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Subject: [Boost-commit] svn:boost r83344 - in trunk/libs/math/doc/sf_and_dist: . html html/index html/math_toolkit html/math_toolkit/constants/tutorial html/math_toolkit/main_overview html/math_toolkit/special/bessel html/math_toolkit/status html/math_toolkit/using_udt html/math_toolkit/using_udt/high_precision
From: john_at_[hidden]
Date: 2013-03-07 05:14:21

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Author: johnmaddock
Date: 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
New Revision: 83344
URL: http://svn.boost.org/trac/boost/changeset/83344

Log:
Update docs for __float128 support.
REgenerate docs and commit.
Added:
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision.html (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/e_float.html (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/float128.html (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_mpfr.html (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_multiprecision.html (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_ntl.html (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/using_test.html (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/why_high_precision.html (contents, props changed)
Text files modified:
   trunk/libs/math/doc/sf_and_dist/concepts.qbk | 13 +++++
   trunk/libs/math/doc/sf_and_dist/constants.qbk | 4 +
   trunk/libs/math/doc/sf_and_dist/html/index.html | 4 +
   trunk/libs/math/doc/sf_and_dist/html/index/s13.html | 27 ++++++----
   trunk/libs/math/doc/sf_and_dist/html/index/s14.html | 12 ++--
   trunk/libs/math/doc/sf_and_dist/html/index/s15.html | 12 ++--
   trunk/libs/math/doc/sf_and_dist/html/index/s16.html | 10 ++--
   trunk/libs/math/doc/sf_and_dist/html/index/s17.html | 97 ++++++++++++++++++++++++++-------------
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/tutorial/user_def.html | 7 ++
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html | 8 +-
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html | 35 ++++++++++++-
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html | 8 +-
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel0.html | 52 +++++++++++++-------
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html | 35 ++++++++++++-
   trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html | 2
   trunk/libs/math/doc/sf_and_dist/roadmap.qbk | 1
   16 files changed, 230 insertions(+), 97 deletions(-)

Modified: trunk/libs/math/doc/sf_and_dist/concepts.qbk
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/concepts.qbk (original)
+++ trunk/libs/math/doc/sf_and_dist/concepts.qbk 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -8,6 +8,7 @@
* __NTL
* __GMP
* __MPFR
+* __float128

The last four have some license restrictions;
only __multiprecision when using the `cpp_float` backend
@@ -116,6 +117,18 @@

[endsect] [/section:use_multiprecision Using Boost.Multiprecision]

+[section:float128 Using with GCC's __float128 datatype]
+
+At present support for GCC's native `__float128` datatype is extremely limited: the numeric constants
+will all work with that type, and that's about it. If you want to use the distributions or special
+functions then you will need to provide your own wrapper header that:
+
+* Provides std::numeric_limits<__float128> support.
+* Provides overloads of the standard library math function for type __float128 and which forward to the libquadmath equivalents.
+
+Ultimately these facilities should be provided by GCC and libstdc++.
+
+[endsect]

[section:use_mpfr Using With MPFR or GMP - High-Precision Floating-Point Library]

Modified: trunk/libs/math/doc/sf_and_dist/constants.qbk
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/constants.qbk (original)
+++ trunk/libs/math/doc/sf_and_dist/constants.qbk 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -170,6 +170,10 @@
    * If the precision is less than or equal to that of a `long double` and the type is constructable from a `long double`
      then our code returns a `long double` literal. If the user-defined type is a literal type
      then the function call that returns the constant will be a `constexp`.
+ * If the precision is less than or equal to that of a `__float128` (and the compiler supports such a type)
+ and the type is constructable from a `__float128`
+ then our code returns a `__float128` literal. If the user-defined type is a literal type
+ then the function call that returns the constant will be a `constexp`.
    * If the precision is less than 100 decimal digits, then the constant will be constructed
       (just the once, then cached in a thread-safe manner) from a string representation of the constant.
       In this case the value is returned as a const reference to the cached value.

Modified: trunk/libs/math/doc/sf_and_dist/html/index.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -493,6 +493,8 @@
 use a high-precision library rather than built-in floating-point types?</a></dt>
<dt><a href="math_toolkit/using_udt/high_precision/use_multiprecision.html">Using
 Boost.Multiprecision</a></dt>
+<dt><a href="math_toolkit/using_udt/high_precision/float128.html">Using
+ with GCC's __float128 datatype</a></dt>
<dt><a href="math_toolkit/using_udt/high_precision/use_mpfr.html">Using
 With MPFR or GMP - High-Precision Floating-Point Library</a></dt>
<dt><a href="math_toolkit/using_udt/high_precision/e_float.html">Using
@@ -597,7 +599,7 @@
 
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left">Last revised: February 15, 2013 at 18:45:01 GMT</td>
+<td align="left">Last revised: March 07, 2013 at 09:36:37 GMT</td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

