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Boost-Commit : |
Subject: [Boost-commit] svn:boost r50503 - in branches/release: boost/math boost/math/policies boost/math/special_functions boost/math/special_functions/detail boost/math/tools libs/math/build libs/math/doc/sf_and_dist libs/math/doc/sf_and_dist/distributions libs/math/doc/sf_and_dist/html libs/math/doc/sf_and_dist/html/math_toolkit libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders libs/math/doc/sf_and_dist/html/math_toolkit/dist libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg libs/math/doc/sf_and_dist/html/math_toolkit/main_overview libs/math/doc/sf_and_dist/html/math_toolkit/perf libs/math/doc/sf_and_dist/html/math_toolkit/policy libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial libs/math/doc/sf_and_dist/html/math_toolkit/special libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint libs/math/doc/sf_and_dist/html/math_toolkit/special/expint libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float libs/math/doc/sf_and_dist/html/math_toolkit/special/powers libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas libs/math/doc/sf_and_dist/html/math_toolkit/status libs/math/doc/sf_and_dist/html/math_toolkit/toolkit libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1 libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2 libs/math/doc/sf_and_dist/html/math_toolkit/using_udt libs/math/src/tr1 libs/math/test
From: john_at_[hidden]
Date: 2009-01-07 11:38:22
Author: johnmaddock
Date: 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
New Revision: 50503
URL: http://svn.boost.org/trac/boost/changeset/50503
Log:
Merge changes from trunk.
Added:
branches/release/boost/math/special_functions/detail/fp_traits.hpp
- copied unchanged from r50502, /trunk/boost/math/special_functions/detail/fp_traits.hpp
branches/release/libs/math/test/test_policy_3.cpp
- copied unchanged from r50502, /trunk/libs/math/test/test_policy_3.cpp
branches/release/libs/math/test/test_policy_4.cpp
- copied unchanged from r50502, /trunk/libs/math/test/test_policy_4.cpp
branches/release/libs/math/test/test_policy_5.cpp
- copied unchanged from r50502, /trunk/libs/math/test/test_policy_5.cpp
branches/release/libs/math/test/test_policy_6.cpp
- copied unchanged from r50502, /trunk/libs/math/test/test_policy_6.cpp
branches/release/libs/math/test/test_policy_7.cpp
- copied unchanged from r50502, /trunk/libs/math/test/test_policy_7.cpp
Text files modified:
branches/release/boost/math/policies/policy.hpp | 15
branches/release/boost/math/special_functions/bessel.hpp | 23 +
branches/release/boost/math/special_functions/beta.hpp | 74 +++++
branches/release/boost/math/special_functions/detail/igamma_inverse.hpp | 31 ++
branches/release/boost/math/special_functions/detail/t_distribution_inv.hpp | 93 ++++--
branches/release/boost/math/special_functions/ellint_1.hpp | 2
branches/release/boost/math/special_functions/ellint_2.hpp | 2
branches/release/boost/math/special_functions/ellint_3.hpp | 2
branches/release/boost/math/special_functions/expint.hpp | 8
branches/release/boost/math/special_functions/expm1.hpp | 41 ++
branches/release/boost/math/special_functions/fpclassify.hpp | 496 +++++++++++++++++++++++++++++++--------
branches/release/boost/math/special_functions/lanczos.hpp | 156 ++++++------
branches/release/boost/math/special_functions/log1p.hpp | 4
branches/release/boost/math/special_functions/sinc.hpp | 2
branches/release/boost/math/special_functions/sinhc.hpp | 3
branches/release/boost/math/tools/config.hpp | 30 ++
branches/release/boost/math/tools/roots.hpp | 18
branches/release/boost/math/tr1.hpp | 32 +-
branches/release/libs/math/build/Jamfile.v2 | 11
branches/release/libs/math/doc/sf_and_dist/credits.qbk | 3
branches/release/libs/math/doc/sf_and_dist/distributions/gamma.qbk | 2
branches/release/libs/math/doc/sf_and_dist/html/index.html | 13
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html | 86 +++---
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html | 56 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html | 42 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html | 36 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html | 50 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html | 100 ++++----
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html | 130 +++++-----
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html | 64 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html | 70 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html | 54 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html | 48 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html | 84 +++---
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html | 68 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html | 50 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html | 66 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html | 72 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html | 58 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html | 62 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html | 106 ++++----
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html | 58 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html | 58 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html | 64 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html | 60 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html | 68 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html | 52 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html | 52 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html | 64 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html | 344 +++++++++++++-------------
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/future.html | 24
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html | 14
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html | 50 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html | 22
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html | 38 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html | 38 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/paired_st.html | 14
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_size.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_test.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/two_sample_students_t.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/contact.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html | 154 ++++++------
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html | 57 ++-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html | 56 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/namespaces.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/perf_over.html | 14
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/pol_overview.html | 34 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/result_type.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/threads.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html | 36 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html | 42 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html | 168 ++++++------
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html | 42 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/interp.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_over.html | 14
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_test_app.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/tuning.html | 52 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_overview.html | 34 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/assert_undefined.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html | 32 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html | 44 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/iteration_pol.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/namespace_pol.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/pol_ref_ref.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html | 76 +++---
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/precision_pol.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/changing_policy_defaults.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/namespace_policies.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_tut_defaults.html | 14
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_usage.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/user_def_err_pol.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/what_is_a_policy.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html | 62 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html | 32 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html | 62 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html | 58 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html | 68 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html | 68 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html | 68 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html | 108 ++++----
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html | 38 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html | 58 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html | 52 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/c99.html | 48 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1.html | 36 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1_ref.html | 64 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html | 36 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html | 30 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html | 50 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html | 38 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html | 38 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/fpclass.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html | 36 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html | 34 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html | 40 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/inv_hyper_over.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_advance.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_distance.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_next.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_prior.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/nextafter.html | 24
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html | 28 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html | 52 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html | 28 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html | 24
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html | 28 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html | 28 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html | 28 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/modf.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/round.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/trunc.html | 10
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html | 42 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html | 54 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html | 94 +++---
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html | 154 ++++++------
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html | 66 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html | 62 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html | 52 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html | 42 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html | 64 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html | 108 ++++----
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html | 86 +++---
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html | 68 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html | 82 +++---
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html | 54 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html | 72 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html | 92 +++---
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html | 74 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_pi.html | 24
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinhc_pi.html | 26 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html | 52 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/compilers.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/credits.html | 11
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html | 57 ++-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html | 46 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html | 24
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html | 24
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html | 36 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html | 64 ++--
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/minimax.html | 12
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html | 16
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html | 32 +-
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals_overview.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html | 8
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html | 20
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/dist_concept.html | 14
branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/use_ntl.html | 10
branches/release/libs/math/doc/sf_and_dist/math.qbk | 4
branches/release/libs/math/doc/sf_and_dist/roadmap.qbk | 6
branches/release/libs/math/src/tr1/llround.cpp | 2
branches/release/libs/math/src/tr1/llroundf.cpp | 2
branches/release/libs/math/src/tr1/llroundl.cpp | 2
branches/release/libs/math/test/Jamfile.v2 | 15 +
branches/release/libs/math/test/complex_test.cpp | 4
branches/release/libs/math/test/log1p_expm1_test.cpp | 9
branches/release/libs/math/test/test_classify.cpp | 37 ++
branches/release/libs/math/test/test_constants.cpp | 7
branches/release/libs/math/test/test_expint.cpp | 7
branches/release/libs/math/test/test_nc_beta.cpp | 5
branches/release/libs/math/test/test_nc_chi_squared.cpp | 2
branches/release/libs/math/test/test_poisson.cpp | 2
branches/release/libs/math/test/test_policy_2.cpp | 70 -----
254 files changed, 4559 insertions(+), 4011 deletions(-)
Modified: branches/release/boost/math/policies/policy.hpp
==============================================================================
--- branches/release/boost/math/policies/policy.hpp (original)
+++ branches/release/boost/math/policies/policy.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -92,7 +92,8 @@
#define BOOST_MATH_MAX_ROOT_ITERATION_POLICY 200
#endif
-#if !defined(__BORLANDC__)
+#if !defined(__BORLANDC__) \
+ && !(defined(__GNUC__) && (__GNUC__ == 3) && (__GNUC_MINOR__ <= 2))
#define BOOST_MATH_META_INT(type, name, Default)\
template <type N = Default> struct name : public boost::mpl::int_<N>{};\
namespace detail{\
@@ -106,7 +107,7 @@
BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\
};\
}\
- template <class T> struct is_##name : public boost::mpl::bool_<detail::is_##name##_imp<T>::value>{};
+ template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{};
#define BOOST_MATH_META_BOOL(name, Default)\
template <bool N = Default> struct name : public boost::mpl::bool_<N>{};\
@@ -121,7 +122,7 @@
BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\
};\
}\
- template <class T> struct is_##name : public boost::mpl::bool_<detail::is_##name##_imp<T>::value>{};
+ template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{};
#else
#define BOOST_MATH_META_INT(Type, name, Default)\
template <Type N = Default> struct name : public boost::mpl::int_<N>{};\
@@ -137,10 +138,10 @@
template <class T> struct is_##name##_imp\
{\
static T inst;\
- BOOST_STATIC_CONSTANT(bool, value = sizeof(detail::is_##name##_tester<T>::test(inst)) == 1);\
+ BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\
};\
}\
- template <class T> struct is_##name : public boost::mpl::bool_<detail::is_##name##_imp<T>::value>\
+ template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\
{\
template <class U> struct apply{ typedef is_##name<U> type; };\
};
@@ -159,10 +160,10 @@
template <class T> struct is_##name##_imp\
{\
static T inst;\
- BOOST_STATIC_CONSTANT(bool, value = sizeof(detail::is_##name##_tester<T>::test(inst)) == 1);\
+ BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\
};\
}\
- template <class T> struct is_##name : public boost::mpl::bool_<detail::is_##name##_imp<T>::value>\
+ template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\
{\
template <class U> struct apply{ typedef is_##name<U> type; };\
};
Modified: branches/release/boost/math/special_functions/bessel.hpp
==============================================================================
--- branches/release/boost/math/special_functions/bessel.hpp (original)
+++ branches/release/boost/math/special_functions/bessel.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -307,6 +307,10 @@
inline T cyl_neumann_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol)
{
static const char* function = "boost::math::cyl_neumann<%1%>(%1%,%1%)";
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(v);
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+
if(x <= 0)
{
return (v == 0) && (x == 0) ?
@@ -332,6 +336,10 @@
{
BOOST_MATH_STD_USING
typedef typename bessel_asymptotic_tag<T, Policy>::type tag_type;
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(v);
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+
if(floor(v) == v)
{
if((fabs(x) > asymptotic_bessel_y_limit<T>(tag_type())) && (fabs(x) > 5 * abs(v)))
@@ -339,12 +347,19 @@
T r = asymptotic_bessel_y_large_x_2(static_cast<T>(abs(v)), x);
if((v < 0) && (itrunc(v, pol) & 1))
r = -r;
+ BOOST_MATH_INSTRUMENT_VARIABLE(r);
return r;
}
else
- return bessel_yn(itrunc(v, pol), x, pol);
+ {
+ T r = bessel_yn(itrunc(v, pol), x, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(r);
+ return r;
+ }
}
- return cyl_neumann_imp<T>(v, x, bessel_no_int_tag(), pol);
+ T r = cyl_neumann_imp<T>(v, x, bessel_no_int_tag(), pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(r);
+ return r;
}
template <class T, class Policy>
@@ -352,6 +367,10 @@
{
BOOST_MATH_STD_USING
typedef typename bessel_asymptotic_tag<T, Policy>::type tag_type;
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(v);
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+
if((fabs(x) > asymptotic_bessel_y_limit<T>(tag_type())) && (fabs(x) > 5 * abs(v)))
{
T r = asymptotic_bessel_y_large_x_2(static_cast<T>(abs(v)), x);
Modified: branches/release/boost/math/special_functions/beta.hpp
==============================================================================
--- branches/release/boost/math/special_functions/beta.hpp (original)
+++ branches/release/boost/math/special_functions/beta.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -242,13 +242,25 @@
// since one of the power terms will evaluate to a number close to 1.
//
if(fabs(l1) < 0.1)
+ {
result *= exp(a * boost::math::log1p(l1, pol));
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+ }
else
+ {
result *= pow((x * cgh) / agh, a);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+ }
if(fabs(l2) < 0.1)
+ {
result *= exp(b * boost::math::log1p(l2, pol));
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+ }
else
+ {
result *= pow((y * cgh) / bgh, b);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+ }
}
else if((std::max)(fabs(l1), fabs(l2)) < 0.5)
{
@@ -279,6 +291,7 @@
l3 = l1 + l3 + l3 * l1;
l3 = a * boost::math::log1p(l3, pol);
result *= exp(l3);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else
{
@@ -286,6 +299,7 @@
l3 = l2 + l3 + l3 * l2;
l3 = b * boost::math::log1p(l3, pol);
result *= exp(l3);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
}
else if(fabs(l1) < fabs(l2))
@@ -294,6 +308,7 @@
T l = a * boost::math::log1p(l1, pol)
+ b * log((y * cgh) / bgh);
result *= exp(l);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else
{
@@ -301,6 +316,7 @@
T l = b * boost::math::log1p(l2, pol)
+ a * log((x * cgh) / agh);
result *= exp(l);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
}
else
@@ -321,11 +337,13 @@
result *= pow(pow(b2, b/a) * b1, a);
else
result *= pow(pow(b1, a/b) * b2, b);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else
{
// finally the normal case:
result *= pow(b1, a) * pow(b2, b);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
}
// combine with the leftover terms from the Lanczos approximation:
@@ -333,6 +351,8 @@
result *= sqrt(agh / cgh);
result *= prefix;
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+
return result;
}
//
@@ -624,6 +644,9 @@
T ibeta_a_step(T a, T b, T x, T y, int k, const Policy& pol, bool normalised, T* p_derivative)
{
typedef typename lanczos::lanczos<T, Policy>::type lanczos_type;
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(k);
+
T prefix = ibeta_power_terms(a, b, x, y, lanczos_type(), normalised, pol);
if(p_derivative)
{
@@ -662,6 +685,7 @@
// This is only called with small k, for large k
// it is grossly inefficient, do not use outside it's
// intended purpose!!!
+ BOOST_MATH_INSTRUMENT_VARIABLE(k);
if(k == 0)
return 1;
T result = 1;
@@ -845,6 +869,12 @@
typedef typename lanczos::lanczos<T, Policy>::type lanczos_type;
BOOST_MATH_STD_USING // for ADL of std math functions.
+ BOOST_MATH_INSTRUMENT_VARIABLE(a);
+ BOOST_MATH_INSTRUMENT_VARIABLE(b);
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+ BOOST_MATH_INSTRUMENT_VARIABLE(inv);
+ BOOST_MATH_INSTRUMENT_VARIABLE(normalised);
+
bool invert = inv;
T fract;
T y = 1 - x;
@@ -894,6 +924,7 @@
std::swap(a, b);
std::swap(x, y);
invert = !invert;
+ BOOST_MATH_INSTRUMENT_VARIABLE(invert);
}
if((std::max)(a, b) <= 1)
{
@@ -901,12 +932,16 @@
if((a >= (std::min)(T(0.2), b)) || (pow(x, a) <= 0.9))
{
if(!invert)
+ {
fract = ibeta_series(a, b, x, T(0), lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract = -(normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -ibeta_series(a, b, x, fract, lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
else
@@ -917,12 +952,16 @@
if(y >= 0.3)
{
if(!invert)
+ {
fract = ibeta_series(a, b, x, T(0), lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract = -(normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -ibeta_series(a, b, x, fract, lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
else
@@ -939,12 +978,16 @@
}
fract = ibeta_a_step(a, b, x, y, 20, pol, normalised, p_derivative);
if(!invert)
+ {
fract = beta_small_b_large_a_series(a + 20, b, x, y, fract, prefix, pol, normalised);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract -= (normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -beta_small_b_large_a_series(a + 20, b, x, y, fract, prefix, pol, normalised);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
}
@@ -955,12 +998,16 @@
if((b <= 1) || ((x < 0.1) && (pow(b * x, a) <= 0.7)))
{
if(!invert)
+ {
fract = ibeta_series(a, b, x, T(0), lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract = -(normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -ibeta_series(a, b, x, fract, lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
else
@@ -972,23 +1019,31 @@
if(y >= 0.3)
{
if(!invert)
+ {
fract = ibeta_series(a, b, x, T(0), lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract = -(normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -ibeta_series(a, b, x, fract, lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
else if(a >= 15)
{
if(!invert)
+ {
fract = beta_small_b_large_a_series(a, b, x, y, T(0), T(1), pol, normalised);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract = -(normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -beta_small_b_large_a_series(a, b, x, y, fract, T(1), pol, normalised);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
else
@@ -1004,13 +1059,18 @@
prefix = 1;
}
fract = ibeta_a_step(a, b, x, y, 20, pol, normalised, p_derivative);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
if(!invert)
+ {
fract = beta_small_b_large_a_series(a + 20, b, x, y, fract, prefix, pol, normalised);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract -= (normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -beta_small_b_large_a_series(a + 20, b, x, y, fract, prefix, pol, normalised);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
}
@@ -1033,6 +1093,7 @@
std::swap(a, b);
std::swap(x, y);
invert = !invert;
+ BOOST_MATH_INSTRUMENT_VARIABLE(invert);
}
if(b < 40)
@@ -1045,16 +1106,21 @@
fract = binomial_ccdf(n, k, x, y);
if(!normalised)
fract *= boost::math::beta(a, b, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
else if(b * x <= 0.7)
{
if(!invert)
+ {
fract = ibeta_series(a, b, x, T(0), lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
else
{
fract = -(normalised ? 1 : boost::math::beta(a, b, pol));
invert = false;
fract = -ibeta_series(a, b, x, fract, lanczos_type(), normalised, p_derivative, y, pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
}
else if(a > 15)
@@ -1076,6 +1142,7 @@
fract = ibeta_a_step(bbar, a, y, x, n, pol, normalised, static_cast<T*>(0));
fract = beta_small_b_large_a_series(a, bbar, x, y, fract, T(1), pol, normalised);
fract /= prefix;
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
else if(normalised)
{
@@ -1100,12 +1167,19 @@
fract = -fract;
invert = false;
}
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
}
else
+ {
fract = ibeta_fraction2(a, b, x, y, pol, normalised, p_derivative);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
}
else
+ {
fract = ibeta_fraction2(a, b, x, y, pol, normalised, p_derivative);
+ BOOST_MATH_INSTRUMENT_VARIABLE(fract);
+ }
}
if(p_derivative)
{
Modified: branches/release/boost/math/special_functions/detail/igamma_inverse.hpp
==============================================================================
--- branches/release/boost/math/special_functions/detail/igamma_inverse.hpp (original)
+++ branches/release/boost/math/special_functions/detail/igamma_inverse.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -109,11 +109,16 @@
T result;
if(a == 1)
+ {
result = -log(q);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+ }
else if(a < 1)
{
T g = boost::math::tgamma(a, pol);
T b = q * g;
+ BOOST_MATH_INSTRUMENT_VARIABLE(g);
+ BOOST_MATH_INSTRUMENT_VARIABLE(b);
if((b > 0.6) || ((b >= 0.45) && (a >= 0.3)))
{
// DiDonato & Morris Eq 21:
@@ -127,12 +132,15 @@
if((b * q > 1e-8) && (q > 1e-5))
{
u = pow(p * g * a, 1 / a);
+ BOOST_MATH_INSTRUMENT_VARIABLE(u);
}
else
{
u = exp((-q / a) - constants::euler<T>());
+ BOOST_MATH_INSTRUMENT_VARIABLE(u);
}
result = u / (1 - (u / (a + 1)));
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else if((a < 0.3) && (b >= 0.35))
{
@@ -140,6 +148,7 @@
T t = exp(-constants::euler<T>() - b);
T u = t * exp(t);
result = t * exp(u);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else if((b > 0.15) || (a >= 0.3))
{
@@ -147,6 +156,7 @@
T y = -log(b);
T u = y - (1 - a) * log(y);
result = y - (1 - a) * log(u) - log(1 + (1 - a) / (1 + u));
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else if (b > 0.1)
{
@@ -154,6 +164,7 @@
T y = -log(b);
T u = y - (1 - a) * log(y);
result = y - (1 - a) * log(u) - log((u * u + 2 * (3 - a) * u + (2 - a) * (3 - a)) / (u * u + (5 - a) * u + 2));
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else
{
@@ -179,6 +190,7 @@
T y_3 = y_2 * y;
T y_4 = y_2 * y_2;
result = y + c1 + (c2 / y) + (c3 / y_2) + (c4 / y_3) + (c5 / y_4);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
}
else
@@ -186,26 +198,34 @@
// DiDonato and Morris Eq 31:
T s = find_inverse_s(p, q);
+ BOOST_MATH_INSTRUMENT_VARIABLE(s);
+
T s_2 = s * s;
T s_3 = s_2 * s;
T s_4 = s_2 * s_2;
T s_5 = s_4 * s;
T ra = sqrt(a);
+ BOOST_MATH_INSTRUMENT_VARIABLE(ra);
+
T w = a + s * ra + (s * s -1) / 3;
w += (s_3 - 7 * s) / (36 * ra);
w -= (3 * s_4 + 7 * s_2 - 16) / (810 * a);
w += (9 * s_5 + 256 * s_3 - 433 * s) / (38880 * a * ra);
+ BOOST_MATH_INSTRUMENT_VARIABLE(w);
+
if((a >= 500) && (fabs(1 - w / a) < 1e-6))
{
result = w;
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else if (p > 0.5)
{
if(w < 3 * a)
{
result = w;
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else
{
@@ -236,12 +256,14 @@
T y_3 = y_2 * y;
T y_4 = y_2 * y_2;
result = y + c1 + (c2 / y) + (c3 / y_2) + (c4 / y_3) + (c5 / y_4);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else
{
// DiDonato and Morris Eq 33:
T u = -lb + (a - 1) * log(w) - log(1 + (1 - a) / (1 + w));
result = -lb + (a - 1) * log(u) - log(1 + (1 - a) / (1 + u));
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
}
}
@@ -253,9 +275,12 @@
z = didonato_FN(p, a, z, 2, T(0), pol);
z = didonato_FN(p, a, z, 3, T(0), pol);
+ BOOST_MATH_INSTRUMENT_VARIABLE(z);
+
if((z <= 0.01 * (a + 1)) || (z > 0.7 * (a + 1)))
{
result = z;
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
else
{
@@ -263,6 +288,7 @@
T zb = didonato_FN(p, a, z, 100, T(1e-4), pol);
T u = log(p) + boost::math::lgamma(a + 1, pol);
result = zb * (1 - (a * log(zb) - zb - u + log(didonato_SN(a, z, 100, T(1e-4)))) / (a - zb));
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
}
}
}
@@ -349,6 +375,9 @@
static const char* function = "boost::math::gamma_p_inv<%1%>(%1%, %1%)";
+ BOOST_MATH_INSTRUMENT_VARIABLE(a);
+ BOOST_MATH_INSTRUMENT_VARIABLE(p);
+
if(a <= 0)
policies::raise_domain_error<T>(function, "Argument a in the incomplete gamma function inverse must be >= 0 (got a=%1%).", a, pol);
if((p < 0) || (p > 1))
@@ -361,6 +390,7 @@
T lower = tools::min_value<T>();
if(guess <= lower)
guess = tools::min_value<T>();
+ BOOST_MATH_INSTRUMENT_VARIABLE(guess);
//
// Work out how many digits to converge to, normally this is
// 2/3 of the digits in T, but if the first derivative is very
@@ -379,6 +409,7 @@
lower,
tools::max_value<T>(),
digits);
+ BOOST_MATH_INSTRUMENT_VARIABLE(guess);
if(guess == lower)
guess = policies::raise_underflow_error<T>(function, "Expected result known to be non-zero, but is smaller than the smallest available number.", pol);
return guess;
Modified: branches/release/boost/math/special_functions/detail/t_distribution_inv.hpp
==============================================================================
--- branches/release/boost/math/special_functions/detail/t_distribution_inv.hpp (original)
+++ branches/release/boost/math/special_functions/detail/t_distribution_inv.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -143,35 +143,60 @@
// Figure out what the coefficients are, note these depend
// only on the degrees of freedom (Eq 57 of Shaw):
//
- c[2] = T(1) / 6 + T(1) / (6 * df);
+ c[2] = 0.16666666666666666667 + 0.16666666666666666667 / df;
T in = 1 / df;
- c[3] = (((T(1) / 120) * in) + (T(1) / 15)) * in + (T(7) / 120);
- c[4] = ((((T(1) / 5040) * in + (T(1) / 560)) * in + (T(3) / 112)) * in + T(127) / 5040);
- c[5] = ((((T(1) / 362880) * in + (T(17) / 45360)) * in + (T(67) / 60480)) * in + (T(479) / 45360)) * in + (T(4369) / 362880);
- c[6] = ((((((T(1) / 39916800) * in + (T(2503) / 39916800)) * in + (T(11867) / 19958400)) * in + (T(1285) / 798336)) * in + (T(153161) / 39916800)) * in + (T(34807) / 5702400));
- c[7] = (((((((T(1) / 6227020800LL) * in + (T(37) / 2402400)) * in +
- (T(339929) / 2075673600LL)) * in + (T(67217) / 97297200)) * in +
- (T(870341) / 691891200LL)) * in + (T(70691) / 64864800LL)) * in +
- (T(20036983LL) / 6227020800LL));
- c[8] = (((((((T(1) / 1307674368000LL) * in + (T(1042243LL) / 261534873600LL)) * in +
- (T(21470159) / 435891456000LL)) * in + (T(326228899LL) / 1307674368000LL)) * in +
- (T(843620579) / 1307674368000LL)) * in + (T(332346031LL) / 435891456000LL)) * in +
- (T(43847599) / 1307674368000LL)) * in + (T(2280356863LL) / 1307674368000LL);
- c[9] = (((((((((T(1) / 355687428096000LL)) * in + (T(24262727LL) / 22230464256000LL)) * in +
- (T(123706507LL) / 8083805184000LL)) * in + (T(404003599LL) / 4446092851200LL)) * in +
- (T(51811946317LL) / 177843714048000LL)) * in + (T(91423417LL) / 177843714048LL)) * in +
- (T(32285445833LL) / 88921857024000LL)) * in + (T(531839683LL) / 1710035712000LL)) * in +
- (T(49020204823LL) / 50812489728000LL);
- c[10] = (((((((((T(1) / 121645100408832000LL) * in +
- (T(4222378423LL) / 13516122267648000LL)) * in +
- (T(49573465457LL) / 10137091700736000LL)) * in +
- (T(176126809LL) / 5304600576000LL)) * in +
- (T(44978231873LL) / 355687428096000LL)) * in +
- (T(5816850595639LL) / 20274183401472000LL)) * in +
- (T(73989712601LL) / 206879422464000LL)) * in +
- (T(26591354017LL) / 259925428224000LL)) * in +
- (T(14979648446341LL) / 40548366802944000LL)) * in +
- (T(65967241200001LL) / 121645100408832000LL);
+ c[3] = (0.0083333333333333333333 * in
+ + 0.066666666666666666667) * in
+ + 0.058333333333333333333;
+ c[4] = ((0.00019841269841269841270 * in
+ + 0.0017857142857142857143) * in
+ + 0.026785714285714285714) * in
+ + 0.025198412698412698413;
+ c[5] = (((2.7557319223985890653e10-6 * in
+ + 0.00037477954144620811287) * in
+ - 0.0011078042328042328042) * in
+ + 0.010559964726631393298) * in
+ + 0.012039792768959435626;
+ c[6] = ((((2.5052108385441718775e-8 * in
+ - 0.000062705427288760622094) * in
+ + 0.00059458674042007375341) * in
+ - 0.0016095979637646304313) * in
+ + 0.0061039211560044893378) * in
+ + 0.0038370059724226390893;
+ c[7] = (((((1.6059043836821614599e-10 * in
+ + 0.000015401265401265401265) * in
+ - 0.00016376804137220803887) * in
+ + 0.00069084207973096861986) * in
+ - 0.0012579159844784844785) * in
+ + 0.0010898206731540064873) * in
+ + 0.0032177478835464946576;
+ c[8] = ((((((7.6471637318198164759e-13 * in
+ - 3.9851014346715404916e-6) * in
+ + 0.000049255746366361445727) * in
+ - 0.00024947258047043099953) * in
+ + 0.00064513046951456342991) * in
+ - 0.00076245135440323932387) * in
+ + 0.000033530976880017885309) * in
+ + 0.0017438262298340009980;
+ c[9] = (((((((2.8114572543455207632e-15 * in
+ + 1.0914179173496789432e-6) * in
+ - 0.000015303004486655377567) * in
+ + 0.000090867107935219902229) * in
+ - 0.00029133414466938067350) * in
+ + 0.00051406605788341121363) * in
+ - 0.00036307660358786885787) * in
+ - 0.00031101086326318780412) * in
+ + 0.00096472747321388644237;
+ c[10] = ((((((((8.2206352466243297170e-18 * in
+ - 3.1239569599829868045e-7) * in
+ + 4.8903045291975346210e-6) * in
+ - 0.000033202652391372058698) * in
+ + 0.00012645437628698076975) * in
+ - 0.00028690924218514613987) * in
+ + 0.00035764655430568632777) * in
+ - 0.00010230378073700412687) * in
+ - 0.00036942667800009661203) * in
+ + 0.00054229262813129686486;
//
// The result is then a polynomial in v (see Eq 56 of Shaw):
//
@@ -241,7 +266,7 @@
T root_alpha = sqrt(alpha);
T r = 4 * cos(acos(root_alpha) / 3) / root_alpha;
T x = sqrt(r - 4);
- result = u - 0.5f < 0 ? -x : x;
+ result = u - 0.5f < 0 ? (T)-x : x;
if(pexact)
*pexact = true;
break;
@@ -260,7 +285,7 @@
//
T a = 4 * (u - u * u);//1 - 4 * (u - 0.5f) * (u - 0.5f);
T b = boost::math::cbrt(a);
- static const T c = 0.85498797333834849467655443627193L;
+ static const T c = 0.85498797333834849467655443627193;
T p = 6 * (1 + c * (1 / b - 1));
T p0;
do{
@@ -275,7 +300,7 @@
// Use Eq 45 to extract the result:
//
p = sqrt(p - df);
- result = (u - 0.5f) < 0 ? -p : p;
+ result = (u - 0.5f) < 0 ? (T)-p : p;
break;
}
#if 0
@@ -370,7 +395,7 @@
// where we use Shaw's tail series.
// The crossover point is roughly exponential in -df:
//
- T crossover = ldexp(1.0f, iround(df / -0.654f, pol));
+ T crossover = ldexp(1.0f, iround(T(df / -0.654f), pol));
if(u > crossover)
{
result = boost::math::detail::inverse_students_t_hill(df, u, pol);
@@ -381,13 +406,13 @@
}
}
}
- return invert ? -result : result;
+ return invert ? (T)-result : result;
}
template <class T, class Policy>
inline T find_ibeta_inv_from_t_dist(T a, T p, T q, T* py, const Policy& pol)
{
- T u = (p > q) ? 0.5f - q / 2 : p / 2;
+ T u = (p > q) ? T(0.5f - q) / T(2) : T(p / 2);
T v = 1 - u; // u < 0.5 so no cancellation error
T df = a * 2;
T t = boost::math::detail::inverse_students_t(df, u, v, pol);
Modified: branches/release/boost/math/special_functions/ellint_1.hpp
==============================================================================
--- branches/release/boost/math/special_functions/ellint_1.hpp (original)
+++ branches/release/boost/math/special_functions/ellint_1.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -90,7 +90,7 @@
BOOST_MATH_INSTRUMENT_CODE("pi/2 = " << constants::pi<T>() / 2);
T rphi = boost::math::tools::fmod_workaround(phi, constants::pi<T>() / 2);
BOOST_MATH_INSTRUMENT_VARIABLE(rphi);
- T m = 2 * (phi - rphi) / constants::pi<T>();
+ T m = floor((2 * phi) / constants::pi<T>());
BOOST_MATH_INSTRUMENT_VARIABLE(m);
int s = 1;
if(boost::math::tools::fmod_workaround(m, T(2)) > 0.5)
Modified: branches/release/boost/math/special_functions/ellint_2.hpp
==============================================================================
--- branches/release/boost/math/special_functions/ellint_2.hpp (original)
+++ branches/release/boost/math/special_functions/ellint_2.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -75,7 +75,7 @@
// so rewritten to use fmod instead:
//
T rphi = boost::math::tools::fmod_workaround(phi, constants::pi<T>() / 2);
- T m = 2 * (phi - rphi) / constants::pi<T>();
+ T m = floor((2 * phi) / constants::pi<T>());
int s = 1;
if(boost::math::tools::fmod_workaround(m, T(2)) > 0.5)
{
Modified: branches/release/boost/math/special_functions/ellint_3.hpp
==============================================================================
--- branches/release/boost/math/special_functions/ellint_3.hpp (original)
+++ branches/release/boost/math/special_functions/ellint_3.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -183,7 +183,7 @@
else
{
T rphi = boost::math::tools::fmod_workaround(fabs(phi), constants::pi<T>() / 2);
- T m = 2 * (fabs(phi) - rphi) / constants::pi<T>();
+ T m = floor((2 * fabs(phi)) / constants::pi<T>());
int sign = 1;
if(boost::math::tools::fmod_workaround(m, T(2)) > 0.5)
{
Modified: branches/release/boost/math/special_functions/expint.hpp
==============================================================================
--- branches/release/boost/math/special_functions/expint.hpp (original)
+++ branches/release/boost/math/special_functions/expint.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -551,7 +551,7 @@
-0.138972589601781706598e-4L
};
- static const T r1 = static_cast<T>(1677624236387711.0L) / 4503599627370496uLL;
+ static const T r1 = static_cast<T>(1677624236387711.0L / 4503599627370496.0L);
static const T r2 = 0.131401834143860282009280387409357165515556574352422001206362e-16L;
static const T r = static_cast<T>(0.372507410781366634461991866580119133535689497771654051555657435242200120636201854384926049951548942392L);
T t = (z / 3) - 1;
@@ -766,7 +766,7 @@
0.131515429329812837701e-5L
};
- static const T r1 = static_cast<T>(1677624236387711.0L) / 4503599627370496uLL;
+ static const T r1 = static_cast<T>(1677624236387711.0L / 4503599627370496.0L);
static const T r2 = 0.131401834143860282009280387409357165515556574352422001206362e-16L;
static const T r = static_cast<T>(0.372507410781366634461991866580119133535689497771654051555657435242200120636201854384926049951548942392L);
T t = (z / 3) - 1;
@@ -1012,8 +1012,8 @@
0.382742953753485333207877784720070523e-12L
};
- static const T r1 = static_cast<T>(1677624236387711.0L) / 4503599627370496uLL;
- static const T r2 = (static_cast<T>(266514582277687.0L) / 4503599627370496uLL) / 4503599627370496uLL;
+ static const T r1 = static_cast<T>(1677624236387711.0L / 4503599627370496.0L);
+ static const T r2 = static_cast<T>(266514582277687.0L / 4503599627370496.0L / 4503599627370496.0L);
static const T r3 = static_cast<T>(0.283806480836357377069325311780969887585024578164571984232357e-31L);
static const T r = static_cast<T>(0.372507410781366634461991866580119133535689497771654051555657435242200120636201854384926049951548942392L);
T t = (z / 3) - 1;
Modified: branches/release/boost/math/special_functions/expm1.hpp
==============================================================================
--- branches/release/boost/math/special_functions/expm1.hpp (original)
+++ branches/release/boost/math/special_functions/expm1.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -76,7 +76,15 @@
T a = fabs(x);
if(a > T(0.5L))
+ {
+ if(a >= tools::log_max_value<T>())
+ {
+ if(x > 0)
+ return policies::raise_overflow_error<T>("boost::math::expm1<%1%>(%1%)", 0, pol);
+ return -1;
+ }
return exp(x) - T(1);
+ }
if(a < tools::epsilon<T>())
return x;
detail::expm1_series<T> s(x);
@@ -92,13 +100,21 @@
}
template <class T, class P>
-T expm1_imp(T x, const mpl::int_<53>&, const P&)
+T expm1_imp(T x, const mpl::int_<53>&, const P& pol)
{
BOOST_MATH_STD_USING
T a = fabs(x);
if(a > T(0.5L))
+ {
+ if(a >= tools::log_max_value<T>())
+ {
+ if(x > 0)
+ return policies::raise_overflow_error<T>("boost::math::expm1<%1%>(%1%)", 0, pol);
+ return -1;
+ }
return exp(x) - T(1);
+ }
if(a < tools::epsilon<T>())
return x;
@@ -111,13 +127,21 @@
}
template <class T, class P>
-T expm1_imp(T x, const mpl::int_<64>&, const P&)
+T expm1_imp(T x, const mpl::int_<64>&, const P& pol)
{
BOOST_MATH_STD_USING
T a = fabs(x);
if(a > T(0.5L))
+ {
+ if(a >= tools::log_max_value<T>())
+ {
+ if(x > 0)
+ return policies::raise_overflow_error<T>("boost::math::expm1<%1%>(%1%)", 0, pol);
+ return -1;
+ }
return exp(x) - T(1);
+ }
if(a < tools::epsilon<T>())
return x;
@@ -146,13 +170,21 @@
}
template <class T, class P>
-T expm1_imp(T x, const mpl::int_<113>&, const P&)
+T expm1_imp(T x, const mpl::int_<113>&, const P& pol)
{
BOOST_MATH_STD_USING
T a = fabs(x);
if(a > T(0.5L))
+ {
+ if(a >= tools::log_max_value<T>())
+ {
+ if(x > 0)
+ return policies::raise_overflow_error<T>("boost::math::expm1<%1%>(%1%)", 0, pol);
+ return -1;
+ }
return exp(x) - T(1);
+ }
if(a < tools::epsilon<T>())
return x;
@@ -233,7 +265,7 @@
#endif
#if defined(BOOST_HAS_EXPM1) && !(defined(__osf__) && defined(__DECCXX_VER))
-# if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901)
+# ifdef BOOST_MATH_USE_C99
inline float expm1(float x, const policies::policy<>&){ return ::expm1f(x); }
inline long double expm1(long double x, const policies::policy<>&){ return ::expm1l(x); }
#else
@@ -272,3 +304,4 @@
+
Modified: branches/release/boost/math/special_functions/fpclassify.hpp
==============================================================================
--- branches/release/boost/math/special_functions/fpclassify.hpp (original)
+++ branches/release/boost/math/special_functions/fpclassify.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -1,4 +1,5 @@
-// Copyright John Maddock 2005-2006.
+// Copyright John Maddock 2005-2008.
+// Copyright (c) 2006-2008 Johan Rade
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
@@ -16,6 +17,59 @@
#include <boost/math/tools/real_cast.hpp>
#include <boost/type_traits/is_floating_point.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/special_functions/detail/fp_traits.hpp>
+
+/*
+
+1. If the platform is C99 compliant, then the native floating point
+classification functions are used. However, note that we must only
+define the functions which call std::fpclassify etc if that function
+really does exist: otherwise a compiler may reject the code even though
+the template is never instantiated.
+
+2. If the platform is not C99 compliant, and the binary format for
+a floating point type (float, double or long double) can be determined
+at compile time, then the following algorithm is used:
+
+ If all exponent bits, the flag bit (if there is one),
+ and all significand bits are 0, then the number is zero.
+
+ If all exponent bits and the flag bit (if there is one) are 0,
+ and at least one significand bit is 1, then the number is subnormal.
+
+ If all exponent bits are 1 and all significand bits are 0,
+ then the number is infinity.
+
+ If all exponent bits are 1 and at least one significand bit is 1,
+ then the number is a not-a-number.
+
+ Otherwise the number is normal.
+
+ This algorithm works for the IEEE 754 representation,
+ and also for several non IEEE 754 formats.
+
+ Most formats have the structure
+ sign bit + exponent bits + significand bits.
+
+ A few have the structure
+ sign bit + exponent bits + flag bit + significand bits.
+ The flag bit is 0 for zero and subnormal numbers,
+ and 1 for normal numbers and NaN.
+ It is 0 (Motorola 68K) or 1 (Intel) for infinity.
+
+ To get the bits, the four or eight most significant bytes are copied
+ into an uint32_t or uint64_t and bit masks are applied.
+ This covers all the exponent bits and the flag bit (if there is one),
+ but not always all the significand bits.
+ Some of the functions below have two implementations,
+ depending on whether all the significand bits are copied or not.
+
+3. If the platform is not C99 compliant, and the binary format for
+a floating point type (float, double or long double) can not be determined
+at compile time, then comparison with std::numeric_limits values
+is used.
+
+*/
#if defined(_MSC_VER) || defined(__BORLANDC__)
#include <float.h>
@@ -25,45 +79,6 @@
namespace std{ using ::abs; using ::fabs; }
#endif
-#ifndef FP_NORMAL
-
-#define FP_ZERO 0
-#define FP_NORMAL 1
-#define FP_INFINITE 2
-#define FP_NAN 3
-#define FP_SUBNORMAL 4
-
-#else
-
-#define BOOST_HAS_FPCLASSIFY
-
-#ifndef fpclassify
-# if (defined(__GLIBCPP__) || defined(__GLIBCXX__)) \
- && defined(_GLIBCXX_USE_C99_MATH) \
- && !(defined(_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC) \
- && (_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC != 0))
-# ifdef _STLP_VENDOR_CSTD
-# define BOOST_FPCLASSIFY_PREFIX ::_STLP_VENDOR_CSTD::
-# else
-# define BOOST_FPCLASSIFY_PREFIX ::std::
-# endif
-# else
-# undef BOOST_HAS_FPCLASSIFY
-# define BOOST_FPCLASSIFY_PREFIX
-# endif
-#elif (defined(__HP_aCC) && !defined(__hppa))
-// aCC 6 appears to do "#define fpclassify fpclassify" which messes us up a bit!
-# define BOOST_FPCLASSIFY_PREFIX ::
-#else
-# define BOOST_FPCLASSIFY_PREFIX
-#endif
-
-#ifdef __MINGW32__
-# undef BOOST_HAS_FPCLASSIFY
-#endif
-
-#endif
-
namespace boost{
#if defined(BOOST_HAS_FPCLASSIFY) || defined(isnan)
@@ -98,9 +113,19 @@
namespace detail{
+#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
template <class T>
-inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const mpl::true_&)
+inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const native_tag&)
{
+ return (std::fpclassify)(t);
+}
+#endif
+
+template <class T>
+inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const generic_tag<true>&)
+{
+ BOOST_MATH_INSTRUMENT_VARIABLE(t);
+
// whenever possible check for Nan's first:
#ifdef BOOST_HAS_FPCLASSIFY
if(::boost::math_detail::is_nan_helper(t, ::boost::is_floating_point<T>()))
@@ -133,121 +158,370 @@
}
template <class T>
-inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const mpl::false_&)
+inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const generic_tag<false>&)
{
+#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ if(std::numeric_limits<T>::is_specialized)
+ return fp_classify_imp(t, mpl::true_());
+#endif
//
// An unknown type with no numeric_limits support,
// so what are we supposed to do we do here?
//
+ BOOST_MATH_INSTRUMENT_VARIABLE(t);
+
return t == 0 ? FP_ZERO : FP_NORMAL;
}
+template<class T>
+int fpclassify_imp BOOST_NO_MACRO_EXPAND(T x, ieee_copy_all_bits_tag)
+{
+ typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+ BOOST_MATH_INSTRUMENT_VARIABLE(a);
+ a &= traits::exponent | traits::flag | traits::significand;
+ BOOST_MATH_INSTRUMENT_VARIABLE((traits::exponent | traits::flag | traits::significand));
+ BOOST_MATH_INSTRUMENT_VARIABLE(a);
+
+ if(a <= traits::significand) {
+ if(a == 0)
+ return FP_ZERO;
+ else
+ return FP_SUBNORMAL;
+ }
+
+ if(a < traits::exponent) return FP_NORMAL;
+
+ a &= traits::significand;
+ if(a == 0) return FP_INFINITE;
+
+ return FP_NAN;
+}
+
+template<class T>
+int fpclassify_imp BOOST_NO_MACRO_EXPAND(T x, ieee_copy_leading_bits_tag)
+{
+ typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+ a &= traits::exponent | traits::flag | traits::significand;
+
+ if(a <= traits::significand) {
+ if(x == 0)
+ return FP_ZERO;
+ else
+ return FP_SUBNORMAL;
+ }
+
+ if(a < traits::exponent) return FP_NORMAL;
+
+ a &= traits::significand;
+ traits::set_bits(x,a);
+ if(x == 0) return FP_INFINITE;
+
+ return FP_NAN;
+}
+
+#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
+template <>
+inline int fpclassify_imp<long double> BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
+{
+ return boost::math::detail::fpclassify_imp(t, generic_tag<true>());
+}
+#endif
+
} // namespace detail
template <class T>
inline int fpclassify BOOST_NO_MACRO_EXPAND(T t)
{
+ typedef typename detail::fp_traits<T>::type traits;
+ typedef typename traits::method method;
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
- if(std::numeric_limits<T>::is_specialized)
- return detail::fpclassify_imp(t, mpl::true_());
- return detail::fpclassify_imp(t, mpl::false_());
+ if(std::numeric_limits<T>::is_specialized && detail::is_generic_tag_false(method()))
+ return detail::fpclassify_imp(t, detail::generic_tag<true>());
+ return detail::fpclassify_imp(t, method());
#else
- return detail::fpclassify_imp(t, mpl::bool_< ::std::numeric_limits<T>::is_specialized>());
+ return detail::fpclassify_imp(t, method());
#endif
}
-#if defined(BOOST_HAS_FPCLASSIFY)
-inline int fpclassify BOOST_NO_MACRO_EXPAND(float t)
+namespace detail {
+
+#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
+ template<class T>
+ inline bool isfinite_impl(T x, native_tag const&)
+ {
+ return (std::isfinite)(x);
+ }
+#endif
+
+ template<class T>
+ inline bool isfinite_impl(T x, generic_tag<true> const&)
+ {
+ return x >= -std::numeric_limits<T>::max()
+ && x <= std::numeric_limits<T>::max();
+ }
+
+ template<class T>
+ inline bool isfinite_impl(T x, generic_tag<false> const&)
+ {
+#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ if(std::numeric_limits<T>::is_specialized)
+ return isfinite_impl(x, mpl::true_());
+#endif
+ (void)x; // warning supression.
+ return true;
+ }
+
+ template<class T>
+ inline bool isfinite_impl(T x, ieee_tag const&)
+ {
+ typedef BOOST_DEDUCED_TYPENAME detail::fp_traits<T>::type traits;
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+ a &= traits::exponent;
+ return a != traits::exponent;
+ }
+
+#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
+template <>
+inline bool isfinite_impl<long double> BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
{
- return BOOST_FPCLASSIFY_PREFIX fpclassify(t);
+ return boost::math::detail::isfinite_impl(t, generic_tag<true>());
}
-inline int fpclassify BOOST_NO_MACRO_EXPAND(double t)
-{
- return BOOST_FPCLASSIFY_PREFIX fpclassify(t);
+#endif
+
}
-#if !defined(__CYGWIN__) && !defined(__HP_aCC) && !defined(BOOST_INTEL) && !defined(BOOST_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
-// The native fpclassify broken for long doubles with aCC
-// use portable one instead....
-inline int fpclassify BOOST_NO_MACRO_EXPAND(long double t)
+
+template<class T>
+inline bool (isfinite)(T x)
{
- return BOOST_FPCLASSIFY_PREFIX fpclassify(t);
+ typedef typename detail::fp_traits<T>::type traits;
+ typedef typename traits::method method;
+ typedef typename boost::is_floating_point<T>::type fp_tag;
+ return detail::isfinite_impl(x, method());
}
+
+//------------------------------------------------------------------------------
+
+namespace detail {
+
+#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
+ template<class T>
+ inline bool isnormal_impl(T x, native_tag const&)
+ {
+ return (std::isnormal)(x);
+ }
#endif
-#elif defined(_MSC_VER)
-// This only works for type double, for both float
-// and long double it gives misleading answers.
-inline int fpclassify BOOST_NO_MACRO_EXPAND(double t)
+ template<class T>
+ inline bool isnormal_impl(T x, generic_tag<true> const&)
+ {
+ if(x < 0) x = -x;
+ return x >= std::numeric_limits<T>::min()
+ && x <= std::numeric_limits<T>::max();
+ }
+
+ template<class T>
+ inline bool isnormal_impl(T x, generic_tag<false> const&)
+ {
+#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ if(std::numeric_limits<T>::is_specialized)
+ return isnormal_impl(x, mpl::true_());
+#endif
+ return !(x == 0);
+ }
+
+ template<class T>
+ inline bool isnormal_impl(T x, ieee_tag const&)
+ {
+ typedef BOOST_DEDUCED_TYPENAME detail::fp_traits<T>::type traits;
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+ a &= traits::exponent | traits::flag;
+ return (a != 0) && (a < traits::exponent);
+ }
+
+#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
+template <>
+inline bool isnormal_impl<long double> BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
{
- switch(::_fpclass(t))
- {
- case _FPCLASS_SNAN /* Signaling NaN */ :
- case _FPCLASS_QNAN /* Quiet NaN */ :
- return FP_NAN;
- case _FPCLASS_NINF /*Negative infinity ( -INF) */ :
- case _FPCLASS_PINF /* Positive infinity (+INF) */ :
- return FP_INFINITE;
- case _FPCLASS_NN /* Negative normalized non-zero */ :
- case _FPCLASS_PN /* Positive normalized non-zero */ :
- return FP_NORMAL;
- case _FPCLASS_ND /* Negative denormalized */:
- case _FPCLASS_PD /* Positive denormalized */ :
- return FP_SUBNORMAL;
- case _FPCLASS_NZ /* Negative zero ( - 0) */ :
- case _FPCLASS_PZ /* Positive 0 (+0) */ :
- return FP_ZERO;
- default:
- /**/ ;
- }
- return FP_NAN; // should never get here!!!
+ return boost::math::detail::isnormal_impl(t, generic_tag<true>());
}
#endif
-template <class T>
-inline bool isfinite BOOST_NO_MACRO_EXPAND(T z)
+}
+
+template<class T>
+inline bool (isnormal)(T x)
{
- int t = (::boost::math::fpclassify)(z);
- return (t != (int)FP_NAN) && (t != (int)FP_INFINITE);
+ typedef typename detail::fp_traits<T>::type traits;
+ typedef typename traits::method method;
+ typedef typename boost::is_floating_point<T>::type fp_tag;
+ return detail::isnormal_impl(x, method());
}
-template <class T>
-inline bool isinf BOOST_NO_MACRO_EXPAND(T t)
+//------------------------------------------------------------------------------
+
+namespace detail {
+
+#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
+ template<class T>
+ inline bool isinf_impl(T x, native_tag const&)
+ {
+ return (std::isinf)(x);
+ }
+#endif
+
+ template<class T>
+ inline bool isinf_impl(T x, generic_tag<true> const&)
+ {
+ return std::numeric_limits<T>::has_infinity
+ && ( x == std::numeric_limits<T>::infinity()
+ || x == -std::numeric_limits<T>::infinity());
+ }
+
+ template<class T>
+ inline bool isinf_impl(T x, generic_tag<false> const&)
+ {
+#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ if(std::numeric_limits<T>::is_specialized)
+ return isinf_impl(x, mpl::true_());
+#endif
+ (void)x; // warning supression.
+ return false;
+ }
+
+ template<class T>
+ inline bool isinf_impl(T x, ieee_copy_all_bits_tag const&)
+ {
+ typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
+
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+ a &= traits::exponent | traits::significand;
+ return a == traits::exponent;
+ }
+
+ template<class T>
+ inline bool isinf_impl(T x, ieee_copy_leading_bits_tag const&)
+ {
+ typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
+
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+ a &= traits::exponent | traits::significand;
+ if(a != traits::exponent)
+ return false;
+
+ traits::set_bits(x,0);
+ return x == 0;
+ }
+
+#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
+template <>
+inline bool isinf_impl<long double> BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
{
- return (::boost::math::fpclassify)(t) == (int)FP_INFINITE;
+ return boost::math::detail::isinf_impl(t, generic_tag<true>());
}
+#endif
-template <class T>
-inline bool isnan BOOST_NO_MACRO_EXPAND(T t)
+} // namespace detail
+
+template<class T>
+inline bool (isinf)(T x)
{
- return (::boost::math::fpclassify)(t) == (int)FP_NAN;
+ typedef typename detail::fp_traits<T>::type traits;
+ typedef typename traits::method method;
+ typedef typename boost::is_floating_point<T>::type fp_tag;
+ return detail::isinf_impl(x, method());
+}
+
+//------------------------------------------------------------------------------
+
+namespace detail {
+
+#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
+ template<class T>
+ inline bool isnan_impl(T x, native_tag const&)
+ {
+ return (std::isnan)(x);
+ }
+#endif
+
+ template<class T>
+ inline bool isnan_impl(T x, generic_tag<true> const&)
+ {
+ return std::numeric_limits<T>::has_infinity
+ ? !(x <= std::numeric_limits<T>::infinity())
+ : x != x;
+ }
+
+ template<class T>
+ inline bool isnan_impl(T x, generic_tag<false> const&)
+ {
+#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ if(std::numeric_limits<T>::is_specialized)
+ return isnan_impl(x, mpl::true_());
+#endif
+ (void)x; // warning supression
+ return false;
+ }
+
+ template<class T>
+ inline bool isnan_impl(T x, ieee_copy_all_bits_tag const&)
+ {
+ typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
+
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+ a &= traits::exponent | traits::significand;
+ return a > traits::exponent;
+ }
+
+ template<class T>
+ inline bool isnan_impl(T x, ieee_copy_leading_bits_tag const&)
+ {
+ typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
+
+ BOOST_DEDUCED_TYPENAME traits::bits a;
+ traits::get_bits(x,a);
+
+ a &= traits::exponent | traits::significand;
+ if(a < traits::exponent)
+ return false;
+
+ a &= traits::significand;
+ traits::set_bits(x,a);
+ return x != 0;
+ }
+
+} // namespace detail
+
+template<class T> bool (isnan)(T x)
+{
+ typedef typename detail::fp_traits<T>::type traits;
+ typedef typename traits::method method;
+ typedef typename boost::is_floating_point<T>::type fp_tag;
+ return detail::isnan_impl(x, method());
}
+
#ifdef isnan
template <> inline bool isnan BOOST_NO_MACRO_EXPAND<float>(float t){ return ::boost::math_detail::is_nan_helper(t, boost::true_type()); }
template <> inline bool isnan BOOST_NO_MACRO_EXPAND<double>(double t){ return ::boost::math_detail::is_nan_helper(t, boost::true_type()); }
template <> inline bool isnan BOOST_NO_MACRO_EXPAND<long double>(long double t){ return ::boost::math_detail::is_nan_helper(t, boost::true_type()); }
-#elif defined(BOOST_MSVC)
-# pragma warning(push)
-# pragma warning(disable: 4800) // forcing value to bool 'true' or 'false'
-# pragma warning(disable: 4244) // conversion from 'long double' to 'double',
-// No possible loss of data because they are same size.
-template <> inline bool isnan BOOST_NO_MACRO_EXPAND<float>(float t){ return _isnan(t); }
-template <> inline bool isnan BOOST_NO_MACRO_EXPAND<double>(double t){ return _isnan(t); }
-template <> inline bool isnan BOOST_NO_MACRO_EXPAND<long double>(long double t){ return _isnan(t); }
-#pragma warning (pop)
#endif
-template <class T>
-inline bool isnormal BOOST_NO_MACRO_EXPAND(T t)
-{
- return (::boost::math::fpclassify)(t) == (int)FP_NORMAL;
-}
-
} // namespace math
} // namespace boost
#endif // BOOST_MATH_FPCLASSIFY_HPP
-
-
-
-
Modified: branches/release/boost/math/special_functions/lanczos.hpp
==============================================================================
--- branches/release/boost/math/special_functions/lanczos.hpp (original)
+++ branches/release/boost/math/special_functions/lanczos.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -431,28 +431,28 @@
static_cast<T>(2.50662827463100050241576528481104525333L)
};
static const BOOST_MATH_INT_TABLE_TYPE(T, boost::uint64_t) denom[22] = {
- (0uLL),
- (2432902008176640000uLL),
- (8752948036761600000uLL),
- (13803759753640704000uLL),
- (12870931245150988800uLL),
- (8037811822645051776uLL),
- (3599979517947607200uLL),
- (1206647803780373360uLL),
- (311333643161390640uLL),
- (63030812099294896uLL),
- (10142299865511450uLL),
- (1307535010540395uLL),
- (135585182899530uLL),
- (11310276995381uLL),
- (756111184500uLL),
- (40171771630uLL),
- (1672280820uLL),
- (53327946uLL),
- (1256850uLL),
- (20615uLL),
- (210uLL),
- (1uLL)
+ BOOST_MATH_INT_VALUE_SUFFIX(0, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(2432902008176640000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(8752948036761600000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(13803759753640704000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(12870931245150988800, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(8037811822645051776, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(3599979517947607200, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1206647803780373360, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(311333643161390640, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(63030812099294896, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(10142299865511450, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1307535010540395, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(135585182899530, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(11310276995381, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(756111184500, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(40171771630, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1672280820, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(53327946, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1256850, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(20615, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(210, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1, uLL)
};
return boost::math::tools::evaluate_rational(num, denom, z);
}
@@ -485,28 +485,28 @@
static_cast<T>(0.3765495513732730583386223384116545391759e-9L)
};
static const BOOST_MATH_INT_TABLE_TYPE(T, boost::uint64_t) denom[22] = {
- (0uLL),
- (2432902008176640000uLL),
- (8752948036761600000uLL),
- (13803759753640704000uLL),
- (12870931245150988800uLL),
- (8037811822645051776uLL),
- (3599979517947607200uLL),
- (1206647803780373360uLL),
- (311333643161390640uLL),
- (63030812099294896uLL),
- (10142299865511450uLL),
- (1307535010540395uLL),
- (135585182899530uLL),
- (11310276995381uLL),
- (756111184500uLL),
- (40171771630uLL),
- (1672280820uLL),
- (53327946uLL),
- (1256850uLL),
- (20615uLL),
- (210uLL),
- (1uLL)
+ BOOST_MATH_INT_VALUE_SUFFIX(0, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(2432902008176640000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(8752948036761600000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(13803759753640704000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(12870931245150988800, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(8037811822645051776, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(3599979517947607200, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1206647803780373360, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(311333643161390640, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(63030812099294896, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(10142299865511450, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1307535010540395, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(135585182899530, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(11310276995381, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(756111184500, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(40171771630, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1672280820, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(53327946, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1256850, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(20615, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(210, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1, uLL)
};
return boost::math::tools::evaluate_rational(num, denom, z);
}
@@ -849,23 +849,23 @@
static_cast<T>(2.50662827463100050241576877135758834683L)
};
static const BOOST_MATH_INT_TABLE_TYPE(T, boost::uint64_t) denom[17] = {
- (0uLL),
- (1307674368000uLL),
- (4339163001600uLL),
- (6165817614720uLL),
- (5056995703824uLL),
- (2706813345600uLL),
- (1009672107080uLL),
- (272803210680uLL),
- (54631129553uLL),
- (8207628000uLL),
- (928095740uLL),
- (78558480uLL),
- (4899622uLL),
- (218400uLL),
- (6580uLL),
- (120uLL),
- (1uLL)
+ BOOST_MATH_INT_VALUE_SUFFIX(0, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1307674368000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(4339163001600, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(6165817614720, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(5056995703824, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(2706813345600, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1009672107080, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(272803210680, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(54631129553, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(8207628000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(928095740, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(78558480, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(4899622, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(218400, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(6580, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(120, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1, uLL)
};
return boost::math::tools::evaluate_rational(num, denom, z);
}
@@ -893,23 +893,23 @@
static_cast<T>(0.1229541408909435212800785616808830746135e-4L)
};
static const BOOST_MATH_INT_TABLE_TYPE(T, boost::uint64_t) denom[17] = {
- (0uLL),
- (1307674368000uLL),
- (4339163001600uLL),
- (6165817614720uLL),
- (5056995703824uLL),
- (2706813345600uLL),
- (1009672107080uLL),
- (272803210680uLL),
- (54631129553uLL),
- (8207628000uLL),
- (928095740uLL),
- (78558480uLL),
- (4899622uLL),
- (218400uLL),
- (6580uLL),
- (120uLL),
- (1uLL)
+ BOOST_MATH_INT_VALUE_SUFFIX(0, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1307674368000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(4339163001600, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(6165817614720, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(5056995703824, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(2706813345600, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1009672107080, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(272803210680, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(54631129553, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(8207628000, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(928095740, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(78558480, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(4899622, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(218400, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(6580, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(120, uLL),
+ BOOST_MATH_INT_VALUE_SUFFIX(1, uLL)
};
return boost::math::tools::evaluate_rational(num, denom, z);
}
Modified: branches/release/boost/math/special_functions/log1p.hpp
==============================================================================
--- branches/release/boost/math/special_functions/log1p.hpp (original)
+++ branches/release/boost/math/special_functions/log1p.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -316,9 +316,7 @@
#endif
#if defined(BOOST_HAS_LOG1P) && !(defined(__osf__) && defined(__DECCXX_VER))
-# if (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901)) \
- || ((defined(linux) || defined(__linux) || defined(__linux__)) && !defined(__SUNPRO_CC)) \
- || (defined(__hpux) && !defined(__hppa))
+# ifdef BOOST_MATH_USE_C99
template <class Policy>
inline float log1p(float x, const Policy& pol)
{
Modified: branches/release/boost/math/special_functions/sinc.hpp
==============================================================================
--- branches/release/boost/math/special_functions/sinc.hpp (original)
+++ branches/release/boost/math/special_functions/sinc.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -117,7 +117,7 @@
{
#if defined(BOOST_FUNCTION_SCOPE_USING_DECLARATION_BREAKS_ADL) || defined(__GNUC__)
using namespace std;
-#elif defined(BOOST_NO_STDC_NAMESPACE)
+#elif defined(BOOST_NO_STDC_NAMESPACE) && !defined(__SUNPRO_CC)
using ::abs;
using ::sin;
using ::sqrt;
Modified: branches/release/boost/math/special_functions/sinhc.hpp
==============================================================================
--- branches/release/boost/math/special_functions/sinhc.hpp (original)
+++ branches/release/boost/math/special_functions/sinhc.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -23,7 +23,6 @@
#include <string>
#include <stdexcept>
-
#include <boost/config.hpp>
@@ -114,7 +113,7 @@
{
#if defined(BOOST_FUNCTION_SCOPE_USING_DECLARATION_BREAKS_ADL) || defined(__GNUC__)
using namespace std;
-#elif defined(BOOST_NO_STDC_NAMESPACE)
+#elif defined(BOOST_NO_STDC_NAMESPACE) && !defined(__SUNPRO_CC)
using ::abs;
using ::sinh;
using ::sqrt;
Modified: branches/release/boost/math/tools/config.hpp
==============================================================================
--- branches/release/boost/math/tools/config.hpp (original)
+++ branches/release/boost/math/tools/config.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -70,6 +70,24 @@
# define BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS
#endif
+#if (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901))
+# define BOOST_MATH_USE_C99
+#endif
+
+#if (defined(__hpux) && !defined(__hppa))
+# define BOOST_MATH_USE_C99
+#endif
+
+#if defined(__GNUC__) && defined(_GLIBCXX_USE_C99)
+# define BOOST_MATH_USE_C99
+#endif
+
+#if defined(__CYGWIN__) || defined(__HP_aCC) || defined(BOOST_INTEL) \
+ || defined(BOOST_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY) \
+ || (defined(__GNUC__) && !defined(BOOST_MATH_USE_C99))
+# define BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY
+#endif
+
#if defined(BOOST_NO_EXPLICIT_FUNCTION_TEMPLATE_ARGUMENTS) || BOOST_WORKAROUND(__SUNPRO_CC, <= 0x590)
# include "boost/type.hpp"
@@ -135,6 +153,12 @@
# define BOOST_MATH_POLY_METHOD 3
# define BOOST_MATH_RATIONAL_METHOD 3
# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT
+# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L
+#endif
+
+#if defined(BOOST_NO_LONG_LONG) && !defined(BOOST_MATH_INT_TABLE_TYPE)
+# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT
+# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L
#endif
//
@@ -159,6 +183,10 @@
#ifndef BOOST_MATH_INT_TABLE_TYPE
# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) IT
#endif
+#ifndef BOOST_MATH_INT_VALUE_SUFFIX
+# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##SUF
+#endif
+
//
// Helper macro for controlling the FP behaviour:
//
@@ -219,7 +247,7 @@
} // namespace tools
}} // namespace boost namespace math
-#ifdef __linux__
+#if defined(__linux__) || defined(__QNX__) || defined(__IBMCPP__)
#include <fenv.h>
Modified: branches/release/boost/math/tools/roots.hpp
==============================================================================
--- branches/release/boost/math/tools/roots.hpp (original)
+++ branches/release/boost/math/tools/roots.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -297,6 +297,11 @@
delta2 = delta1;
delta1 = delta;
std::tr1::tie(f0, f1, f2) = f(result);
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(f0);
+ BOOST_MATH_INSTRUMENT_VARIABLE(f1);
+ BOOST_MATH_INSTRUMENT_VARIABLE(f2);
+
if(0 == f0)
break;
if((f1 == 0) && (f2 == 0))
@@ -313,6 +318,10 @@
{
T denom = 2 * f0;
T num = 2 * f1 - f0 * (f2 / f1);
+
+ BOOST_MATH_INSTRUMENT_VARIABLE(denom);
+ BOOST_MATH_INSTRUMENT_VARIABLE(num);
+
if((fabs(num) < 1) && (fabs(denom) >= fabs(num) * tools::max_value<T>()))
{
// possible overflow, use Newton step:
@@ -340,9 +349,11 @@
// reset delta2 so that this branch will *not* be taken on the
// next iteration:
delta2 = delta * 3;
+ BOOST_MATH_INSTRUMENT_VARIABLE(delta);
}
guess = result;
result -= delta;
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
// check for out of bounds step:
if(result < min)
@@ -398,13 +409,6 @@
#ifdef BOOST_MATH_INSTRUMENT
std::cout << "Halley iteration, final count = " << max_iter << std::endl;
-
- static boost::uintmax_t max_count = 0;
- if(max_iter > max_count)
- {
- max_count = max_iter;
- std::cout << "Maximum iterations: " << max_iter << std::endl;
- }
#endif
return result;
Modified: branches/release/boost/math/tr1.hpp
==============================================================================
--- branches/release/boost/math/tr1.hpp (original)
+++ branches/release/boost/math/tr1.hpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -171,15 +171,16 @@
double BOOST_MATH_TR1_DECL lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
float BOOST_MATH_TR1_DECL lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long double BOOST_MATH_TR1_DECL lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
+#ifdef BOOST_HAS_LONG_LONG
#if 0
-long long BOOST_MATH_TR1_DECL llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
-long long BOOST_MATH_TR1_DECL llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
-long long BOOST_MATH_TR1_DECL llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
-#endif
-long long BOOST_MATH_TR1_DECL llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
-long long BOOST_MATH_TR1_DECL llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
-long long BOOST_MATH_TR1_DECL llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
-
+::boost::long_long_type BOOST_MATH_TR1_DECL llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
+::boost::long_long_type BOOST_MATH_TR1_DECL llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
+::boost::long_long_type BOOST_MATH_TR1_DECL llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
+#endif
+::boost::long_long_type BOOST_MATH_TR1_DECL llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
+::boost::long_long_type BOOST_MATH_TR1_DECL llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
+::boost::long_long_type BOOST_MATH_TR1_DECL llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
+#endif
double BOOST_MATH_TR1_DECL boost_log1p BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
float BOOST_MATH_TR1_DECL boost_log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long double BOOST_MATH_TR1_DECL boost_log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
@@ -487,19 +488,20 @@
template <class T>
inline typename tools::promote_args<T>::type lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
+#ifdef BOOST_HAS_LONG_LONG
#if 0
-long long llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
-long long llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
-long long llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
+::boost::long_long_type llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
+::boost::long_long_type llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
+::boost::long_long_type llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
#endif
-inline long long llround BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
-inline long long llround BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
-inline long long llround BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
+inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return llround BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); }
-
+#endif
inline float log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double log1p BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
Modified: branches/release/libs/math/build/Jamfile.v2
==============================================================================
--- branches/release/libs/math/build/Jamfile.v2 (original)
+++ branches/release/libs/math/build/Jamfile.v2 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -51,7 +51,12 @@
sph_neumann
;
-compile has_long_double_support.cpp ;
+if --disable-long-double in [ modules.peek : ARGV ]
+{
+ long-double-opts = <build>no ;
+}
+
+compile has_long_double_support.cpp : $(long-double-opts) ;
lib boost_math_tr1 : ../src/tr1/$(TR1_SOURCES).cpp
:
@@ -67,6 +72,7 @@
:
<link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
<dependency>has_long_double_support
+ $(long-double-opts)
;
lib boost_math_c99 : ../src/tr1/$(C99_SOURCES).cpp
@@ -83,8 +89,11 @@
:
<link>shared:<define>BOOST_MATH_TR1_DYN_LINK=1
<dependency>has_long_double_support
+ $(long-double-opts)
;
boost-install boost_math_c99 boost_math_c99f boost_math_c99l boost_math_tr1 boost_math_tr1f boost_math_tr1l ;
+
+
Modified: branches/release/libs/math/doc/sf_and_dist/credits.qbk
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/credits.qbk (original)
+++ branches/release/libs/math/doc/sf_and_dist/credits.qbk 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -22,6 +22,9 @@
Bruno Lalande submitted the "compile time power of a runtime base" code.
+Johan R'''å'''de wrote the optimised floating point classification
+code.
+
Professor Nico Temme for advice on the inverse incomplete beta function.
