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Boost-Commit : |
Subject: [Boost-commit] svn:boost r50608 - in sandbox/math_toolkit: boost/math/distributions/detail libs/math/doc/sf_and_dist/distributions libs/math/test libs/math/tools
From: john_at_[hidden]
Date: 2009-01-15 07:34:28
Author: johnmaddock
Date: 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
New Revision: 50608
URL: http://svn.boost.org/trac/boost/changeset/50608
Log:
Fix a few bugs, and more test data and update docs.
Added:
sandbox/math_toolkit/libs/math/test/hypergeometric_dist_data2.ipp (contents, props changed)
sandbox/math_toolkit/libs/math/tools/hypergeometric_dist_data.cpp (contents, props changed)
Text files modified:
sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_cdf.hpp | 116 +++--
sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_pdf.hpp | 9
sandbox/math_toolkit/libs/math/doc/sf_and_dist/distributions/hypergeometric.qbk | 10
sandbox/math_toolkit/libs/math/test/hypergeometric_test_data.ipp | 792 ++++++++++++++++++++-------------------
sandbox/math_toolkit/libs/math/test/test_hypergeometric_dist.cpp | 69 +++
5 files changed, 556 insertions(+), 440 deletions(-)
Modified: sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_cdf.hpp
==============================================================================
--- sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_cdf.hpp (original)
+++ sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_cdf.hpp 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
@@ -13,72 +13,86 @@
namespace boost{ namespace math{ namespace detail{
-template <class T, class Policy>
-T hypergeometric_cdf_imp(unsigned x, unsigned r, unsigned n, unsigned N, bool invert, const Policy& pol)
-{
+ template <class T, class Policy>
+ T hypergeometric_cdf_imp(unsigned x, unsigned r, unsigned n, unsigned N, bool invert, const Policy& pol)
+ {
#ifdef BOOST_MSVC
# pragma warning(push)
# pragma warning(disable:4267)
#endif
- BOOST_MATH_STD_USING
- T result = 0;
- T mean = T(r * n) / N;
- if(x < mean)
- {
- result = hypergeometric_pdf<T>(x, r, n, N, pol);
- T diff = result;
- unsigned lower_limit = static_cast<unsigned>((std::max)(0, (int)(n + r) - (int)(N)));
- while(result / diff > tools::epsilon<T>())
- {
- diff = x * (N + x - n - r) * diff / ((1 + n - x) * (1 + r - x));
- if(x == lower_limit)
- break;
- --x;
- result += diff;
- }
- }
- else
- {
- invert = !invert;
- unsigned upper_limit = (std::min)(r, n);
- if(x != upper_limit)
+ BOOST_MATH_STD_USING
+ T result = 0;
+ T mode = floor(T(r + 1) * T(n + 1) / (N + 2));
+ if(x < mode)
{
- ++x;
result = hypergeometric_pdf<T>(x, r, n, N, pol);
T diff = result;
- while((x <= upper_limit) && (result / diff > tools::epsilon<T>()))
+ unsigned lower_limit = static_cast<unsigned>((std::max)(0, (int)(n + r) - (int)(N)));
+ while(diff > (invert ? T(1) : result) * tools::epsilon<T>())
{
- diff = (n - x) * (r - x) * diff / ((x + 1) * (N + x + 1 - n - r));
- ++x;
+ diff = T(x) * T((N + x) - n - r) * diff / (T(1 + n - x) * T(1 + r - x));
result += diff;
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+ BOOST_MATH_INSTRUMENT_VARIABLE(diff);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+ if(x == lower_limit)
+ break;
+ --x;
}
}
- }
- if(invert)
- result = 1 - result;
- return result;
+ else
+ {
+ invert = !invert;
+ unsigned upper_limit = (std::min)(r, n);
+ if(x != upper_limit)
+ {
+ ++x;
+ result = hypergeometric_pdf<T>(x, r, n, N, pol);
+ T diff = result;
+ while((x <= upper_limit) && (diff > (invert ? T(1) : result) * tools::epsilon<T>()))
+ {
+ diff = T(n - x) * T(r - x) * diff / (T(x + 1) * T((N + x + 1) - n - r));
+ result += diff;
+ ++x;
+ BOOST_MATH_INSTRUMENT_VARIABLE(x);
+ BOOST_MATH_INSTRUMENT_VARIABLE(diff);
+ BOOST_MATH_INSTRUMENT_VARIABLE(result);
+ }
+ }
+ }
+ if(invert)
+ result = 1 - result;
+ return result;
#ifdef BOOST_MSVC
# pragma warning(pop)
#endif
-}
+ }
-template <class T, class Policy>
-inline T hypergeometric_cdf(unsigned x, unsigned r, unsigned n, unsigned N, bool invert, const Policy&)
-{
- BOOST_FPU_EXCEPTION_GUARD
- typedef typename tools::promote_args<T>::type result_type;
- typedef typename policies::evaluation<result_type, Policy>::type value_type;
- typedef typename policies::normalise<
- Policy,
- policies::promote_float<false>,
- policies::promote_double<false>,
- policies::discrete_quantile<>,
- policies::assert_undefined<> >::type forwarding_policy;
-
- value_type result;
- result = detail::hypergeometric_cdf_imp<value_type>(x, r, n, N, invert, forwarding_policy());
- return policies::checked_narrowing_cast<result_type, forwarding_policy>(result, "boost::math::hypergeometric_cdf<%1%>(%1%,%1%,%1%,%1%)");
-}
+ template <class T, class Policy>
+ inline T hypergeometric_cdf(unsigned x, unsigned r, unsigned n, unsigned N, bool invert, const Policy&)
+ {
+ BOOST_FPU_EXCEPTION_GUARD
+ typedef typename tools::promote_args<T>::type result_type;
+ typedef typename policies::evaluation<result_type, Policy>::type value_type;
+ typedef typename policies::normalise<
+ Policy,
+ policies::promote_float<false>,
+ policies::promote_double<false>,
+ policies::discrete_quantile<>,
+ policies::assert_undefined<> >::type forwarding_policy;
+
+ value_type result;
+ result = detail::hypergeometric_cdf_imp<value_type>(x, r, n, N, invert, forwarding_policy());
+ if(result > 1)
+ {
+ result = 1;
+ }
+ if(result < 0)
+ {
+ result = 0;
+ }
+ return policies::checked_narrowing_cast<result_type, forwarding_policy>(result, "boost::math::hypergeometric_cdf<%1%>(%1%,%1%,%1%,%1%)");
+ }
}}} // namespaces
Modified: sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_pdf.hpp
==============================================================================
--- sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_pdf.hpp (original)
+++ sandbox/math_toolkit/boost/math/distributions/detail/hypergeometric_pdf.hpp 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
@@ -381,6 +381,15 @@
result = detail::hypergeometric_pdf_lanczos_imp<value_type>(x, r, n, N, evaluation_type(), forwarding_policy());
}
+ if(result > 1)
+ {
+ result = 1;
+ }
+ if(result < 0)
+ {
+ result = 0;
+ }
+
return policies::checked_narrowing_cast<result_type, forwarding_policy>(result, "boost::math::hypergeometric_pdf<%1%>(%1%,%1%,%1%,%1%)");
}
Modified: sandbox/math_toolkit/libs/math/doc/sf_and_dist/distributions/hypergeometric.qbk
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/sf_and_dist/distributions/hypergeometric.qbk (original)
+++ sandbox/math_toolkit/libs/math/doc/sf_and_dist/distributions/hypergeometric.qbk 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
@@ -119,7 +119,7 @@
For larger N such that `N < boost::math::prime(boost::math::max_prime)`
then only basic arithmetic is required for the calculation
-and the accuracy is typically < 100 epsilon. This takes care of N
+and the accuracy is typically < 20 epsilon. This takes care of N
up to 104729.
For `N > boost::math::prime(boost::math::max_prime)` then accuracy quickly
@@ -129,6 +129,14 @@
decimal digits of precision during the calculation, with the results
becoming meaningless for N >= 10[super 15].
+[h4 Testing]
+
+There are three sets of tests: our implementation is tested against a table of values
+produced by Mathematica's implementation of this distribution, we also sanity check
+our implementation against some spot values computed using the online calculator
+here [@ ]. Finally we test accuracy against some high precision test data using
+this implementation and NTL::RR.
+
[h4 Implementation]
The PDF can be calculated directly using the formula:
Added: sandbox/math_toolkit/libs/math/test/hypergeometric_dist_data2.ipp
==============================================================================
--- (empty file)
+++ sandbox/math_toolkit/libs/math/test/hypergeometric_dist_data2.ipp 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
@@ -0,0 +1,1557 @@
+// Copyright John Maddock 2008
+// 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)
+//
+// High precision test data generated with NTL::RR at 1000 bit presision, a few values
+// (5) are commented out as they are too close to numeric_limits<double>::min(), to expect
+// our implementation to cope :-(
+//
+#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+ static const boost::array<boost::array<T, 7>, 1542-5> hypergeometric_dist_data2 = {{
+ { SC_(3), SC_(3), SC_(4), SC_(3), SC_(0.25), SC_(1), SC_(0) },
+ { SC_(3), SC_(3), SC_(15), SC_(1), SC_(0.4351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648352), SC_(0.9186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813187), SC_(0.08131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868132) },
+ { SC_(3), SC_(3), SC_(29), SC_(1), SC_(0.2668308702791461412151067323481116584564860426929392446633825944170771756978653530377668308702791461), SC_(0.9783798576902025177887246852764094143404488232074438970990695128626163108921729611384783798576902025), SC_(0.02162014230979748221127531472359058565955117679255610290093048713738368910782703886152162014230979748) },
+ { SC_(3), SC_(3), SC_(36), SC_(0), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.2358543417366946778711484593837535014005602240896358543417366946778711484593837535014005602240896359) },
+ { SC_(3), SC_(3), SC_(126), SC_(1), SC_(0.06915207373271889400921658986175115207373271889400921658986175115207373271889400921658986175115207373), SC_(0.9988632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388632873), SC_(0.00113671274961597542242703533026113671274961597542242703533026113671274961597542242703533026113671275) },
+ { SC_(3), SC_(3), SC_(244), SC_(1), SC_(0.03627933583224194252510198858932092911228529708410483373225549082479037769648797964744313477547456683), SC_(0.9996972540440001940250325744612878244274170752064443072888179693942237409698909947295441582575213971), SC_(0.000302745955999805974967425538712175572582924793555692711182030605776259030109005270455841742478602886) },
+ { SC_(3), SC_(3), SC_(312), SC_(1), SC_(0.02847574062696975257912919981170162686602889901302928997151588169117471057103875276264032617108024223), SC_(0.9998148931247157572227585711664126766294591209019172923332242904901342822720273192215936744512618385), SC_(0.0001851068752842427772414288335873233705408790980827076667757095098657177279726807784063255487381615377) },
+ { SC_(3), SC_(3), SC_(835), SC_(2), SC_(0.2581655589043871544223599921164347357001646994902729971495771013355154666872564732609107917496038177e-4), SC_(0.999999989656828569535771056796474674822326294063914283242267742404763568288643161568250269995561228), SC_(0.1034317143046422894320352532517767370593608571675773225759523643171135683843174973000443877201938372e-7) },
+ { SC_(3), SC_(3), SC_(1339), SC_(2), SC_(0.1003947183170306346342155134292225965295905454265948800011213749375291485656947505252493605792007758e-4), SC_(0.9999999974951417585571198943559003635423503859882598446458363273173309646325062733110092184319021812), SC_(0.2504858241442880105644099636457649614011740155354163672682669035367493726688990781568097818842334726e-8) },
+ { SC_(3), SC_(3), SC_(2247), SC_(0), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.004001774340182039621816866485762739636231454159698130959480037736939867635378997278767648102672979931) },
+ { SC_(3), SC_(3), SC_(6337), SC_(3), SC_(0.2358879496308800831829226846824974806129072443631243697852416096666081626809510143119559709141024524e-10), SC_(1), SC_(0) },