Modified: trunk/libs/math/doc/sf_and_dist/html/index/s13.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s13.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s13.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="../math_toolkit/status/credits.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s14.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1362252">
+<div class="section id1346486">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1362252"></a>Function Index</h2></div></div></div>
+<a name="id1346486"></a>Function Index</h2></div></div></div>
<a class="link" href="s13.html#idx_id_0">A</a> <a class="link" href="s13.html#idx_id_1">B</a> <a class="link" href="s13.html#idx_id_2">C</a> <a class="link" href="s13.html#idx_id_3">D</a> <a class="link" href="s13.html#idx_id_4">E</a> <a class="link" href="s13.html#idx_id_5">F</a> <a class="link" href="s13.html#idx_id_6">G</a> <a class="link" href="s13.html#idx_id_7">H</a> <a class="link" href="s13.html#idx_id_8">I</a> <a class="link" href="s13.html#idx_id_9">J</a> <a class="link" href="s13.html#idx_id_10">K</a> <a class="link" href="s13.html#idx_id_11">L</a> <a class="link" href="s13.html#idx_id_12">M</a> <a class="link" href="s13.html#idx_id_13">N</a> <a class="link" href="s13.html#idx_id_14">O</a> <a class="link" href="s13.html#idx_id_15">P</a> <a class="link" href="s13.html#idx_id_16">Q</a> <a class="link" href="s13.html#idx_id_17">R</a> <a class="link" href="s13.html#idx_id_18">S</a> <a class="link" href="s13.html#idx_id_19">T</a> <a class="link" href="s13.html#idx_id_20">U</a> <a class="link" href=
"s13.html#idx_id_21">V</a> <a class="link" href="s13.html#idx_id_22">W</a> <a class="link" href="s13.html#idx_id_23">Z</a>
<div class="variablelist"><dl class="variablelist">
<dt>
@@ -460,6 +460,10 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+cyl_bessel_j_zero
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/special/bessel/bessel0.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds">Finding Zeros of Bessel Functions of the First and Second Kinds</a></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
cyl_bessel_k
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and C++ TR1 C-style Functions">C99 and C++ TR1 C-style Functions</a></li>
@@ -509,6 +513,10 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">TR1 C Functions Quick Reference</a></li>
</ul></div>
</li>
+<li class="listitem" style="list-style-type: none">
+cyl_neumann_zero
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/special/bessel/bessel0.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds">Finding Zeros of Bessel Functions of the First and Second Kinds</a></li></ul></div>
+</li>
</ul></div></dd>
<dt>
<a name="idx_id_3"></a>D
@@ -772,7 +780,7 @@
</li>
<li class="listitem" style="list-style-type: none">
e_float
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/e_float.html" title="e_float Support">e_float Support</a></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/e_float.html" title="Using e_float Library">Using e_float Library</a></li></ul></div>
</li>
</ul></div></dd>
<dt>
@@ -986,7 +994,7 @@
get
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants">Defining New Constants</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">Use With User Defined Types</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">Use With User-Defined Types</a></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
@@ -1611,6 +1619,7 @@
<li class="listitem" style="list-style-type: none">
mean
<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples">Distribution Construction Examples</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">Find Location (Mean) Example</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html" title="Find Scale (Standard Deviation) Example">Find Scale (Standard Deviation) Example</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/geometric_dist.html" title="Geometric Distribution">Geometric Distribution</a></li>
@@ -1923,10 +1932,6 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/extern_c/c99.html" title="C99 C Functions">C99 C Functions</a></li>
</ul></div>
</li>
-<li class="listitem" style="list-style-type: none">
-RR
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></li></ul></div>
-</li>
</ul></div></dd>
<dt>
<a name="idx_id_18"></a>S
@@ -2360,9 +2365,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/index/s14.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s14.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s14.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s13.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s15.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1378718">
+<div class="section id1363831">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1378718"></a>Class Index</h2></div></div></div>
+<a name="id1363831"></a>Class Index</h2></div></div></div>
<a class="link" href="s14.html#idx_id_25">B</a> <a class="link" href="s14.html#idx_id_26">C</a> <a class="link" href="s14.html#idx_id_27">D</a> <a class="link" href="s14.html#idx_id_28">E</a> <a class="link" href="s14.html#idx_id_29">F</a> <a class="link" href="s14.html#idx_id_30">G</a> <a class="link" href="s14.html#idx_id_31">H</a> <a class="link" href="s14.html#idx_id_32">I</a> <a class="link" href="s14.html#idx_id_35">L</a> <a class="link" href="s14.html#idx_id_36">M</a> <a class="link" href="s14.html#idx_id_37">N</a> <a class="link" href="s14.html#idx_id_39">P</a> <a class="link" href="s14.html#idx_id_41">R</a> <a class="link" href="s14.html#idx_id_42">S</a> <a class="link" href="s14.html#idx_id_43">T</a> <a class="link" href="s14.html#idx_id_44">U</a> <a class="link" href="s14.html#idx_id_46">W</a>
<div class="variablelist"><dl class="variablelist">
<dt>
@@ -46,7 +46,7 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">chi_squared_distribution</a></li>
<li class="listitem" style="list-style-type: none">
construction_traits
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">Use With User Defined Types</a></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">Use With User-Defined Types</a></li></ul></div>
</li>
</ul></div></dd>
<dt>