[@http://www.shoup.net Victor Shoup for NTL],
Modified: branches/release/libs/math/doc/sf_and_dist/distributions/gamma.qbk
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/distributions/gamma.qbk (original)
+++ branches/release/libs/math/doc/sf_and_dist/distributions/gamma.qbk 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -39,7 +39,7 @@
Instead if you want
a double precision gamma distribution you can use
-``boost::gamma_distribution<>``]
+``boost::math::gamma_distribution<>``]
For shape parameter /k/ and scale parameter [theta][space] it is defined by the
probability density function:
Modified: branches/release/libs/math/doc/sf_and_dist/html/index.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/index.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/index.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Math Toolkit</title>
<link rel="stylesheet" href="../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="index.html" title="Math Toolkit">
<link rel="next" href="math_toolkit/main_overview.html" title="Overview">
</head>
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
@@ -39,11 +39,14 @@
<div class="author"><h3 class="author">
<span class="firstname">Bruno</span> <span class="surname">Lalande</span>
</h3></div>
+<div class="author"><h3 class="author">
+<span class="firstname">Johan</span> <span class="surname">Råde</span>
+</h3></div>
</div></div>
<div><p class="copyright">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande</p></div>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde</p></div>
<div><div class="legalnotice">
-<a name="id445817"></a><p>
+<a name="id527114"></a><p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
@@ -448,7 +451,7 @@
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left"><p><small>Last revised: August 22, 2008 at 12:37:17 GMT</small></p></td>
+<td align="left"><p><small>Last revised: December 29, 2008 at 16:50:38 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Backgrounders</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="perf/perf_test_app.html" title="The Performance Test Application">
<link rel="next" href="backgrounders/implementation.html" title="Additional Implementation Notes">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.backgrounders"></a> Backgrounders
+<a name="math_toolkit.backgrounders"></a><a class="link" href="backgrounders.html" title="Backgrounders"> Backgrounders</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="backgrounders/implementation.html"> Additional
@@ -39,7 +39,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Additional Implementation Notes</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="../backgrounders.html" title="Backgrounders">
<link rel="next" href="relative_error.html" title="Relative Error">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.implementation"></a><a href="implementation.html" title="Additional Implementation Notes"> Additional
+<a name="math_toolkit.backgrounders.implementation"></a><a class="link" href="implementation.html" title="Additional Implementation Notes"> Additional
Implementation Notes</a>
</h3></div></div></div>
<p>
@@ -33,8 +33,8 @@
and reflect more the general implementation philosophy used.
</p>
<a name="math_toolkit.backgrounders.implementation.implemention_philosophy"></a><h5>
-<a name="id859817"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
+<a name="id887352"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
philosophy</a>
</h5>
<p>
@@ -85,8 +85,8 @@
These could still provide sufficient accuracy for some speed-critical applications.
</p>
<a name="math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values"></a><h5>
-<a name="id859928"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
+<a name="id887463"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
and Representation of Test Values</a>
</h5>
<p>
@@ -130,8 +130,8 @@
binary value).
</p>
<a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a><h5>
-<a name="id860159"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
+<a name="id887695"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
of Tests</a>
</h5>
<p>
@@ -156,8 +156,8 @@
first that the suffix L is present, and then that the tolerance is big enough.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_unsuitable_arguments"></a><h5>
-<a name="id860219"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
+<a name="id887755"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
Unsuitable Arguments</a>
</h5>
<p>
@@ -214,17 +214,17 @@
with <span class="emphasis"><em>ISO/IEC 9899:1999 Programming languages - C</em></span> and
with the <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2005/n1836.pdf" target="_top">Draft
Technical Report on C++ Library Extensions, 2005-06-24, section 5.2.1, paragraph
- 5</a>. <a href="../main_overview/error_handling.html" title="Error Handling">See
+ 5</a>. <a class="link" href="../main_overview/error_handling.html" title="Error Handling">See
also domain_error</a>.
</p>
<p>
- See policy reference for
+ See <a class="link" href="../policy/pol_ref.html" title="Policy Reference">policy reference</a> for
details of the error handling policies that should allow a user to comply
with any of these recommendations, as well as other behaviour.
</p>
<p>
- See error handling
- for a detailed explanation of the mechanism, and <a href="../dist/stat_tut/weg/error_eg.html" title="Error Handling Example">error_handling
+ See <a class="link" href="../main_overview/error_handling.html" title="Error Handling">error handling</a>
+ for a detailed explanation of the mechanism, and <a class="link" href="../dist/stat_tut/weg/error_eg.html" title="Error Handling Example">error_handling
example</a> and error_handling_example.cpp
</p>
<div class="caution"><table border="0" summary="Caution">
@@ -242,13 +242,13 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined"></a><h5>
-<a name="id860444"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
+<a name="id887972"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
of Functions that are Not Mathematically defined</a>
</h5>
<p>
Functions that are not mathematically defined, like the Cauchy mean, fail
- to compile by default. <a href="../policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">A
+ to compile by default. <a class="link" href="../policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">A
policy</a> allows control of this.
</p>
<p>
@@ -276,8 +276,8 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.median_of_distributions"></a><h5>
-<a name="id860585"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
+<a name="id888113"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
of distributions</a>
</h5>
<p>
@@ -309,15 +309,15 @@
Basic Statistics.</a> give more detail, in particular for discrete distributions.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity"></a><h5>
-<a name="id860729"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
+<a name="id888257"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
of Floating-Point Infinity</a>
</h5>
<p>
Some functions and distributions are well defined with + or - infinity as
argument(s), but after some experiments with handling infinite arguments
as special cases, we concluded that it was generally more useful to forbid
- this, and instead to return the result of domain_error.
+ this, and instead to return the result of <a class="link" href="../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
Handling infinity as special cases is additionally complicated because, unlike
@@ -343,18 +343,18 @@
be simpler than trying to handle the aftermath of the error policy.
</p>
<p>
- Overflow, underflow, denorm can be handled using <a href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">error
+ Overflow, underflow, denorm can be handled using <a class="link" href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">error
handling policies</a>.
</p>
<p>
We have also tried to catch boundary cases where the mathematical specification
would result in divide by zero or overflow and signalling these similarly.
- What happens at (and near), poles can be controlled through <a href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">error
+ What happens at (and near), poles can be controlled through <a class="link" href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">error
handling policies</a>.
</p>
<a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a><h5>
-<a name="id860887"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
+<a name="id888415"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
Shape and Location</a>
</h5>
<p>
@@ -380,8 +380,8 @@
functions, they can be added if required.
</p>
<a name="math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions"></a><h5>
-<a name="id861353"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
+<a name="id888878"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
on Implementation of Specific Functions & Distributions</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
@@ -392,14 +392,14 @@
0 and upper = 1 would be more suitable.
</li></ul></div>
<a name="math_toolkit.backgrounders.implementation.rational_approximations_used"></a><h5>
-<a name="id861393"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
+<a name="id888919"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
Approximations Used</a>
</h5>
<p>
Some of the special functions in this library are implemented via rational
approximations. These are either taken from the literature, or devised by
- John Maddock using <a href="../toolkit/internals2/minimax.html" title="Minimax Approximations and the Remez Algorithm">our
+ John Maddock using <a class="link" href="../toolkit/internals2/minimax.html" title="Minimax Approximations and the Remez Algorithm">our
Remez code</a>.
</p>
<p>
@@ -435,8 +435,8 @@
to the "true" minimax solution.
</p>
<a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a><h5>
-<a name="id861489"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
+<a name="id889015"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
of Mathematical Constants</a>
</h5>
<p>
@@ -496,8 +496,8 @@
</span><span class="keyword">double</span> <span class="identifier">p</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">constants</span><span class="special">::</span><span class="identifier">pi</span><span class="special">();</span> <span class="comment">// Context does not allow for disambiguation of overloaded function
</span></pre>
<a name="math_toolkit.backgrounders.implementation.thread_safety"></a><h5>
-<a name="id862030"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
+<a name="id889570"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
safety</a>
</h5>
<p>
@@ -521,8 +521,8 @@
the right thing here at some point.
</p>
<a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a><h5>
-<a name="id862102"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
+<a name="id889635"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
of Test Data</a>
</h5>
<p>
@@ -565,8 +565,8 @@
the underlying special function is known to be difficult to implement.
</p>
<a name="math_toolkit.backgrounders.implementation.creating_and_managing_the_equations"></a><h5>
-<a name="id862213"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
+<a name="id889746"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
and Managing the Equations</a>
</h5>
<p>
@@ -726,8 +726,8 @@
HTML: this needs further investigation.
</p>
<a name="math_toolkit.backgrounders.implementation.producing_graphs"></a><h5>
-<a name="id862613"></a>
- <a href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
+<a name="id890132"></a>
+ <a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
Graphs</a>
</h5>
<p>
@@ -744,7 +744,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>The Lanczos Approximation</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="relative_error.html" title="Relative Error">
<link rel="next" href="remez.html" title="The Remez Method">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.lanczos"></a> The Lanczos Approximation
+<a name="math_toolkit.backgrounders.lanczos"></a><a class="link" href="lanczos.html" title="The Lanczos Approximation"> The Lanczos Approximation</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.lanczos.motivation"></a><h5>
-<a name="id862971"></a>
- Motivation
+<a name="id890490"></a>
+ <a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
</h5>
<p>
<span class="emphasis"><em>Why base gamma and gamma-like functions on the Lanczos approximation?</em></span>
@@ -39,7 +39,7 @@
or </a> Mathworld)
appears to offer no clear advantage over more traditional methods such as
<a href="http://en.wikipedia.org/wiki/Stirling_approximation" target="_top">Stirling's
- approximation</a>. Pugh carried out an extensive
+ approximation</a>. <a class="link" href="lanczos.html#pugh">Pugh</a> carried out an extensive
comparison of the various methods available and discovered that they were
all very similar in terms of complexity and relative error. However, the
Lanczos approximation does have a couple of properties that make it worthy
@@ -91,15 +91,15 @@
Of course, computing large powers is itself a notoriously hard problem, but
even so, analytic combinations of Lanczos approximations can make the difference
between obtaining a valid result, or simply garbage. Refer to the implementation
- notes for the beta
- function for an example of this method in practice. The incomplete gamma_p gamma and
- beta functions
+ notes for the <a class="link" href="../special/sf_beta/beta_function.html" title="Beta">beta</a>
+ function for an example of this method in practice. The incomplete <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p gamma</a> and
+ <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">beta</a> functions
use similar analytic combinations of power terms, to combine gamma and beta
functions divided by large powers into single (simpler) expressions.
</p>
<a name="math_toolkit.backgrounders.lanczos.the_approximation"></a><h5>
-<a name="id863354"></a>
- <a href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The
+<a name="id890868"></a>
+ <a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The
Approximation</a>
</h5>
<p>
@@ -155,20 +155,20 @@
Some authors choose to define the sum from k=1 to N, and hence end up with
N+1 coefficients. This happens to confuse both the following discussion
and the code (since C++ deals with half open array ranges, rather than
- the closed range of the sum). This convention is consistent with Godfrey, but not Pugh,
+ the closed range of the sum). This convention is consistent with <a class="link" href="lanczos.html#godfrey">Godfrey</a>, but not <a class="link" href="lanczos.html#pugh">Pugh</a>,
so take care when referring to the literature in this field.
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.lanczos.computing_the_coefficients"></a><h5>
-<a name="id863617"></a>
- <a href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
+<a name="id891130"></a>
+ <a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
the Coefficients</a>
</h5>
<p>
The coefficients C0..CN-1 need to be computed from <span class="emphasis"><em>N</em></span>
and <span class="emphasis"><em>g</em></span> at high precision, and then stored as part of
the program. Calculation of the coefficients is performed via the method
- of Godfrey; let the constants be contained
+ of <a class="link" href="lanczos.html#godfrey">Godfrey</a>; let the constants be contained
in a column vector P, then:
</p>
<p>
@@ -204,8 +204,8 @@
multiplied by <span class="emphasis"><em>F</em></span> as the last step.
</p>
<a name="math_toolkit.backgrounders.lanczos.choosing_the_right_parameters"></a><h5>
-<a name="id863823"></a>
- <a href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
+<a name="id891336"></a>
+ <a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
the Right Parameters</a>
</h5>
<p>
@@ -217,7 +217,7 @@
terms, and to then suddenly converge with a "crunch".
</p>
<p>
- Pugh has determined the optimal value of <span class="emphasis"><em>g</em></span>
+ <a class="link" href="lanczos.html#pugh">Pugh</a> has determined the optimal value of <span class="emphasis"><em>g</em></span>
for <span class="emphasis"><em>N</em></span> in the range <span class="emphasis"><em>1 <= N <= 60</em></span>:
unfortunately in practice choosing these values leads to cancellation errors
in the Lanczos sum as the largest term in the (alternating) series is approximately
@@ -228,7 +228,7 @@
computing to float precision with double precision arithmetic.
</p>
<div class="table">
-<a name="id863906"></a><p class="title"><b>Table 53. Optimal choices for N and g when computing with
+<a name="id891419"></a><p class="title"><b>Table 53. Optimal choices for N and g when computing with
guard digits (source: Pugh)</b></p>
<div class="table-contents"><table class="table" summary="Optimal choices for N and g when computing with
guard digits (source: Pugh)">
@@ -309,11 +309,11 @@
</table></div>
</div>
<br class="table-break"><p>
- The alternative described by Godfrey is to
+ The alternative described by <a class="link" href="lanczos.html#godfrey">Godfrey</a> is to
perform an exhaustive search of the <span class="emphasis"><em>N</em></span> and <span class="emphasis"><em>g</em></span>
parameter space to determine the optimal combination for a given <span class="emphasis"><em>p</em></span>
digit floating-point type. Repeating this work found a good approximation
- for double precision arithmetic (close to the one Godfrey
+ for double precision arithmetic (close to the one <a class="link" href="lanczos.html#godfrey">Godfrey</a>
found), but failed to find really good approximations for 80 or 128-bit long
doubles. Further it was observed that the approximations obtained tended
to optimised for the small values of z (1 < z < 200) used to test the
@@ -322,7 +322,7 @@
truncation of the Lancozos series.
</p>
<p>
- Pugh identified all the locations where the theoretical
+ <a class="link" href="lanczos.html#pugh">Pugh</a> identified all the locations where the theoretical
error of the approximation were at a minimum, but unfortunately has published
only the largest of these minima. However, he makes the observation that
the minima coincide closely with the location where the first neglected term
@@ -350,8 +350,8 @@
"sweet spots" whose theoretical error is less than the machine
epsilon for the type being tested, yielded good approximations for all the
types tested. The optimal values found were quite close to the best cases
- reported by Pugh (just slightly larger <span class="emphasis"><em>N</em></span>
- and slightly smaller <span class="emphasis"><em>g</em></span> for a given precision than Pugh reports), and even though converting to rational
+ reported by <a class="link" href="lanczos.html#pugh">Pugh</a> (just slightly larger <span class="emphasis"><em>N</em></span>
+ and slightly smaller <span class="emphasis"><em>g</em></span> for a given precision than <a class="link" href="lanczos.html#pugh">Pugh</a> reports), and even though converting to rational
form doubles the number of stored coefficients, it should be noted that half
of them are integers (and therefore require less storage space) and the approximations
require a smaller <span class="emphasis"><em>N</em></span> than would otherwise be required,
@@ -371,7 +371,7 @@
exactly matches the machine epsilon for the type in question.
</p>
<div class="table">
-<a name="id864228"></a><p class="title"><b>Table 54. Optimum value for N and g when computing at fixed
+<a name="id891741"></a><p class="title"><b>Table 54. Optimum value for N and g when computing at fixed
precision</b></p>
<div class="table-contents"><table class="table" summary="Optimum value for N and g when computing at fixed
precision">
@@ -536,8 +536,8 @@
is exact, and so isn't used for the gamma function.
</p>
<a name="math_toolkit.backgrounders.lanczos.references"></a><h5>
-<a name="id864506"></a>
- References
+<a name="id892020"></a>
+ <a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.references">References</a>
</h5>
<a name="godfrey"></a><a name="pugh"></a><div class="orderedlist"><ol type="1">
<li>
@@ -562,7 +562,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>References</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="remez.html" title="The Remez Method">
<link rel="next" href="../status.html" title="Library Status">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.refs"></a> References
+<a name="math_toolkit.backgrounders.refs"></a><a class="link" href="refs.html" title="References"> References</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.refs.general_references"></a><h5>
-<a name="id865871"></a>
- <a href="refs.html#math_toolkit.backgrounders.refs.general_references">General
+<a name="id893418"></a>
+ <a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
references</a>
</h5>
<p>
@@ -91,8 +91,8 @@
Library (version 2), Walter E. Brown</a>
</p>
<a name="math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__"></a><h5>
-<a name="id866045"></a>
- <a href="refs.html#math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__">Calculators*
+<a name="id893592"></a>
+ <a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__">Calculators*
that we found (and used to cross-check - as far as their widely-varying accuracy
allowed).</a>
</h5>
@@ -101,8 +101,8 @@
Binomial Probability Distribution Calculator.
</p>
<a name="math_toolkit.backgrounders.refs.other_libraries"></a><h5>
-<a name="id866090"></a>
- Other Libraries
+<a name="id893637"></a>
+ <a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other Libraries</a>
</h5>
<p>
<a href="http://www.moshier.net/#Cephes" target="_top">Cephes library</a> by Shephen
@@ -162,7 +162,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Relative Error</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="implementation.html" title="Additional Implementation Notes">
<link rel="next" href="lanczos.html" title="The Lanczos Approximation">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.relative_error"></a><a href="relative_error.html" title="Relative Error"> Relative
+<a name="math_toolkit.backgrounders.relative_error"></a><a class="link" href="relative_error.html" title="Relative Error"> Relative
Error</a>
</h3></div></div></div>
<p>
@@ -81,8 +81,8 @@
<a name="zero_error"></a><p>
</p>
<a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a><h5>
-<a name="id862893"></a>
- <a href="relative_error.html#math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error">The
+<a name="id890412"></a>
+ <a class="link" href="relative_error.html#math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error">The
Impossibility of Zero Error</a>
</h5>
<p>
@@ -110,7 +110,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>The Remez Method</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="lanczos.html" title="The Lanczos Approximation">
<link rel="next" href="refs.html" title="References">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.remez"></a> The Remez Method
+<a name="math_toolkit.backgrounders.remez"></a><a class="link" href="remez.html" title="The Remez Method"> The Remez Method</a>
</h3></div></div></div>
<p>
The Remez algorithm
@@ -94,8 +94,8 @@
are located!</em></span>
</p>
<a name="math_toolkit.backgrounders.remez.the_remez_method"></a><h5>
-<a name="id864757"></a>
- <a href="remez.html#math_toolkit.backgrounders.remez.the_remez_method">The Remez
+<a name="id892271"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.the_remez_method">The Remez
Method</a>
</h5>
<p>
@@ -174,8 +174,8 @@
</td></tr>
</table></div>
<a name="math_toolkit.backgrounders.remez.remez_step_1"></a><h5>
-<a name="id864977"></a>
- <a href="remez.html#math_toolkit.backgrounders.remez.remez_step_1">Remez Step
+<a name="id892496"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_1">Remez Step
1</a>
</h5>
<p>
@@ -205,8 +205,8 @@
to 5.6x10<sup>-4</sup>.
</p>
<a name="math_toolkit.backgrounders.remez.remez_step_2"></a><h5>
-<a name="id865083"></a>
- <a href="remez.html#math_toolkit.backgrounders.remez.remez_step_2">Remez Step
+<a name="id892601"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_2">Remez Step
2</a>
</h5>
<p>
@@ -234,8 +234,8 @@
In our example we perform multi-point exchange.
</p>
<a name="math_toolkit.backgrounders.remez.iteration"></a><h5>
-<a name="id865143"></a>
- Iteration
+<a name="id892662"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.iteration">Iteration</a>
</h5>
<p>
The Remez method then performs steps 1 and 2 above iteratively until the
@@ -250,8 +250,8 @@
<span class="inlinemediaobject"><img src="../../../graphs/remez-4.png" alt="remez-4"></span>
</p>
<a name="math_toolkit.backgrounders.remez.rational_approximations"></a><h5>
-<a name="id865204"></a>
- <a href="remez.html#math_toolkit.backgrounders.remez.rational_approximations">Rational
+<a name="id892723"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.rational_approximations">Rational
Approximations</a>
</h5>
<p>
@@ -299,8 +299,8 @@
number of terms overall.
</p>
<a name="math_toolkit.backgrounders.remez.practical_considerations"></a><h5>
-<a name="id865328"></a>
- <a href="remez.html#math_toolkit.backgrounders.remez.practical_considerations">Practical
+<a name="id892846"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.practical_considerations">Practical
Considerations</a>
</h5>
<p>
@@ -347,7 +347,7 @@
<p>
The difficult part is obviously finding the right g(x) to extract from your
function: often the asymptotic behaviour of the function will give a clue,
- so for example the function erfc
+ so for example the function <a class="link" href="../special/sf_erf/error_function.html" title="Error Functions">erfc</a>
becomes proportional to e<sup>-x<sup>2</sup></sup>/x as x becomes large. Therefore using:
</p>
<p>
@@ -407,8 +407,8 @@
desired minimax solution (5x10<sup>-4</sup>).
</p>
<a name="math_toolkit.backgrounders.remez.remez_method_checklist"></a><h5>
-<a name="id865586"></a>
- <a href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez
+<a name="id893122"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez
Method Checklist</a>
</h5>
<p>
@@ -461,8 +461,8 @@
</li>
</ul></div>
<a name="math_toolkit.backgrounders.remez.references"></a><h5>
-<a name="id865690"></a>
- References
+<a name="id893237"></a>
+ <a class="link" href="remez.html#math_toolkit.backgrounders.remez.references">References</a>
</h5>
<p>
The original references for the Remez Method and it's extension to rational
@@ -528,7 +528,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Statistical Distributions and Functions</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="main_overview/contact.html" title="Contact Info and Support">
<link rel="next" href="dist/stat_tut.html" title="Statistical Distributions Tutorial">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.dist"></a> Statistical Distributions and Functions
+<a name="math_toolkit.dist"></a><a class="link" href="dist.html" title="Statistical Distributions and Functions"> Statistical Distributions and Functions</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="dist/stat_tut.html"> Statistical Distributions
@@ -178,7 +178,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Statistical Distributions Reference</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="prev" href="stat_tut/dist_params.html" title="Discrete Probability Distributions">
<link rel="next" href="dist_ref/nmp.html" title="Non-Member Properties">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.dist.dist_ref"></a><a href="dist_ref.html" title="Statistical Distributions Reference"> Statistical Distributions
+<a name="math_toolkit.dist.dist_ref"></a><a class="link" href="dist_ref.html" title="Statistical Distributions Reference"> Statistical Distributions
Reference</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -84,7 +84,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Distribution Algorithms</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="dists/uniform_dist.html" title="Uniform Distribution">
<link rel="next" href="../future.html" title="Extras/Future Directions">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.dist_ref.dist_algorithms"></a><a href="dist_algorithms.html" title="Distribution Algorithms"> Distribution
+<a name="math_toolkit.dist.dist_ref.dist_algorithms"></a><a class="link" href="dist_algorithms.html" title="Distribution Algorithms"> Distribution
Algorithms</a>
</h4></div></div></div>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions"></a><h5>
-<a name="id648850"></a>
- <a href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions">Finding
+<a name="id676368"></a>
+ <a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions">Finding
the Location and Scale for Normal and similar distributions</a>
</h5>
<p>
@@ -50,8 +50,8 @@
</span><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">complement</span><span class="special">;</span> <span class="comment">// Will be needed by users who want to use complements.
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_location_function"></a><h5>
-<a name="id649005"></a>
- <a href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_location_function">find_location
+<a name="id676522"></a>
+ <a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_location_function">find_location
function</a>
</h5>
<p>
@@ -62,13 +62,13 @@
</p>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Dist</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span> <span class="comment">// explicit error handling policy
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Dist</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span> <span class="comment">// explicit error handling policy
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">find_location</span><span class="special">(</span> <span class="comment">// For example, normal mean.
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">z</span><span class="special">,</span> <span class="comment">// location of random variable z to give probability, P(X > z) == p.
</span> <span class="comment">// For example, a nominal minimum acceptable z, so that p * 100 % are > z
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">p</span><span class="special">,</span> <span class="comment">// probability value desired at x, say 0.95 for 95% > z.
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">scale</span><span class="special">,</span> <span class="comment">// scale parameter, for example, normal standard deviation.
-</span> <span class="keyword">const</span> Policy<span class="special">&</span> <span class="identifier">pol</span><span class="special">);</span>
+</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&</span> <span class="identifier">pol</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Dist</span><span class="special">></span> <span class="comment">// with default policy.
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">find_location</span><span class="special">(</span> <span class="comment">// For example, normal mean.
@@ -80,8 +80,8 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function"></a><h5>
-<a name="id649626"></a>
- <a href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
+<a name="id677143"></a>
+ <a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
function</a>
</h5>
<p>
@@ -92,13 +92,13 @@
</p>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Dist</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Dist</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">find_scale</span><span class="special">(</span> <span class="comment">// For example, normal mean.
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">z</span><span class="special">,</span> <span class="comment">// location of random variable z to give probability, P(X > z) == p.
</span> <span class="comment">// For example, a nominal minimum acceptable weight z, so that p * 100 % are > z
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">p</span><span class="special">,</span> <span class="comment">// probability value desired at x, say 0.95 for 95% > z.
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">location</span><span class="special">,</span> <span class="comment">// location parameter, for example, normal distribution mean.
-</span> <span class="keyword">const</span> Policy<span class="special">&</span> <span class="identifier">pol</span><span class="special">);</span>
+</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&</span> <span class="identifier">pol</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Dist</span><span class="special">></span> <span class="comment">// with default policy.
</span> <span class="keyword">typename</span> <span class="identifier">Dist</span><span class="special">::</span><span class="identifier">value_type</span> <span class="identifier">find_scale</span><span class="special">(</span> <span class="comment">// For example, normal mean.
@@ -109,20 +109,20 @@
</span><span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- All argument must be finite, otherwise domain_error
+ All argument must be finite, otherwise <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
is called.
</p>
<p>
- Probability arguments must be [0, 1], otherwise domain_error
+ Probability arguments must be [0, 1], otherwise <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
is called.
</p>
<p>
- If the choice of arguments would give a negative scale, domain_error
+ If the choice of arguments would give a negative scale, <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
is called, unless the policy is to ignore, when the negative (impossible)
value of scale is returned.
</p>
<p>
- <a href="../stat_tut/weg/find_eg.html" title="Find Location and Scale Examples">Find Mean and standard
+ <a class="link" href="../stat_tut/weg/find_eg.html" title="Find Location and Scale Examples">Find Mean and standard
deviation examples</a> gives simple examples of use of both find_scale
and find_location, and a longer example finding means and standard deviations
of normally distributed weights to meet a specification.
@@ -131,7 +131,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Distributions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="nmp.html" title="Non-Member Properties">
<link rel="next" href="dists/bernoulli_dist.html" title="Bernoulli Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.dist_ref.dists"></a> Distributions
+<a name="math_toolkit.dist.dist_ref.dists"></a><a class="link" href="dists.html" title="Distributions"> Distributions</a>
</h4></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="dists/bernoulli_dist.html">
@@ -77,7 +77,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Bernoulli Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="../dists.html" title="Distributions">
<link rel="next" href="beta_dist.html" title="Beta Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist"></a><a href="bernoulli_dist.html" title="Bernoulli Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist"></a><a class="link" href="bernoulli_dist.html" title="Bernoulli Distribution">
Bernoulli Distribution</a>
</h5></div></div></div>
<p>
@@ -35,12 +35,12 @@
</p>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">bernoulli_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">bernoulli_distribution</span><span class="special"><></span> <span class="identifier">bernoulli</span><span class="special">;</span>
- <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+ <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">bernoulli_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -87,8 +87,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/bernoulli_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions"></a><h5>
-<a name="id601407"></a>
- <a href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions">Member
+<a name="id628878"></a>
+ <a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">bernoulli_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -103,21 +103,21 @@
Returns the <span class="emphasis"><em>success_fraction</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors"></a><h5>
-<a name="id601522"></a>
- <a href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors">Non-member
+<a name="id628994"></a>
+ <a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is 0 and 1, and the useful supported
@@ -128,16 +128,16 @@
exception and make an error message available.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy"></a><h5>
-<a name="id601697"></a>
- Accuracy
+<a name="id629170"></a>
+ <a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy">Accuracy</a>
</h5>
<p>
The Bernoulli distribution is implemented with simple arithmetic operators
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation"></a><h5>
-<a name="id601728"></a>
- Implementation
+<a name="id629201"></a>
+ <a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>p</em></span> is the probability of success
@@ -327,8 +327,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.references"></a><h5>
-<a name="id602099"></a>
- References
+<a name="id629572"></a>
+ <a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="http://en.wikipedia.org/wiki/Bernoulli_distribution" target="_top">Wikpedia
@@ -340,7 +340,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Beta Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="bernoulli_dist.html" title="Bernoulli Distribution">
<link rel="next" href="binomial_dist.html" title="Binomial Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.beta_dist"></a><a href="beta_dist.html" title="Beta Distribution"> Beta
+<a name="math_toolkit.dist.dist_ref.dists.beta_dist"></a><a class="link" href="beta_dist.html" title="Beta Distribution"> Beta
Distribution</a>
</h5></div></div></div>
<p>
@@ -36,14 +36,14 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">beta_distribution</span><span class="special">;</span>
<span class="comment">// typedef beta_distribution<double> beta;
</span><span class="comment">// Note that this is deliberately NOT provided,
</span><span class="comment">// to avoid a clash with the function name beta.
</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">beta_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -112,7 +112,7 @@
</p>
<p>
where B(α, β) is the <a href="http://en.wikipedia.org/wiki/Beta_function" target="_top">beta
- function</a>, implemented in this library as beta.
+ function</a>, implemented in this library as <a class="link" href="../../../special/sf_beta/beta_function.html" title="Beta">beta</a>.
Division by the beta function ensures that the pdf is normalized to the
range zero to unity.
</p>
@@ -133,13 +133,13 @@
from the centre (where x = half).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.member_functions"></a><h5>
-<a name="id603245"></a>
- <a href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.member_functions">Member
+<a name="id630720"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.constructor"></a><h6>
-<a name="id603271"></a>
- Constructor
+<a name="id630746"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.constructor">Constructor</a>
</h6>
<pre class="programlisting"><span class="identifier">beta_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">beta</span><span class="special">);</span>
</pre>
@@ -148,7 +148,7 @@
and <span class="emphasis"><em>beta</em></span>.
</p>
<p>
- Requires alpha,beta > 0,otherwise domain_error
+ Requires alpha,beta > 0,otherwise <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>
is called. Note that technically the beta distribution is defined for
alpha,beta >= 0, but it's not clear whether any program can actually
make use of that latitude or how many of the non-member functions can
@@ -165,8 +165,8 @@
yellow in the graph above).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors"></a><h6>
-<a name="id603452"></a>
- <a href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors">Parameter
+<a name="id630928"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors">Parameter
Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">alpha</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
@@ -189,8 +189,8 @@
</span><span class="identifier">assert</span><span class="special">(</span><span class="identifier">mybeta</span><span class="special">.</span><span class="identifier">beta</span><span class="special">()</span> <span class="special">==</span> <span class="number">5.</span><span class="special">);</span> <span class="comment">// mybeta.beta() returns 5
</span></pre>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators"></a><h5>
-<a name="id603727"></a>
- <a href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators">Parameter
+<a name="id631204"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators">Parameter
Estimators</a>
</h5>
<p>
@@ -242,21 +242,21 @@
Returns the value of β that gives: <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">beta_distribution</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">>(</span><span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">beta</span><span class="special">),</span> <span class="identifier">x</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">probability</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions"></a><h5>
-<a name="id604362"></a>
- <a href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions">Non-member
+<a name="id631838"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions">Non-member
Accessor Functions</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The formulae for calculating these are shown in the table below, and
@@ -264,8 +264,8 @@
Mathworld</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.applications"></a><h5>
-<a name="id604540"></a>
- Applications
+<a name="id632016"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.applications">Applications</a>
</h5>
<p>
The beta distribution can be used to model events constrained to take
@@ -277,8 +277,8 @@
statistical inference</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions"></a><h5>
-<a name="id604586"></a>
- <a href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions">Related
+<a name="id632062"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions">Related
distributions</a>
</h5>
<p>
@@ -299,24 +299,24 @@
distributed between 0 and 1. The cumulative probability from 0 to x is
thus the probability that the j-th highest value is less than x. Or it
is the probability that that at least i of the random variables are less
- than x, a probability given by summing over the <a href="binomial_dist.html" title="Binomial Distribution">Binomial
+ than x, a probability given by summing over the <a class="link" href="binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a> with its p parameter set to x.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.accuracy"></a><h5>
-<a name="id604674"></a>
- Accuracy
+<a name="id632151"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.accuracy">Accuracy</a>
</h5>
<p>
- This distribution is implemented using the <a href="../../../special/sf_beta/beta_function.html" title="Beta">beta
- functions</a> beta
- and <a href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">incomplete
- beta functions</a> ibeta
- and ibetac;
+ This distribution is implemented using the <a class="link" href="../../../special/sf_beta/beta_function.html" title="Beta">beta
+ functions</a> <a class="link" href="../../../special/sf_beta/beta_function.html" title="Beta">beta</a>
+ and <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">incomplete
+ beta functions</a> <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
+ and <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>;
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.implementation"></a><h5>
-<a name="id604754"></a>
- Implementation
+<a name="id632230"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>a</em></span> and <span class="emphasis"><em>b</em></span>
@@ -352,7 +352,7 @@
f(x;α,β) = x<sup>α - 1</sup> (1 - x)<sup>β -1</sup> / B(α, β)
</p>
<p>
- Implemented using ibeta_derivative(a,
+ Implemented using <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>(a,
b, x).
</p>
</td>
@@ -365,7 +365,7 @@
</td>
<td>
<p>
- Using the incomplete beta function ibeta(a,
+ Using the incomplete beta function <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>(a,
b, x)
</p>
</td>
@@ -378,7 +378,7 @@
</td>
<td>
<p>
- ibetac(a,
+ <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>(a,
b, x)
</p>
</td>
@@ -391,7 +391,7 @@
</td>
<td>
<p>
- Using the inverse incomplete beta function ibeta_inv(a,
+ Using the inverse incomplete beta function <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>(a,
b, p)
</p>
</td>
@@ -404,7 +404,7 @@
</td>
<td>
<p>
- ibetac_inv(a,
+ <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>(a,
b, q)
</p>
</td>
@@ -560,8 +560,8 @@
Implemented in terms of the inverse incomplete beta functions
</p>
<p>
- ibeta_inva,
- and ibeta_invb
+ <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inva</a>,
+ and <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_invb</a>
respectively.
</p>
</td>
@@ -597,8 +597,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.references"></a><h5>
-<a name="id606051"></a>
- References
+<a name="id633527"></a>
+ <a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.references">References</a>
</h5>
<p>
<a href="http://en.wikipedia.org/wiki/Beta_distribution" target="_top">Wikipedia
@@ -616,7 +616,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="beta_dist.html" title="Beta Distribution">
<link rel="next" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.binomial_dist"></a><a href="binomial_dist.html" title="Binomial Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.binomial_dist"></a><a class="link" href="binomial_dist.html" title="Binomial Distribution">
Binomial Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">binomial_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">binomial_distribution</span><span class="special"><></span> <span class="identifier">binomial</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">binomial_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -155,10 +155,10 @@
</p>
<p>
This behaviour can be changed so that the quantile functions are
- rounded differently, or even return a real-valued result using Policies. It is
- strongly recommended that you read the tutorial <a href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ rounded differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>. It is
+ strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
Quantiles of Discrete Distributions</a> before using the quantile
- function on the Binomial distribution. The <a href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ function on the Binomial distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
docs</a> describe how to change the rounding policy for these
distributions.
</p>
@@ -167,13 +167,13 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions"></a><h5>
-<a name="id607381"></a>
- <a href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions">Member
+<a name="id634857"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.construct"></a><h6>
-<a name="id607406"></a>
- Construct
+<a name="id634883"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
</pre>
@@ -186,11 +186,11 @@
<span class="identifier">p</span> <span class="special"><=</span>
<span class="number">1</span></code>, and <code class="computeroutput"><span class="identifier">n</span>
<span class="special">>=</span> <span class="number">0</span></code>,
- otherwise calls domain_error.
+ otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accessors"></a><h6>
-<a name="id607567"></a>
- Accessors
+<a name="id635044"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -205,8 +205,8 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction"></a><h6>
-<a name="id607683"></a>
- <a href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction">Lower
+<a name="id635159"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction">Lower
Bound on the Success Fraction</a>
</h6>
<pre class="programlisting"><span class="keyword">static</span> <span class="identifier">RealType</span> <span class="identifier">find_lower_bound_on_p</span><span class="special">(</span>
@@ -252,7 +252,7 @@
<span class="identifier">n</span><span class="special">,</span> <span class="identifier">k</span><span class="special">,</span> <span class="number">0.05</span><span class="special">);</span>
</pre>
<p>
- <a href="../../stat_tut/weg/binom_eg/binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">See
+ <a class="link" href="../../stat_tut/weg/binom_eg/binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">See
worked example.</a>
</p>
<p>
@@ -311,8 +311,8 @@
limits illustrated in the case of the binomial. Biometrika 26 404-413.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction"></a><h6>
-<a name="id608314"></a>
- <a href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction">Upper
+<a name="id635812"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction">Upper
Bound on the Success Fraction</a>
</h6>
<pre class="programlisting"><span class="keyword">static</span> <span class="identifier">RealType</span> <span class="identifier">find_upper_bound_on_p</span><span class="special">(</span>
@@ -359,7 +359,7 @@
<span class="identifier">n</span><span class="special">,</span> <span class="identifier">k</span><span class="special">,</span> <span class="number">0.05</span><span class="special">);</span>
</pre>
<p>
- <a href="../../stat_tut/weg/binom_eg/binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">See
+ <a class="link" href="../../stat_tut/weg/binom_eg/binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">See
worked example.</a>
</p>
<div class="note"><table border="0" summary="Note">
@@ -383,14 +383,14 @@
by passing α = 0.025 to each of the functions.
</p>
<p>
- <a href="../../stat_tut/weg/binom_eg/binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">See
+ <a class="link" href="../../stat_tut/weg/binom_eg/binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">See
worked example.</a>
</p>
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes"></a><h6>
-<a name="id608754"></a>
- <a href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes">Estimating
+<a name="id636252"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes">Estimating
the Number of Trials Required for a Certain Number of Successes</a>
</h6>
<pre class="programlisting"><span class="keyword">static</span> <span class="identifier">RealType</span> <span class="identifier">find_minimum_number_of_trials</span><span class="special">(</span>
@@ -431,8 +431,8 @@
of seeing 10 events that occur with frequency one half.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes"></a><h6>
-<a name="id609027"></a>
- <a href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes">Estimating
+<a name="id636526"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes">Estimating
the Maximum Number of Trials to Ensure no more than a Certain Number
of Successes</a>
</h6>
@@ -475,28 +475,28 @@
frequency. This is typically used in failure analysis.
</p>
<p>
- <a href="../../stat_tut/weg/binom_eg/binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">See
+ <a class="link" href="../../stat_tut/weg/binom_eg/binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">See
Worked Example.</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors"></a><h5>
-<a name="id609319"></a>
- <a href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors">Non-member
+<a name="id636818"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
- The domain for the random variable <span class="emphasis"><em>k</em></span> is <code class="computeroutput"><span class="number">0</span> <span class="special"><=</span> <span class="identifier">k</span> <span class="special"><=</span> <span class="identifier">N</span></code>, otherwise a domain_error
+ The domain for the random variable <span class="emphasis"><em>k</em></span> is <code class="computeroutput"><span class="number">0</span> <span class="special"><=</span> <span class="identifier">k</span> <span class="special"><=</span> <span class="identifier">N</span></code>, otherwise a <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>
is returned.
</p>
<p>
@@ -504,7 +504,7 @@
in the context of this distribution:
</p>
<div class="table">
-<a name="id609532"></a><p class="title"><b>Table 11. Meaning of the non-member accessors</b></p>
+<a name="id637031"></a><p class="title"><b>Table 11. Meaning of the non-member accessors</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors">
<colgroup>
<col>
@@ -526,7 +526,7 @@
<tr>
<td>
<p>
- Probability Density Function
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>
</p>
</td>
<td>
@@ -544,7 +544,7 @@
<tr>
<td>
<p>
- Cumulative Distribution Function
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>
</p>
</td>
<td>
@@ -563,7 +563,7 @@
<tr>
<td>
<p>
- <a href="../nmp.html#math.dist.ccdf">Complement of the Cumulative Distribution
+ <a class="link" href="../nmp.html#math.dist.ccdf">Complement of the Cumulative Distribution
Function</a>
</p>
</td>
@@ -583,7 +583,7 @@
<tr>
<td>
<p>
- Quantile
+ <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>
</p>
</td>
<td>
@@ -604,7 +604,7 @@
<tr>
<td>
<p>
- <a href="../nmp.html#math.dist.quantile_c">Quantile from the complement
+ <a class="link" href="../nmp.html#math.dist.quantile_c">Quantile from the complement
of the probability</a>
</p>
</td>
@@ -627,26 +627,26 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.binomial_dist.examples"></a><h5>
-<a name="id610092"></a>
- Examples
+<a name="id637597"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.examples">Examples</a>
</h5>
<p>
- Various <a href="../../stat_tut/weg/binom_eg.html" title="Binomial Distribution Examples">worked
+ Various <a class="link" href="../../stat_tut/weg/binom_eg.html" title="Binomial Distribution Examples">worked
examples</a> are available illustrating the use of the binomial distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy"></a><h5>
-<a name="id610132"></a>
- Accuracy
+<a name="id637637"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
This distribution is implemented using the incomplete beta functions
- ibeta
- and ibetac,
+ <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
+ and <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>,
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.implementation"></a><h5>
-<a name="id610182"></a>
- Implementation
+<a name="id637686"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>p</em></span> is the probability that
@@ -680,7 +680,7 @@
</td>
<td>
<p>
- Implementation is in terms of ibeta_derivative:
+ Implementation is in terms of <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>:
if <sub>n</sub>C<sub>k </sub> is the binomial coefficient of a and b, then we have:
</p>
<p>
@@ -691,7 +691,7 @@
<span class="special">(</span><span class="identifier">n</span><span class="special">+</span><span class="number">1</span><span class="special">)</span></code>
</p>
<p>
- The function ibeta_derivative
+ The function <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>
is used here, since it has already been optimised for the lowest
possible error - indeed this is really just a thin wrapper around
part of the internals of the incomplete beta function.
@@ -716,7 +716,7 @@
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">p</span> <span class="special">=</span> <span class="identifier">I</span><span class="special">[</span><span class="identifier">sub</span> <span class="number">1</span><span class="special">-</span><span class="identifier">p</span><span class="special">](</span><span class="identifier">n</span> <span class="special">-</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">k</span> <span class="special">+</span> <span class="number">1</span><span class="special">)</span>
<span class="special">=</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">I</span><span class="special">[</span><span class="identifier">sub</span> <span class="identifier">p</span><span class="special">](</span><span class="identifier">k</span> <span class="special">+</span> <span class="number">1</span><span class="special">,</span> <span class="identifier">n</span> <span class="special">-</span> <span class="identifier">k</span><span class="special">)</span>
- <span class="special">=</span> ibetac<span class="special">(</span><span class="identifier">k</span> <span class="special">+</span> <span class="number">1</span><span class="special">,</span> <span class="identifier">n</span> <span class="special">-</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">p</span><span class="special">)</span></pre>
+ <span class="special">=</span> <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a><span class="special">(</span><span class="identifier">k</span> <span class="special">+</span> <span class="number">1</span><span class="special">,</span> <span class="identifier">n</span> <span class="special">-</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">p</span><span class="special">)</span></pre>
<p>
</p>
<p>
@@ -732,7 +732,7 @@
</td>
<td>
<p>
- Using the relation: q = ibeta(k
+ Using the relation: q = <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>(k
+ 1, n - k, p)
</p>
<p>
@@ -751,7 +751,7 @@
Since the cdf is non-linear in variate <span class="emphasis"><em>k</em></span>
none of the inverse incomplete beta functions can be used here.
Instead the quantile is found numerically using a derivative
- free method (<a href="../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">TOMS
+ free method (<a class="link" href="../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">TOMS
Algorithm 748</a>).
</p>
</td>
@@ -876,9 +876,9 @@
<code class="computeroutput"><span class="identifier">find_lower_bound_on_p</span></code>
and <code class="computeroutput"><span class="identifier">find_number_of_trials</span></code>
are implemented in terms of the inverse incomplete beta functions
- ibetac_inv,
- ibeta_inv,
- and ibetac_invb
+ <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>,
+ <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>,
+ and <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_invb</a>
respectively
</p>
</td>
@@ -886,8 +886,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.references"></a><h5>
-<a name="id611521"></a>
- References
+<a name="id639025"></a>
+ <a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
@@ -908,7 +908,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Cauchy-Lorentz Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="binomial_dist.html" title="Binomial Distribution">
<link rel="next" href="chi_squared_dist.html" title="Chi Squared Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist"></a><a href="cauchy_dist.html" title="Cauchy-Lorentz Distribution"> Cauchy-Lorentz
+<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist"></a><a class="link" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution"> Cauchy-Lorentz
Distribution</a>
</h5></div></div></div>
<p>
@@ -34,12 +34,12 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">cauchy_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">cauchy_distribution</span><span class="special"><></span> <span class="identifier">cauchy</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">cauchy_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -88,8 +88,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/cauchy_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions"></a><h5>
-<a name="id612230"></a>
- <a href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions">Member
+<a name="id639735"></a>
+ <a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">cauchy_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">location</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">scale</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -101,7 +101,7 @@
a Standard Cauchy Distribution.
</p>
<p>
- Requires scale > 0, otherwise calls domain_error.
+ Requires scale > 0, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">location</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -114,25 +114,25 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors"></a><h5>
-<a name="id612441"></a>
- <a href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors">Non-member
+<a name="id639946"></a>
+ <a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
Note however that the Cauchy distribution does not have a mean, standard
- deviation, etc. See <a href="../../../policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">mathematically
+ deviation, etc. See <a class="link" href="../../../policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">mathematically
undefined function</a>
</p>
<p>
@@ -140,19 +140,19 @@
which is the default.
</p>
<p>
- Alternately, the functions mean,
- standard deviation, variance,
- skewness, kurtosis
- and kurtosis_excess
- will all return a domain_error if
+ Alternately, the functions <a class="link" href="../nmp.html#math.dist.mean">mean</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>, <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>
+ and <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>
+ will all return a <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a> if
called.
</p>
<p>
The domain of the random variable is [-[max_value], +[min_value]].
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy"></a><h5>
-<a name="id612696"></a>
- Accuracy
+<a name="id640200"></a>
+ <a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy">Accuracy</a>
</h5>
<p>
The Cauchy distribution is implemented in terms of the standard library
@@ -160,8 +160,8 @@
have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation"></a><h5>
-<a name="id612751"></a>
- Implementation
+<a name="id640256"></a>
+ <a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation">Implementation</a>
</h5>
<p>
In the following table x<sub>0 </sub> is the location parameter of the distribution,
@@ -276,8 +276,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.references"></a><h5>
-<a name="id613041"></a>
- References
+<a name="id640545"></a>
+ <a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="http://en.wikipedia.org/wiki/Cauchy_distribution" target="_top">Cauchy-Lorentz
@@ -292,7 +292,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Chi Squared Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution">
<link rel="next" href="exp_dist.html" title="Exponential Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist"></a><a href="chi_squared_dist.html" title="Chi Squared Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist"></a><a class="link" href="chi_squared_dist.html" title="Chi Squared Distribution">
Chi Squared Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">chi_squared_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">chi_squared_distribution</span><span class="special"><></span> <span class="identifier">chi_squared</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">chi_squared_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -87,8 +87,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/chi_squared_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions"></a><h5>
-<a name="id613816"></a>
- <a href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions">Member
+<a name="id641321"></a>
+ <a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">chi_squared_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">v</span><span class="special">);</span>
@@ -98,7 +98,7 @@
of freedom.
</p>
<p>
- Requires v > 0, otherwise calls domain_error.
+ Requires v > 0, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">degrees_of_freedom</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -170,21 +170,21 @@
NIST Engineering Statistics Handbook, Section 7.2.3.2</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors"></a><h5>
-<a name="id614261"></a>
- <a href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors">Non-member
+<a name="id641762"></a>
+ <a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
(We have followed the usual restriction of the mode to degrees of freedom
@@ -196,24 +196,24 @@
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples"></a><h5>
-<a name="id614450"></a>
- Examples
+<a name="id641951"></a>
+ <a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples">Examples</a>
</h5>
<p>
- Various worked examples
+ Various <a class="link" href="../../stat_tut/weg/cs_eg.html" title="Chi Squared Distribution Examples">worked examples</a>
are available illustrating the use of the Chi Squared Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy"></a><h5>
-<a name="id614491"></a>
- Accuracy
+<a name="id641992"></a>
+ <a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
- The Chi-Squared distribution is implemented in terms of the <a href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">incomplete
+ The Chi-Squared distribution is implemented in terms of the <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">incomplete
gamma functions</a>: please refer to the accuracy data for those functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation"></a><h5>
-<a name="id614533"></a>
- Implementation
+<a name="id642034"></a>
+ <a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>v</em></span> is the number of degrees
@@ -247,7 +247,7 @@
</td>
<td>
<p>
- Using the relation: pdf = gamma_p_derivative(v
+ Using the relation: pdf = <a class="link" href="../../../special/sf_gamma/gamma_derivatives.html" title="Derivative of the Incomplete Gamma Function">gamma_p_derivative</a>(v
/ 2, x / 2) / 2
</p>
</td>
@@ -260,7 +260,7 @@
</td>
<td>
<p>
- Using the relation: p = gamma_p(v
+ Using the relation: p = <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>(v
/ 2, x / 2)
</p>
</td>
@@ -273,7 +273,7 @@
</td>
<td>
<p>
- Using the relation: q = gamma_q(v
+ Using the relation: q = <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>(v
/ 2, x / 2)
</p>
</td>
@@ -286,7 +286,7 @@
</td>
<td>
<p>
- Using the relation: x = 2 * gamma_p_inv(v
+ Using the relation: x = 2 * <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>(v
/ 2, p)
</p>
</td>
@@ -299,7 +299,7 @@
</td>
<td>
<p>
- Using the relation: x = 2 * gamma_q_inv(v
+ Using the relation: x = 2 * <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>(v
/ 2, p)
</p>
</td>
@@ -379,8 +379,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.references"></a><h5>
-<a name="id614877"></a>
- References
+<a name="id642378"></a>
+ <a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="http://www.itl.nist.gov/div898/handbook/eda/section3/eda3666.htm" target="_top">NIST
@@ -395,7 +395,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Exponential Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="chi_squared_dist.html" title="Chi Squared Distribution">
<link rel="next" href="extreme_dist.html" title="Extreme Value Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.exp_dist"></a><a href="exp_dist.html" title="Exponential Distribution"> Exponential
+<a name="math_toolkit.dist.dist_ref.dists.exp_dist"></a><a class="link" href="exp_dist.html" title="Exponential Distribution"> Exponential
Distribution</a>
</h5></div></div></div>
<p>
@@ -34,12 +34,12 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">exponential_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">exponential_distribution</span><span class="special"><></span> <span class="identifier">exponential</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">exponential_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -71,8 +71,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/exponential_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.member_functions"></a><h5>
-<a name="id615458"></a>
- <a href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.member_functions">Member
+<a name="id642959"></a>
+ <a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">exponential_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">lambda</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -83,7 +83,7 @@
is defined as the reciprocal of the scale parameter.
</p>
<p>
- Requires lambda > 0, otherwise calls domain_error.
+ Requires lambda > 0, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">lambda</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -91,28 +91,28 @@
Accessor function returns the lambda parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors"></a><h5>
-<a name="id615600"></a>
- <a href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors">Non-member
+<a name="id643101"></a>
+ <a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.accuracy"></a><h5>
-<a name="id615771"></a>
- Accuracy
+<a name="id643272"></a>
+ <a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.accuracy">Accuracy</a>
</h5>
<p>
The exponential distribution is implemented in terms of the standard
@@ -122,8 +122,8 @@
should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.implementation"></a><h5>
-<a name="id615849"></a>
- Implementation
+<a name="id643350"></a>
+ <a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.implementation">Implementation</a>
</h5>
<p>
In the following table λ is the parameter lambda of the distribution,
@@ -283,8 +283,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.references"></a><h5>
-<a name="id616151"></a>
- references
+<a name="id643652"></a>
+ <a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.references">references</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="http://mathworld.wolfram.com/ExponentialDistribution.html" target="_top">Weisstein,
@@ -298,7 +298,7 @@
Exponential distribution</a></li>
</ul></div>
<p>
- (See also the reference documentation for the related <a href="extreme_dist.html" title="Extreme Value Distribution">Extreme
+ (See also the reference documentation for the related <a class="link" href="extreme_dist.html" title="Extreme Value Distribution">Extreme
Distributions</a>.)
</p>
<div class="itemizedlist"><ul type="disc"><li>
@@ -311,7 +311,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Extreme Value Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="exp_dist.html" title="Exponential Distribution">
<link rel="next" href="f_dist.html" title="F Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.extreme_dist"></a><a href="extreme_dist.html" title="Extreme Value Distribution"> Extreme
+<a name="math_toolkit.dist.dist_ref.dists.extreme_dist"></a><a class="link" href="extreme_dist.html" title="Extreme Value Distribution"> Extreme
Value Distribution</a>
</h5></div></div></div>
<p>
@@ -34,12 +34,12 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">extreme_value_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">extreme_value_distribution</span><span class="special"><></span> <span class="identifier">extreme_value</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">extreme_value_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -100,8 +100,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/extreme_value_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions"></a><h5>
-<a name="id616909"></a>
- <a href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions">Member
+<a name="id644410"></a>
+ <a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">extreme_value_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">location</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">scale</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -112,7 +112,7 @@
</p>
<p>
Requires <code class="computeroutput"><span class="identifier">scale</span> <span class="special">></span>
- <span class="number">0</span></code>, otherwise calls domain_error.
+ <span class="number">0</span></code>, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">location</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -125,28 +125,28 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors"></a><h5>
-<a name="id617133"></a>
- <a href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors">Non-member
+<a name="id644635"></a>
+ <a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random parameter is [-∞, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy"></a><h5>
-<a name="id617304"></a>
- Accuracy
+<a name="id644805"></a>
+ <a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy">Accuracy</a>
</h5>
<p>
The extreme value distribution is implemented in terms of the standard
@@ -154,8 +154,8 @@
very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.implementation"></a><h5>
-<a name="id617358"></a>
- Implementation
+<a name="id644859"></a>
+ <a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.implementation">Implementation</a>
</h5>
<p>
In the following table: <span class="emphasis"><em>a</em></span> is the location parameter,
@@ -321,7 +321,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>F Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="extreme_dist.html" title="Extreme Value Distribution">
<link rel="next" href="gamma_dist.html" title="Gamma (and Erlang) Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.f_dist"></a> F Distribution
+<a name="math_toolkit.dist.dist_ref.dists.f_dist"></a><a class="link" href="f_dist.html" title="F Distribution"> F Distribution</a>
</h5></div></div></div>
<p>
@@ -35,12 +35,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">fisher_f_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">fisher_f_distribution</span><span class="special"><></span> <span class="identifier">fisher_f</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">fisher_f_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -80,8 +80,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/fisher_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.member_functions"></a><h5>
-<a name="id618316"></a>
- <a href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.member_functions">Member
+<a name="id645818"></a>
+ <a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">fisher_f_distribution</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">df1</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">df2</span><span class="special">);</span>
@@ -92,7 +92,7 @@
</p>
<p>
Requires that <span class="emphasis"><em>df1</em></span> and <span class="emphasis"><em>df2</em></span> are
- both greater than zero, otherwise domain_error
+ both greater than zero, otherwise <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>
is called.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">degrees_of_freedom1</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
@@ -106,45 +106,45 @@
Returns the denominator degrees of freedom parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors"></a><h5>
-<a name="id618529"></a>
- <a href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors">Non-member
+<a name="id646031"></a>
+ <a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.examples"></a><h5>
-<a name="id618701"></a>
- Examples
+<a name="id646202"></a>
+ <a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.examples">Examples</a>
</h5>
<p>
- Various worked examples
+ Various <a class="link" href="../../stat_tut/weg/f_eg.html" title="F Distribution Examples">worked examples</a>
are available illustrating the use of the F Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.accuracy"></a><h5>
-<a name="id618741"></a>
- Accuracy
+<a name="id646242"></a>
+ <a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.accuracy">Accuracy</a>
</h5>
<p>
- The normal distribution is implemented in terms of the <a href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">incomplete
- beta function</a> and it's inverses,
+ The normal distribution is implemented in terms of the <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">incomplete
+ beta function</a> and it's <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">inverses</a>,
refer to those functions for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.implementation"></a><h5>
-<a name="id618789"></a>
- Implementation
+<a name="id646291"></a>
+ <a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>v1</em></span> and <span class="emphasis"><em>v2</em></span>
@@ -195,7 +195,7 @@
led to the following two formulas:
</p>
<p>
- f<sub>v1,v2</sub>(x) = y * ibeta_derivative(v2
+ f<sub>v1,v2</sub>(x) = y * <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>(v2
/ 2, v1 / 2, v2 / (v2 + v1 * x))
</p>
<p>
@@ -205,7 +205,7 @@
and
</p>
<p>
- f<sub>v1,v2</sub>(x) = y * ibeta_derivative(v1
+ f<sub>v1,v2</sub>(x) = y * <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>(v1
/ 2, v2 / 2, v1 * x / (v2 + v1 * x))
</p>
<p>
@@ -219,7 +219,7 @@
second is used.
</p>
<p>
- The aim is to keep the <span class="emphasis"><em>x</em></span> argument to ibeta_derivative
+ The aim is to keep the <span class="emphasis"><em>x</em></span> argument to <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>
away from 1 to avoid rounding error.
</p>
</td>
@@ -235,14 +235,14 @@
Using the relations:
</p>
<p>
- p = ibeta(v1
+ p = <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>(v1
/ 2, v2 / 2, v1 * x / (v2 + v1 * x))
</p>
<p>
and
</p>
<p>
- p = ibetac(v2
+ p = <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>(v2
/ 2, v1 / 2, v2 / (v2 + v1 * x))
</p>
<p>
@@ -250,7 +250,7 @@
used.
</p>
<p>
- The aim is to keep the <span class="emphasis"><em>x</em></span> argument to ibeta
+ The aim is to keep the <span class="emphasis"><em>x</em></span> argument to <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
well away from 1 to avoid rounding error.
</p>
</td>
@@ -266,14 +266,14 @@
Using the relations:
</p>
<p>
- p = ibetac(v1
+ p = <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>(v1
/ 2, v2 / 2, v1 * x / (v2 + v1 * x))
</p>
<p>
and
</p>
<p>
- p = ibeta(v2
+ p = <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>(v2
/ 2, v1 / 2, v2 / (v2 + v1 * x))
</p>
<p>
@@ -281,7 +281,7 @@
used.
</p>
<p>
- The aim is to keep the <span class="emphasis"><em>x</em></span> argument to ibeta
+ The aim is to keep the <span class="emphasis"><em>x</em></span> argument to <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
well away from 1 to avoid rounding error.
</p>
</td>
@@ -303,7 +303,7 @@
where:
</p>
<p>
- a = ibeta_inv(v1
+ a = <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>(v1
/ 2, v2 / 2, p)
</p>
<p>
@@ -314,7 +314,7 @@
</p>
<p>
Quantities <span class="emphasis"><em>a</em></span> and <span class="emphasis"><em>b</em></span>
- are both computed by ibeta_inv
+ are both computed by <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>
without the subtraction implied above.
</p>
</td>
@@ -339,7 +339,7 @@
where
</p>
<p>
- a = ibetac_inv(v1
+ a = <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>(v1
/ 2, v2 / 2, p)
</p>
<p>
@@ -350,7 +350,7 @@
</p>
<p>
Quantities <span class="emphasis"><em>a</em></span> and <span class="emphasis"><em>b</em></span>
- are both computed by ibetac_inv
+ are both computed by <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>
without the subtraction implied above.
</p>
</td>
@@ -424,7 +424,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Gamma (and Erlang) Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="f_dist.html" title="F Distribution">
<link rel="next" href="lognormal_dist.html" title="Log Normal Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.gamma_dist"></a><a href="gamma_dist.html" title="Gamma (and Erlang) Distribution"> Gamma
+<a name="math_toolkit.dist.dist_ref.dists.gamma_dist"></a><a class="link" href="gamma_dist.html" title="Gamma (and Erlang) Distribution"> Gamma
(and Erlang) Distribution</a>
</h5></div></div></div>
<p>
@@ -36,7 +36,7 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">gamma_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -85,7 +85,7 @@
<p>
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">gamma_distribution</span><span class="special"><></span></pre>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">gamma_distribution</span><span class="special"><></span></pre>
<p>
</p>
</td></tr>
@@ -137,8 +137,8 @@
than a dedicated Erlang Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions"></a><h5>
-<a name="id620211"></a>
- <a href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions">Member
+<a name="id647722"></a>
+ <a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">gamma_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">shape</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">scale</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -149,7 +149,7 @@
</p>
<p>
Requires that the shape and scale parameters are greater than zero, otherwise
- calls domain_error.
+ calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">shape</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -162,40 +162,40 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors"></a><h5>
-<a name="id620415"></a>
- <a href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors">Non-member
+<a name="id647926"></a>
+ <a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0,+∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy"></a><h5>
-<a name="id620586"></a>
- Accuracy
+<a name="id648097"></a>
+ <a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy">Accuracy</a>
</h5>
<p>
The lognormal distribution is implemented in terms of the incomplete
- gamma functions gamma_p
- and gamma_q
- and their inverses gamma_p_inv
- and gamma_q_inv:
+ gamma functions <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>
+ and <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
+ and their inverses <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>
+ and <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>:
refer to the accuracy data for those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.implementation"></a><h5>
-<a name="id620655"></a>
- Implementation
+<a name="id648166"></a>
+ <a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>k</em></span> is the shape parameter
@@ -229,7 +229,7 @@
</td>
<td>
<p>
- Using the relation: pdf = gamma_p_derivative(k,
+ Using the relation: pdf = <a class="link" href="../../../special/sf_gamma/gamma_derivatives.html" title="Derivative of the Incomplete Gamma Function">gamma_p_derivative</a>(k,
x / θ) / θ
</p>
</td>
@@ -242,7 +242,7 @@
</td>
<td>
<p>
- Using the relation: p = gamma_p(k,
+ Using the relation: p = <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>(k,
x / θ)
</p>
</td>
@@ -255,7 +255,7 @@
</td>
<td>
<p>
- Using the relation: q = gamma_q(k,
+ Using the relation: q = <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>(k,
x / θ)
</p>
</td>
@@ -268,7 +268,7 @@
</td>
<td>
<p>
- Using the relation: x = θ* gamma_p_inv(k,
+ Using the relation: x = θ* <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>(k,
p)
</p>
</td>
@@ -281,7 +281,7 @@
</td>
<td>
<p>
- Using the relation: x = θ* gamma_q_inv(k,
+ Using the relation: x = θ* <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>(k,
p)
</p>
</td>
@@ -318,7 +318,7 @@
</td>
<td>
<p>
- (k-1)θ for <span class="emphasis"><em>k>1</em></span> otherwise a domain_error
+ (k-1)θ for <span class="emphasis"><em>k>1</em></span> otherwise a <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>
</p>
</td>
</tr>
@@ -364,7 +364,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Log Normal Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="gamma_dist.html" title="Gamma (and Erlang) Distribution">
<link rel="next" href="negative_binomial_dist.html" title="Negative Binomial Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist"></a><a href="lognormal_dist.html" title="Log Normal Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist"></a><a class="link" href="lognormal_dist.html" title="Log Normal Distribution">
Log Normal Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">lognormal_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">lognormal_distribution</span><span class="special"><></span> <span class="identifier">lognormal</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">lognormal_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -88,8 +88,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/lognormal_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions"></a><h5>
-<a name="id621703"></a>
- <a href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions">Member
+<a name="id649215"></a>
+ <a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">lognormal_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">location</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">scale</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -108,7 +108,7 @@
</p>
<p>
Requires that the scale parameter is greater than zero, otherwise calls
- domain_error.
+ <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">location</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -121,37 +121,37 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors"></a><h5>
-<a name="id621930"></a>
- <a href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors">Non-member
+<a name="id649442"></a>
+ <a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0,+∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy"></a><h5>
-<a name="id622098"></a>
- Accuracy
+<a name="id649610"></a>
+ <a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy">Accuracy</a>
</h5>
<p>
The lognormal distribution is implemented in terms of the standard library
- log and exp functions, plus the <a href="../../../special/sf_erf/error_function.html" title="Error Functions">error
+ log and exp functions, plus the <a class="link" href="../../../special/sf_erf/error_function.html" title="Error Functions">error
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation"></a><h5>
-<a name="id622139"></a>
- Implementation
+<a name="id649651"></a>
+ <a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>m</em></span> is the location parameter
@@ -319,7 +319,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Noncentral Beta Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="negative_binomial_dist.html" title="Negative Binomial Distribution">
<link rel="next" href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist"></a><a href="nc_beta_dist.html" title="Noncentral Beta Distribution"> Noncentral
+<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist"></a><a class="link" href="nc_beta_dist.html" title="Noncentral Beta Distribution"> Noncentral
Beta Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_beta_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">non_central_beta_distribution</span><span class="special"><></span> <span class="identifier">non_central_beta</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_beta_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -62,7 +62,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The noncentral beta distribution is a generalization of the <a href="beta_dist.html" title="Beta Distribution">Beta
+ The noncentral beta distribution is a generalization of the <a class="link" href="beta_dist.html" title="Beta Distribution">Beta
Distribution</a>.
</p>
<p>
@@ -96,8 +96,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_beta_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions"></a><h5>
-<a name="id628022"></a>
- <a href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions">Member
+<a name="id655529"></a>
+ <a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">non_central_beta_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">lambda</span><span class="special">);</span>
@@ -107,7 +107,7 @@
and <span class="emphasis"><em>b</em></span> and non-centrality parameter <span class="emphasis"><em>lambda</em></span>.
</p>
<p>
- Requires a > 0, b > 0 and lambda >= 0, otherwise calls domain_error.
+ Requires a > 0, b > 0 and lambda >= 0, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">alpha</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -128,32 +128,32 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors"></a><h5>
-<a name="id628280"></a>
- <a href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors">Non-member
+<a name="id655786"></a>
+ <a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- Most of the <a href="../nmp.html" title="Non-Member Properties">usual non-member
- accessor functions</a> are supported: <a href="../nmp.html#math.dist.cdf">Cumulative
- Distribution Function</a>, <a href="../nmp.html#math.dist.pdf">Probability
- Density Function</a>, Quantile,
- median, mode,
- Hazard Function, <a href="../nmp.html#math.dist.chf">Cumulative
- Hazard Function</a>, range
- and support.
+ Most of the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
+ accessor functions</a> are supported: <a class="link" href="../nmp.html#math.dist.cdf">Cumulative
+ Distribution Function</a>, <a class="link" href="../nmp.html#math.dist.pdf">Probability
+ Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>,
+ <a class="link" href="../nmp.html#math.dist.median">median</a>, <a class="link" href="../nmp.html#math.dist.mode">mode</a>,
+ <a class="link" href="../nmp.html#math.dist.hazard">Hazard Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative
+ Hazard Function</a>, <a class="link" href="../nmp.html#math.dist.range">range</a>
+ and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
- However, the following are not currently implemented: mean,
- variance, <a href="../nmp.html#math.dist.sd">standard
- deviation</a>, skewness,
- kurtosis and kurtosis_excess.
+ However, the following are not currently implemented: <a class="link" href="../nmp.html#math.dist.mean">mean</a>,
+ <a class="link" href="../nmp.html#math.dist.variance">variance</a>, <a class="link" href="../nmp.html#math.dist.sd">standard
+ deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a> and <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>.
</p>
<p>
The domain of the random variable is [0, 1].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy"></a><h5>
-<a name="id628454"></a>
- Accuracy
+<a name="id655960"></a>
+ <a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon)
@@ -164,11 +164,11 @@
to assign an <span class="emphasis"><em>"infinite"</em></span> error to these
libraries for some of our test values when measuring <span class="emphasis"><em>relative
error</em></span>. Unless otherwise specified any floating-point type
- that is narrower than the one shown will have <a href="../../../backgrounders/relative_error.html#zero_error">effectively
+ that is narrower than the one shown will have <a class="link" href="../../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<div class="table">
-<a name="id628516"></a><p class="title"><b>Table 13. Errors In CDF of the Noncentral Beta</b></p>
+<a name="id656022"></a><p class="title"><b>Table 13. Errors In CDF of the Noncentral Beta</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Beta">
<colgroup>
<col>
@@ -295,8 +295,8 @@
functions are broadly similar.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests"></a><h5>
-<a name="id628726"></a>
- Tests
+<a name="id656232"></a>
+ <a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests">Tests</a>
</h5>
<p>
There are two sets of test data used to verify this implementation: firstly
@@ -307,8 +307,8 @@
tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation"></a><h5>
-<a name="id628769"></a>
- Implementation
+<a name="id656275"></a>
+ <a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation">Implementation</a>
</h5>
<p>
The CDF and its complement are evaluated as follows:
@@ -388,7 +388,7 @@
<span class="inlinemediaobject"><img src="../../../../../equations/nc_beta_ref1.png"></span>
</p>
<p>
- Quantiles are computed using a specially modified version of bracket_and_solve_root,
+ Quantiles are computed using a specially modified version of <a class="link" href="../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">bracket_and_solve_root</a>,
starting the search for the root at the mean of the distribution. (A
Cornish-Fisher type expansion was also tried, but while this gets quite
close to the root in many cases, when it is wrong it tends to introduce
@@ -399,7 +399,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Noncentral Chi-Squared Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_beta_dist.html" title="Noncentral Beta Distribution">
<link rel="next" href="nc_f_dist.html" title="Noncentral F Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist"></a><a href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist"></a><a class="link" href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">
Noncentral Chi-Squared Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_chi_squared_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">non_central_chi_squared_distribution</span><span class="special"><></span> <span class="identifier">non_central_chi_squared</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_chi_squared_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -70,7 +70,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The noncentral chi-squared distribution is a generalization of the <a href="chi_squared_dist.html" title="Chi Squared Distribution">Chi Squared
+ The noncentral chi-squared distribution is a generalization of the <a class="link" href="chi_squared_dist.html" title="Chi Squared Distribution">Chi Squared
Distribution</a>. If X<sub>i</sub> are ν independent, normally distributed random
variables with means μ<sub>i</sub> and variances σ<sub>i</sub><sup>2</sup>, then the random variable
</p>
@@ -110,8 +110,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nccs_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions"></a><h5>
-<a name="id630202"></a>
- <a href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions">Member
+<a name="id657715"></a>
+ <a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">non_central_chi_squared_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">lambda</span><span class="special">);</span>
@@ -121,7 +121,7 @@
of freedom and non-centrality parameter <span class="emphasis"><em>lambda</em></span>.
</p>
<p>
- Requires v > 0 and lambda >= 0, otherwise calls domain_error.