+ { SC_(3), SC_(3), SC_(10473), SC_(0), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.0008591885023730048984584491483158548828081452311433244677211212651901929749810224714931124815710299385) },
+ { SC_(3), SC_(3), SC_(19470), SC_(1), SC_(0.0004621546458171547706035663976460440873902809077223878291601948898604009482839619586692293887835934892), SC_(0.9999999525159191114148724475287847286487033774428645094517372539046053407646527981249525685746332899), SC_(0.474840808885851275524712152713512966225571354905482627460953946592353472018750474314253667100720009e-7) },
+ { SC_(3), SC_(3), SC_(50688), SC_(1), SC_(0.000177542806299746271839033476123055921258690574273239708494936745387243192897196272502864976921637669), SC_(0.9999999929940820013404761079588834178272825101176741447805926107966813260382970495239146011235174132), SC_(0.7005917998659523892041116582172717489882325855219407389203318673961702950476085398876482586792219422e-8) },
+ { SC_(3), SC_(3), SC_(130605), SC_(0), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.6890901710617352197436236472879500914973961458440866880787047946482061245595384134622587257191965793e-4) },
+ { SC_(3), SC_(3), SC_(256574), SC_(3), SC_(0.3552371635159513860325600038240152740963615324848620192169438646974730526842238040838310286570387811e-15), SC_(1), SC_(0) },
+ { SC_(3), SC_(3), SC_(523360), SC_(0), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.1719651025451744114496590283987316173561482561341785526470663472723107246227739593870072242726417493e-4) },
+ { SC_(3), SC_(3), SC_(1030167), SC_(0), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.8736430624445862807357391600471219322541802740147924513384939342307243204354924979762204085240624246e-5) },
+ { SC_(3), SC_(3), SC_(2063277), SC_(2), SC_(0.4228218588078016537393349224242898158519654500706774154042360990115337890442550174169690336289444862e-11), SC_(0.9999999999999999993169078871608882230549845820699047309406224442792096195912643384389346637753886614), SC_(0.6830921128391117769450154179300952690593775557207903804087356615610653362246113385544044834804609231e-18) },
+ { SC_(3), SC_(3), SC_(2427690), SC_(1), SC_(0.3707221750341069722722473098862872930454653367564927579893098340856950440114769756467321264276216895e-5), SC_(0.9999999999969458799372235119189781595585754725019076995712217203898365865515984553898056310910853473), SC_(0.3054120062776488081021840441424527498092300428778279610163413448401544610194368908914652696290939e-11) },
+ { SC_(4), SC_(3), SC_(15), SC_(3), SC_(0.008791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791), SC_(1), SC_(0) },
+ { SC_(4), SC_(3), SC_(29), SC_(3), SC_(0.001094690749863163656267104542966611932129173508483853311439518336070060207991242474001094690749863164), SC_(1), SC_(0) },
+ { SC_(4), SC_(3), SC_(36), SC_(0), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.3053221288515406162464985994397759103641456582633053221288515406162464985994397759103641456582633053) },
+ { SC_(4), SC_(3), SC_(126), SC_(1), SC_(0.09070353302611367127496159754224270353302611367127496159754224270353302611367127496159754224270353303), SC_(0.9977388632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388633), SC_(0.002261136712749615975422427035330261136712749615975422427035330261136712749615975422427035330261136713) },
+ { SC_(4), SC_(3), SC_(244), SC_(2), SC_(0.0006021466528172936518689126736816751719881377109394993150581824203284709991118336870944918634933538063), SC_(0.999998327370408840850967030798128662013411144061914056946347060604387976469446911573091404189268074), SC_(0.1672629591159149032969201871337986588855938085943053652939395612023530553088426908595810731925982795e-5) },
+ { SC_(4), SC_(3), SC_(312), SC_(1), SC_(0.03772190883486392251043220859629945824324000861704419426647411296306639113401897345471663488466724646), SC_(0.9996305841238939465264535278019356434458602283516711480615639935212593650515027965499908244436820311), SC_(0.0003694158761060534735464721980643565541397716483288519384360064787406349484972034500091755563179689308) },
+ { SC_(4), SC_(3), SC_(835), SC_(0), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.0143196036869062017604181206364422303621832138705652424240277250778827879749668359137046452579222358) },
+ { SC_(4), SC_(3), SC_(1339), SC_(2), SC_(0.2006391451395746964620923808802577340823403864438685101818817897329362475077881616036046352892710116e-4), SC_(0.9999999899805670342284795774236014541694015439530393785833453092693238585300250932440368737276087246), SC_(0.1001943296577152042257639854583059845604696062141665469073067614146997490675596312627239127536933891e-7) },
+ { SC_(4), SC_(3), SC_(2247), SC_(0), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.00533332277020853422125294019366947394153060996964505859188714998595465390859373123962491060520951338) },
+ { SC_(4), SC_(3), SC_(6337), SC_(1), SC_(0.001891847586779657220992289872156166488235360255077830625107557828393192391528917256534678376235067316), SC_(0.9999991035786138127295078882572136695730741748298899712547699421248349449556601798499554117049193322), SC_(0.8964213861872704921117427863304269258251701100287452300578751650550443398201500445882950806677721395e-6) },
+ { SC_(4), SC_(3), SC_(10473), SC_(1), SC_(0.001145147061888397702122110660001930252283314446726483295739001580211816397736411435562758610336308275), SC_(0.9999996717940432933781331338466855928064043406039015380040831299199686693233212861051789564761812013), SC_(0.3282059567066218668661533144071935956593960984619959168700800313306766787138948210435238187987321505e-6) },
+ { SC_(4), SC_(3), SC_(19470), SC_(0), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.0006162378515608730608697024535632939692095283834177708295145694424926537943287087306447365329337601333) },
+ { SC_(4), SC_(3), SC_(50688), SC_(2), SC_(0.1401146740059159687000362838102443888793059676616274704507737953139928522420410555413751420906679839e-7), SC_(0.9999999999998157016362745429606976083395019540829725278619661333353710917379396616259673781922745177), SC_(0.1842983637254570393023916604980459170274721380338666646289082620603383740326218077254822588202299001e-12) },
+ { SC_(4), SC_(3), SC_(130605), SC_(3), SC_(0.1077312767938766344390907616615286138463711258594000990959287806376972053683257695934949699507976875e-13), SC_(1), SC_(0) },
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+ { SC_(1030167), SC_(10473), SC_(2427690), SC_(5712), SC_(0.7355901010579335219765238522179016937705926659452295729977036156048032907611269656358611739668634818e-137), SC_(1), SC_(0.1163249001626992207066540272519157169051103416567797715789509742964335364566244129318021762330807649e-136) },
+ { SC_(1030167), SC_(19470), SC_(2063277), SC_(6846), SC_(0.6703080713107374656044787470489971833315841258162916573058643493102267089053779105352055684607339629e-380), SC_(0.1459126867347770655865859989875429623027864182357521093362522814183914369575106484463985221090338746e-379), SC_(1) },
+ { SC_(1030167), SC_(19470), SC_(2427690), SC_(2833), SC_(0.8785288357918805501451553139735155116781962715299419647419967431421184416853195710404807906416977552e-1550), SC_(0.1139234820978152677581944812918196842184586175178446208622563077041369083565215813619803609808418003e-1549), SC_(1) },
+ { SC_(1030167), SC_(50688), SC_(2063277), SC_(5958), SC_(0.2696611800809340133866864913059483733762650252007098931107252423414951968838899485622090902801604347e-7429), SC_(0.3094335971442905044072386934961293807150112770244272987590834754277833101226687685341807913602359489e-7429), SC_(1) },
+ { SC_(1030167), SC_(50688), SC_(2427690), SC_(24749), SC_(0.2578716269345720961744344112334709803169389018972677518401353907891401845167717494934082857214768696e-188), SC_(1), SC_(0.8538547595672537381757380908369587958654029695913527955575657852406906964195281915375545945375373932e-188) },
+ { SC_(1030167), SC_(130605), SC_(2063277), SC_(67199), SC_(0.1772402217747576023975265826925769595264611577464025377584499804202175059831312745179381288679219898e-30), SC_(0.9999999999999999999999999999973844048905181626720565455251696667915520055031995673391485820685310697), SC_(0.2615595109481837327943454474830333208447994496800432660851417931468930325870724472627377999209154375e-29) },
+ { SC_(1030167), SC_(130605), SC_(2427690), SC_(62807), SC_(0.2526562134449195027792279400361520142369933233947774941848233866437381584491456912781842143198296159e-391), SC_(1), SC_(0.9235445258826835146504359095658972972561150774551460899132768721999586312051548667127893915560202981e-391) },
+ { SC_(1030167), SC_(256574), SC_(2063277), SC_(136078), SC_(0.1889505875800464975393622983597902398805285201058519859012948813401757384027515978291586034505061829e-248), SC_(1), SC_(0.1236113837302074642637204443211773020459272585535378891152669651196365415708839777030544349579933748e-247) },
+ { SC_(1030167), SC_(256574), SC_(2427690), SC_(5059), SC_(0.3415687552349317027106561182030892561608054053847049256991933370024960969305479793930443943170209826e-55782), SC_(0.3494259919719804048098668133719877462120862735795090904931820959068567376960513319071259582269982684e-55782), SC_(1) },
+ { SC_(1030167), SC_(523360), SC_(2063277), SC_(45322), SC_(0.6406250319059851000414186122521980525283948930917260704720124702812431881419266715502486311348930843e-116984), SC_(0.6767892889836179660205690345292677556531677014893649920196102930641077389045148072153989233371368326e-116984), SC_(1) },
+ { SC_(1030167), SC_(523360), SC_(2427690), SC_(169882), SC_(0.2359533635629512164764734112351286744012027902065592462710641731769499440473362833287635226506536775e-6029), SC_(0.5661726060614987628669304125055108672612592607173491522003446602490067211732156035758926889094610648e-6029), SC_(1) },
+ { SC_(1030167), SC_(1030167), SC_(2063277), SC_(744478), SC_(0.4511153571077027519604414144322801206679870058587253174456021218360208321437627577138707488632852896e-92404), SC_(1), SC_(0.7754310234985811873988039144864472895479722845395841523576919087158739737428332572815461903769407882e-92405) },
+ { SC_(1030167), SC_(1030167), SC_(2427690), SC_(572726), SC_(0.1391919893786702038962612009846824397331628724453809213678113652788484674273410824482758277274826774e-27643), SC_(1), SC_(0.8848627313045931655152816475946061877553473103461211294820092561884413448622321591917114894334786741e-27644) },
+ { SC_(2063277), SC_(3), SC_(2427690), SC_(1), SC_(0.05744948917837785396631837850087687638865986911538300396398836885344514018919283261725123608911631573), SC_(0.06083168584917255775414716520408138122920687784053330869080901476158912618517300547284053088480152357), SC_(0.9391683141508274422458528347959186187707931221594666913091909852384108738148269945271594691151984764) },
+ { SC_(2063277), SC_(4), SC_(2427690), SC_(2), SC_(0.09765192319603535795200082936537967044984677193469420307214403317599152054043820712170776297045732308), SC_(0.1096576474471902367301475798867712164541302638078804102268810313495852909563466728647636960006874216), SC_(0.8903423525528097632698524201132287835458697361921195897731189686504147090436533271352363039993125784) },
+ { SC_(2063277), SC_(15), SC_(2427690), SC_(2), SC_(0.1489538545802902607664120997954020858865667522818151389900602349430345082934769865095821871577947918e-8), SC_(0.1527562590656629047323044385006577628342277802825044663380264946841620738937005774513717697678843875e-8), SC_(0.9999999984724374093433709526769556149934223716577221971749553366197350531583792610629942254862823023) },
+ { SC_(2063277), SC_(29), SC_(2427690), SC_(24), SC_(0.1825580820948670496065127391210869986226421373788908976816528717196305923822458800333980579115728127), SC_(0.445163736077329563124004070889775468206373091875399633746378366762360683651027004054511129031081457), SC_(0.554836263922670436875995929110224531793626908124600366253621633237639316348972995945488870968918543) },
+ { SC_(2063277), SC_(36), SC_(2427690), SC_(22), SC_(0.0003125643546548426465134199665900176038001607706081738565500117820653374268332937528261593867942722811), SC_(0.0004170661129387665482411517580309840599293201092352328271804108145419950379407776296795046335742746907), SC_(0.9995829338870612334517588482419690159400706798907647671728195891854580049620592223703204953664257253) },
+ { SC_(2063277), SC_(126), SC_(2427690), SC_(124), SC_(0.3090497262600759339310995264132131683837693477210209596697565157782818504892226262835886329947677904e-6), SC_(0.9999999707466493421791804803401295750261251967731062983856754109793651076882563380203078160781201427), SC_(0.292533506578208195196598704249738748032268937016143245890206348923117436619796921839218798573098886e-7) },
+ { SC_(2063277), SC_(244), SC_(2427690), SC_(125), SC_(0.1926311146754487317839352173396317360254859601590752007913400851592802919026180964385042186799388985e-34), SC_(0.2358551776787649570027910244313940189611854169940576794125495099425455366841057480399695284027407998e-34), SC_(0.9999999999999999999999999999999999764144822321235042997208975568605981038814583005942320587450490057) },
+ { SC_(2063277), SC_(312), SC_(2427690), SC_(101), SC_(0.1166767818366514624165565698899735105639350733982911242849414658751117357600131962830133143705241353e-96), SC_(0.1273746118350149699556320311421523675800002438203319168937701298695872308610721640141197137021741127e-96), SC_(0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998726) },
+ { SC_(2063277), SC_(835), SC_(2427690), SC_(537), SC_(0.23461228902101219097178707917291860335053529413516261545028998077215105088793120601212977276059809e-48), SC_(0.3431363619828340409481381658562477455080489826352272059292470590381196707245019036327290686732838148e-48), SC_(0.9999999999999999999999999999999999999999999999996568636380171659590518618341437522544919510173647728) },
+ { SC_(2063277), SC_(1339), SC_(2427690), SC_(567), SC_(0.3041470601326637639494336714081772092631985361508198839012668100830373463893945362825999488268208953e-281), SC_(0.3492944674692955483087920207427729775582252986994579321749324087059134559172244801668433526825047348e-281), SC_(1) },
+ { SC_(2063277), SC_(2247), SC_(2427690), SC_(146), SC_(0.1961583257344876361407986442912971748133704876860571439720756997039603833526484722848050981525197114e-1509), SC_(0.1985803181231377171100024006050801391647985792237330316683697442131384730223214433005701459145186371e-1509), SC_(1) },
+ { SC_(2063277), SC_(6337), SC_(2427690), SC_(2672), SC_(0.1946697310930234468246720701513688516379049429450611162377788936941304610494217178093823793465460629e-1340), SC_(0.2231398150887527500500636624540547473831434192427597288446010950080238974412696796973001269796604522e-1340), SC_(1) },
+ { SC_(2063277), SC_(10473), SC_(2427690), SC_(9239), SC_(0.1551193531816254902127180217675278330953801636526937883589391307214311968656400971435645306065954152e-21), SC_(0.9999999999999999999995265520566596472139336012063899453012696720276036981041380189756120978583403695), SC_(0.4734479433403527860663987936100546987303279723963018958619810243879021416596305465302368046704094033e-21) },
+ { SC_(2063277), SC_(19470), SC_(2427690), SC_(4675), SC_(0.623040705399711425127124917791866020596913429898404691576374003232002649354732173377846476674429555e-7957), SC_(0.6583688419938623576817522468445990251506727431116697161171189880925188638737939276886488942322787167e-7957), SC_(1) },
+ { SC_(2063277), SC_(50688), SC_(2427690), SC_(5656), SC_(0.1529278237073002921981596930779124386741258366470694934804851463595902054455594437519411007451134623e-30822), SC_(0.1559684068913597863769291907119127621669934794968537447893450088285543334777687079420401191985208386e-30822), SC_(1) },
+ { SC_(2063277), SC_(130605), SC_(2427690), SC_(12086), SC_(0.1838031979064376860156110323884379948298364325044049860781553255686817375515358349062016312896522764e-88900), SC_(0.1860779122972254559882711932578481205298684299140770720149987268252855087660161273279636415996449002e-88900), SC_(1) },
+ { SC_(2063277), SC_(256574), SC_(2427690), SC_(208651), SC_(0.1043358350305396213816825473194597727628397567524572489210649347280772703074417268374663807425040052e-624), SC_(0.4058279349421142862579906719998452318972757308871573552913945099588747110076803516651018133973772923e-624), SC_(1) },
+ { SC_(2063277), SC_(523360), SC_(2427690), SC_(184261), SC_(0.3757927138352356631892501916344494185815670042854429196331040880186979716874474145827399077949946912e-240005), SC_(0.3785639581119621756070451029910607902592003937852821432380999689590450613028232909193510596494914717e-240005), SC_(1) },
+ { SC_(2063277), SC_(1030167), SC_(2427690), SC_(803033), SC_(0.2014503510496423731073796011823145616941176229174944683082735797595277609595578046438978094454227689e-14930), SC_(0.3276248348930073080804548929222879527457119577454409744322412672836109490789223127331688301365927403e-14930), SC_(1) },
+ { SC_(2063277), SC_(2063277), SC_(2427690), SC_(1949025), SC_(0.9948928329918925300825475902876870461866169772968706503745565572554925906532956518816712676968759027e-155653), SC_(1), SC_(0.2736845628398119894621780530003341353062573210278622168826610191467448846343071724458397259050505966e-155654) }
+ }};
+#undef SC_
+
Modified: sandbox/math_toolkit/libs/math/test/hypergeometric_test_data.ipp
==============================================================================
--- sandbox/math_toolkit/libs/math/test/hypergeometric_test_data.ipp (original)
+++ sandbox/math_toolkit/libs/math/test/hypergeometric_test_data.ipp 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
@@ -1,394 +1,412 @@
-// Copyright John Maddock
-// Copyright Paul A. Bristow
-// Copyright Gautam Sewani
-
+// Copyright Gautam Sewani 2008
// 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)
+//
+// Test data generated by Mathematica, 104 values are commented out because they have only a low
+// absolute error, not a low relative error.
+//
#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
- static const boost::array<boost::array<T, 6>, 382> hypergeometric_test_data = {{
- {SC_(1),SC_(1),SC_(3),SC_(0),SC_(0.6666666666666666666666666666666666666667),SC_(0.3333333333333333333333333333333333333333)},
- {SC_(4),SC_(1),SC_(6),SC_(1),SC_(0.6666666666666666666666666666666666666667),SC_(0.3333333333333333333333333333333333333333)},
- {SC_(1),SC_(1),SC_(9),SC_(1),SC_(0.1111111111111111111111111111111111111111),SC_(0.8888888888888888888888888888888888888889)},
- {SC_(5),SC_(20),SC_(22),SC_(3),SC_(0.04329004329004329004329004329004329004329),SC_(0.9567099567099567099567099567099567099567)},
- {SC_(5),SC_(20),SC_(22),SC_(5),SC_(0.5887445887445887445887445887445887445887),SC_(0.4112554112554112554112554112554112554113)},
- {SC_(7),SC_(20),SC_(22),SC_(7),SC_(0.4545454545454545454545454545454545454545),SC_(0.5454545454545454545454545454545454545455)},
- {SC_(7),SC_(20),SC_(22),SC_(5),SC_(0.09090909090909090909090909090909090909091),SC_(0.9090909090909090909090909090909090909091)},
- {SC_(11),SC_(18),SC_(22),SC_(8),SC_(0.2481203007518796992481203007518796992481),SC_(0.7518796992481203007518796992481203007519)},
- {SC_(11),SC_(18),SC_(22),SC_(10),SC_(0.2481203007518796992481203007518796992481),SC_(0.7518796992481203007518796992481203007519)},
- {SC_(11),SC_(18),SC_(22),SC_(11),SC_(0.04511278195488721804511278195488721804511),SC_(0.9548872180451127819548872180451127819549)},
- {SC_(11),SC_(18),SC_(22),SC_(11),SC_(0.04511278195488721804511278195488721804511),SC_(0.9548872180451127819548872180451127819549)},
- {SC_(11),SC_(18),SC_(22),SC_(7),SC_(0.04511278195488721804511278195488721804511),SC_(0.9548872180451127819548872180451127819549)},
- {SC_(11),SC_(18),SC_(22),SC_(10),SC_(0.2481203007518796992481203007518796992481),SC_(0.7518796992481203007518796992481203007519)},
- {SC_(11),SC_(18),SC_(22),SC_(9),SC_(0.4135338345864661654135338345864661654135),SC_(0.5864661654135338345864661654135338345865)},
- {SC_(11),SC_(18),SC_(22),SC_(7),SC_(0.04511278195488721804511278195488721804511),SC_(0.9548872180451127819548872180451127819549)},
- {SC_(18),SC_(38),SC_(39),SC_(18),SC_(0.5384615384615384615384615384615384615385),SC_(0.4615384615384615384615384615384615384615)},
- {SC_(27),SC_(38),SC_(39),SC_(26),SC_(0.6923076923076923076923076923076923076923),SC_(0.3076923076923076923076923076923076923077)},
- {SC_(34),SC_(23),SC_(39),SC_(21),SC_(0.2460760355497197602460760355497197602461),SC_(0.7539239644502802397539239644502802397539)},
- {SC_(34),SC_(23),SC_(39),SC_(18),SC_(0.05844305844305844305844305844305844305844),SC_(0.9415569415569415569415569415569415569416)},
- {SC_(34),SC_(23),SC_(39),SC_(22),SC_(0.0727042832305990200727042832305990200727),SC_(0.9272957167694009799272957167694009799273)},
- {SC_(34),SC_(23),SC_(39),SC_(19),SC_(0.2460760355497197602460760355497197602461),SC_(0.7539239644502802397539239644502802397539)},
- {SC_(34),SC_(23),SC_(39),SC_(18),SC_(0.05844305844305844305844305844305844305844),SC_(0.9415569415569415569415569415569415569416)},
- {SC_(3),SC_(23),SC_(39),SC_(1),SC_(0.302002407265565160302002407265565160302),SC_(0.697997592734434839697997592734434839698)},
- {SC_(3),SC_(23),SC_(39),SC_(3),SC_(0.1937848779954043111937848779954043111938),SC_(0.8062151220045956888062151220045956888062)},
- {SC_(3),SC_(23),SC_(39),SC_(2),SC_(0.4429368639894955684429368639894955684429),SC_(0.5570631360105044315570631360105044315571)},
- {SC_(67),SC_(11),SC_(83),SC_(0),SC_(2.706010904925464182482716257932309854258e-10),SC_(0.999999999729398909507453581751728374207)},
- {SC_(67),SC_(11),SC_(83),SC_(8),SC_(0.2262766859900854134484883831426249086592),SC_(0.7737233140099145865515116168573750913408)},
- {SC_(67),SC_(11),SC_(83),SC_(4),SC_(0.0005432175148209516107734018078852267959049),SC_(0.9994567824851790483892265981921147732041)},
- {SC_(67),SC_(11),SC_(83),SC_(2),SC_(1.566973600445052723384812907361231142033e-6),SC_(0.9999984330263995549472766151870926387689)},
- {SC_(67),SC_(11),SC_(83),SC_(1),SC_(3.323883394883445170816269803493520604313e-8),SC_(0.9999999667611660511655482918373019650648)},
- {SC_(67),SC_(11),SC_(83),SC_(2),SC_(1.566973600445052723384812907361231142033e-6),SC_(0.9999984330263995549472766151870926387689)},
- {SC_(67),SC_(11),SC_(83),SC_(4),SC_(0.0005432175148209516107734018078852267959049),SC_(0.9994567824851790483892265981921147732041)},
- {SC_(67),SC_(11),SC_(83),SC_(0),SC_(2.706010904925464182482716257932309854258e-10),SC_(0.999999999729398909507453581751728374207)},
- {SC_(67),SC_(11),SC_(83),SC_(9),SC_(0.3178648684146437950824003477479730859737),SC_(0.6821351315853562049175996522520269140263)},
- {SC_(67),SC_(11),SC_(83),SC_(0),SC_(2.706010904925464182482716257932309854258e-10),SC_(0.999999999729398909507453581751728374207)},
- {SC_(9),SC_(11),SC_(83),SC_(3),SC_(0.07842995151148810292298334259976836196471),SC_(0.9215700484885118970770166574002316380353)},