+ Requires v > 0 and lambda >= 0, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">degrees_of_freedom</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -183,47 +183,47 @@
<span class="special">==</span> <span class="identifier">q</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors"></a><h5>
-<a name="id631438"></a>
- <a href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors">Non-member
+<a name="id658951"></a>
+ <a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples"></a><h5>
-<a name="id631609"></a>
- Examples
+<a name="id659123"></a>
+ <a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples">Examples</a>
</h5>
<p>
- There is a <a href="../../stat_tut/weg/nccs_eg.html" title="Non Central Chi Squared Example">worked
+ There is a <a class="link" href="../../stat_tut/weg/nccs_eg.html" title="Non Central Chi Squared Example">worked
example</a> for the noncentral chi-squared distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy"></a><h5>
-<a name="id631649"></a>
- Accuracy
+<a name="id659162"></a>
+ <a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon)
found on various platforms with various floating-point types, along with
comparisons to the <a href="http://www.r-project.org/" target="_top">R-2.5.1 Math
library</a>. Unless otherwise specified, any floating-point type
- that is narrower than the one shown will have <a href="../../../backgrounders/relative_error.html#zero_error">effectively
+ that is narrower than the one shown will have <a class="link" href="../../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<div class="table">
-<a name="id631697"></a><p class="title"><b>Table 14. Errors In CDF of the Noncentral Chi-Squared</b></p>
+<a name="id659210"></a><p class="title"><b>Table 14. Errors In CDF of the Noncentral Chi-Squared</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Chi-Squared">
<colgroup>
<col>
@@ -359,8 +359,8 @@
produce an accuracy greater than the square root of the machine epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests"></a><h5>
-<a name="id631931"></a>
- Tests
+<a name="id659445"></a>
+ <a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests">Tests</a>
</h5>
<p>
There are two sets of test data used to verify this implementation: firstly
@@ -373,8 +373,8 @@
to at least 50 decimal digits - and is the used for our accuracy tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation"></a><h5>
-<a name="id631973"></a>
- Implementation
+<a name="id659498"></a>
+ <a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
The CDF and its complement are evaluated as follows:
@@ -405,7 +405,7 @@
<span class="inlinemediaobject"><img src="../../../../../equations/nc_chi_squ_ref4.png"></span>
</p>
<p>
- which requires just one call to gamma_p_derivative
+ which requires just one call to <a class="link" href="../../../special/sf_gamma/gamma_derivatives.html" title="Derivative of the Incomplete Gamma Function">gamma_p_derivative</a>
with the subsequent terms being computed by recursion as shown above.
</p>
<p>
@@ -464,11 +464,11 @@
<span class="inlinemediaobject"><img src="../../../../../equations/nc_chi_squ_ref3.png"></span>
</p>
<p>
- Where <span class="emphasis"><em>f(x; v)</em></span> is the PDF of the central <a href="chi_squared_dist.html" title="Chi Squared Distribution">Chi
+ Where <span class="emphasis"><em>f(x; v)</em></span> is the PDF of the central <a class="link" href="chi_squared_dist.html" title="Chi Squared Distribution">Chi
Squared Distribution</a> and <span class="emphasis"><em>I<sub>v</sub>(x)</em></span> is a modified
- Bessel function, see cyl_bessel_i.
+ Bessel function, see <a class="link" href="../../../special/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a>.
For small values of the non-centrality parameter the relation in terms
- of cyl_bessel_i
+ of <a class="link" href="../../../special/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a>
is used. However, this method fails for large values of the non-centrality
parameter, so in that case the infinite sum is evaluated using the method
of Benton and Krishnamoorthy, and the usual recurrence relations for
@@ -501,7 +501,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Noncentral F Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">
<link rel="next" href="nc_t_dist.html" title="Noncentral T Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist"></a><a href="nc_f_dist.html" title="Noncentral F Distribution"> Noncentral
+<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist"></a><a class="link" href="nc_f_dist.html" title="Noncentral F Distribution"> Noncentral
F Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_f_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">non_central_f_distribution</span><span class="special"><></span> <span class="identifier">non_central_f</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_f_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -62,7 +62,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The noncentral F distribution is a generalization of the <a href="f_dist.html" title="F Distribution">Fisher
+ The noncentral F distribution is a generalization of the <a class="link" href="f_dist.html" title="F Distribution">Fisher
F Distribution</a>. It is defined as the ratio
</p>
<pre class="programlisting"><span class="identifier">F</span> <span class="special">=</span> <span class="special">(</span><span class="identifier">X</span><span class="special">/</span><span class="identifier">v1</span><span class="special">)</span> <span class="special">/</span> <span class="special">(</span><span class="identifier">Y</span><span class="special">/</span><span class="identifier">v2</span><span class="special">)</span>
@@ -81,7 +81,7 @@
</p>
<p>
where L<sub>a</sub><sup>b</sup>(c) is a generalised Laguerre polynomial and B(a,b) is the
- beta
+ <a class="link" href="../../../special/sf_beta/beta_function.html" title="Beta">beta</a>
function, or
</p>
<p>
@@ -95,8 +95,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions"></a><h5>
-<a name="id633212"></a>
- <a href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions">Member
+<a name="id660737"></a>
+ <a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">non_central_f_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">v1</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">v2</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">lambda</span><span class="special">);</span>
@@ -106,7 +106,7 @@
and <span class="emphasis"><em>v2</em></span> and non-centrality parameter <span class="emphasis"><em>lambda</em></span>.
</p>
<p>
- Requires v1 > 0, v2 > 0 and lambda >= 0, otherwise calls domain_error.
+ Requires v1 > 0, v2 > 0 and lambda >= 0, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">degrees_of_freedom1</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -127,36 +127,36 @@
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors"></a><h5>
-<a name="id633470"></a>
- <a href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors">Non-member
+<a name="id660995"></a>
+ <a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy"></a><h5>
-<a name="id633642"></a>
- Accuracy
+<a name="id661167"></a>
+ <a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy">Accuracy</a>
</h5>
<p>
- This distribution is implemented in terms of the <a href="nc_beta_dist.html" title="Noncentral Beta Distribution">Noncentral
+ This distribution is implemented in terms of the <a class="link" href="nc_beta_dist.html" title="Noncentral Beta Distribution">Noncentral
Beta Distribution</a>: refer to that distribution for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.tests"></a><h5>
-<a name="id633682"></a>
- Tests
+<a name="id661207"></a>
+ <a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.tests">Tests</a>
</h5>
<p>
Since this distribution is implemented by adapting another distribution,
@@ -164,8 +164,8 @@
Math library statistical package</a> and its pbeta and dbeta functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation"></a><h5>
-<a name="id633720"></a>
- Implementation
+<a name="id661245"></a>
+ <a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>v1</em></span> and <span class="emphasis"><em>v2</em></span>
@@ -408,7 +408,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Noncentral T Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_f_dist.html" title="Noncentral F Distribution">
<link rel="next" href="normal_dist.html" title="Normal (Gaussian) Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist"></a><a href="nc_t_dist.html" title="Noncentral T Distribution"> Noncentral
+<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist"></a><a class="link" href="nc_t_dist.html" title="Noncentral T Distribution"> Noncentral
T Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_t_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">non_central_t_distribution</span><span class="special"><></span> <span class="identifier">non_central_t</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">non_central_t_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -61,7 +61,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The noncentral T distribution is a generalization of the <a href="students_t_dist.html" title="Students t Distribution">Students
+ The noncentral T distribution is a generalization of the <a class="link" href="students_t_dist.html" title="Students t Distribution">Students
t Distribution</a>. Let X have a normal distribution with mean δ and
variance 1, and let ν S<sup>2</sup> have a chi-squared distribution with degrees of
freedom ν. Assume that X and S<sup>2</sup> are independent. The distribution of t<sub>ν</sub>(δ)=X/S
@@ -85,8 +85,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions"></a><h5>
-<a name="id634884"></a>
- <a href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions">Member
+<a name="id662409"></a>
+ <a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">non_central_t_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">lambda</span><span class="special">);</span>
@@ -96,7 +96,7 @@
<span class="emphasis"><em>v</em></span> and non-centrality parameter <span class="emphasis"><em>delta</em></span>.
</p>
<p>
- Requires v > 0 and finite delta, otherwise calls domain_error.
+ Requires v > 0 and finite delta, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">degrees_of_freedom</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -111,37 +111,37 @@
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors"></a><h5>
-<a name="id635078"></a>
- <a href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors">Non-member
+<a name="id662603"></a>
+ <a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [-∞, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy"></a><h5>
-<a name="id635250"></a>
- Accuracy
+<a name="id662775"></a>
+ <a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon)
found on various platforms with various floating-point types. Unless
otherwise specified, any floating-point type that is narrower than the
- one shown will have effectively zero error.
+ one shown will have <a class="link" href="../../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
-<a name="id635290"></a><p class="title"><b>Table 15. Errors In CDF of the Noncentral T Distribution</b></p>
+<a name="id662815"></a><p class="title"><b>Table 15. Errors In CDF of the Noncentral T Distribution</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral T Distribution">
<colgroup>
<col>
@@ -255,8 +255,8 @@
epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.tests"></a><h5>
-<a name="id635483"></a>
- Tests
+<a name="id663009"></a>
+ <a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.tests">Tests</a>
</h5>
<p>
There are two sets of tests of this distribution: basic sanity checks
@@ -270,8 +270,8 @@
least 50 decimal places.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation"></a><h5>
-<a name="id635526"></a>
- Implementation
+<a name="id663051"></a>
+ <a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation">Implementation</a>
</h5>
<p>
The CDF is computed using a modification of the method described in "Computing
@@ -312,7 +312,7 @@
and therefore we have a means to compute either the probability or its
complement directly without the risk of cancellation error. The crossover
criterion for choosing whether to calculate the CDF or it's complement
- is the same as for the <a href="nc_beta_dist.html" title="Noncentral Beta Distribution">Noncentral
+ is the same as for the <a class="link" href="nc_beta_dist.html" title="Noncentral Beta Distribution">Noncentral
Beta Distribution</a>.
</p>
<p>
@@ -325,7 +325,7 @@
Where I<sub>x</sub><sup>'</sup>(a,b) is the derivative of the incomplete beta function.
</p>
<p>
- The quantile is calculated via the usual <a href="../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">derivative-free
+ The quantile is calculated via the usual <a class="link" href="../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">derivative-free
root-finding techniques</a>, with the initial guess taken as the quantile
of a normal approximation to the noncentral T.
</p>
@@ -352,7 +352,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Negative Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="lognormal_dist.html" title="Log Normal Distribution">
<link rel="next" href="nc_beta_dist.html" title="Noncentral Beta Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist"></a><a href="negative_binomial_dist.html" title="Negative Binomial Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist"></a><a class="link" href="negative_binomial_dist.html" title="Negative Binomial Distribution">
Negative Binomial Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">negative_binomial_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">negative_binomial_distribution</span><span class="special"><></span> <span class="identifier">negative_binomial</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">negative_binomial_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -123,8 +123,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/negative_binomial_pdf_2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions"></a><h5>
-<a name="id623617"></a>
- <a href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions">Related
+<a name="id651123"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions">Related
Distributions</a>
</h5>
<p>
@@ -188,10 +188,10 @@
</p>
<p>
This behaviour can be changed so that the quantile functions are
- rounded differently, or even return a real-valued result using Policies. It is
- strongly recommended that you read the tutorial <a href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ rounded differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>. It is
+ strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
Quantiles of Discrete Distributions</a> before using the quantile
- function on the Negative Binomial distribution. The <a href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ function on the Negative Binomial distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
docs</a> describe how to change the rounding policy for these
distributions.
</p>
@@ -200,13 +200,13 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions"></a><h5>
-<a name="id623821"></a>
- <a href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions">Member
+<a name="id651327"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct"></a><h6>
-<a name="id623849"></a>
- Construct
+<a name="id651354"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">r</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
</pre>
@@ -221,8 +221,8 @@
<span class="special"><=</span> <span class="number">1</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors"></a><h6>
-<a name="id624004"></a>
- Accessors
+<a name="id651509"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span> <span class="comment">// successes / trials (0 <= p <= 1)
</span></pre>
@@ -237,8 +237,8 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p"></a><h6>
-<a name="id624129"></a>
- <a href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p">Lower
+<a name="id651635"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p">Lower
Bound on Parameter p</a>
</h6>
<pre class="programlisting"><span class="keyword">static</span> <span class="identifier">RealType</span> <span class="identifier">find_lower_bound_on_p</span><span class="special">(</span>
@@ -280,7 +280,7 @@
<span class="identifier">failures</span><span class="special">,</span> <span class="identifier">successes</span><span class="special">,</span> <span class="number">0.05</span><span class="special">);</span>
</pre>
<p>
- <a href="../../stat_tut/weg/neg_binom_eg/neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">See
+ <a class="link" href="../../stat_tut/weg/neg_binom_eg/neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">See
negative binomial confidence interval example.</a>
</p>
<p>
@@ -298,8 +298,8 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p"></a><h6>
-<a name="id624493"></a>
- <a href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p">Upper
+<a name="id651999"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p">Upper
Bound on Parameter p</a>
</h6>
<pre class="programlisting"><span class="keyword">static</span> <span class="identifier">RealType</span> <span class="identifier">find_upper_bound_on_p</span><span class="special">(</span>
@@ -340,7 +340,7 @@
<span class="identifier">r</span><span class="special">,</span> <span class="identifier">k</span><span class="special">,</span> <span class="number">0.05</span><span class="special">);</span>
</pre>
<p>
- <a href="../../stat_tut/weg/neg_binom_eg/neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">See
+ <a class="link" href="../../stat_tut/weg/neg_binom_eg/neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">See
negative binomial confidence interval example.</a>
</p>
<p>
@@ -358,8 +358,8 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures"></a><h6>
-<a name="id624855"></a>
- <a href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures">Estimating
+<a name="id652360"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures">Estimating
Number of Trials to Ensure at Least a Certain Number of Failures</a>
</h6>
<pre class="programlisting"><span class="keyword">static</span> <span class="identifier">RealType</span> <span class="identifier">find_minimum_number_of_trials</span><span class="special">(</span>
@@ -399,7 +399,7 @@
of seeing 10 failures that occur with frequency one half.
</p>
<p>
- <a href="../../stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">Worked
+ <a class="link" href="../../stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">Worked
Example.</a>
</p>
<p>
@@ -409,8 +409,8 @@
probability of observing k failures or fewer.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less"></a><h6>
-<a name="id625162"></a>
- <a href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less">Estimating
+<a name="id652667"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less">Estimating
Number of Trials to Ensure a Maximum Number of Failures or Less</a>
</h6>
<pre class="programlisting"><span class="keyword">static</span> <span class="identifier">RealType</span> <span class="identifier">find_maximum_number_of_trials</span><span class="special">(</span>
@@ -457,28 +457,28 @@
probability of observing more than k failures.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors"></a><h5>
-<a name="id625479"></a>
- <a href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors">Non-member
+<a name="id652984"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
However it's worth taking a moment to define what these actually mean
in the context of this distribution:
</p>
<div class="table">
-<a name="id625643"></a><p class="title"><b>Table 12. Meaning of the non-member accessors.</b></p>
+<a name="id653148"></a><p class="title"><b>Table 12. Meaning of the non-member accessors.</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors.">
<colgroup>
<col>
@@ -500,7 +500,7 @@
<tr>
<td>
<p>
- Probability Density Function
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>
</p>
</td>
<td>
@@ -519,7 +519,7 @@
<tr>
<td>
<p>
- Cumulative Distribution Function
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>
</p>
</td>
<td>
@@ -539,7 +539,7 @@
<tr>
<td>
<p>
- <a href="../nmp.html#math.dist.ccdf">Complement of the Cumulative Distribution
+ <a class="link" href="../nmp.html#math.dist.ccdf">Complement of the Cumulative Distribution
Function</a>
</p>
</td>
@@ -560,7 +560,7 @@
<tr>
<td>
<p>
- Quantile
+ <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>
</p>
</td>
<td>
@@ -582,7 +582,7 @@
<tr>
<td>
<p>
- <a href="../nmp.html#math.dist.quantile_c">Quantile from the complement
+ <a class="link" href="../nmp.html#math.dist.quantile_c">Quantile from the complement
of the probability</a>
</p>
</td>
@@ -603,18 +603,18 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy"></a><h5>
-<a name="id626201"></a>
- Accuracy
+<a name="id653706"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
This distribution is implemented using the incomplete beta functions
- ibeta
- and ibetac:
+ <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
+ and <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>:
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation"></a><h5>
-<a name="id626250"></a>
- Implementation
+<a name="id653756"></a>
+ <a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation">Implementation</a>
</h5>
<p>
In the following table, <span class="emphasis"><em>p</em></span> is the probability that
@@ -652,11 +652,11 @@
* pow((1-p), k)
</p>
<p>
- Implementation is in terms of ibeta_derivative:
+ Implementation is in terms of <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>:
</p>
<p>
(p/(r + k)) * ibeta_derivative(r, static_cast<RealType>(k+1),
- p) The function ibeta_derivative
+ p) The function <a class="link" href="../../../special/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">ibeta_derivative</a>
is used here, since it has already been optimised for the lowest
possible error - indeed this is really just a thin wrapper around
part of the internals of the incomplete beta function.
@@ -895,7 +895,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Normal (Gaussian) Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_t_dist.html" title="Noncentral T Distribution">
<link rel="next" href="pareto.html" title="Pareto Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.normal_dist"></a><a href="normal_dist.html" title="Normal (Gaussian) Distribution"> Normal
+<a name="math_toolkit.dist.dist_ref.dists.normal_dist"></a><a class="link" href="normal_dist.html" title="Normal (Gaussian) Distribution"> Normal
(Gaussian) Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">normal_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">normal_distribution</span><span class="special"><></span> <span class="identifier">normal</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">normal_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -79,8 +79,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/normal_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.member_functions"></a><h5>
-<a name="id636531"></a>
- <a href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.member_functions">Member
+<a name="id664056"></a>
+ <a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">normal_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">mean</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">sd</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -90,7 +90,7 @@
and standard deviation <span class="emphasis"><em>sd</em></span>.
</p>
<p>
- Requires sd > 0, otherwise domain_error
+ Requires sd > 0, otherwise <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>
is called.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">mean</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
@@ -109,21 +109,21 @@
be used generically).
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors"></a><h5>
-<a name="id636805"></a>
- <a href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors">Non-member
+<a name="id664330"></a>
+ <a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [-[max_value], +[min_value]]. However,
@@ -131,16 +131,16 @@
and complement cdf -∞ = 1 and +∞ = 0, if RealType permits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.accuracy"></a><h5>
-<a name="id636982"></a>
- Accuracy
+<a name="id664507"></a>
+ <a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.accuracy">Accuracy</a>
</h5>
<p>
- The normal distribution is implemented in terms of the <a href="../../../special/sf_erf/error_function.html" title="Error Functions">error
+ The normal distribution is implemented in terms of the <a class="link" href="../../../special/sf_erf/error_function.html" title="Error Functions">error
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.implementation"></a><h5>
-<a name="id637022"></a>
- Implementation
+<a name="id664547"></a>
+ <a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>m</em></span> is the mean of the distribution,
@@ -184,7 +184,7 @@
</td>
<td>
<p>
- Using the relation: p = 0.5 * erfc(-(x-m)/(s*sqrt(2)))
+ Using the relation: p = 0.5 * <a class="link" href="../../../special/sf_erf/error_function.html" title="Error Functions">erfc</a>(-(x-m)/(s*sqrt(2)))
</p>
</td>
</tr>
@@ -196,7 +196,7 @@
</td>
<td>
<p>
- Using the relation: q = 0.5 * erfc((x-m)/(s*sqrt(2)))
+ Using the relation: q = 0.5 * <a class="link" href="../../../special/sf_erf/error_function.html" title="Error Functions">erfc</a>((x-m)/(s*sqrt(2)))
</p>
</td>
</tr>
@@ -208,7 +208,7 @@
</td>
<td>
<p>
- Using the relation: x = m - s * sqrt(2) * erfc_inv(2*p)
+ Using the relation: x = m - s * sqrt(2) * <a class="link" href="../../../special/sf_erf/error_inv.html" title="Error Function Inverses">erfc_inv</a>(2*p)
</p>
</td>
</tr>
@@ -220,7 +220,7 @@
</td>
<td>
<p>
- Using the relation: x = m + s * sqrt(2) * erfc_inv(2*p)
+ Using the relation: x = m + s * sqrt(2) * <a class="link" href="../../../special/sf_erf/error_inv.html" title="Error Function Inverses">erfc_inv</a>(2*p)
</p>
</td>
</tr>
@@ -290,7 +290,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Pareto Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="normal_dist.html" title="Normal (Gaussian) Distribution">
<link rel="next" href="poisson_dist.html" title="Poisson Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.pareto"></a><a href="pareto.html" title="Pareto Distribution"> Pareto
+<a name="math_toolkit.dist.dist_ref.dists.pareto"></a><a class="link" href="pareto.html" title="Pareto Distribution"> Pareto
Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">pareto_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">pareto_distribution</span><span class="special"><></span> <span class="identifier">pareto</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">pareto_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -86,13 +86,13 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/pareto_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.related_distributions"></a><h5>
-<a name="id638045"></a>
- <a href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.related_distributions">Related
+<a name="id665570"></a>
+ <a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.related_distributions">Related
distributions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.pareto.member_functions"></a><h5>
-<a name="id638069"></a>
- <a href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.member_functions">Member
+<a name="id665595"></a>
+ <a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">pareto_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">location</span> <span class="special">=</span> <span class="number">1</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">shape</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -104,7 +104,7 @@
</p>
<p>
Requires that the <span class="emphasis"><em>shape</em></span> and <span class="emphasis"><em>scale</em></span>
- parameters are both greater than zero, otherwise calls domain_error.
+ parameters are both greater than zero, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">location</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -117,38 +117,38 @@
Returns the <span class="emphasis"><em>shape</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors"></a><h5>
-<a name="id638300"></a>
- <a href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors">Non-member
+<a name="id665825"></a>
+ <a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The supported domain of the random variable is [location, ∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.accuracy"></a><h5>
-<a name="id638472"></a>
- Accuracy
+<a name="id665997"></a>
+ <a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.accuracy">Accuracy</a>
</h5>
<p>
The pareto distribution is implemented in terms of the standard library
- <code class="computeroutput"><span class="identifier">exp</span></code> functions plus expm1 and as such
+ <code class="computeroutput"><span class="identifier">exp</span></code> functions plus <a class="link" href="../../../special/powers/expm1.html" title="expm1">expm1</a> and as such
should have very low error rates except when probability is very close
to unity.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.implementation"></a><h5>
-<a name="id638526"></a>
- Implementation
+<a name="id666051"></a>
+ <a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.implementation">Implementation</a>
</h5>
<p>
In the following table α is the shape parameter of the distribution, and
@@ -315,8 +315,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.pareto.references"></a><h5>
-<a name="id638882"></a>
- References
+<a name="id666407"></a>
+ <a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="http://en.wikipedia.org/wiki/pareto_distribution" target="_top">Pareto
@@ -329,7 +329,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Poisson Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="pareto.html" title="Pareto Distribution">
<link rel="next" href="rayleigh.html" title="Rayleigh Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.poisson_dist"></a><a href="poisson_dist.html" title="Poisson Distribution"> Poisson
+<a name="math_toolkit.dist.dist_ref.dists.poisson_dist"></a><a class="link" href="poisson_dist.html" title="Poisson Distribution"> Poisson
Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">poisson_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">poisson_distribution</span><span class="special"><></span> <span class="identifier">poisson</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">poisson_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -110,10 +110,10 @@
</p>
<p>
This behaviour can be changed so that the quantile functions are
- rounded differently, or even return a real-valued result using Policies. It is
- strongly recommended that you read the tutorial <a href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ rounded differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>. It is
+ strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
Quantiles of Discrete Distributions</a> before using the quantile
- function on the Poisson distribution. The <a href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ function on the Poisson distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
docs</a> describe how to change the rounding policy for these
distributions.
</p>
@@ -122,8 +122,8 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions"></a><h5>
-<a name="id639637"></a>
- <a href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions">Member
+<a name="id667162"></a>
+ <a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">poisson_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">mean</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -137,33 +137,33 @@
Returns the <span class="emphasis"><em>mean</em></span> of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors"></a><h5>
-<a name="id639761"></a>
- <a href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors">Non-member
+<a name="id667286"></a>
+ <a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0, ∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy"></a><h5>
-<a name="id639930"></a>
- Accuracy
+<a name="id667455"></a>
+ <a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy">Accuracy</a>
</h5>
<p>
The Poisson distribution is implemented in terms of the incomplete gamma
- functions gamma_p
- and gamma_q
+ functions <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>
+ and <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
and as such should have low error rates: but refer to the documentation
of those functions for more information. The quantile and its complement
use the inverse gamma functions and are therefore probably slightly less
@@ -171,8 +171,8 @@
using an iterative method with a lower tolerance to avoid excessive computation.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.implementation"></a><h5>
-<a name="id639979"></a>
- Implementation
+<a name="id667504"></a>
+ <a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.implementation">Implementation</a>
</h5>
<p>
In the following table λ is the mean of the distribution, <span class="emphasis"><em>k</em></span>
@@ -217,7 +217,7 @@
</td>
<td>
<p>
- Using the relation: p = Γ(k+1, λ) / k! = gamma_q(k+1,
+ Using the relation: p = Γ(k+1, λ) / k! = <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>(k+1,
λ)
</p>
</td>
@@ -230,7 +230,7 @@
</td>
<td>
<p>
- Using the relation: q = gamma_p(k+1,
+ Using the relation: q = <a class="link" href="../../../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>(k+1,
λ)
</p>
</td>
@@ -243,7 +243,7 @@
</td>
<td>
<p>
- Using the relation: k = gamma_q_inva(λ,
+ Using the relation: k = <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inva</a>(λ,
p) - 1
</p>
</td>
@@ -256,7 +256,7 @@
</td>
<td>
<p>
- Using the relation: k = gamma_p_inva(λ,
+ Using the relation: k = <a class="link" href="../../../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inva</a>(λ,
q) - 1
</p>
</td>
@@ -327,7 +327,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Rayleigh Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="poisson_dist.html" title="Poisson Distribution">
<link rel="next" href="students_t_dist.html" title="Students t Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.rayleigh"></a><a href="rayleigh.html" title="Rayleigh Distribution"> Rayleigh
+<a name="math_toolkit.dist.dist_ref.dists.rayleigh"></a><a class="link" href="rayleigh.html" title="Rayleigh Distribution"> Rayleigh
Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">rayleigh_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">rayleigh_distribution</span><span class="special"><></span> <span class="identifier">rayleigh</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">rayleigh_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -86,8 +86,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/rayleigh_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions"></a><h5>
-<a name="id640918"></a>
- <a href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions">Related
+<a name="id668443"></a>
+ <a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions">Related
distributions</a>
</h5>
<p>
@@ -102,8 +102,8 @@
distribution</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.member_functions"></a><h5>
-<a name="id640994"></a>
- <a href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.member_functions">Member
+<a name="id668519"></a>
+ <a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">rayleigh_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">sigma</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -113,7 +113,7 @@
distribution</a> with σ <span class="emphasis"><em>sigma</em></span>.
</p>
<p>
- Requires that the σ parameter is greater than zero, otherwise calls domain_error.
+ Requires that the σ parameter is greater than zero, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">sigma</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -121,28 +121,28 @@
Returns the <span class="emphasis"><em>sigma</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors"></a><h5>
-<a name="id641140"></a>
- <a href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors">Non-member
+<a name="id668666"></a>
+ <a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0, max_value].
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.accuracy"></a><h5>
-<a name="id641311"></a>
- Accuracy
+<a name="id668836"></a>
+ <a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.accuracy">Accuracy</a>
</h5>
<p>
The Rayleigh distribution is implemented in terms of the standard library
@@ -151,8 +151,8 @@
using NTL RR type with 150-bit accuracy, about 50 decimal digits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.implementation"></a><h5>
-<a name="id641367"></a>
- Implementation
+<a name="id668893"></a>
+ <a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.implementation">Implementation</a>
</h5>
<p>
In the following table σ is the sigma parameter of the distribution, <span class="emphasis"><em>x</em></span>
@@ -197,7 +197,7 @@
</td>
<td>
<p>
- Using the relation: p = 1 - exp(-x<sup>2</sup>/2) σ<sup>2</sup> = -expm1(-x<sup>2</sup>/2)
+ Using the relation: p = 1 - exp(-x<sup>2</sup>/2) σ<sup>2</sup> = -<a class="link" href="../../../special/powers/expm1.html" title="expm1">expm1</a>(-x<sup>2</sup>/2)
σ<sup>2</sup>
</p>
</td>
@@ -223,7 +223,7 @@
<td>
<p>
Using the relation: x = sqrt(-2 * σ <sup>2</sup>) * log(1 - p)) = sqrt(-2
- * σ <sup>2</sup>) * log1p(-p))
+ * σ <sup>2</sup>) * <a class="link" href="../../../special/powers/log1p.html" title="log1p">log1p</a>(-p))
</p>
</td>
</tr>
@@ -320,8 +320,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.references"></a><h5>
-<a name="id641757"></a>
- References
+<a name="id669282"></a>
+ <a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>http://en.wikipedia.org/wiki/Rayleigh_distribution</li>
@@ -333,7 +333,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Students t Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="rayleigh.html" title="Rayleigh Distribution">
<link rel="next" href="triangular_dist.html" title="Triangular Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.students_t_dist"></a><a href="students_t_dist.html" title="Students t Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.students_t_dist"></a><a class="link" href="students_t_dist.html" title="Students t Distribution">
Students t Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">students_t_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">students_t_distribution</span><span class="special"><></span> <span class="identifier">students_t</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">students_t_distribution</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">RealType</span> <span class="identifier">value_type</span><span class="special">;</span>
@@ -97,8 +97,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/students_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions"></a><h5>
-<a name="id642560"></a>
- <a href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions">Member
+<a name="id670079"></a>
+ <a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">students_t_distribution</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">v</span><span class="special">);</span>
@@ -108,7 +108,7 @@
of freedom.
</p>
<p>
- Requires v > 0, otherwise calls domain_error.
+ Requires v > 0, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
Note that non-integral degrees of freedom are supported, and meaningful
under certain circumstances.
</p>
@@ -174,45 +174,45 @@
Engineering Statistics Handbook</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors"></a><h5>
-<a name="id642946"></a>
- <a href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors">Non-member
+<a name="id670465"></a>
+ <a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [-∞, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.examples"></a><h5>
-<a name="id643115"></a>
- Examples
+<a name="id670634"></a>
+ <a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.examples">Examples</a>
</h5>
<p>
- Various worked examples
+ Various <a class="link" href="../../stat_tut/weg/st_eg.html" title="Student's t Distribution Examples">worked examples</a>
are available illustrating the use of the Student's t distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy"></a><h5>
-<a name="id643156"></a>
- Accuracy
+<a name="id670675"></a>
+ <a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy">Accuracy</a>
</h5>
<p>
- The normal distribution is implemented in terms of the <a href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">incomplete
- beta function</a> and <a href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">it's
+ The normal distribution is implemented in terms of the <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">incomplete
+ beta function</a> and <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">it's
inverses</a>, refer to accuracy data on those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.implementation"></a><h5>
-<a name="id643204"></a>
- Implementation
+<a name="id670724"></a>
+ <a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>v</em></span> is the degrees of freedom
@@ -246,7 +246,7 @@
<td>
<p>
Using the relation: pdf = (v / (v + t<sup>2</sup>))<sup>(1+v)/2 </sup> / (sqrt(v) *
- beta(v/2,
+ <a class="link" href="../../../special/sf_beta/beta_function.html" title="Beta">beta</a>(v/2,
0.5))
</p>
</td>
@@ -271,11 +271,11 @@
where z is given by:
</p>
<p>
- ibeta(v
+ <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>(v
/ 2, 0.5, v / (v + t<sup>2</sup>)) / 2 <span class="emphasis"><em>iff v < 2t<sup>2</sup></em></span>
</p>
<p>
- ibetac(0.5,
+ <a class="link" href="../../../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>(0.5,
v / 2, t<sup>2 </sup> / (v + t<sup>2</sup>) / 2 <span class="emphasis"><em>otherwise</em></span>
</p>
</td>
@@ -306,7 +306,7 @@
where:
</p>
<p>
- x = ibeta_inv(v
+ x = <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>(v
/ 2, 0.5, 2 * min(p, q))
</p>
<p>
@@ -314,7 +314,7 @@
</p>
<p>
The quantities <span class="emphasis"><em>x</em></span> and <span class="emphasis"><em>y</em></span>
- are both returned by ibeta_inv
+ are both returned by <a class="link" href="../../../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>
without the subtraction implied above.
</p>
</td>
@@ -409,7 +409,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Triangular Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="students_t_dist.html" title="Students t Distribution">
<link rel="next" href="weibull.html" title="Weibull Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.triangular_dist"></a><a href="triangular_dist.html" title="Triangular Distribution">
+<a name="math_toolkit.dist.dist_ref.dists.triangular_dist"></a><a class="link" href="triangular_dist.html" title="Triangular Distribution">
Triangular Distribution</a>
</h5></div></div></div>
<p>
@@ -35,12 +35,12 @@
</p>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">triangular_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">triangular_distribution</span><span class="special"><></span> <span class="identifier">triangular</span><span class="special">;</span>
- <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+ <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">triangular_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -128,8 +128,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/triangular_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions"></a><h5>
-<a name="id644549"></a>
- <a href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions">Member
+<a name="id672066"></a>
+ <a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">triangular_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">lower</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">mode</span> <span class="special">=</span> <span class="number">0</span> <span class="identifier">RealType</span> <span class="identifier">upper</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -142,7 +142,7 @@
<p>
Requires that the <span class="emphasis"><em>lower</em></span>, <span class="emphasis"><em>mode</em></span>
and <span class="emphasis"><em>upper</em></span> parameters are all finite, otherwise calls
- domain_error.
+ <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">lower</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -163,29 +163,29 @@
(default+1).
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors"></a><h5>
-<a name="id644853"></a>
- <a href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors">Non-member
+<a name="id672371"></a>
+ <a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is \lowerto \upper, and the supported
range is lower <= x <= upper.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy"></a><h5>
-<a name="id645025"></a>
- Accuracy
+<a name="id672542"></a>
+ <a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy">Accuracy</a>
</h5>
<p>
The triangular distribution is implemented with simple arithmetic operators
@@ -193,8 +193,8 @@
with arguments nearing the extremes of zero and unity.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.implementation"></a><h5>
-<a name="id645057"></a>
- Implementation
+<a name="id672575"></a>
+ <a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.implementation">Implementation</a>
</h5>
<p>
In the following table, a is the <span class="emphasis"><em>lower</em></span> parameter
@@ -378,8 +378,8 @@
Calculate and plot probability distributions</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.references"></a><h5>
-<a name="id645447"></a>
- References
+<a name="id672965"></a>
+ <a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="http://en.wikipedia.org/wiki/Triangular_distribution" target="_top">Wikpedia
@@ -405,7 +405,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Uniform Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="weibull.html" title="Weibull Distribution">
<link rel="next" href="../dist_algorithms.html" title="Distribution Algorithms">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.uniform_dist"></a><a href="uniform_dist.html" title="Uniform Distribution"> Uniform
+<a name="math_toolkit.dist.dist_ref.dists.uniform_dist"></a><a class="link" href="uniform_dist.html" title="Uniform Distribution"> Uniform
Distribution</a>
</h5></div></div></div>
<p>
@@ -35,12 +35,12 @@
</p>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">uniform_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">uniform_distribution</span><span class="special"><></span> <span class="identifier">uniform</span><span class="special">;</span>
- <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+ <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">uniform_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -117,8 +117,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/uniform_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions"></a><h5>
-<a name="id648012"></a>
- <a href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions">Member
+<a name="id675529"></a>
+ <a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">uniform_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">lower</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">upper</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -131,7 +131,7 @@
<p>
Requires that the <span class="emphasis"><em>lower</em></span> and <span class="emphasis"><em>upper</em></span>
parameters are both finite; otherwise if infinity or NaN then calls
- domain_error.
+ <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">lower</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -144,37 +144,37 @@
Returns the <span class="emphasis"><em>upper</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors"></a><h5>
-<a name="id648244"></a>
- <a href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors">Non-member
+<a name="id675761"></a>
+ <a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is any finite value, but the supported
range is only <span class="emphasis"><em>lower</em></span> <= x <= <span class="emphasis"><em>upper</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy"></a><h5>
-<a name="id648422"></a>
- Accuracy
+<a name="id675940"></a>
+ <a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy">Accuracy</a>
</h5>
<p>
The uniform distribution is implemented with simple arithmetic operators
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.implementation"></a><h5>
-<a name="id648453"></a>
- Implementation
+<a name="id675970"></a>
+ <a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.implementation">Implementation</a>
</h5>
<p>
In the following table a is the <span class="emphasis"><em>lower</em></span> parameter
@@ -337,8 +337,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.references"></a><h5>
-<a name="id648762"></a>
- References
+<a name="id676279"></a>
+ <a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="http://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29" target="_top">Wikpedia
@@ -352,7 +352,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Weibull Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="triangular_dist.html" title="Triangular Distribution">
<link rel="next" href="uniform_dist.html" title="Uniform Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.weibull"></a><a href="weibull.html" title="Weibull Distribution"> Weibull
+<a name="math_toolkit.dist.dist_ref.dists.weibull"></a><a class="link" href="weibull.html" title="Weibull Distribution"> Weibull
Distribution</a>
</h5></div></div></div>
<p>
@@ -36,12 +36,12 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
- <span class="keyword">class</span> Policy <span class="special">=</span> policies::policy<> <span class="special">></span>
+ <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a> <span class="special">=</span> <a class="link" href="../../../policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy<></a> <span class="special">></span>
<span class="keyword">class</span> <span class="identifier">weibull_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">weibull_distribution</span><span class="special"><></span> <span class="identifier">weibull</span><span class="special">;</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="keyword">class</span> <span class="identifier">weibull_distribution</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
@@ -100,8 +100,8 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/weibull_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.related_distributions"></a><h5>
-<a name="id646238"></a>
- <a href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.related_distributions">Related
+<a name="id673755"></a>
+ <a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.related_distributions">Related
distributions</a>
</h5>
<p>
@@ -114,8 +114,8 @@
Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.member_functions"></a><h5>
-<a name="id646305"></a>
- <a href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.member_functions">Member
+<a name="id673823"></a>
+ <a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">weibull_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">shape</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">scale</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
@@ -127,7 +127,7 @@
</p>
<p>
Requires that the <span class="emphasis"><em>shape</em></span> and <span class="emphasis"><em>scale</em></span>
- parameters are both greater than zero, otherwise calls domain_error.
+ parameters are both greater than zero, otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">shape</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
</pre>
@@ -140,38 +140,38 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors"></a><h5>
-<a name="id646524"></a>
- <a href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors">Non-member
+<a name="id674042"></a>
+ <a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
- All the <a href="../nmp.html" title="Non-Member Properties">usual non-member
+ All the <a class="link" href="../nmp.html" title="Non-Member Properties">usual non-member
accessor functions</a> that are generic to all distributions are supported:
- Cumulative Distribution Function,
- Probability Density Function, Quantile, <a href="../nmp.html#math.dist.hazard">Hazard
- Function</a>, Cumulative Hazard Function,
- mean, median,
- mode, variance,
- standard deviation, skewness,
- kurtosis, kurtosis_excess,
- range and support.
+ <a class="link" href="../nmp.html#math.dist.cdf">Cumulative Distribution Function</a>,
+ <a class="link" href="../nmp.html#math.dist.pdf">Probability Density Function</a>, <a class="link" href="../nmp.html#math.dist.quantile">Quantile</a>, <a class="link" href="../nmp.html#math.dist.hazard">Hazard
+ Function</a>, <a class="link" href="../nmp.html#math.dist.chf">Cumulative Hazard Function</a>,
+ <a class="link" href="../nmp.html#math.dist.mean">mean</a>, <a class="link" href="../nmp.html#math.dist.median">median</a>,
+ <a class="link" href="../nmp.html#math.dist.mode">mode</a>, <a class="link" href="../nmp.html#math.dist.variance">variance</a>,
+ <a class="link" href="../nmp.html#math.dist.sd">standard deviation</a>, <a class="link" href="../nmp.html#math.dist.skewness">skewness</a>,
+ <a class="link" href="../nmp.html#math.dist.kurtosis">kurtosis</a>, <a class="link" href="../nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>,
+ <a class="link" href="../nmp.html#math.dist.range">range</a> and <a class="link" href="../nmp.html#math.dist.support">support</a>.
</p>
<p>
The domain of the random variable is [0, ∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.accuracy"></a><h5>
-<a name="id646696"></a>
- Accuracy
+<a name="id674214"></a>
+ <a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.accuracy">Accuracy</a>
</h5>
<p>
The Weibull distribution is implemented in terms of the standard library
- <code class="computeroutput"><span class="identifier">log</span></code> and <code class="computeroutput"><span class="identifier">exp</span></code> functions plus expm1
- and log1p and
+ <code class="computeroutput"><span class="identifier">log</span></code> and <code class="computeroutput"><span class="identifier">exp</span></code> functions plus <a class="link" href="../../../special/powers/expm1.html" title="expm1">expm1</a>
+ and <a class="link" href="../../../special/powers/log1p.html" title="log1p">log1p</a> and
as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.implementation"></a><h5>
-<a name="id646768"></a>
- Implementation
+<a name="id674286"></a>
+ <a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.implementation">Implementation</a>
</h5>
<p>
In the following table α is the shape parameter of the distribution, β is
@@ -216,7 +216,7 @@
</td>
<td>
<p>
- Using the relation: p = -expm1(-(x/β)<sup>α</sup>)
+ Using the relation: p = -<a class="link" href="../../../special/powers/expm1.html" title="expm1">expm1</a>(-(x/β)<sup>α</sup>)
</p>
</td>
</tr>
@@ -240,7 +240,7 @@
</td>
<td>
<p>
- Using the relation: x = β * (-log1p(-p))<sup>1/α</sup>
+ Using the relation: x = β * (-<a class="link" href="../../../special/powers/log1p.html" title="log1p">log1p</a>(-p))<sup>1/α</sup>
</p>
</td>
</tr>
@@ -337,8 +337,8 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.weibull.references"></a><h5>
-<a name="id647154"></a>
- References
+<a name="id674671"></a>
+ <a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>http://en.wikipedia.org/wiki/Weibull_distribution</li>
@@ -352,7 +352,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Non-Member Properties</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="next" href="dists.html" title="Distributions">
@@ -24,171 +24,171 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.dist_ref.nmp"></a> Non-Member Properties
+<a name="math_toolkit.dist.dist_ref.nmp"></a><a class="link" href="nmp.html" title="Non-Member Properties"> Non-Member Properties</a>
</h4></div></div></div>
<p>
Properties that are common to all distributions are accessed via non-member
getter functions. This allows more of these functions to be added over
time as the need arises. Unfortunately the literature uses many different
and confusing names to refer to a rather small number of actual concepts;
- refer to the concept index to find
+ refer to the <a class="link" href="nmp.html#concept_index">concept index</a> to find
the property you want by the name you are most familiar with. Or use the
- function index to go straight to
+ <a class="link" href="nmp.html#function_index">function index</a> to go straight to
the function you want if you already know its name.
</p>
<a name="function_index"></a><a name="math_toolkit.dist.dist_ref.nmp.function_index"></a><h5>
-<a name="id595589"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.function_index">Function
+<a name="id623060"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.function_index">Function
Index</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
-cdf.
+<a class="link" href="nmp.html#math.dist.cdf">cdf</a>.
</li>
<li>
-cdf complement.
+<a class="link" href="nmp.html#math.dist.ccdf">cdf complement</a>.
</li>
<li>
-chf.
+<a class="link" href="nmp.html#math.dist.chf">chf</a>.
</li>
<li>
-hazard.
+<a class="link" href="nmp.html#math.dist.hazard">hazard</a>.
</li>
<li>
-kurtosis.
+<a class="link" href="nmp.html#math.dist.kurtosis">kurtosis</a>.
</li>
-<li>kurtosis_excess</li>
+<li><a class="link" href="nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a></li>
<li>
-mean.
+<a class="link" href="nmp.html#math.dist.mean">mean</a>.
</li>
<li>
-median.
+<a class="link" href="nmp.html#math.dist.median">median</a>.
</li>
<li>
-mode.
+<a class="link" href="nmp.html#math.dist.mode">mode</a>.
</li>
<li>
-pdf.
+<a class="link" href="nmp.html#math.dist.pdf">pdf</a>.
</li>
<li>
-range.
+<a class="link" href="nmp.html#math.dist.range">range</a>.
</li>
<li>
-quantile.
+<a class="link" href="nmp.html#math.dist.quantile">quantile</a>.
</li>
<li>
-quantile from the complement.
+<a class="link" href="nmp.html#math.dist.quantile_c">quantile from the complement</a>.
</li>
<li>
-skewness.
+<a class="link" href="nmp.html#math.dist.skewness">skewness</a>.
</li>
<li>
-standard_deviation.
+<a class="link" href="nmp.html#math.dist.sd">standard_deviation</a>.
</li>
<li>
-support.
+<a class="link" href="nmp.html#math.dist.support">support</a>.
</li>
<li>
-variance.
+<a class="link" href="nmp.html#math.dist.variance">variance</a>.
</li>
</ul></div>
<a name="concept_index"></a><a name="math_toolkit.dist.dist_ref.nmp.conceptual_index"></a><h5>
-<a name="id595847"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.conceptual_index">Conceptual
+<a name="id623318"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.conceptual_index">Conceptual
Index</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
-<a href="nmp.html#math.dist.ccdf">Complement of the Cumulative Distribution
+<a class="link" href="nmp.html#math.dist.ccdf">Complement of the Cumulative Distribution
Function</a>.
</li>
<li>
-Cumulative Distribution Function.
+<a class="link" href="nmp.html#math.dist.cdf">Cumulative Distribution Function</a>.
</li>
<li>
-Cumulative Hazard Function.
+<a class="link" href="nmp.html#math.dist.chf">Cumulative Hazard Function</a>.
</li>
<li>
-Inverse Cumulative Distribution Function.
+<a class="link" href="nmp.html#cdf_inv">Inverse Cumulative Distribution Function</a>.
</li>
<li>
-Inverse Survival Function.
+<a class="link" href="nmp.html#survival_inv">Inverse Survival Function</a>.
</li>
-<li>Hazard Function</li>
+<li><a class="link" href="nmp.html#math.dist.hazard">Hazard Function</a></li>
<li>
-Lower Critical Value.
+<a class="link" href="nmp.html#lower_critical">Lower Critical Value</a>.
</li>
<li>
-kurtosis.
+<a class="link" href="nmp.html#math.dist.kurtosis">kurtosis</a>.
</li>
-<li>kurtosis_excess</li>
+<li><a class="link" href="nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a></li>
<li>
-mean.
+<a class="link" href="nmp.html#math.dist.mean">mean</a>.
</li>
<li>
-median.
+<a class="link" href="nmp.html#math.dist.median">median</a>.
</li>
<li>
-mode.
+<a class="link" href="nmp.html#math.dist.mode">mode</a>.
</li>
<li>
-P.
+<a class="link" href="nmp.html#cdfPQ">P</a>.
</li>
<li>
-Percent Point Function.
+<a class="link" href="nmp.html#percent">Percent Point Function</a>.
</li>
<li>
-Probability Density Function.
+<a class="link" href="nmp.html#math.dist.pdf">Probability Density Function</a>.
</li>
<li>
-Probability Mass Function.
+<a class="link" href="nmp.html#pmf">Probability Mass Function</a>.
</li>
<li>
-range.
+<a class="link" href="nmp.html#math.dist.range">range</a>.
</li>
<li>
-Q.
+<a class="link" href="nmp.html#cdfPQ">Q</a>.
</li>
<li>
-Quantile.
+<a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</li>
<li>
-<a href="nmp.html#math.dist.quantile_c">Quantile from the complement of
+<a class="link" href="nmp.html#math.dist.quantile_c">Quantile from the complement of
the probability</a>.
</li>
<li>
-skewness.
+<a class="link" href="nmp.html#math.dist.skewness">skewness</a>.
</li>
-<li>standard deviation</li>
+<li><a class="link" href="nmp.html#math.dist.sd">standard deviation</a></li>
<li>
-Survival Function.
+<a class="link" href="nmp.html#survival">Survival Function</a>.
</li>
<li>
-support.
+<a class="link" href="nmp.html#math.dist.support">support</a>.
</li>
<li>
-Upper Critical Value.
+<a class="link" href="nmp.html#upper_critical">Upper Critical Value</a>.
</li>
<li>
-variance.
+<a class="link" href="nmp.html#math.dist.variance">variance</a>.
</li>
</ul></div>
<a name="math.dist.cdf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function"></a><h5>
-<a name="id596202"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function">Cumulative
+<a name="id623674"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function">Cumulative
Distribution Function</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">cdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">cdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
</pre>
<p>
- The Cumulative Distribution Function
+ The <a class="link" href="nmp.html#math.dist.cdf">Cumulative Distribution Function</a>
is the probability that the variable takes a value less than or equal to
- x. It is equivalent to the integral from -infinity to x of the <a href="nmp.html#math.dist.pdf">Probability
+ x. It is equivalent to the integral from -infinity to x of the <a class="link" href="nmp.html#math.dist.pdf">Probability
Density Function</a>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the random variable is outside the defined range for the distribution.
</p>
<p>
@@ -198,25 +198,25 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cdf.png" alt="cdf"></span>
</p>
<a name="math.dist.ccdf"></a><a name="math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function"></a><h5>
-<a name="id596450"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function">Complement
+<a name="id623921"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function">Complement
of the Cumulative Distribution Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Distribution</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">cdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Unspecified-Complement-Type</em></span><span class="special"><</span><span class="identifier">Distribution</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">>&</span> <span class="identifier">comp</span><span class="special">);</span>
</pre>
<p>
- The complement of the <a href="nmp.html#math.dist.cdf">Cumulative Distribution
+ The complement of the <a class="link" href="nmp.html#math.dist.cdf">Cumulative Distribution
Function</a> is the probability that the variable takes a value greater
- than x. It is equivalent to the integral from x to infinity of the Probability Density Function, or 1 minus
- the Cumulative Distribution Function
+ than x. It is equivalent to the integral from x to infinity of the <a class="link" href="nmp.html#math.dist.pdf">Probability Density Function</a>, or 1 minus
+ the <a class="link" href="nmp.html#math.dist.cdf">Cumulative Distribution Function</a>
of x.
</p>
<p>
This is also known as the survival function.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the random variable is outside the defined range for the distribution.
</p>
<p>
@@ -235,22 +235,22 @@
<span class="inlinemediaobject"><img src="../../../../graphs/survival.png" alt="survival"></span>
</p>
<p>
- See why complements? for why the
+ See <a class="link" href="../stat_tut/overview.html#why_complements">why complements?</a> for why the
complement is useful and when it should be used.
</p>
<a name="math.dist.hazard"></a><a name="math_toolkit.dist.dist_ref.nmp.hazard_function"></a><h5>
-<a name="id596866"></a>
- Hazard Function
+<a name="id624337"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.hazard_function">Hazard Function</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">hazard</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">hazard</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
</pre>
<p>
- Returns the Hazard Function of
+ Returns the <a class="link" href="nmp.html#math.dist.hazard">Hazard Function</a> of
<span class="emphasis"><em>x</em></span> and distibution <span class="emphasis"><em>dist</em></span>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the random variable is outside the defined range for the distribution.
</p>
<p>
@@ -267,19 +267,19 @@
</p></td></tr>
</table></div>
<a name="math.dist.chf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function"></a><h5>
-<a name="id597120"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function">Cumulative
+<a name="id624590"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function">Cumulative
Hazard Function</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">chf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">chf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
</pre>
<p>
- Returns the Cumulative Hazard Function
+ Returns the <a class="link" href="nmp.html#math.dist.chf">Cumulative Hazard Function</a>
of <span class="emphasis"><em>x</em></span> and distibution <span class="emphasis"><em>dist</em></span>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the random variable is outside the defined range for the distribution.
</p>
<p>
@@ -295,65 +295,65 @@
</p></td></tr>
</table></div>
<a name="math.dist.mean"></a><a name="math_toolkit.dist.dist_ref.nmp.mean"></a><h5>
-<a name="id597374"></a>
- mean
+<a name="id624845"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mean">mean</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">mean</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">mean</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the mean of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined mean (for example the Cauchy
distribution).
</p>
<a name="math.dist.median"></a><a name="math_toolkit.dist.dist_ref.nmp.median"></a><h5>
-<a name="id597546"></a>
- median
+<a name="id625017"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.median">median</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">median</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">median</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the median of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math.dist.mode"></a><a name="math_toolkit.dist.dist_ref.nmp.mode"></a><h5>
-<a name="id597704"></a>
- mode
+<a name="id625175"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mode">mode</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">mode</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">mode</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the mode of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined mode.
</p>
<a name="math.dist.pdf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_density_function"></a><h5>
-<a name="id597868"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_density_function">Probability
+<a name="id625339"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_density_function">Probability
Density Function</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">pdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">pdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
</pre>
<p>
For a continuous function, the probability density function (pdf) returns
the probability that the variate has the value x. Since for continuous
distributions the probability at a single point is actually zero, the probability
is better expressed as the integral of the pdf between two points: see
- the Cumulative Distribution Function.
+ the <a class="link" href="nmp.html#math.dist.cdf">Cumulative Distribution Function</a>.
</p>
<p>
For a discrete distribution, the pdf is the probability that the variate
takes the value x.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the random variable is outside the defined range for the distribution.
</p>
<p>
@@ -363,24 +363,24 @@
<span class="inlinemediaobject"><img src="../../../../graphs/pdf.png" alt="pdf"></span>
</p>
<a name="math.dist.range"></a><a name="math_toolkit.dist.dist_ref.nmp.range"></a><h5>
-<a name="id598111"></a>
- range
+<a name="id625583"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.range">range</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">></span> <span class="identifier">range</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">></span> <span class="identifier">range</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the valid range of the random variable over distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math.dist.quantile"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile"></a><h5>
-<a name="id598307"></a>
- Quantile
+<a name="id625778"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile">Quantile</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">quantile</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">p</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">quantile</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">p</span><span class="special">);</span>
</pre>
<p>
- The quantile is best viewed as the inverse of the <a href="nmp.html#math.dist.cdf">Cumulative
+ The quantile is best viewed as the inverse of the <a class="link" href="nmp.html#math.dist.cdf">Cumulative
Distribution Function</a>, it returns a value <span class="emphasis"><em>x</em></span>
such that <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">dist</span><span class="special">,</span> <span class="identifier">x</span><span class="special">)</span> <span class="special">==</span>
<span class="identifier">p</span></code>.
@@ -391,8 +391,8 @@
the <span class="emphasis"><em>lower critical value</em></span> of a distribution.
</p>
<p>
- This function returns a domain_error
- if the probability lies outside [0,1]. The function may return an overflow_error if there is no finite value
+ This function returns a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
+ if the probability lies outside [0,1]. The function may return an <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a> if there is no finite value
that has the specified probability.
</p>
<p>
@@ -402,18 +402,18 @@
<span class="inlinemediaobject"><img src="../../../../graphs/quantile.png" alt="quantile"></span>
</p>
<a name="math.dist.quantile_c"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_"></a><h5>
-<a name="id598623"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_">Quantile
+<a name="id626095"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_">Quantile
from the complement of the probability.</a>
</h5>
<p>
- complements
+ <a class="link" href="../stat_tut/overview.html#complements">complements</a>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Distribution</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">quantile</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Unspecified-Complement-Type</em></span><span class="special"><</span><span class="identifier">Distribution</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">>&</span> <span class="identifier">comp</span><span class="special">);</span>
</pre>
<p>
- This is the inverse of the <a href="nmp.html#math.dist.ccdf">Complement of
+ This is the inverse of the <a class="link" href="nmp.html#math.dist.ccdf">Complement of
the Cumulative Distribution Function</a>. It is calculated by wrapping
the arguments in a call to the quantile function in a call to <span class="emphasis"><em>complement</em></span>.
For example:
@@ -429,7 +429,7 @@
where <span class="emphasis"><em>q</em></span> is complement of the probability.
</p>
<p>
- Why complements?
+ <a class="link" href="../stat_tut/overview.html#why_complements">Why complements?</a>
</p>
<p>
This function is also called the inverse survival function, and is the
@@ -437,8 +437,8 @@
distribution.
</p>
<p>
- This function returns a domain_error
- if the probablity lies outside [0,1]. The function may return an overflow_error if there is no finite value
+ This function returns a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
+ if the probablity lies outside [0,1]. The function may return an <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a> if there is no finite value
that has the specified probability.
</p>
<p>
@@ -448,26 +448,26 @@
<span class="inlinemediaobject"><img src="../../../../graphs/survival_inv.png" alt="survival_inv"></span>
</p>
<a name="math.dist.sd"></a><a name="math_toolkit.dist.dist_ref.nmp.standard_deviation"></a><h5>
-<a name="id599102"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.standard_deviation">Standard
+<a name="id626573"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.standard_deviation">Standard
Deviation</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">standard_deviation</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">standard_deviation</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the standard deviation of distribution <span class="emphasis"><em>dist</em></span>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined standard deviation.
</p>
<a name="math.dist.support"></a><a name="math_toolkit.dist.dist_ref.nmp.support"></a><h5>
-<a name="id599278"></a>
- support
+<a name="id626749"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.support">support</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">></span> <span class="identifier">support</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">></span> <span class="identifier">support</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the supported range of random variable over the distribution <span class="emphasis"><em>dist</em></span>.
@@ -480,39 +480,39 @@
where the pdf is zero, and the cdf zero or unity.
</p>
<a name="math.dist.variance"></a><a name="math_toolkit.dist.dist_ref.nmp.variance"></a><h5>
-<a name="id599490"></a>
- Variance
+<a name="id626961"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.variance">Variance</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">variance</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">variance</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the variance of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined variance.
</p>
<a name="math.dist.skewness"></a><a name="math_toolkit.dist.dist_ref.nmp.skewness"></a><h5>
-<a name="id599663"></a>
- Skewness
+<a name="id627134"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.skewness">Skewness</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">skewness</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">skewness</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the skewness of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined skewness.
</p>
<a name="math.dist.kurtosis"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis"></a><h5>
-<a name="id599837"></a>
- Kurtosis
+<a name="id627308"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis">Kurtosis</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">kurtosis</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">kurtosis</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the 'proper' kurtosis (normalized fourth moment) of the distribution
@@ -543,19 +543,19 @@
of a normal distribution is zero.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined kurtosis.
</p>
<p>
'Proper' kurtosis can have a value from zero to + infinity.
</p>
<a name="math.dist.kurtosis_excess"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis_excess"></a><h5>
-<a name="id600135"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis_excess">Kurtosis
+<a name="id627606"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis_excess">Kurtosis
excess</a>
</h5>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">></span>
-<span class="identifier">RealType</span> <span class="identifier">kurtosis_excess</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> Policy<span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">RealType</span> <span class="identifier">kurtosis_excess</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
</pre>
<p>
Returns the kurtosis excess of the distribution <span class="emphasis"><em>dist</em></span>.
@@ -573,7 +573,7 @@
so that the kurtosis excess of a normal distribution is zero.
</p>
<p>
- This function may return a domain_error
+ This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined kurtosis excess.
</p>
<p>
@@ -585,90 +585,90 @@
The kurtosis excess of a normal distribution is zero.
</p>
<a name="cdfPQ"></a><a name="math_toolkit.dist.dist_ref.nmp.p_and_q"></a><h5>
-<a name="id600395"></a>
- P and Q
+<a name="id627866"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.p_and_q">P and Q</a>
</h5>
<p>
- The terms P and Q are sometimes used to refer to the <a href="nmp.html#math.dist.cdf">Cumulative
- Distribution Function</a> and its complement
+ The terms P and Q are sometimes used to refer to the <a class="link" href="nmp.html#math.dist.cdf">Cumulative
+ Distribution Function</a> and its <a class="link" href="nmp.html#math.dist.ccdf">complement</a>
respectively. Lowercase p and q are sometimes used to refer to the values
returned by these functions.
</p>
<a name="percent"></a><a name="math_toolkit.dist.dist_ref.nmp.percent_point_function"></a><h5>
-<a name="id600450"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.percent_point_function">Percent
+<a name="id627921"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.percent_point_function">Percent
Point Function</a>
</h5>
<p>
The percent point function, also known as the percentile, is the same as
- the Quantile.
+ the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="cdf_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_"></a><h5>
-<a name="id600494"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_">Inverse
+<a name="id627965"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_">Inverse
CDF Function.</a>
</h5>
<p>
The inverse of the cumulative distribution function, is the same as the
- Quantile.
+ <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="survival_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_survival_function_"></a><h5>
-<a name="id600538"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_survival_function_">Inverse
+<a name="id628010"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_survival_function_">Inverse
Survival Function.</a>
</h5>
<p>
- The inverse of the survival function, is the same as computing the quantile from the complement of the probability.
+ The inverse of the survival function, is the same as computing the <a class="link" href="nmp.html#math.dist.quantile_c">quantile from the complement of the probability</a>.
</p>
<a name="pmf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_mass_function"></a><h5>
-<a name="id600584"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_mass_function">Probability
+<a name="id628056"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_mass_function">Probability
Mass Function</a>
</h5>
<p>
- The Probability Mass Function is the same as the <a href="nmp.html#math.dist.pdf">Probability
+ The Probability Mass Function is the same as the <a class="link" href="nmp.html#math.dist.pdf">Probability
Density Function</a>.
</p>
<p>
The term Mass Function is usually applied to discrete distributions, while
- the term Probability Density Function
+ the term <a class="link" href="nmp.html#math.dist.pdf">Probability Density Function</a>
applies to continuous distributions.
</p>
<a name="lower_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.lower_critical_value_"></a><h5>
-<a name="id600644"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.lower_critical_value_">Lower
+<a name="id628115"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.lower_critical_value_">Lower
Critical Value.</a>
</h5>
<p>
The lower critical value calculates the value of the random variable given
the area under the left tail of the distribution. It is equivalent to calculating
- the Quantile.
+ the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="upper_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.upper_critical_value_"></a><h5>
-<a name="id600689"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.upper_critical_value_">Upper
+<a name="id628160"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.upper_critical_value_">Upper
Critical Value.</a>
</h5>
<p>
The upper critical value calculates the value of the random variable given
the area under the right tail of the distribution. It is equivalent to
- calculating the <a href="nmp.html#math.dist.quantile_c">quantile from the
+ calculating the <a class="link" href="nmp.html#math.dist.quantile_c">quantile from the
complement of the probability</a>.
</p>
<a name="survival"></a><a name="math_toolkit.dist.dist_ref.nmp.survival_function"></a><h5>
-<a name="id600736"></a>
- <a href="nmp.html#math_toolkit.dist.dist_ref.nmp.survival_function">Survival
+<a name="id628208"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.survival_function">Survival
Function</a>
</h5>
<p>
- Refer to the <a href="nmp.html#math.dist.ccdf">Complement of the Cumulative
+ Refer to the <a class="link" href="nmp.html#math.dist.ccdf">Complement of the Cumulative
Distribution Function</a>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/future.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/future.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/future.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Extras/Future Directions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="prev" href="dist_ref/dist_algorithms.html" title="Distribution Algorithms">
<link rel="next" href="../special.html" title="Special Functions">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.dist.future"></a> Extras/Future Directions
+<a name="math_toolkit.dist.future"></a><a class="link" href="future.html" title="Extras/Future Directions"> Extras/Future Directions</a>
</h3></div></div></div>
<a name="math_toolkit.dist.future.adding_additional_location_and_scale_parameters"></a><h5>
-<a name="id650320"></a>
- <a href="future.html#math_toolkit.dist.future.adding_additional_location_and_scale_parameters">Adding
+<a name="id677837"></a>
+ <a class="link" href="future.html#math_toolkit.dist.future.adding_additional_location_and_scale_parameters">Adding
Additional Location and Scale Parameters</a>
</h5>
<p>
@@ -55,8 +55,8 @@
functions.
</p>
<a name="math_toolkit.dist.future.an__quot_any_distribution_quot__class"></a><h5>
-<a name="id650548"></a>
- <a href="future.html#math_toolkit.dist.future.an__quot_any_distribution_quot__class">An
+<a name="id678064"></a>
+ <a class="link" href="future.html#math_toolkit.dist.future.an__quot_any_distribution_quot__class">An
"any_distribution" class</a>
</h5>
<p>
@@ -84,8 +84,8 @@
use case: this needs more investigation.
</p>
<a name="math_toolkit.dist.future.higher_level_hypothesis_tests"></a><h5>
-<a name="id650844"></a>
- <a href="future.html#math_toolkit.dist.future.higher_level_hypothesis_tests">Higher
+<a name="id678356"></a>
+ <a class="link" href="future.html#math_toolkit.dist.future.higher_level_hypothesis_tests">Higher
Level Hypothesis Tests</a>
</h5>
<p>
@@ -104,8 +104,8 @@
<span class="emphasis"><em>expected_mean</em></span>.
</p>
<a name="math_toolkit.dist.future.integration_with_statistical_accumulators"></a><h5>
-<a name="id651076"></a>
- <a href="future.html#math_toolkit.dist.future.integration_with_statistical_accumulators">Integration
+<a name="id678587"></a>
+ <a class="link" href="future.html#math_toolkit.dist.future.integration_with_statistical_accumulators">Integration
With Statistical Accumulators</a>
</h5>
<p>
@@ -127,7 +127,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Statistical Distributions Tutorial</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="prev" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="next" href="stat_tut/overview.html" title="Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.dist.stat_tut"></a><a href="stat_tut.html" title="Statistical Distributions Tutorial"> Statistical Distributions
+<a name="math_toolkit.dist.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial"> Statistical Distributions
Tutorial</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -124,7 +124,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Discrete Probability Distributions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="variates.html" title="Random Variates and Distribution Parameters">
<link rel="next" href="../dist_ref.html" title="Statistical Distributions Reference">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.dist_params"></a><a href="dist_params.html" title="Discrete Probability Distributions"> Discrete Probability
+<a name="math_toolkit.dist.stat_tut.dist_params"></a><a class="link" href="dist_params.html" title="Discrete Probability Distributions"> Discrete Probability
Distributions</a>
</h4></div></div></div>
<p>
@@ -72,10 +72,10 @@
</p>
<p>
This behaviour can be changed so that the quantile functions are rounded
- differently, or even return a real-valued result using Policies.
- It is strongly recommended that you read the tutorial <a href="../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ differently, or even return a real-valued result using <a class="link" href="../../policy/pol_overview.html" title="Policy Overview">Policies</a>.
+ It is strongly recommended that you read the tutorial <a class="link" href="../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
Quantiles of Discrete Distributions</a> before using the quantile
- function on a discrete distribution. The <a href="../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ function on a discrete distribution. The <a class="link" href="../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
docs</a> describe how to change the rounding policy for these distributions.
</p>
</td></tr>
@@ -84,7 +84,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Overview</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="next" href="weg.html" title="Worked Examples">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.overview"></a> Overview
+<a name="math_toolkit.dist.stat_tut.overview"></a><a class="link" href="overview.html" title="Overview"> Overview</a>
</h4></div></div></div>
<a name="math_toolkit.dist.stat_tut.overview.headers_and_namespaces"></a><h5>
-<a name="id518440"></a>
- <a href="overview.html#math_toolkit.dist.stat_tut.overview.headers_and_namespaces">Headers
+<a name="id545948"></a>
+ <a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.headers_and_namespaces">Headers
and Namespaces</a>
</h5>
<p>
@@ -44,15 +44,15 @@
or <boost/math/distributions.hpp>
</p>
<a name="math_toolkit.dist.stat_tut.overview.distributions_are_objects"></a><h5>
-<a name="id518493"></a>
- <a href="overview.html#math_toolkit.dist.stat_tut.overview.distributions_are_objects">Distributions
+<a name="id546000"></a>
+ <a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.distributions_are_objects">Distributions
are Objects</a>
</h5>
<p>
Each kind of distribution in this library is a class type.
</p>
<p>
- Policies provide fine-grained
+ <a class="link" href="../../policy.html" title="Policies">Policies</a> provide fine-grained
control of the behaviour of these classes, allowing the user to customise
behaviour such as how errors are handled, or how the quantiles of discrete
distribtions behave.
@@ -64,7 +64,7 @@
</tr>
<tr><td align="left" valign="top"><p>
If you are familiar with statistics libraries using functions, and 'Distributions
- as Objects' seem alien, see <a href="weg/nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions">the
+ as Objects' seem alien, see <a class="link" href="weg/nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions">the
comparison to other statistics libraries.</a>
</p></td></tr>
</table></div>
@@ -106,8 +106,8 @@
<p>
If you need to use the distributions with a type other than <code class="computeroutput"><span class="keyword">double</span></code>, then you can instantiate the template
directly: the names of the templates are the same as the <code class="computeroutput"><span class="keyword">double</span></code> typedef but with <code class="computeroutput"><span class="identifier">_distribution</span></code>
- appended, for example: <a href="../dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
- t Distribution</a> or <a href="../dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
+ appended, for example: <a class="link" href="../dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
+ t Distribution</a> or <a class="link" href="../dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a>:
</p>
<pre class="programlisting"><span class="comment">// Construct a students_t distribution, of float type,
@@ -131,8 +131,8 @@
and <span class="emphasis"><em>quantiles</em></span> etc for these distributions.
</p>
<a name="math_toolkit.dist.stat_tut.overview.generic_operations_common_to_all_distributions_are_non_member_functions"></a><h5>
-<a name="id519025"></a>
- <a href="overview.html#math_toolkit.dist.stat_tut.overview.generic_operations_common_to_all_distributions_are_non_member_functions">Generic
+<a name="id546532"></a>
+ <a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.generic_operations_common_to_all_distributions_are_non_member_functions">Generic
operations common to all distributions are non-member functions</a>
</h5>
<p>
@@ -264,7 +264,7 @@
value, but except for a few special cases (in the Normal and Cauchy distributions)
this implementation limits random variates to finite values from the <code class="computeroutput"><span class="identifier">max</span></code> to <code class="computeroutput"><span class="identifier">min</span></code>
for the <code class="computeroutput"><span class="identifier">RealType</span></code>. (See
- <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
+ <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
of Floating-Point Infinity</a> for rationale).
</p>
<div class="note"><table border="0" summary="Note">
@@ -308,10 +308,10 @@
</p>
<p>
This behaviour can be changed so that the quantile functions are rounded
- differently, or return a real-valued result using Policies.
- It is strongly recommended that you read the tutorial <a href="../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ differently, or return a real-valued result using <a class="link" href="../../policy/pol_overview.html" title="Policy Overview">Policies</a>.
+ It is strongly recommended that you read the tutorial <a class="link" href="../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
Quantiles of Discrete Distributions</a> before using the quantile
- function on a discrete distribtion. The <a href="../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ function on a discrete distribtion. The <a class="link" href="../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
docs</a> describe how to change the rounding policy for these distributions.
</p>
<p>
@@ -326,8 +326,8 @@
<a name="complements"></a><p>
</p>
<a name="math_toolkit.dist.stat_tut.overview.complements_are_supported_too"></a><h5>
-<a name="id519860"></a>
- <a href="overview.html#math_toolkit.dist.stat_tut.overview.complements_are_supported_too">Complements
+<a name="id547368"></a>
+ <a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.complements_are_supported_too">Complements
are supported too</a>
</h5>
<p>
@@ -340,7 +340,7 @@
is non-zero.
</p>
<p>
- See also "Why complements?"
+ <a class="link" href="overview.html#why_complements">See also <span class="emphasis"><em>"Why complements?"</em></span></a>
</p>
<p>
In this library, whenever you want to receive a complement, just wrap all
@@ -461,8 +461,8 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.stat_tut.overview.parameters_can_be_calculated"></a><h5>
-<a name="id521043"></a>
- <a href="overview.html#math_toolkit.dist.stat_tut.overview.parameters_can_be_calculated">Parameters
+<a name="id548551"></a>
+ <a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.parameters_can_be_calculated">Parameters
can be calculated</a>
</h5>
<p>
@@ -492,8 +492,8 @@
sample size.
</p>
<a name="math_toolkit.dist.stat_tut.overview.summary"></a><h5>
-<a name="id521195"></a>
- Summary
+<a name="id548703"></a>
+ <a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.summary">Summary</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
@@ -527,7 +527,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Random Variates and Distribution Parameters</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="weg/nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions">
<link rel="next" href="dist_params.html" title="Discrete Probability Distributions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.variates"></a><a href="variates.html" title="Random Variates and Distribution Parameters"> Random Variates
+<a name="math_toolkit.dist.stat_tut.variates"></a><a class="link" href="variates.html" title="Random Variates and Distribution Parameters"> Random Variates
and Distribution Parameters</a>
</h4></div></div></div>
<p>
@@ -60,7 +60,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Worked Examples</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="overview.html" title="Overview">
<link rel="next" href="weg/dist_construct_eg.html" title="Distribution Construction Example">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.weg"></a> Worked Examples
+<a name="math_toolkit.dist.stat_tut.weg"></a><a class="link" href="weg.html" title="Worked Examples"> Worked Examples</a>
</h4></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="weg/dist_construct_eg.html">
@@ -114,7 +114,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Binomial Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="f_eg.html" title="F Distribution Examples">
<link rel="next" href="binom_eg/binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg"></a><a href="binom_eg.html" title="Binomial Distribution Examples"> Binomial
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg"></a><a class="link" href="binom_eg.html" title="Binomial Distribution Examples"> Binomial
Distribution Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
@@ -39,14 +39,14 @@
Estimating Sample Sizes for a Binomial Distribution.</a></span></dt>
</dl></div>
<p>
- See also the reference documentation for the <a href="../../dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
+ See also the reference documentation for the <a class="link" href="../../dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="binomial_quiz_example.html" title="Binomial Quiz Example">
<link rel="next" href="binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_conf"></a><a href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_conf"></a><a class="link" href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">
Calculating Confidence Limits on the Frequency of Occurrence for a Binomial
Distribution</a>
</h6></div></div></div>
@@ -228,7 +228,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Estimating Sample Sizes for a Binomial Distribution.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">
<link rel="next" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_size_eg"></a><a href="binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_size_eg"></a><a class="link" href="binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">
Estimating Sample Sizes for a Binomial Distribution.</a>
</h6></div></div></div>
<p>
@@ -144,7 +144,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Binomial Coin-Flipping Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="next" href="binomial_quiz_example.html" title="Binomial Quiz Example">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_coinflip_example"></a><a href="binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_coinflip_example"></a><a class="link" href="binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">
Binomial Coin-Flipping Example</a>
</h6></div></div></div>
<p>
@@ -85,7 +85,7 @@
<p>
</p>
<p>
- See note with the catch block
+ See note <a class="link" href="binomial_coinflip_example.html#coinflip_eg_catch">with the catch block</a>
about why a try and catch block is always a good idea.
</p>
<p>
@@ -392,7 +392,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Binomial Quiz Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">
<link rel="next" href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example"></a><a href="binomial_quiz_example.html" title="Binomial Quiz Example">
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example"></a><a class="link" href="binomial_quiz_example.html" title="Binomial Quiz Example">
Binomial Quiz Example</a>
</h6></div></div></div>
<p>
@@ -256,7 +256,7 @@
</p>
<p>
But this should be resisted in favor of using the complement function.
- Why complements?
+ <a class="link" href="../../overview.html#why_complements">Why complements?</a>
</p>
<p>
</p>
@@ -497,8 +497,8 @@
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments"></a>
</p>
<h5>
-<a name="id549409"></a>
- <a href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments">Using
+<a name="id576890"></a>
+ <a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments">Using
Binomial distribution moments</a>
</h5>
<p>
@@ -534,8 +534,8 @@
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles"></a>
</p>
<h5>
-<a name="id549926"></a>
- Quantiles
+<a name="id577407"></a>
+ <a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles">Quantiles</a>
</h5>
<p>
</p>
@@ -584,7 +584,7 @@
<p>
</p>
<p>
- Quantiles values are controlled by the <a href="../../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
+ Quantiles values are controlled by the <a class="link" href="../../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
quantile policy</a> chosen. The default is <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>,
so the lower quantile is rounded down, and the upper quantile is
rounded up.
@@ -593,7 +593,7 @@
</p>
<p>
But we might believe that the real values tell us a little more -
- see <a href="../../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ see <a class="link" href="../../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
Discrete Quantile Policy</a>.
</p>
<p>
@@ -727,7 +727,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Chi Squared Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="st_eg/paired_st.html" title="Comparing two paired samples with the Student's t distribution">
<link rel="next" href="cs_eg/chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg"></a><a href="cs_eg.html" title="Chi Squared Distribution Examples"> Chi Squared
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg"></a><a class="link" href="cs_eg.html" title="Chi Squared Distribution Examples"> Chi Squared
Distribution Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
@@ -40,7 +40,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Confidence Intervals on the Standard Deviation</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../cs_eg.html" title="Chi Squared Distribution Examples">
<link rel="prev" href="../cs_eg.html" title="Chi Squared Distribution Examples">
<link rel="next" href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals"></a><a href="chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals"></a><a class="link" href="chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">
Confidence Intervals on the Standard Deviation</a>
</h6></div></div></div>
<p>
@@ -139,8 +139,8 @@
is between 0.00551 and 0.00729.
</p>
<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations"></a><h5>
-<a name="id533078"></a>
- <a href="chi_sq_intervals.html#math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations">Confidence
+<a name="id560403"></a>
+ <a class="link" href="chi_sq_intervals.html#math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations">Confidence
intervals as a function of the number of observations</a>
</h5>
<p>
@@ -221,7 +221,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../cs_eg.html" title="Chi Squared Distribution Examples">
<link rel="prev" href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">
<link rel="next" href="../f_eg.html" title="F Distribution Examples">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_size"></a><a href="chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_size"></a><a class="link" href="chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">
Estimating the Required Sample Sizes for a Chi-Square Test for the Standard
Deviation</a>
</h6></div></div></div>
@@ -34,7 +34,7 @@
would the sample size have to be in order to produce a definitive result?"
</p>
<p>
- The class template chi_squared_distribution
+ The class template <a class="link" href="../../../dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">chi_squared_distribution</a>
has a static method <code class="computeroutput"><span class="identifier">find_degrees_of_freedom</span></code>
that will calculate this value for some acceptable risk of type I failure
<span class="emphasis"><em>alpha</em></span>, type II failure <span class="emphasis"><em>beta</em></span>,
@@ -167,7 +167,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Chi-Square Test for the Standard Deviation</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../cs_eg.html" title="Chi Squared Distribution Examples">
<link rel="prev" href="chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">
<link rel="next" href="chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_test"></a><a href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_test"></a><a class="link" href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">
Chi-Square Test for the Standard Deviation</a>
</h6></div></div></div>
<p>
@@ -281,7 +281,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Distribution Construction Example</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="../weg.html" title="Worked Examples">
<link rel="next" href="st_eg.html" title="Student's t Distribution Examples">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg"></a><a href="dist_construct_eg.html" title="Distribution Construction Example">
+<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg"></a><a class="link" href="dist_construct_eg.html" title="Distribution Construction Example">
Distribution Construction Example</a>
</h5></div></div></div>
<p>
@@ -332,8 +332,8 @@
<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_"></a>
</p>
<h6>
-<a name="id523372"></a>
- <a href="dist_construct_eg.html#math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_">Default
+<a name="id550880"></a>
+ <a class="link" href="dist_construct_eg.html#math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_">Default
arguments to distribution constructors.</a>
</h6>
<p>
@@ -397,7 +397,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Error Handling Example</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="nccs_eg/nccs_power_eg.html" title="Tables of the power function of the χ2 test.">
<link rel="next" href="find_eg.html" title="Find Location and Scale Examples">
@@ -24,14 +24,14 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.error_eg"></a><a href="error_eg.html" title="Error Handling Example"> Error Handling
+<a name="math_toolkit.dist.stat_tut.weg.error_eg"></a><a class="link" href="error_eg.html" title="Error Handling Example"> Error Handling
Example</a>
</h5></div></div></div>
<p>
- See <a href="../../../main_overview/error_handling.html" title="Error Handling">error handling
+ See <a class="link" href="../../../main_overview/error_handling.html" title="Error Handling">error handling
documentation</a> for a detailed explanation of the mechanism of handling
errors, including the common "bad" arguments to distributions
- and functions, and how to use Policies
+ and functions, and how to use <a class="link" href="../../../policy.html" title="Policies">Policies</a>
to control it.
</p>
<p>
@@ -251,7 +251,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>F Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="cs_eg/chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">
<link rel="next" href="binom_eg.html" title="Binomial Distribution Examples">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.f_eg"></a><a href="f_eg.html" title="F Distribution Examples"> F Distribution
+<a name="math_toolkit.dist.stat_tut.weg.f_eg"></a><a class="link" href="f_eg.html" title="F Distribution Examples"> F Distribution
Examples</a>
</h5></div></div></div>
<p>
@@ -316,7 +316,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Find Location and Scale Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="error_eg.html" title="Error Handling Example">
<link rel="next" href="find_eg/find_location_eg.html" title="Find Location (Mean) Example">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg"></a><a href="find_eg.html" title="Find Location and Scale Examples"> Find Location
+<a name="math_toolkit.dist.stat_tut.weg.find_eg"></a><a class="link" href="find_eg.html" title="Find Location and Scale Examples"> Find Location
and Scale Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
@@ -39,7 +39,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Find Location (Mean) Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../find_eg.html" title="Find Location and Scale Examples">
<link rel="prev" href="../find_eg.html" title="Find Location and Scale Examples">
<link rel="next" href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg"></a><a href="find_location_eg.html" title="Find Location (Mean) Example">
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg"></a><a class="link" href="find_location_eg.html" title="Find Location (Mean) Example">
Find Location (Mean) Example</a>
</h6></div></div></div>
<p>
@@ -175,8 +175,8 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location"></a>
</p>
<h5>
-<a name="id583731"></a>
- <a href="find_location_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location">Controlling
+<a name="id611206"></a>
+ <a class="link" href="find_location_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location">Controlling
Error Handling from find_location</a>
</h5>
<p>
@@ -226,9 +226,9 @@
<p>
</p>
<p>
- If we want to use a probability that is the <a href="../../overview.html#complements">complement
+ If we want to use a probability that is the <a class="link" href="../../overview.html#complements">complement
of our probability</a>, we should not even think of writing <code class="computeroutput"><span class="identifier">find_location</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">sd</span><span class="special">)</span></code>,
- but, to avoid loss of accuracy,
+ but, <a class="link" href="../../overview.html#why_complements">to avoid loss of accuracy</a>,
use the complement version.
</p>
<p>
@@ -267,7 +267,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Find mean and standard deviation example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../find_eg.html" title="Find Location and Scale Examples">
<link rel="prev" href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">
<link rel="next" href="../nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg"></a><a href="find_mean_and_sd_eg.html" title="Find mean and standard deviation example">
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg"></a><a class="link" href="find_mean_and_sd_eg.html" title="Find mean and standard deviation example">
Find mean and standard deviation example</a>
</h6></div></div></div>
<p>
@@ -62,8 +62,8 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications"></a>
</p>
<h5>
-<a name="id588900"></a>
- <a href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications">Using
+<a name="id616374"></a>
+ <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications">Using
find_location and find_scale to meet dispensing and measurement specifications</a>
</h5>
<p>
@@ -195,7 +195,7 @@
<p>
</p>
<p>
- This calculation is generalized as the free function called find_location.
+ This calculation is generalized as the free function called <a class="link" href="../../../dist_ref/dist_algorithms.html" title="Distribution Algorithms">find_location</a>.
</p>
<p>
</p>
@@ -246,8 +246,8 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution"></a>
</p>
<h5>
-<a name="id590548"></a>
- <a href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution">Using
+<a name="id618019"></a>
+ <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution">Using
Cauchy-Lorentz instead of normal distribution</a>
</h5>
<p>
@@ -256,7 +256,7 @@
After examining the weight distribution of a large number of packs,
we might decide that, after all, the assumption of a normal distribution
is not really justified. We might find that the fit is better to
- a <a href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ a <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
Distribution</a>. This distribution has wider 'wings', so that
whereas most of the values are closer to the mean than the normal,
there are also more values than 'normal' that lie further from the
@@ -271,7 +271,7 @@
<p>
</p>
<p>
- We first create a <a href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ We first create a <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
Distribution</a> with the original mean and standard deviation,
and estimate the fraction that lie below our minimum weight specification.
</p>
@@ -365,8 +365,8 @@
The only caveat is that the calculation assumes that the standard
deviation (scale) is known with a reasonably low uncertainty, something
that is not so easy to ensure in practice. And that the distribution
- is well defined, <a href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
- Distribution</a> or <a href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ is well defined, <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ Distribution</a> or <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
Distribution</a>, or some other.
</p>
<p>
@@ -388,7 +388,7 @@
<p>
</p>
<p>
- See <a href="../cs_eg/chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">Confidence
+ See <a class="link" href="../cs_eg/chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">Confidence
Intervals on the standard deviation</a> for a worked example
<a href="../../../../../../../../example/chi_square_std_dev_test.cpp" target="_top">chi_square_std_dev_test.cpp</a>
of estimating these intervals.
@@ -397,8 +397,8 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation"></a>
</p>
<h5>
-<a name="id591501"></a>
- <a href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation">Changing
+<a name="id618972"></a>
+ <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation">Changing
the scale or standard deviation</a>
</h5>
<p>
@@ -494,7 +494,7 @@
<p>
Now we are getting really close, but to do the job properly, we might
need to use root finding method, for example the tools provided,
- and used elsewhere, in the Math Toolkit, see <a href="../../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">Root
+ and used elsewhere, in the Math Toolkit, see <a class="link" href="../../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">Root
Finding Without Derivatives</a>.
</p>
<p>
@@ -629,9 +629,9 @@
<p>
</p>
<p>
- But notice that using '1 - over_fraction' - will lead to a <a href="../../overview.html#why_complements">loss of accuracy, especially if over_fraction
+ But notice that using '1 - over_fraction' - will lead to a <a class="link" href="../../overview.html#why_complements">loss of accuracy, especially if over_fraction
was close to unity.</a> In this (very common) case, we should
- instead use the complements, giving
+ instead use the <a class="link" href="../../overview.html#complements">complements</a>, giving
the most accurate result.
</p>
<p>
@@ -712,7 +712,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Find Scale (Standard Deviation) Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../find_eg.html" title="Find Location and Scale Examples">
<link rel="prev" href="find_location_eg.html" title="Find Location (Mean) Example">
<link rel="next" href="find_mean_and_sd_eg.html" title="Find mean and standard deviation example">
@@ -24,13 +24,13 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg"></a><a href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg"></a><a class="link" href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">
Find Scale (Standard Deviation) Example</a>
</h6></div></div></div>
<p>
</p>
<p>
- First we need some includes to access the <a href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ First we need some includes to access the <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
Distribution</a>, the algorithms to find scale (and some std output
of course).
</p>
@@ -58,7 +58,7 @@
<p>
</p>
<p>
- For this example, we will use the standard <a href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ For this example, we will use the standard <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
Distribution</a>, with location (mean) zero and standard deviation
(scale) unity. Conveniently, this is also the default for this implementation's
constructor.
@@ -179,8 +179,8 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled"></a>
</p>
<h5>
-<a name="id586746"></a>
- <a href="find_scale_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled">Controlling
+<a name="id614219"></a>
+ <a class="link" href="find_scale_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled">Controlling
how Errors from find_scale are handled</a>
</h5>
<p>
@@ -234,8 +234,8 @@
If we want to express a probability, say 0.999, that is a complement,
<code class="computeroutput"><span class="number">1</span> <span class="special">-</span>
<span class="identifier">p</span></code> we should not even think
- of writing <code class="computeroutput"><span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">l</span><span class="special">)</span></code>, but instead,
- use the complements version.
+ of writing <code class="computeroutput"><span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">l</span><span class="special">)</span></code>, but <a class="link" href="../../overview.html#why_complements">instead</a>,
+ use the <a class="link" href="../../overview.html#complements">complements</a> version.
</p>
<p>
</p>
@@ -292,7 +292,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Comparison with C, R, FORTRAN-style Free Functions</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="find_eg/find_mean_and_sd_eg.html" title="Find mean and standard deviation example">
<link rel="next" href="../variates.html" title="Random Variates and Distribution Parameters">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.nag_library"></a><a href="nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions"> Comparison
+<a name="math_toolkit.dist.stat_tut.weg.nag_library"></a><a class="link" href="nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions"> Comparison
with C, R, FORTRAN-style Free Functions</a>
</h5></div></div></div>
<p>
@@ -100,7 +100,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Non Central Chi Squared Example</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="normal_example/normal_misc.html" title="Some Miscellaneous Examples of the Normal (Gaussian) Distribution">
<link rel="next" href="nccs_eg/nccs_power_eg.html" title="Tables of the power function of the χ2 test.">
@@ -24,20 +24,20 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.nccs_eg"></a><a href="nccs_eg.html" title="Non Central Chi Squared Example"> Non Central
+<a name="math_toolkit.dist.stat_tut.weg.nccs_eg"></a><a class="link" href="nccs_eg.html" title="Non Central Chi Squared Example"> Non Central
Chi Squared Example</a>
</h5></div></div></div>
<div class="toc"><dl><dt><span class="section"><a href="nccs_eg/nccs_power_eg.html">
Tables of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></div>
<p>
- (See also the reference documentation for the <a href="../../dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Noncentral
+ (See also the reference documentation for the <a class="link" href="../../dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Noncentral
Chi Squared Distribution</a>.)
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Tables of the power function of the χ2 test.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../nccs_eg.html" title="Non Central Chi Squared Example">
<link rel="prev" href="../nccs_eg.html" title="Non Central Chi Squared Example">
<link rel="next" href="../error_eg.html" title="Error Handling Example">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.nccs_eg.nccs_power_eg"></a><a href="nccs_power_eg.html" title="Tables of the power function of the χ2 test.">
+<a name="math_toolkit.dist.stat_tut.weg.nccs_eg.nccs_power_eg"></a><a class="link" href="nccs_power_eg.html" title="Tables of the power function of the χ2 test.">
Tables of the power function of the χ<sup>2</sup> test.</a>
</h6></div></div></div>
<p>
@@ -1328,7 +1328,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Negative Binomial Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="binom_eg/binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">
<link rel="next" href="neg_binom_eg/neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg"></a><a href="neg_binom_eg.html" title="Negative Binomial Distribution Examples"> Negative
+<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg"></a><a class="link" href="neg_binom_eg.html" title="Negative Binomial Distribution Examples"> Negative
Binomial Distribution Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
@@ -39,14 +39,14 @@
Negative Binomial Table Printing Example.</a></span></dt>
</dl></div>
<p>
- (See also the reference documentation for the <a href="../../dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
+ (See also the reference documentation for the <a class="link" href="../../dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
Binomial Distribution</a>.)
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="next" href="neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.neg_binom_conf"></a><a href="neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">
+<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.neg_binom_conf"></a><a class="link" href="neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">
Calculating Confidence Limits on the Frequency of Occurrence for the
Negative Binomial Distribution</a>
</h6></div></div></div>
@@ -252,7 +252,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Estimating Sample Sizes for the Negative Binomial.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">
<link rel="next" href="negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.neg_binom_size_eg"></a><a href="neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">
+<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.neg_binom_size_eg"></a><a class="link" href="neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">
Estimating Sample Sizes for the Negative Binomial.</a>
</h6></div></div></div>
<p>
@@ -234,7 +234,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Negative Binomial Sales Quota Example.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">
<link rel="next" href="negative_binomial_example2.html" title="Negative Binomial Table Printing Example.">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.negative_binomial_example1"></a><a href="negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">
+<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.negative_binomial_example1"></a><a class="link" href="negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">
Negative Binomial Sales Quota Example.</a>
</h6></div></div></div>
<p>
@@ -248,7 +248,7 @@
<p>
The random variable of interest is the number of houses that must
be visited to sell five candy bars, so we substitute k = n - 5 into
- a negative_binomial(5, 0.4) and obtain the <a href="../../../dist_ref/nmp.html#math.dist.pdf">probability
+ a negative_binomial(5, 0.4) and obtain the <a class="link" href="../../../dist_ref/nmp.html#math.dist.pdf">probability
mass (density) function (pdf or pmf)</a> of the distribution of
houses visited. Obviously, the best possible case is that Pat makes
sales on all the first five houses.
@@ -494,7 +494,7 @@
<span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">nb</span><span class="special">,</span> <span class="identifier">all_houses</span>
<span class="special">-</span> <span class="identifier">sales_quota</span><span class="special">)</span></code>` But using this expression may cause
serious inaccuracy. So it would be much better to use the complement
- of the cdf. Why complements?
+ of the cdf. <a class="link" href="../../overview.html#why_complements">Why complements?</a>
</p>
<p>
</p>
@@ -792,7 +792,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Negative Binomial Table Printing Example.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">
<link rel="next" href="../normal_example.html" title="Normal Distribution Examples">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.negative_binomial_example2"></a><a href="negative_binomial_example2.html" title="Negative Binomial Table Printing Example.">
+<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.negative_binomial_example2"></a><a class="link" href="negative_binomial_example2.html" title="Negative Binomial Table Printing Example.">
Negative Binomial Table Printing Example.</a>
</h6></div></div></div>
<p>
@@ -136,7 +136,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Normal Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="neg_binom_eg/negative_binomial_example2.html" title="Negative Binomial Table Printing Example.">
<link rel="next" href="normal_example/normal_misc.html" title="Some Miscellaneous Examples of the Normal (Gaussian) Distribution">
@@ -24,20 +24,20 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.normal_example"></a><a href="normal_example.html" title="Normal Distribution Examples"> Normal
+<a name="math_toolkit.dist.stat_tut.weg.normal_example"></a><a class="link" href="normal_example.html" title="Normal Distribution Examples"> Normal
Distribution Examples</a>
</h5></div></div></div>
<div class="toc"><dl><dt><span class="section"><a href="normal_example/normal_misc.html">
Some Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></div>
<p>
- (See also the reference documentation for the <a href="../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ (See also the reference documentation for the <a class="link" href="../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
Distribution</a>.)
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Some Miscellaneous Examples of the Normal (Gaussian) Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../normal_example.html" title="Normal Distribution Examples">
<link rel="prev" href="../normal_example.html" title="Normal Distribution Examples">
<link rel="next" href="../nccs_eg.html" title="Non Central Chi Squared Example">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc"></a><a href="normal_misc.html" title="Some Miscellaneous Examples of the Normal (Gaussian) Distribution">
+<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc"></a><a class="link" href="normal_misc.html" title="Some Miscellaneous Examples of the Normal (Gaussian) Distribution">
Some Miscellaneous Examples of the Normal (Gaussian) Distribution</a>
</h6></div></div></div>
<p>
@@ -32,8 +32,8 @@
illustrates their use.
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables"></a><h5>
-<a name="id568766"></a>
- <a href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables">Traditional
+<a name="id596243"></a>
+ <a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables">Traditional
Tables</a>
</h5>
<p>
@@ -278,8 +278,8 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean"></a><h5>
-<a name="id571926"></a>
- <a href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean">Standard
+<a name="id599406"></a>
+ <a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean">Standard
deviations either side of the Mean</a>
</h5>
<p>
@@ -346,13 +346,13 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples"></a><h5>
-<a name="id572660"></a>
- <a href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples">Some
+<a name="id600141"></a>
+ <a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples">Some
simple examples</a>
</h5>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.life_of_light_bulbs"></a><h5>
-<a name="id572686"></a>
- <a href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.life_of_light_bulbs">Life
+<a name="id600167"></a>
+ <a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.life_of_light_bulbs">Life
of light bulbs</a>
</h5>
<p>
@@ -435,8 +435,8 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_"></a><h5>
-<a name="id573398"></a>
- <a href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_">How
+<a name="id600868"></a>
+ <a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_">How
many onions?</a>
</h5>
<p>
@@ -494,8 +494,8 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef"></a><h5>
-<a name="id573970"></a>
- <a href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef">Packing
+<a name="id601439"></a>
+ <a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef">Packing
beef</a>
</h5>
<p>
@@ -651,7 +651,7 @@
<p>
Now we are getting really close, but to do the job properly, we could
use root finding method, for example the tools provided, and used
- elsewhere, in the Math Toolkit, see <a href="../../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">Root
+ elsewhere, in the Math Toolkit, see <a class="link" href="../../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">Root
Finding Without Derivatives</a>.
</p>
<p>
@@ -703,8 +703,8 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts"></a><h5>
-<a name="id576969"></a>
- <a href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts">Length
+<a name="id604442"></a>
+ <a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts">Length
of bolts</a>
</h5>
<p>
@@ -745,7 +745,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Student's t Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="dist_construct_eg.html" title="Distribution Construction Example">
<link rel="next" href="st_eg/tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.st_eg"></a><a href="st_eg.html" title="Student's t Distribution Examples"> Student's
+<a name="math_toolkit.dist.stat_tut.weg.st_eg"></a><a class="link" href="st_eg.html" title="Student's t Distribution Examples"> Student's
t Distribution Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
@@ -44,7 +44,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/paired_st.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/paired_st.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/paired_st.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Comparing two paired samples with the Student's t distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test">
<link rel="next" href="../cs_eg.html" title="Chi Squared Distribution Examples">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.st_eg.paired_st"></a><a href="paired_st.html" title="Comparing two paired samples with the Student's t distribution">
+<a name="math_toolkit.dist.stat_tut.weg.st_eg.paired_st"></a><a class="link" href="paired_st.html" title="Comparing two paired samples with the Student's t distribution">
Comparing two paired samples with the Student's t distribution</a>
</h6></div></div></div>
<p>
@@ -44,19 +44,19 @@
</p>
<div class="itemizedlist"><ul type="disc">
<li>
-<a href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">Calculate
+<a class="link" href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">Calculate
confidence intervals of the mean</a>. If the endpoints of the
interval differ in sign then we are unable to reject the null-hypothesis
that there is no change.
</li>
<li>
-<a href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>Test
+<a class="link" href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>Test
whether the true mean is zero</a>. If the result is consistent
with a true mean of zero, then we are unable to reject the null-hypothesis
that there is no change.
</li>
<li>
-<a href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">Calculate
+<a class="link" href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">Calculate
how many pairs of readings we would need in order to obtain a significant
result</a>.
</li>
@@ -65,7 +65,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Calculating confidence intervals on the mean with the Students-t distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="next" href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_intervals"></a><a href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">
+<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_intervals"></a><a class="link" href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">
Calculating confidence intervals on the mean with the Students-t distribution</a>
</h6></div></div></div>
<p>
@@ -254,7 +254,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_size.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_size.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_size.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>
<link rel="next" href="two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_size"></a><a href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">
+<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_size"></a><a class="link" href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">
Estimating how large a sample size would have to become in order to give
a significant Students-t test result with a single sample test</a>
</h6></div></div></div>
@@ -166,7 +166,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_test.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_test.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_test.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Testing a sample mean for difference from a "true" mean</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">
<link rel="next" href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_test"></a><a href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>
+<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_test"></a><a class="link" href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>
Testing a sample mean for difference from a "true" mean</a>
</h6></div></div></div>
<p>
@@ -320,7 +320,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/two_sample_students_t.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/two_sample_students_t.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/two_sample_students_t.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Comparing the means of two samples with the Students-t test</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">
<link rel="next" href="paired_st.html" title="Comparing two paired samples with the Student's t distribution">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.st_eg.two_sample_students_t"></a><a href="two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test">
+<a name="math_toolkit.dist.stat_tut.weg.st_eg.two_sample_students_t"></a><a class="link" href="two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test">
Comparing the means of two samples with the Students-t test</a>
</h6></div></div></div>
<p>
@@ -344,7 +344,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Overview</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="../index.html" title="Math Toolkit">
<link rel="next" href="main_overview/intro.html" title="About the Math Toolkit">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.main_overview"></a> Overview
+<a name="math_toolkit.main_overview"></a><a class="link" href="main_overview.html" title="Overview"> Overview</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> About the Math Toolkit</span></dt>
@@ -54,7 +54,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Compilers</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="error_handling.html" title="Error Handling">
<link rel="next" href="pol_overview.html" title="Configuration and Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.compilers_overview"></a> Compilers
+<a name="math_toolkit.main_overview.compilers_overview"></a><a class="link" href="compilers_overview.html" title="Compilers"> Compilers</a>
</h3></div></div></div>
<p>
</p>
@@ -37,7 +37,7 @@
<p>
</p>
<div class="table">
-<a name="id506161"></a><p class="title"><b>Table 9. Supported/Tested Compilers</b></p>
+<a name="id533601"></a><p class="title"><b>Table 9. Supported/Tested Compilers</b></p>
<div class="table-contents"><table class="table" summary="Supported/Tested Compilers">
<colgroup>
<col>
@@ -540,7 +540,7 @@
</div>
<p><br class="table-break"> </p>
<div class="table">
-<a name="id506951"></a><p class="title"><b>Table 10. Unsupported Compilers</b></p>
+<a name="id534390"></a><p class="title"><b>Table 10. Unsupported Compilers</b></p>
<div class="table-contents"><table class="table" summary="Unsupported Compilers">
<colgroup>
<col>
@@ -615,7 +615,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/contact.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/contact.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/contact.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Contact Info and Support</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="tr1.html" title="C99 and TR1 C Functions">
<link rel="next" href="../dist.html" title="Statistical Distributions and Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.contact"></a><a href="contact.html" title="Contact Info and Support"> Contact Info and
+<a name="math_toolkit.main_overview.contact"></a><a class="link" href="contact.html" title="Contact Info and Support"> Contact Info and
Support</a>
</h3></div></div></div>
<p>
@@ -48,7 +48,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Directory and File Structure</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="navigation.html" title="Navigation">
<link rel="next" href="namespaces.html" title="Namespaces">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.directories"></a><a href="directories.html" title="Directory and File Structure"> Directory and
+<a name="math_toolkit.main_overview.directories"></a><a class="link" href="directories.html" title="Directory and File Structure"> Directory and
File Structure</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.directories.boost_math"></a><h5>
-<a name="id445937"></a>
- boost/math
+<a name="id473306"></a>
+ <a class="link" href="directories.html#math_toolkit.main_overview.directories.boost_math">boost/math</a>
</h5>
<div class="variablelist">
<p class="title"><b></b></p>
@@ -73,8 +73,8 @@
</dl>
</div>
<a name="math_toolkit.main_overview.directories.boost_libs"></a><h5>
-<a name="id446128"></a>
- boost/libs
+<a name="id473497"></a>
+ <a class="link" href="directories.html#math_toolkit.main_overview.directories.boost_libs">boost/libs</a>
</h5>
<div class="variablelist">
<p class="title"><b></b></p>
@@ -110,7 +110,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Error Handling</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="result_type.html" title="Calculation of the Type of the Result">
<link rel="next" href="compilers_overview.html" title="Compilers">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.error_handling"></a> Error Handling
+<a name="math_toolkit.main_overview.error_handling"></a><a class="link" href="error_handling.html" title="Error Handling"> Error Handling</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.error_handling.quick_reference"></a><h5>
-<a name="id501001"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.quick_reference">Quick
+<a name="id528440"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.quick_reference">Quick
Reference</a>
</h5>
<p>
@@ -55,7 +55,7 @@
<dt><span class="term">Pole Error</span></dt>
<dd><p>
Occurs when the particular arguments cause the function to be evaluated
- at a pole with no well defined residual value. For example if tgamma
+ at a pole with no well defined residual value. For example if <a class="link" href="../special/sf_gamma/tgamma.html" title="Gamma">tgamma</a>
is evaluated at exactly -2, the function approaches different limiting
values depending upon whether you approach from just above or just below
-2. Hence the function has no well defined value at this point and a
@@ -77,9 +77,9 @@
</p></dd>
<dt><span class="term">Rounding Error</span></dt>
<dd><p>
- Occurs when the argument to one of the rounding functions trunc,
- round and
- modf can not
+ Occurs when the argument to one of the rounding functions <a class="link" href="../special/rounding/trunc.html" title="Truncation Functions">trunc</a>,
+ <a class="link" href="../special/rounding/round.html" title="Rounding Functions">round</a> and
+ <a class="link" href="../special/rounding/modf.html" title="Integer and Fractional Part Splitting (modf)">modf</a> can not
be represented as an integer type, is is outide the range of the result
type.
</p></dd>
@@ -98,7 +98,7 @@
</div>
<p>
The action undertaken by each error condition is determined by the current
- Policy in effect. This can be
+ <a class="link" href="../policy.html" title="Policies">Policy</a> in effect. This can be
changed program-wide by setting some configuration macros, or at namespace
scope, or at the call site (by specifying a specific policy in the function
call).
@@ -124,7 +124,7 @@
</p></dd>
<dt><span class="term">user_error</span></dt>
<dd><p>
- Calls a <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">user-supplied
+ Calls a <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">user-supplied
error handler</a>.
</p></dd>
</dl>
@@ -134,7 +134,7 @@
the default action for each error shown in bold:
</p>
<div class="table">
-<a name="id501321"></a><p class="title"><b>Table 1. Possible Actions for Domain Errors</b></p>
+<a name="id528760"></a><p class="title"><b>Table 1. Possible Actions for Domain Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Domain Errors">
<colgroup>
<col>
@@ -200,7 +200,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_domain_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -209,7 +209,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id501638"></a><p class="title"><b>Table 2. Possible Actions for Pole Errors</b></p>
+<a name="id529078"></a><p class="title"><b>Table 2. Possible Actions for Pole Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Pole Errors">
<colgroup>
<col>
@@ -275,7 +275,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_pole_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -284,7 +284,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id501952"></a><p class="title"><b>Table 3. Possible Actions for Overflow Errors</b></p>
+<a name="id529392"></a><p class="title"><b>Table 3. Possible Actions for Overflow Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Overflow Errors">
<colgroup>
<col>
@@ -350,7 +350,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_overflow_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -359,7 +359,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id502268"></a><p class="title"><b>Table 4. Possible Actions for Underflow Errors</b></p>
+<a name="id529707"></a><p class="title"><b>Table 4. Possible Actions for Underflow Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Underflow Errors">
<colgroup>
<col>
@@ -425,7 +425,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_underflow_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -434,7 +434,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id502492"></a><p class="title"><b>Table 5. Possible Actions for Denorm Errors</b></p>
+<a name="id529931"></a><p class="title"><b>Table 5. Possible Actions for Denorm Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Denorm Errors">
<colgroup>
<col>
@@ -500,7 +500,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_denorm_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -509,7 +509,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id502716"></a><p class="title"><b>Table 6. Possible Actions for Rounding Errors</b></p>
+<a name="id530156"></a><p class="title"><b>Table 6. Possible Actions for Rounding Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Rounding Errors">
<colgroup>
<col>
@@ -575,7 +575,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_rounding_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -584,7 +584,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id502950"></a><p class="title"><b>Table 7. Possible Actions for Internal Evaluation
+<a name="id530390"></a><p class="title"><b>Table 7. Possible Actions for Internal Evaluation
Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Internal Evaluation
Errors">
@@ -652,7 +652,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_evaluation_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -661,7 +661,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id503185"></a><p class="title"><b>Table 8. Possible Actions for Indeterminate Result
+<a name="id530625"></a><p class="title"><b>Table 8. Possible Actions for Indeterminate Result
Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Indeterminate Result
Errors">
@@ -730,7 +730,7 @@
<td>
<p>
Returns the result of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">user_indeterminate_result_error</span></code>:
- <a href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
+ <a class="link" href="../policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">this
function must be defined by the user</a>.
</p>
</td>
@@ -739,8 +739,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.main_overview.error_handling.rationale"></a><h5>
-<a name="id503431"></a>
- Rationale
+<a name="id530871"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.rationale">Rationale</a>
</h5>
<p>
The flexibility of the current implementation should be reasonably obvious,
@@ -758,30 +758,30 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.error_handling.finding_more_information"></a><h5>
-<a name="id503481"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.finding_more_information">Finding
+<a name="id530920"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.finding_more_information">Finding
More Information</a>
</h5>
<p>
- There are some pre-processor macro defines that can be used to <a href="../policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">change
- the policy defaults</a>. See also the <a href="../policy.html" title="Policies">policy
+ There are some pre-processor macro defines that can be used to <a class="link" href="../policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">change
+ the policy defaults</a>. See also the <a class="link" href="../policy.html" title="Policies">policy
section</a>.
</p>
<p>
- An example is at the Policy tutorial in <a href="../policy/pol_tutorial/changing_policy_defaults.html" title="Changing the Policy Defaults">Changing
+ An example is at the Policy tutorial in <a class="link" href="../policy/pol_tutorial/changing_policy_defaults.html" title="Changing the Policy Defaults">Changing
the Policy Defaults</a>.
</p>
<p>
Full source code of this typical example of passing a 'bad' argument (negative
- degrees of freedom) to Student's t distribution is <a href="../dist/stat_tut/weg/error_eg.html" title="Error Handling Example">in
+ degrees of freedom) to Student's t distribution is <a class="link" href="../dist/stat_tut/weg/error_eg.html" title="Error Handling Example">in
the error handling example</a>.
</p>
<p>
The various kind of errors are described in more detail below.
</p>
<a name="domain_error"></a><a name="math_toolkit.main_overview.error_handling.domain_errors"></a><h5>
-<a name="id503575"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.domain_errors">Domain
+<a name="id531015"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.domain_errors">Domain
Errors</a>
</h5>
<p>
@@ -789,19 +789,19 @@
values for which that function is defined, then the function returns the
result of:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_domain_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_domain_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating-point
type passed to the function, <code class="computeroutput"><span class="identifier">FunctionName</span></code>
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
is an error message describing the problem, Val is the value that was out
- of range, and Policy is the current
+ of range, and <a class="link" href="../policy.html" title="Policies">Policy</a> is the current
policy in use for the function that was called.
</p>
<p>
The default policy behaviour of this function is to throw a std::domain_error
- C++ exception. But if the Policy
+ C++ exception. But if the <a class="link" href="../policy.html" title="Policies">Policy</a>
is to ignore the error, or set global ::errno, then a NaN will be returned.
</p>
<p>
@@ -873,27 +873,27 @@
for more details.
</p>
<a name="pole_error"></a><a name="math_toolkit.main_overview.error_handling.evaluation_at_a_pole"></a><h5>
-<a name="id503958"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_at_a_pole">Evaluation
+<a name="id531397"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_at_a_pole">Evaluation
at a pole</a>
</h5>
<p>
When a special function is passed an argument that is at a pole without a
well defined residual value, then the function returns the result of:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_pole_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_pole_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating point
type passed to the function, <code class="computeroutput"><span class="identifier">FunctionName</span></code>
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
is an error message describing the problem, <code class="computeroutput"><span class="identifier">Val</span></code>
- is the value of the argument that is at a pole, and Policy
+ is the value of the argument that is at a pole, and <a class="link" href="../policy.html" title="Policies">Policy</a>
is the current policy in use for the function that was called.
</p>
<p>
The default behaviour of this function is to throw a std::domain_error exception.
- But <a href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">error
+ But <a class="link" href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">error
handling policies</a> can be used to change this, for example to <code class="computeroutput"><span class="identifier">ignore_error</span></code> and return NaN.
</p>
<p>
@@ -912,21 +912,21 @@
for more details.
</p>
<a name="overflow_error"></a><a name="math_toolkit.main_overview.error_handling.numeric_overflow"></a><h5>
-<a name="id504279"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_overflow">Numeric
+<a name="id531719"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_overflow">Numeric
Overflow</a>
</h5>
<p>
When the result of a special function is too large to fit in the argument
floating-point type, then the function returns the result of:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_overflow_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_overflow_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating-point
type passed to the function, <code class="computeroutput"><span class="identifier">FunctionName</span></code>
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
- is an error message describing the problem, and Policy
+ is an error message describing the problem, and <a class="link" href="../policy.html" title="Policies">Policy</a>
is the current policy in use for the function that was called.
</p>
<p>
@@ -937,21 +937,21 @@
doesn't support infinities, the maximum value for the type is returned.
</p>
<a name="underflow_error"></a><a name="math_toolkit.main_overview.error_handling.numeric_underflow"></a><h5>
-<a name="id504560"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_underflow">Numeric
+<a name="id531999"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_underflow">Numeric
Underflow</a>
</h5>
<p>
If the result of a special function is known to be non-zero, but the calculated
result underflows to zero, then the function returns the result of:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_underflow_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_underflow_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating point
type passed to the function, <code class="computeroutput"><span class="identifier">FunctionName</span></code>
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
- is an error message describing the problem, and Policy
+ is an error message describing the problem, and <a class="link" href="../policy.html" title="Policies">Policy</a>
is the current policy in use for the called function.
</p>
<p>
@@ -960,21 +960,21 @@
an <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">underflow_error</span></code> C++ exception.
</p>
<a name="denorm_error"></a><a name="math_toolkit.main_overview.error_handling.denormalisation_errors"></a><h5>
-<a name="id504782"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.denormalisation_errors">Denormalisation
+<a name="id532221"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.denormalisation_errors">Denormalisation
Errors</a>
</h5>
<p>
If the result of a special function is a denormalised value <span class="emphasis"><em>z</em></span>
then the function returns the result of:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_denorm_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_denorm_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating point
type passed to the function, <code class="computeroutput"><span class="identifier">FunctionName</span></code>
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
- is an error message describing the problem, and Policy
+ is an error message describing the problem, and <a class="link" href="../policy.html" title="Policies">Policy</a>
is the current policy in use for the called function.
</p>
<p>
@@ -983,22 +983,22 @@
throws an <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">underflow_error</span></code> C++ exception.
</p>
<a name="evaluation_error"></a><a name="math_toolkit.main_overview.error_handling.evaluation_errors"></a><h5>
-<a name="id505019"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_errors">Evaluation
+<a name="id532458"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_errors">Evaluation
Errors</a>
</h5>
<p>
When a special function calculates a result that is known to be erroneous,
or where the result is incalculable then it calls:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_evaluation_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_evaluation_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating point
type passed to the function, <code class="computeroutput"><span class="identifier">FunctionName</span></code>
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
is an error message describing the problem, <code class="computeroutput"><span class="identifier">Val</span></code>
- is the erroneous value, and Policy
+ is the erroneous value, and <a class="link" href="../policy.html" title="Policies">Policy</a>
is the current policy in use for the called function.
</p>
<p>
@@ -1020,15 +1020,15 @@
for more details.
</p>
<a name="indeterminate_result_error"></a><a name="math_toolkit.main_overview.error_handling.indeterminate_result_errors"></a><h5>
-<a name="id505350"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.indeterminate_result_errors">Indeterminate
+<a name="id532789"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.indeterminate_result_errors">Indeterminate
Result Errors</a>
</h5>
<p>
When the result of a special function is indeterminate for the value that
was passed to it, then the function returns the result of:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_overflow_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> <span class="identifier">Default</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_overflow_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> <span class="identifier">Default</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating-point
@@ -1036,7 +1036,7 @@
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
is an error message describing the problem, Val is the value for which the
result is indeterminate, Default is an alternative default result that must
- be returned for ignore_error and errno_on_error policies, and Policy
+ be returned for ignore_error and errno_on_error policies, and <a class="link" href="../policy.html" title="Policies">Policy</a>
is the current policy in use for the function that was called.
</p>
<p>
@@ -1047,24 +1047,24 @@
the result of 0<sup>0</sup> is 1, even though the result is actually mathematically indeterminate.
</p>
<a name="rounding_error"></a><a name="math_toolkit.main_overview.error_handling.rounding_errors"></a><h5>
-<a name="id505577"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.rounding_errors">Rounding
+<a name="id533016"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.rounding_errors">Rounding
Errors</a>
</h5>
<p>
- When one of the rounding functions round,
- trunc or modf is called with an
+ When one of the rounding functions <a class="link" href="../special/rounding/round.html" title="Rounding Functions">round</a>,
+ <a class="link" href="../special/rounding/trunc.html" title="Truncation Functions">trunc</a> or <a class="link" href="../special/rounding/modf.html" title="Integer and Fractional Part Splitting (modf)">modf</a> is called with an
argument that has no integer representation, or is too large to be represented
in the result type then the value returned is the result of a call to:
</p>
-<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_rounding_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> Policy<span class="special">);</span>
+<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">raise_rounding_error</span><span class="special"><</span><span class="identifier">T</span><span class="special">>(</span><span class="identifier">FunctionName</span><span class="special">,</span> <span class="identifier">Message</span><span class="special">,</span> <span class="identifier">Val</span><span class="special">,</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">);</span>
</pre>
<p>
Where <code class="computeroutput"><span class="identifier">T</span></code> is the floating point
type passed to the function, <code class="computeroutput"><span class="identifier">FunctionName</span></code>
is the name of the function, <code class="computeroutput"><span class="identifier">Message</span></code>
is an error message describing the problem, <code class="computeroutput"><span class="identifier">Val</span></code>
- is the erroneous argument, and Policy
+ is the erroneous argument, and <a class="link" href="../policy.html" title="Policies">Policy</a>
is the current policy in use for the called function.
</p>
<p>
@@ -1086,8 +1086,8 @@
for more details.
</p>
<a name="checked_narrowing_cast"></a><a name="math_toolkit.main_overview.error_handling.errors_from_typecasts"></a><h5>
-<a name="id505931"></a>
- <a href="error_handling.html#math_toolkit.main_overview.error_handling.errors_from_typecasts">Errors
+<a name="id533371"></a>
+ <a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.errors_from_typecasts">Errors
from typecasts</a>
</h5>
<p>
@@ -1098,19 +1098,19 @@
occur not during evaluation, but when converting the result to the narrower
result type. The function:
</p>
-<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">,</span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">></span>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../policy.html" title="Policies">Policy</a><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">checked_narrowing_cast</span><span class="special">(</span><span class="identifier">U</span> <span class="keyword">const</span><span class="special">&</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">function</span><span class="special">);</span>
</pre>
<p>
Is used to perform these conversions, and will call the error handlers listed
- above on overflow, underflow
- or denormalisation.
+ above on <a class="link" href="error_handling.html#overflow_error">overflow</a>, <a class="link" href="error_handling.html#underflow_error">underflow</a>
+ or <a class="link" href="error_handling.html#denorm_error">denormalisation</a>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>History and What's New</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="perf_over.html" title="Performance">
<link rel="next" href="tr1.html" title="C99 and TR1 C Functions">
@@ -24,15 +24,32 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.history1"></a><a href="history1.html" title="History and What's New"> History and What's
+<a name="math_toolkit.main_overview.history1"></a><a class="link" href="history1.html" title="History and What's New"> History and What's
New</a>
</h3></div></div></div>
<p>
+ <a name="math_toolkit.main_overview.history1.boost_1_38_0"></a>
+ </p>
+<h5>
+<a name="id535097"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_38_0">Boost-1.38.0</a>
+ </h5>
+<p>
+ </p>
+<div class="itemizedlist"><ul type="disc">
+<li>
+ Added Johan Råde's optimised floating point classification routines.
+ </li>
+<li>
+ Fixed code so that it compiles in GCC's -pedantic mode (bug report #1451).
+ </li>
+</ul></div>
+<p>
<a name="math_toolkit.main_overview.history1.boost_1_37_0"></a>
</p>
<h5>
-<a name="id507644"></a>
- Boost-1.37.0
+<a name="id535144"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_37_0">Boost-1.37.0</a>
</h5>
<p>
</p>
@@ -43,8 +60,8 @@
<a name="math_toolkit.main_overview.history1.boost_1_36_0"></a>
</p>
<h5>
-<a name="id507676"></a>
- Boost-1.36.0
+<a name="id535176"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_36_0">Boost-1.36.0</a>
</h5>
<p>
</p>
@@ -81,8 +98,8 @@
<a name="math_toolkit.main_overview.history1.boost_1_35_0__post_review_first_official_release"></a>
</p>
<h5>
-<a name="id507750"></a>
- <a href="history1.html#math_toolkit.main_overview.history1.boost_1_35_0__post_review_first_official_release">Boost-1.35.0:
+<a name="id535250"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_35_0__post_review_first_official_release">Boost-1.35.0:
Post Review First Official Release</a>
</h5>
<p>
@@ -95,7 +112,7 @@
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed default behaviour
for domain, pole and overflow errors to throw an exception (based on
- review feedback), this behaviour can be customised using Policy's.
+ review feedback), this behaviour can be customised using <a class="link" href="../policy.html" title="Policies">Policy</a>'s.
</li>
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed exception thrown
@@ -104,7 +121,7 @@
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed discrete quantiles
to return an integer result: this is anything up to 20 times faster than
- finding the true root, this behaviour can be customised using Policy's.
+ finding the true root, this behaviour can be customised using <a class="link" href="../policy.html" title="Policies">Policy</a>'s.
</li>
<li>
Polynomial/rational function evaluation is now customisable and hopefully
@@ -118,8 +135,8 @@
<a name="math_toolkit.main_overview.history1.milestone_4__second_review_candidate__1st_march_2007_"></a>
</p>
<h5>
-<a name="id507853"></a>
- <a href="history1.html#math_toolkit.main_overview.history1.milestone_4__second_review_candidate__1st_march_2007_">Milestone
+<a name="id535353"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_4__second_review_candidate__1st_march_2007_">Milestone
4: Second Review Candidate (1st March 2007)</a>
</h5>
<p>
@@ -137,8 +154,8 @@
<a name="math_toolkit.main_overview.history1.milestone_3__first_review_candidate__31st_dec_2006_"></a>
</p>
<h5>
-<a name="id507895"></a>
- <a href="history1.html#math_toolkit.main_overview.history1.milestone_3__first_review_candidate__31st_dec_2006_">Milestone
+<a name="id535395"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_3__first_review_candidate__31st_dec_2006_">Milestone
3: First Review Candidate (31st Dec 2006)</a>
</h5>
<p>
@@ -170,8 +187,8 @@
<a name="math_toolkit.main_overview.history1.milestone_2__released_september_10th_2006"></a>
</p>
<h5>
-<a name="id507959"></a>
- <a href="history1.html#math_toolkit.main_overview.history1.milestone_2__released_september_10th_2006">Milestone
+<a name="id535459"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_2__released_september_10th_2006">Milestone
2: Released September 10th 2006</a>
</h5>
<p>
@@ -211,8 +228,8 @@
<a name="math_toolkit.main_overview.history1.milestone_1__released_march_31st_2006"></a>
</p>
<h5>
-<a name="id508035"></a>
- <a href="history1.html#math_toolkit.main_overview.history1.milestone_1__released_march_31st_2006">Milestone
+<a name="id535536"></a>
+ <a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_1__released_march_31st_2006">Milestone
1: Released March 31st 2006</a>
</h5>
<p>
@@ -254,7 +271,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>About the Math Toolkit</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="../main_overview.html" title="Overview">
<link rel="next" href="navigation.html" title="Navigation">
@@ -24,44 +24,44 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.intro"></a> About the Math Toolkit
+<a name="math_toolkit.main_overview.intro"></a><a class="link" href="intro.html" title="About the Math Toolkit"> About the Math Toolkit</a>
</h3></div></div></div>
<p>
This library is divided into three interconnected parts:
</p>
<a name="math_toolkit.main_overview.intro.statistical_distributions"></a><h5>
-<a name="id446191"></a>
- <a href="intro.html#math_toolkit.main_overview.intro.statistical_distributions">Statistical
+<a name="id475218"></a>
+ <a class="link" href="intro.html#math_toolkit.main_overview.intro.statistical_distributions">Statistical
Distributions</a>
</h5>
<p>
- Provides a reasonably comprehensive set of <a href="../dist.html" title="Statistical Distributions and Functions">statistical
+ Provides a reasonably comprehensive set of <a class="link" href="../dist.html" title="Statistical Distributions and Functions">statistical
distributions</a>, upon which higher level statistical tests can be built.
</p>
<p>
The initial focus is on the central <a href="http://en.wikipedia.org/wiki/Univariate" target="_top">univariate
</a> distributions.
Both continuous
- (like normal
- & Fisher)
+ (like <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">normal</a>
+ & <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher</a>)
and discrete
- (like binomial
- & Poisson)
+ (like <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">binomial</a>
+ & <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson</a>)
distributions are provided.
</p>
<p>
- A comprehensive tutorial is provided,
- along with a series of <a href="../dist/stat_tut/weg.html" title="Worked Examples">worked
+ A <a class="link" href="../dist/stat_tut.html" title="Statistical Distributions Tutorial">comprehensive tutorial is provided</a>,
+ along with a series of <a class="link" href="../dist/stat_tut/weg.html" title="Worked Examples">worked
examples</a> illustrating how the library is used to conduct statistical
tests.
</p>
<a name="math_toolkit.main_overview.intro.mathematical_special_functions"></a><h5>
-<a name="id446330"></a>
- <a href="intro.html#math_toolkit.main_overview.intro.mathematical_special_functions">Mathematical
+<a name="id473697"></a>
+ <a class="link" href="intro.html#math_toolkit.main_overview.intro.mathematical_special_functions">Mathematical
Special Functions</a>
</h5>
<p>
- Provides a small number of high quality <a href="../special.html" title="Special Functions">special
+ Provides a small number of high quality <a class="link" href="../special.html" title="Special Functions">special
functions</a>, initially these were concentrated on functions used in
statistical applications along with those in the <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2005/n1836.pdf" target="_top">Technical
Report on C++ Library Extensions</a>.
@@ -83,12 +83,12 @@
<span class="keyword">double</span></code>.
</p>
<a name="math_toolkit.main_overview.intro.implementation_toolkit"></a><h5>
-<a name="id450138"></a>
- <a href="intro.html#math_toolkit.main_overview.intro.implementation_toolkit">Implementation
+<a name="id473822"></a>
+ <a class="link" href="intro.html#math_toolkit.main_overview.intro.implementation_toolkit">Implementation
Toolkit</a>
</h5>
<p>
- Provides many of the tools required
+ Provides <a class="link" href="../toolkit.html" title="Internal Details and Tools (Experimental)">many of the tools</a> required
to implement mathematical special functions: hopefully the presence of these
will encourage other authors to contribute more special function implementations
in the future. These tools are currently considered experimental: they are
@@ -96,31 +96,31 @@
may change.
</p>
<p>
- There are helpers for the <a href="../toolkit/internals1/series_evaluation.html" title="Series Evaluation">evaluation
- of infinite series</a>, <a href="../toolkit/internals1/cf.html" title="Continued Fraction Evaluation">continued
- fractions</a> and <a href="../toolkit/internals1/rational.html" title="Polynomial and Rational Function Evaluation">rational
+ There are helpers for the <a class="link" href="../toolkit/internals1/series_evaluation.html" title="Series Evaluation">evaluation
+ of infinite series</a>, <a class="link" href="../toolkit/internals1/cf.html" title="Continued Fraction Evaluation">continued
+ fractions</a> and <a class="link" href="../toolkit/internals1/rational.html" title="Polynomial and Rational Function Evaluation">rational
approximations</a>.
</p>
<p>
- There is a fairly comprehensive set of root finding and <a href="../toolkit/internals1/minima.html" title="Locating Function Minima">function
- minimisation algorithms</a>: the root finding algorithms are both with and without
+ There is a fairly comprehensive set of root finding and <a class="link" href="../toolkit/internals1/minima.html" title="Locating Function Minima">function
+ minimisation algorithms</a>: the root finding algorithms are both <a class="link" href="../toolkit/internals1/roots.html" title="Root Finding With Derivatives">with</a> and <a class="link" href="../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">without</a>
derivative support.
</p>
<p>
- A <a href="../toolkit/internals2/minimax.html" title="Minimax Approximations and the Remez Algorithm">Remez algorithm
+ A <a class="link" href="../toolkit/internals2/minimax.html" title="Minimax Approximations and the Remez Algorithm">Remez algorithm
implementation</a> allows for the locating of minimax rational approximations.
</p>
<p>
- There are also (experimental) classes for the <a href="../toolkit/internals2/polynomials.html" title="Polynomials">manipulation
- of polynomials</a>, for <a href="../toolkit/internals2/error_test.html" title="Relative Error and Testing">testing
- a special function against tabulated test data</a>, and for the <a href="../toolkit/internals2/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions">rapid generation of test
+ There are also (experimental) classes for the <a class="link" href="../toolkit/internals2/polynomials.html" title="Polynomials">manipulation
+ of polynomials</a>, for <a class="link" href="../toolkit/internals2/error_test.html" title="Relative Error and Testing">testing
+ a special function against tabulated test data</a>, and for the <a class="link" href="../toolkit/internals2/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions">rapid generation of test
data</a> and/or data for output to an external graphing application.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/namespaces.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/namespaces.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/namespaces.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Namespaces</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="directories.html" title="Directory and File Structure">
<link rel="next" href="result_type.html" title="Calculation of the Type of the Result">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.namespaces"></a> Namespaces
+<a name="math_toolkit.main_overview.namespaces"></a><a class="link" href="namespaces.html" title="Namespaces"> Namespaces</a>
</h3></div></div></div>
<p>
All math functions and distributions are in <code class="computeroutput"><span class="keyword">namespace</span>
@@ -53,14 +53,14 @@
<code class="computeroutput"><span class="identifier">min_value</span></code> and <code class="computeroutput"><span class="identifier">epsilon</span></code> are in <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tools</span></code>.
</p>
<p>
- Policy and configuration information
+ <a class="link" href="../policy.html" title="Policies">Policy</a> and configuration information
is in namespace <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span></code>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Navigation</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="intro.html" title="About the Math Toolkit">
<link rel="next" href="directories.html" title="Directory and File Structure">
@@ -24,15 +24,15 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.navigation"></a> Navigation
+<a name="math_toolkit.main_overview.navigation"></a><a class="link" href="navigation.html" title="Navigation"> Navigation</a>
</h3></div></div></div>
<p>
Used in combination with the configured browser key, the following keys act
as handy shortcuts for common navigation tasks.
</p>
<a name="math_toolkit.main_overview.navigation.shortcuts"></a><h6>
-<a name="id450326"></a>
- Shortcuts
+<a name="id477708"></a>
+ <a class="link" href="navigation.html#math_toolkit.main_overview.navigation.shortcuts">Shortcuts</a>
</h6>
<div class="blockquote"><blockquote class="blockquote">
<p>
@@ -140,7 +140,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/perf_over.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/perf_over.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/perf_over.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Performance</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="threads.html" title="Thread Safety">
<link rel="next" href="history1.html" title="History and What's New">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.perf_over"></a> Performance
+<a name="math_toolkit.main_overview.perf_over"></a><a class="link" href="perf_over.html" title="Performance"> Performance</a>
</h3></div></div></div>
<p>
</p>
@@ -57,11 +57,11 @@
<div class="orderedlist"><ol type="1">
<li>
Turn on your compilers optimisations: the difference between "release"
- and "debug" builds can easily be a <a href="../perf/getting_best.html" title="Getting the Best Performance from this Library">factor
+ and "debug" builds can easily be a <a class="link" href="../perf/getting_best.html" title="Getting the Best Performance from this Library">factor
of 20</a>.
</li>
<li>
- Pick your compiler carefully: <a href="../perf/comp_compilers.html" title="Comparing Compilers">performance
+ Pick your compiler carefully: <a class="link" href="../perf/comp_compilers.html" title="Comparing Compilers">performance
differences of up to 8 fold</a> have been found between some windows
compilers for example.
</li>
@@ -69,7 +69,7 @@
<p>
</p>
<p>
- The performance section contains
+ The <a class="link" href="../perf.html" title="Performance">performance section</a> contains
more information on the performance of this library, what you can do to
fine tune it, and how this library compares to some other open source alternatives.
</p>
@@ -79,7 +79,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/pol_overview.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/pol_overview.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/pol_overview.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Configuration and Policies</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="compilers_overview.html" title="Compilers">
<link rel="next" href="threads.html" title="Thread Safety">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.pol_overview"></a><a href="pol_overview.html" title="Configuration and Policies"> Configuration
+<a name="math_toolkit.main_overview.pol_overview"></a><a class="link" href="pol_overview.html" title="Configuration and Policies"> Configuration
and Policies</a>
</h3></div></div></div>
<p>
@@ -32,14 +32,14 @@
<p>
Policies are a powerful fine-grain mechanism that allow you to customise
the behaviour of this library according to your needs. There is more information
- available in the <a href="../policy/pol_tutorial.html" title="Policy Tutorial">policy
- tutorial</a> and the <a href="../policy/pol_ref.html" title="Policy Reference">policy
+ available in the <a class="link" href="../policy/pol_tutorial.html" title="Policy Tutorial">policy
+ tutorial</a> and the <a class="link" href="../policy/pol_ref.html" title="Policy Reference">policy
reference</a>.
</p>
<p>
</p>
<p>
- Generally speaking unless you find that the <a href="../policy/pol_tutorial/policy_tut_defaults.html" title="Policies Have Sensible Defaults">default
+ Generally speaking unless you find that the <a class="link" href="../policy/pol_tutorial/policy_tut_defaults.html" title="Policies Have Sensible Defaults">default
policy behaviour</a> when encountering 'bad' argument values does not
meet your needs, you should not need to worry about policies.
</p>
@@ -64,32 +64,32 @@
</p>
<div class="itemizedlist"><ul type="disc">
<li>
-<a href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">How
+<a class="link" href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">How
results from 'bad' arguments are handled</a>, including those that
cannot be fully evaluated.
</li>
<li>
- How <a href="../policy/pol_ref/internal_promotion.html" title="Internal Promotion Policies">accuracy
+ How <a class="link" href="../policy/pol_ref/internal_promotion.html" title="Internal Promotion Policies">accuracy
is controlled by internal promotion</a> to use more precise types.
</li>
<li>
- What working precision
+ What working <a class="link" href="../policy/pol_ref/precision_pol.html" title="Precision Policies">precision</a>
should be used to calculate results.
</li>
<li>
- What to do when a <a href="../policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">mathematically
+ What to do when a <a class="link" href="../policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">mathematically
undefined function</a> is used: Should this raise a run-time or compile-time
error?
</li>
<li>
- Whether <a href="../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
+ Whether <a class="link" href="../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
functions</a>, like the binomial, should return real or only integral
values, and how they are rounded.
</li>
<li>
How many iterations a special function is permitted to perform in a series
evaluation or root finding algorithm before it gives up and raises an
- evaluation_error.
+ <a class="link" href="error_handling.html#evaluation_error">evaluation_error</a>.
</li>
</ul></div>
<p>
@@ -101,18 +101,18 @@
</p>
<div class="itemizedlist"><ul type="disc">
<li>
- Using macros
+ Using <a class="link" href="../policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">macros</a>
to change any default policy: the is the prefered method for installation
wide policies.
</li>
<li>
- At your chosen <a href="../policy/pol_ref/namespace_pol.html" title="Setting Polices at Namespace Scope">namespace
+ At your chosen <a class="link" href="../policy/pol_ref/namespace_pol.html" title="Setting Polices at Namespace Scope">namespace
scope</a> for distributions and/or functions: this is the prefered
method for project, namespace, or translation unit scope policies.
</li>
<li>
- In an ad-hoc manner <a href="../policy/pol_tutorial/ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">by
- passing a specific policy to a special function</a>, or to a <a href="../policy/pol_tutorial/ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">statistical
+ In an ad-hoc manner <a class="link" href="../policy/pol_tutorial/ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">by
+ passing a specific policy to a special function</a>, or to a <a class="link" href="../policy/pol_tutorial/ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">statistical
distribution</a>.
</li>
</ul></div>
@@ -122,7 +122,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/result_type.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/result_type.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/result_type.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Calculation of the Type of the Result</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="namespaces.html" title="Namespaces">
<link rel="next" href="error_handling.html" title="Error Handling">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.result_type"></a><a href="result_type.html" title="Calculation of the Type of the Result"> Calculation
+<a name="math_toolkit.main_overview.result_type"></a><a class="link" href="result_type.html" title="Calculation of the Type of the Result"> Calculation
of the Type of the Result</a>
</h3></div></div></div>
<p>
@@ -122,7 +122,7 @@
<p>
In the last case, quad_float is convertible to RR, but not vice-versa, so
the result will be an NTL::RR. Note that this assumes that you are using
- a patched NTL library.
+ a <a class="link" href="../using_udt/use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">patched NTL library</a>.
</p>
<p>
These rules are chosen to be compatible with the behaviour of <span class="emphasis"><em>ISO/IEC
@@ -134,7 +134,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/threads.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/threads.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/threads.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Thread Safety</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="pol_overview.html" title="Configuration and Policies">
<link rel="next" href="perf_over.html" title="Performance">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.threads"></a> Thread Safety
+<a name="math_toolkit.main_overview.threads"></a><a class="link" href="threads.html" title="Thread Safety"> Thread Safety</a>
</h3></div></div></div>
<p>
The library is fully thread safe and re-entrant provided the function and
@@ -55,7 +55,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>C99 and TR1 C Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="history1.html" title="History and What's New">
<link rel="next" href="contact.html" title="Contact Info and Support">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.main_overview.tr1"></a> C99 and TR1 C Functions
+<a name="math_toolkit.main_overview.tr1"></a><a class="link" href="tr1.html" title="C99 and TR1 C Functions"> C99 and TR1 C Functions</a>
</h3></div></div></div>
<p>
</p>
@@ -284,8 +284,8 @@
<a name="math_toolkit.main_overview.tr1.usage_recomendations"></a>
</p>
<h5>
-<a name="id508599"></a>
- <a href="tr1.html#math_toolkit.main_overview.tr1.usage_recomendations">Usage
+<a name="id536107"></a>
+ <a class="link" href="tr1.html#math_toolkit.main_overview.tr1.usage_recomendations">Usage
Recomendations</a>
</h5>
<p>
@@ -328,7 +328,7 @@
no templates being instantiated any more), and also speed up debugging
runtimes - since the externally compiled libraries can be compiler optimised,
rather than built using full settings - the difference in performance between
- <a href="../perf/getting_best.html" title="Getting the Best Performance from this Library">release and debug builds
+ <a class="link" href="../perf/getting_best.html" title="Getting the Best Performance from this Library">release and debug builds
can be as much as 20 times</a>, so for complex applications this can
be a big win.
</p>
@@ -336,14 +336,14 @@
<a name="math_toolkit.main_overview.tr1.supported_c99_functions"></a>
</p>
<h5>
-<a name="id508889"></a>
- <a href="tr1.html#math_toolkit.main_overview.tr1.supported_c99_functions">Supported
+<a name="id536398"></a>
+ <a class="link" href="tr1.html#math_toolkit.main_overview.tr1.supported_c99_functions">Supported
C99 Functions</a>
</h5>
<p>
</p>
<p>
- See also the <a href="../special/extern_c/c99.html" title="C99 C Functions">quick reference
+ See also the <a class="link" href="../special/extern_c/c99.html" title="C99 C Functions">quick reference
guide for these functions</a>.
</p>
<p>
@@ -440,14 +440,14 @@
<a name="math_toolkit.main_overview.tr1.supported_tr1_functions"></a>
</p>
<h5>
-<a name="id511691"></a>
- <a href="tr1.html#math_toolkit.main_overview.tr1.supported_tr1_functions">Supported
+<a name="id539199"></a>
+ <a class="link" href="tr1.html#math_toolkit.main_overview.tr1.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
<p>
</p>
<p>
- See also the <a href="../special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">quick reference
+ See also the <a class="link" href="../special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">quick reference
guide for these functions</a>.
</p>
<p>
@@ -572,15 +572,15 @@
with any mixture of <code class="computeroutput"><span class="keyword">float</span></code>,
<code class="computeroutput"><span class="keyword">double</span></code>, <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code>, or <span class="emphasis"><em>integer</em></span>
- arguments is supported, with the return type determined by the <a href="result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ arguments is supported, with the return type determined by the <a class="link" href="result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>.
</p>
<p>
<a name="math_toolkit.main_overview.tr1.currently_unsupported_c99_functions"></a>
</p>
<h5>
-<a name="id515542"></a>
- <a href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_c99_functions">Currently
+<a name="id543049"></a>
+ <a class="link" href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_c99_functions">Currently
Unsupported C99 Functions</a>
</h5>
<p>
@@ -650,8 +650,8 @@
<a name="math_toolkit.main_overview.tr1.currently_unsupported_tr1_functions"></a>
</p>
<h5>
-<a name="id517753"></a>
- <a href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_tr1_functions">Currently
+<a name="id545261"></a>
+ <a class="link" href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>
<p>
@@ -674,7 +674,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Performance</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">
<link rel="next" href="perf/perf_over.html" title="Performance Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.perf"></a> Performance
+<a name="math_toolkit.perf"></a><a class="link" href="perf.html" title="Performance"> Performance</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> Performance Overview</span></dt>
@@ -42,7 +42,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Comparing Compilers</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../perf.html" title="Performance">
<link rel="prev" href="getting_best.html" title="Getting the Best Performance from this Library">
<link rel="next" href="tuning.html" title="Performance Tuning Macros">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.perf.comp_compilers"></a> Comparing Compilers
+<a name="math_toolkit.perf.comp_compilers"></a><a class="link" href="comp_compilers.html" title="Comparing Compilers"> Comparing Compilers</a>
</h3></div></div></div>
<p>
After a good choice of build settings the next most important thing you can
@@ -35,7 +35,7 @@
in this respect).