- {SC_(9),SC_(11),SC_(83),SC_(8),SC_(3.614308741089731253405074149125083530063e-8),SC_(0.9999999638569125891026874659492585087492)},
- {SC_(9),SC_(11),SC_(83),SC_(9),SC_(1.673291083837838543243089883854205337992e-10),SC_(0.999999999832670891616216145675691011615)},
- {SC_(9),SC_(11),SC_(83),SC_(9),SC_(1.673291083837838543243089883854205337992e-10),SC_(0.999999999832670891616216145675691011615)},
- {SC_(9),SC_(11),SC_(83),SC_(0),SC_(0.2589433319744369112377862739801876077565),SC_(0.7410566680255630887622137260198123922435)},
- {SC_(9),SC_(11),SC_(83),SC_(2),SC_(0.2464941333218197520436619338849862804605),SC_(0.7535058666781802479563380661150137195395)},
- {SC_(9),SC_(11),SC_(83),SC_(8),SC_(3.614308741089731253405074149125083530063e-8),SC_(0.9999999638569125891026874659492585087492)},
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- {SC_(6669),SC_(3183),SC_(15101),SC_(2316),SC_(1.245823054358362073354829091080361533244e-296),SC_(1)},
- {SC_(6669),SC_(3183),SC_(15101),SC_(2439),SC_(3.475581912009749797735424219312901732426e-385),SC_(1)},
- {SC_(6669),SC_(3183),SC_(15101),SC_(889),SC_(1.917460588612326199471240983672408229536e-99),SC_(1)},
- {SC_(6669),SC_(3183),SC_(15101),SC_(493),SC_(2.798437958796681291779177253703181903241e-323),SC_(1)},
- {SC_(6669),SC_(3183),SC_(15101),SC_(2516),SC_(1.222402743641579429852094136190878254222e-447),SC_(1)},
- {SC_(6669),SC_(3183),SC_(15101),SC_(1398),SC_(0.01528558210088525686595338622074431863466),SC_(0.9847144178991147431340466137792556813653)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(1537),SC_(0.003392774859500490860071777302510963220477),SC_(0.9966072251404995091399282226974890367795)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(304),SC_(2.922840434477501415001842954927414318709e-637),SC_(1)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(1618),SC_(0.005374015022472183234572722335025013239405),SC_(0.9946259849775278167654272776649749867606)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(147),SC_(1.166140591626696944317279521641537820299e-844),SC_(1)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(994),SC_(4.082339797092165474084031080999678071138e-124),SC_(1)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(1435),SC_(6.549227779469151096964159774687501788647e-10),SC_(0.999999999345077222053084890303584022531)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(1177),SC_(1.637225473461215456443219391937428290614e-59),SC_(1)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(557),SC_(1.876292866781179175774369051175441052695e-390),SC_(1)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(2537),SC_(1.349738493709665520706245824145504252837e-335),SC_(1)},
- {SC_(7501),SC_(3183),SC_(15101),SC_(2208),SC_(3.219213438312908791435341543462297273839e-141),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(3610),SC_(1.484099988688860324347110865494150425591e-57),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(3044),SC_(1.995689560016418540040642569853698309135e-21),SC_(0.99999999999999999999800431043998358146)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(1620),SC_(1.849015649864215552545803362852000903264e-1044),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(2595),SC_(5.208768449067478990782182771081425868904e-175),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(2535),SC_(7.546528069748636143178314406947992570196e-207),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(2760),SC_(3.770613903956560255235614346005457556285e-101),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(2649),SC_(1.25626420882160707497519705726113064134e-148),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(876),SC_(1.108046167104653252216718665282221499239e-2462),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(2483),SC_(1.339313699164546044660688747310956476095e-236),SC_(1)},
- {SC_(11777),SC_(4180),SC_(15101),SC_(2390),SC_(7.787214194767040239756445935466698827643e-295),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(171),SC_(8.332028361418658536444080754686162054419e-454),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(3613),SC_(1.425616764328894993104213898464695349173e-2132),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(160),SC_(1.512285651977504731078922849218810350619e-466),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(629),SC_(4.372449642211059530015191537976655830715e-117),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(1355),SC_(5.022431956222962772603321495219683924569e-14),SC_(0.999999999999949775680437770372273966785)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(202),SC_(1.135912133968950827962709304975328663493e-419),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(1401),SC_(1.570131491327047266407185069305435311167e-20),SC_(0.999999999999999999984298685086729527336)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(1705),SC_(6.623846214643720087055001577389756029752e-99),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(2579),SC_(7.669309688657428097790112921774177164257e-666),SC_(1)},
- {SC_(4240),SC_(4180),SC_(15101),SC_(668),SC_(1.809042752187027963539721406668874696593e-100),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(2512),SC_(2.598292076822219967179491085454243653849e-1869),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(3937),SC_(2.514948995863659130299872409921862164027e-637),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(6198),SC_(1.236938277579975399540504737729374988483e-6),SC_(0.999998763061722420024600459495262270625)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(3006),SC_(2.913319733060924056282277158911969263952e-1358),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(2143),SC_(1.225964079424653575588709697137289470527e-2317),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(3982),SC_(7.962168082309776222321536217568968116598e-610),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(7342),SC_(2.0332524868416741849991473068146099976e-248),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(2806),SC_(1.41730974838248657865578519761872225563e-1553),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(9959),SC_(4.691748551708249174612474072544044064791e-2391),SC_(1)},
- {SC_(11499),SC_(12934),SC_(24657),SC_(2221),SC_(9.292899039910742714594775474886352211364e-2218),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(3400),SC_(5.522963046899528154226901175475577295199e-667),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(2361),SC_(1.218226249726881097121490663821885226072e-48),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(3252),SC_(5.390845446111834412654354015587937116027e-520),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(1047),SC_(2.508605363205525039885287901237636584153e-234),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(3001),SC_(1.564917041595683869684752506952078902376e-325),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(446),SC_(3.905867526809265795951997940309987248544e-689),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(2945),SC_(8.561936437191530114441731269328784940435e-290),SC_(1)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(2112),SC_(2.01433597453552096261460076357092434246e-9),SC_(0.9999999979856640254644790373853992364291)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(2206),SC_(4.33248370298740736694721596763121257435e-20),SC_(0.999999999999999999956675162970125926331)},
- {SC_(3726),SC_(12934),SC_(24657),SC_(2586),SC_(2.621275241290113469688641859152460833984e-115),SC_(1)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(8235),SC_(2.572092392197672328633928766428875851368e-7),SC_(0.9999997427907607802327671366071233571124)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(6912),SC_(2.995220242304922530946556501112035078386e-1001),SC_(1)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(8065),SC_(6.823500307899326592600239536232296999914e-35),SC_(0.999999999999999999999999999999999931765)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(7400),SC_(6.143694779188174664532181043531732390736e-382),SC_(1)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(8197),SC_(2.196969620238744261631579608996504657964e-11),SC_(0.99999999997803030379761255738368420391)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(9066),SC_(2.392808605571506258100931040620965664663e-292),SC_(1)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(7659),SC_(9.864908397518906691400357324055299644024e-199),SC_(1)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(8367),SC_(0.008940500850727833031683102955269025524831),SC_(0.9910594991492721669683168970447309744752)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(7722),SC_(5.639251875364654279561827347396897861953e-164),SC_(1)},
- {SC_(9214),SC_(22320),SC_(24657),SC_(9205),SC_(1.542676519665671321015042144728609471195e-483),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(4820),SC_(1.477063508628490542021440118682826058188e-27),SC_(0.999999999999999999999999998522936491372)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(3410),SC_(3.045373335617048845328113579500020782746e-732),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(2871),SC_(2.241317040202664236604200007822733526021e-1577),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(3636),SC_(2.683599854064377251178684551679527365742e-493),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(3319),SC_(1.059220384879855641700051419405729847713e-843),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(4648),SC_(0.01304651023656202084023981765832181182544),SC_(0.9869534897634379791597601823416781881746)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(5016),SC_(4.119075881733889814385613977586581391744e-127),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(3714),SC_(2.582371744065788637208257378851197609461e-422),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(4256),SC_(4.163937028620596203170694042834733586806e-79),SC_(1)},
- {SC_(5114),SC_(22320),SC_(24657),SC_(3234),SC_(9.15934913376235224214900202826706132587e-957),SC_(1)}
+ static const boost::array<boost::array<T, 8>, 398-104> hypergeometric_test_data = {{
+ //{SC_(1),SC_(1),SC_(2),SC_(1),SC_(0.5),SC_(1),SC_(0.e-40)},
+ {SC_(5),SC_(4),SC_(6),SC_(3),SC_(0.6666666666666666666666666666666666666667),SC_(0.6666666666666666666666666666666666666667),SC_(0.3333333333333333333333333333333333333333)},
+ //{SC_(5),SC_(3),SC_(13),SC_(3),SC_(0.03496503496503496503496503496503496503497),SC_(1),SC_(0.e-40)},
+ {SC_(5),SC_(3),SC_(13),SC_(1),SC_(0.4895104895104895104895104895104895104895),SC_(0.6853146853146853146853146853146853146853),SC_(0.3146853146853146853146853146853146853147)},
+ {SC_(5),SC_(3),SC_(13),SC_(1),SC_(0.4895104895104895104895104895104895104895),SC_(0.6853146853146853146853146853146853146853),SC_(0.3146853146853146853146853146853146853147)},
+ //{SC_(1),SC_(3),SC_(13),SC_(1),SC_(0.2307692307692307692307692307692307692308),SC_(1),SC_(0.e-40)},
+ {SC_(11),SC_(9),SC_(13),SC_(7),SC_(0.4615384615384615384615384615384615384615),SC_(0.4615384615384615384615384615384615384615),SC_(0.5384615384615384615384615384615384615385)},
+ {SC_(11),SC_(9),SC_(13),SC_(8),SC_(0.4615384615384615384615384615384615384615),SC_(0.9230769230769230769230769230769230769231),SC_(0.0769230769230769230769230769230769230769)},
+ {SC_(3),SC_(9),SC_(13),SC_(1),SC_(0.1888111888111888111888111888111888111888),SC_(0.2027972027972027972027972027972027972028),SC_(0.7972027972027972027972027972027972027972)},
+ //{SC_(3),SC_(9),SC_(13),SC_(3),SC_(0.2937062937062937062937062937062937062937),SC_(1),SC_(0.e-40)},
+ {SC_(3),SC_(9),SC_(13),SC_(1),SC_(0.1888111888111888111888111888111888111888),SC_(0.2027972027972027972027972027972027972028),SC_(0.7972027972027972027972027972027972027972)},
+ {SC_(24),SC_(18),SC_(30),SC_(14),SC_(0.3401288366805608184918529746115953012505),SC_(0.5445497031703928255652393583428066186687),SC_(0.4554502968296071744347606416571933813313)},
+ {SC_(24),SC_(18),SC_(30),SC_(14),SC_(0.3401288366805608184918529746115953012505),SC_(0.5445497031703928255652393583428066186687),SC_(0.4554502968296071744347606416571933813313)},
+ {SC_(24),SC_(18),SC_(30),SC_(17),SC_(0.02400909435392194012883668056081849185297),SC_(0.9984438549955791335101679929266136162688),SC_(0.0015561450044208664898320070733863837312)},
+ {SC_(24),SC_(18),SC_(30),SC_(12),SC_(0.03126436781609195402298850574712643678161),SC_(0.03126436781609195402298850574712643678161),SC_(0.9687356321839080459770114942528735632184)},
+ {SC_(24),SC_(18),SC_(30),SC_(13),SC_(0.1731564986737400530503978779840848806366),SC_(0.2044208664898320070733863837312113174182),SC_(0.7955791335101679929266136162687886825818)},
+ {SC_(24),SC_(18),SC_(30),SC_(13),SC_(0.1731564986737400530503978779840848806366),SC_(0.2044208664898320070733863837312113174182),SC_(0.7955791335101679929266136162687886825818)},
+ {SC_(4),SC_(18),SC_(30),SC_(3),SC_(0.357307060755336617405582922824302134647),SC_(0.8883415435139573070607553366174055829228),SC_(0.1116584564860426929392446633825944170772)},
+ {SC_(4),SC_(18),SC_(30),SC_(3),SC_(0.357307060755336617405582922824302134647),SC_(0.8883415435139573070607553366174055829228),SC_(0.1116584564860426929392446633825944170772)},
+ {SC_(4),SC_(18),SC_(30),SC_(2),SC_(0.3684729064039408866995073891625615763547),SC_(0.5310344827586206896551724137931034482759),SC_(0.4689655172413793103448275862068965517241)},
+ {SC_(4),SC_(18),SC_(30),SC_(0),SC_(0.01806239737274220032840722495894909688013),SC_(0.01806239737274220032840722495894909688013),SC_(0.9819376026272577996715927750410509031199)},
+ //{SC_(8),SC_(26),SC_(30),SC_(8),SC_(0.2669220945083014048531289910600255427842),SC_(1),SC_(0.e-40)},
+ {SC_(8),SC_(26),SC_(30),SC_(6),SC_(0.236015325670498084291187739463601532567),SC_(0.2835249042145593869731800766283524904215),SC_(0.7164750957854406130268199233716475095785)},
+ {SC_(8),SC_(26),SC_(30),SC_(4),SC_(0.002554278416347381864623243933588761174968),SC_(0.002554278416347381864623243933588761174968),SC_(0.997445721583652618135376756066411238825)},
+ {SC_(8),SC_(26),SC_(30),SC_(5),SC_(0.04495530012771392081736909323116219667944),SC_(0.04750957854406130268199233716475095785441),SC_(0.9524904214559386973180076628352490421456)},
+ {SC_(17),SC_(26),SC_(30),SC_(14),SC_(0.3225688742930122240467068053274949826674),SC_(0.4094143404488232074438970990695128626163),SC_(0.5905856595511767925561029009304871373837)},
+ //{SC_(17),SC_(26),SC_(30),SC_(17),SC_(0.02609012953840540047436599160737091771575),SC_(1),SC_(0.e-40)},
+ {SC_(17),SC_(26),SC_(30),SC_(15),SC_(0.3870826491516146688560481663929939792009),SC_(0.7964969896004378762999452654625068418172),SC_(0.2035030103995621237000547345374931581828)},
+ {SC_(17),SC_(26),SC_(30),SC_(14),SC_(0.3225688742930122240467068053274949826674),SC_(0.4094143404488232074438970990695128626163),SC_(0.5905856595511767925561029009304871373837)},
+ {SC_(34),SC_(4),SC_(52),SC_(3),SC_(0.3978649921507064364207221350078492935636),SC_(0.8286970172684458398744113029827315541601),SC_(0.1713029827315541601255886970172684458399)},
+ {SC_(34),SC_(4),SC_(52),SC_(3),SC_(0.3978649921507064364207221350078492935636),SC_(0.8286970172684458398744113029827315541601),SC_(0.1713029827315541601255886970172684458399)},
+ {SC_(34),SC_(4),SC_(52),SC_(3),SC_(0.3978649921507064364207221350078492935636),SC_(0.8286970172684458398744113029827315541601),SC_(0.1713029827315541601255886970172684458399)},
+ {SC_(34),SC_(4),SC_(52),SC_(0),SC_(0.01130298273155416012558869701726844583987),SC_(0.01130298273155416012558869701726844583987),SC_(0.9886970172684458398744113029827315541601)},
+ {SC_(9),SC_(4),SC_(52),SC_(1),SC_(0.4102650290885585003232062055591467356173),SC_(0.8661150614091790562378797672915319974144),SC_(0.1338849385908209437621202327084680025856)},
+ //{SC_(9),SC_(4),SC_(52),SC_(4),SC_(0.0004654169360051712992889463477698771816419),SC_(1),SC_(0.e-40)},
+ {SC_(9),SC_(4),SC_(52),SC_(1),SC_(0.4102650290885585003232062055591467356173),SC_(0.8661150614091790562378797672915319974144),SC_(0.1338849385908209437621202327084680025856)},
+ {SC_(9),SC_(4),SC_(52),SC_(1),SC_(0.4102650290885585003232062055591467356173),SC_(0.8661150614091790562378797672915319974144),SC_(0.1338849385908209437621202327084680025856)},
+ //{SC_(49),SC_(9),SC_(52),SC_(9),SC_(0.5584162895927601809954751131221719457014),SC_(1),SC_(0.e-40)},
+ {SC_(49),SC_(9),SC_(52),SC_(8),SC_(0.3677375565610859728506787330316742081448),SC_(0.4415837104072398190045248868778280542986),SC_(0.5584162895927601809954751131221719457014)},
+ {SC_(49),SC_(9),SC_(52),SC_(7),SC_(0.0700452488687782805429864253393665158371),SC_(0.07384615384615384615384615384615384615385),SC_(0.9261538461538461538461538461538461538462)},
+ {SC_(5),SC_(9),SC_(52),SC_(1),SC_(0.4273594053005817711700064641241111829347),SC_(0.7977375565610859728506787330316742081448),SC_(0.2022624434389140271493212669683257918552)},
+ {SC_(5),SC_(9),SC_(52),SC_(0),SC_(0.3703781512605042016806722689075630252101),SC_(0.3703781512605042016806722689075630252101),SC_(0.6296218487394957983193277310924369747899)},
+ {SC_(5),SC_(9),SC_(52),SC_(2),SC_(0.1709437621202327084680025856496444731739),SC_(0.9686813186813186813186813186813186813187),SC_(0.0313186813186813186813186813186813186813)},
+ {SC_(5),SC_(9),SC_(52),SC_(0),SC_(0.3703781512605042016806722689075630252101),SC_(0.3703781512605042016806722689075630252101),SC_(0.6296218487394957983193277310924369747899)},
+ {SC_(5),SC_(9),SC_(52),SC_(2),SC_(0.1709437621202327084680025856496444731739),SC_(0.9686813186813186813186813186813186813187),SC_(0.0313186813186813186813186813186813186813)},
+ //{SC_(12),SC_(72),SC_(86),SC_(12),SC_(0.1004778059022558548188756178036665047061),SC_(1),SC_(0.e-40)},
+ {SC_(12),SC_(72),SC_(86),SC_(5),SC_(0.0003140501443388029590935440038063406068305),SC_(0.0003350533679592531664393366671417525299769),SC_(0.99966494663204074683356066333285824747)},
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+ {SC_(77),SC_(8),SC_(86),SC_(1),SC_(5.224239090042985157965580273765767111892e-8),SC_(5.241200905270397447439494495433837784333e-8),SC_(0.9999999475879909472960255256050550456616)},
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+ //{SC_(77),SC_(8),SC_(86),SC_(8),SC_(0.3965686153374173505799193458109659077391),SC_(1),SC_(0.e-40)},
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+ {SC_(29),SC_(8),SC_(86),SC_(2),SC_(0.2776654865466760379338852901373026884828),SC_(0.4533069814232723951455820812507213754005),SC_(0.5466930185767276048544179187492786245995)},
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+ {SC_(29),SC_(8),SC_(86),SC_(6),SC_(0.01428810393893701738939375420946669065949),SC_(0.9982424429969491410537616929177981024312),SC_(0.0017575570030508589462383070822018975688)},
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+ //{SC_(90),SC_(41),SC_(135),SC_(41),SC_(9.871386192011484832340215364891496674834e-10),SC_(1),SC_(0.e-40)},
+ {SC_(90),SC_(41),SC_(135),SC_(5),SC_(5.265522477647327144962051848320365887239e-19),SC_(5.340712956939061505668577772335340177878e-19),SC_(0.999999999999999999465928704306093849433)},
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+ //{SC_(309),SC_(128),SC_(356),SC_(128),SC_(1.173952568854174209634781519975835814629e-10),SC_(1),SC_(0.e-40)},
+ {SC_(309),SC_(128),SC_(356),SC_(95),SC_(2.523134664906021391827654571209586578814e-7),SC_(3.068494487409635672940571726868111070252e-7),SC_(0.9999996931505512590364327059428273131889)},
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+ {SC_(425),SC_(962),SC_(973),SC_(424),SC_(0.01503533165425620233196465808246627720748),SC_(0.9982697308171144734000862061928627043556),SC_(0.0017302691828855265999137938071372956444)},
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+ {SC_(540),SC_(962),SC_(973),SC_(535),SC_(0.1895661732555605465573127760069913903602),SC_(0.8361800421215626051684275771149104259661),SC_(0.1638199578784373948315724228850895740339)},
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+ //{SC_(453),SC_(334),SC_(973),SC_(320),SC_(3.131175927803977169916713432405745219695e-126),SC_(1),SC_(0.e-40)},
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+ {SC_(453),SC_(334),SC_(973),SC_(15),SC_(4.27439806904807633594722300172024102612e-94),SC_(4.367988093148506690674156367666866626417e-94),SC_(1)},
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+ {SC_(453),SC_(334),SC_(973),SC_(158),SC_(0.05093523942943842194436856352296911381224),SC_(0.6577681435125240236827321826001806186743),SC_(0.3422318564874759763172678173998193813257)},
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+ //{SC_(453),SC_(334),SC_(973),SC_(307),SC_(1.115893441169970912376476440179941658041e-103),SC_(1),SC_(0.e-40)},
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+ {SC_(437),SC_(318),SC_(1209),SC_(91),SC_(0.000249746343620639318300239691547389701761),SC_(0.0006387097424328087819071799019558425578344),SC_(0.9993612902575671912180928200980441574422)},
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+ {SC_(437),SC_(318),SC_(1209),SC_(134),SC_(0.00194550241359619551975486688720863879117),SC_(0.9959039509551882259961399094904303046884),SC_(0.0040960490448117740038600905095696953116)},
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+ //{SC_(437),SC_(318),SC_(1209),SC_(315),SC_(8.745337833902361187545389118026512656014e-183),SC_(1),SC_(0.e-40)},
+ {SC_(437),SC_(318),SC_(1209),SC_(184),SC_(1.307228949356826879223900266059585713681e-20),SC_(0.999999999999999999994796180432579251579),SC_(5.203819567420748421e-21)},
+ {SC_(690),SC_(318),SC_(1209),SC_(37),SC_(3.320625863326094090483393792106638864492e-86),SC_(3.486813684143416952377418163000021290702e-86),SC_(1)},
+ //{SC_(690),SC_(318),SC_(1209),SC_(295),SC_(8.028270602773348094175158677072201916994e-59),SC_(1),SC_(0.e-40)},
+ //{SC_(690),SC_(318),SC_(1209),SC_(217),SC_(7.446847405448950069716275639243476085211e-7),SC_(0.9999992151368775059138538229355824721045),SC_(7.848631224940861461770644175278955e-7)},
+ //{SC_(690),SC_(318),SC_(1209),SC_(234),SC_(8.655813341764919370257475355332168675631e-13),SC_(0.999999999999492800168053859053519679115),SC_(5.07199831946140946480320885e-13)},
+ {SC_(690),SC_(318),SC_(1209),SC_(44),SC_(2.225193268385278826382154176975169922062e-77),SC_(2.368395859994222444389160292498856150859e-77),SC_(1)},
+ {SC_(690),SC_(318),SC_(1209),SC_(129),SC_(2.38378427332930781600974503246401822634e-12),SC_(3.934973888947151527521600631524818827246e-12),SC_(0.999999999996065026111052848472478399368)},
+ {SC_(690),SC_(318),SC_(1209),SC_(107),SC_(5.883202459583277063909486057329520787237e-23),SC_(7.99788786613398647632239208434936393405e-23),SC_(0.999999999999999999999920021121338660135)},
+ //{SC_(690),SC_(318),SC_(1209),SC_(291),SC_(3.387447252601386063089573439124401793154e-54),SC_(1),SC_(0.e-40)},
+ //{SC_(690),SC_(318),SC_(1209),SC_(303),SC_(3.436705085016389481492195392327629935159e-69),SC_(1),SC_(0.e-40)},