</p>
<div class="table">
-<a name="id853763"></a><p class="title"><b>Table 48. Performance Comparison of Various Windows Compilers</b></p>
+<a name="id881304"></a><p class="title"><b>Table 48. Performance Comparison of Various Windows Compilers</b></p>
<div class="table-contents"><table class="table" summary="Performance Comparison of Various Windows Compilers">
<colgroup>
<col>
@@ -78,7 +78,7 @@
<tr>
<td>
<p>
- erf
+ <a class="link" href="../special/sf_erf/error_function.html" title="Error Functions">erf</a>
</p>
</td>
<td>
@@ -112,7 +112,7 @@
<tr>
<td>
<p>
- erf_inv
+ <a class="link" href="../special/sf_erf/error_inv.html" title="Error Function Inverses">erf_inv</a>
</p>
</td>
<td>
@@ -146,8 +146,8 @@
<tr>
<td>
<p>
- ibeta
- and ibetac
+ <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
+ and <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>
</p>
</td>
<td>
@@ -181,8 +181,8 @@
<tr>
<td>
<p>
- ibeta_inv
- and ibetac_inv
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>
+ and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>
</p>
</td>
<td>
@@ -216,10 +216,10 @@
<tr>
<td>
<p>
- ibeta_inva,
- ibetac_inva,
- ibeta_invb
- and ibetac_invb
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inva</a>,
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inva</a>,
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_invb</a>
+ and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_invb</a>
</p>
</td>
<td>
@@ -253,8 +253,8 @@
<tr>
<td>
<p>
- gamma_p
- and gamma_q
+ <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>
+ and <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
</p>
</td>
<td>
@@ -288,8 +288,8 @@
<tr>
<td>
<p>
- gamma_p_inv
- and gamma_q_inv
+ <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>
+ and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>
</p>
</td>
<td>
@@ -323,8 +323,8 @@
<tr>
<td>
<p>
- gamma_p_inva
- and gamma_q_inva
+ <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inva</a>
+ and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inva</a>
</p>
</td>
<td>
@@ -363,7 +363,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Comparisons to Other Open Source Libraries</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../perf.html" title="Performance">
<link rel="prev" href="tuning.html" title="Performance Tuning Macros">
<link rel="next" href="perf_test_app.html" title="The Performance Test Application">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.perf.comparisons"></a><a href="comparisons.html" title="Comparisons to Other Open Source Libraries"> Comparisons to Other
+<a name="math_toolkit.perf.comparisons"></a><a class="link" href="comparisons.html" title="Comparisons to Other Open Source Libraries"> Comparisons to Other
Open Source Libraries</a>
</h3></div></div></div>
<p>
@@ -46,8 +46,8 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.perf.comparisons.comparison_to_gsl_1_9_and_cephes"></a><h5>
-<a name="id856223"></a>
- <a href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_gsl_1_9_and_cephes">Comparison
+<a name="id883759"></a>
+ <a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_gsl_1_9_and_cephes">Comparison
to GSL-1.9 and Cephes</a>
</h5>
<p>
@@ -89,7 +89,7 @@
<tr>
<td>
<p>
- tgamma
+ <a class="link" href="../special/sf_gamma/tgamma.html" title="Gamma">tgamma</a>
</p>
</td>
<td>
@@ -123,7 +123,7 @@
<tr>
<td>
<p>
- lgamma
+ <a class="link" href="../special/sf_gamma/lgamma.html" title="Log Gamma">lgamma</a>
</p>
</td>
<td>
@@ -157,8 +157,8 @@
<tr>
<td>
<p>
- gamma_p
- and gamma_q
+ <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>
+ and <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
</p>
</td>
<td>
@@ -192,8 +192,8 @@
<tr>
<td>
<p>
- gamma_p_inv
- and gamma_q_inv
+ <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>
+ and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>
</p>
</td>
<td>
@@ -213,15 +213,15 @@
<td>
<p>
+INF
- <sup>[<a name="id856591" href="#ftn.id856591">1</a>]</sup>
+ <sup>[<a name="id884126" href="#ftn.id884126" class="footnote">1</a>]</sup>
</p>
</td>
</tr>
<tr>
<td>
<p>
- ibeta
- and ibetac
+ <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
+ and <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>
</p>
</td>
<td>
@@ -255,8 +255,8 @@
<tr>
<td>
<p>
- ibeta_inv
- and ibetac_inv
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>
+ and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>
</p>
</td>
<td>
@@ -284,14 +284,14 @@
</td>
</tr>
</tbody>
-<tbody class="footnotes"><tr><td colspan="4"><div class="footnote"><p><sup>[<a name="ftn.id856591" href="#id856591">1</a>] </sup>
+<tbody class="footnotes"><tr><td colspan="4"><div class="footnote"><p><sup>[<a name="ftn.id884126" href="#id884126" class="para">1</a>] </sup>
Cephes gets stuck in an infinite loop while trying to execute
our test cases.
</p></div></td></tr></tbody>
</table></div>
<a name="math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_windows"></a><h5>
-<a name="id856760"></a>
- <a href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_windows">Comparison
+<a name="id884296"></a>
+ <a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_windows">Comparison
to the R Statistical Library on Windows</a>
</h5>
<p>
@@ -301,7 +301,7 @@
appears not to be buildable with Visual C++).
</p>
<div class="table">
-<a name="id856787"></a><p class="title"><b>Table 51. A Comparison to the R Statistical Library on Windows
+<a name="id884323"></a><p class="title"><b>Table 51. A Comparison to the R Statistical Library on Windows
XP</b></p>
<div class="table-contents"><table class="table" summary="A Comparison to the R Statistical Library on Windows
XP">
@@ -331,7 +331,7 @@
<tr>
<td>
<p>
- Beta Distribution
+ <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta Distribution</a>
CDF
</p>
</td>
@@ -357,7 +357,7 @@
<tr>
<td>
<p>
- Beta Distribution
+ <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta Distribution</a>
Quantile
</p>
</td>
@@ -374,7 +374,7 @@
<p>
</p>
<p>74.66
- <sup>[<a name="id856928" href="#ftn.id856928">1</a>]</sup>
+ <sup>[<a name="id884463" href="#ftn.id884463" class="footnote">1</a>]</sup>
</p>
<p> </p>
<p>(4.905e-004s)</p>
@@ -385,7 +385,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
+ <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a> CDF
</p>
</td>
@@ -411,7 +411,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
+ <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a> Quantile
</p>
</td>
@@ -437,7 +437,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
Distribution</a> CDF
</p>
</td>
@@ -463,7 +463,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
Distribution</a> Quantile
</p>
</td>
@@ -489,7 +489,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
+ <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
Squared Distribution</a> CDF
</p>
</td>
@@ -515,7 +515,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
+ <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
Squared Distribution</a> Quantile
</p>
</td>
@@ -541,7 +541,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
+ <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
Distribution</a> CDF
</p>
</td>
@@ -567,7 +567,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
+ <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
Distribution</a> Quantile
</p>
</td>
@@ -593,7 +593,7 @@
<tr>
<td>
<p>
- Fisher F Distribution
+ <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher F Distribution</a>
CDF
</p>
</td>
@@ -619,7 +619,7 @@
<tr>
<td>
<p>
- Fisher F Distribution
+ <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher F Distribution</a>
Quantile
</p>
</td>
@@ -645,7 +645,7 @@
<tr>
<td>
<p>
- Gamma Distribution
+ <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma Distribution</a>
CDF
</p>
</td>
@@ -671,7 +671,7 @@
<tr>
<td>
<p>
- Gamma Distribution
+ <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma Distribution</a>
Quantile
</p>
</td>
@@ -697,7 +697,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
+ <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
Distribution</a> CDF
</p>
</td>
@@ -723,7 +723,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
+ <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
Distribution</a> Quantile
</p>
</td>
@@ -749,7 +749,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
+ <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
Binomial Distribution</a> CDF
</p>
</td>
@@ -775,7 +775,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
+ <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
Binomial Distribution</a> Quantile
</p>
</td>
@@ -792,7 +792,7 @@
<p>
</p>
<p>53.59
- <sup>[<a name="id857776" href="#ftn.id857776">2</a>]</sup>
+ <sup>[<a name="id885312" href="#ftn.id885312" class="footnote">2</a>]</sup>
</p>
<p> </p>
<p>(5.145e-004s)</p>
@@ -803,7 +803,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
Distribution</a> CDF
</p>
</td>
@@ -829,7 +829,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
Distribution</a> Quantile
</p>
</td>
@@ -855,7 +855,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
+ <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
Distribution</a> CDF
</p>
</td>
@@ -881,7 +881,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
+ <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
Distribution</a>
</p>
</td>
@@ -907,7 +907,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
+ <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
t Distribution</a> CDF
</p>
</td>
@@ -933,7 +933,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
+ <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
t Distribution</a> Quantile
</p>
</td>
@@ -959,7 +959,7 @@
<tr>
<td>
<p>
- Weibull Distribution
+ <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull Distribution</a>
CDF
</p>
</td>
@@ -985,7 +985,7 @@
<tr>
<td>
<p>
- Weibull Distribution
+ <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull Distribution</a>
Quantile
</p>
</td>
@@ -1010,12 +1010,12 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="3">
-<div class="footnote"><p><sup>[<a name="ftn.id856928" href="#id856928">1</a>] </sup>
+<div class="footnote"><p><sup>[<a name="ftn.id884463" href="#id884463" class="para">1</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
-<div class="footnote"><p><sup>[<a name="ftn.id857776" href="#id857776">2</a>] </sup>
+<div class="footnote"><p><sup>[<a name="ftn.id885312" href="#id885312" class="para">2</a>] </sup>
The R library appears to use a linear-search strategy, that can
perform very badly in a small number of pathological cases, but
may or may not be more efficient in "typical" cases
@@ -1024,8 +1024,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux"></a><h5>
-<a name="id858226"></a>
- <a href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux">Comparison
+<a name="id885762"></a>
+ <a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux">Comparison
to the R Statistical Library on Linux</a>
</h5>
<p>
@@ -1033,7 +1033,7 @@
Linux machine, with the test program and R-2.5.0 compiled with GNU G++ 4.2.0.
</p>
<div class="table">
-<a name="id858251"></a><p class="title"><b>Table 52. A Comparison to the R Statistical Library on Linux</b></p>
+<a name="id885787"></a><p class="title"><b>Table 52. A Comparison to the R Statistical Library on Linux</b></p>
<div class="table-contents"><table class="table" summary="A Comparison to the R Statistical Library on Linux">
<colgroup>
<col>
@@ -1061,7 +1061,7 @@
<tr>
<td>
<p>
- Beta Distribution
+ <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta Distribution</a>
CDF
</p>
</td>
@@ -1087,7 +1087,7 @@
<tr>
<td>
<p>
- Beta Distribution
+ <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta Distribution</a>
Quantile
</p>
</td>
@@ -1104,7 +1104,7 @@
<p>
</p>
<p>44.06
- <sup>[<a name="id858391" href="#ftn.id858391">1</a>]</sup>
+ <sup>[<a name="id885926" href="#ftn.id885926" class="footnote">1</a>]</sup>
</p>
<p> </p>
<p>(5.701e-004s)</p>
@@ -1115,7 +1115,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
+ <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a> CDF
</p>
</td>
@@ -1141,7 +1141,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
+ <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a> Quantile
</p>
</td>
@@ -1167,7 +1167,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
Distribution</a> CDF
</p>
</td>
@@ -1193,7 +1193,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
Distribution</a> Quantile
</p>
</td>
@@ -1219,7 +1219,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
+ <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
Squared Distribution</a> CDF
</p>
</td>
@@ -1245,7 +1245,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
+ <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
Squared Distribution</a> Quantile
</p>
</td>
@@ -1271,7 +1271,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
+ <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
Distribution</a> CDF
</p>
</td>
@@ -1297,7 +1297,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
+ <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential
Distribution</a> Quantile
</p>
</td>
@@ -1323,7 +1323,7 @@
<tr>
<td>
<p>
- Fisher F Distribution
+ <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher F Distribution</a>
CDF
</p>
</td>
@@ -1349,7 +1349,7 @@
<tr>
<td>
<p>
- Fisher F Distribution
+ <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher F Distribution</a>
Quantile
</p>
</td>
@@ -1375,7 +1375,7 @@
<tr>
<td>
<p>
- Gamma Distribution
+ <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma Distribution</a>
CDF
</p>
</td>
@@ -1401,7 +1401,7 @@
<tr>
<td>
<p>
- Gamma Distribution
+ <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma Distribution</a>
Quantile
</p>
</td>
@@ -1427,7 +1427,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
+ <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
Distribution</a> CDF
</p>
</td>
@@ -1453,7 +1453,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
+ <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal
Distribution</a> Quantile
</p>
</td>
@@ -1479,7 +1479,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
+ <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
Binomial Distribution</a> CDF
</p>
</td>
@@ -1505,7 +1505,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
+ <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
Binomial Distribution</a> Quantile
</p>
</td>
@@ -1522,7 +1522,7 @@
<p>
</p>
<p>30.07
- <sup>[<a name="id859236" href="#ftn.id859236">2</a>]</sup>
+ <sup>[<a name="id886771" href="#ftn.id886771" class="footnote">2</a>]</sup>
</p>
<p> </p>
<p>(5.490e-004s)</p>
@@ -1533,7 +1533,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
Distribution</a> CDF
</p>
</td>
@@ -1559,7 +1559,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
Distribution</a> Quantile
</p>
</td>
@@ -1585,7 +1585,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
+ <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
Distribution</a> CDF
</p>
</td>
@@ -1611,7 +1611,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
+ <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson
Distribution</a>
</p>
</td>
@@ -1637,7 +1637,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
+ <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
t Distribution</a> CDF
</p>
</td>
@@ -1663,7 +1663,7 @@
<tr>
<td>
<p>
- <a href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
+ <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students
t Distribution</a> Quantile
</p>
</td>
@@ -1689,7 +1689,7 @@
<tr>
<td>
<p>
- Weibull Distribution
+ <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull Distribution</a>
CDF
</p>
</td>
@@ -1715,7 +1715,7 @@
<tr>
<td>
<p>
- Weibull Distribution
+ <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull Distribution</a>
Quantile
</p>
</td>
@@ -1740,12 +1740,12 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="3">
-<div class="footnote"><p><sup>[<a name="ftn.id858391" href="#id858391">1</a>] </sup>
+<div class="footnote"><p><sup>[<a name="ftn.id885926" href="#id885926" class="para">1</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
-<div class="footnote"><p><sup>[<a name="ftn.id859236" href="#id859236">2</a>] </sup>
+<div class="footnote"><p><sup>[<a name="ftn.id886771" href="#id886771" class="para">2</a>] </sup>
The R library appears to use a linear-search strategy, that can
perform very badly in a small number of pathological cases, but
may or may not be more efficient in "typical" cases
@@ -1758,7 +1758,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Getting the Best Performance from this Library</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../perf.html" title="Performance">
<link rel="prev" href="interp.html" title="Interpreting these Results">
<link rel="next" href="comp_compilers.html" title="Comparing Compilers">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.perf.getting_best"></a><a href="getting_best.html" title="Getting the Best Performance from this Library"> Getting the Best Performance
+<a name="math_toolkit.perf.getting_best"></a><a class="link" href="getting_best.html" title="Getting the Best Performance from this Library"> Getting the Best Performance
from this Library</a>
</h3></div></div></div>
<p>
@@ -33,7 +33,7 @@
penalty for using the library in debug mode can be quite large.
</p>
<div class="table">
-<a name="id853192"></a><p class="title"><b>Table 47. Performance Comparison of Release and Debug Settings</b></p>
+<a name="id880733"></a><p class="title"><b>Table 47. Performance Comparison of Release and Debug Settings</b></p>
<div class="table-contents"><table class="table" summary="Performance Comparison of Release and Debug Settings">
<colgroup>
<col>
@@ -67,7 +67,7 @@
<tr>
<td>
<p>
- erf
+ <a class="link" href="../special/sf_erf/error_function.html" title="Error Functions">erf</a>
</p>
</td>
<td>
@@ -92,7 +92,7 @@
<tr>
<td>
<p>
- erf_inv
+ <a class="link" href="../special/sf_erf/error_inv.html" title="Error Function Inverses">erf_inv</a>
</p>
</td>
<td>
@@ -117,8 +117,8 @@
<tr>
<td>
<p>
- ibeta
- and ibetac
+ <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
+ and <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>
</p>
</td>
<td>
@@ -143,8 +143,8 @@
<tr>
<td>
<p>
- ibeta_inv
- and ibetac_inv
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>
+ and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>
</p>
</td>
<td>
@@ -169,10 +169,10 @@
<tr>
<td>
<p>
- ibeta_inva,
- ibetac_inva,
- ibeta_invb
- and ibetac_invb
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inva</a>,
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inva</a>,
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_invb</a>
+ and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_invb</a>
</p>
</td>
<td>
@@ -197,8 +197,8 @@
<tr>
<td>
<p>
- gamma_p
- and gamma_q
+ <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>
+ and <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
</p>
</td>
<td>
@@ -223,8 +223,8 @@
<tr>
<td>
<p>
- gamma_p_inv
- and gamma_q_inv
+ <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>
+ and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>
</p>
</td>
<td>
@@ -249,8 +249,8 @@
<tr>
<td>
<p>
- gamma_p_inva
- and gamma_q_inva
+ <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inva</a>
+ and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inva</a>
</p>
</td>
<td>
@@ -280,7 +280,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/interp.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/interp.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/interp.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Interpreting these Results</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../perf.html" title="Performance">
<link rel="prev" href="perf_over.html" title="Performance Overview">
<link rel="next" href="getting_best.html" title="Getting the Best Performance from this Library">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.perf.interp"></a> Interpreting these Results
+<a name="math_toolkit.perf.interp"></a><a class="link" href="interp.html" title="Interpreting these Results"> Interpreting these Results</a>
</h3></div></div></div>
<p>
In all of the following tables, the best performing result in each row, is
@@ -56,7 +56,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_over.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_over.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_over.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Performance Overview</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../perf.html" title="Performance">
<link rel="prev" href="../perf.html" title="Performance">
<link rel="next" href="interp.html" title="Interpreting these Results">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.perf.perf_over"></a> Performance Overview
+<a name="math_toolkit.perf.perf_over"></a><a class="link" href="perf_over.html" title="Performance Overview"> Performance Overview</a>
</h3></div></div></div>
<p>
</p>
@@ -57,11 +57,11 @@
<div class="orderedlist"><ol type="1">
<li>
Turn on your compilers optimisations: the difference between "release"
- and "debug" builds can easily be a <a href="getting_best.html" title="Getting the Best Performance from this Library">factor
+ and "debug" builds can easily be a <a class="link" href="getting_best.html" title="Getting the Best Performance from this Library">factor
of 20</a>.
</li>
<li>
- Pick your compiler carefully: <a href="comp_compilers.html" title="Comparing Compilers">performance
+ Pick your compiler carefully: <a class="link" href="comp_compilers.html" title="Comparing Compilers">performance
differences of up to 8 fold</a> have been found between some windows
compilers for example.
</li>
@@ -69,7 +69,7 @@
<p>
</p>
<p>
- The performance section contains
+ The <a class="link" href="../perf.html" title="Performance">performance section</a> contains
more information on the performance of this library, what you can do to
fine tune it, and how this library compares to some other open source alternatives.
</p>
@@ -79,7 +79,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_test_app.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_test_app.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/perf_test_app.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>The Performance Test Application</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../perf.html" title="Performance">
<link rel="prev" href="comparisons.html" title="Comparisons to Other Open Source Libraries">
<link rel="next" href="../backgrounders.html" title="Backgrounders">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.perf.perf_test_app"></a><a href="perf_test_app.html" title="The Performance Test Application"> The Performance Test
+<a name="math_toolkit.perf.perf_test_app"></a><a class="link" href="perf_test_app.html" title="The Performance Test Application"> The Performance Test
Application</a>
</h3></div></div></div>
<p>
@@ -35,21 +35,21 @@
To run this application yourself, build the all the .cpp files in <span class="emphasis"><em>boost-path</em></span>/libs/math/performance
into an application using your usual release-build settings. Run the application
with --help to see a full list of options, or with --all to test everything
- (which takes quite a while), or with --tune to test the <a href="tuning.html" title="Performance Tuning Macros">available
+ (which takes quite a while), or with --tune to test the <a class="link" href="tuning.html" title="Performance Tuning Macros">available
performance tuning options</a>.
</p>
<p>
If you want to use this application to test the effect of changing any of
- the Policies, then you will need
- to build and run it twice: once with the default Policies,
- and then a second time with the Policies
+ the <a class="link" href="../policy.html" title="Policies">Policies</a>, then you will need
+ to build and run it twice: once with the default <a class="link" href="../policy.html" title="Policies">Policies</a>,
+ and then a second time with the <a class="link" href="../policy.html" title="Policies">Policies</a>
you want to test set as the default.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/tuning.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/tuning.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/perf/tuning.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Performance Tuning Macros</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../perf.html" title="Performance">
<link rel="prev" href="comp_compilers.html" title="Comparing Compilers">
<link rel="next" href="comparisons.html" title="Comparisons to Other Open Source Libraries">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.perf.tuning"></a> Performance Tuning Macros
+<a name="math_toolkit.perf.tuning"></a><a class="link" href="tuning.html" title="Performance Tuning Macros"> Performance Tuning Macros</a>
</h3></div></div></div>
<p>
There are a small number of performance tuning options that are determined
@@ -234,7 +234,7 @@
highly vectorisable processors in the future.
</p>
<div class="table">
-<a name="id854871"></a><p class="title"><b>Table 49. A Comparison of Polynomial Evaluation Methods</b></p>
+<a name="id882407"></a><p class="title"><b>Table 49. A Comparison of Polynomial Evaluation Methods</b></p>
<div class="table-contents"><table class="table" summary="A Comparison of Polynomial Evaluation Methods">
<colgroup>
<col>
@@ -620,21 +620,21 @@
</div>
<br class="table-break"><p>
There is one final performance tuning option that is available as a compile
- time policy. Normally when evaluating
+ time <a class="link" href="../policy.html" title="Policies">policy</a>. Normally when evaluating
functions at <code class="computeroutput"><span class="keyword">double</span></code> precision,
these are actually evaluated at <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code> precision internally: this
helps to ensure that as close to full <code class="computeroutput"><span class="keyword">double</span></code>
precision as possible is achieved, but may slow down execution in some environments.
- The defaults for this policy can be changed by <a href="../policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">defining
+ The defaults for this policy can be changed by <a class="link" href="../policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">defining
the macro <code class="computeroutput"><span class="identifier">BOOST_MATH_PROMOTE_DOUBLE_POLICY</span></code></a>
- to <code class="computeroutput"><span class="keyword">false</span></code>, or <a href="../policy/pol_ref/internal_promotion.html" title="Internal Promotion Policies">by
+ to <code class="computeroutput"><span class="keyword">false</span></code>, or <a class="link" href="../policy/pol_ref/internal_promotion.html" title="Internal Promotion Policies">by
specifying a specific policy</a> when calling the special functions or
- distributions. See also the <a href="../policy/pol_tutorial.html" title="Policy Tutorial">policy
+ distributions. See also the <a class="link" href="../policy/pol_tutorial.html" title="Policy Tutorial">policy
tutorial</a>.
</p>
<div class="table">
-<a name="id855626"></a><p class="title"><b>Table 50. Performance Comparison with and Without Internal
+<a name="id883162"></a><p class="title"><b>Table 50. Performance Comparison with and Without Internal
Promotion to long double</b></p>
<div class="table-contents"><table class="table" summary="Performance Comparison with and Without Internal
Promotion to long double">
@@ -670,7 +670,7 @@
<tr>
<td>
<p>
- erf
+ <a class="link" href="../special/sf_erf/error_function.html" title="Error Functions">erf</a>
</p>
</td>
<td>
@@ -695,7 +695,7 @@
<tr>
<td>
<p>
- erf_inv
+ <a class="link" href="../special/sf_erf/error_inv.html" title="Error Function Inverses">erf_inv</a>
</p>
</td>
<td>
@@ -720,8 +720,8 @@
<tr>
<td>
<p>
- ibeta
- and ibetac
+ <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>
+ and <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a>
</p>
</td>
<td>
@@ -746,8 +746,8 @@
<tr>
<td>
<p>
- ibeta_inv
- and ibetac_inv
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a>
+ and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a>
</p>
</td>
<td>
@@ -772,10 +772,10 @@
<tr>
<td>
<p>
- ibeta_inva,
- ibetac_inva,
- ibeta_invb
- and ibetac_invb
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inva</a>,
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inva</a>,
+ <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_invb</a>
+ and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_invb</a>
</p>
</td>
<td>
@@ -800,8 +800,8 @@
<tr>
<td>
<p>
- gamma_p
- and gamma_q
+ <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>
+ and <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
</p>
</td>
<td>
@@ -826,8 +826,8 @@
<tr>
<td>
<p>
- gamma_p_inv
- and gamma_q_inv
+ <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>
+ and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>
</p>
</td>
<td>
@@ -852,8 +852,8 @@
<tr>
<td>
<p>
- gamma_p_inva
- and gamma_q_inva
+ <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inva</a>
+ and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inva</a>
</p>
</td>
<td>
@@ -883,7 +883,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Policies</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="using_udt/archetypes.html" title="Conceptual Archetypes and Testing">
<link rel="next" href="policy/pol_overview.html" title="Policy Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.policy"></a> Policies
+<a name="math_toolkit.policy"></a><a class="link" href="policy.html" title="Policies"> Policies</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> Policy Overview</span></dt>
@@ -77,7 +77,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_overview.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_overview.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_overview.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Policy Overview</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../policy.html" title="Policies">
<link rel="prev" href="../policy.html" title="Policies">
<link rel="next" href="pol_tutorial.html" title="Policy Tutorial">
@@ -24,21 +24,21 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.policy.pol_overview"></a> Policy Overview
+<a name="math_toolkit.policy.pol_overview"></a><a class="link" href="pol_overview.html" title="Policy Overview"> Policy Overview</a>
</h3></div></div></div>
<p>
</p>
<p>
Policies are a powerful fine-grain mechanism that allow you to customise
the behaviour of this library according to your needs. There is more information
- available in the <a href="pol_tutorial.html" title="Policy Tutorial">policy
- tutorial</a> and the <a href="pol_ref.html" title="Policy Reference">policy
+ available in the <a class="link" href="pol_tutorial.html" title="Policy Tutorial">policy
+ tutorial</a> and the <a class="link" href="pol_ref.html" title="Policy Reference">policy
reference</a>.
</p>
<p>
</p>
<p>
- Generally speaking unless you find that the <a href="pol_tutorial/policy_tut_defaults.html" title="Policies Have Sensible Defaults">default
+ Generally speaking unless you find that the <a class="link" href="pol_tutorial/policy_tut_defaults.html" title="Policies Have Sensible Defaults">default
policy behaviour</a> when encountering 'bad' argument values does not
meet your needs, you should not need to worry about policies.
</p>
@@ -63,32 +63,32 @@
</p>
<div class="itemizedlist"><ul type="disc">
<li>
-<a href="pol_ref/error_handling_policies.html" title="Error Handling Policies">How
+<a class="link" href="pol_ref/error_handling_policies.html" title="Error Handling Policies">How
results from 'bad' arguments are handled</a>, including those that
cannot be fully evaluated.
</li>
<li>
- How <a href="pol_ref/internal_promotion.html" title="Internal Promotion Policies">accuracy
+ How <a class="link" href="pol_ref/internal_promotion.html" title="Internal Promotion Policies">accuracy
is controlled by internal promotion</a> to use more precise types.
</li>
<li>
- What working precision
+ What working <a class="link" href="pol_ref/precision_pol.html" title="Precision Policies">precision</a>
should be used to calculate results.
</li>
<li>
- What to do when a <a href="pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">mathematically
+ What to do when a <a class="link" href="pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">mathematically
undefined function</a> is used: Should this raise a run-time or compile-time
error?
</li>
<li>
- Whether <a href="pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
+ Whether <a class="link" href="pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
functions</a>, like the binomial, should return real or only integral
values, and how they are rounded.
</li>
<li>
How many iterations a special function is permitted to perform in a series
evaluation or root finding algorithm before it gives up and raises an
- evaluation_error.
+ <a class="link" href="../main_overview/error_handling.html#evaluation_error">evaluation_error</a>.
</li>
</ul></div>
<p>
@@ -100,18 +100,18 @@
</p>
<div class="itemizedlist"><ul type="disc">
<li>
- Using macros
+ Using <a class="link" href="pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">macros</a>
to change any default policy: the is the prefered method for installation
wide policies.
</li>
<li>
- At your chosen <a href="pol_ref/namespace_pol.html" title="Setting Polices at Namespace Scope">namespace
+ At your chosen <a class="link" href="pol_ref/namespace_pol.html" title="Setting Polices at Namespace Scope">namespace
scope</a> for distributions and/or functions: this is the prefered
method for project, namespace, or translation unit scope policies.
</li>
<li>
- In an ad-hoc manner <a href="pol_tutorial/ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">by
- passing a specific policy to a special function</a>, or to a <a href="pol_tutorial/ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">statistical
+ In an ad-hoc manner <a class="link" href="pol_tutorial/ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">by
+ passing a specific policy to a special function</a>, or to a <a class="link" href="pol_tutorial/ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">statistical
distribution</a>.
</li>
</ul></div>
@@ -121,7 +121,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Policy Reference</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../policy.html" title="Policies">
<link rel="prev" href="pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">
<link rel="next" href="pol_ref/error_handling_policies.html" title="Error Handling Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.policy.pol_ref"></a> Policy Reference
+<a name="math_toolkit.policy.pol_ref"></a><a class="link" href="pol_ref.html" title="Policy Reference"> Policy Reference</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="pol_ref/error_handling_policies.html">
@@ -50,7 +50,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/assert_undefined.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/assert_undefined.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/assert_undefined.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Mathematically Undefined Function Policies</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="internal_promotion.html" title="Internal Promotion Policies">
<link rel="next" href="discrete_quant_ref.html" title="Discrete Quantile Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.assert_undefined"></a><a href="assert_undefined.html" title="Mathematically Undefined Function Policies"> Mathematically
+<a name="math_toolkit.policy.pol_ref.assert_undefined"></a><a class="link" href="assert_undefined.html" title="Mathematically Undefined Function Policies"> Mathematically
Undefined Function Policies</a>
</h4></div></div></div>
<p>
@@ -75,7 +75,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Discrete Quantile Policies</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="assert_undefined.html" title="Mathematically Undefined Function Policies">
<link rel="next" href="precision_pol.html" title="Precision Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.discrete_quant_ref"></a><a href="discrete_quant_ref.html" title="Discrete Quantile Policies"> Discrete
+<a name="math_toolkit.policy.pol_ref.discrete_quant_ref"></a><a class="link" href="discrete_quant_ref.html" title="Discrete Quantile Policies"> Discrete
Quantile Policies</a>
</h4></div></div></div>
<p>
@@ -55,8 +55,8 @@
can take have the following meanings:
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.real"></a><h6>
-<a name="id842893"></a>
- real
+<a name="id870417"></a>
+ <a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.real">real</a>
</h6>
<p>
Ignores the discreteness of the distribution, and returns a real-valued
@@ -93,8 +93,8 @@
<span class="special">=</span> <span class="number">68.1584</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_outwards"></a><h6>
-<a name="id843380"></a>
- integer_round_outwards
+<a name="id870904"></a>
+ <a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_outwards">integer_round_outwards</a>
</h6>
<p>
This is the default policy: an integer value is returned so that:
@@ -151,8 +151,8 @@
in each tail</em></span>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_inwards"></a><h6>
-<a name="id843900"></a>
- integer_round_inwards
+<a name="id871422"></a>
+ <a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_inwards">integer_round_inwards</a>
</h6>
<p>
This is the opposite of <span class="emphasis"><em>integer_round_outwards</em></span>: an
@@ -214,24 +214,24 @@
in each tail</em></span>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_down"></a><h6>
-<a name="id844554"></a>
- integer_round_down
+<a name="id872076"></a>
+ <a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_down">integer_round_down</a>
</h6>
<p>
Always rounds down to an integer value, no matter whether it's an upper
or a lower quantile.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_up"></a><h6>
-<a name="id844585"></a>
- integer_round_up
+<a name="id872108"></a>
+ <a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_up">integer_round_up</a>
</h6>
<p>
Always rounds up to an integer value, no matter whether it's an upper or
a lower quantile.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_nearest"></a><h6>
-<a name="id844617"></a>
- integer_round_nearest
+<a name="id872139"></a>
+ <a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_nearest">integer_round_nearest</a>
</h6>
<p>
Always rounds to the nearest integer value, no matter whether it's an upper
@@ -276,7 +276,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Error Handling Policies</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="../pol_ref.html" title="Policy Reference">
<link rel="next" href="internal_promotion.html" title="Internal Promotion Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.error_handling_policies"></a><a href="error_handling_policies.html" title="Error Handling Policies">
+<a name="math_toolkit.policy.pol_ref.error_handling_policies"></a><a class="link" href="error_handling_policies.html" title="Error Handling Policies">
Error Handling Policies</a>
</h4></div></div></div>
<p>
@@ -39,8 +39,8 @@
</li>
</ul></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.available_actions_when_an_error_is_raised"></a><h5>
-<a name="id836856"></a>
- <a href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.available_actions_when_an_error_is_raised">Available
+<a name="id864379"></a>
+ <a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.available_actions_when_an_error_is_raised">Available
Actions When an Error is Raised</a>
</h5>
<p>
@@ -62,8 +62,8 @@
The various enumerated values have the following meanings:
</p>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.throw_on_error"></a><h6>
-<a name="id837108"></a>
- throw_on_error
+<a name="id864632"></a>
+ <a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.throw_on_error">throw_on_error</a>
</h6>
<p>
Will throw one of the following exceptions, depending upon the type of
@@ -174,8 +174,8 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.errno_on_error"></a><h6>
-<a name="id837310"></a>
- errno_on_error
+<a name="id864834"></a>
+ <a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.errno_on_error">errno_on_error</a>
</h6>
<p>
Will set global <code class="computeroutput"><span class="special">::</span><span class="identifier">errno</span></code>
@@ -287,8 +287,8 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.ignore_error"></a><h6>
-<a name="id837528"></a>
- ignore_error
+<a name="id865052"></a>
+ <a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.ignore_error">ignore_error</a>
</h6>
<p>
Will return one of the values below depending on the error type (<code class="computeroutput"><span class="special">::</span><span class="identifier">errno</span></code>
@@ -400,8 +400,8 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.user_error"></a><h6>
-<a name="id837748"></a>
- user_error
+<a name="id865272"></a>
+ <a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.user_error">user_error</a>
</h6>
<p>
Will call a user defined error handler: these are forward declared in boost/math/policies/error_handling.hpp,
@@ -445,12 +445,12 @@
it should be replaced with the value of <span class="emphasis"><em>val</em></span>.
</p>
<p>
- There is more information on user-defined error handlers in the <a href="../pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">tutorial
+ There is more information on user-defined error handlers in the <a class="link" href="../pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">tutorial
here</a>.
</p>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.kinds_of_error_raised"></a><h5>
-<a name="id838949"></a>
- <a href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.kinds_of_error_raised">Kinds
+<a name="id866472"></a>
+ <a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.kinds_of_error_raised">Kinds
of Error Raised</a>
</h5>
<p>
@@ -618,9 +618,9 @@
</td>
<td>
<p>
- Raised When one of the rounding functions round,
- trunc
- or modf
+ Raised When one of the rounding functions <a class="link" href="../../special/rounding/round.html" title="Rounding Functions">round</a>,
+ <a class="link" href="../../special/rounding/trunc.html" title="Truncation Functions">trunc</a>
+ or <a class="link" href="../../special/rounding/modf.html" title="Integer and Fractional Part Splitting (modf)">modf</a>
is called with an argument that has no integer representation,
or is too large to be represented in the result type
</p>
@@ -688,8 +688,8 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.examples"></a><h5>
-<a name="id840080"></a>
- Examples
+<a name="id867603"></a>
+ <a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.examples">Examples</a>
</h5>
<p>
Suppose we want a call to <code class="computeroutput"><span class="identifier">tgamma</span></code>
@@ -764,7 +764,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Internal Promotion Policies</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="error_handling_policies.html" title="Error Handling Policies">
<link rel="next" href="assert_undefined.html" title="Mathematically Undefined Function Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.internal_promotion"></a><a href="internal_promotion.html" title="Internal Promotion Policies"> Internal
+<a name="math_toolkit.policy.pol_ref.internal_promotion"></a><a class="link" href="internal_promotion.html" title="Internal Promotion Policies"> Internal
Promotion Policies</a>
</h4></div></div></div>
<p>
@@ -84,8 +84,8 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.internal_promotion.examples"></a><h5>
-<a name="id841394"></a>
- Examples
+<a name="id868917"></a>
+ <a class="link" href="internal_promotion.html#math_toolkit.policy.pol_ref.internal_promotion.examples">Examples</a>
</h5>
<p>
Suppose we want <code class="computeroutput"><span class="identifier">tgamma</span></code>
@@ -152,7 +152,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/iteration_pol.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/iteration_pol.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/iteration_pol.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Iteration Limits Policies</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="precision_pol.html" title="Precision Policies">
<link rel="next" href="policy_defaults.html" title="Using macros to Change the Policy Defaults">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.iteration_pol"></a><a href="iteration_pol.html" title="Iteration Limits Policies"> Iteration
+<a name="math_toolkit.policy.pol_ref.iteration_pol"></a><a class="link" href="iteration_pol.html" title="Iteration Limits Policies"> Iteration
Limits Policies</a>
</h4></div></div></div>
<p>
@@ -40,19 +40,19 @@
<p>
The class <code class="computeroutput"><span class="identifier">max_series_iterations</span></code>
determines the maximum number of iterations permitted in a series evaluation,
- before the special function gives up and returns the result of evaluation_error.
+ before the special function gives up and returns the result of <a class="link" href="../../main_overview/error_handling.html#evaluation_error">evaluation_error</a>.
</p>
<p>
The class <code class="computeroutput"><span class="identifier">max_root_iterations</span></code>
determines the maximum number of iterations permitted in a root-finding
algorithm before the special function gives up and returns the result of
- evaluation_error.
+ <a class="link" href="../../main_overview/error_handling.html#evaluation_error">evaluation_error</a>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/namespace_pol.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/namespace_pol.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/namespace_pol.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Setting Polices at Namespace Scope</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="policy_defaults.html" title="Using macros to Change the Policy Defaults">
<link rel="next" href="pol_ref_ref.html" title="Policy Class Reference">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.namespace_pol"></a><a href="namespace_pol.html" title="Setting Polices at Namespace Scope"> Setting
+<a name="math_toolkit.policy.pol_ref.namespace_pol"></a><a class="link" href="namespace_pol.html" title="Setting Polices at Namespace Scope"> Setting
Polices at Namespace Scope</a>
</h4></div></div></div>
<p>
@@ -152,7 +152,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/pol_ref_ref.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/pol_ref_ref.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/pol_ref_ref.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Policy Class Reference</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="namespace_pol.html" title="Setting Polices at Namespace Scope">
<link rel="next" href="../../perf.html" title="Performance">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.pol_ref_ref"></a><a href="pol_ref_ref.html" title="Policy Class Reference"> Policy Class
+<a name="math_toolkit.policy.pol_ref.pol_ref_ref"></a><a class="link" href="pol_ref_ref.html" title="Policy Class Reference"> Policy Class
Reference</a>
</h4></div></div></div>
<p>
@@ -246,7 +246,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Using macros to Change the Policy Defaults</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="iteration_pol.html" title="Iteration Limits Policies">
<link rel="next" href="namespace_pol.html" title="Setting Polices at Namespace Scope">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.policy_defaults"></a><a href="policy_defaults.html" title="Using macros to Change the Policy Defaults"> Using
+<a name="math_toolkit.policy.pol_ref.policy_defaults"></a><a class="link" href="policy_defaults.html" title="Using macros to Change the Policy Defaults"> Using
macros to Change the Policy Defaults</a>
</h4></div></div></div>
<p>
@@ -61,8 +61,8 @@
then you can do so by defining various macros in boost/math/tools/user.hpp.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_domain_error_policy"></a><h6>
-<a name="id846419"></a>
- BOOST_MATH_DOMAIN_ERROR_POLICY
+<a name="id873942"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_domain_error_policy">BOOST_MATH_DOMAIN_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when a domain error occurs, if not defined then defaults
@@ -71,8 +71,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_pole_error_policy"></a><h6>
-<a name="id846512"></a>
- BOOST_MATH_POLE_ERROR_POLICY
+<a name="id874035"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_pole_error_policy">BOOST_MATH_POLE_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when a pole error occurs, if not defined then defaults
@@ -81,8 +81,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_overflow_error_policy"></a><h6>
-<a name="id846604"></a>
- BOOST_MATH_OVERFLOW_ERROR_POLICY
+<a name="id874127"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_overflow_error_policy">BOOST_MATH_OVERFLOW_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when an overflow error occurs, if not defined then
@@ -91,8 +91,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_rounding_error_policy"></a><h6>
-<a name="id846697"></a>
- BOOST_MATH_ROUNDING_ERROR_POLICY
+<a name="id874220"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_rounding_error_policy">BOOST_MATH_ROUNDING_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when a rounding error occurs, if not defined then
@@ -101,8 +101,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_evaluation_error_policy"></a><h6>
-<a name="id846790"></a>
- BOOST_MATH_EVALUATION_ERROR_POLICY
+<a name="id874313"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_evaluation_error_policy">BOOST_MATH_EVALUATION_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when an internal evaluation error occurs, if not defined
@@ -111,8 +111,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_underflow_error_policy"></a><h6>
-<a name="id846883"></a>
- BOOST_MATH_UNDERFLOW_ERROR_POLICY
+<a name="id874406"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_underflow_error_policy">BOOST_MATH_UNDERFLOW_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when an overflow error occurs, if not defined then
@@ -121,8 +121,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_denorm_error_policy"></a><h6>
-<a name="id846976"></a>
- BOOST_MATH_DENORM_ERROR_POLICY
+<a name="id874499"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_denorm_error_policy">BOOST_MATH_DENORM_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when a denormalisation error occurs, if not defined
@@ -131,8 +131,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_indeterminate_result_error_policy"></a><h6>
-<a name="id847070"></a>
- BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY
+<a name="id874592"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_indeterminate_result_error_policy">BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY</a>
</h6>
<p>
Defines what happens when the result is indeterminate, but where there
@@ -142,8 +142,8 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_digits10_policy"></a><h6>
-<a name="id847165"></a>
- BOOST_MATH_DIGITS10_POLICY
+<a name="id874688"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_digits10_policy">BOOST_MATH_DIGITS10_POLICY</a>
</h6>
<p>
Defines how many decimal digits to use in internal computations: defaults
@@ -153,8 +153,8 @@
recommended that you change this from the default.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_float_policy"></a><h6>
-<a name="id847214"></a>
- BOOST_MATH_PROMOTE_FLOAT_POLICY
+<a name="id874737"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_float_policy">BOOST_MATH_PROMOTE_FLOAT_POLICY</a>
</h6>
<p>
Determines whether <code class="computeroutput"><span class="keyword">float</span></code> types
@@ -165,8 +165,8 @@
off.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_double_policy"></a><h6>
-<a name="id847306"></a>
- BOOST_MATH_PROMOTE_DOUBLE_POLICY
+<a name="id874829"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_double_policy">BOOST_MATH_PROMOTE_DOUBLE_POLICY</a>
</h6>
<p>
Determines whether <code class="computeroutput"><span class="keyword">double</span></code>
@@ -177,8 +177,8 @@
off.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_discrete_quantile_policy"></a><h6>
-<a name="id847405"></a>
- BOOST_MATH_DISCRETE_QUANTILE_POLICY
+<a name="id874927"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_discrete_quantile_policy">BOOST_MATH_DISCRETE_QUANTILE_POLICY</a>
</h6>
<p>
Determines how discrete quantiles return their results: either as an integer,
@@ -188,8 +188,8 @@
Defaults to <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_assert_undefined_policy"></a><h6>
-<a name="id847521"></a>
- BOOST_MATH_ASSERT_UNDEFINED_POLICY
+<a name="id875044"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_assert_undefined_policy">BOOST_MATH_ASSERT_UNDEFINED_POLICY</a>
</h6>
<p>
Determines whether functions that are mathematically undefined for a specific
@@ -201,26 +201,26 @@
whether or not a particular property is well defined.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_series_iteration_policy"></a><h6>
-<a name="id847584"></a>
- BOOST_MATH_MAX_SERIES_ITERATION_POLICY
+<a name="id875107"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_series_iteration_policy">BOOST_MATH_MAX_SERIES_ITERATION_POLICY</a>
</h6>
<p>
Determines how many series iterations a special function is permitted to
- perform before it gives up and returns an evaluation_error:
+ perform before it gives up and returns an <a class="link" href="../../main_overview/error_handling.html#evaluation_error">evaluation_error</a>:
Defaults to 1000000.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_root_iteration_policy"></a><h6>
-<a name="id847626"></a>
- BOOST_MATH_MAX_ROOT_ITERATION_POLICY
+<a name="id875148"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_root_iteration_policy">BOOST_MATH_MAX_ROOT_ITERATION_POLICY</a>
</h6>
<p>
Determines how many root-finding iterations a special function is permitted
- to perform before it gives up and returns an evaluation_error:
+ to perform before it gives up and returns an <a class="link" href="../../main_overview/error_handling.html#evaluation_error">evaluation_error</a>:
Defaults to 200.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.example"></a><h6>
-<a name="id847667"></a>
- Example
+<a name="id875191"></a>
+ <a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.example">Example</a>
</h6>
<p>
Suppose we want overflow errors to set <code class="computeroutput"><span class="special">::</span><span class="identifier">errno</span></code> and return an infinity, discrete
@@ -245,7 +245,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/precision_pol.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/precision_pol.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/precision_pol.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Precision Policies</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_ref.html" title="Policy Reference">
<link rel="prev" href="discrete_quant_ref.html" title="Discrete Quantile Policies">
<link rel="next" href="iteration_pol.html" title="Iteration Limits Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_ref.precision_pol"></a><a href="precision_pol.html" title="Precision Policies"> Precision
+<a name="math_toolkit.policy.pol_ref.precision_pol"></a><a class="link" href="precision_pol.html" title="Precision Policies"> Precision
Policies</a>
</h4></div></div></div>
<p>
@@ -123,7 +123,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Policy Tutorial</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../policy.html" title="Policies">
<link rel="prev" href="pol_overview.html" title="Policy Overview">
<link rel="next" href="pol_tutorial/what_is_a_policy.html" title="So Just What is a Policy Anyway?">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.policy.pol_tutorial"></a> Policy Tutorial
+<a name="math_toolkit.policy.pol_tutorial"></a><a class="link" href="pol_tutorial.html" title="Policy Tutorial"> Policy Tutorial</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="pol_tutorial/what_is_a_policy.html">
@@ -50,7 +50,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Setting Policies for Distributions on an Ad Hoc Basis</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="changing_policy_defaults.html" title="Changing the Policy Defaults">
<link rel="next" href="ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.ad_hoc_dist_policies"></a><a href="ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">
+<a name="math_toolkit.policy.pol_tutorial.ad_hoc_dist_policies"></a><a class="link" href="ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">
Setting Policies for Distributions on an Ad Hoc Basis</a>
</h4></div></div></div>
<p>
@@ -94,7 +94,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Changing the Policy on an Ad Hoc Basis for the Special Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">
<link rel="next" href="namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.ad_hoc_sf_policies"></a><a href="ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">
+<a name="math_toolkit.policy.pol_tutorial.ad_hoc_sf_policies"></a><a class="link" href="ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">
Changing the Policy on an Ad Hoc Basis for the Special Functions</a>
</h4></div></div></div>
<p>
@@ -153,7 +153,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/changing_policy_defaults.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/changing_policy_defaults.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/changing_policy_defaults.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Changing the Policy Defaults</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="policy_usage.html" title="So How are Policies Used Anyway?">
<link rel="next" href="ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.changing_policy_defaults"></a><a href="changing_policy_defaults.html" title="Changing the Policy Defaults">
+<a name="math_toolkit.policy.pol_tutorial.changing_policy_defaults"></a><a class="link" href="changing_policy_defaults.html" title="Changing the Policy Defaults">
Changing the Policy Defaults</a>
</h4></div></div></div>
<p>
@@ -317,7 +317,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/namespace_policies.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/namespace_policies.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/namespace_policies.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Setting Policies at Namespace or Translation Unit Scope</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">
<link rel="next" href="user_def_err_pol.html" title="Calling User Defined Error Handlers">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.namespace_policies"></a><a href="namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope">
+<a name="math_toolkit.policy.pol_tutorial.namespace_policies"></a><a class="link" href="namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope">
Setting Policies at Namespace or Translation Unit Scope</a>
</h4></div></div></div>
<p>
@@ -449,7 +449,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_tut_defaults.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_tut_defaults.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_tut_defaults.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Policies Have Sensible Defaults</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="what_is_a_policy.html" title="So Just What is a Policy Anyway?">
<link rel="next" href="policy_usage.html" title="So How are Policies Used Anyway?">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.policy_tut_defaults"></a><a href="policy_tut_defaults.html" title="Policies Have Sensible Defaults">
+<a name="math_toolkit.policy.pol_tutorial.policy_tut_defaults"></a><a class="link" href="policy_tut_defaults.html" title="Policies Have Sensible Defaults">
Policies Have Sensible Defaults</a>
</h4></div></div></div>
<p>
@@ -94,10 +94,10 @@
</p>
<p>
This behaviour can be changed so that the quantile functions are rounded
- differently, or even return a real-valued result using Policies.
- It is strongly recommended that you read the tutorial <a href="understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ differently, or even return a real-valued result using <a class="link" href="../pol_overview.html" title="Policy Overview">Policies</a>.
+ It is strongly recommended that you read the tutorial <a class="link" href="understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
Quantiles of Discrete Distributions</a> before using the quantile
- function on a discrete distribution. The <a href="../pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ function on a discrete distribution. The <a class="link" href="../pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
docs</a> describe how to change the rounding policy for these distributions.
</p>
</dd>
@@ -123,7 +123,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_usage.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_usage.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_usage.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>So How are Policies Used Anyway?</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="policy_tut_defaults.html" title="Policies Have Sensible Defaults">
<link rel="next" href="changing_policy_defaults.html" title="Changing the Policy Defaults">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.policy_usage"></a><a href="policy_usage.html" title="So How are Policies Used Anyway?"> So
+<a name="math_toolkit.policy.pol_tutorial.policy_usage"></a><a class="link" href="policy_usage.html" title="So How are Policies Used Anyway?"> So
How are Policies Used Anyway?</a>
</h4></div></div></div>
<p>
@@ -57,7 +57,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Understanding Quantiles of Discrete Distributions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="user_def_err_pol.html" title="Calling User Defined Error Handlers">
<link rel="next" href="../pol_ref.html" title="Policy Reference">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.understand_dis_quant"></a><a href="understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">
+<a name="math_toolkit.policy.pol_tutorial.understand_dis_quant"></a><a class="link" href="understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">
Understanding Quantiles of Discrete Distributions</a>
</h4></div></div></div>
<p>
@@ -177,8 +177,8 @@
<span class="emphasis"><em>base your comparisons on CDF's instead</em></span>.
</p>
<a name="math_toolkit.policy.pol_tutorial.understand_dis_quant.other_rounding_policies_are_available"></a><h6>
-<a name="id833371"></a>
- <a href="understand_dis_quant.html#math_toolkit.policy.pol_tutorial.understand_dis_quant.other_rounding_policies_are_available">Other
+<a name="id860894"></a>
+ <a class="link" href="understand_dis_quant.html#math_toolkit.policy.pol_tutorial.understand_dis_quant.other_rounding_policies_are_available">Other
Rounding Policies are Available</a>
</h6>
<p>
@@ -419,7 +419,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/user_def_err_pol.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/user_def_err_pol.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/user_def_err_pol.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Calling User Defined Error Handlers</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope">
<link rel="next" href="understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.user_def_err_pol"></a><a href="user_def_err_pol.html" title="Calling User Defined Error Handlers">
+<a name="math_toolkit.policy.pol_tutorial.user_def_err_pol"></a><a class="link" href="user_def_err_pol.html" title="Calling User Defined Error Handlers">
Calling User Defined Error Handlers</a>
</h4></div></div></div>
<p>
@@ -614,7 +614,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/what_is_a_policy.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/what_is_a_policy.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/what_is_a_policy.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>So Just What is a Policy Anyway?</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="prev" href="../pol_tutorial.html" title="Policy Tutorial">
<link rel="next" href="policy_tut_defaults.html" title="Policies Have Sensible Defaults">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.policy.pol_tutorial.what_is_a_policy"></a><a href="what_is_a_policy.html" title="So Just What is a Policy Anyway?">
+<a name="math_toolkit.policy.pol_tutorial.what_is_a_policy"></a><a class="link" href="what_is_a_policy.html" title="So Just What is a Policy Anyway?">
So Just What is a Policy Anyway?</a>
</h4></div></div></div>
<p>
@@ -73,7 +73,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Special Functions</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="dist/future.html" title="Extras/Future Directions">
<link rel="next" href="special/sf_gamma.html" title="Gamma Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.special"></a> Special Functions
+<a name="math_toolkit.special"></a><a class="link" href="special.html" title="Special Functions"> Special Functions</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> Gamma Functions</span></dt>
@@ -181,7 +181,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Bessel Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="sf_poly/sph_harm.html" title="Spherical Harmonics">
<link rel="next" href="bessel/bessel_over.html" title="Bessel Function Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.bessel"></a> Bessel Functions
+<a name="math_toolkit.special.bessel"></a><a class="link" href="bessel.html" title="Bessel Functions"> Bessel Functions</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="bessel/bessel_over.html"> Bessel Function
@@ -48,7 +48,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Bessel Functions of the First and Second Kinds</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../bessel.html" title="Bessel Functions">
<link rel="prev" href="bessel_over.html" title="Bessel Function Overview">
<link rel="next" href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">
@@ -24,32 +24,32 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.bessel.bessel"></a><a href="bessel.html" title="Bessel Functions of the First and Second Kinds"> Bessel Functions
+<a name="math_toolkit.special.bessel.bessel"></a><a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds"> Bessel Functions
of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.bessel.synopsis"></a><h5>
-<a name="id707608"></a>
- Synopsis
+<a name="id735112"></a>
+ <a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">cyl_bessel_j</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_j</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">cyl_bessel_j</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_j</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">cyl_neumann</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_neumann</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">cyl_neumann</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_neumann</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<a name="math_toolkit.special.bessel.bessel.description"></a><h5>
-<a name="id708116"></a>
- Description
+<a name="id735621"></a>
+ <a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.description">Description</a>
</h5>
<p>
- The functions cyl_bessel_j
- and cyl_neumann
+ The functions <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>
+ and <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a>
return the result of the Bessel functions of the first and second kinds
respectively:
</p>
@@ -69,7 +69,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/bessel3.png"></span>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types.
The functions are also optimised for the relatively common case that T1
is an integer.
@@ -77,22 +77,22 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- The functions return the result of domain_error
- whenever the result is undefined or complex. For cyl_bessel_j
+ The functions return the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
+ whenever the result is undefined or complex. For <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>
this occurs when <code class="computeroutput"><span class="identifier">x</span> <span class="special"><</span>
<span class="number">0</span></code> and v is not an integer, or when
<code class="computeroutput"><span class="identifier">x</span> <span class="special">==</span>
<span class="number">0</span></code> and <code class="computeroutput"><span class="identifier">v</span>
<span class="special">!=</span> <span class="number">0</span></code>.
- For cyl_neumann
+ For <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a>
this occurs when <code class="computeroutput"><span class="identifier">x</span> <span class="special"><=</span>
<span class="number">0</span></code>.
</p>
@@ -110,8 +110,8 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cyl_neumann.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.bessel.testing"></a><h5>
-<a name="id708517"></a>
- Testing
+<a name="id736022"></a>
+ <a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.testing">Testing</a>
</h5>
<p>
There are two sets of test values: spot values calculated using functions.wolfram.com, and a
@@ -119,8 +119,8 @@
(with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.bessel.accuracy"></a><h5>
-<a name="id708556"></a>
- Accuracy
+<a name="id736061"></a>
+ <a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.accuracy">Accuracy</a>
</h5>
<p>
The following tables show how the accuracy of these functions varies on
@@ -131,11 +131,11 @@
large <span class="emphasis"><em>relative</em></span> errors when the arguments are sufficiently
close to a root. Of course the absolute error in such cases is always small.
Note that only results for the widest floating-point type on the system
- are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>. All values are relative errors in units of epsilon.
</p>
<div class="table">
-<a name="id708613"></a><p class="title"><b>Table 36. Errors Rates in cyl_bessel_j</b></p>
+<a name="id736117"></a><p class="title"><b>Table 36. Errors Rates in cyl_bessel_j</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_bessel_j">
<colgroup>
<col>
@@ -304,7 +304,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id708917"></a><p class="title"><b>Table 37. Errors Rates in cyl_neumann</b></p>
+<a name="id736421"></a><p class="title"><b>Table 37. Errors Rates in cyl_neumann</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_neumann">
<colgroup>
<col>
@@ -494,8 +494,8 @@
were found.
</p>
<a name="math_toolkit.special.bessel.bessel.implementation"></a><h5>
-<a name="id709346"></a>
- Implementation
+<a name="id736850"></a>
+ <a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.implementation">Implementation</a>
</h5>
<p>
The implementation is mostly about filtering off various special cases:
@@ -658,7 +658,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Bessel Function Overview</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../bessel.html" title="Bessel Functions">
<link rel="prev" href="../bessel.html" title="Bessel Functions">
<link rel="next" href="bessel.html" title="Bessel Functions of the First and Second Kinds">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.bessel.bessel_over"></a><a href="bessel_over.html" title="Bessel Function Overview"> Bessel Function
+<a name="math_toolkit.special.bessel.bessel_over"></a><a class="link" href="bessel_over.html" title="Bessel Function Overview"> Bessel Function
Overview</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.bessel_over.ordinary_bessel_functions"></a><h5>
-<a name="id706620"></a>
- <a href="bessel_over.html#math_toolkit.special.bessel.bessel_over.ordinary_bessel_functions">Ordinary
+<a name="id734124"></a>
+ <a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.ordinary_bessel_functions">Ordinary
Bessel Functions</a>
</h5>
<p>
@@ -56,7 +56,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/bessel2.png"></span>
</p>
<p>
- This function is implemented in this library as cyl_bessel_j.
+ This function is implemented in this library as <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>.
</p>
<p>
The second solution is denoted either Y<sub>v</sub> or N<sub>v</sub>
@@ -67,7 +67,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/bessel3.png"></span>
</p>
<p>
- This function is implemented in this library as cyl_neumann.
+ This function is implemented in this library as <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a>.
</p>
<p>
The Bessel functions satisfy the recurrence relations:
@@ -103,8 +103,8 @@
<span class="inlinemediaobject"><img src="../../../../equations/bessel10.png"></span>
</p>
<a name="math_toolkit.special.bessel.bessel_over.modified_bessel_functions"></a><h5>
-<a name="id707036"></a>
- <a href="bessel_over.html#math_toolkit.special.bessel.bessel_over.modified_bessel_functions">Modified
+<a name="id734541"></a>
+ <a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.modified_bessel_functions">Modified
Bessel Functions</a>
</h5>
<p>
@@ -129,8 +129,8 @@
<span class="inlinemediaobject"><img src="../../../../equations/mbessel3.png"></span>
</p>
<p>
- These functions are implemented in this library as cyl_bessel_i
- and cyl_bessel_k
+ These functions are implemented in this library as <a class="link" href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a>
+ and <a class="link" href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_k</a>
respectively.
</p>
<p>
@@ -167,8 +167,8 @@
<span class="inlinemediaobject"><img src="../../../../equations/mbessel10.png"></span>
</p>
<a name="math_toolkit.special.bessel.bessel_over.spherical_bessel_functions"></a><h5>
-<a name="id707432"></a>
- <a href="bessel_over.html#math_toolkit.special.bessel.bessel_over.spherical_bessel_functions">Spherical
+<a name="id734937"></a>
+ <a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.spherical_bessel_functions">Spherical
Bessel Functions</a>
</h5>
<p>
@@ -192,14 +192,14 @@
spherical Neumann function n<sub>n</sub>.
</p>
<p>
- These functions are implemented in this library as sph_bessel
- and sph_neumann.
+ These functions are implemented in this library as <a class="link" href="sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_bessel</a>
+ and <a class="link" href="sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_neumann</a>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Modified Bessel Functions of the First and Second Kinds</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../bessel.html" title="Bessel Functions">
<link rel="prev" href="bessel.html" title="Bessel Functions of the First and Second Kinds">
<link rel="next" href="sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">
@@ -24,32 +24,32 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.bessel.mbessel"></a><a href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds"> Modified Bessel
+<a name="math_toolkit.special.bessel.mbessel"></a><a class="link" href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds"> Modified Bessel
Functions of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.mbessel.synopsis"></a><h5>
-<a name="id710134"></a>
- Synopsis
+<a name="id737639"></a>
+ <a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">cyl_bessel_i</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_i</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">cyl_bessel_i</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_i</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">cyl_bessel_k</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_k</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">cyl_bessel_k</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_k</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<a name="math_toolkit.special.bessel.mbessel.description"></a><h5>
-<a name="id710643"></a>
- Description
+<a name="id738148"></a>
+ <a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.description">Description</a>
</h5>
<p>
- The functions cyl_bessel_i
- and cyl_bessel_k
+ The functions <a class="link" href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a>
+ and <a class="link" href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_k</a>
return the result of the modified Bessel functions of the first and second
kind respectively:
</p>
@@ -69,7 +69,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/mbessel3.png"></span>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types.
The functions are also optimised for the relatively common case that T1
is an integer.
@@ -77,22 +77,22 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- The functions return the result of domain_error
- whenever the result is undefined or complex. For cyl_bessel_j
+ The functions return the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
+ whenever the result is undefined or complex. For <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>
this occurs when <code class="computeroutput"><span class="identifier">x</span> <span class="special"><</span>
<span class="number">0</span></code> and v is not an integer, or when
<code class="computeroutput"><span class="identifier">x</span> <span class="special">==</span>
<span class="number">0</span></code> and <code class="computeroutput"><span class="identifier">v</span>
<span class="special">!=</span> <span class="number">0</span></code>.
- For cyl_neumann
+ For <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a>
this occurs when <code class="computeroutput"><span class="identifier">x</span> <span class="special"><=</span>
<span class="number">0</span></code>.
</p>
@@ -109,8 +109,8 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cyl_bessel_k.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.mbessel.testing"></a><h5>
-<a name="id711032"></a>
- Testing
+<a name="id738538"></a>
+ <a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.testing">Testing</a>
</h5>
<p>
There are two sets of test values: spot values calculated using functions.wolfram.com, and a
@@ -118,18 +118,18 @@
(with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.mbessel.accuracy"></a><h5>
-<a name="id711071"></a>
- Accuracy
+<a name="id738576"></a>
+ <a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.accuracy">Accuracy</a>
</h5>
<p>
The following tables show how the accuracy of these functions varies on
various platforms, along with a comparison to the GSL-1.9
library. Note that only results for the widest floating-point type on the
- system are given, as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ system are given, as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>. All values are relative errors in units of epsilon.
</p>
<div class="table">
-<a name="id711111"></a><p class="title"><b>Table 38. Errors Rates in cyl_bessel_i</b></p>
+<a name="id738616"></a><p class="title"><b>Table 38. Errors Rates in cyl_bessel_i</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_bessel_i">
<colgroup>
<col>
@@ -226,7 +226,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id711266"></a><p class="title"><b>Table 39. Errors Rates in cyl_bessel_k</b></p>
+<a name="id738771"></a><p class="title"><b>Table 39. Errors Rates in cyl_bessel_k</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_bessel_k">
<colgroup>
<col>
@@ -326,8 +326,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.bessel.mbessel.implementation"></a><h5>
-<a name="id711434"></a>
- Implementation
+<a name="id738939"></a>
+ <a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.implementation">Implementation</a>
</h5>
<p>
The following are handled as special cases first:
@@ -470,7 +470,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Spherical Bessel Functions of the First and Second Kinds</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../bessel.html" title="Bessel Functions">
<link rel="prev" href="mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">
<link rel="next" href="../ellint.html" title="Elliptic Integrals">
@@ -24,32 +24,32 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.bessel.sph_bessel"></a><a href="sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds"> Spherical
+<a name="math_toolkit.special.bessel.sph_bessel"></a><a class="link" href="sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds"> Spherical
Bessel Functions of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.sph_bessel.synopsis"></a><h5>
-<a name="id712112"></a>
- Synopsis
+<a name="id739618"></a>
+ <a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">sph_bessel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sph_bessel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">sph_bessel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sph_bessel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">sph_neumann</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sph_neumann</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">sph_neumann</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sph_neumann</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<a name="math_toolkit.special.bessel.sph_bessel.description"></a><h5>
-<a name="id712621"></a>
- Description
+<a name="id740127"></a>
+ <a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.description">Description</a>
</h5>
<p>
- The functions sph_bessel
- and sph_neumann
+ The functions <a class="link" href="sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_bessel</a>
+ and <a class="link" href="sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_neumann</a>
return the result of the Spherical Bessel functions of the first and second
kinds respectively:
</p>
@@ -66,21 +66,21 @@
<span class="inlinemediaobject"><img src="../../../../equations/sbessel2.png"></span>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> for the single argument type T.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- The functions return the result of domain_error
+ The functions return the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
whenever the result is undefined or complex: this occurs when <code class="computeroutput"><span class="identifier">x</span> <span class="special"><</span> <span class="number">0</span></code>.
</p>
<p>
@@ -97,8 +97,8 @@
<span class="inlinemediaobject"><img src="../../../../graphs/sph_neumann.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.sph_bessel.testing"></a><h5>
-<a name="id712901"></a>
- Testing
+<a name="id740406"></a>
+ <a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.testing">Testing</a>
</h5>
<p>
There are two sets of test values: spot values calculated using functions.wolfram.com, and
@@ -106,18 +106,18 @@
implementation (with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.sph_bessel.accuracy"></a><h5>
-<a name="id712940"></a>
- Accuracy
+<a name="id740445"></a>
+ <a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.accuracy">Accuracy</a>
</h5>
<p>
Other than for some special cases, these functions are computed in terms
- of cyl_bessel_j
- and cyl_neumann:
+ of <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>
+ and <a class="link" href="bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a>:
refer to these functions for accuracy data.
</p>
<a name="math_toolkit.special.bessel.sph_bessel.implementation"></a><h5>
-<a name="id712990"></a>
- Implementation
+<a name="id740495"></a>
+ <a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.implementation">Implementation</a>
</h5>
<p>
Other than error handling and a couple of special cases these functions
@@ -130,7 +130,7 @@
The special cases occur for:
</p>
<p>
- j<sub>0</sub>= sinc_pi(x)
+ j<sub>0</sub>= <a class="link" href="../sinc/sinc_pi.html" title="sinc_pi">sinc_pi</a>(x)
= sin(x) / x
</p>
<p>
@@ -147,7 +147,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Elliptic Integrals</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="bessel/sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">
<link rel="next" href="ellint/ellint_intro.html" title="Elliptic Integral Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.ellint"></a> Elliptic Integrals
+<a name="math_toolkit.special.ellint"></a><a class="link" href="ellint.html" title="Elliptic Integrals"> Elliptic Integrals</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="ellint/ellint_intro.html"> Elliptic
@@ -42,7 +42,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Elliptic Integrals of the First Kind - Legendre Form</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../ellint.html" title="Elliptic Integrals">
<link rel="prev" href="ellint_carlson.html" title="Elliptic Integrals - Carlson Form">
<link rel="next" href="ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.ellint.ellint_1"></a><a href="ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form"> Elliptic Integrals
+<a name="math_toolkit.special.ellint.ellint_1"></a><a class="link" href="ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form"> Elliptic Integrals
of the First Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_1.synopsis"></a><h6>
-<a name="id718682"></a>
- Synopsis
+<a name="id746188"></a>
+ <a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.synopsis">Synopsis</a>
</h6>
<p>
@@ -41,22 +41,22 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_1.description"></a><h6>
-<a name="id719245"></a>
- Description
+<a name="id746750"></a>
+ <a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.description">Description</a>
</h6>
<p>
These two functions evaluate the incomplete elliptic integral of the first
@@ -67,15 +67,15 @@
<span class="inlinemediaobject"><img src="../../../../graphs/ellint_1.png" align="middle"></span>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types:
when they are the same type then the result is the same type as the arguments.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the incomplete elliptic integral of the first kind <span class="emphasis"><em>F(φ,
@@ -85,23 +85,23 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint2.png"></span>
</p>
<p>
- Requires -1 <= k <= 1, otherwise returns the result of domain_error.
+ Requires -1 <= k <= 1, otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the complete elliptic integral of the first kind <span class="emphasis"><em>K(k)</em></span>:
@@ -110,31 +110,31 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint6.png"></span>
</p>
<p>
- Requires -1 <= k <= 1, otherwise returns the result of domain_error.
+ Requires -1 <= k <= 1, otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.ellint.ellint_1.accuracy"></a><h6>
-<a name="id719904"></a>
- Accuracy
+<a name="id747410"></a>
+ <a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.accuracy">Accuracy</a>
</h6>
<p>
These functions are computed using only basic arithmetic operations, so
there isn't much variation in accuracy over differing platforms. Note that
only results for the widest floating point type on the system are given
- as narrower types have effectively zero error.
+ as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
All values are relative errors in units of epsilon.
</p>
<div class="table">
-<a name="id719938"></a><p class="title"><b>Table 41. Errors Rates in the Elliptic Integrals of the
+<a name="id747444"></a><p class="title"><b>Table 41. Errors Rates in the Elliptic Integrals of the
First Kind</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Elliptic Integrals of the
First Kind">
@@ -237,8 +237,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_1.testing"></a><h6>
-<a name="id720100"></a>
- Testing
+<a name="id747606"></a>
+ <a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.testing">Testing</a>
</h6>
<p>
The tests use a mixture of spot test values calculated using the online
@@ -247,8 +247,8 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_1.implementation"></a><h6>
-<a name="id720140"></a>
- Implementation
+<a name="id747645"></a>
+ <a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.implementation">Implementation</a>
</h6>
<p>
These functions are implemented in terms of Carlson's integrals using the
@@ -267,7 +267,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Elliptic Integrals of the Second Kind - Legendre Form</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../ellint.html" title="Elliptic Integrals">
<link rel="prev" href="ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form">
<link rel="next" href="ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.ellint.ellint_2"></a><a href="ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form"> Elliptic Integrals
+<a name="math_toolkit.special.ellint.ellint_2"></a><a class="link" href="ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form"> Elliptic Integrals
of the Second Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_2.synopsis"></a><h6>
-<a name="id720256"></a>
- Synopsis
+<a name="id747762"></a>
+ <a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.synopsis">Synopsis</a>
</h6>
<p>
@@ -41,22 +41,22 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_2.description"></a><h6>
-<a name="id720817"></a>
- Description
+<a name="id748323"></a>
+ <a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.description">Description</a>
</h6>
<p>
These two functions evaluate the incomplete elliptic integral of the second
@@ -67,15 +67,15 @@
<span class="inlinemediaobject"><img src="../../../../graphs/ellint_2.png" align="middle"></span>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types:
when they are the same type then the result is the same type as the arguments.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the incomplete elliptic integral of the second kind <span class="emphasis"><em>E(φ,
@@ -85,23 +85,23 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint3.png"></span>
</p>
<p>
- Requires -1 <= k <= 1, otherwise returns the result of domain_error.
+ Requires -1 <= k <= 1, otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_2</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the complete elliptic integral of the second kind <span class="emphasis"><em>E(k)</em></span>:
@@ -110,31 +110,31 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint7.png"></span>
</p>
<p>
- Requires -1 <= k <= 1, otherwise returns the result of domain_error.