+ //{SC_(690),SC_(318),SC_(1209),SC_(232),SC_(5.823171654984571450723327045719220660975e-12),SC_(0.999999999996359036982781341520668192317),SC_(3.640963017218658479331807683e-12)},
+ {SC_(754),SC_(157),SC_(1209),SC_(10),SC_(7.014731528920930361951810768762429681404e-57),SC_(7.215660108865651017830678595247908240443e-57),SC_(1)},
+ {SC_(754),SC_(157),SC_(1209),SC_(21),SC_(2.887208079689564214747175904058519741897e-42),SC_(3.0923605955326645813810452988173375984e-42),SC_(1)},
+ {SC_(754),SC_(157),SC_(1209),SC_(20),SC_(1.92340807552262283205625921172736368573e-43),SC_(2.051525158431003666338693947588178565032e-43),SC_(1)},
+ {SC_(754),SC_(157),SC_(1209),SC_(66),SC_(1.510579165415947337341767267500824992875e-8),SC_(2.407486958664755543046601156111483971513e-8),SC_(0.9999999759251304133524445695339884388852)},
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+ {SC_(754),SC_(157),SC_(1209),SC_(48),SC_(3.336274865105840654390318803892947594077e-18),SC_(4.231951398640858500408212031832569592048e-18),SC_(0.999999999999999995768048601359141499592)},
+ {SC_(972),SC_(157),SC_(1209),SC_(23),SC_(1.256916204055012846327346469934583088434e-86),SC_(1.280543104857283708622078393598734379004e-86),SC_(1)},
+ {SC_(972),SC_(157),SC_(1209),SC_(11),SC_(1.746441258293646773567310499714837545838e-109),SC_(1.758881956444457902473727074497955667871e-109),SC_(1)},
+ {SC_(972),SC_(157),SC_(1209),SC_(156),SC_(3.911317894313098707233226403260859259024e-15),SC_(0.999999999999999914224101648539639734948),SC_(8.5775898351460360265052e-17)},
+ {SC_(972),SC_(157),SC_(1209),SC_(49),SC_(2.903655345315729957508557380199650891209e-49),SC_(3.097571274031110857392766478316885711407e-49),SC_(1)},
+ {SC_(972),SC_(157),SC_(1209),SC_(146),SC_(1.966253266445107381180160844299205213212e-6),SC_(0.9999992988002280865167638533917395359396),SC_(7.011997719134832361466082604640604e-7)},
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+ {SC_(972),SC_(157),SC_(1209),SC_(144),SC_(0.00001981485176354782268456402679318085722013),SC_(0.9999907950124211715622293660375036107191),SC_(9.2049875788284377706339624963892809e-6)},
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+ {SC_(972),SC_(157),SC_(1209),SC_(3),SC_(2.005087090102681754797772599049082315503e-128),SC_(2.008411383539907780338312125871301296826e-128),SC_(1)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(354),SC_(7.903260705042764488301445082606473361127e-173),SC_(8.417880629333124464958707448513829976282e-173),SC_(1)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(525),SC_(2.162810631124519549340581709730147751517e-30),SC_(3.209393798589136518333848434941341569445e-30),SC_(0.999999999999999999999999999996790606201)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(663),SC_(0.001447152885700053794735373991082805537555),SC_(0.9961287857259508667199771183279835477078),SC_(0.0038712142740491332800228816720164522922)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(384),SC_(1.100043121328119195202410338419197081057e-138),SC_(1.202354725833875441303984179115024934866e-138),SC_(1)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(457),SC_(2.028627530496037837927999765314022991323e-72),SC_(2.458531324056423604246901969344101625399e-72),SC_(1)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(332),SC_(1.039890390494686469133943817352555412314e-200),SC_(1.091134024815476999807915065508065049447e-200),SC_(1)},
+ //{SC_(786),SC_(2598),SC_(3198),SC_(723),SC_(9.584044850067058477290355360579073950829e-22),SC_(0.999999999999999999999587791549423554272),SC_(4.12208450576445728e-22)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(235),SC_(5.287293166825105514181323250483161211397e-360),SC_(5.3343535872986423431564523183866543041e-360),SC_(1)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(367),SC_(1.669523421668577782334312791674566033975e-157),SC_(1.796733056974522462455948368840646736733e-157),SC_(1)},
+ {SC_(786),SC_(2598),SC_(3198),SC_(384),SC_(1.100043121328119195202410338419197081057e-138),SC_(1.202354725833875441303984179115024934866e-138),SC_(1)},
+ {SC_(2284),SC_(2598),SC_(3198),SC_(1812),SC_(2.076831972632489091686388421038171046837e-6),SC_(5.354493333876393887982629292665925446059e-6),SC_(0.9999946455066661236061120173707073340746)},
+ {SC_(2284),SC_(2598),SC_(3198),SC_(1848),SC_(0.03043400366814929190463430046897554723115),SC_(0.2426930943591920127852170607127364214983),SC_(0.7573069056408079872147829392872635785017)},
+ {SC_(2284),SC_(2598),SC_(3198),SC_(1692),SC_(1.612952941179119319800540847339295957404e-84),SC_(1.65445368566756829784568201999579763927e-84),SC_(1)},
+ {SC_(2284),SC_(2598),SC_(3198),SC_(1762),SC_(1.477889118594974267435908555057207374771e-23),SC_(2.147014310066440005194093427131433710863e-23),SC_(0.9999999999999999999999785298568993356)},
+ //{SC_(2284),SC_(2598),SC_(3198),SC_(2206),SC_(1.413250104820905541938131192149992173614e-253),SC_(1),SC_(0.e-40)},
+ //{SC_(2284),SC_(2598),SC_(3198),SC_(2207),SC_(3.743653749455626400814053262752372357763e-255),SC_(1),SC_(0.e-40)},
+ //{SC_(2284),SC_(2598),SC_(3198),SC_(2276),SC_(3.355132738483096581505327776882771453977e-391),SC_(1),SC_(0.e-40)},
+ //{SC_(2284),SC_(2598),SC_(3198),SC_(2073),SC_(2.568226642878234234731469207214275586921e-96),SC_(1),SC_(0.e-40)},
+ //{SC_(2284),SC_(2598),SC_(3198),SC_(2120),SC_(1.300039280970278491399563360418008519226e-141),SC_(1),SC_(0.e-40)},
+ {SC_(2284),SC_(2598),SC_(3198),SC_(1870),SC_(0.0137996710604292526669597574510970453016),SC_(0.9332289351942023401992097275568239112338),SC_(0.0667710648057976598007902724431760887662)},
+ {SC_(2714),SC_(2564),SC_(3198),SC_(2153),SC_(0.0007602068090348631169150843040670180316801),SC_(0.00221724930017410584273440242818094113795),SC_(0.9977827506998258941572655975718190588621)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2275),SC_(2.389273478584848197542682700197857941686e-30),SC_(0.999999999999999999999999999999056225002),SC_(9.43774998e-31)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2311),SC_(4.496875877106921733455038361783686733759e-53),SC_(1),SC_(0.e-40)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2481),SC_(5.427452315078316521316606761519937268639e-252),SC_(1),SC_(0.e-40)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2523),SC_(3.28760233821461751336472689613619049464e-332),SC_(1),SC_(0.e-40)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2361),SC_(3.921679538081295786093131327204110370691e-95),SC_(1),SC_(0.e-40)},
+ {SC_(2714),SC_(2564),SC_(3198),SC_(2158),SC_(0.004023946386086623057595170070984435297238),SC_(0.01407047793206240235127460830155934874536),SC_(0.9859295220679375976487253916984406512546)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2444),SC_(5.297510662712953060252841619712357096826e-194),SC_(1),SC_(0.e-40)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2226),SC_(1.024254921782787513607818489358590331848e-9),SC_(0.999999998983989155511863183091944810876),SC_(1.016010844488136816908055189124e-9)},
+ //{SC_(2714),SC_(2564),SC_(3198),SC_(2355),SC_(1.978929781286286216878147108631004914241e-89),SC_(1),SC_(0.e-40)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(420),SC_(7.52805744911035547937873348821232511921e-61),SC_(9.451617680125119619555226733383820418426e-61),SC_(1)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(517),SC_(1.035415089580412942515641975689141390427e-12),SC_(2.039063402388744610887027882654444741063e-12),SC_(0.999999999997960936597611255389112972117)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(611),SC_(0.0009740308940664704470710407807024893489785),SC_(0.9975545460464081603943666566696536662421),SC_(0.0024454539535918396056333433303463337579)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(279),SC_(1.595304181815312276176972504209173730097e-199),SC_(1.678177738130090668227067442053093761348e-199),SC_(1)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(420),SC_(7.52805744911035547937873348821232511921e-61),SC_(9.451617680125119619555226733383820418426e-61),SC_(1)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(504),SC_(5.550807487053911812822058829445386689796e-17),SC_(9.849409209415822224424654722895977955379e-17),SC_(0.999999999999999901505907905841777755753)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(372),SC_(1.605546354870612178740781050646539186862e-98),SC_(1.845937605823900204504036820035159735218e-98),SC_(1)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(571),SC_(0.01343296248841276379815843094254576483911),SC_(0.07353198708249211486109185562092974993258),SC_(0.9264680129175078851389081443790702500674)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(368),SC_(4.384983235539954445467700700515092170797e-102),SC_(5.013351380094734022335274851001595308115e-102),SC_(1)},
+ {SC_(730),SC_(2564),SC_(3198),SC_(158),SC_(6.235660560187736802444553036433270953835e-402),SC_(6.280258997482568173440303376158993204012e-402),SC_(1)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(70),SC_(2.075900101560929841792553796613471100774e-17),SC_(2.460459266799689492021057206125120932409e-17),SC_(0.999999999999999975395407332003105079789)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(31),SC_(9.871285170348988309256098933733531664211e-61),SC_(1.02277976167625044026478937816407960646e-60),SC_(1)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(63),SC_(2.267197108749237594778606213605575779119e-23),SC_(2.578750935327152372426021552106352357734e-23),SC_(0.999999999999999999999974212490646728476)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(42),SC_(6.007346576998807709658897241840197510143e-46),SC_(6.360318241570135121802589412647726196011e-46),SC_(1)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(106),SC_(0.1116804690473795095104669373988381764272),SC_(0.7584676353906888096439200728313197090907),SC_(0.2415323646093111903560799271686802909093)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(100),SC_(0.0503742119970223819663542994283390181172),SC_(0.1287616578083579316935823220930883355539),SC_(0.8712383421916420683064176779069116644461)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(8),SC_(1.136161661575578777389109430583966945594e-100),SC_(1.143856400465436699424699529942978060397e-100),SC_(1)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(39),SC_(9.175753504734590818744774120376180805312e-50),SC_(9.650802483228010632797337380631125909948e-50),SC_(1)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(38),SC_(4.526030374578030397726435764033594085953e-51),SC_(4.750489784934198140525632602549451046364e-51),SC_(1)},
+ {SC_(116),SC_(4934),SC_(5494),SC_(19),SC_(1.14288295995607625399252341664345765015e-79),SC_(1.164114085538017085528413782178340874898e-79),SC_(1)},
+ {SC_(3215),SC_(4934),SC_(5494),SC_(2706),SC_(1.301464585707490814792535362994737105742e-71),SC_(1.48066685396468895689159213319649073755e-71),SC_(1)},
+ //{SC_(3215),SC_(4934),SC_(5494),SC_(3014),SC_(2.778928853125489940813034129923433306267e-30),SC_(0.999999999999999999999999999998477829012),SC_(1.522170988e-30)},
+ {SC_(3215),SC_(4934),SC_(5494),SC_(2775),SC_(2.980705983079855228190799398729048352087e-26),SC_(4.568054515761335768661592313440449747617e-26),SC_(0.999999999999999999999999954319454842387)},
+ {SC_(3215),SC_(4934),SC_(5494),SC_(3004),SC_(5.378089066435558496049070834586693555302e-26),SC_(0.999999999999999999999999966307286850134),SC_(3.3692713149866e-26)},
+ {SC_(3215),SC_(4934),SC_(5494),SC_(2769),SC_(4.575321018475226387137075375185371548035e-29),SC_(6.770307181230632452986350148326352876378e-29),SC_(0.999999999999999999999999999932296928188)},
+ {SC_(3215),SC_(4934),SC_(5494),SC_(2964),SC_(1.832217460276038557251397001240443135099e-12),SC_(0.999999999997907478272135988382633698282),SC_(2.092521727864011617366301718e-12)},
+ {SC_(3215),SC_(4934),SC_(5494),SC_(2863),SC_(0.003192814456943264796090309312301672830727),SC_(0.01529732399678425733294970091036265409296),SC_(0.984702676003215742667050299089637345907)},
+ {SC_(3215),SC_(4934),SC_(5494),SC_(2925),SC_(0.0001126567239667587485681805535995818729655),SC_(0.9997091506136263206825603745115894853285),SC_(0.0002908493863736793174396254884105146715)},
+ //{SC_(3215),SC_(4934),SC_(5494),SC_(2978),SC_(1.493072631611316664630886611666164517391e-16),SC_(0.999999999999999863933229779127230838208),SC_(1.36066770220872769161792e-16)},
+ //{SC_(3215),SC_(4934),SC_(5494),SC_(3135),SC_(1.364144802642130452748715021650473092386e-115),SC_(1),SC_(0.e-40)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(59),SC_(0.02177554343769504321391071983139287817981),SC_(0.9889720983037576750038011653281528633075),SC_(0.0110279016962423249961988346718471366925)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(34),SC_(2.291834910217138046227257852037994292793e-9),SC_(2.826079121524902134800638171700742220719e-9),SC_(0.9999999971739208784750978651993618282993)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(20),SC_(5.589240186641653949455334785805795497732e-22),SC_(6.041538257297753020668486984071999814492e-22),SC_(0.999999999999999999999395846174270224698)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(38),SC_(8.869462684596912381586295236545550772373e-7),SC_(1.172966728086824690764634534551048866175e-6),SC_(0.9999988270332719131753092353654654489511)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(51),SC_(0.08430051884656719121900050667329876824698),SC_(0.2161351933502864992680720821496335588975),SC_(0.7838648066497135007319279178503664411025)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(28),SC_(4.353757770671806099525426427856956157503e-14),SC_(4.999772155653313226775586682549807872326e-14),SC_(0.999999999999950002278443466867732244133)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(59),SC_(0.02177554343769504321391071983139287817981),SC_(0.9889720983037576750038011653281528633075),SC_(0.0110279016962423249961988346718471366925)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(54),SC_(0.1419850808354917019613239285390612426154),SC_(0.6036890800491267250430218325034504954109),SC_(0.3963109199508732749569781674965495045891)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(3),SC_(7.136954483641043093561093598618884335191e-47),SC_(7.193910796612041799520506176766000163643e-47),SC_(1)},
+ {SC_(4679),SC_(63),SC_(5494),SC_(36),SC_(5.137428541711846166022551383288380953976e-8),SC_(6.540826512244440138867446454619929204767e-8),SC_(0.9999999345917348775555986113255354538007)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(55),SC_(0.07515584769838484415224427111536446726427),SC_(0.9064496805743194682928292408977067592803),SC_(0.0935503194256805317071707591022932407197)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(36),SC_(3.006028587230163412087950484735104776256e-6),SC_(4.134445889095858247521380401532958569624e-6),SC_(0.9999958655541109041417524786195984670414)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(7),SC_(1.180925335910771625584177682408114761433e-34),SC_(1.211941484403213408973968966482121921302e-34),SC_(0.999999999999999999999999999999999878806)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(61),SC_(0.0003058214478756612288237352875129947033387),SC_(0.9999528980850807036913573016612812428566),SC_(0.0000471019149192963086426983387187571434)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(30),SC_(5.434404923577365920603519544002198527592e-10),SC_(6.688363101915135304240265747428239721706e-10),SC_(0.999999999331163689808486469575973425257)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(1),SC_(1.107542894346697539367034550776316964086e-45),SC_(1.111193352974940834453276796961305989348e-45),SC_(1)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(52),SC_(0.1308264751086438221424092026318742903987),SC_(0.6067495681363828513659178756682145346319),SC_(0.3932504318636171486340821243317854653681)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(3),SC_(1.612844731098380416414479224652978509006e-41),SC_(1.629469137307708933371779117639634427735e-41),SC_(1)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(7),SC_(1.180925335910771625584177682408114761433e-34),SC_(1.211941484403213408973968966482121921302e-34),SC_(0.999999999999999999999999999999999878806)},
+ {SC_(4498),SC_(63),SC_(5494),SC_(31),SC_(2.681268904938900886084410840737050460789e-9),SC_(3.35010521513041441650843741547987443296e-9),SC_(0.9999999966498947848695855834915625845201)},
+ {SC_(4927),SC_(5709),SC_(15582),SC_(1006),SC_(6.339234104612103924818478600804223240535e-190),SC_(9.381728684405531114969361200221656280534e-190),SC_(1)},
+ //{SC_(4927),SC_(5709),SC_(15582),SC_(3075),SC_(3.677152045501920304167491485472390252599e-444),SC_(1),SC_(0.e-40)},
+ //{SC_(4927),SC_(5709),SC_(15582),SC_(1930),SC_(7.021619514016001433795351034994363459872e-7),SC_(0.9999961074340315071158318618094539709261),SC_(3.8925659684928841681381905460290739e-6)},
+ //{SC_(4927),SC_(5709),SC_(15582),SC_(3670),SC_(3.023889360679502938528761389063297095916e-974),SC_(1),SC_(0.e-40)},
+ //{SC_(4927),SC_(5709),SC_(15582),SC_(3396),SC_(1.518102375990395835193698956978291603351e-701),SC_(1),SC_(0.e-40)},
+ //{SC_(4927),SC_(5709),SC_(15582),SC_(4252),SC_(3.59537869952930700205997971685748921757e-1747),SC_(1),SC_(0.e-40)},
+ //{SC_(4927),SC_(5709),SC_(15582),SC_(2892),SC_(3.296953405682328274817830825632043002187e-325),SC_(1),SC_(0.e-40)},
+ //{SC_(4927),SC_(5709),SC_(15582),SC_(4634),SC_(2.939967325749253243319695099153624196492e-2452),SC_(1),SC_(0.e-40)},
+ {SC_(4927),SC_(5709),SC_(15582),SC_(566),SC_(9.658759281646508651392504855467279628581e-481),SC_(1.121789646189748754673629264448480612184e-480),SC_(1)},
+ {SC_(4927),SC_(5709),SC_(15582),SC_(578),SC_(1.539338296002620482584150731931745370605e-470),SC_(1.796125390374408977243663785953386517648e-470),SC_(1)},
+ {SC_(12463),SC_(5709),SC_(15582),SC_(3478),SC_(1.006405922085765327249426805877543752218e-434),SC_(1.189508163301917338844808154550173850989e-434),SC_(1)},
+ {SC_(12463),SC_(5709),SC_(15582),SC_(3102),SC_(1.801588237261977931271087511792575138713e-806),SC_(1.926905984951753467315647688105897884209e-806),SC_(1)},
+ //{SC_(12463),SC_(5709),SC_(15582),SC_(4836),SC_(1.279500290415770784796394928901921281391e-30),SC_(0.999999999999999999999999999997992139054),SC_(2.007860946e-30)},
+ //{SC_(12463),SC_(5709),SC_(15582),SC_(5672),SC_(8.211075716556983834494281939126325961014e-631),SC_(1),SC_(0.e-40)},
+ {SC_(12463),SC_(5709),SC_(15582),SC_(2739),SC_(7.942740543104711231249902212637227645973e-1338),SC_(8.056526098952320234215083963959077928992e-1338),SC_(1)},
+ //{SC_(12463),SC_(5709),SC_(15582),SC_(5691),SC_(2.469075354107191191986179778263512079e-668),SC_(1),SC_(0.e-40)},
+ {SC_(12463),SC_(5709),SC_(15582),SC_(2722),SC_(9.779333008745284830383984850117446014205e-1370),SC_(9.901538457186077459455392963727220943833e-1370),SC_(1)},
+ {SC_(12463),SC_(5709),SC_(15582),SC_(3463),SC_(5.30615834698657866630857578903211416722e-447),SC_(6.238314045857898958032074360456653750184e-447),SC_(1)},
+ {SC_(12463),SC_(5709),SC_(15582),SC_(3065),SC_(3.401470422855740308061231647970018418367e-851),SC_(3.613018073107107137747060327519176948069e-851),SC_(1)},
+ //{SC_(12463),SC_(5709),SC_(15582),SC_(5669),SC_(2.357007720699358431877989506299284244468e-625),SC_(1),SC_(0.e-40)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(3263),SC_(4.435321459779290899993711683502778935079e-45),SC_(9.740316269301809627744830862498348157159e-45),SC_(1)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(2797),SC_(1.633335582290992118308319188940666290148e-251),SC_(2.142953554897797330733201509747662022608e-251),SC_(1)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(2691),SC_(5.495849840533559961957052425968731722353e-322),SC_(6.836845529230566706607480161453931176945e-322),SC_(1)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(2431),SC_(1.993828118934155932497960035027714551599e-533),SC_(2.263920531776472531722580833266889159382e-533),SC_(1)},
+ //{SC_(4438),SC_(12575),SC_(15582),SC_(4311),SC_(1.179187250020158315490073292121582351995e-305),SC_(1),SC_(0.e-40)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(2326),SC_(3.299330524432867192121564820200580059945e-635),SC_(3.650095231694719949668862317327622630577e-635),SC_(1)},
+ //{SC_(4438),SC_(12575),SC_(15582),SC_(3779),SC_(2.811813909295360559735426635527205346905e-20),SC_(0.999999999999999999947768931875694491675),SC_(5.2231068124305508325e-20)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(2273),SC_(2.121966223891087340540365503793597463055e-690),SC_(2.320974324298723210214732910188800714753e-690),SC_(1)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(1704),SC_(4.26047773610794944627559108769983951047e-1481),SC_(4.328185563225618905397135819823042898001e-1481),SC_(1)},
+ {SC_(4438),SC_(12575),SC_(15582),SC_(3187),SC_(2.702643231114555571113233202034373770661e-67),SC_(5.150995278963108588055631364450502244211e-67),SC_(1)},
+ {SC_(11491),SC_(12575),SC_(15582),SC_(8946),SC_(1.703165566721353814922501297682510774634e-56),SC_(3.075137845246061197300125409500262963551e-56),SC_(1)},
+ //{SC_(11491),SC_(12575),SC_(15582),SC_(10716),SC_(4.143757744937962174939769535710512245796e-865),SC_(1),SC_(0.e-40)},
+ //{SC_(11491),SC_(12575),SC_(15582),SC_(11146),SC_(3.445253481408347317737434293597176336291e-1499),SC_(1),SC_(0.e-40)},
+ //{SC_(11491),SC_(12575),SC_(15582),SC_(10556),SC_(1.244863949482443666518124566788365799282e-682),SC_(1),SC_(0.e-40)},
+ //{SC_(11491),SC_(12575),SC_(15582),SC_(10713),SC_(1.872268680237180672431400271923629604662e-861),SC_(1),SC_(0.e-40)},
+ //{SC_(11491),SC_(12575),SC_(15582),SC_(11404),SC_(2.623521946917958826310697056679792248359e-2035),SC_(1),SC_(0.e-40)},
+ {SC_(11491),SC_(12575),SC_(15582),SC_(8611),SC_(5.902950421727860032307027070001849738945e-266),SC_(6.527272372809071671043471044598854410339e-266),SC_(1)},
+ //{SC_(11491),SC_(12575),SC_(15582),SC_(9382),SC_(8.350769503138113607048006351288674200386e-8),SC_(0.9999996811470715898090812142957207291651),SC_(3.188529284101909187857042792708349e-7)},
+ //{SC_(11491),SC_(12575),SC_(15582),SC_(10093),SC_(1.525454564673778577778516320623498508002e-283),SC_(1),SC_(0.e-40)},
+ {SC_(11491),SC_(12575),SC_(15582),SC_(8616),SC_(6.463719063528862326901595813952505767646e-261),SC_(7.180069731161748312282673058422249863972e-261),SC_(1)},
+ //{SC_(4716),SC_(7375),SC_(30916),SC_(2123),SC_(1.051598000012254716392485236070905585228e-268),SC_(1),SC_(0.e-40)},
+ //{SC_(4716),SC_(7375),SC_(30916),SC_(1391),SC_(6.397691613869390399471557572785519528862e-23),SC_(0.999999999999999999999847139456387039014),SC_(1.52860543612960986e-22)},
+ {SC_(4716),SC_(7375),SC_(30916),SC_(802),SC_(9.63468927291374065983956254885634959026e-36),SC_(2.470316012686340183657552031377716990407e-35),SC_(0.999999999999999999999999999999999975297)},
+ //{SC_(4716),SC_(7375),SC_(30916),SC_(1822),SC_(1.14085183245777964221003544061732820553e-135),SC_(1),SC_(0.e-40)},