+ Requires -1 <= k <= 1, otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.ellint.ellint_2.accuracy"></a><h6>
-<a name="id721476"></a>
- Accuracy
+<a name="id748982"></a>
+ <a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.accuracy">Accuracy</a>
</h6>
<p>
These functions are computed using only basic arithmetic operations, so
there isn't much variation in accuracy over differing platforms. Note that
only results for the widest floating point type on the system are given
- as narrower types have effectively zero error.
+ as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
All values are relative errors in units of epsilon.
</p>
<div class="table">
-<a name="id721509"></a><p class="title"><b>Table 42. Errors Rates in the Elliptic Integrals of the
+<a name="id749016"></a><p class="title"><b>Table 42. Errors Rates in the Elliptic Integrals of the
Second Kind</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Elliptic Integrals of the
Second Kind">
@@ -237,8 +237,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_2.testing"></a><h6>
-<a name="id721672"></a>
- Testing
+<a name="id749178"></a>
+ <a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.testing">Testing</a>
</h6>
<p>
The tests use a mixture of spot test values calculated using the online
@@ -247,8 +247,8 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_2.implementation"></a><h6>
-<a name="id721711"></a>
- Implementation
+<a name="id749218"></a>
+ <a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.implementation">Implementation</a>
</h6>
<p>
These functions are implemented in terms of Carlson's integrals using the
@@ -267,7 +267,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Elliptic Integrals of the Third Kind - Legendre Form</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../ellint.html" title="Elliptic Integrals">
<link rel="prev" href="ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form">
<link rel="next" href="../zetas.html" title="Zeta Functions">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.ellint.ellint_3"></a><a href="ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form"> Elliptic Integrals
+<a name="math_toolkit.special.ellint.ellint_3"></a><a class="link" href="ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form"> Elliptic Integrals
of the Third Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_3.synopsis"></a><h6>
-<a name="id721827"></a>
- Synopsis
+<a name="id749334"></a>
+ <a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.synopsis">Synopsis</a>
</h6>
<p>
@@ -41,22 +41,22 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_3.description"></a><h6>
-<a name="id722526"></a>
- Description
+<a name="id750033"></a>
+ <a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.description">Description</a>
</h6>
<p>
These two functions evaluate the incomplete elliptic integral of the third
@@ -67,16 +67,16 @@
<span class="inlinemediaobject"><img src="../../../../graphs/ellint_3.png" align="middle"></span>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when the arguments are of different
types: when they are the same type then the result is the same type as
the arguments.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the incomplete elliptic integral of the third kind <span class="emphasis"><em>Π(n,
@@ -87,16 +87,16 @@
</p>
<p>
Requires <span class="emphasis"><em>-1 <= k <= 1</em></span> and <span class="emphasis"><em>n < 1/sin<sup>2</sup>(φ)</em></span>,
- otherwise returns the result of domain_error
+ otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
(outside this range the result would be complex).
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -108,16 +108,16 @@
<tr><td align="left" valign="top"><p>
In addition, the region where <span class="emphasis"><em>n > 1</em></span> and φ <span class="emphasis"><em>is
not in the range</em></span> [0, π/2] is currently unsupported and returns
- the result of domain_error. For this
+ the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>. For this
reason it is recomended that you keep φ inside its "natural"
range of [0, π/2].
</p></td></tr>
</table></div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_3</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">k</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the complete elliptic integral of the first kind <span class="emphasis"><em>Π(n,
@@ -128,25 +128,25 @@
</p>
<p>
Requires <span class="emphasis"><em>-1 <= k <= 1</em></span> and <span class="emphasis"><em>n < 1</em></span>,
- otherwise returns the result of domain_error
+ otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
(outside this range the result would be complex).
</p>
<p>
[opitonal_policy]
</p>
<a name="math_toolkit.special.ellint.ellint_3.accuracy"></a><h6>
-<a name="id723370"></a>
- Accuracy
+<a name="id750876"></a>
+ <a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.accuracy">Accuracy</a>
</h6>
<p>
These functions are computed using only basic arithmetic operations, so
there isn't much variation in accuracy over differing platforms. Note that
only results for the widest floating point type on the system are given
- as narrower types have effectively zero error.
+ as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
All values are relative errors in units of epsilon.
</p>
<div class="table">
-<a name="id723404"></a><p class="title"><b>Table 43. Errors Rates in the Elliptic Integrals of the
+<a name="id750910"></a><p class="title"><b>Table 43. Errors Rates in the Elliptic Integrals of the
Third Kind</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Elliptic Integrals of the
Third Kind">
@@ -249,8 +249,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_3.testing"></a><h6>
-<a name="id723566"></a>
- Testing
+<a name="id751073"></a>
+ <a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.testing">Testing</a>
</h6>
<p>
The tests use a mixture of spot test values calculated using the online
@@ -259,8 +259,8 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_3.implementation"></a><h6>
-<a name="id723605"></a>
- Implementation
+<a name="id751111"></a>
+ <a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.implementation">Implementation</a>
</h6>
<p>
The implementation for Π(n, φ, k) first siphons off the special cases:
@@ -321,7 +321,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Elliptic Integrals - Carlson Form</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../ellint.html" title="Elliptic Integrals">
<link rel="prev" href="ellint_intro.html" title="Elliptic Integral Overview">
<link rel="next" href="ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.ellint.ellint_carlson"></a><a href="ellint_carlson.html" title="Elliptic Integrals - Carlson Form"> Elliptic
+<a name="math_toolkit.special.ellint.ellint_carlson"></a><a class="link" href="ellint_carlson.html" title="Elliptic Integrals - Carlson Form"> Elliptic
Integrals - Carlson Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_carlson.synopsis"></a><h6>
-<a name="id714562"></a>
- Synopsis
+<a name="id742068"></a>
+ <a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.synopsis">Synopsis</a>
</h6>
<p>
@@ -41,10 +41,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -58,10 +58,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -75,10 +75,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -92,16 +92,16 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_carlson.description"></a><h6>
-<a name="id716332"></a>
- Description
+<a name="id743838"></a>
+ <a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.description">Description</a>
</h6>
<p>
These functions return Carlson's symmetrical elliptic integrals, the functions
@@ -112,15 +112,15 @@
<span class="inlinemediaobject"><img src="../../../../graphs/ellint_carlson.png" align="middle"></span>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when the arguments are of different
types: otherwise the return is the same type as the arguments.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rf</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
</pre>
<p>
Returns Carlson's Elliptic Integral R<sub>F</sub>:
@@ -130,23 +130,23 @@
</p>
<p>
Requires that all of the arguments are non-negative, and at most one may
- be zero. Otherwise returns the result of domain_error.
+ be zero. Otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rd</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
</pre>
<p>
Returns Carlson's elliptic integral R<sub>D</sub>:
@@ -156,23 +156,23 @@
</p>
<p>
Requires that x and y are non-negative, with at most one of them zero,
- and that z >= 0. Otherwise returns the result of domain_error.
+ and that z >= 0. Otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rj</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="identifier">T4</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
</pre>
<p>
Returns Carlson's elliptic integral R<sub>J</sub>:
@@ -183,15 +183,15 @@
<p>
Requires that x, y and z are non-negative, with at most one of them zero,
and that <span class="emphasis"><em>p != 0</em></span>. Otherwise returns the result of
- domain_error.
+ <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -203,10 +203,10 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint17.png"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">)</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">)</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&)</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&)</span>
</pre>
<p>
Returns Carlson's elliptic integral R<sub>C</sub>:
@@ -216,15 +216,15 @@
</p>
<p>
Requires that <span class="emphasis"><em>x > 0</em></span> and that <span class="emphasis"><em>y != 0</em></span>.
- Otherwise returns the result of domain_error.
+ Otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -236,8 +236,8 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint18.png"></span>
</p>
<a name="math_toolkit.special.ellint.ellint_carlson.testing"></a><h6>
-<a name="id718101"></a>
- Testing
+<a name="id745607"></a>
+ <a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.testing">Testing</a>
</h6>
<p>
There are two sets of tests.
@@ -265,18 +265,18 @@
to verify their correctness: see the above Carlson paper for details.
</p>
<a name="math_toolkit.special.ellint.ellint_carlson.accuracy"></a><h6>
-<a name="id718171"></a>
- Accuracy
+<a name="id745677"></a>
+ <a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.accuracy">Accuracy</a>
</h6>
<p>
These functions are computed using only basic arithmetic operations, so
there isn't much variation in accuracy over differing platforms. Note that
only results for the widest floating-point type on the system are given
- as narrower types have effectively zero error.
+ as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
All values are relative errors in units of epsilon.
</p>
<div class="table">
-<a name="id718206"></a><p class="title"><b>Table 40. Errors Rates in the Carlson Elliptic Integrals</b></p>
+<a name="id745712"></a><p class="title"><b>Table 40. Errors Rates in the Carlson Elliptic Integrals</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Carlson Elliptic Integrals">
<colgroup>
<col>
@@ -419,11 +419,11 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_carlson.implementation"></a><h6>
-<a name="id718437"></a>
- Implementation
+<a name="id745942"></a>
+ <a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.implementation">Implementation</a>
</h6>
<p>
- The key of Carlson's algorithm [Carlson79]
+ The key of Carlson's algorithm [<a class="link" href="ellint_intro.html#ellint_ref_carlson79">Carlson79</a>]
is the duplication theorem:
</p>
<p>
@@ -458,7 +458,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Elliptic Integral Overview</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../ellint.html" title="Elliptic Integrals">
<link rel="prev" href="../ellint.html" title="Elliptic Integrals">
<link rel="next" href="ellint_carlson.html" title="Elliptic Integrals - Carlson Form">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.ellint.ellint_intro"></a><a href="ellint_intro.html" title="Elliptic Integral Overview"> Elliptic
+<a name="math_toolkit.special.ellint.ellint_intro"></a><a class="link" href="ellint_intro.html" title="Elliptic Integral Overview"> Elliptic
Integral Overview</a>
</h4></div></div></div>
<p>
@@ -61,15 +61,15 @@
Elliptic integral</a>.
</p>
<a name="math_toolkit.special.ellint.ellint_intro.notation"></a><h5>
-<a name="id713219"></a>
- Notation
+<a name="id740724"></a>
+ <a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.notation">Notation</a>
</h5>
<p>
All variables are real numbers unless otherwise noted.
</p>
<a name="ellint_def"></a><a name="math_toolkit.special.ellint.ellint_intro.definition"></a><h5>
-<a name="id713255"></a>
- Definition
+<a name="id740760"></a>
+ <a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.definition">Definition</a>
</h5>
<p>
<span class="inlinemediaobject"><img src="../../../../equations/ellint1.png"></span>
@@ -198,7 +198,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint8.png"></span>
</p>
<p>
- Carlson [Carlson77] [Carlson78] gives an alternative definition
+ Carlson [<a class="link" href="ellint_intro.html#ellint_ref_carlson77">Carlson77</a>] [<a class="link" href="ellint_intro.html#ellint_ref_carlson78">Carlson78</a>] gives an alternative definition
of elliptic integral's canonical forms:
</p>
<p>
@@ -257,20 +257,20 @@
</td></tr>
</table></div>
<a name="ellint_theorem"></a><a name="math_toolkit.special.ellint.ellint_intro.duplication_theorem"></a><h5>
-<a name="id714011"></a>
- <a href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.duplication_theorem">Duplication
+<a name="id741516"></a>
+ <a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.duplication_theorem">Duplication
Theorem</a>
</h5>
<p>
- Carlson proved in [Carlson78]
+ Carlson proved in [<a class="link" href="ellint_intro.html#ellint_ref_carlson78">Carlson78</a>]
that
</p>
<p>
<span class="inlinemediaobject"><img src="../../../../equations/ellint13.png"></span>
</p>
<a name="ellint_formula"></a><a name="math_toolkit.special.ellint.ellint_intro.carlson_s_formulas"></a><h5>
-<a name="id714086"></a>
- <a href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.carlson_s_formulas">Carlson's
+<a name="id741591"></a>
+ <a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.carlson_s_formulas">Carlson's
Formulas</a>
</h5>
<p>
@@ -287,8 +287,8 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint15.png"></span>
</p>
<a name="math_toolkit.special.ellint.ellint_intro.numerical_algorithms"></a><h5>
-<a name="id714180"></a>
- <a href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.numerical_algorithms">Numerical
+<a name="id741686"></a>
+ <a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.numerical_algorithms">Numerical
Algorithms</a>
</h5>
<p>
@@ -296,13 +296,13 @@
Landen transformations, which converge quadratically and work well for
elliptic integrals of the first and second kinds. Unfortunately they suffer
from loss of significant digits for the third kind. Carlson's algorithm
- [Carlson79] [Carlson78],
+ [<a class="link" href="ellint_intro.html#ellint_ref_carlson79">Carlson79</a>] [<a class="link" href="ellint_intro.html#ellint_ref_carlson78">Carlson78</a>],
by contrast, provides a unified method for all three kinds of elliptic
integrals with satisfactory precisions.
</p>
<a name="ellint_refs"></a><a name="math_toolkit.special.ellint.ellint_intro.references"></a><h5>
-<a name="id714242"></a>
- References
+<a name="id741748"></a>
+ <a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.references">References</a>
</h5>
<p>
Special mention goes to:
@@ -409,7 +409,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Exponential Integrals</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="zetas/zeta.html" title="Riemann Zeta Function">
<link rel="next" href="expint/expint_n.html" title="Exponential Integral En">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.expint"></a> Exponential Integrals
+<a name="math_toolkit.special.expint"></a><a class="link" href="expint.html" title="Exponential Integrals"> Exponential Integrals</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="expint/expint_n.html"> Exponential
@@ -36,7 +36,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Exponential Integral Ei</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../expint.html" title="Exponential Integrals">
<link rel="prev" href="expint_n.html" title="Exponential Integral En">
<link rel="next" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.expint.expint_i"></a><a href="expint_i.html" title="Exponential Integral Ei"> Exponential
+<a name="math_toolkit.special.expint.expint_i"></a><a class="link" href="expint_i.html" title="Exponential Integral Ei"> Exponential
Integral Ei</a>
</h4></div></div></div>
<a name="math_toolkit.special.expint.expint_i.synopsis"></a><h5>
-<a name="id726532"></a>
- Synopsis
+<a name="id754032"></a>
+ <a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,36 +41,36 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.expint.expint_i.description"></a><h5>
-<a name="id726908"></a>
- Description
+<a name="id754408"></a>
+ <a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the <a href="http://mathworld.wolfram.com/ExponentialIntegral.html" target="_top">exponential
@@ -83,19 +83,19 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expint_i.png" align="middle"></span>
</p>
<a name="math_toolkit.special.expint.expint_i.accuracy"></a><h5>
-<a name="id727186"></a>
- Accuracy
+<a name="id754685"></a>
+ <a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
various platforms with various floating point types, along with comparisons
to Cody's SPECFUN implementation and the GSL-1.9
library. Unless otherwise specified any floating point type that is narrower
- than the one shown will have <a href="../../backgrounders/relative_error.html#zero_error">effectively zero
+ than the one shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero
error</a>.
</p>
<div class="table">
-<a name="id727225"></a><p class="title"><b>Table 46. Errors In the Function expint(z)</b></p>
+<a name="id754725"></a><p class="title"><b>Table 46. Errors In the Function expint(z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function expint(z)">
<colgroup>
<col>
@@ -207,8 +207,8 @@
slightly over the range [4,6].
</p>
<a name="math_toolkit.special.expint.expint_i.testing"></a><h5>
-<a name="id727409"></a>
- Testing
+<a name="id754909"></a>
+ <a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.testing">Testing</a>
</h5>
<p>
The tests for these functions come in two parts: basic sanity checks use
@@ -222,11 +222,11 @@
check.
</p>
<a name="math_toolkit.special.expint.expint_i.implementation"></a><h5>
-<a name="id727462"></a>
- Implementation
+<a name="id754962"></a>
+ <a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.implementation">Implementation</a>
</h5>
<p>
- For x < 0 this function just calls zeta(1,
+ For x < 0 this function just calls <a class="link" href="expint_n.html" title="Exponential Integral En">zeta</a>(1,
-x): which in turn is implemented in terms of rational approximations when
the type of x has 113 or fewer bits of precision.
</p>
@@ -238,7 +238,7 @@
</p>
<p>
However, when the precision of the argument type is known at compile time
- and is 113 bits or less, then rational approximations <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ and is 113 bits or less, then rational approximations <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> are used.
</p>
<p>
@@ -253,7 +253,7 @@
[-1,1]. Note that while the rational approximation over [0,6] converges
rapidly to the minimax solution it is rather ill-conditioned in practice.
Cody and Thacher
- <sup>[<a name="id727601" href="#ftn.id727601">1</a>]</sup>
+ <sup>[<a name="id755101" href="#ftn.id755101" class="footnote">1</a>]</sup>
experienced the same issue and converted the polynomials into Chebeshev
form to ensure stable computation. By experiment we found that the polynomials
are just as stable in polynomial as Chebyshev form, <span class="emphasis"><em>provided</em></span>
@@ -284,7 +284,7 @@
</p>
<div class="footnotes">
<br><hr width="100" align="left">
-<div class="footnote"><p><sup>[<a name="ftn.id727601" href="#id727601">1</a>] </sup>
+<div class="footnote"><p><sup>[<a name="ftn.id755101" href="#id755101" class="para">1</a>] </sup>
W. J. Cody and H. C. Thacher, Jr., Rational Chebyshev approximations
for the exponential integral E<sub>1</sub>(x), Math. Comp. 22 (1968), 641-649,
and W. J. Cody and H. C. Thacher, Jr., Chebyshev approximations for
@@ -295,7 +295,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Exponential Integral En</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../expint.html" title="Exponential Integrals">
<link rel="prev" href="../expint.html" title="Exponential Integrals">
<link rel="next" href="expint_i.html" title="Exponential Integral Ei">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.expint.expint_n"></a><a href="expint_n.html" title="Exponential Integral En"> Exponential
+<a name="math_toolkit.special.expint.expint_n"></a><a class="link" href="expint_n.html" title="Exponential Integral En"> Exponential
Integral En</a>
</h4></div></div></div>
<a name="math_toolkit.special.expint.expint_n.synopsis"></a><h5>
-<a name="id725207"></a>
- Synopsis
+<a name="id752707"></a>
+ <a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,36 +41,36 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.expint.expint_n.description"></a><h5>
-<a name="id725617"></a>
- Description
+<a name="id753117"></a>
+ <a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the <a href="http://mathworld.wolfram.com/En-Function.html" target="_top">exponential
@@ -83,18 +83,18 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expint2.png" align="middle"></span>
</p>
<a name="math_toolkit.special.expint.expint_n.accuracy"></a><h5>
-<a name="id725930"></a>
- Accuracy
+<a name="id753429"></a>
+ <a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
various platforms with various floating point types, along with comparisons
to the Cephes library.
Unless otherwise specified any floating point type that is narrower than
- the one shown will have effectively zero error.
+ the one shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
-<a name="id725969"></a><p class="title"><b>Table 45. Errors In the Function expint(n, z)</b></p>
+<a name="id753469"></a><p class="title"><b>Table 45. Errors In the Function expint(n, z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function expint(n, z)">
<colgroup>
<col>
@@ -225,8 +225,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.expint.expint_n.testing"></a><h5>
-<a name="id726187"></a>
- Testing
+<a name="id753686"></a>
+ <a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.testing">Testing</a>
</h5>
<p>
The tests for these functions come in two parts: basic sanity checks use
@@ -240,8 +240,8 @@
check.
</p>
<a name="math_toolkit.special.expint.expint_n.implementation"></a><h5>
-<a name="id726240"></a>
- Implementation
+<a name="id753739"></a>
+ <a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.implementation">Implementation</a>
</h5>
<p>
The generic version of this function uses the continued fraction:
@@ -260,7 +260,7 @@
</p>
<p>
Where the precision of <span class="emphasis"><em>x</em></span> is known at compile time
- and is 113 bits or fewer in precision, then rational approximations <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ and is 113 bits or fewer in precision, then rational approximations <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> are used for the <code class="computeroutput"><span class="identifier">n</span>
<span class="special">==</span> <span class="number">1</span></code>
case.
@@ -288,7 +288,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>TR1 and C99 external "C" Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="next_float/float_advance.html" title="Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance">
<link rel="next" href="extern_c/tr1.html" title="C99 and TR1 C Functions Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.extern_c"></a><a href="extern_c.html" title='TR1 and C99 external "C" Functions'> TR1 and C99 external
+<a name="math_toolkit.special.extern_c"></a><a class="link" href="extern_c.html" title='TR1 and C99 external "C" Functions'> TR1 and C99 external
"C" Functions</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -38,7 +38,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/c99.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/c99.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/c99.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>C99 C Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
<link rel="prev" href="tr1.html" title="C99 and TR1 C Functions Overview">
<link rel="next" href="tr1_ref.html" title="TR1 C Functions Quick Reference">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.extern_c.c99"></a> C99 C Functions
+<a name="math_toolkit.special.extern_c.c99"></a><a class="link" href="c99.html" title="C99 C Functions"> C99 C Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.extern_c.c99.supported_c99_functions"></a><h5>
-<a name="id755230"></a>
- <a href="c99.html#math_toolkit.special.extern_c.c99.supported_c99_functions">Supported
+<a name="id782734"></a>
+ <a class="link" href="c99.html#math_toolkit.special.extern_c.c99.supported_c99_functions">Supported
C99 Functions</a>
</h5>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">tr1</span><span class="special">{</span> <span class="keyword">extern</span> <span class="string">"C"</span><span class="special">{</span>
@@ -124,7 +124,7 @@
with any mixture of <code class="computeroutput"><span class="keyword">float</span></code>,
<code class="computeroutput"><span class="keyword">double</span></code>, <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code>, or <span class="emphasis"><em>integer</em></span>
- arguments is supported, with the return type determined by the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ arguments is supported, with the return type determined by the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>.
</p>
<p>
@@ -138,8 +138,8 @@
</span><span class="identifier">acosh</span><span class="special">(</span><span class="number">2</span><span class="special">);</span> <span class="comment">// integer argument is treated as a double, returns double.
</span></pre>
<a name="math_toolkit.special.extern_c.c99.quick_reference"></a><h5>
-<a name="id758264"></a>
- <a href="c99.html#math_toolkit.special.extern_c.c99.quick_reference">Quick
+<a name="id785768"></a>
+ <a class="link" href="c99.html#math_toolkit.special.extern_c.c99.quick_reference">Quick
Reference</a>
</h5>
<p>
@@ -241,7 +241,7 @@
Returns the inverse hyperbolic cosine of <span class="emphasis"><em>x</em></span>.
</p>
<p>
- See also acosh
+ See also <a class="link" href="../inv_hyper/acosh.html" title="acosh">acosh</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">asinh</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -252,7 +252,7 @@
Returns the inverse hyperbolic sine of <span class="emphasis"><em>x</em></span>.
</p>
<p>
- See also asinh
+ See also <a class="link" href="../inv_hyper/asinh.html" title="asinh">asinh</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">atanh</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -263,7 +263,7 @@
Returns the inverse hyperbolic tangent of <span class="emphasis"><em>x</em></span>.
</p>
<p>
- See also atanh
+ See also <a class="link" href="../inv_hyper/atanh.html" title="atanh">atanh</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">cbrt</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -274,7 +274,7 @@
Returns the cubed root of <span class="emphasis"><em>x</em></span>.
</p>
<p>
- See also cbrt for
+ See also <a class="link" href="../powers/cbrt.html" title="cbrt">cbrt</a> for
the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">copysign</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span>
@@ -296,7 +296,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/erf1.png"></span>
</p>
<p>
- See also erf
+ See also <a class="link" href="../sf_erf/error_function.html" title="Error Functions">erf</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">erfc</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -308,7 +308,7 @@
without the loss of precision implied by the subtraction.
</p>
<p>
- See also erfc
+ See also <a class="link" href="../sf_erf/error_function.html" title="Error Functions">erfc</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">expm1</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -320,7 +320,7 @@
without the loss of precision implied by the subtraction.
</p>
<p>
- See also expm1
+ See also <a class="link" href="../powers/expm1.html" title="expm1">expm1</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">fmax</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span>
@@ -347,7 +347,7 @@
without the danger of numeric overflow implied by that formulation.
</p>
<p>
- See also hypot
+ See also <a class="link" href="../powers/hypot.html" title="hypot">hypot</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">lgamma</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -361,7 +361,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/lgamm1.png"></span>
</p>
<p>
- See also lgamma
+ See also <a class="link" href="../sf_gamma/lgamma.html" title="Log Gamma">lgamma</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llround</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -374,7 +374,7 @@
equivalent to <code class="computeroutput"><span class="identifier">floor</span><span class="special">(</span><span class="identifier">x</span> <span class="special">+</span> <span class="number">0.5</span><span class="special">)</span></code>
</p>
<p>
- See also round
+ See also <a class="link" href="../rounding/round.html" title="Rounding Functions">round</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">log1p</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -386,7 +386,7 @@
by that formulation.
</p>
<p>
- See also log1p
+ See also <a class="link" href="../powers/log1p.html" title="log1p">log1p</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">long</span> <span class="identifier">lround</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -399,7 +399,7 @@
<code class="computeroutput"><span class="identifier">floor</span><span class="special">(</span><span class="identifier">x</span> <span class="special">+</span> <span class="number">0.5</span><span class="special">)</span></code>
</p>
<p>
- See also round
+ See also <a class="link" href="../rounding/round.html" title="Rounding Functions">round</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">nextafter</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span>
@@ -430,7 +430,7 @@
equivalent to <code class="computeroutput"><span class="identifier">floor</span><span class="special">(</span><span class="identifier">x</span> <span class="special">+</span> <span class="number">0.5</span><span class="special">)</span></code>
</p>
<p>
- See also round
+ See also <a class="link" href="../rounding/round.html" title="Rounding Functions">round</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">tgamma</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -444,7 +444,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/gamm1.png"></span>
</p>
<p>
- See also tgamma
+ See also <a class="link" href="../sf_gamma/tgamma.html" title="Gamma">tgamma</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">trunc</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span>
@@ -455,14 +455,14 @@
Returns <span class="emphasis"><em>x</em></span> truncated to the nearest integer.
</p>
<p>
- See also trunc
+ See also <a class="link" href="../rounding/trunc.html" title="Truncation Functions">trunc</a>
for the full template (header only) version of this function.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>C99 and TR1 C Functions Overview</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
<link rel="prev" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
<link rel="next" href="c99.html" title="C99 C Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.extern_c.tr1"></a><a href="tr1.html" title="C99 and TR1 C Functions Overview"> C99 and TR1 C Functions
+<a name="math_toolkit.special.extern_c.tr1"></a><a class="link" href="tr1.html" title="C99 and TR1 C Functions Overview"> C99 and TR1 C Functions
Overview</a>
</h4></div></div></div>
<p>
@@ -288,8 +288,8 @@
<a name="math_toolkit.special.extern_c.tr1.usage_recomendations"></a>
</p>
<h5>
-<a name="id745492"></a>
- <a href="tr1.html#math_toolkit.special.extern_c.tr1.usage_recomendations">Usage
+<a name="id772996"></a>
+ <a class="link" href="tr1.html#math_toolkit.special.extern_c.tr1.usage_recomendations">Usage
Recomendations</a>
</h5>
<p>
@@ -333,7 +333,7 @@
no templates being instantiated any more), and also speed up debugging
runtimes - since the externally compiled libraries can be compiler optimised,
rather than built using full settings - the difference in performance
- between <a href="../../perf/getting_best.html" title="Getting the Best Performance from this Library">release and debug
+ between <a class="link" href="../../perf/getting_best.html" title="Getting the Best Performance from this Library">release and debug
builds can be as much as 20 times</a>, so for complex applications
this can be a big win.
</p>
@@ -341,14 +341,14 @@
<a name="math_toolkit.special.extern_c.tr1.supported_c99_functions"></a>
</p>
<h5>
-<a name="id745791"></a>
- <a href="tr1.html#math_toolkit.special.extern_c.tr1.supported_c99_functions">Supported
+<a name="id773294"></a>
+ <a class="link" href="tr1.html#math_toolkit.special.extern_c.tr1.supported_c99_functions">Supported
C99 Functions</a>
</h5>
<p>
</p>
<p>
- See also the <a href="c99.html" title="C99 C Functions">quick
+ See also the <a class="link" href="c99.html" title="C99 C Functions">quick
reference guide for these functions</a>.
</p>
<p>
@@ -445,14 +445,14 @@
<a name="math_toolkit.special.extern_c.tr1.supported_tr1_functions"></a>
</p>
<h5>
-<a name="id748591"></a>
- <a href="tr1.html#math_toolkit.special.extern_c.tr1.supported_tr1_functions">Supported
+<a name="id776095"></a>
+ <a class="link" href="tr1.html#math_toolkit.special.extern_c.tr1.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
<p>
</p>
<p>
- See also the <a href="tr1.html" title="C99 and TR1 C Functions Overview">quick
+ See also the <a class="link" href="tr1.html" title="C99 and TR1 C Functions Overview">quick
reference guide for these functions</a>.
</p>
<p>
@@ -577,15 +577,15 @@
with any mixture of <code class="computeroutput"><span class="keyword">float</span></code>,
<code class="computeroutput"><span class="keyword">double</span></code>, <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code>, or <span class="emphasis"><em>integer</em></span>
- arguments is supported, with the return type determined by the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result type
+ arguments is supported, with the return type determined by the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result type
calculation rules</em></span></a>.
</p>
<p>
<a name="math_toolkit.special.extern_c.tr1.currently_unsupported_c99_functions"></a>
</p>
<h5>
-<a name="id752441"></a>
- <a href="tr1.html#math_toolkit.special.extern_c.tr1.currently_unsupported_c99_functions">Currently
+<a name="id779946"></a>
+ <a class="link" href="tr1.html#math_toolkit.special.extern_c.tr1.currently_unsupported_c99_functions">Currently
Unsupported C99 Functions</a>
</h5>
<p>
@@ -655,8 +655,8 @@
<a name="math_toolkit.special.extern_c.tr1.currently_unsupported_tr1_functions"></a>
</p>
<h5>
-<a name="id754652"></a>
- <a href="tr1.html#math_toolkit.special.extern_c.tr1.currently_unsupported_tr1_functions">Currently
+<a name="id782156"></a>
+ <a class="link" href="tr1.html#math_toolkit.special.extern_c.tr1.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>
<p>
@@ -679,7 +679,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1_ref.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1_ref.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1_ref.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>TR1 C Functions Quick Reference</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
<link rel="prev" href="c99.html" title="C99 C Functions">
<link rel="next" href="../../toolkit.html" title="Internal Details and Tools (Experimental)">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.extern_c.tr1_ref"></a><a href="tr1_ref.html" title="TR1 C Functions Quick Reference"> TR1 C Functions
+<a name="math_toolkit.special.extern_c.tr1_ref"></a><a class="link" href="tr1_ref.html" title="TR1 C Functions Quick Reference"> TR1 C Functions
Quick Reference</a>
</h4></div></div></div>
<a name="math_toolkit.special.extern_c.tr1_ref.supported_tr1_functions"></a><h5>
-<a name="id762142"></a>
- <a href="tr1_ref.html#math_toolkit.special.extern_c.tr1_ref.supported_tr1_functions">Supported
+<a name="id789646"></a>
+ <a class="link" href="tr1_ref.html#math_toolkit.special.extern_c.tr1_ref.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">tr1</span><span class="special">{</span> <span class="keyword">extern</span> <span class="string">"C"</span><span class="special">{</span>
@@ -149,7 +149,7 @@
with any mixture of <code class="computeroutput"><span class="keyword">float</span></code>,
<code class="computeroutput"><span class="keyword">double</span></code>, <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code>, or <span class="emphasis"><em>integer</em></span>
- arguments is supported, with the return type determined by the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ arguments is supported, with the return type determined by the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>.
</p>
<p>
@@ -163,8 +163,8 @@
</span><span class="identifier">expint</span><span class="special">(</span><span class="number">2</span><span class="special">);</span> <span class="comment">// integer argument is treated as a double, returns double.
</span></pre>
<a name="math_toolkit.special.extern_c.tr1_ref.quick_reference"></a><h5>
-<a name="id766148"></a>
- <a href="tr1_ref.html#math_toolkit.special.extern_c.tr1_ref.quick_reference">Quick
+<a name="id793652"></a>
+ <a class="link" href="tr1_ref.html#math_toolkit.special.extern_c.tr1_ref.quick_reference">Quick
Reference</a>
</h5>
<pre class="programlisting"><span class="comment">// [5.2.1.1] associated Laguerre polynomials:
@@ -179,7 +179,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/laguerre_1.png"></span>
</p>
<p>
- See also laguerre
+ See also <a class="link" href="../sf_poly/laguerre.html" title="Laguerre (and Associated) Polynomials">laguerre</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.2] associated Legendre functions:
@@ -194,7 +194,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/legendre_1b.png"></span>
</p>
<p>
- See also legendre_p
+ See also <a class="link" href="../sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">legendre_p</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.3] beta function:
@@ -209,7 +209,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/beta1.png"></span>
</p>
<p>
- See also beta
+ See also <a class="link" href="../sf_beta/beta_function.html" title="Beta">beta</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.4] (complete) elliptic integral of the first kind:
@@ -224,7 +224,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint6.png"></span>
</p>
<p>
- See also ellint_1
+ See also <a class="link" href="../ellint/ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form">ellint_1</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.5] (complete) elliptic integral of the second kind:
@@ -239,7 +239,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint7.png"></span>
</p>
<p>
- See also ellint_2
+ See also <a class="link" href="../ellint/ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form">ellint_2</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.6] (complete) elliptic integral of the third kind:
@@ -255,7 +255,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint8.png"></span>
</p>
<p>
- See also ellint_3
+ See also <a class="link" href="../ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form">ellint_3</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.8] regular modified cylindrical Bessel functions:
@@ -271,7 +271,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/mbessel2.png"></span>
</p>
<p>
- See also cyl_bessel_i
+ See also <a class="link" href="../bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.9] cylindrical Bessel functions (of the first kind):
@@ -287,7 +287,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/bessel2.png"></span>
</p>
<p>
- See also cyl_bessel_j
+ See also <a class="link" href="../bessel/bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.10] irregular modified cylindrical Bessel functions:
@@ -303,7 +303,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/mbessel3.png"></span>
</p>
<p>
- See also cyl_bessel_k
+ See also <a class="link" href="../bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_k</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.11] cylindrical Neumann functions;
@@ -320,7 +320,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/bessel3.png"></span>
</p>
<p>
- See also cyl_neumann
+ See also <a class="link" href="../bessel/bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.12] (incomplete) elliptic integral of the first kind:
@@ -336,7 +336,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint2.png"></span>
</p>
<p>
- See also ellint_1
+ See also <a class="link" href="../ellint/ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form">ellint_1</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.13] (incomplete) elliptic integral of the second kind:
@@ -352,7 +352,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint3.png"></span>
</p>
<p>
- See also ellint_2
+ See also <a class="link" href="../ellint/ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form">ellint_2</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.14] (incomplete) elliptic integral of the third kind:
@@ -368,7 +368,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint4.png"></span>
</p>
<p>
- See also ellint_3
+ See also <a class="link" href="../ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form">ellint_3</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.15] exponential integral:
@@ -383,7 +383,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/expint_i_1.png"></span>
</p>
<p>
- See also expint
+ See also <a class="link" href="../expint/expint_i.html" title="Exponential Integral Ei">expint</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.16] Hermite polynomials:
@@ -398,7 +398,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/hermite_0.png"></span>
</p>
<p>
- See also hermite
+ See also <a class="link" href="../sf_poly/hermite.html" title="Hermite Polynomials">hermite</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.18] Laguerre polynomials:
@@ -413,7 +413,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/laguerre_0.png"></span>
</p>
<p>
- See also laguerre
+ See also <a class="link" href="../sf_poly/laguerre.html" title="Laguerre (and Associated) Polynomials">laguerre</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.19] Legendre polynomials:
@@ -428,7 +428,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/legendre_0.png"></span>
</p>
<p>
- See also legendre_p
+ See also <a class="link" href="../sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">legendre_p</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.20] Riemann zeta function:
@@ -443,7 +443,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/zeta1.png"></span>
</p>
<p>
- See also zeta for
+ See also <a class="link" href="../zetas/zeta.html" title="Riemann Zeta Function">zeta</a> for
the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.21] spherical Bessel functions (of the first kind):
@@ -459,7 +459,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/sbessel2.png"></span>
</p>
<p>
- See also sph_bessel
+ See also <a class="link" href="../bessel/sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_bessel</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.22] spherical associated Legendre functions:
@@ -475,7 +475,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/spherical_3.png"></span>
</p>
<p>
- See also spherical_harmonic
+ See also <a class="link" href="../sf_poly/sph_harm.html" title="Spherical Harmonics">spherical_harmonic</a>
for the full template (header only) version of this function.
</p>
<pre class="programlisting"><span class="comment">// [5.2.1.23] spherical Neumann functions;
@@ -491,12 +491,12 @@
<span class="inlinemediaobject"><img src="../../../../equations/sbessel2.png"></span>
</p>
<p>
- See also sph_bessel
+ See also <a class="link" href="../bessel/sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_bessel</a>
for the full template (header only) version of this function.
</p>
<a name="math_toolkit.special.extern_c.tr1_ref.currently_unsupported_tr1_functions"></a><h5>
-<a name="id771114"></a>
- <a href="tr1_ref.html#math_toolkit.special.extern_c.tr1_ref.currently_unsupported_tr1_functions">Currently
+<a name="id798618"></a>
+ <a class="link" href="tr1_ref.html#math_toolkit.special.extern_c.tr1_ref.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>
<pre class="programlisting"><span class="comment">// [5.2.1.7] confluent hypergeometric functions:
@@ -524,7 +524,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Factorials and Binomial Coefficients</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="sf_gamma/gamma_derivatives.html" title="Derivative of the Incomplete Gamma Function">
<link rel="next" href="factorials/sf_factorial.html" title="Factorial">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.factorials"></a><a href="factorials.html" title="Factorials and Binomial Coefficients"> Factorials and Binomial
+<a name="math_toolkit.special.factorials"></a><a class="link" href="factorials.html" title="Factorials and Binomial Coefficients"> Factorials and Binomial
Coefficients</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -42,7 +42,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Binomial Coefficients</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../factorials.html" title="Factorials and Binomial Coefficients">
<link rel="prev" href="sf_falling_factorial.html" title="Falling Factorial">
<link rel="next" href="../sf_beta.html" title="Beta Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.factorials.sf_binomial"></a><a href="sf_binomial.html" title="Binomial Coefficients"> Binomial
+<a name="math_toolkit.special.factorials.sf_binomial"></a><a class="link" href="sf_binomial.html" title="Binomial Coefficients"> Binomial
Coefficients</a>
</h4></div></div></div>
<p>
@@ -39,8 +39,8 @@
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">binomial_coefficient</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">k</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">T</span> <span class="identifier">binomial_coefficient</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">T</span> <span class="identifier">binomial_coefficient</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -53,36 +53,36 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- May return the result of overflow_error
+ May return the result of <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>
if the result is too large to represent in type T.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.accuracy"></a><h5>
-<a name="id670910"></a>
- Accuracy
+<a name="id698421"></a>
+ <a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.accuracy">Accuracy</a>
</h5>
<p>
The accuracy will be the same as for the factorials for small arguments
- (i.e. no more than one or two epsilon), and the beta
+ (i.e. no more than one or two epsilon), and the <a class="link" href="../sf_beta/beta_function.html" title="Beta">beta</a>
function for larger arguments.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.testing"></a><h5>
-<a name="id670950"></a>
- Testing
+<a name="id698462"></a>
+ <a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.testing">Testing</a>
</h5>
<p>
The spot tests for the binomial coefficients use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.implementation"></a><h5>
-<a name="id670980"></a>
- Implementation
+<a name="id698492"></a>
+ <a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.implementation">Implementation</a>
</h5>
<p>
Binomial coefficients are calculated using table lookup of factorials where
@@ -95,21 +95,21 @@
Otherwise it is implemented in terms of the beta function using the relations:
</p>
<p>
- <sub>n</sub>C<sub>k</sub> = 1 / (k * beta(k,
+ <sub>n</sub>C<sub>k</sub> = 1 / (k * <a class="link" href="../sf_beta/beta_function.html" title="Beta">beta</a>(k,
n-k+1))
</p>
<p>
and
</p>
<p>
- <sub>n</sub>C<sub>k</sub> = 1 / ((n-k) * beta(k+1,
+ <sub>n</sub>C<sub>k</sub> = 1 / ((n-k) * <a class="link" href="../sf_beta/beta_function.html" title="Beta">beta</a>(k+1,
n-k))
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Double Factorial</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../factorials.html" title="Factorials and Binomial Coefficients">
<link rel="prev" href="sf_factorial.html" title="Factorial">
<link rel="next" href="sf_rising_factorial.html" title="Rising Factorial">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.factorials.sf_double_factorial"></a><a href="sf_double_factorial.html" title="Double Factorial">
+<a name="math_toolkit.special.factorials.sf_double_factorial"></a><a class="link" href="sf_double_factorial.html" title="Double Factorial">
Double Factorial</a>
</h4></div></div></div>
<p>
@@ -39,8 +39,8 @@
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">double_factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">T</span> <span class="identifier">double_factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">T</span> <span class="identifier">double_factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -50,37 +50,37 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- May return the result of overflow_error
+ May return the result of <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>
if the result is too large to represent in type T. The implementation is
designed to be optimised for small <span class="emphasis"><em>i</em></span> where table lookup
of i! is possible.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.accuracy"></a><h5>
-<a name="id669232"></a>
- Accuracy
+<a name="id696744"></a>
+ <a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.accuracy">Accuracy</a>
</h5>
<p>
The implementation uses a trivial adaptation of the factorial function,
so error rates should be no more than a couple of epsilon higher.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.testing"></a><h5>
-<a name="id669263"></a>
- Testing
+<a name="id696775"></a>
+ <a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the double factorial use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.implementation"></a><h5>
-<a name="id669295"></a>
- Implementation
+<a name="id696807"></a>
+ <a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.implementation">Implementation</a>
</h5>
<p>
The double factorial is implemented in terms of the factorial and gamma
@@ -102,7 +102,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Factorial</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../factorials.html" title="Factorials and Binomial Coefficients">
<link rel="prev" href="../factorials.html" title="Factorials and Binomial Coefficients">
<link rel="next" href="sf_double_factorial.html" title="Double Factorial">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.factorials.sf_factorial"></a> Factorial
+<a name="math_toolkit.special.factorials.sf_factorial"></a><a class="link" href="sf_factorial.html" title="Factorial"> Factorial</a>
</h4></div></div></div>
<a name="math_toolkit.special.factorials.sf_factorial.synopsis"></a><h5>
-<a name="id667775"></a>
- Synopsis
+<a name="id695286"></a>
+ <a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.synopsis">Synopsis</a>
</h5>
<p>
@@ -42,8 +42,8 @@
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">T</span> <span class="identifier">factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">T</span> <span class="identifier">factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">unchecked_factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">);</span>
@@ -54,14 +54,14 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.factorials.sf_factorial.description"></a><h5>
-<a name="id668197"></a>
- Description
+<a name="id695708"></a>
+ <a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">T</span> <span class="identifier">factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">T</span> <span class="identifier">factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns <code class="literal">i!</code>.
@@ -69,21 +69,21 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
For <code class="literal">i <= max_factorial<T>::value</code> this is implemented
by table lookup, for larger values of <code class="literal">i</code>, this function
- is implemented in terms of tgamma.
+ is implemented in terms of <a class="link" href="../sf_gamma/tgamma.html" title="Gamma">tgamma</a>.
</p>
<p>
If <code class="literal">i</code> is so large that the result can not be represented
- in type T, then calls overflow_error.
+ in type T, then calls <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">unchecked_factorial</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">);</span>
@@ -112,37 +112,37 @@
the size of further tables that depend on the factorials.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.accuracy"></a><h5>
-<a name="id668712"></a>
- Accuracy
+<a name="id696223"></a>
+ <a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.accuracy">Accuracy</a>
</h5>
<p>
For arguments smaller than <code class="computeroutput"><span class="identifier">max_factorial</span><span class="special"><</span><span class="identifier">T</span><span class="special">>::</span><span class="identifier">value</span></code>
the result should be correctly rounded. For larger arguments the accuracy
- will be the same as for tgamma.
+ will be the same as for <a class="link" href="../sf_gamma/tgamma.html" title="Gamma">tgamma</a>.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.testing"></a><h5>
-<a name="id668784"></a>
- Testing
+<a name="id696295"></a>
+ <a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.testing">Testing</a>
</h5>
<p>
Basic sanity checks and spot values to verify the data tables: the main
- tests for the tgamma
+ tests for the <a class="link" href="../sf_gamma/tgamma.html" title="Gamma">tgamma</a>
function handle those cases already.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.implementation"></a><h5>
-<a name="id668824"></a>
- Implementation
+<a name="id696335"></a>
+ <a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.implementation">Implementation</a>
</h5>
<p>
The factorial function is table driven for small arguments, and is implemented
- in terms of tgamma
+ in terms of <a class="link" href="../sf_gamma/tgamma.html" title="Gamma">tgamma</a>
for larger arguments.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Falling Factorial</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../factorials.html" title="Factorials and Binomial Coefficients">
<link rel="prev" href="sf_rising_factorial.html" title="Rising Factorial">
<link rel="next" href="sf_binomial.html" title="Binomial Coefficients">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.factorials.sf_falling_factorial"></a><a href="sf_falling_factorial.html" title="Falling Factorial">
+<a name="math_toolkit.special.factorials.sf_falling_factorial"></a><a class="link" href="sf_falling_factorial.html" title="Falling Factorial">
Falling Factorial</a>
</h4></div></div></div>
<p>
@@ -37,10 +37,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">falling_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">falling_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">falling_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">falling_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -59,44 +59,44 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- May return the result of overflow_error
+ May return the result of <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>
if the result is too large to represent in type T.
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the type of the result is <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, otherwise
the type of the result is T.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.accuracy"></a><h5>
-<a name="id670395"></a>
- Accuracy
+<a name="id697907"></a>
+ <a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.accuracy">Accuracy</a>
</h5>
<p>
- The accuracy will be the same as the tgamma_delta_ratio
+ The accuracy will be the same as the <a class="link" href="../sf_gamma/gamma_ratios.html" title="Ratios of Gamma Functions">tgamma_delta_ratio</a>
function.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.testing"></a><h5>
-<a name="id670434"></a>
- Testing
+<a name="id697945"></a>
+ <a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the falling factorials use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.implementation"></a><h5>
-<a name="id670466"></a>
- Implementation
+<a name="id697977"></a>
+ <a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.implementation">Implementation</a>
</h5>
<p>
Rising and falling factorials are implemented as ratios of gamma functions
- using tgamma_delta_ratio.
+ using <a class="link" href="../sf_gamma/gamma_ratios.html" title="Ratios of Gamma Functions">tgamma_delta_ratio</a>.
Optimisations for small integer arguments are handled internally by that
function.
</p>
@@ -104,7 +104,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Rising Factorial</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../factorials.html" title="Factorials and Binomial Coefficients">
<link rel="prev" href="sf_double_factorial.html" title="Double Factorial">
<link rel="next" href="sf_falling_factorial.html" title="Falling Factorial">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.factorials.sf_rising_factorial"></a><a href="sf_rising_factorial.html" title="Rising Factorial">
+<a name="math_toolkit.special.factorials.sf_rising_factorial"></a><a class="link" href="sf_rising_factorial.html" title="Rising Factorial">
Rising Factorial</a>
</h4></div></div></div>
<p>
@@ -37,10 +37,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">rising_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">i</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">rising_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">i</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">rising_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">rising_factorial</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">i</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -63,44 +63,44 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- May return the result of overflow_error
+ May return the result of <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>
if the result is too large to represent in type T.
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the type of the result is <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, otherwise
the type of the result is T.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.accuracy"></a><h5>
-<a name="id669818"></a>
- Accuracy
+<a name="id697330"></a>
+ <a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.accuracy">Accuracy</a>
</h5>
<p>
- The accuracy will be the same as the tgamma_delta_ratio
+ The accuracy will be the same as the <a class="link" href="../sf_gamma/gamma_ratios.html" title="Ratios of Gamma Functions">tgamma_delta_ratio</a>
function.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.testing"></a><h5>
-<a name="id669856"></a>
- Testing
+<a name="id697367"></a>
+ <a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the rising factorials use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.implementation"></a><h5>
-<a name="id669888"></a>
- Implementation
+<a name="id697399"></a>
+ <a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.implementation">Implementation</a>
</h5>
<p>
Rising and falling factorials are implemented as ratios of gamma functions
- using tgamma_delta_ratio.
+ using <a class="link" href="../sf_gamma/gamma_ratios.html" title="Ratios of Gamma Functions">tgamma_delta_ratio</a>.
Optimisations for small integer arguments are handled internally by that
function.
</p>
@@ -108,7 +108,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/fpclass.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/fpclass.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/fpclass.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Floating-Point Classification: Infinities and NaN's</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="rounding/modf.html" title="Integer and Fractional Part Splitting (modf)">
<link rel="next" href="next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.fpclass"></a><a href="fpclass.html" title="Floating-Point Classification: Infinities and NaN's"> Floating-Point Classification:
+<a name="math_toolkit.special.fpclass"></a><a class="link" href="fpclass.html" title="Floating-Point Classification: Infinities and NaN's"> Floating-Point Classification:
Infinities and NaN's</a>
</h3></div></div></div>
<a name="math_toolkit.special.fpclass.synopsis"></a><h5>
-<a name="id741023"></a>
- Synopsis
+<a name="id768530"></a>
+ <a class="link" href="fpclass.html#math_toolkit.special.fpclass.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="preprocessor">#define</span> <span class="identifier">FP_ZERO</span> <span class="comment">/* implementation specific value */</span>
<span class="preprocessor">#define</span> <span class="identifier">FP_NORMAL</span> <span class="comment">/* implementation specific value */</span>
@@ -58,8 +58,8 @@
to use these functions.
</p>
<a name="math_toolkit.special.fpclass.description"></a><h5>
-<a name="id741556"></a>
- Description
+<a name="id769064"></a>
+ <a class="link" href="fpclass.html#math_toolkit.special.fpclass.description">Description</a>
</h5>
<p>
These functions provide the same functionality as the macros with the same
@@ -220,7 +220,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Inverse Hyperbolic Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="sinc/sinhc_pi.html" title="sinhc_pi">
<link rel="next" href="inv_hyper/inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.inv_hyper"></a> Inverse Hyperbolic Functions
+<a name="math_toolkit.special.inv_hyper"></a><a class="link" href="inv_hyper.html" title="Inverse Hyperbolic Functions"> Inverse Hyperbolic Functions</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="inv_hyper/inv_hyper_over.html"> Inverse
@@ -37,7 +37,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>acosh</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions">
<link rel="prev" href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">
<link rel="next" href="asinh.html" title="asinh">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.inv_hyper.acosh"></a> acosh
+<a name="math_toolkit.special.inv_hyper.acosh"></a><a class="link" href="acosh.html" title="acosh"> acosh</a>
</h4></div></div></div>
<p>
@@ -34,32 +34,32 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">acosh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">acosh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">acosh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">acosh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Computes the reciprocal of (the restriction to the range of <code class="literal">[0;+∞[</code>)
- <a href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">the hyperbolic
+ <a class="link" href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">the hyperbolic
cosine function</a>, at x. Values returned are positive.
</p>
<p>
If x is in the range <code class="literal">]-∞;+1[</code> then returns the result
- of domain_error.
+ of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> when T is an integer type, and T
otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -67,15 +67,15 @@
<span class="inlinemediaobject"><img src="../../../../graphs/acosh.png" align="middle"></span>
</p>
<a name="math_toolkit.special.inv_hyper.acosh.accuracy"></a><h5>
-<a name="id736434"></a>
- Accuracy
+<a name="id763942"></a>
+ <a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.acosh.testing"></a><h5>
-<a name="id736464"></a>
- Testing
+<a name="id763971"></a>
+ <a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.testing">Testing</a>
</h5>
<p>
This function is tested using a combination of random test values designed
@@ -90,8 +90,8 @@
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.acosh.implementation"></a><h5>
-<a name="id736530"></a>
- Implementation
+<a name="id764038"></a>
+ <a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.implementation">Implementation</a>
</h5>
<p>
For sufficiently large x, we can use the approximation:
@@ -123,7 +123,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>asinh</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions">
<link rel="prev" href="acosh.html" title="acosh">
<link rel="next" href="atanh.html" title="atanh">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.inv_hyper.asinh"></a> asinh
+<a name="math_toolkit.special.inv_hyper.asinh"></a><a class="link" href="asinh.html" title="asinh"> asinh</a>
</h4></div></div></div>
<p>
@@ -34,17 +34,17 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">asinh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">asinh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">asinh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">asinh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
- Computes the reciprocal of <a href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">the
+ Computes the reciprocal of <a class="link" href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">the
hyperbolic sine function</a>.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> when T is an integer type, and T
otherwise.
</p>
@@ -54,23 +54,23 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.inv_hyper.asinh.accuracy"></a><h5>
-<a name="id737100"></a>
- Accuracy
+<a name="id764607"></a>
+ <a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.asinh.testing"></a><h5>
-<a name="id737129"></a>
- Testing
+<a name="id764636"></a>
+ <a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.testing">Testing</a>
</h5>
<p>
This function is tested using a combination of random test values designed
@@ -85,8 +85,8 @@
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.asinh.implementation"></a><h5>
-<a name="id737196"></a>
- Implementation
+<a name="id764703"></a>
+ <a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.implementation">Implementation</a>
</h5>
<p>
For sufficiently large x we can use the approximation:
@@ -118,7 +118,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>atanh</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions">
<link rel="prev" href="asinh.html" title="asinh">
<link rel="next" href="../rounding.html" title="Rounding Truncation and Integer Conversion">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.inv_hyper.atanh"></a> atanh
+<a name="math_toolkit.special.inv_hyper.atanh"></a><a class="link" href="atanh.html" title="atanh"> atanh</a>
</h4></div></div></div>
<p>
@@ -34,41 +34,41 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">atanh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">atanh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">atanh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">atanh</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
- Computes the reciprocal of <a href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">the
+ Computes the reciprocal of <a class="link" href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview">the
hyperbolic tangent function</a>, at x.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
If x is in the range <code class="literal">]-∞;-1[</code> or in the range <code class="literal">]+1;+∞[</code>
- then returns the result of domain_error.
+ then returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
- If x is in the range <code class="literal">[-1;-1+ε[</code>, then the result of -overflow_error is returned, with ε
+ If x is in the range <code class="literal">[-1;-1+ε[</code>, then the result of -<a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a> is returned, with ε
denoting
numeric_limits<T>::epsilon().
</p>
<p>
- If x is in the range <code class="literal">]+1-ε;+1]</code>, then the result of overflow_error is returned, with ε
+ If x is in the range <code class="literal">]+1-ε;+1]</code>, then the result of <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a> is returned, with ε
denoting
numeric_limits<T>::epsilon().
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> when T is an integer type, and T
otherwise.
</p>
@@ -76,15 +76,15 @@
<span class="inlinemediaobject"><img src="../../../../graphs/atanh.png" align="middle"></span>
</p>
<a name="math_toolkit.special.inv_hyper.atanh.accuracy"></a><h5>
-<a name="id737838"></a>
- Accuracy
+<a name="id765345"></a>
+ <a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.atanh.testing"></a><h5>
-<a name="id737867"></a>
- Testing
+<a name="id765374"></a>
+ <a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.testing">Testing</a>
</h5>
<p>
This function is tested using a combination of random test values designed
@@ -99,8 +99,8 @@
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.atanh.implementation"></a><h5>
-<a name="id737933"></a>
- Implementation
+<a name="id765441"></a>
+ <a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.implementation">Implementation</a>
</h5>
<p>
For sufficiently small x we can use the approximation:
@@ -128,7 +128,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/inv_hyper_over.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/inv_hyper_over.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/inv_hyper_over.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Inverse Hyperbolic Functions Overview</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions">
<link rel="prev" href="../inv_hyper.html" title="Inverse Hyperbolic Functions">
<link rel="next" href="acosh.html" title="acosh">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.inv_hyper.inv_hyper_over"></a><a href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview"> Inverse
+<a name="math_toolkit.special.inv_hyper.inv_hyper_over"></a><a class="link" href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview"> Inverse
Hyperbolic Functions Overview</a>
</h4></div></div></div>
<p>
@@ -149,7 +149,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="fpclass.html" title="Floating-Point Classification: Infinities and NaN's">
<link rel="next" href="next_float/nextafter.html" title="Finding the Next Representable Value in a Specific Direction (nextafter)">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.next_float"></a><a href="next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values"> Floating-Point Representation
+<a name="math_toolkit.special.next_float"></a><a class="link" href="next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values"> Floating-Point Representation
Distance (ULP), and Finding Adjacent Floating-Point Values</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -67,7 +67,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_advance.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_advance.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_advance.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
<link rel="prev" href="float_distance.html" title="Calculating the Representation Distance Between Two Floating Point Values (ULP) float_distance">
<link rel="next" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.next_float.float_advance"></a><a href="float_advance.html" title="Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance"> Advancing
+<a name="math_toolkit.special.next_float.float_advance"></a><a class="link" href="float_advance.html" title="Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance"> Advancing
a Floating Point Value by a Specific Representation Distance (ULP) float_advance</a>
</h4></div></div></div>
<p>
@@ -32,8 +32,8 @@
number of ULP.
</p>
<a name="math_toolkit.special.next_float.float_advance.synopsis"></a><h5>
-<a name="id744659"></a>
- Synopsis
+<a name="id772163"></a>
+ <a class="link" href="float_advance.html#math_toolkit.special.next_float.float_advance.synopsis">Synopsis</a>
</h5>
<p>
@@ -50,8 +50,8 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.next_float.float_advance.description___float_advance"></a><h5>
-<a name="id744890"></a>
- <a href="float_advance.html#math_toolkit.special.next_float.float_advance.description___float_advance">Description
+<a name="id772394"></a>
+ <a class="link" href="float_advance.html#math_toolkit.special.next_float.float_advance.description___float_advance">Description
- float_advance</a>
</h5>
<p>
@@ -62,7 +62,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_distance.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_distance.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_distance.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Calculating the Representation Distance Between Two Floating Point Values (ULP) float_distance</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
<link rel="prev" href="float_prior.html" title="Finding the Next Smaller Representable Value (float_prior)">
<link rel="next" href="float_advance.html" title="Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.next_float.float_distance"></a><a href="float_distance.html" title="Calculating the Representation Distance Between Two Floating Point Values (ULP) float_distance"> Calculating
+<a name="math_toolkit.special.next_float.float_distance"></a><a class="link" href="float_distance.html" title="Calculating the Representation Distance Between Two Floating Point Values (ULP) float_distance"> Calculating
the Representation Distance Between Two Floating Point Values (ULP) float_distance</a>
</h4></div></div></div>
<p>
@@ -34,8 +34,8 @@
different.
</p>
<a name="math_toolkit.special.next_float.float_distance.synopsis"></a><h5>
-<a name="id744140"></a>
- Synopsis
+<a name="id771644"></a>
+ <a class="link" href="float_distance.html#math_toolkit.special.next_float.float_distance.synopsis">Synopsis</a>
</h5>
<p>
@@ -52,8 +52,8 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.next_float.float_distance.description___float_distance"></a><h5>
-<a name="id744372"></a>
- <a href="float_distance.html#math_toolkit.special.next_float.float_distance.description___float_distance">Description
+<a name="id771876"></a>
+ <a class="link" href="float_distance.html#math_toolkit.special.next_float.float_distance.description___float_distance">Description
- float_distance</a>
</h5>
<p>
@@ -96,7 +96,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_next.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_next.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_next.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Finding the Next Greater Representable Value (float_next)</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
<link rel="prev" href="nextafter.html" title="Finding the Next Representable Value in a Specific Direction (nextafter)">
<link rel="next" href="float_prior.html" title="Finding the Next Smaller Representable Value (float_prior)">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.next_float.float_next"></a><a href="float_next.html" title="Finding the Next Greater Representable Value (float_next)"> Finding
+<a name="math_toolkit.special.next_float.float_next"></a><a class="link" href="float_next.html" title="Finding the Next Greater Representable Value (float_next)"> Finding
the Next Greater Representable Value (float_next)</a>
</h4></div></div></div>
<a name="math_toolkit.special.next_float.float_next.synopsis"></a><h5>
-<a name="id743384"></a>
- Synopsis
+<a name="id770887"></a>
+ <a class="link" href="float_next.html#math_toolkit.special.next_float.float_next.synopsis">Synopsis</a>
</h5>
<p>
@@ -46,14 +46,14 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.next_float.float_next.description___float_next"></a><h5>
-<a name="id743598"></a>
- <a href="float_next.html#math_toolkit.special.next_float.float_next.description___float_next">Description
+<a name="id771102"></a>
+ <a class="link" href="float_next.html#math_toolkit.special.next_float.float_next.description___float_next">Description
- float_next</a>
</h5>
<p>
Returns the next representable value which is greater than <span class="emphasis"><em>x</em></span>.
- If <span class="emphasis"><em>x</em></span> is non-finite then returns the result of a domain_error. If there is no such value greater
- than <span class="emphasis"><em>x</em></span> then returns an overflow_error.
+ If <span class="emphasis"><em>x</em></span> is non-finite then returns the result of a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>. If there is no such value greater
+ than <span class="emphasis"><em>x</em></span> then returns an <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>.
</p>
<p>
Has the same effect as
@@ -64,7 +64,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_prior.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_prior.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_prior.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Finding the Next Smaller Representable Value (float_prior)</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
<link rel="prev" href="float_next.html" title="Finding the Next Greater Representable Value (float_next)">
<link rel="next" href="float_distance.html" title="Calculating the Representation Distance Between Two Floating Point Values (ULP) float_distance">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.next_float.float_prior"></a><a href="float_prior.html" title="Finding the Next Smaller Representable Value (float_prior)"> Finding
+<a name="math_toolkit.special.next_float.float_prior"></a><a class="link" href="float_prior.html" title="Finding the Next Smaller Representable Value (float_prior)"> Finding
the Next Smaller Representable Value (float_prior)</a>
</h4></div></div></div>
<a name="math_toolkit.special.next_float.float_prior.synopsis"></a><h5>
-<a name="id743752"></a>
- Synopsis
+<a name="id771255"></a>
+ <a class="link" href="float_prior.html#math_toolkit.special.next_float.float_prior.synopsis">Synopsis</a>
</h5>
<p>
@@ -46,14 +46,14 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.next_float.float_prior.description___float_prior"></a><h5>
-<a name="id743966"></a>
- <a href="float_prior.html#math_toolkit.special.next_float.float_prior.description___float_prior">Description
+<a name="id771470"></a>
+ <a class="link" href="float_prior.html#math_toolkit.special.next_float.float_prior.description___float_prior">Description
- float_prior</a>
</h5>
<p>
Returns the next representable value which is less than <span class="emphasis"><em>x</em></span>.
- If <span class="emphasis"><em>x</em></span> is non-finite then returns the result of a domain_error. If there is no such value less
- than <span class="emphasis"><em>x</em></span> then returns an overflow_error.
+ If <span class="emphasis"><em>x</em></span> is non-finite then returns the result of a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>. If there is no such value less
+ than <span class="emphasis"><em>x</em></span> then returns an <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>.
</p>
<p>
Has the same effect as
@@ -64,7 +64,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/nextafter.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/nextafter.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/next_float/nextafter.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Finding the Next Representable Value in a Specific Direction (nextafter)</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
<link rel="prev" href="../next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
<link rel="next" href="float_next.html" title="Finding the Next Greater Representable Value (float_next)">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.next_float.nextafter"></a><a href="nextafter.html" title="Finding the Next Representable Value in a Specific Direction (nextafter)"> Finding
+<a name="math_toolkit.special.next_float.nextafter"></a><a class="link" href="nextafter.html" title="Finding the Next Representable Value in a Specific Direction (nextafter)"> Finding
the Next Representable Value in a Specific Direction (nextafter)</a>
</h4></div></div></div>
<a name="math_toolkit.special.next_float.nextafter.synopsis"></a><h5>
-<a name="id742652"></a>
- Synopsis
+<a name="id770155"></a>
+ <a class="link" href="nextafter.html#math_toolkit.special.next_float.nextafter.synopsis">Synopsis</a>
</h5>
<p>
@@ -46,8 +46,8 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.next_float.nextafter.description___nextafter"></a><h5>
-<a name="id742884"></a>
- <a href="nextafter.html#math_toolkit.special.next_float.nextafter.description___nextafter">Description
+<a name="id770387"></a>
+ <a class="link" href="nextafter.html#math_toolkit.special.next_float.nextafter.description___nextafter">Description
- nextafter</a>
</h5>
<p>
@@ -71,13 +71,13 @@
direction of <span class="emphasis"><em>y</em></span>. If <code class="computeroutput"><span class="identifier">x</span>
<span class="special">==</span> <span class="identifier">y</span></code>
then returns <span class="emphasis"><em>x</em></span>. If <span class="emphasis"><em>x</em></span> is non-finite
- then returns the result of a domain_error.
+ then returns the result of a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
If there is no such value in the direction of <span class="emphasis"><em>y</em></span> then
- returns an overflow_error.
+ returns an <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>.
</p>
<a name="math_toolkit.special.next_float.nextafter.examples___nextafter"></a><h5>
-<a name="id743006"></a>
- <a href="nextafter.html#math_toolkit.special.next_float.nextafter.examples___nextafter">Examples
+<a name="id770510"></a>
+ <a class="link" href="nextafter.html#math_toolkit.special.next_float.nextafter.examples___nextafter">Examples
- nextafter</a>
</h5>
<p>
@@ -98,7 +98,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Logs, Powers, Roots and Exponentials</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="expint/expint_i.html" title="Exponential Integral Ei">
<link rel="next" href="powers/log1p.html" title="log1p">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.powers"></a><a href="powers.html" title="Logs, Powers, Roots and Exponentials"> Logs, Powers, Roots and
+<a name="math_toolkit.special.powers"></a><a class="link" href="powers.html" title="Logs, Powers, Roots and Exponentials"> Logs, Powers, Roots and
Exponentials</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -41,7 +41,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>cbrt</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="prev" href="expm1.html" title="expm1">
<link rel="next" href="sqrt1pm1.html" title="sqrt1pm1">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.powers.cbrt"></a> cbrt
+<a name="math_toolkit.special.powers.cbrt"></a><a class="link" href="cbrt.html" title="cbrt"> cbrt</a>
</h4></div></div></div>
<p>
@@ -36,10 +36,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">cbrt</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cbrt</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">cbrt</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cbrt</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -47,17 +47,17 @@
Returns the cubed root of x: x<sup>1/3</sup>.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return is <code class="computeroutput"><span class="keyword">double</span></code>
when <span class="emphasis"><em>x</em></span> is an integer type and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -71,16 +71,16 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cbrt.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.cbrt.accuracy"></a><h5>
-<a name="id729833"></a>
- Accuracy
+<a name="id757340"></a>
+ <a class="link" href="cbrt.html#math_toolkit.special.powers.cbrt.accuracy">Accuracy</a>
</h5>
<p>
For built in floating-point types <code class="computeroutput"><span class="identifier">cbrt</span></code>
should have approximately 2 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.cbrt.testing"></a><h5>
-<a name="id729874"></a>
- Testing
+<a name="id757381"></a>
+ <a class="link" href="cbrt.html#math_toolkit.special.powers.cbrt.testing">Testing</a>
</h5>
<p>
A mixture of spot test sanity checks, and random high precision test values
@@ -90,7 +90,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Compile Time Power of a Runtime Base</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="prev" href="hypot.html" title="hypot">
<link rel="next" href="../sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.powers.ct_pow"></a><a href="ct_pow.html" title="Compile Time Power of a Runtime Base"> Compile Time Power
+<a name="math_toolkit.special.powers.ct_pow"></a><a class="link" href="ct_pow.html" title="Compile Time Power of a Runtime Base"> Compile Time Power
of a Runtime Base</a>
</h4></div></div></div>
<p>
@@ -32,8 +32,8 @@
computes the compile-time integral power of a run-time base.
</p>
<a name="math_toolkit.special.powers.ct_pow.synopsis"></a><h5>
-<a name="id731540"></a>
- Synopsis
+<a name="id759047"></a>
+ <a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.synopsis">Synopsis</a>
</h5>
<p>
<a href="../../../../../../../../boost/math/special_functions/pow.hpp" target="_top"><code class="computeroutput"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">special_functions</span><span class="special">/</span><span class="identifier">pow</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a>
@@ -41,16 +41,16 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">int</span> <span class="identifier">N</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">pow</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">base</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">pow</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">base</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">int</span> <span class="identifier">N</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Policy</span><span class="special">></span>
-calculated-result-type <span class="identifier">pow</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">base</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">Policy</span><span class="special">&</span> <span class="identifier">policy</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">pow</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">base</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">Policy</span><span class="special">&</span> <span class="identifier">policy</span><span class="special">);</span>
<span class="special">}}</span>
</pre>
<a name="math_toolkit.special.powers.ct_pow.rationale_and_usage"></a><h5>
-<a name="id731903"></a>
- <a href="ct_pow.html#math_toolkit.special.powers.ct_pow.rationale_and_usage">Rationale
+<a name="id759410"></a>
+ <a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.rationale_and_usage">Rationale
and Usage</a>
</h5>
<p>
@@ -91,11 +91,11 @@
Only 3 different products were actually computed.
</p>
<a name="math_toolkit.special.powers.ct_pow.return_type"></a><h5>
-<a name="id732309"></a>
- Return Type
+<a name="id759816"></a>
+ <a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.return_type">Return Type</a>
</h5>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>. For example:
</p>
<div class="itemizedlist"><ul type="disc">
@@ -112,22 +112,22 @@
</li>
</ul></div>
<a name="math_toolkit.special.powers.ct_pow.policies"></a><h5>
-<a name="id732436"></a>
- Policies
+<a name="id759943"></a>
+ <a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.policies">Policies</a>
</h5>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.powers.ct_pow.error_handling"></a><h5>
-<a name="id732489"></a>
- <a href="ct_pow.html#math_toolkit.special.powers.ct_pow.error_handling">Error
+<a name="id759996"></a>
+ <a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.error_handling">Error
Handling</a>
</h5>
<p>
@@ -135,13 +135,13 @@
</p>
<div class="itemizedlist"><ul type="disc">
<li>
- In case of null base and negative exponent, an overflow_error
+ In case of null base and negative exponent, an <a class="link" href="../../main_overview/error_handling.html#overflow_error">overflow_error</a>
occurs since this operation is a division by 0 (it equals to 1/0).
</li>
<li>
- In case of null exponent, an indeterminate_result_error
+ In case of null exponent, an <a class="link" href="../../main_overview/error_handling.html#indeterminate_result_error">indeterminate_result_error</a>
occurs since the result of a null power is indeterminate. Those errors
- follow the <a href="../../main_overview/error_handling.html" title="Error Handling">general
+ follow the <a class="link" href="../../main_overview/error_handling.html" title="Error Handling">general
policies of error handling in Boost.Math</a>.