+ //{SC_(4716),SC_(7375),SC_(30916),SC_(1909),SC_(1.206331285434620553935142382532461215726e-169),SC_(1),SC_(0.e-40)},
+ //{SC_(4716),SC_(7375),SC_(30916),SC_(2836),SC_(1.705760756379935137738292356686227831161e-756),SC_(1),SC_(0.e-40)},
+ //{SC_(4716),SC_(7375),SC_(30916),SC_(4456),SC_(1.711211733109732363933699044037411967215e-2965),SC_(1),SC_(0.e-40)},
+ //{SC_(4716),SC_(7375),SC_(30916),SC_(1920),SC_(3.348573725136031902872466248413502832256e-174),SC_(1),SC_(0.e-40)},
+ {SC_(4716),SC_(7375),SC_(30916),SC_(999),SC_(2.138122084622344367578512770528568747903e-7),SC_(1.25417155689383511127926419540770446068e-6),SC_(0.9999987458284431061648887207358045922955)},
+ {SC_(4716),SC_(7375),SC_(30916),SC_(874),SC_(2.821590510628816486988008063151194817168e-22),SC_(9.004100327904705235159583716808495439711e-22),SC_(0.999999999999999999999099589967209529476)},
+ {SC_(15559),SC_(7375),SC_(30916),SC_(2191),SC_(2.413371615050103770980626165031023930979e-368),SC_(3.556509829562483740914436969008727592467e-368),SC_(1)},
+ {SC_(15559),SC_(7375),SC_(30916),SC_(1005),SC_(9.894980874153372595761820694699023799935e-1236),SC_(1.096258863414571957167577684620602424505e-1235),SC_(1)},
+ {SC_(15559),SC_(7375),SC_(30916),SC_(2746),SC_(4.118337082904282114829472199943034115996e-148),SC_(8.174104688972092189023381983494630349758e-148),SC_(1)},
+ {SC_(15559),SC_(7375),SC_(30916),SC_(3194),SC_(3.183471994948445071033289373223870925742e-44),SC_(1.024132845469072232573725203929695789012e-43),SC_(1)},
+ //{SC_(15559),SC_(7375),SC_(30916),SC_(7300),SC_(6.77164027932829532370109212260862859305e-2502),SC_(1),SC_(0.e-40)},
+ //{SC_(15559),SC_(7375),SC_(30916),SC_(6833),SC_(4.1396195968933323171054600327897582287e-1727),SC_(1),SC_(0.e-40)},
+ {SC_(15559),SC_(7375),SC_(30916),SC_(219),SC_(1.881993729177212164637026875271803426257e-2271),SC_(1.913288470864454992848774406953287553205e-2271),SC_(1)},
+ {SC_(15559),SC_(7375),SC_(30916),SC_(1946),SC_(6.059304806185264237722374088214508359474e-500),SC_(8.202297432646816246455573369592948373176e-500),SC_(1)},
+ //{SC_(15559),SC_(7375),SC_(30916),SC_(4530),SC_(4.852465934382930186442067232117977677403e-107),SC_(1),SC_(0.e-40)},
+ //{SC_(15559),SC_(7375),SC_(30916),SC_(5431),SC_(6.278064131566577219092533432665204627255e-475),SC_(1),SC_(0.e-40)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(23921),SC_(5.01571344812621193474425641386483940301e-149),SC_(1),SC_(0.e-40)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(23731),SC_(3.894076550564398247369316726697188054062e-29),SC_(0.999999999999999999999999999973526541057),SC_(2.6473458943e-29)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(23948),SC_(9.022982528814208465718080395862041827201e-174),SC_(1),SC_(0.e-40)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(23785),SC_(6.501467887055533489989990433122758223866e-54),SC_(1),SC_(0.e-40)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(24127),SC_(1.211500213651858537165259088551713152938e-408),SC_(1),SC_(0.e-40)},
+ {SC_(24162),SC_(30197),SC_(30916),SC_(23574),SC_(0.002023261955389159984206469053893655644769),SC_(0.008763296757879097076121904722363852118327),SC_(0.9912367032421209029238780952776361478817)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(24103),SC_(1.502246684732592841317797329598945415434e-366),SC_(1),SC_(0.e-40)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(23909),SC_(1.089392278845805508791127031194856769452e-138),SC_(1),SC_(0.e-40)},
+ {SC_(24162),SC_(30197),SC_(30916),SC_(23557),SC_(9.957825121836800401583387727523356183938e-6),SC_(0.00002883229031890871323816650314839586412251),SC_(0.9999711677096810912867618334968516041359)},
+ //{SC_(24162),SC_(30197),SC_(30916),SC_(23936),SC_(1.630337789888062205675224945299028404172e-162),SC_(1),SC_(0.e-40)},
+ //{SC_(10811),SC_(30197),SC_(30916),SC_(10705),SC_(4.214045751475557604377397079532975048913e-35),SC_(0.999999999999999999999999999999999980825),SC_(1.9175e-35)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10582),SC_(0.006534800831460427393593310723134559529149),SC_(0.9658894847256837655400445750384213508154),SC_(0.0341105152743162344599554249615786491846)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10101),SC_(5.964481460925906600293895095971574740803e-313),SC_(6.002643903347307383282629300548537979569e-313),SC_(1)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10521),SC_(0.0003201276134018164345968425589560100704715),SC_(0.001414856594141071402937765727589764302753),SC_(0.9985851434058589285970622342724102356972)},
+ //{SC_(10811),SC_(30197),SC_(30916),SC_(10794),SC_(1.798503936868023925360898291540942571343e-107),SC_(1),SC_(0.e-40)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10167),SC_(2.21474798565952254789052561462298471985e-210),SC_(2.353519890373409235647877343002777258109e-210),SC_(1)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10226),SC_(1.723644214696431707714898254406246310588e-147),SC_(1.951895832131084667079719129033853235618e-147),SC_(1)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10176),SC_(1.32687759331156231792363873935966188326e-199),SC_(1.422254878584869415443690163035370486592e-199),SC_(1)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10264),SC_(6.680128539884872883498465278631658091013e-115),SC_(7.965521820715383925417088201148941207152e-115),SC_(1)},
+ {SC_(10811),SC_(30197),SC_(30916),SC_(10443),SC_(7.641514565676484825234423253217707077378e-20),SC_(1.528376558915782740567832769458233142503e-19),SC_(0.999999999999999999847162344108421725943)}
}};
#undef SC_
+
Modified: sandbox/math_toolkit/libs/math/test/test_hypergeometric_dist.cpp
==============================================================================
--- sandbox/math_toolkit/libs/math/test/test_hypergeometric_dist.cpp (original)
+++ sandbox/math_toolkit/libs/math/test/test_hypergeometric_dist.cpp 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
@@ -1,4 +1,4 @@
-// Copyright John Maddock
+// Copyright John Maddock 2008
// Copyright Paul A. Bristow
// Copyright Gautam Sewani
@@ -60,6 +60,20 @@
".*", // compiler
".*", // stdlib
".*", // platform
+ "real_concept", // test type(s)
+ "Random.*", // test data group
+ ".*", 250000000, 25000000); // test function
+ add_expected_result(
+ ".*", // compiler
+ ".*", // stdlib
+ ".*", // platform
+ largest_type, // test type(s)
+ "Random.*", // test data group
+ ".*", 10000000, 5000000); // test function
+ add_expected_result(
+ ".*", // compiler
+ ".*", // stdlib
+ ".*", // platform
largest_type, // test type(s)
".*", // test data group
".*", 50, 20); // test function
@@ -84,6 +98,20 @@
}
template <class T>
+T cdf_tester(T r, T n, T N, T x)
+{
+ boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+ return cdf(d, x);
+}
+
+template <class T>
+T ccdf_tester(T r, T n, T N, T x)
+{
+ boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+ return cdf(complement(d, x));
+}
+
+template <class T>
void do_test_hypergeometric(const T& data, const char* type_name, const char* test_name)
{
typedef typename T::value_type row_type;
@@ -109,6 +137,36 @@
bind_func(funcp, 0, 1, 2, 3),
extract_result(4));
handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric PDF", test_name);
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+ funcp = cdf_tester<value_type>;
+#else
+ funcp = cdf_tester;
+#endif
+
+ //
+ // test hypergeometric against data:
+ //
+ result = boost::math::tools::test(
+ data,
+ bind_func(funcp, 0, 1, 2, 3),
+ extract_result(5));
+ handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric CDF", test_name);
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+ funcp = ccdf_tester<value_type>;
+#else
+ funcp = ccdf_tester;
+#endif
+
+ //
+ // test hypergeometric against data:
+ //
+ result = boost::math::tools::test(
+ data,
+ bind_func(funcp, 0, 1, 2, 3),
+ extract_result(6));
+ handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric CDF complement", test_name);
std::cout << std::endl;
}
@@ -182,6 +240,15 @@
#include "hypergeometric_test_data.ipp"
do_test_hypergeometric(hypergeometric_test_data, type_name, "Mathematica data");
+ if(boost::is_floating_point<RealType>::value)
+ {
+ //
+ // Don't test this for real_concept: it's too slow!!!
+ //
+#include "hypergeometric_dist_data2.ipp"
+ do_test_hypergeometric(hypergeometric_dist_data2, type_name, "Random large data");
+ }
+
RealType tolerance = (std::max)(
static_cast<RealType>(2e-16L), // limit of test data
boost::math::tools::epsilon<RealType>());
Added: sandbox/math_toolkit/libs/math/tools/hypergeometric_dist_data.cpp
==============================================================================
--- (empty file)
+++ sandbox/math_toolkit/libs/math/tools/hypergeometric_dist_data.cpp 2009-01-15 07:34:26 EST (Thu, 15 Jan 2009)
@@ -0,0 +1,100 @@
+// (C) Copyright John Maddock 2009.
+// 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)
+
+//#define BOOST_MATH_INSTRUMENT
+
+#include <boost/math/bindings/rr.hpp>
+#include <boost/test/included/test_exec_monitor.hpp>
+#include <boost/math/distributions/hypergeometric.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/random/uniform_int.hpp>
+#include <fstream>
+
+#include <boost/math/tools/test_data.hpp>
+
+using namespace boost::math::tools;
+
+std::tr1::mt19937 rnd;
+
+struct hypergeometric_generator
+{
+ std::tr1::tuple<
+ boost::math::ntl::RR,
+ boost::math::ntl::RR,
+ boost::math::ntl::RR,
+ boost::math::ntl::RR,
+ boost::math::ntl::RR,
+ boost::math::ntl::RR,
+ boost::math::ntl::RR> operator()(boost::math::ntl::RR rN, boost::math::ntl::RR rr, boost::math::ntl::RR rn)
+ {
+ using namespace std;
+ using namespace boost;
+ using namespace boost::math;
+
+ if((rr > rN) || (rr < rn))
+ throw std::domain_error("");
+
+ try{
+ int N = itrunc(rN);
+ int r = itrunc(rr);
+ int n = itrunc(rn);
+ uniform_int<> ui((std::max)(0, n + r - N), (std::min)(n, r));
+ int k = ui(rnd);
+
+ hypergeometric_distribution<ntl::RR> d(r, n, N);
+
+ ntl::RR p = pdf(d, k);
+ if((p == 1) || (p == 0))
+ {
+ // trivial case, don't clutter up our table with it:
+ throw std::domain_error("");
+ }
+ ntl::RR c = cdf(d, k);
+ ntl::RR cc = cdf(complement(d, k));
+
+ std::cout << "N = " << N << " r = " << r << " n = " << n << " PDF = " << p << " CDF = " << c << " CCDF = " << cc << std::endl;
+
+ return tr1::make_tuple(r, n, N, k, p, c, cc);
+ }
+ catch(const std::exception& e)
+ {
+ std::cout << e.what() << std::endl;
+ throw std::domain_error("");
+ }
+ }
+};
+
+int test_main(int argc, char*argv [])
+{
+ boost::math::ntl::RR::SetPrecision(1000);
+ boost::math::ntl::RR::SetOutputPrecision(100);
+
+ std::string line;
+ parameter_info<boost::math::ntl::RR> arg1, arg2, arg3;
+ test_data<boost::math::ntl::RR> data;
+
+ std::cout << "Welcome.\n"
+ "This program will generate spot tests hypergeoemtric distribution:\n";
+
+ arg1 = make_power_param(boost::math::ntl::RR(0), 1, 21);
+ arg2 = make_power_param(boost::math::ntl::RR(0), 1, 21);
+ arg3 = make_power_param(boost::math::ntl::RR(0), 1, 21);
+
+ arg1.type |= dummy_param;
+ arg2.type |= dummy_param;
+ arg3.type |= dummy_param;
+
+ data.insert(hypergeometric_generator(), arg1, arg2, arg3);
+
+ line = "hypergeometric_dist_data2.ipp";
+ std::ofstream ofs(line.c_str());
+ write_code(ofs, data, "hypergeometric_dist_data2");
+
+ return 0;
+}
+
Boost-Commit list run by bdawes at acm.org, david.abrahams at rcn.com, gregod at cs.rpi.edu, cpdaniel at pacbell.net, john at johnmaddock.co.uk