</li>
</ul></div>
@@ -231,8 +231,8 @@
<span class="keyword">double</span> <span class="identifier">result</span> <span class="special">=</span> <span class="identifier">pow</span><span class="special"><-</span><span class="number">5</span><span class="special">>(</span><span class="identifier">base</span><span class="special">);</span>
</pre>
<a name="math_toolkit.special.powers.ct_pow.acknowledgements"></a><h5>
-<a name="id733664"></a>
- Acknowledgements
+<a name="id761171"></a>
+ <a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.acknowledgements">Acknowledgements</a>
</h5>
<p>
Bruno Lalande submitted this addition to Boost.Math.
@@ -242,8 +242,8 @@
improving the implementation.
</p>
<a name="math_toolkit.special.powers.ct_pow.references"></a><h5>
-<a name="id733702"></a>
- References
+<a name="id761209"></a>
+ <a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.references">References</a>
</h5>
<p>
D.E. Knuth, <span class="emphasis"><em>The Art of Computer Programming, Vol. 2: Seminumerical
@@ -253,7 +253,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>expm1</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="prev" href="log1p.html" title="log1p">
<link rel="next" href="cbrt.html" title="cbrt">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.powers.expm1"></a> expm1
+<a name="math_toolkit.special.powers.expm1"></a><a class="link" href="expm1.html" title="expm1"> expm1</a>
</h4></div></div></div>
<p>
@@ -36,10 +36,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">expm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">expm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">expm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -47,17 +47,17 @@
Returns e<sup>x</sup> - 1.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return is <code class="computeroutput"><span class="keyword">double</span></code>
when <span class="emphasis"><em>x</em></span> is an integer type and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -80,16 +80,16 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.expm1.accuracy"></a><h5>
-<a name="id729333"></a>
- Accuracy
+<a name="id756840"></a>
+ <a class="link" href="expm1.html#math_toolkit.special.powers.expm1.accuracy">Accuracy</a>
</h5>
<p>
For built in floating point types <code class="computeroutput"><span class="identifier">expm1</span></code>
should have approximately 1 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.expm1.testing"></a><h5>
-<a name="id729374"></a>
- Testing
+<a name="id756881"></a>
+ <a class="link" href="expm1.html#math_toolkit.special.powers.expm1.testing">Testing</a>
</h5>
<p>
A mixture of spot test sanity checks, and random high precision test values
@@ -99,7 +99,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>hypot</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="prev" href="powm1.html" title="powm1">
<link rel="next" href="ct_pow.html" title="Compile Time Power of a Runtime Base">
@@ -24,13 +24,13 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.powers.hypot"></a> hypot
+<a name="math_toolkit.special.powers.hypot"></a><a class="link" href="hypot.html" title="hypot"> hypot</a>
</h4></div></div></div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">hypot</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hypot</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">hypot</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hypot</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
<span class="bold"><strong>Effects: </strong></span> computes <span class="inlinemediaobject"><img src="../../../../equations/hypot.png"></span>
@@ -38,17 +38,17 @@
way as to avoid undue underflow and overflow.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are of different
types.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -58,8 +58,8 @@
representable.
</p>
<a name="math_toolkit.special.powers.hypot.implementation"></a><h5>
-<a name="id731416"></a>
- Implementation
+<a name="id758922"></a>
+ <a class="link" href="hypot.html#math_toolkit.special.powers.hypot.implementation">Implementation</a>
</h5>
<p>
The function is even and symmetric in x and y, so first take assume <span class="emphasis"><em>x,y
@@ -79,7 +79,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>log1p</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="prev" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="next" href="expm1.html" title="expm1">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.powers.log1p"></a> log1p
+<a name="math_toolkit.special.powers.log1p"></a><a class="link" href="log1p.html" title="log1p"> log1p</a>
</h4></div></div></div>
<p>
@@ -36,10 +36,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">log1p</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">log1p</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">log1p</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">log1p</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -47,17 +47,17 @@
Returns the natural logarithm of <code class="computeroutput"><span class="identifier">x</span><span class="special">+</span><span class="number">1</span></code>.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return is <code class="computeroutput"><span class="keyword">double</span></code>
when <span class="emphasis"><em>x</em></span> is an integer type and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -93,16 +93,16 @@
<span class="inlinemediaobject"><img src="../../../../graphs/log1p.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.log1p.accuracy"></a><h5>
-<a name="id728737"></a>
- Accuracy
+<a name="id756244"></a>
+ <a class="link" href="log1p.html#math_toolkit.special.powers.log1p.accuracy">Accuracy</a>
</h5>
<p>
For built in floating point types <code class="computeroutput"><span class="identifier">log1p</span></code>
should have approximately 1 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.log1p.testing"></a><h5>
-<a name="id728778"></a>
- Testing
+<a name="id756285"></a>
+ <a class="link" href="log1p.html#math_toolkit.special.powers.log1p.testing">Testing</a>
</h5>
<p>
A mixture of spot test sanity checks, and random high precision test values
@@ -112,7 +112,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>powm1</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="prev" href="sqrt1pm1.html" title="sqrt1pm1">
<link rel="next" href="hypot.html" title="hypot">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.powers.powm1"></a> powm1
+<a name="math_toolkit.special.powers.powm1"></a><a class="link" href="powm1.html" title="powm1"> powm1</a>
</h4></div></div></div>
<p>
@@ -36,10 +36,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">powm1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">powm1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">powm1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">powm1</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -47,16 +47,16 @@
Returns x<sup>y </sup> - 1.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are dufferent types.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -74,15 +74,15 @@
<span class="inlinemediaobject"><img src="../../../../graphs/powm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.powm1.accuracy"></a><h5>
-<a name="id730976"></a>
- Accuracy
+<a name="id758483"></a>
+ <a class="link" href="powm1.html#math_toolkit.special.powers.powm1.accuracy">Accuracy</a>
</h5>
<p>
Should have approximately 2-3 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.powm1.testing"></a><h5>
-<a name="id731005"></a>
- Testing
+<a name="id758512"></a>
+ <a class="link" href="powm1.html#math_toolkit.special.powers.powm1.testing">Testing</a>
</h5>
<p>
A selection of random high precision test values calculated using NTL::RR
@@ -92,7 +92,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>sqrt1pm1</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../powers.html" title="Logs, Powers, Roots and Exponentials">
<link rel="prev" href="cbrt.html" title="cbrt">
<link rel="next" href="powm1.html" title="powm1">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.powers.sqrt1pm1"></a> sqrt1pm1
+<a name="math_toolkit.special.powers.sqrt1pm1"></a><a class="link" href="sqrt1pm1.html" title="sqrt1pm1"> sqrt1pm1</a>
</h4></div></div></div>
<p>
@@ -36,10 +36,10 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">sqrt1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sqrt1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">sqrt1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sqrt1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
@@ -47,17 +47,17 @@
Returns <code class="computeroutput"><span class="identifier">sqrt</span><span class="special">(</span><span class="number">1</span><span class="special">+</span><span class="identifier">x</span><span class="special">)</span> <span class="special">-</span> <span class="number">1</span></code>.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return is <code class="computeroutput"><span class="keyword">double</span></code>
when <span class="emphasis"><em>x</em></span> is an integer type and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -76,16 +76,16 @@
<span class="inlinemediaobject"><img src="../../../../graphs/sqrt1pm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.sqrt1pm1.accuracy"></a><h5>
-<a name="id730407"></a>
- Accuracy
+<a name="id757914"></a>
+ <a class="link" href="sqrt1pm1.html#math_toolkit.special.powers.sqrt1pm1.accuracy">Accuracy</a>
</h5>
<p>
For built in floating-point types <code class="computeroutput"><span class="identifier">sqrt1pm1</span></code>
should have approximately 3 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.sqrt1pm1.testing"></a><h5>
-<a name="id730449"></a>
- Testing
+<a name="id757956"></a>
+ <a class="link" href="sqrt1pm1.html#math_toolkit.special.powers.sqrt1pm1.testing">Testing</a>
</h5>
<p>
A selection of random high precision test values calculated using NTL::RR
@@ -95,7 +95,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Rounding Truncation and Integer Conversion</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="inv_hyper/atanh.html" title="atanh">
<link rel="next" href="rounding/round.html" title="Rounding Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.rounding"></a><a href="rounding.html" title="Rounding Truncation and Integer Conversion"> Rounding Truncation and
+<a name="math_toolkit.special.rounding"></a><a class="link" href="rounding.html" title="Rounding Truncation and Integer Conversion"> Rounding Truncation and
Integer Conversion</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -37,7 +37,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/modf.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/modf.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/modf.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Integer and Fractional Part Splitting (modf)</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../rounding.html" title="Rounding Truncation and Integer Conversion">
<link rel="prev" href="trunc.html" title="Truncation Functions">
<link rel="next" href="../fpclass.html" title="Floating-Point Classification: Infinities and NaN's">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.rounding.modf"></a><a href="modf.html" title="Integer and Fractional Part Splitting (modf)"> Integer and Fractional
+<a name="math_toolkit.special.rounding.modf"></a><a class="link" href="modf.html" title="Integer and Fractional Part Splitting (modf)"> Integer and Fractional
Part Splitting (modf)</a>
</h4></div></div></div>
<p>
@@ -64,14 +64,14 @@
</p>
<p>
If the argument <span class="emphasis"><em>v</em></span> is either non-finite or else outside
- the range of the result type, then returns the result of rounding_error:
+ the range of the result type, then returns the result of <a class="link" href="../../main_overview/error_handling.html#rounding_error">rounding_error</a>:
by default this throws an instance of boost::math::rounding_error.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/round.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/round.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/round.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Rounding Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../rounding.html" title="Rounding Truncation and Integer Conversion">
<link rel="prev" href="../rounding.html" title="Rounding Truncation and Integer Conversion">
<link rel="next" href="trunc.html" title="Truncation Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.rounding.round"></a> Rounding Functions
+<a name="math_toolkit.special.rounding.round"></a><a class="link" href="round.html" title="Rounding Functions"> Rounding Functions</a>
</h4></div></div></div>
<p>
@@ -65,14 +65,14 @@
</p>
<p>
If the argument <span class="emphasis"><em>v</em></span> is either non-finite or else outside
- the range of the result type, then returns the result of rounding_error:
+ the range of the result type, then returns the result of <a class="link" href="../../main_overview/error_handling.html#rounding_error">rounding_error</a>:
by default this throws an instance of boost::math::rounding_error.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/trunc.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/trunc.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/rounding/trunc.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Truncation Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../rounding.html" title="Rounding Truncation and Integer Conversion">
<link rel="prev" href="round.html" title="Rounding Functions">
<link rel="next" href="modf.html" title="Integer and Fractional Part Splitting (modf)">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.rounding.trunc"></a> Truncation Functions
+<a name="math_toolkit.special.rounding.trunc"></a><a class="link" href="trunc.html" title="Truncation Functions"> Truncation Functions</a>
</h4></div></div></div>
<p>
@@ -67,14 +67,14 @@
</p>
<p>
If the argument <span class="emphasis"><em>v</em></span> is either non-finite or else outside
- the range of the result type, then returns the result of rounding_error:
+ the range of the result type, then returns the result of <a class="link" href="../../main_overview/error_handling.html#rounding_error">rounding_error</a>:
by default this throws an instance of boost::math::rounding_error.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Beta Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="factorials/sf_binomial.html" title="Binomial Coefficients">
<link rel="next" href="sf_beta/beta_function.html" title="Beta">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.sf_beta"></a> Beta Functions
+<a name="math_toolkit.special.sf_beta"></a><a class="link" href="sf_beta.html" title="Beta Functions"> Beta Functions</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> Beta</span></dt>
@@ -39,7 +39,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Derivative of the Incomplete Beta Function</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_beta.html" title="Beta Functions">
<link rel="prev" href="ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">
<link rel="next" href="../sf_erf.html" title="Error Functions">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_beta.beta_derivative"></a><a href="beta_derivative.html" title="Derivative of the Incomplete Beta Function"> Derivative
+<a name="math_toolkit.special.sf_beta.beta_derivative"></a><a class="link" href="beta_derivative.html" title="Derivative of the Incomplete Beta Function"> Derivative
of the Incomplete Beta Function</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.beta_derivative.synopsis"></a><h5>
-<a name="id684638"></a>
- Synopsis
+<a name="id712142"></a>
+ <a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,61 +41,61 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.beta_derivative.description"></a><h5>
-<a name="id685097"></a>
- Description
+<a name="id712601"></a>
+ <a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.description">Description</a>
</h5>
<p>
This function finds some uses in statistical distributions: it computes
the partial derivative with respect to <span class="emphasis"><em>x</em></span> of the incomplete
- beta function ibeta.
+ beta function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>.
</p>
<p>
<span class="inlinemediaobject"><img src="../../../../equations/derivative2.png"></span>
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1, T2 and T3 are different
types.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.sf_beta.beta_derivative.accuracy"></a><h5>
-<a name="id685214"></a>
- Accuracy
+<a name="id712719"></a>
+ <a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.accuracy">Accuracy</a>
</h5>
<p>
- Almost identical to the incomplete beta function ibeta.
+ Almost identical to the incomplete beta function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>.
</p>
<a name="math_toolkit.special.sf_beta.beta_derivative.implementation"></a><h5>
-<a name="id685252"></a>
- Implementation
+<a name="id712757"></a>
+ <a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.implementation">Implementation</a>
</h5>
<p>
This function just expose some of the internals of the incomplete beta
- function ibeta:
+ function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>:
refer to the documentation for that function for more information.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Beta</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_beta.html" title="Beta Functions">
<link rel="prev" href="../sf_beta.html" title="Beta Functions">
<link rel="next" href="ibeta_function.html" title="Incomplete Beta Functions">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_beta.beta_function"></a> Beta
+<a name="math_toolkit.special.sf_beta.beta_function"></a><a class="link" href="beta_function.html" title="Beta"> Beta</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.beta_function.synopsis"></a><h5>
-<a name="id671113"></a>
- Synopsis
+<a name="id698624"></a>
+ <a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -40,16 +40,16 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.beta_function.description"></a><h5>
-<a name="id671502"></a>
- Description
+<a name="id699014"></a>
+ <a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.description">Description</a>
</h5>
<p>
The beta function is defined by:
@@ -63,10 +63,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -74,31 +74,31 @@
There are effectively two versions of this function internally: a fully
generic version that is slow, but reasonably accurate, and a much more
efficient approximation that is used where the number of digits in the
- significand of T correspond to a certain <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ significand of T correspond to a certain <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>. In practice any built-in floating-point type you
- will encounter has an appropriate <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ will encounter has an appropriate <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> defined for it. It is also possible, given enough
- machine time, to generate further <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ machine time, to generate further <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>'s using the program libs/math/tools/lanczos_generator.cpp.
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.accuracy"></a><h5>
-<a name="id671679"></a>
- Accuracy
+<a name="id699190"></a>
+ <a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.accuracy">Accuracy</a>
</h5>
<p>
The following table shows peak errors for various domains of input arguments,
along with comparisons to the GSL-1.9
and Cephes libraries.
Note that only results for the widest floating point type on the system
- are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<div class="table">
-<a name="id671726"></a><p class="title"><b>Table 22. Peak Errors In the Beta Function</b></p>
+<a name="id699238"></a><p class="title"><b>Table 22. Peak Errors In the Beta Function</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Beta Function">
<colgroup>
<col>
@@ -244,8 +244,8 @@
very small.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.testing"></a><h5>
-<a name="id671972"></a>
- Testing
+<a name="id699483"></a>
+ <a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.testing">Testing</a>
</h5>
<p>
A mixture of spot tests of exact values, and randomly generated test data
@@ -253,15 +253,15 @@
at 1000-bit precision.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.implementation"></a><h5>
-<a name="id672010"></a>
- Implementation
+<a name="id699521"></a>
+ <a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.implementation">Implementation</a>
</h5>
<p>
Traditional methods of evaluating the beta function either involve evaluating
the gamma functions directly, or taking logarithms and then exponentiating
the result. However, the former is prone to overflows for even very modest
arguments, while the latter is prone to cancellation errors. As an alternative,
- if we regard the gamma function as a white-box containing the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ if we regard the gamma function as a white-box containing the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>, then we can combine the power terms:
</p>
<p>
@@ -282,7 +282,7 @@
to other implementation methods.
</p>
<p>
- The generic implementation - where no <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ The generic implementation - where no <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> approximation is available - is implemented in a very
similar way to the generic version of the gamma function. Again in order
to avoid numerical overflow the power terms that prefix the series and
@@ -320,7 +320,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Incomplete Beta Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_beta.html" title="Beta Functions">
<link rel="prev" href="beta_function.html" title="Beta">
<link rel="next" href="ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_beta.ibeta_function"></a><a href="ibeta_function.html" title="Incomplete Beta Functions"> Incomplete
+<a name="math_toolkit.special.sf_beta.ibeta_function"></a><a class="link" href="ibeta_function.html" title="Incomplete Beta Functions"> Incomplete
Beta Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.ibeta_function.synopsis"></a><h5>
-<a name="id672333"></a>
- Synopsis
+<a name="id699844"></a>
+ <a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,40 +41,40 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.ibeta_function.description"></a><h5>
-<a name="id673715"></a>
- Description
+<a name="id701226"></a>
+ <a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.description">Description</a>
</h5>
<p>
There are four <a href="http://en.wikipedia.org/wiki/Incomplete_beta_function" target="_top">incomplete
beta functions</a> : two are normalised versions (also known as <span class="emphasis"><em>regularized</em></span>
beta functions) that return values in the range [0, 1], and two are non-normalised
- and return values in the range [0, beta(a,
+ and return values in the range [0, <a class="link" href="beta_function.html" title="Beta">beta</a>(a,
b)]. Users interested in statistical applications should use the normalised
(or regularized
) versions (ibeta and ibetac).
@@ -84,25 +84,25 @@
> 0</em></span> and <span class="emphasis"><em>0 <= x <= 1</em></span>.
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1, T2 and T3 are different
types.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the normalised incomplete beta function of a, b and x:
@@ -114,10 +114,10 @@
<span class="inlinemediaobject"><img src="../../../../graphs/ibeta.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the normalised complement of the incomplete beta function of a,
@@ -127,10 +127,10 @@
<span class="inlinemediaobject"><img src="../../../../equations/ibeta4.png"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the full (non-normalised) incomplete beta function of a, b and
@@ -140,10 +140,10 @@
<span class="inlinemediaobject"><img src="../../../../equations/ibeta1.png"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the full (non-normalised) complement of the incomplete beta function
@@ -153,15 +153,15 @@
<span class="inlinemediaobject"><img src="../../../../equations/ibeta2.png"></span>
</p>
<a name="math_toolkit.special.sf_beta.ibeta_function.accuracy"></a><h5>
-<a name="id675269"></a>
- Accuracy
+<a name="id702781"></a>
+ <a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.accuracy">Accuracy</a>
</h5>
<p>
The following tables give peak and mean relative errors in over various
domains of a, b and x, along with comparisons to the GSL-1.9
and Cephes libraries.
Note that only results for the widest floating-point type on the system
- are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<p>
@@ -172,7 +172,7 @@
with the wider exponent range of the long double types.
</p>
<div class="table">
-<a name="id675327"></a><p class="title"><b>Table 23. Errors In the Function ibeta(a,b,x)</b></p>
+<a name="id702838"></a><p class="title"><b>Table 23. Errors In the Function ibeta(a,b,x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function ibeta(a,b,x)">
<colgroup>
<col>
@@ -359,7 +359,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id675675"></a><p class="title"><b>Table 24. Errors In the Function ibetac(a,b,x)</b></p>
+<a name="id703187"></a><p class="title"><b>Table 24. Errors In the Function ibetac(a,b,x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function ibetac(a,b,x)">
<colgroup>
<col>
@@ -526,7 +526,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id675960"></a><p class="title"><b>Table 25. Errors In the Function beta(a, b, x)</b></p>
+<a name="id703472"></a><p class="title"><b>Table 25. Errors In the Function beta(a, b, x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function beta(a, b, x)">
<colgroup>
<col>
@@ -693,7 +693,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id676241"></a><p class="title"><b>Table 26. Errors In the Function betac(a,b,x)</b></p>
+<a name="id703753"></a><p class="title"><b>Table 26. Errors In the Function betac(a,b,x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function betac(a,b,x)">
<colgroup>
<col>
@@ -860,8 +860,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_beta.ibeta_function.testing"></a><h5>
-<a name="id676535"></a>
- Testing
+<a name="id704047"></a>
+ <a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.testing">Testing</a>
</h5>
<p>
There are two sets of tests: spot tests compare values taken from <a href="http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized" target="_top">Mathworld's
@@ -878,8 +878,8 @@
have test data that is fully independent of the code.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_function.implementation"></a><h5>
-<a name="id676598"></a>
- Implementation
+<a name="id704110"></a>
+ <a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.implementation">Implementation</a>
</h5>
<p>
This implementation is closely based upon <a href="http://portal.acm.org/citation.cfm?doid=131766.131776" target="_top">"Algorithm
@@ -962,7 +962,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>The Incomplete Beta Function Inverses</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_beta.html" title="Beta Functions">
<link rel="prev" href="ibeta_function.html" title="Incomplete Beta Functions">
<link rel="next" href="beta_derivative.html" title="Derivative of the Incomplete Beta Function">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_beta.ibeta_inv_function"></a><a href="ibeta_inv_function.html" title="The Incomplete Beta Function Inverses"> The
+<a name="math_toolkit.special.sf_beta.ibeta_inv_function"></a><a class="link" href="ibeta_inv_function.html" title="The Incomplete Beta Function Inverses"> The
Incomplete Beta Function Inverses</a>
</h4></div></div></div>
<p>
@@ -37,58 +37,58 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.description"></a><h5>
-<a name="id679745"></a>
- Description
+<a name="id707257"></a>
+ <a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.description">Description</a>
</h5>
<p>
There are six <a href="http://functions.wolfram.com/GammaBetaErf/" target="_top">incomplete
@@ -99,10 +99,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -128,21 +128,21 @@
</td></tr>
</table></div>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when called with arguments T1...TN
of different types.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value <span class="emphasis"><em>x</em></span> such that: <code class="computeroutput"><span class="identifier">p</span>
@@ -168,24 +168,24 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T4</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">T4</span><span class="special">*</span> <span class="identifier">py</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value <span class="emphasis"><em>x</em></span> such that: <code class="computeroutput"><span class="identifier">q</span>
@@ -211,18 +211,18 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value <span class="emphasis"><em>a</em></span> such that: <code class="computeroutput"><span class="identifier">p</span>
@@ -237,18 +237,18 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value <span class="emphasis"><em>a</em></span> such that: <code class="computeroutput"><span class="identifier">q</span>
@@ -263,18 +263,18 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value <span class="emphasis"><em>b</em></span> such that: <code class="computeroutput"><span class="identifier">p</span>
@@ -289,18 +289,18 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibetac_invb</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value <span class="emphasis"><em>b</em></span> such that: <code class="computeroutput"><span class="identifier">q</span>
@@ -315,16 +315,16 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.accuracy"></a><h5>
-<a name="id683464"></a>
- Accuracy
+<a name="id710975"></a>
+ <a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.accuracy">Accuracy</a>
</h5>
<p>
The accuracy of these functions should closely follow that of the regular
@@ -335,8 +335,8 @@
or <code class="computeroutput"><span class="number">1</span></code>.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.testing"></a><h5>
-<a name="id683530"></a>
- Testing
+<a name="id711041"></a>
+ <a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.testing">Testing</a>
</h5>
<p>
There are two sets of tests:
@@ -359,8 +359,8 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_ibeta_inv_and_ibetac_inv"></a><h5>
-<a name="id683608"></a>
- <a href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_ibeta_inv_and_ibetac_inv">Implementation
+<a name="id711119"></a>
+ <a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_ibeta_inv_and_ibetac_inv">Implementation
of ibeta_inv and ibetac_inv</a>
</h5>
<p>
@@ -527,8 +527,8 @@
rapidly converges on the true value.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_inverses_on_the_a_and_b_parameters"></a><h5>
-<a name="id684536"></a>
- <a href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_inverses_on_the_a_and_b_parameters">Implementation
+<a name="id712040"></a>
+ <a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_inverses_on_the_a_and_b_parameters">Implementation
of inverses on the a and b parameters</a>
</h5>
<p>
@@ -555,7 +555,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Error Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function">
<link rel="next" href="sf_erf/error_function.html" title="Error Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.sf_erf"></a> Error Functions
+<a name="math_toolkit.special.sf_erf"></a><a class="link" href="sf_erf.html" title="Error Functions"> Error Functions</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="sf_erf/error_function.html"> Error
@@ -36,7 +36,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Error Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_erf.html" title="Error Functions">
<link rel="prev" href="../sf_erf.html" title="Error Functions">
<link rel="next" href="error_inv.html" title="Error Function Inverses">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_erf.error_function"></a><a href="error_function.html" title="Error Functions"> Error
+<a name="math_toolkit.special.sf_erf.error_function"></a><a class="link" href="error_function.html" title="Error Functions"> Error
Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_erf.error_function.synopsis"></a><h5>
-<a name="id685328"></a>
- Synopsis
+<a name="id712832"></a>
+ <a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,42 +41,42 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.sf_erf.error_function.description"></a><h5>
-<a name="id685875"></a>
- Description
+<a name="id713379"></a>
+ <a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the <a href="http://en.wikipedia.org/wiki/Error_function" target="_top">error
@@ -90,10 +90,10 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erf.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the complement of the <a href="http://functions.wolfram.com/GammaBetaErf/Erfc/" target="_top">error
@@ -106,8 +106,8 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erfc.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_erf.error_function.accuracy"></a><h5>
-<a name="id686412"></a>
- Accuracy
+<a name="id713916"></a>
+ <a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
@@ -116,10 +116,10 @@
<a href="http://www.gnu.org/software/libc/" target="_top">GNU C Lib</a>, <a href="http://docs.hp.com/en/B9106-90010/index.html" target="_top">HP-UX C Library</a>
and Cephes libraries.
Unless otherwise specified any floating point type that is narrower than
- the one shown will have effectively zero error.
+ the one shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
-<a name="id686472"></a><p class="title"><b>Table 27. Errors In the Function erf(z)</b></p>
+<a name="id713977"></a><p class="title"><b>Table 27. Errors In the Function erf(z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function erf(z)">
<colgroup>
<col>
@@ -325,7 +325,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id686846"></a><p class="title"><b>Table 28. Errors In the Function erfc(z)</b></p>
+<a name="id714350"></a><p class="title"><b>Table 28. Errors In the Function erfc(z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function erfc(z)">
<colgroup>
<col>
@@ -531,8 +531,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_erf.error_function.testing"></a><h5>
-<a name="id687229"></a>
- Testing
+<a name="id714733"></a>
+ <a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.testing">Testing</a>
</h5>
<p>
The tests for these functions come in two parts: basic sanity checks use
@@ -546,8 +546,8 @@
check.
</p>
<a name="math_toolkit.special.sf_erf.error_function.implementation"></a><h5>
-<a name="id687282"></a>
- Implementation
+<a name="id714786"></a>
+ <a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.implementation">Implementation</a>
</h5>
<p>
All versions of these functions first use the usual reflection formulas
@@ -566,7 +566,7 @@
<p>
When the significand (mantissa) size is recognised (currently for 53, 64
and 113-bit reals, plus single-precision 24-bit handled via promotion to
- double) then a series of rational approximations <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ double) then a series of rational approximations <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> are used.
</p>
<p>
@@ -624,7 +624,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Error Function Inverses</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_erf.html" title="Error Functions">
<link rel="prev" href="error_function.html" title="Error Functions">
<link rel="next" href="../sf_poly.html" title="Polynomials">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_erf.error_inv"></a><a href="error_inv.html" title="Error Function Inverses"> Error Function
+<a name="math_toolkit.special.sf_erf.error_inv"></a><a class="link" href="error_inv.html" title="Error Function Inverses"> Error Function
Inverses</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_erf.error_inv.synopsis"></a><h5>
-<a name="id688303"></a>
- Synopsis
+<a name="id715807"></a>
+ <a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,42 +41,42 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.sf_erf.error_inv.description"></a><h5>
-<a name="id688849"></a>
- Description
+<a name="id716354"></a>
+ <a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erf_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the <a href="http://functions.wolfram.com/GammaBetaErf/InverseErf/" target="_top">inverse
@@ -88,10 +88,10 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erf_inv.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">erfc_inv</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the inverse of the complement of the error function of z, that
@@ -103,18 +103,18 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erfc_inv.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_erf.error_inv.accuracy"></a><h5>
-<a name="id689394"></a>
- Accuracy
+<a name="id716898"></a>
+ <a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.accuracy">Accuracy</a>
</h5>
<p>
For types up to and including 80-bit long doubles the approximations used
are accurate to less than ~ 2 epsilon. For higher precision types these
- functions have the same accuracy as the <a href="error_function.html" title="Error Functions">forward
+ functions have the same accuracy as the <a class="link" href="error_function.html" title="Error Functions">forward
error functions</a>.
</p>
<a name="math_toolkit.special.sf_erf.error_inv.testing"></a><h5>
-<a name="id689434"></a>
- Testing
+<a name="id716939"></a>
+ <a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.testing">Testing</a>
</h5>
<p>
There are two sets of tests:
@@ -135,11 +135,11 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_erf.error_inv.implementation"></a><h5>
-<a name="id689502"></a>
- Implementation
+<a name="id717006"></a>
+ <a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.implementation">Implementation</a>
</h5>
<p>
- These functions use a rational approximation <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ These functions use a rational approximation <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> to calculate an initial approximation to the result that is
accurate to ~10<sup>-19</sup>, then only if that has insufficient accuracy compared
to the epsilon for T, do we clean up the result using <a href="http://en.wikipedia.org/wiki/Simple_rational_approximation" target="_top">Halley
@@ -196,7 +196,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Gamma Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="../special.html" title="Special Functions">
<link rel="next" href="sf_gamma/tgamma.html" title="Gamma">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.sf_gamma"></a> Gamma Functions
+<a name="math_toolkit.special.sf_gamma"></a><a class="link" href="sf_gamma.html" title="Gamma Functions"> Gamma Functions</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> Gamma</span></dt>
@@ -43,7 +43,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Digamma</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_gamma.html" title="Gamma Functions">
<link rel="prev" href="lgamma.html" title="Log Gamma">
<link rel="next" href="gamma_ratios.html" title="Ratios of Gamma Functions">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_gamma.digamma"></a> Digamma
+<a name="math_toolkit.special.sf_gamma.digamma"></a><a class="link" href="digamma.html" title="Digamma"> Digamma</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.digamma.synopsis"></a><h5>
-<a name="id656195"></a>
- Synopsis
+<a name="id683706"></a>
+ <a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.synopsis">Synopsis</a>
</h5>
<p>
@@ -40,16 +40,16 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">digamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">digamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">digamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">digamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.digamma.description"></a><h5>
-<a name="id656516"></a>
- Description
+<a name="id684027"></a>
+ <a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.description">Description</a>
</h5>
<p>
Returns the digamma or psi function of <span class="emphasis"><em>x</em></span>. Digamma
@@ -64,10 +64,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -77,19 +77,19 @@
34-digits of precision.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the result is of type <code class="computeroutput"><span class="keyword">double</span></code> when T is an integer type, and type
T otherwise.
</p>
<a name="math_toolkit.special.sf_gamma.digamma.accuracy"></a><h5>
-<a name="id656676"></a>
- Accuracy
+<a name="id684187"></a>
+ <a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
various platforms with various floating point types. Unless otherwise specified
any floating point type that is narrower than the one shown will have
- effectively zero error.
+ <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="informaltable"><table class="table">
<colgroup>
@@ -270,18 +270,18 @@
absolute error will remain very low.
</p>
<a name="math_toolkit.special.sf_gamma.digamma.testing"></a><h5>
-<a name="id656980"></a>
- Testing
+<a name="id684491"></a>
+ <a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.testing">Testing</a>
</h5>
<p>
There are two sets of tests: spot values are computed using the online
calculator at functions.wolfram.com, while random test values are generated
- using the high-precision reference implementation (a differentiated Lanczos approximation
+ using the high-precision reference implementation (a differentiated <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos approximation</a>
see below).
</p>
<a name="math_toolkit.special.sf_gamma.digamma.implementation"></a><h5>
-<a name="id657022"></a>
- Implementation
+<a name="id684534"></a>
+ <a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.implementation">Implementation</a>
</h5>
<p>
The implementation is divided up into the following domains:
@@ -303,7 +303,7 @@
is used to shift the evaluation to [1,2].
</p>
<p>
- For arguments in the range [1,2] a rational approximation <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ For arguments in the range [1,2] a rational approximation <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> is used (see below).
</p>
<p>
@@ -331,12 +331,12 @@
<code class="computeroutput"><span class="number">1</span><span class="special">/(</span><span class="identifier">x</span><span class="special">*</span><span class="identifier">x</span><span class="special">)</span></code>.
</p>
<p>
- The rational approximation <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ The rational approximation <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> in the range [1,2] is derived as follows.
</p>
<p>
First a high precision approximation to digamma was constructed using a
- 60-term differentiated <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ 60-term differentiated <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>, the form used is:
</p>
<p>
@@ -362,7 +362,7 @@
the difficulty lies in independently verifying the value obtained.
</p>
<p>
- The rational approximation <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ The rational approximation <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> was optimised for absolute error using the form:
</p>
<pre class="programlisting"><span class="identifier">digamma</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">=</span> <span class="special">(</span><span class="identifier">x</span> <span class="special">-</span> <span class="identifier">X0</span><span class="special">)(</span><span class="identifier">Y</span> <span class="special">+</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">x</span> <span class="special">-</span> <span class="number">1</span><span class="special">));</span>
@@ -380,7 +380,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Derivative of the Incomplete Gamma Function</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_gamma.html" title="Gamma Functions">
<link rel="prev" href="igamma_inv.html" title="Incomplete Gamma Function Inverses">
<link rel="next" href="../factorials.html" title="Factorials and Binomial Coefficients">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_gamma.gamma_derivatives"></a><a href="gamma_derivatives.html" title="Derivative of the Incomplete Gamma Function"> Derivative
+<a name="math_toolkit.special.sf_gamma.gamma_derivatives"></a><a class="link" href="gamma_derivatives.html" title="Derivative of the Incomplete Gamma Function"> Derivative
of the Incomplete Gamma Function</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.synopsis"></a><h5>
-<a name="id667138"></a>
- Synopsis
+<a name="id694650"></a>
+ <a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,16 +41,16 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.description"></a><h5>
-<a name="id667529"></a>
- Description
+<a name="id695040"></a>
+ <a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.description">Description</a>
</h5>
<p>
This function find some uses in statistical distributions: it implements
@@ -63,44 +63,44 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- Note that the derivative of the function gamma_q
+ Note that the derivative of the function <a class="link" href="igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
can be obtained by negating the result of this function.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types,
otherwise the return type is simply T1.
</p>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.accuracy"></a><h5>
-<a name="id667653"></a>
- Accuracy
+<a name="id695164"></a>
+ <a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.accuracy">Accuracy</a>
</h5>
<p>
- Almost identical to the incomplete gamma function gamma_p:
+ Almost identical to the incomplete gamma function <a class="link" href="igamma.html" title="Incomplete Gamma Functions">gamma_p</a>:
refer to the documentation for that function for more information.
</p>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.implementation"></a><h5>
-<a name="id667694"></a>
- Implementation
+<a name="id695205"></a>
+ <a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.implementation">Implementation</a>
</h5>
<p>
This function just expose some of the internals of the incomplete gamma
- function gamma_p:
+ function <a class="link" href="igamma.html" title="Incomplete Gamma Functions">gamma_p</a>:
refer to the documentation for that function for more information.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Ratios of Gamma Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_gamma.html" title="Gamma Functions">
<link rel="prev" href="digamma.html" title="Digamma">
<link rel="next" href="igamma.html" title="Incomplete Gamma Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_gamma.gamma_ratios"></a><a href="gamma_ratios.html" title="Ratios of Gamma Functions"> Ratios
+<a name="math_toolkit.special.sf_gamma.gamma_ratios"></a><a class="link" href="gamma_ratios.html" title="Ratios of Gamma Functions"> Ratios
of Gamma Functions</a>
</h4></div></div></div>
<p>
@@ -37,28 +37,28 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Policy</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.gamma_ratios.description"></a><h5>
-<a name="id658397"></a>
- Description
+<a name="id685909"></a>
+ <a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the ratio of gamma functions:
@@ -69,10 +69,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -81,10 +81,10 @@
<span class="identifier">b</span><span class="special">-</span><span class="identifier">a</span><span class="special">)</span></code>.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_delta_ratio</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">delta</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the ratio of gamma functions:
@@ -95,10 +95,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -109,7 +109,7 @@
is large and <span class="emphasis"><em>delta</em></span> is very small.
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types,
otherwise the result type is simple T1.
</p>
@@ -117,17 +117,17 @@
<span class="inlinemediaobject"><img src="../../../../graphs/tgamma_delta_ratio.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_gamma.gamma_ratios.accuracy"></a><h5>
-<a name="id659168"></a>
- Accuracy
+<a name="id686679"></a>
+ <a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
various platforms with various floating point types. Unless otherwise specified
any floating point type that is narrower than the one shown will have
- effectively zero error.
+ <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
-<a name="id659201"></a><p class="title"><b>Table 16. Errors In the Function tgamma_delta_ratio(a, delta)</b></p>
+<a name="id686712"></a><p class="title"><b>Table 16. Errors In the Function tgamma_delta_ratio(a, delta)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma_delta_ratio(a, delta)">
<colgroup>
<col>
@@ -230,7 +230,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id659361"></a><p class="title"><b>Table 17. Errors In the Function tgamma_ratio(a,
+<a name="id686873"></a><p class="title"><b>Table 17. Errors In the Function tgamma_ratio(a,
b)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma_ratio(a,
b)">
@@ -329,8 +329,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_gamma.gamma_ratios.testing"></a><h5>
-<a name="id659523"></a>
- Testing
+<a name="id687035"></a>
+ <a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.testing">Testing</a>
</h5>
<p>
Accuracy tests use data generated at very high precision (with <a href="http://shoup.net/ntl/doc/RR.txt" target="_top">NTL
@@ -338,11 +338,11 @@
a deliberately naive calculation of Γ(x)/Γ(y).
</p>
<a name="math_toolkit.special.sf_gamma.gamma_ratios.implementation"></a><h5>
-<a name="id659563"></a>
- Implementation
+<a name="id687075"></a>
+ <a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.implementation">Implementation</a>
</h5>
<p>
- The implementation of these functions is very similar to that of beta, and is
+ The implementation of these functions is very similar to that of <a class="link" href="../sf_beta/beta_function.html" title="Beta">beta</a>, and is
based on combining similar power terms to improve accuracy and avoid spurious
overflow/underflow.
</p>
@@ -356,7 +356,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Incomplete Gamma Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_gamma.html" title="Gamma Functions">
<link rel="prev" href="gamma_ratios.html" title="Ratios of Gamma Functions">
<link rel="next" href="igamma_inv.html" title="Incomplete Gamma Function Inverses">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_gamma.igamma"></a><a href="igamma.html" title="Incomplete Gamma Functions"> Incomplete Gamma
+<a name="math_toolkit.special.sf_gamma.igamma"></a><a class="link" href="igamma.html" title="Incomplete Gamma Functions"> Incomplete Gamma
Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.igamma.synopsis"></a><h5>
-<a name="id659637"></a>
- Synopsis
+<a name="id687148"></a>
+ <a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,34 +41,34 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.igamma.description"></a><h5>
-<a name="id660743"></a>
- Description
+<a name="id688255"></a>
+ <a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.description">Description</a>
</h5>
<p>
There are four <a href="http://mathworld.wolfram.com/IncompleteGammaFunction.html" target="_top">incomplete
@@ -80,28 +80,28 @@
</p>
<p>
All of these functions require <span class="emphasis"><em>a > 0</em></span> and <span class="emphasis"><em>z
- >= 0</em></span>, otherwise they return the result of domain_error.
+ >= 0</em></span>, otherwise they return the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types,
otherwise the return type is simply T1.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Policy</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the normalised lower incomplete gamma function of a and z:
@@ -116,10 +116,10 @@
<span class="inlinemediaobject"><img src="../../../../graphs/gamma_p.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the normalised upper incomplete gamma function of a and z:
@@ -134,10 +134,10 @@
<span class="inlinemediaobject"><img src="../../../../graphs/gamma_q.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma_lower</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the full (non-normalised) lower incomplete gamma function of a
@@ -147,10 +147,10 @@
<span class="inlinemediaobject"><img src="../../../../equations/igamma2.png"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the full (non-normalised) upper incomplete gamma function of a
@@ -160,15 +160,15 @@
<span class="inlinemediaobject"><img src="../../../../equations/igamma1.png"></span>
</p>
<a name="math_toolkit.special.sf_gamma.igamma.accuracy"></a><h5>
-<a name="id662067"></a>
- Accuracy
+<a name="id689578"></a>
+ <a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.accuracy">Accuracy</a>
</h5>
<p>
The following tables give peak and mean relative errors in over various
domains of a and z, along with comparisons to the GSL-1.9
and Cephes libraries.
Note that only results for the widest floating point type on the system
- are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<p>
@@ -185,7 +185,7 @@
All values are in units of epsilon.
</p>
<div class="table">
-<a name="id662136"></a><p class="title"><b>Table 18. Errors In the Function gamma_p(a,z)</b></p>
+<a name="id689648"></a><p class="title"><b>Table 18. Errors In the Function gamma_p(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function gamma_p(a,z)">
<colgroup>
<col>
@@ -372,7 +372,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id662455"></a><p class="title"><b>Table 19. Errors In the Function gamma_q(a,z)</b></p>
+<a name="id689967"></a><p class="title"><b>Table 19. Errors In the Function gamma_q(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function gamma_q(a,z)">
<colgroup>
<col>
@@ -558,7 +558,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id662793"></a><p class="title"><b>Table 20. Errors In the Function tgamma_lower(a,z)</b></p>
+<a name="id690304"></a><p class="title"><b>Table 20. Errors In the Function tgamma_lower(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma_lower(a,z)">
<colgroup>
<col>
@@ -693,7 +693,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id663006"></a><p class="title"><b>Table 21. Errors In the Function tgamma(a,z)</b></p>
+<a name="id690517"></a><p class="title"><b>Table 21. Errors In the Function tgamma(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma(a,z)">
<colgroup>
<col>
@@ -828,15 +828,15 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_gamma.igamma.testing"></a><h5>
-<a name="id663227"></a>
- Testing
+<a name="id690739"></a>
+ <a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.testing">Testing</a>
</h5>
<p>
There are two sets of tests: spot tests compare values taken from Mathworld's online evaluator
with this implementation to perform a basic "sanity check". Accuracy
tests use data generated at very high precision (using NTL's RR class set
at 1000-bit precision) using this implementation with a very high precision
- 60-term Lanczos approximation,
+ 60-term <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos approximation</a>,
and some but not all of the special case handling disabled. This is less
than satisfactory: an independent method should really be used, but apparently
a complete lack of such methods are available. We can't even use a deliberately
@@ -844,8 +844,8 @@
fraction (see below) is unstable for small a and z.
</p>
<a name="math_toolkit.special.sf_gamma.igamma.implementation"></a><h5>
-<a name="id663286"></a>
- Implementation
+<a name="id690797"></a>
+ <a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.implementation">Implementation</a>
</h5>
<p>
These four functions share a common implementation since they are all related
@@ -896,11 +896,11 @@
7) <span class="inlinemediaobject"><img src="../../../../equations/igamma11.png"></span>
</p>
<p>
- Refer to the documentation for powm1
- and tgamma1pm1
+ Refer to the documentation for <a class="link" href="../powers/powm1.html" title="powm1">powm1</a>
+ and <a class="link" href="tgamma.html" title="Gamma">tgamma1pm1</a>
for details of their implementation. Note however that the precision of
- tgamma1pm1
- is capped to either around 35 digits, or to that of the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ <a class="link" href="tgamma.html" title="Gamma">tgamma1pm1</a>
+ is capped to either around 35 digits, or to that of the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> associated with type T - if there is one - whichever
of the two is the greater. That therefore imposes a similar limit on the
precision of this function in this region.
@@ -982,7 +982,7 @@
<p>
For the normalised incomplete gamma functions, calculation of the leading
power terms is central to the accuracy of the function. For smallish a
- and x combining the power terms with the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ and x combining the power terms with the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> gives the greatest accuracy:
</p>
<p>
@@ -1013,8 +1013,8 @@
by Temme (see references below).
</p>
<a name="math_toolkit.special.sf_gamma.igamma.references"></a><h5>
-<a name="id664312"></a>
- References
+<a name="id691824"></a>
+ <a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
@@ -1040,7 +1040,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Incomplete Gamma Function Inverses</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_gamma.html" title="Gamma Functions">
<link rel="prev" href="igamma.html" title="Incomplete Gamma Functions">
<link rel="next" href="gamma_derivatives.html" title="Derivative of the Incomplete Gamma Function">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_gamma.igamma_inv"></a><a href="igamma_inv.html" title="Incomplete Gamma Function Inverses"> Incomplete
+<a name="math_toolkit.special.sf_gamma.igamma_inv"></a><a class="link" href="igamma_inv.html" title="Incomplete Gamma Function Inverses"> Incomplete
Gamma Function Inverses</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.igamma_inv.synopsis"></a><h5>
-<a name="id664394"></a>
- Synopsis
+<a name="id691906"></a>
+ <a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,34 +41,34 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.igamma_inv.description"></a><h5>
-<a name="id665503"></a>
- Description
+<a name="id693014"></a>
+ <a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.description">Description</a>
</h5>
<p>
There are four <a href="http://mathworld.wolfram.com/IncompleteGammaFunction.html" target="_top">incomplete
@@ -78,17 +78,17 @@
either <span class="emphasis"><em>p</em></span> or <span class="emphasis"><em>q</em></span>.
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types,
otherwise the return type is simply T1.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -113,10 +113,10 @@
</td></tr>
</table></div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value x such that: <code class="computeroutput"><span class="identifier">q</span>
@@ -128,10 +128,10 @@
0</em></span>.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inv</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value x such that: <code class="computeroutput"><span class="identifier">p</span>
@@ -143,10 +143,10 @@
0</em></span>.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_q_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">q</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value a such that: <code class="computeroutput"><span class="identifier">q</span>
@@ -158,10 +158,10 @@
0</em></span>.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">gamma_p_inva</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">p</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns a value a such that: <code class="computeroutput"><span class="identifier">p</span>
@@ -173,8 +173,8 @@
0</em></span>.
</p>
<a name="math_toolkit.special.sf_gamma.igamma_inv.accuracy"></a><h5>
-<a name="id666894"></a>
- Accuracy
+<a name="id694406"></a>
+ <a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.accuracy">Accuracy</a>
</h5>
<p>
The accuracy of these functions doesn't vary much by platform or by the
@@ -182,13 +182,13 @@
are deliberately "detuned" so as not to be too accurate: it is
in any case impossible for these function to be more accurate than the
regular forward incomplete gamma functions. In practice, the accuracy of
- these functions is very similar to that of gamma_p
- and gamma_q
+ these functions is very similar to that of <a class="link" href="igamma.html" title="Incomplete Gamma Functions">gamma_p</a>
+ and <a class="link" href="igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
functions.
</p>
<a name="math_toolkit.special.sf_gamma.igamma_inv.testing"></a><h5>
-<a name="id666948"></a>
- Testing
+<a name="id694459"></a>
+ <a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.testing">Testing</a>
</h5>
<p>
There are two sets of tests:
@@ -210,8 +210,8 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_gamma.igamma_inv.implementation"></a><h5>
-<a name="id667023"></a>
- Implementation
+<a name="id694534"></a>
+ <a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.implementation">Implementation</a>
</h5>
<p>
The functions gamma_p_inv and gamma_q_inv
@@ -250,7 +250,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Log Gamma</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_gamma.html" title="Gamma Functions">
<link rel="prev" href="tgamma.html" title="Gamma">
<link rel="next" href="digamma.html" title="Digamma">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_gamma.lgamma"></a> Log Gamma
+<a name="math_toolkit.special.sf_gamma.lgamma"></a><a class="link" href="lgamma.html" title="Log Gamma"> Log Gamma</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.lgamma.synopsis"></a><h5>
-<a name="id653833"></a>
- Synopsis
+<a name="id681345"></a>
+ <a class="link" href="lgamma.html#math_toolkit.special.sf_gamma.lgamma.synopsis">Synopsis</a>
</h5>
<p>
@@ -40,22 +40,22 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">int</span><span class="special">*</span> <span class="identifier">sign</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">int</span><span class="special">*</span> <span class="identifier">sign</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">int</span><span class="special">*</span> <span class="identifier">sign</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">lgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">int</span><span class="special">*</span> <span class="identifier">sign</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.lgamma.description"></a><h5>
-<a name="id654368"></a>
- Description
+<a name="id681879"></a>
+ <a class="link" href="lgamma.html#math_toolkit.special.sf_gamma.lgamma.description">Description</a>
</h5>
<p>
The lgamma function
@@ -71,10 +71,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -85,21 +85,21 @@
There are effectively two versions of this function internally: a fully
generic version that is slow, but reasonably accurate, and a much more
efficient approximation that is used where the number of digits in the
- significand of T correspond to a certain <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ significand of T correspond to a certain <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>. In practice, any built-in floating-point type you
- will encounter has an appropriate <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ will encounter has an appropriate <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> defined for it. It is also possible, given enough
- machine time, to generate further <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ machine time, to generate further <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>'s using the program libs/math/tools/lanczos_generator.cpp.
</p>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the result is of type <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, or type
T otherwise.
</p>
<a name="math_toolkit.special.sf_gamma.lgamma.accuracy"></a><h5>
-<a name="id654570"></a>
- Accuracy
+<a name="id682081"></a>
+ <a class="link" href="lgamma.html#math_toolkit.special.sf_gamma.lgamma.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
@@ -108,7 +108,7 @@
<a href="http://www.gnu.org/software/libc/" target="_top">GNU C Lib</a>, <a href="http://docs.hp.com/en/B9106-90010/index.html" target="_top">HP-UX C Library</a>
and Cephes libraries.
Unless otherwise specified any floating point type that is narrower than
- the one shown will have effectively zero error.
+ the one shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<p>
Note that while the relative errors near the positive roots of lgamma are
@@ -349,8 +349,8 @@
</tbody>
</table></div>
<a name="math_toolkit.special.sf_gamma.lgamma.testing"></a><h5>
-<a name="id655093"></a>
- Testing
+<a name="id682605"></a>
+ <a class="link" href="lgamma.html#math_toolkit.special.sf_gamma.lgamma.testing">Testing</a>
</h5>
<p>
The main tests for this function involve comparisons against the logs of
@@ -360,8 +360,8 @@
Random tests in key problem areas are also used.
</p>
<a name="math_toolkit.special.sf_gamma.lgamma.implementation"></a><h5>
-<a name="id655129"></a>
- Implementation
+<a name="id682640"></a>
+ <a class="link" href="lgamma.html#math_toolkit.special.sf_gamma.lgamma.implementation">Implementation</a>
</h5>
<p>
The generic version of this function is implemented by combining the series
@@ -380,10 +380,10 @@
<span class="inlinemediaobject"><img src="../../../../equations/lgamm3.png"></span>
</p>
<p>
- For types of known precision, the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ For types of known precision, the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> is used, a traits class <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">lanczos</span><span class="special">::</span><span class="identifier">lanczos_traits</span></code>
maps type T to an appropriate approximation. The logarithmic version of
- the Lanczos approximation
+ the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos approximation</a>
is:
</p>
<p>
@@ -396,14 +396,14 @@
As before the reflection formula is used for <span class="emphasis"><em>z < 0</em></span>.
</p>
<p>
- When z is very near 1 or 2, then the logarithmic version of the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ When z is very near 1 or 2, then the logarithmic version of the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> suffers very badly from cancellation error: indeed
for values sufficiently close to 1 or 2, arbitrarily large relative errors
can be obtained (even though the absolute error is tiny).
</p>
<p>
For types with up to 113 bits of precision (up to and including 128-bit
- long doubles), root-preserving rational approximations <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ long doubles), root-preserving rational approximations <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> are used over the intervals [1,2] and [2,3]. Over the interval
[2,3] the approximation form used is:
</p>
@@ -444,9 +444,9 @@
than cancelled.
</p>
<p>
- For other types which do have a <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ For other types which do have a <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> defined for them the current solution is as follows:
- imagine we balance the two terms in the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ imagine we balance the two terms in the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> by dividing the power term by its value at <span class="emphasis"><em>z
= 1</em></span>, and then multiplying the Lanczos coefficients by the same
value. Now each term will take the value 1 at <span class="emphasis"><em>z = 1</em></span>
@@ -460,7 +460,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/lgamm5.png"></span>
</p>
<p>
- The C<sub>k</sub> terms in the above are the same as in the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ The C<sub>k</sub> terms in the above are the same as in the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>.
</p>
<p>
@@ -473,7 +473,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Gamma</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_gamma.html" title="Gamma Functions">
<link rel="prev" href="../sf_gamma.html" title="Gamma Functions">
<link rel="next" href="lgamma.html" title="Log Gamma">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_gamma.tgamma"></a> Gamma
+<a name="math_toolkit.special.sf_gamma.tgamma"></a><a class="link" href="tgamma.html" title="Gamma"> Gamma</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.tgamma.synopsis"></a><h5>
-<a name="id651416"></a>
- Synopsis
+<a name="id678928"></a>
+ <a class="link" href="tgamma.html#math_toolkit.special.sf_gamma.tgamma.synopsis">Synopsis</a>
</h5>
<p>
@@ -40,28 +40,28 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.tgamma.description"></a><h5>
-<a name="id651907"></a>
- Description
+<a name="id679418"></a>
+ <a class="link" href="tgamma.html#math_toolkit.special.sf_gamma.tgamma.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the "true gamma" (hence name tgamma) of value z:
@@ -75,10 +75,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -86,23 +86,23 @@
There are effectively two versions of the tgamma
function internally: a fully generic version that is slow, but reasonably
accurate, and a much more efficient approximation that is used where the
- number of digits in the significand of T correspond to a certain Lanczos approximation.
+ number of digits in the significand of T correspond to a certain <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos approximation</a>.
In practice any built in floating point type you will encounter has an
- appropriate <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ appropriate <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> defined for it. It is also possible, given enough
- machine time, to generate further <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ machine time, to generate further <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a>'s using the program libs/math/tools/lanczos_generator.cpp.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the result is <code class="computeroutput"><span class="keyword">double</span></code>
when T is an integer type, and T otherwise.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">dz</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns <code class="computeroutput"><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">dz</span> <span class="special">+</span> <span class="number">1</span><span class="special">)</span> <span class="special">-</span>
@@ -110,27 +110,27 @@
does not make use of the addition and subtraction implied by the definition,
leading to accurate results even for very small <code class="computeroutput"><span class="identifier">dz</span></code>.
However, the implementation is capped to either 35 digit accuracy, or to
- the precision of the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ the precision of the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> associated with type T, whichever is more accurate.
</p>
<p>
- The return type of this function is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the result is <code class="computeroutput"><span class="keyword">double</span></code>
when T is an integer type, and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.sf_gamma.tgamma.accuracy"></a><h5>
-<a name="id652594"></a>
- Accuracy
+<a name="id680105"></a>
+ <a class="link" href="tgamma.html#math_toolkit.special.sf_gamma.tgamma.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
@@ -139,7 +139,7 @@
<a href="http://www.gnu.org/software/libc/" target="_top">GNU C Lib</a>, <a href="http://docs.hp.com/en/B9106-90010/index.html" target="_top">HP-UX C Library</a>
and Cephes libraries.
Unless otherwise specified any floating point type that is narrower than
- the one shown will have effectively zero error.
+ the one shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="informaltable"><table class="table">
<colgroup>
@@ -384,8 +384,8 @@
</tbody>
</table></div>
<a name="math_toolkit.special.sf_gamma.tgamma.testing"></a><h5>
-<a name="id653129"></a>
- Testing
+<a name="id680641"></a>
+ <a class="link" href="tgamma.html#math_toolkit.special.sf_gamma.tgamma.testing">Testing</a>
</h5>
<p>
The gamma is relatively easy to test: factorials and half-integer factorials
@@ -399,8 +399,8 @@
a lanczos approximation accurate to around 100 decimal digits.
</p>
<a name="math_toolkit.special.sf_gamma.tgamma.implementation"></a><h5>
-<a name="id653222"></a>
- Implementation
+<a name="id680733"></a>
+ <a class="link" href="tgamma.html#math_toolkit.special.sf_gamma.tgamma.implementation">Implementation</a>
</h5>
<p>
The generic version of the <code class="computeroutput"><span class="identifier">tgamma</span></code>
@@ -415,7 +415,7 @@
<code class="literal">l = max(10, a)</code> seems to work fairly well.
</p>
<p>
- For types of known precision the <a href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ For types of known precision the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> is used, a traits class <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">lanczos</span><span class="special">::</span><span class="identifier">lanczos_traits</span></code>
maps type T to an appropriate approximation.
</p>
@@ -452,11 +452,11 @@
</p>
<p>
The function <code class="computeroutput"><span class="identifier">tgamma1pm1</span></code>
- is implemented using rational approximations <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ is implemented using rational approximations <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> in the region <code class="computeroutput"><span class="special">-</span><span class="number">0.5</span> <span class="special"><</span> <span class="identifier">dz</span> <span class="special"><</span> <span class="number">2</span></code>. These are the same approximations (and
- internal routines) that are used for lgamma,
+ internal routines) that are used for <a class="link" href="lgamma.html" title="Log Gamma">lgamma</a>,
and so aren't detailed further here. The result of the approximation is
- <code class="computeroutput"><span class="identifier">log</span><span class="special">(</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">dz</span><span class="special">+</span><span class="number">1</span><span class="special">))</span></code> which can fed into expm1
+ <code class="computeroutput"><span class="identifier">log</span><span class="special">(</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">dz</span><span class="special">+</span><span class="number">1</span><span class="special">))</span></code> which can fed into <a class="link" href="../powers/expm1.html" title="expm1">expm1</a>
to give the desired result. Outside the range <code class="computeroutput"><span class="special">-</span><span class="number">0.5</span> <span class="special"><</span> <span class="identifier">dz</span> <span class="special"><</span> <span class="number">2</span></code> then the naive formula <code class="computeroutput"><span class="identifier">tgamma1pm1</span><span class="special">(</span><span class="identifier">dz</span><span class="special">)</span>
<span class="special">=</span> <span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">dz</span><span class="special">+</span><span class="number">1</span><span class="special">)-</span><span class="number">1</span></code>
can be used directly.
@@ -465,7 +465,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Polynomials</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="sf_erf/error_inv.html" title="Error Function Inverses">
<link rel="next" href="sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.sf_poly"></a> Polynomials
+<a name="math_toolkit.special.sf_poly"></a><a class="link" href="sf_poly.html" title="Polynomials"> Polynomials</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="sf_poly/legendre.html"> Legendre (and
@@ -38,7 +38,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Hermite Polynomials</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_poly.html" title="Polynomials">
<link rel="prev" href="laguerre.html" title="Laguerre (and Associated) Polynomials">
<link rel="next" href="sph_harm.html" title="Spherical Harmonics">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_poly.hermite"></a> Hermite Polynomials
+<a name="math_toolkit.special.sf_poly.hermite"></a><a class="link" href="hermite.html" title="Hermite Polynomials"> Hermite Polynomials</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_poly.hermite.synopsis"></a><h5>
-<a name="id697773"></a>
- Synopsis
+<a name="id725278"></a>
+ <a class="link" href="hermite.html#math_toolkit.special.sf_poly.hermite.synopsis">Synopsis</a>
</h5>
<p>
@@ -40,31 +40,31 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">hermite_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Hn</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Hnm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hermite_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Hn</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Hnm1</span><span class="special">);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_poly.hermite.description"></a><h5>
-<a name="id698280"></a>
- Description
+<a name="id725785"></a>
+ <a class="link" href="hermite.html#math_toolkit.special.sf_poly.hermite.description">Description</a>
</h5>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: note than when there is a single
template argument the result is the same type as that argument or <code class="computeroutput"><span class="keyword">double</span></code> if the template argument is an integer
type.
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the value of the Hermite Polynomial of order <span class="emphasis"><em>n</em></span>
@@ -76,10 +76,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -91,7 +91,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/hermite.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">hermite_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Hn</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Hnm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hermite_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Hn</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Hnm1</span><span class="special">);</span>
</pre>
<p>
Implements the three term recurrence relation for the Hermite polynomials,
@@ -136,17 +136,17 @@
</dl>
</div>
<a name="math_toolkit.special.sf_poly.hermite.accuracy"></a><h5>
-<a name="id699292"></a>
- Accuracy
+<a name="id726797"></a>
+ <a class="link" href="hermite.html#math_toolkit.special.sf_poly.hermite.accuracy">Accuracy</a>
</h5>
<p>
The following table shows peak errors (in units of epsilon) for various
domains of input arguments. Note that only results for the widest floating
- point type on the system are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ point type on the system are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<div class="table">
-<a name="id699323"></a><p class="title"><b>Table 34. Peak Errors In the Hermite Polynomial</b></p>
+<a name="id726828"></a><p class="title"><b>Table 34. Peak Errors In the Hermite Polynomial</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Hermite Polynomial">
<colgroup>
<col>
@@ -253,8 +253,8 @@
is very close to a root.
</p>
<a name="math_toolkit.special.sf_poly.hermite.testing"></a><h5>
-<a name="id699499"></a>
- Testing
+<a name="id727004"></a>
+ <a class="link" href="hermite.html#math_toolkit.special.sf_poly.hermite.testing">Testing</a>
</h5>
<p>
A mixture of spot tests of values calculated using functions.wolfram.com,
@@ -263,8 +263,8 @@
precision.
</p>
<a name="math_toolkit.special.sf_poly.hermite.implementation"></a><h5>
-<a name="id699538"></a>
- Implementation
+<a name="id727043"></a>
+ <a class="link" href="hermite.html#math_toolkit.special.sf_poly.hermite.implementation">Implementation</a>
</h5>
<p>
These functions are implemented using the stable three term recurrence
@@ -275,7 +275,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Laguerre (and Associated) Polynomials</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_poly.html" title="Polynomials">
<link rel="prev" href="legendre.html" title="Legendre (and Associated) Polynomials">
<link rel="next" href="hermite.html" title="Hermite Polynomials">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_poly.laguerre"></a><a href="laguerre.html" title="Laguerre (and Associated) Polynomials"> Laguerre (and
+<a name="math_toolkit.special.sf_poly.laguerre"></a><a class="link" href="laguerre.html" title="Laguerre (and Associated) Polynomials"> Laguerre (and
Associated) Polynomials</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_poly.laguerre.synopsis"></a><h5>
-<a name="id694352"></a>
- Synopsis
+<a name="id721857"></a>
+ <a class="link" href="laguerre.html#math_toolkit.special.sf_poly.laguerre.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,32 +41,32 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_poly.laguerre.description"></a><h5>
-<a name="id695270"></a>
- Description
+<a name="id722774"></a>
+ <a class="link" href="laguerre.html#math_toolkit.special.sf_poly.laguerre.description">Description</a>
</h5>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: note than when there is a single
template argument the result is the same type as that argument or <code class="computeroutput"><span class="keyword">double</span></code> if the template argument is an integer
type.
@@ -74,18 +74,18 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the value of the Laguerre Polynomial of order <span class="emphasis"><em>n</em></span>
@@ -102,10 +102,10 @@
<span class="inlinemediaobject"><img src="../../../../graphs/laguerre.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the Associated Laguerre polynomial of degree <span class="emphasis"><em>n</em></span>
@@ -115,7 +115,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/laguerre_1.png"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
</pre>
<p>
Implements the three term recurrence relation for the Laguerre polynomials,
@@ -160,7 +160,7 @@
</dl>
</div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">laguerre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Ln</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Lnm1</span><span class="special">);</span>
</pre>
<p>
Implements the three term recurrence relation for the Associated Laguerre
@@ -210,17 +210,17 @@
</dl>
</div>
<a name="math_toolkit.special.sf_poly.laguerre.accuracy"></a><h5>
-<a name="id697307"></a>
- Accuracy
+<a name="id724813"></a>
+ <a class="link" href="laguerre.html#math_toolkit.special.sf_poly.laguerre.accuracy">Accuracy</a>
</h5>
<p>
The following table shows peak errors (in units of epsilon) for various
domains of input arguments. Note that only results for the widest floating
- point type on the system are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ point type on the system are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<div class="table">
-<a name="id697338"></a><p class="title"><b>Table 32. Peak Errors In the Laguerre Polynomial</b></p>
+<a name="id724844"></a><p class="title"><b>Table 32. Peak Errors In the Laguerre Polynomial</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Laguerre Polynomial">
<colgroup>
<col>
@@ -320,7 +320,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id697504"></a><p class="title"><b>Table 33. Peak Errors In the Associated Laguerre
+<a name="id725008"></a><p class="title"><b>Table 33. Peak Errors In the Associated Laguerre
Polynomial</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Associated Laguerre
Polynomial">
@@ -429,8 +429,8 @@
is very close to a root.
</p>
<a name="math_toolkit.special.sf_poly.laguerre.testing"></a><h5>
-<a name="id697681"></a>
- Testing
+<a name="id725186"></a>
+ <a class="link" href="laguerre.html#math_toolkit.special.sf_poly.laguerre.testing">Testing</a>
</h5>
<p>
A mixture of spot tests of values calculated using functions.wolfram.com,
@@ -439,8 +439,8 @@
precision.
</p>
<a name="math_toolkit.special.sf_poly.laguerre.implementation"></a><h5>
-<a name="id697719"></a>
- Implementation
+<a name="id725224"></a>
+ <a class="link" href="laguerre.html#math_toolkit.special.sf_poly.laguerre.implementation">Implementation</a>
</h5>
<p>
These functions are implemented using the stable three term recurrence
@@ -451,7 +451,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Legendre (and Associated) Polynomials</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_poly.html" title="Polynomials">
<link rel="prev" href="../sf_poly.html" title="Polynomials">
<link rel="next" href="laguerre.html" title="Laguerre (and Associated) Polynomials">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_poly.legendre"></a><a href="legendre.html" title="Legendre (and Associated) Polynomials"> Legendre (and
+<a name="math_toolkit.special.sf_poly.legendre"></a><a class="link" href="legendre.html" title="Legendre (and Associated) Polynomials"> Legendre (and
Associated) Polynomials</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_poly.legendre.synopsis"></a><h5>
-<a name="id690022"></a>
- Synopsis
+<a name="id717527"></a>
+ <a class="link" href="legendre.html#math_toolkit.special.sf_poly.legendre.synopsis">Synopsis</a>
</h5>
<p>
@@ -41,34 +41,34 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: note than when there is a single
template argument the result is the same type as that argument or <code class="computeroutput"><span class="keyword">double</span></code> if the template argument is an integer
type.
@@ -76,22 +76,22 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.sf_poly.legendre.description"></a><h5>
-<a name="id691199"></a>
- Description
+<a name="id718703"></a>
+ <a class="link" href="legendre.html#math_toolkit.special.sf_poly.legendre.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the Legendre Polynomial of the first kind:
@@ -100,7 +100,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/legendre_0.png"></span>
</p>
<p>
- Requires -1 <= x <= 1, otherwise returns the result of domain_error.
+ Requires -1 <= x <= 1, otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
Negative orders are handled via the reflection formula:
@@ -116,10 +116,10 @@
<span class="inlinemediaobject"><img src="../../../../graphs/legendre_p.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_p</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the associated Legendre polynomial of the first kind:
@@ -128,7 +128,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/legendre_1.png"></span>
</p>
<p>
- Requires -1 <= x <= 1, otherwise returns the result of domain_error.
+ Requires -1 <= x <= 1, otherwise returns the result of <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<p>
Negative values of <span class="emphasis"><em>l</em></span> and <span class="emphasis"><em>m</em></span> are
@@ -171,10 +171,10 @@
</td></tr>
</table></div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_q</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the value of the Legendre polynomial that is the second solution
@@ -184,7 +184,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/legendre_2.png"></span>
</p>
<p>
- Requires -1 <= x <= 1, otherwise domain_error
+ Requires -1 <= x <= 1, otherwise <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
is called.
</p>
<p>
@@ -195,7 +195,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/legendre_q.png" align="middle"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
</pre>
<p>
Implements the three term recurrence relation for the Legendre polynomials,
@@ -242,7 +242,7 @@
</dl>
</div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></span>
-calculated-result-type <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">legendre_next</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">Pl</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">Plm1</span><span class="special">);</span>
</pre>
<p>
Implements the three term recurrence relation for the Associated Legendre
@@ -292,17 +292,17 @@
</dl>
</div>
<a name="math_toolkit.special.sf_poly.legendre.accuracy"></a><h5>
-<a name="id693646"></a>
- Accuracy
+<a name="id721151"></a>
+ <a class="link" href="legendre.html#math_toolkit.special.sf_poly.legendre.accuracy">Accuracy</a>
</h5>
<p>
The following table shows peak errors (in units of epsilon) for various
domains of input arguments. Note that only results for the widest floating
- point type on the system are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ point type on the system are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>.
</p>
<div class="table">
-<a name="id693677"></a><p class="title"><b>Table 29. Peak Errors In the Legendre P Function</b></p>
+<a name="id721182"></a><p class="title"><b>Table 29. Peak Errors In the Legendre P Function</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Legendre P Function">
<colgroup>
<col>
@@ -431,7 +431,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id693875"></a><p class="title"><b>Table 30. Peak Errors In the Associated Legendre
+<a name="id721380"></a><p class="title"><b>Table 30. Peak Errors In the Associated Legendre
P Function</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Associated Legendre
P Function">
@@ -533,7 +533,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
-<a name="id694033"></a><p class="title"><b>Table 31. Peak Errors In the Legendre Q Function</b></p>
+<a name="id721538"></a><p class="title"><b>Table 31. Peak Errors In the Legendre Q Function</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Legendre Q Function">
<colgroup>
<col>
@@ -675,8 +675,8 @@
given here.
</p>
<a name="math_toolkit.special.sf_poly.legendre.testing"></a><h5>
-<a name="id694259"></a>
- Testing
+<a name="id721764"></a>
+ <a class="link" href="legendre.html#math_toolkit.special.sf_poly.legendre.testing">Testing</a>
</h5>
<p>
A mixture of spot tests of values calculated using functions.wolfram.com,
@@ -685,8 +685,8 @@
precision.
</p>
<a name="math_toolkit.special.sf_poly.legendre.implementation"></a><h5>
-<a name="id694298"></a>
- Implementation
+<a name="id721803"></a>
+ <a class="link" href="legendre.html#math_toolkit.special.sf_poly.legendre.implementation">Implementation</a>
</h5>
<p>
These functions are implemented using the stable three term recurrence
@@ -697,7 +697,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Spherical Harmonics</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sf_poly.html" title="Polynomials">
<link rel="prev" href="hermite.html" title="Hermite Polynomials">
<link rel="next" href="../bessel.html" title="Bessel Functions">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sf_poly.sph_harm"></a> Spherical Harmonics
+<a name="math_toolkit.special.sf_poly.sph_harm"></a><a class="link" href="sph_harm.html" title="Spherical Harmonics"> Spherical Harmonics</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_poly.sph_harm.synopsis"></a><h5>
-<a name="id699592"></a>
- Synopsis
+<a name="id727097"></a>
+ <a class="link" href="sph_harm.html#math_toolkit.special.sf_poly.sph_harm.synopsis">Synopsis</a>
</h5>
<p>
@@ -40,48 +40,48 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span>calculated-result-type<span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a><span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span>calculated-result-type<span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a><span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_poly.sph_harm.description"></a><h5>
-<a name="id700717"></a>
- Description
+<a name="id728222"></a>
+ <a class="link" href="sph_harm.html#math_toolkit.special.sf_poly.sph_harm.description">Description</a>
</h5>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T1 and T2 are different types.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span>calculated-result-type<span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a><span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span>calculated-result-type<span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a><span class="special">></span> <span class="identifier">spherical_harmonic</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the value of the Spherical Harmonic Y<sub>n</sub><sup>m</sup>(theta, phi):
@@ -131,10 +131,10 @@
</td></tr>
</table></div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_r</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the real part of Y<sub>n</sub><sup>m</sup>(theta, phi):
@@ -143,10 +143,10 @@
<span class="inlinemediaobject"><img src="../../../../equations/spherical_1.png"></span>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">spherical_harmonic_i</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">m</span><span class="special">,</span> <span class="identifier">T1</span> <span class="identifier">theta</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">phi</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the imaginary part of Y<sub>n</sub><sup>m</sup>(theta, phi):
@@ -155,13 +155,13 @@
<span class="inlinemediaobject"><img src="../../../../equations/spherical_2.png"></span>
</p>
<a name="math_toolkit.special.sf_poly.sph_harm.accuracy"></a><h5>
-<a name="id701990"></a>
- Accuracy
+<a name="id729495"></a>
+ <a class="link" href="sph_harm.html#math_toolkit.special.sf_poly.sph_harm.accuracy">Accuracy</a>
</h5>
<p>
The following table shows peak errors for various domains of input arguments.
Note that only results for the widest floating point type on the system
- are given as narrower types have <a href="../../backgrounders/relative_error.html#zero_error">effectively
+ are given as narrower types have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively
zero error</a>. Peak errors are the same for both the real and imaginary
parts, as the error is dominated by calculation of the associated Legendre
polynomials: especially near the roots of the associated Legendre function.
@@ -170,7 +170,7 @@
All values are in units of epsilon.
</p>
<div class="table">
-<a name="id702029"></a><p class="title"><b>Table 35. Peak Errors In the Sperical Harmonic Functions</b></p>
+<a name="id729534"></a><p class="title"><b>Table 35. Peak Errors In the Sperical Harmonic Functions</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Sperical Harmonic Functions">
<colgroup>
<col>
@@ -276,8 +276,8 @@
arbitrarily large when the function is very close to a root.
</p>
<a name="math_toolkit.special.sf_poly.sph_harm.testing"></a><h5>
-<a name="id702209"></a>
- Testing
+<a name="id729714"></a>
+ <a class="link" href="sph_harm.html#math_toolkit.special.sf_poly.sph_harm.testing">Testing</a>
</h5>
<p>
A mixture of spot tests of values calculated using functions.wolfram.com,
@@ -286,8 +286,8 @@
precision.
</p>
<a name="math_toolkit.special.sf_poly.sph_harm.implementation"></a><h5>
-<a name="id702247"></a>
- Implementation
+<a name="id734020"></a>
+ <a class="link" href="sph_harm.html#math_toolkit.special.sf_poly.sph_harm.implementation">Implementation</a>
</h5>
<p>
These functions are implemented fairly naively using the formulae given
@@ -302,7 +302,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Sinus Cardinal and Hyperbolic Sinus Cardinal Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="powers/ct_pow.html" title="Compile Time Power of a Runtime Base">
<link rel="next" href="sinc/sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.sinc"></a><a href="sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions"> Sinus Cardinal and Hyperbolic
+<a name="math_toolkit.special.sinc"></a><a class="link" href="sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions"> Sinus Cardinal and Hyperbolic
Sinus Cardinal Functions</a>
</h3></div></div></div>
<div class="toc"><dl>
@@ -37,7 +37,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions">
<link rel="prev" href="../sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions">
<link rel="next" href="sinc_pi.html" title="sinc_pi">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sinc.sinc_overview"></a><a href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview"> Sinus Cardinal
+<a name="math_toolkit.special.sinc.sinc_overview"></a><a class="link" href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview"> Sinus Cardinal
and Hyperbolic Sinus Cardinal Functions Overview</a>
</h4></div></div></div>
<p>
@@ -50,8 +50,8 @@
These two families of functions are composed of entire functions.
</p>
<p>
- These functions (sinc_pi
- and sinhc_pi)
+ These functions (<a class="link" href="sinc_pi.html" title="sinc_pi">sinc_pi</a>
+ and <a class="link" href="sinhc_pi.html" title="sinhc_pi">sinhc_pi</a>)
are needed by <a href="http://www.boost.org/libs/math/quaternion/quaternion.html" target="_top">our
implementation</a> of quaternions
and octonions.
@@ -79,7 +79,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_pi.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_pi.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_pi.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>sinc_pi</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions">
<link rel="prev" href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">
<link rel="next" href="sinhc_pi.html" title="sinhc_pi">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sinc.sinc_pi"></a>sinc_pi
+<a name="math_toolkit.special.sinc.sinc_pi"></a><a class="link" href="sinc_pi.html" title="sinc_pi">sinc_pi</a>
</h4></div></div></div>
<p>
@@ -34,19 +34,19 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">sinc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sinc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">sinc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sinc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">></span>
<span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
- Computes <a href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">the Sinus
+ Computes <a class="link" href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">the Sinus
Cardinal</a> of x:
</p>
<pre class="programlisting"><span class="identifier">sinc_pi</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">=</span> <span class="identifier">sin</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">/</span> <span class="identifier">x</span>
@@ -61,10 +61,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -72,7 +72,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinhc_pi.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinhc_pi.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinhc_pi.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>sinhc_pi</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions">
<link rel="prev" href="sinc_pi.html" title="sinc_pi">
<link rel="next" href="../inv_hyper.html" title="Inverse Hyperbolic Functions">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.sinc.sinhc_pi"></a>sinhc_pi
+<a name="math_toolkit.special.sinc.sinhc_pi"></a><a class="link" href="sinhc_pi.html" title="sinhc_pi">sinhc_pi</a>
</h4></div></div></div>
<p>
@@ -34,19 +34,19 @@
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">></span>
<span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">);</span>
-<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-<span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
- Computes http://mathworld.wolfram.com/SinhcFunction.html <a href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">the
+ Computes http://mathworld.wolfram.com/SinhcFunction.html <a class="link" href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">the
Hyperbolic Sinus Cardinal</a> of x:
</p>
<pre class="programlisting"><span class="identifier">sinhc_pi</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">=</span> <span class="identifier">sinh</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">/</span> <span class="identifier">x</span>
@@ -56,16 +56,16 @@
series are used at the origin to ensure accuracy.
</p>
<p>
- The return type of the first form is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of the first form is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a> when T is an integer type.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -76,7 +76,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Zeta Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../special.html" title="Special Functions">
<link rel="prev" href="ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form">
<link rel="next" href="zetas/zeta.html" title="Riemann Zeta Function">
@@ -24,14 +24,14 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.special.zetas"></a> Zeta Functions
+<a name="math_toolkit.special.zetas"></a><a class="link" href="zetas.html" title="Zeta Functions"> Zeta Functions</a>
</h3></div></div></div>
<div class="toc"><dl><dt><span class="section"> Riemann Zeta Function</span></dt></dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Riemann Zeta Function</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../zetas.html" title="Zeta Functions">
<link rel="prev" href="../zetas.html" title="Zeta Functions">
<link rel="next" href="../expint.html" title="Exponential Integrals">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.special.zetas.zeta"></a> Riemann Zeta Function
+<a name="math_toolkit.special.zetas.zeta"></a><a class="link" href="zeta.html" title="Riemann Zeta Function"> Riemann Zeta Function</a>
</h4></div></div></div>
<a name="math_toolkit.special.zetas.zeta.synopsis"></a><h5>
-<a name="id723879"></a>
- Synopsis
+<a name="id751385"></a>
+ <a class="link" href="zeta.html#math_toolkit.special.zetas.zeta.synopsis">Synopsis</a>
</h5>
<p>
@@ -40,36 +40,36 @@
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<p>
- The return type of these functions is computed using the <a href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+ The return type of these functions is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> if T is an integer type, and T otherwise.
</p>
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
<a name="math_toolkit.special.zetas.zeta.description"></a><h5>
-<a name="id724254"></a>
- Description
+<a name="id751760"></a>
+ <a class="link" href="zeta.html#math_toolkit.special.zetas.zeta.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
-calculated-result-type <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
-calculated-result-type <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> Policy<span class="special">&);</span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
+<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">zeta</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
Returns the <a href="http://mathworld.wolfram.com/RiemannZetaFunction.html" target="_top">zeta
@@ -85,8 +85,8 @@
<span class="inlinemediaobject"><img src="../../../../graphs/zeta2.png" align="middle"></span>
</p>
<a name="math_toolkit.special.zetas.zeta.accuracy"></a><h5>
-<a name="id724565"></a>
- Accuracy
+<a name="id752071"></a>
+ <a class="link" href="zeta.html#math_toolkit.special.zetas.zeta.accuracy">Accuracy</a>
</h5>
<p>
The following table shows the peak errors (in units of epsilon) found on
@@ -94,10 +94,10 @@
to the GSL-1.9 and
<a href="http://www.netlib.org/cephes/" target="_top">Cephes</a> libraries. Unless
otherwise specified any floating point type that is narrower than the one
- shown will have effectively zero error.
+ shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
-<a name="id724612"></a><p class="title"><b>Table 44. Errors In the Function zeta(z)</b></p>
+<a name="id752118"></a><p class="title"><b>Table 44. Errors In the Function zeta(z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function zeta(z)">
<colgroup>
<col>
@@ -234,8 +234,8 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.zetas.zeta.testing"></a><h5>
-<a name="id724839"></a>
- Testing
+<a name="id752346"></a>
+ <a class="link" href="zeta.html#math_toolkit.special.zetas.zeta.testing">Testing</a>
</h5>
<p>
The tests for these functions come in two parts: basic sanity checks use
@@ -249,8 +249,8 @@
check.
</p>
<a name="math_toolkit.special.zetas.zeta.implementation"></a><h5>
-<a name="id724892"></a>
- Implementation
+<a name="id752398"></a>
+ <a class="link" href="zeta.html#math_toolkit.special.zetas.zeta.implementation">Implementation</a>
</h5>
<p>
All versions of these functions first use the usual reflection formulas
@@ -281,7 +281,7 @@
<p>
When the significand (mantissa) size is recognised (currently for 53, 64
and 113-bit reals, plus single-precision 24-bit handled via promotion to
- double) then a series of rational approximations <a href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
+ double) then a series of rational approximations <a class="link" href="../../backgrounders/implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">devised
by JM</a> are used.
</p>
<p>
@@ -318,7 +318,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Library Status</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="backgrounders/refs.html" title="References">
<link rel="next" href="status/history1.html" title="History and What's New">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.status"></a> Library Status
+<a name="math_toolkit.status"></a><a class="link" href="status.html" title="Library Status"> Library Status</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> History and What's New</span></dt>
@@ -36,7 +36,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/compilers.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/compilers.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/compilers.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Compilers</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../status.html" title="Library Status">
<link rel="prev" href="history1.html" title="History and What's New">
<link rel="next" href="issues.html" title="Known Issues, and Todo List">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.status.compilers"></a> Compilers
+<a name="math_toolkit.status.compilers"></a><a class="link" href="compilers.html" title="Compilers"> Compilers</a>
</h3></div></div></div>
<p>
</p>
@@ -37,7 +37,7 @@
<p>
</p>
<div class="table">
-<a name="id866784"></a><p class="title"><b>Table 55. Supported/Tested Compilers</b></p>
+<a name="id894378"></a><p class="title"><b>Table 55. Supported/Tested Compilers</b></p>
<div class="table-contents"><table class="table" summary="Supported/Tested Compilers">
<colgroup>
<col>
@@ -540,7 +540,7 @@
</div>
<p><br class="table-break"> </p>
<div class="table">
-<a name="id867577"></a><p class="title"><b>Table 56. Unsupported Compilers</b></p>
+<a name="id895166"></a><p class="title"><b>Table 56. Unsupported Compilers</b></p>
<div class="table-contents"><table class="table" summary="Unsupported Compilers">
<colgroup>
<col>
@@ -615,7 +615,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/credits.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/credits.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/credits.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Credits and Acknowledgements</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../status.html" title="Library Status">
<link rel="prev" href="issues.html" title="Known Issues, and Todo List">
</head>
@@ -23,7 +23,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.status.credits"></a> Credits and Acknowledgements
+<a name="math_toolkit.status.credits"></a><a class="link" href="credits.html" title="Credits and Acknowledgements"> Credits and Acknowledgements</a>
</h3></div></div></div>
<p>
Hubert Holin started the Boost.Math library. The inverse hyperbolic functions,
@@ -52,6 +52,9 @@
code.
</p>
<p>
+ Johan Råde wrote the optimised floating point classification code.
+ </p>
+<p>
Professor Nico Temme for advice on the inverse incomplete beta function.
</p>
<p>
@@ -84,7 +87,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>History and What's New</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../status.html" title="Library Status">
<link rel="prev" href="../status.html" title="Library Status">
<link rel="next" href="compilers.html" title="Compilers">
@@ -24,14 +24,31 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.status.history1"></a> History and What's New
+<a name="math_toolkit.status.history1"></a><a class="link" href="history1.html" title="History and What's New"> History and What's New</a>
</h3></div></div></div>
<p>
+ <a name="math_toolkit.status.history1.boost_1_38_0"></a>
+ </p>
+<h5>
+<a name="id893847"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.boost_1_38_0">Boost-1.38.0</a>
+ </h5>
+<p>
+ </p>
+<div class="itemizedlist"><ul type="disc">
+<li>
+ Added Johan Råde's optimised floating point classification routines.
+ </li>
+<li>
+ Fixed code so that it compiles in GCC's -pedantic mode (bug report #1451).
+ </li>
+</ul></div>
+<p>
<a name="math_toolkit.status.history1.boost_1_37_0"></a>
</p>
<h5>
-<a name="id866300"></a>
- Boost-1.37.0
+<a name="id893894"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.boost_1_37_0">Boost-1.37.0</a>
</h5>
<p>
</p>
@@ -42,8 +59,8 @@
<a name="math_toolkit.status.history1.boost_1_36_0"></a>
</p>
<h5>
-<a name="id866333"></a>
- Boost-1.36.0
+<a name="id893927"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.boost_1_36_0">Boost-1.36.0</a>
</h5>
<p>
</p>
@@ -80,8 +97,8 @@
<a name="math_toolkit.status.history1.boost_1_35_0__post_review_first_official_release"></a>
</p>
<h5>
-<a name="id866406"></a>
- <a href="history1.html#math_toolkit.status.history1.boost_1_35_0__post_review_first_official_release">Boost-1.35.0:
+<a name="id894000"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.boost_1_35_0__post_review_first_official_release">Boost-1.35.0:
Post Review First Official Release</a>
</h5>
<p>
@@ -94,7 +111,7 @@
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed default behaviour
for domain, pole and overflow errors to throw an exception (based on
- review feedback), this behaviour can be customised using Policy's.
+ review feedback), this behaviour can be customised using <a class="link" href="../policy.html" title="Policies">Policy</a>'s.
</li>
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed exception thrown
@@ -103,7 +120,7 @@
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed discrete quantiles
to return an integer result: this is anything up to 20 times faster than
- finding the true root, this behaviour can be customised using Policy's.
+ finding the true root, this behaviour can be customised using <a class="link" href="../policy.html" title="Policies">Policy</a>'s.
</li>
<li>
Polynomial/rational function evaluation is now customisable and hopefully
@@ -117,8 +134,8 @@
<a name="math_toolkit.status.history1.milestone_4__second_review_candidate__1st_march_2007_"></a>
</p>
<h5>
-<a name="id866508"></a>
- <a href="history1.html#math_toolkit.status.history1.milestone_4__second_review_candidate__1st_march_2007_">Milestone
+<a name="id894102"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.milestone_4__second_review_candidate__1st_march_2007_">Milestone
4: Second Review Candidate (1st March 2007)</a>
</h5>
<p>
@@ -136,8 +153,8 @@
<a name="math_toolkit.status.history1.milestone_3__first_review_candidate__31st_dec_2006_"></a>
</p>
<h5>
-<a name="id866550"></a>
- <a href="history1.html#math_toolkit.status.history1.milestone_3__first_review_candidate__31st_dec_2006_">Milestone
+<a name="id894144"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.milestone_3__first_review_candidate__31st_dec_2006_">Milestone
3: First Review Candidate (31st Dec 2006)</a>
</h5>
<p>
@@ -169,8 +186,8 @@
<a name="math_toolkit.status.history1.milestone_2__released_september_10th_2006"></a>
</p>
<h5>
-<a name="id866615"></a>
- <a href="history1.html#math_toolkit.status.history1.milestone_2__released_september_10th_2006">Milestone
+<a name="id894209"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.milestone_2__released_september_10th_2006">Milestone
2: Released September 10th 2006</a>
</h5>
<p>
@@ -210,8 +227,8 @@
<a name="math_toolkit.status.history1.milestone_1__released_march_31st_2006"></a>
</p>
<h5>
-<a name="id866692"></a>
- <a href="history1.html#math_toolkit.status.history1.milestone_1__released_march_31st_2006">Milestone
+<a name="id894286"></a>
+ <a class="link" href="history1.html#math_toolkit.status.history1.milestone_1__released_march_31st_2006">Milestone
1: Released March 31st 2006</a>
</h5>
<p>
@@ -253,7 +270,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Known Issues, and Todo List</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../status.html" title="Library Status">
<link rel="prev" href="compilers.html" title="Compilers">
<link rel="next" href="credits.html" title="Credits and Acknowledgements">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.status.issues"></a> Known Issues, and Todo List
+<a name="math_toolkit.status.issues"></a><a class="link" href="issues.html" title="Known Issues, and Todo List"> Known Issues, and Todo List</a>
</h3></div></div></div>
<p>
This section lists those issues that are known about.
@@ -43,32 +43,32 @@
with it.
</p>
<a name="math_toolkit.status.issues.tgamma"></a><h5>
-<a name="id867761"></a>
- tgamma
+<a name="id895350"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.tgamma">tgamma</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
- Can the Lanczos approximation
+ Can the <a class="link" href="../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos approximation</a>
be optimized any further? (low priority)
</li></ul></div>
<a name="math_toolkit.status.issues.incomplete_beta"></a><h5>
-<a name="id867803"></a>
- Incomplete Beta
+<a name="id895392"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.incomplete_beta">Incomplete Beta</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
Investigate Didonato and Morris' asymptotic expansion for large a and b
(medium priority).
</li></ul></div>
<a name="math_toolkit.status.issues.inverse_gamma"></a><h5>
-<a name="id867836"></a>
- Inverse Gamma
+<a name="id895425"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.inverse_gamma">Inverse Gamma</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
Investigate whether we can skip iteration altogether if the first approximation
is good enough (Medium Priority).
</li></ul></div>
<a name="math_toolkit.status.issues.polynomials"></a><h5>
-<a name="id867869"></a>
- Polynomials
+<a name="id895457"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.polynomials">Polynomials</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
The Legendre and Laguerre Polynomials have surprisingly different error
@@ -77,8 +77,8 @@
not (Low Priority).
</li></ul></div>
<a name="math_toolkit.status.issues.elliptic_integrals"></a><h5>
-<a name="id867905"></a>
- Elliptic Integrals
+<a name="id895494"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.elliptic_integrals">Elliptic Integrals</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
@@ -119,7 +119,7 @@
Priority).
</li>
<li>
- There is a sub-domain of ellint_3
+ There is a sub-domain of <a class="link" href="../special/ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form">ellint_3</a>
that is unimplemented (see the docs for details), currently it's not clear
how to solve this issue, or if it's ever likely to be an real problem in
practice - especially as most other implementations don't support this
@@ -127,18 +127,18 @@
</li>
</ul></div>
<a name="math_toolkit.status.issues.inverse_hyperbolic_functions"></a><h5>
-<a name="id868063"></a>
- <a href="issues.html#math_toolkit.status.issues.inverse_hyperbolic_functions">Inverse
+<a name="id895652"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.inverse_hyperbolic_functions">Inverse
Hyperbolic Functions</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
- These functions are inherited from previous Boost versions, before log1p became widely
+ These functions are inherited from previous Boost versions, before <a class="link" href="../special/powers/log1p.html" title="log1p">log1p</a> became widely
available. Would they be better expressed in terms of this function? This
is probably only an issue for very high precision types (Low Priority).
</li></ul></div>
<a name="math_toolkit.status.issues.statistical_distributions"></a><h5>
-<a name="id868109"></a>
- <a href="issues.html#math_toolkit.status.issues.statistical_distributions">Statistical
+<a name="id895697"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.statistical_distributions">Statistical
distributions</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
@@ -146,8 +146,8 @@
for very large degrees of freedom?
</li></ul></div>
<a name="math_toolkit.status.issues.feature_requests"></a><h5>
-<a name="id868143"></a>
- Feature Requests
+<a name="id895732"></a>
+ <a class="link" href="issues.html#math_toolkit.status.issues.feature_requests">Feature Requests</a>
</h5>
<p>
The following table lists distributions that are found in other packages
@@ -1335,7 +1335,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Internal Details and Tools (Experimental)</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="special/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">
<link rel="next" href="toolkit/internals_overview.html" title="Overview">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.toolkit"></a> Internal Details and Tools (Experimental)
+<a name="math_toolkit.toolkit"></a><a class="link" href="toolkit.html" title="Internal Details and Tools (Experimental)"> Internal Details and Tools (Experimental)</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> Overview</span></dt>
@@ -60,7 +60,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Reused Utilities</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../toolkit.html" title="Internal Details and Tools (Experimental)">
<link rel="prev" href="internals_overview.html" title="Overview">
<link rel="next" href="internals1/constants.html" title="Numeric Constants">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.toolkit.internals1"></a> Reused Utilities
+<a name="math_toolkit.toolkit.internals1"></a><a class="link" href="internals1.html" title="Reused Utilities"> Reused Utilities</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="internals1/constants.html"> Numeric
@@ -46,7 +46,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Continued Fraction Evaluation</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals1.html" title="Reused Utilities">
<link rel="prev" href="series_evaluation.html" title="Series Evaluation">
<link rel="next" href="rational.html" title="Polynomial and Rational Function Evaluation">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals1.cf"></a><a href="cf.html" title="Continued Fraction Evaluation"> Continued Fraction
+<a name="math_toolkit.toolkit.internals1.cf"></a><a class="link" href="cf.html" title="Continued Fraction Evaluation"> Continued Fraction
Evaluation</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals1.cf.synopsis"></a><h5>
-<a name="id775234"></a>
- Synopsis
+<a name="id802738"></a>
+ <a class="link" href="cf.html#math_toolkit.toolkit.internals1.cf.synopsis">Synopsis</a>
</h5>
<p>
@@ -59,8 +59,8 @@
<span class="special">}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.toolkit.internals1.cf.description"></a><h5>
-<a name="id775955"></a>
- Description
+<a name="id803458"></a>
+ <a class="link" href="cf.html#math_toolkit.toolkit.internals1.cf.description">Description</a>
</h5>
<p>
<a href="http://en.wikipedia.org/wiki/Continued_fraction" target="_top">Continued
@@ -157,8 +157,8 @@
a continued fraction for convergence.
</p>
<a name="math_toolkit.toolkit.internals1.cf.implementation"></a><h5>
-<a name="id776231"></a>
- Implementation
+<a name="id803734"></a>
+ <a class="link" href="cf.html#math_toolkit.toolkit.internals1.cf.implementation">Implementation</a>
</h5>
<p>
Internally these algorithms all use the modified Lentz algorithm: refer
@@ -167,8 +167,8 @@
Lentz, W.J. 1976, Applied Optics, vol. 15, pp. 668-671.
</p>
<a name="math_toolkit.toolkit.internals1.cf.examples"></a><h5>
-<a name="id776265"></a>
- Examples
+<a name="id803768"></a>
+ <a class="link" href="cf.html#math_toolkit.toolkit.internals1.cf.examples">Examples</a>
</h5>
<p>
The <a href="http://en.wikipedia.org/wiki/Golden_ratio" target="_top">golden ratio
@@ -251,7 +251,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Numeric Constants</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals1.html" title="Reused Utilities">
<link rel="prev" href="../internals1.html" title="Reused Utilities">
<link rel="next" href="series_evaluation.html" title="Series Evaluation">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals1.constants"></a><a href="constants.html" title="Numeric Constants"> Numeric
+<a name="math_toolkit.toolkit.internals1.constants"></a><a class="link" href="constants.html" title="Numeric Constants"> Numeric
Constants</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals1.constants.synopsis"></a><h5>
-<a name="id771787"></a>
- Synopsis
+<a name="id799291"></a>
+ <a class="link" href="constants.html#math_toolkit.toolkit.internals1.constants.synopsis">Synopsis</a>
</h5>
<p>
@@ -59,8 +59,8 @@
<span class="special">}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.toolkit.internals1.constants.description"></a><h5>
-<a name="id772650"></a>
- Description
+<a name="id800154"></a>
+ <a class="link" href="constants.html#math_toolkit.toolkit.internals1.constants.description">Description</a>
</h5>
<p>
The header <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span></code> contains some numeric constants that
@@ -369,7 +369,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Locating Function Minima</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals1.html" title="Reused Utilities">
<link rel="prev" href="roots2.html" title="Root Finding Without Derivatives">
<link rel="next" href="../internals2.html" title="Testing and Development">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals1.minima"></a><a href="minima.html" title="Locating Function Minima"> Locating Function
+<a name="math_toolkit.toolkit.internals1.minima"></a><a class="link" href="minima.html" title="Locating Function Minima"> Locating Function
Minima</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals1.minima.synopsis"></a><h5>
-<a name="id792941"></a>
- synopsis
+<a name="id820437"></a>
+ <a class="link" href="minima.html#math_toolkit.toolkit.internals1.minima.synopsis">synopsis</a>
</h5>
<p>
@@ -45,8 +45,8 @@
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span> <span class="identifier">brent_find_minima</span><span class="special">(</span><span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">min</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">max</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">bits</span><span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">);</span>
</pre>
<a name="math_toolkit.toolkit.internals1.minima.description"></a><h5>
-<a name="id793411"></a>
- Description
+<a name="id820906"></a>
+ <a class="link" href="minima.html#math_toolkit.toolkit.internals1.minima.description">Description</a>
</h5>
<p>
These two functions locate the minima of the continuous function <span class="emphasis"><em>f</em></span>
@@ -88,8 +88,8 @@
the abscissa at the minima and the value of f(x) at the minima.
</p>
<a name="math_toolkit.toolkit.internals1.minima.implementation"></a><h5>
-<a name="id793550"></a>
- Implementation
+<a name="id821046"></a>
+ <a class="link" href="minima.html#math_toolkit.toolkit.internals1.minima.implementation">Implementation</a>
</h5>
<p>
This is a reasonably faithful implementation of Brent's algorithm, refer
@@ -112,7 +112,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Polynomial and Rational Function Evaluation</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals1.html" title="Reused Utilities">
<link rel="prev" href="cf.html" title="Continued Fraction Evaluation">
<link rel="next" href="roots.html" title="Root Finding With Derivatives">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals1.rational"></a><a href="rational.html" title="Polynomial and Rational Function Evaluation"> Polynomial
+<a name="math_toolkit.toolkit.internals1.rational"></a><a class="link" href="rational.html" title="Polynomial and Rational Function Evaluation"> Polynomial
and Rational Function Evaluation</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals1.rational.synopsis"></a><h5>
-<a name="id777248"></a>
- synopsis
+<a name="id804751"></a>
+ <a class="link" href="rational.html#math_toolkit.toolkit.internals1.rational.synopsis">synopsis</a>
</h5>
<p>
@@ -79,8 +79,8 @@
<span class="identifier">V</span> <span class="identifier">evaluate_rational</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">*</span> <span class="identifier">num</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">U</span><span class="special">*</span> <span class="identifier">denom</span><span class="special">,</span> <span class="identifier">V</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">count</span><span class="special">);</span>
</pre>
<a name="math_toolkit.toolkit.internals1.rational.description"></a><h5>
-<a name="id779372"></a>
- Description
+<a name="id806875"></a>
+ <a class="link" href="rational.html#math_toolkit.toolkit.internals1.rational.description">Description</a>
</h5>
<p>
Each of the functions come in three variants: a pair of overloaded functions
@@ -193,8 +193,8 @@
evaluation with compile-time array sizes may offer slightly better performance.
</p>
<a name="math_toolkit.toolkit.internals1.rational.implementation"></a><h5>
-<a name="id781836"></a>
- Implementation
+<a name="id809340"></a>
+ <a class="link" href="rational.html#math_toolkit.toolkit.internals1.rational.implementation">Implementation</a>
</h5>
<p>
Polynomials are evaluated by <a href="http://en.wikipedia.org/wiki/Horner_algorithm" target="_top">Horners
@@ -213,17 +213,17 @@
Both the polynomial and rational function evaluation algorithms can be
tuned using various configuration macros to provide optimal performance
for a particular combination of compiler and platform. This includes support
- for second-order Horner's methods. The various options are <a href="../../perf/tuning.html" title="Performance Tuning Macros">documented
+ for second-order Horner's methods. The various options are <a class="link" href="../../perf/tuning.html" title="Performance Tuning Macros">documented
here</a>. However, the performance benefits to be gained from these
are marginal on most current hardware, consequently it's best to run the
- performance test application
+ <a class="link" href="../../perf/perf_test_app.html" title="The Performance Test Application">performance test application</a>
before changing the default settings.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Root Finding With Derivatives</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals1.html" title="Reused Utilities">
<link rel="prev" href="rational.html" title="Polynomial and Rational Function Evaluation">
<link rel="next" href="roots2.html" title="Root Finding Without Derivatives">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals1.roots"></a><a href="roots.html" title="Root Finding With Derivatives"> Root Finding
+<a name="math_toolkit.toolkit.internals1.roots"></a><a class="link" href="roots.html" title="Root Finding With Derivatives"> Root Finding
With Derivatives</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals1.roots.synopsis"></a><h5>
-<a name="id781954"></a>
- Synopsis
+<a name="id809458"></a>
+ <a class="link" href="roots.html#math_toolkit.toolkit.internals1.roots.synopsis">Synopsis</a>
</h5>
<p>
@@ -61,15 +61,15 @@
<span class="special">}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.toolkit.internals1.roots.description"></a><h5>
-<a name="id783109"></a>
- Description
+<a name="id810613"></a>
+ <a class="link" href="roots.html#math_toolkit.toolkit.internals1.roots.description">Description</a>
</h5>
<p>
These functions all perform iterative root finding: <code class="computeroutput"><span class="identifier">newton_raphson_iterate</span></code>
- performs second order Newton Raphson iteration,
+ performs second order <a class="link" href="roots.html#newton">Newton Raphson iteration</a>,
while <code class="computeroutput"><span class="identifier">halley_iterate</span></code> and
<code class="computeroutput"><span class="identifier">schroeder_iterate</span></code> perform
- third order Halley and Schroeder
+ third order <a class="link" href="roots.html#halley">Halley</a> and <a class="link" href="roots.html#schroeder">Schroeder</a>
iteration respectively.
</p>
<p>
@@ -176,8 +176,8 @@
<a name="newton"></a><p>
</p>
<a name="math_toolkit.toolkit.internals1.roots.newton_raphson_method"></a><h5>
-<a name="id783430"></a>
- <a href="roots.html#math_toolkit.toolkit.internals1.roots.newton_raphson_method">Newton
+<a name="id810934"></a>
+ <a class="link" href="roots.html#math_toolkit.toolkit.internals1.roots.newton_raphson_method">Newton
Raphson Method</a>
</h5>
<p>
@@ -196,8 +196,8 @@
<a name="halley"></a><p>
</p>
<a name="math_toolkit.toolkit.internals1.roots.halley_s_method"></a><h5>
-<a name="id783512"></a>
- <a href="roots.html#math_toolkit.toolkit.internals1.roots.halley_s_method">Halley's
+<a name="id811015"></a>
+ <a class="link" href="roots.html#math_toolkit.toolkit.internals1.roots.halley_s_method">Halley's
Method</a>
</h5>
<p>
@@ -220,8 +220,8 @@
<a name="schroeder"></a><p>
</p>
<a name="math_toolkit.toolkit.internals1.roots.schroeder_s_method"></a><h5>
-<a name="id783598"></a>
- <a href="roots.html#math_toolkit.toolkit.internals1.roots.schroeder_s_method">Schroeder's
+<a name="id811102"></a>
+ <a class="link" href="roots.html#math_toolkit.toolkit.internals1.roots.schroeder_s_method">Schroeder's
Method</a>
</h5>
<p>
@@ -244,8 +244,8 @@
iteration.
</p>
<a name="math_toolkit.toolkit.internals1.roots.example"></a><h5>
-<a name="id783678"></a>
- Example
+<a name="id811182"></a>
+ <a class="link" href="roots.html#math_toolkit.toolkit.internals1.roots.example">Example</a>
</h5>
<p>
Lets suppose we want to find the cube root of a number, the equation we
@@ -370,7 +370,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Root Finding Without Derivatives</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals1.html" title="Reused Utilities">
<link rel="prev" href="roots.html" title="Root Finding With Derivatives">
<link rel="next" href="minima.html" title="Locating Function Minima">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals1.roots2"></a><a href="roots2.html" title="Root Finding Without Derivatives"> Root Finding
+<a name="math_toolkit.toolkit.internals1.roots2"></a><a class="link" href="roots2.html" title="Root Finding Without Derivatives"> Root Finding
Without Derivatives</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals1.roots2.synopsis"></a><h5>
-<a name="id785787"></a>
- Synopsis
+<a name="id813283"></a>
+ <a class="link" href="roots2.html#math_toolkit.toolkit.internals1.roots2.synopsis">Synopsis</a>
</h5>
<p>
@@ -57,7 +57,7 @@
<span class="identifier">T</span> <span class="identifier">max</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">bisect</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -65,7 +65,7 @@
<span class="identifier">T</span> <span class="identifier">max</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
@@ -77,7 +77,7 @@
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">bracket_and_solve_root</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -86,7 +86,7 @@
<span class="keyword">bool</span> <span class="identifier">rising</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
@@ -97,7 +97,7 @@
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">toms748_solve</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -105,7 +105,7 @@
<span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">b</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
@@ -118,7 +118,7 @@
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">toms748_solve</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -128,7 +128,7 @@
<span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">fb</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="comment">// Termination conditions:
</span><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
@@ -141,8 +141,8 @@
<span class="special">}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.toolkit.internals1.roots2.description"></a><h5>
-<a name="id788429"></a>
- Description
+<a name="id815925"></a>
+ <a class="link" href="roots2.html#math_toolkit.toolkit.internals1.roots2.description">Description</a>
</h5>
<p>
These functions solve the root of some function <span class="emphasis"><em>f(x)</em></span>
@@ -191,7 +191,7 @@
<span class="identifier">T</span> <span class="identifier">max</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">bisect</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -199,7 +199,7 @@
<span class="identifier">T</span> <span class="identifier">max</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
These functions locate the root using bisection, function arguments are:
@@ -239,10 +239,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -283,7 +283,7 @@
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">bracket_and_solve_root</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -292,7 +292,7 @@
<span class="keyword">bool</span> <span class="identifier">rising</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
This is a convenience function that calls <span class="emphasis"><em>toms748_solve</em></span>
@@ -346,10 +346,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -389,7 +389,7 @@
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">toms748_solve</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -397,7 +397,7 @@
<span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">b</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
@@ -410,7 +410,7 @@
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">);</span>
-<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> Policy<span class="special">></span>
+<span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">F</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Tol</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">toms748_solve</span><span class="special">(</span>
<span class="identifier">F</span> <span class="identifier">f</span><span class="special">,</span>
@@ -420,7 +420,7 @@
<span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">fb</span><span class="special">,</span>
<span class="identifier">Tol</span> <span class="identifier">tol</span><span class="special">,</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">&</span> <span class="identifier">max_iter</span><span class="special">,</span>
- <span class="keyword">const</span> Policy<span class="special">&);</span>
+ <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&);</span>
</pre>
<p>
These two functions implement TOMS Algorithm 748: it uses a mixture of
@@ -475,10 +475,10 @@
<p>
</p>
<p>
- The final Policy argument
+ The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument
is optional and can be used to control the behaviour of the function:
how it handles errors, what level of precision to use etc. Refer to the
- policy documentation for more details.
+ <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<p>
</p>
@@ -559,8 +559,8 @@
as soon as both ends of the interval round to the same nearest integer.
</p>
<a name="math_toolkit.toolkit.internals1.roots2.implementation"></a><h5>
-<a name="id792874"></a>
- Implementation
+<a name="id820370"></a>
+ <a class="link" href="roots2.html#math_toolkit.toolkit.internals1.roots2.implementation">Implementation</a>
</h5>
<p>
The implementation of the bisection algorithm is extremely straightforward
@@ -578,7 +578,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Series Evaluation</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals1.html" title="Reused Utilities">
<link rel="prev" href="constants.html" title="Numeric Constants">
<link rel="next" href="cf.html" title="Continued Fraction Evaluation">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals1.series_evaluation"></a><a href="series_evaluation.html" title="Series Evaluation">
+<a name="math_toolkit.toolkit.internals1.series_evaluation"></a><a class="link" href="series_evaluation.html" title="Series Evaluation">
Series Evaluation</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals1.series_evaluation.synopsis"></a><h5>
-<a name="id773378"></a>
- Synopsis
+<a name="id800881"></a>
+ <a class="link" href="series_evaluation.html#math_toolkit.toolkit.internals1.series_evaluation.synopsis">Synopsis</a>
</h5>
<p>
@@ -61,8 +61,8 @@
<span class="special">}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.toolkit.internals1.series_evaluation.description"></a><h5>
-<a name="id774327"></a>
- Description
+<a name="id801831"></a>
+ <a class="link" href="series_evaluation.html#math_toolkit.toolkit.internals1.series_evaluation.description">Description</a>
</h5>
<p>
These algorithms are intended for the <a href="http://en.wikipedia.org/wiki/Series_%28mathematics%29" target="_top">summation
@@ -117,8 +117,8 @@
summation in this way.
</p>
<a name="math_toolkit.toolkit.internals1.series_evaluation.example"></a><h5>
-<a name="id774475"></a>
- Example
+<a name="id801979"></a>
+ <a class="link" href="series_evaluation.html#math_toolkit.toolkit.internals1.series_evaluation.example">Example</a>
</h5>
<p>
Let's suppose we want to implement <span class="emphasis"><em>log(1+x)</em></span> via its
@@ -176,7 +176,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Testing and Development</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../toolkit.html" title="Internal Details and Tools (Experimental)">
<link rel="prev" href="internals1/minima.html" title="Locating Function Minima">
<link rel="next" href="internals2/polynomials.html" title="Polynomials">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.toolkit.internals2"></a> Testing and Development
+<a name="math_toolkit.toolkit.internals2"></a><a class="link" href="internals2.html" title="Testing and Development"> Testing and Development</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"> Polynomials</span></dt>
@@ -39,7 +39,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Relative Error and Testing</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals2.html" title="Testing and Development">
<link rel="prev" href="minimax.html" title="Minimax Approximations and the Remez Algorithm">
<link rel="next" href="test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions">
@@ -24,12 +24,12 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals2.error_test"></a><a href="error_test.html" title="Relative Error and Testing"> Relative
+<a name="math_toolkit.toolkit.internals2.error_test"></a><a class="link" href="error_test.html" title="Relative Error and Testing"> Relative
Error and Testing</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals2.error_test.synopsis"></a><h5>
-<a name="id797628"></a>
- Synopsis
+<a name="id825130"></a>
+ <a class="link" href="error_test.html#math_toolkit.toolkit.internals2.error_test.synopsis">Synopsis</a>
</h5>
<p>
@@ -45,8 +45,8 @@
<span class="identifier">test_result</span><span class="special"><</span><span class="identifier">see</span><span class="special">-</span><span class="identifier">below</span><span class="special">></span> <span class="identifier">test</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">A</span><span class="special">&</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">F1</span> <span class="identifier">test_func</span><span class="special">,</span> <span class="identifier">F2</span> <span class="identifier">expect_func</span><span class="special">);</span>
</pre>
<a name="math_toolkit.toolkit.internals2.error_test.description"></a><h5>
-<a name="id797979"></a>
- Description
+<a name="id825482"></a>
+ <a class="link" href="error_test.html#math_toolkit.toolkit.internals2.error_test.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span>
<span class="identifier">T</span> <span class="identifier">relative_error</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">v</span><span class="special">);</span>
@@ -165,8 +165,8 @@
is mainly a debugging/development aid (and a good place for a breakpoint).
</p>
<a name="math_toolkit.toolkit.internals2.error_test.example"></a><h5>
-<a name="id798930"></a>
- Example
+<a name="id826433"></a>
+ <a class="link" href="error_test.html#math_toolkit.toolkit.internals2.error_test.example">Example</a>
</h5>
<p>
Suppose we want to test the tgamma and lgamma functions, we can create
@@ -221,7 +221,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/minimax.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/minimax.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/minimax.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Minimax Approximations and the Remez Algorithm</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals2.html" title="Testing and Development">
<link rel="prev" href="polynomials.html" title="Polynomials">
<link rel="next" href="error_test.html" title="Relative Error and Testing">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals2.minimax"></a><a href="minimax.html" title="Minimax Approximations and the Remez Algorithm"> Minimax Approximations
+<a name="math_toolkit.toolkit.internals2.minimax"></a><a class="link" href="minimax.html" title="Minimax Approximations and the Remez Algorithm"> Minimax Approximations
and the Remez Algorithm</a>
</h4></div></div></div>
<p>
@@ -44,7 +44,7 @@
</p>
<p>
Unless you already familar with the Remez method you should first read
- the <a href="../../backgrounders/remez.html" title="The Remez Method">brief background article
+ the <a class="link" href="../../backgrounders/remez.html" title="The Remez Method">brief background article
explaining the principals behind the Remez algorithm</a>.
</p>
<p>
@@ -76,7 +76,7 @@
approximate as a new variant after the existing examples.
</p>
<p>
- In addition to those two files, the program needs to be linked to a patched NTL library to compile.
+ In addition to those two files, the program needs to be linked to a <a class="link" href="../../using_udt/use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">patched NTL library to compile</a>.
</p>
<p>
Note that the function <span class="emphasis"><em>f</em></span> must return the rational
@@ -268,7 +268,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Polynomials</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals2.html" title="Testing and Development">
<link rel="prev" href="../internals2.html" title="Testing and Development">
<link rel="next" href="minimax.html" title="Minimax Approximations and the Remez Algorithm">
@@ -24,11 +24,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals2.polynomials"></a> Polynomials
+<a name="math_toolkit.toolkit.internals2.polynomials"></a><a class="link" href="polynomials.html" title="Polynomials"> Polynomials</a>
</h4></div></div></div>
<a name="math_toolkit.toolkit.internals2.polynomials.synopsis"></a><h5>
-<a name="id793640"></a>
- Synopsis
+<a name="id821135"></a>
+ <a class="link" href="polynomials.html#math_toolkit.toolkit.internals2.polynomials.synopsis">Synopsis</a>
</h5>
<p>
@@ -103,8 +103,8 @@
<span class="special">}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.toolkit.internals2.polynomials.description"></a><h5>
-<a name="id796414"></a>
- Description
+<a name="id823909"></a>
+ <a class="link" href="polynomials.html#math_toolkit.toolkit.internals2.polynomials.description">Description</a>
</h5>
<p>
This is a fairly trivial class for polynomial manipulation.
@@ -123,7 +123,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Graphing, Profiling, and Generating Test Data for Special Functions</title>
<link rel="stylesheet" href="../../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../internals2.html" title="Testing and Development">
<link rel="prev" href="error_test.html" title="Relative Error and Testing">
<link rel="next" href="../../using_udt.html" title="Use with User-Defined Floating-Point Types">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.toolkit.internals2.test_data"></a><a href="test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"> Graphing,
+<a name="math_toolkit.toolkit.internals2.test_data"></a><a class="link" href="test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"> Graphing,
Profiling, and Generating Test Data for Special Functions</a>
</h4></div></div></div>
<p>
@@ -46,8 +46,8 @@
</li>
</ul></div>
<a name="math_toolkit.toolkit.internals2.test_data.synopsis"></a><h5>
-<a name="id800026"></a>
- Synopsis
+<a name="id827529"></a>
+ <a class="link" href="test_data.html#math_toolkit.toolkit.internals2.test_data.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">tools</span><span class="special">{</span>
@@ -147,8 +147,8 @@
<span class="special">}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.toolkit.internals2.test_data.description"></a><h5>
-<a name="id802951"></a>
- Description
+<a name="id830454"></a>
+ <a class="link" href="test_data.html#math_toolkit.toolkit.internals2.test_data.description">Description</a>
</h5>
<p>
This tool is best illustrated with the following series of examples.
@@ -177,8 +177,8 @@
</li>
</ul></div>
<a name="math_toolkit.toolkit.internals2.test_data.example_1__output_data_for_graph_plotting"></a><h6>
-<a name="id803025"></a>
- <a href="test_data.html#math_toolkit.toolkit.internals2.test_data.example_1__output_data_for_graph_plotting">Example
+<a name="id830527"></a>
+ <a class="link" href="test_data.html#math_toolkit.toolkit.internals2.test_data.example_1__output_data_for_graph_plotting">Example
1: Output Data for Graph Plotting</a>
</h6>
<p>
@@ -211,8 +211,8 @@
<span class="inlinemediaobject"><img src="../../../../graphs/lgamma.png" align="middle"></span>
</p>
<a name="math_toolkit.toolkit.internals2.test_data.example_2__creating_test_data"></a><h6>
-<a name="id803582"></a>
- <a href="test_data.html#math_toolkit.toolkit.internals2.test_data.example_2__creating_test_data">Example
+<a name="id831085"></a>
+ <a class="link" href="test_data.html#math_toolkit.toolkit.internals2.test_data.example_2__creating_test_data">Example
2: Creating Test Data</a>
</h6>
<p>
@@ -375,8 +375,8 @@
used by default as it's rather hard on the compiler when the table is large.
</p>
<a name="math_toolkit.toolkit.internals2.test_data.example_3__profiling_a_continued_fraction_for_convergence_and_accuracy"></a><h6>
-<a name="id806062"></a>
- <a href="test_data.html#math_toolkit.toolkit.internals2.test_data.example_3__profiling_a_continued_fraction_for_convergence_and_accuracy">Example
+<a name="id833572"></a>
+ <a class="link" href="test_data.html#math_toolkit.toolkit.internals2.test_data.example_3__profiling_a_continued_fraction_for_convergence_and_accuracy">Example
3: Profiling a Continued Fraction for Convergence and Accuracy</a>
</h6>
<p>
@@ -481,8 +481,8 @@
of a and z.
</p>
<a name="math_toolkit.toolkit.internals2.test_data.reference"></a><h5>
-<a name="id808301"></a>
- reference
+<a name="id835811"></a>
+ <a class="link" href="test_data.html#math_toolkit.toolkit.internals2.test_data.reference">reference</a>
</h5>
<a name="test_data_reference"></a><p>
</p>
@@ -535,7 +535,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals_overview.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals_overview.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals_overview.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Overview</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../toolkit.html" title="Internal Details and Tools (Experimental)">
<link rel="prev" href="../toolkit.html" title="Internal Details and Tools (Experimental)">
<link rel="next" href="internals1.html" title="Reused Utilities">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.toolkit.internals_overview"></a> Overview
+<a name="math_toolkit.toolkit.internals_overview"></a><a class="link" href="internals_overview.html" title="Overview"> Overview</a>
</h3></div></div></div>
<p>
This section contains internal utilities used by the library's implementation
@@ -44,7 +44,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Use with User-Defined Floating-Point Types</title>
<link rel="stylesheet" href="../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="toolkit/internals2/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions">
<link rel="next" href="using_udt/use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.using_udt"></a><a href="using_udt.html" title="Use with User-Defined Floating-Point Types"> Use with User-Defined Floating-Point
+<a name="math_toolkit.using_udt"></a><a class="link" href="using_udt.html" title="Use with User-Defined Floating-Point Types"> Use with User-Defined Floating-Point
Types</a>
</h2></div></div></div>
<div class="toc"><dl>
@@ -41,7 +41,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Conceptual Archetypes and Testing</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../using_udt.html" title="Use with User-Defined Floating-Point Types">
<link rel="prev" href="dist_concept.html" title="Conceptual Requirements for Distribution Types">
<link rel="next" href="../policy.html" title="Policies">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.using_udt.archetypes"></a><a href="archetypes.html" title="Conceptual Archetypes and Testing"> Conceptual Archetypes
+<a name="math_toolkit.using_udt.archetypes"></a><a class="link" href="archetypes.html" title="Conceptual Archetypes and Testing"> Conceptual Archetypes
and Testing</a>
</h3></div></div></div>
<p>
@@ -91,17 +91,17 @@
</span></pre>
<p>
<code class="computeroutput"><span class="identifier">real_concept</span></code> is an archetype
- for user defined real types,
+ for <a class="link" href="concepts.html" title="Conceptual Requirements for Real Number Types">user defined real types</a>,
it declares it's standard library functions in it's own namespace: these
will only be found if they are called unqualified allowing argument dependent
lookup to locate them. In addition this type is useable at runtime: this
allows code that would not otherwise be exercised by the built-in floating
point types to be tested. There is no std::numeric_limits<> support
- for this type, since this is not a conceptual requirement for RealType's.
+ for this type, since this is not a conceptual requirement for <a class="link" href="concepts.html" title="Conceptual Requirements for Real Number Types">RealType</a>'s.
</p>
<p>
NTL RR is an example of a type meeting the requirements that this type models,
- but note that use of a thin wrapper class is required: refer to <a href="use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">"Using
+ but note that use of a thin wrapper class is required: refer to <a class="link" href="use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">"Using
With NTL - a High-Precision Floating-Point Library"</a>.
</p>
<p>
@@ -130,7 +130,7 @@
</span></pre>
<p>
The class template <code class="computeroutput"><span class="identifier">distribution_archetype</span></code>
- is a model of the <a href="dist_concept.html" title="Conceptual Requirements for Distribution Types">Distribution
+ is a model of the <a class="link" href="dist_concept.html" title="Conceptual Requirements for Distribution Types">Distribution
concept</a>.
</p>
<p>
@@ -141,12 +141,12 @@
<p>
The test program distribution_concept_check.cpp
is responsible for using <code class="computeroutput"><span class="identifier">DistributionConcept</span></code>
- to verify that all the distributions in this library conform to the Distribution concept.
+ to verify that all the distributions in this library conform to the <a class="link" href="dist_concept.html" title="Conceptual Requirements for Distribution Types">Distribution concept</a>.
</p>
<p>
The class template <code class="computeroutput"><span class="identifier">DistributionConcept</span></code>
verifies the existence (but not proper function) of the non-member accessors
- required by the <a href="dist_concept.html" title="Conceptual Requirements for Distribution Types">Distribution
+ required by the <a class="link" href="dist_concept.html" title="Conceptual Requirements for Distribution Types">Distribution
concept</a>. These are checked by calls like
</p>
<p>
@@ -164,7 +164,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Conceptual Requirements for Real Number Types</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../using_udt.html" title="Use with User-Defined Floating-Point Types">
<link rel="prev" href="use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">
<link rel="next" href="dist_concept.html" title="Conceptual Requirements for Distribution Types">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.using_udt.concepts"></a><a href="concepts.html" title="Conceptual Requirements for Real Number Types"> Conceptual Requirements
+<a name="math_toolkit.using_udt.concepts"></a><a class="link" href="concepts.html" title="Conceptual Requirements for Real Number Types"> Conceptual Requirements
for Real Number Types</a>
</h3></div></div></div>
<p>
@@ -32,7 +32,7 @@
with any type <span class="emphasis"><em>RealType</em></span> that meets the conceptual requirements
given below. All the built in floating point types will meet these requirements.
User defined types that meet the requirements can also be used. For example,
- with a thin wrapper class
+ with <a class="link" href="use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">a thin wrapper class</a>
one of the types provided with NTL (RR)
can be used. Submissions of binding to other extended precision types would
also be most welcome!
@@ -42,8 +42,8 @@
behaves just like a built in floating point type.
</p>
<a name="math_toolkit.using_udt.concepts.basic_arithmetic_requirements"></a><h5>
-<a name="id809305"></a>
- <a href="concepts.html#math_toolkit.using_udt.concepts.basic_arithmetic_requirements">Basic
+<a name="id836816"></a>
+ <a class="link" href="concepts.html#math_toolkit.using_udt.concepts.basic_arithmetic_requirements">Basic
Arithmetic Requirements</a>
</h5>
<p>
@@ -1034,8 +1034,8 @@
</td></tr>
</table></div>
<a name="math_toolkit.using_udt.concepts.standard_library_support_requirements"></a><h5>
-<a name="id812373"></a>
- <a href="concepts.html#math_toolkit.using_udt.concepts.standard_library_support_requirements">Standard
+<a name="id839884"></a>
+ <a class="link" href="concepts.html#math_toolkit.using_udt.concepts.standard_library_support_requirements">Standard
Library Support Requirements</a>
</h5>
<p>
@@ -1334,7 +1334,7 @@
called unqualified so that argument-dependent-lookup can take place.
</p>
<p>
- In addition, for efficient and accurate results, a <a href="../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ In addition, for efficient and accurate results, a <a class="link" href="../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> is highly desirable. You may be able to adapt an existing
approximation from boost/math/special_functions/lanczos.hpp
or libs/math/tools/ntl_rr_lanczos.hpp:
@@ -1350,7 +1350,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/dist_concept.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/dist_concept.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/dist_concept.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Conceptual Requirements for Distribution Types</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../using_udt.html" title="Use with User-Defined Floating-Point Types">
<link rel="prev" href="concepts.html" title="Conceptual Requirements for Real Number Types">
<link rel="next" href="archetypes.html" title="Conceptual Archetypes and Testing">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.using_udt.dist_concept"></a><a href="dist_concept.html" title="Conceptual Requirements for Distribution Types"> Conceptual Requirements
+<a name="math_toolkit.using_udt.dist_concept"></a><a class="link" href="dist_concept.html" title="Conceptual Requirements for Distribution Types"> Conceptual Requirements
for Distribution Types</a>
</h3></div></div></div>
<p>
@@ -33,8 +33,8 @@
</p>
<p>
Please note that this documentation should not be used as a substitute for
- the reference documentation,
- and tutorial of the statistical
+ the <a class="link" href="../dist/dist_ref.html" title="Statistical Distributions Reference">reference documentation</a>,
+ and <a class="link" href="../dist/stat_tut.html" title="Statistical Distributions Tutorial">tutorial</a> of the statistical
distributions.
</p>
<p>
@@ -97,7 +97,7 @@
</td>
<td>
<p>
- The Policy to use when
+ The <a class="link" href="../policy.html" title="Policies">Policy</a> to use when
evaluating functions that depend on this distribution.
</p>
</td>
@@ -382,7 +382,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/use_ntl.html
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/use_ntl.html (original)
+++ branches/release/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/use_ntl.html 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -3,8 +3,8 @@
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<title>Using With NTL - a High-Precision Floating-Point Library</title>
<link rel="stylesheet" href="../../../../../../../doc/html/boostbook.css" type="text/css">
-<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_2006-12-17_0120">
-<link rel="start" href="../../index.html" title="Math Toolkit">
+<meta name="generator" content="DocBook XSL Stylesheets Vsnapshot_8125">
+<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../using_udt.html" title="Use with User-Defined Floating-Point Types">
<link rel="prev" href="../using_udt.html" title="Use with User-Defined Floating-Point Types">
<link rel="next" href="concepts.html" title="Conceptual Requirements for Real Number Types">
@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.using_udt.use_ntl"></a><a href="use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library"> Using With NTL - a High-Precision
+<a name="math_toolkit.using_udt.use_ntl"></a><a class="link" href="use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library"> Using With NTL - a High-Precision
Floating-Point Library</a>
</h3></div></div></div>
<p>
@@ -42,7 +42,7 @@
standard library functions not implemented in NTL.
</p>
<p>
- Finally there is a high precision <a href="../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ Finally there is a high precision <a class="link" href="../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> suitable for use with <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">ntl</span><span class="special">::</span><span class="identifier">RR</span></code>, used at 1000-bit precision in libs/math/tools/ntl_rr_lanczos.hpp.
The approximation has a theoretical precision of > 90 decimal digits,
and an experimental precision of > 100 decimal digits. To use that approximation,
@@ -54,7 +54,7 @@
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
- Holin, Xiaogang Zhang and Bruno Lalande<p>
+ Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
Modified: branches/release/libs/math/doc/sf_and_dist/math.qbk
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/math.qbk (original)
+++ branches/release/libs/math/doc/sf_and_dist/math.qbk 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -1,13 +1,13 @@
[article Math Toolkit
[quickbook 1.4]
- [copyright 2006, 2007, 2008 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang and Bruno Lalande]
+ [copyright 2006, 2007, 2008 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno Lalande and Johan Råde]
[purpose ISBN 0-9504833-2-X 978-0-9504833-2-0, Classification 519.2-dc22]
[license
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
[@http://www.boost.org/LICENSE_1_0.txt])
]
- [authors [Maddock, John], [Bristow, Paul A.], [Holin, Hubert], [Zhang, Xiaogang], [Lalande, Bruno]]
+ [authors [Maddock, John], [Bristow, Paul A.], [Holin, Hubert], [Zhang, Xiaogang], [Lalande, Bruno], [Råde, Johan]]
[category math]
[purpose mathematics]
[/last-revision $Date$]
Modified: branches/release/libs/math/doc/sf_and_dist/roadmap.qbk
==============================================================================
--- branches/release/libs/math/doc/sf_and_dist/roadmap.qbk (original)
+++ branches/release/libs/math/doc/sf_and_dist/roadmap.qbk 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -1,5 +1,11 @@
[template history[]
+[h4 Boost-1.38.0]
+
+* Added Johan R'''å'''de's optimised floating point classification routines.
+* Fixed code so that it compiles in GCC's -pedantic mode (bug report
+[@https://svn.boost.org/trac/boost/ticket/1451 #1451]).
+
[h4 Boost-1.37.0]
* Improved accuracy and testing of the inverse hypergeometric functions.
Modified: branches/release/libs/math/src/tr1/llround.cpp
==============================================================================
--- branches/release/libs/math/src/tr1/llround.cpp (original)
+++ branches/release/libs/math/src/tr1/llround.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -13,7 +13,7 @@
namespace boost{ namespace math{ namespace tr1{
-extern "C" long long BOOST_MATH_TR1_DECL llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
+extern "C" ::boost::long_long_type BOOST_MATH_TR1_DECL llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{
return c_policies::llround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
}
Modified: branches/release/libs/math/src/tr1/llroundf.cpp
==============================================================================
--- branches/release/libs/math/src/tr1/llroundf.cpp (original)
+++ branches/release/libs/math/src/tr1/llroundf.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -13,7 +13,7 @@
namespace boost{ namespace math{ namespace tr1{
-extern "C" long long BOOST_MATH_TR1_DECL llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
+extern "C" ::boost::long_long_type BOOST_MATH_TR1_DECL llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{
return c_policies::llround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
}
Modified: branches/release/libs/math/src/tr1/llroundl.cpp
==============================================================================
--- branches/release/libs/math/src/tr1/llroundl.cpp (original)
+++ branches/release/libs/math/src/tr1/llroundl.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -13,7 +13,7 @@
namespace boost{ namespace math{ namespace tr1{
-extern "C" long long BOOST_MATH_TR1_DECL llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
+extern "C" ::boost::long_long_type BOOST_MATH_TR1_DECL llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{
return c_policies::llround BOOST_PREVENT_MACRO_SUBSTITUTION(x);
}
Modified: branches/release/libs/math/test/Jamfile.v2
==============================================================================
--- branches/release/libs/math/test/Jamfile.v2 (original)
+++ branches/release/libs/math/test/Jamfile.v2 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -398,7 +398,15 @@
: # input files
: # requirements
<define>TEST_REAL_CONCEPT
- : test_nc_beta_real_concept ;
+ <define>TEST_DATA=1
+ : test_nc_beta_real_concept1 ;
+run test_nc_beta.cpp
+ : # command line
+ : # input files
+ : # requirements
+ <define>TEST_REAL_CONCEPT
+ <define>TEST_DATA=2
+ : test_nc_beta_real_concept2 ;
run test_nc_f.cpp ;
run test_nc_t.cpp
: # command line
@@ -488,6 +496,11 @@
run test_policy.cpp ;
run test_policy_2.cpp ;
+run test_policy_3.cpp ;
+run test_policy_4.cpp ;
+run test_policy_5.cpp ;
+run test_policy_6.cpp ;
+run test_policy_7.cpp ;
run test_policy_sf.cpp ;
run test_tr1.cpp
Modified: branches/release/libs/math/test/complex_test.cpp
==============================================================================
--- branches/release/libs/math/test/complex_test.cpp (original)
+++ branches/release/libs/math/test/complex_test.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -47,7 +47,7 @@
//
bool result = true;
static const std::complex<T> zero(0);
- static const T eps = std::pow(static_cast<T>(std::numeric_limits<T>::radix), 1 - std::numeric_limits<T>::digits);
+ static const T eps = std::pow(static_cast<T>(std::numeric_limits<T>::radix), static_cast<T>(1 - std::numeric_limits<T>::digits));
if(a == zero)
{
if(b != zero)
@@ -258,7 +258,7 @@
typedef std::complex<T> ct;
ct result;
static const T two = 2.0;
- T eps = std::pow(two, 1-std::numeric_limits<T>::digits); // numeric_limits<>::epsilon way too small to be useful on Darwin.
+ T eps = std::pow(two, T(1-std::numeric_limits<T>::digits)); // numeric_limits<>::epsilon way too small to be useful on Darwin.
static const T zero = 0;
static const T mzero = -zero;
static const T one = 1;
Modified: branches/release/libs/math/test/log1p_expm1_test.cpp
==============================================================================
--- branches/release/libs/math/test/log1p_expm1_test.cpp (original)
+++ branches/release/libs/math/test/log1p_expm1_test.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -128,6 +128,14 @@
BOOST_CHECK_EQUAL(boost::math::log1p(m_one), -std::numeric_limits<T>::infinity());
BOOST_CHECK_EQUAL(boost::math::expm1(-std::numeric_limits<T>::infinity()), m_one);
BOOST_CHECK_EQUAL(boost::math::expm1(std::numeric_limits<T>::infinity()), std::numeric_limits<T>::infinity());
+#ifndef __BORLANDC__
+ // When building with Borland's compiler, simply the *presence*
+ // of these tests cause other unrelated tests to fail!!! :-(
+ using namespace boost::math::policies;
+ typedef policy<overflow_error<throw_on_error> > pol;
+ BOOST_CHECK_THROW(boost::math::log1p(m_one, pol()), std::overflow_error);
+ BOOST_CHECK_THROW(boost::math::expm1(std::numeric_limits<T>::infinity(), pol()), std::overflow_error);
+#endif
}
}
@@ -156,3 +164,4 @@
#endif
return 0;
}
+
Modified: branches/release/libs/math/test/test_classify.cpp
==============================================================================
--- branches/release/libs/math/test/test_classify.cpp (original)
+++ branches/release/libs/math/test/test_classify.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -15,10 +15,46 @@
#pragma warning(disable: 4127) // conditional expression is constant
#endif
+const char* method_name(const boost::math::detail::native_tag&)
+{
+ return "Native";
+}
+
+const char* method_name(const boost::math::detail::generic_tag<true>&)
+{
+ return "Generic (with numeric limits)";
+}
+
+const char* method_name(const boost::math::detail::generic_tag<false>&)
+{
+ return "Generic (without numeric limits)";
+}
+
+const char* method_name(const boost::math::detail::ieee_tag&)
+{
+ return "IEEE std";
+}
+
+const char* method_name(const boost::math::detail::ieee_copy_all_bits_tag&)
+{
+ return "IEEE std, copy all bits";
+}
+
+const char* method_name(const boost::math::detail::ieee_copy_leading_bits_tag&)
+{
+ return "IEEE std, copy leading bits";
+}
+
template <class T>
void test_classify(T t, const char* type)
{
std::cout << "Testing type " << type << std::endl;
+
+ typedef typename boost::math::detail::fp_traits<T>::type traits;
+ typedef typename traits::method method;
+
+ std::cout << "Evaluation method = " << method_name(method()) << std::endl;
+
t = 2;
T u = 2;
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
@@ -50,6 +86,7 @@
}
if(std::numeric_limits<T>::has_denorm)
{
+ t = (std::numeric_limits<T>::min)();
t /= 2;
if(t != 0)
{
Modified: branches/release/libs/math/test/test_constants.cpp
==============================================================================
--- branches/release/libs/math/test/test_constants.cpp (original)
+++ branches/release/libs/math/test/test_constants.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -20,8 +20,8 @@
{
// Basic sanity checks for constants.
- RealType tolerance = static_cast<RealType>(2e-15); // double
- //cout << "Tolerance for type " << typeid(T).name() << " is " << tolerance << "." << endl;
+ RealType tolerance = boost::math::tools::epsilon<RealType>() * 2; // double
+ std::cout << "Tolerance for type " << typeid(RealType).name() << " is " << tolerance << "." << std::endl;
using namespace boost::math::constants;
using namespace std; // Help ADL of std exp, log...
@@ -86,3 +86,6 @@
+
+
+
Modified: branches/release/libs/math/test/test_expint.cpp
==============================================================================
--- branches/release/libs/math/test/test_expint.cpp (original)
+++ branches/release/libs/math/test/test_expint.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -115,6 +115,13 @@
".*", 150, 50); // test function
}
add_expected_result(
+ "Sun.*", // compiler
+ ".*", // stdlib
+ ".*", // platform
+ "real_concept", // test type(s)
+ ".*Ei.*", // test data group
+ ".*", 150, 50); // test function
+ add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
Modified: branches/release/libs/math/test/test_nc_beta.cpp
==============================================================================
--- branches/release/libs/math/test/test_nc_beta.cpp (original)
+++ branches/release/libs/math/test/test_nc_beta.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -393,14 +393,17 @@
template <typename T>
void test_accuracy(T, const char* type_name)
{
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
#include "ncbeta.ipp"
do_test_nc_chi_squared(ncbeta, type_name, "Non Central Beta, medium parameters");
quantile_sanity_check(ncbeta, type_name, "Non Central Beta, medium parameters");
-
+#endif
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
#include "ncbeta_big.ipp"
do_test_nc_chi_squared(ncbeta_big, type_name, "Non Central Beta, large parameters");
// Takes too long to run:
// quantile_sanity_check(ncbeta_big, type_name, "Non Central Beta, large parameters");
+#endif
}
int test_main(int, char* [])
Modified: branches/release/libs/math/test/test_nc_chi_squared.cpp
==============================================================================
--- branches/release/libs/math/test/test_nc_chi_squared.cpp (original)
+++ branches/release/libs/math/test/test_nc_chi_squared.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -191,7 +191,7 @@
{
RealType tolerance = (std::max)(
boost::math::tools::epsilon<RealType>(),
- (RealType)boost::math::tools::epsilon<double>() * 5) * 100;
+ (RealType)boost::math::tools::epsilon<double>() * 5) * 150;
//
// At float precision we need to up the tolerance, since
// the input values are rounded off to inexact quantities
Modified: branches/release/libs/math/test/test_poisson.cpp
==============================================================================
--- branches/release/libs/math/test/test_poisson.cpp (original)
+++ branches/release/libs/math/test/test_poisson.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -442,7 +442,7 @@
RealType x = quantile(p1, poisson_quantile_data[i][1]);
BOOST_CHECK_CLOSE_FRACTION(x, poisson_quantile_data[i][2], tol);
x = quantile(complement(p1, poisson_quantile_data[i][1]));
- BOOST_CHECK_CLOSE_FRACTION(x, poisson_quantile_data[i][3], tol);
+ BOOST_CHECK_CLOSE_FRACTION(x, poisson_quantile_data[i][3], tol * 3);
//
// Now with round down to integer:
//
Modified: branches/release/libs/math/test/test_policy_2.cpp
==============================================================================
--- branches/release/libs/math/test/test_policy_2.cpp (original)
+++ branches/release/libs/math/test/test_policy_2.cpp 2009-01-07 11:37:59 EST (Wed, 07 Jan 2009)
@@ -39,76 +39,6 @@
BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::denorm_error_type, denorm_error<throw_on_error> >::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
- BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
-
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::denorm_error_type, denorm_error<throw_on_error> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::precision_type, digits2<20> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_float_type, promote_float<false> >::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
- BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
-
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::domain_error_type, domain_error<ignore_error> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::denorm_error_type, denorm_error<throw_on_error> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::precision_type, digits2<20> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::promote_float_type, promote_float<false> >::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::promote_double_type, policy<>::promote_double_type>::value));
- BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
-
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::domain_error_type, domain_error<ignore_error> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::denorm_error_type, denorm_error<throw_on_error> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::precision_type, digits2<20> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::promote_float_type, promote_float<false> >::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::promote_double_type, policy<>::promote_double_type>::value));
- BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
-
- BOOST_CHECK(check_same(make_policy(), policy<>()));
- BOOST_CHECK(check_same(make_policy(denorm_error<ignore_error>()), normalise<policy<denorm_error<ignore_error> > >::type()));
- BOOST_CHECK(check_same(make_policy(digits2<20>()), normalise<policy<digits2<20> > >::type()));
- BOOST_CHECK(check_same(make_policy(promote_float<false>()), normalise<policy<promote_float<false> > >::type()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>()), normalise<policy<domain_error<ignore_error> > >::type()));
- BOOST_CHECK(check_same(make_policy(pole_error<ignore_error>()), normalise<policy<pole_error<ignore_error> > >::type()));
- BOOST_CHECK(check_same(make_policy(indeterminate_result_error<ignore_error>()), normalise<policy<indeterminate_result_error<ignore_error> > >::type()));
-
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>()), policy<domain_error<ignore_error> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits10<5>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<19> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false> >()));
-#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>(), promote_double<false>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false>, promote_double<false> >()));
- BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>(), promote_double<false>(), discrete_quantile<integer_round_down>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false>, promote_double<false>, discrete_quantile<integer_round_down> >()));
-#endif
return 0;
} // int test_main(int, char* [])
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