@@ -230,9 +230,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/index/s15.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s15.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s15.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s14.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s16.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1381434">
+<div class="section id1364772">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1381434"></a>Typedef Index</h2></div></div></div>
+<a name="id1364772"></a>Typedef Index</h2></div></div></div>
<a class="link" href="s15.html#idx_id_48">A</a> <a class="link" href="s15.html#idx_id_49">B</a> <a class="link" href="s15.html#idx_id_50">C</a> <a class="link" href="s15.html#idx_id_51">D</a> <a class="link" href="s15.html#idx_id_52">E</a> <a class="link" href="s15.html#idx_id_53">F</a> <a class="link" href="s15.html#idx_id_54">G</a> <a class="link" href="s15.html#idx_id_55">H</a> <a class="link" href="s15.html#idx_id_56">I</a> <a class="link" href="s15.html#idx_id_59">L</a> <a class="link" href="s15.html#idx_id_61">N</a> <a class="link" href="s15.html#idx_id_62">O</a> <a class="link" href="s15.html#idx_id_63">P</a> <a class="link" href="s15.html#idx_id_65">R</a> <a class="link" href="s15.html#idx_id_66">S</a> <a class="link" href="s15.html#idx_id_67">T</a> <a class="link" href="s15.html#idx_id_68">U</a> <a class="link" href="s15.html#idx_id_69">V</a> <a class="link" href="s15.html#idx_id_70">W</a>
<div class="variablelist"><dl class="variablelist">
<dt>
@@ -197,7 +197,7 @@
<li class="listitem" style="list-style-type: none">
negative_binomial
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples">Distribution Construction Examples</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative Binomial Distribution</a></li>
</ul></div>
</li>
@@ -390,9 +390,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/index/s16.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s16.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s16.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s15.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s17.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1383251">
+<div class="section id1367681">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1383251"></a>Macro Index</h2></div></div></div>
+<a name="id1367681"></a>Macro Index</h2></div></div></div>
<a class="link" href="s16.html#idx_id_73">B</a> <a class="link" href="s16.html#idx_id_77">F</a>
<div class="variablelist"><dl class="variablelist">
<dt>
@@ -288,9 +288,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/index/s17.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s17.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s17.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -21,9 +21,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s16.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a>
</div>
-<div class="section id893915">
+<div class="section id855986">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id893915"></a>Index</h2></div></div></div>
+<a name="id855986"></a>Index</h2></div></div></div>
<a class="link" href="s17.html#idx_id_96">A</a> <a class="link" href="s17.html#idx_id_97">B</a> <a class="link" href="s17.html#idx_id_98">C</a> <a class="link" href="s17.html#idx_id_99">D</a> <a class="link" href="s17.html#idx_id_100">E</a> <a class="link" href="s17.html#idx_id_101">F</a> <a class="link" href="s17.html#idx_id_102">G</a> <a class="link" href="s17.html#idx_id_103">H</a> <a class="link" href="s17.html#idx_id_104">I</a> <a class="link" href="s17.html#idx_id_105">J</a> <a class="link" href="s17.html#idx_id_106">K</a> <a class="link" href="s17.html#idx_id_107">L</a> <a class="link" href="s17.html#idx_id_108">M</a> <a class="link" href="s17.html#idx_id_109">N</a> <a class="link" href="s17.html#idx_id_110">O</a> <a class="link" href="s17.html#idx_id_111">P</a> <a class="link" href="s17.html#idx_id_112">Q</a> <a class="link" href="s17.html#idx_id_113">R</a> <a class="link" href="s17.html#idx_id_114">S</a> <a class="link" href="s17.html#idx_id_115">T</a> <a class="link" href="s17.html#idx_id_116">
U</a> <a class="link" href="s17.html#idx_id_117">V</a> <a class="link" href="s17.html#idx_id_118">W</a> <a class="link" href="s17.html#idx_id_119">Z</a>
<div class="variablelist"><dl class="variablelist">
<dt>
@@ -1321,13 +1321,16 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/uniform_dist.html" title="Uniform Distribution">Uniform Distribution</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/non_templ.html" title="Use in non-template code">Use in non-template code</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/templ.html" title="Use in template code">Use in template code</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">Use With User Defined Types</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">Use With User-Defined Types</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">Using Boost.Math with High-Precision Floating-Point Libraries</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision">Using Boost.Multiprecision</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/float128.html" title="Using with GCC's __float128 datatype">Using with GCC's __float128 datatype</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/weibull_dist.html" title="Weibull Distribution">Weibull Distribution</a></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
construction_traits
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">Use With User Defined Types</a></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">Use With User-Defined Types</a></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
Continued Fraction Evaluation
@@ -1433,6 +1436,10 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+cyl_bessel_j_zero
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/special/bessel/bessel0.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds">Finding Zeros of Bessel Functions of the First and Second Kinds</a></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
cyl_bessel_k
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and C++ TR1 C-style Functions">C99 and C++ TR1 C-style Functions</a></li>
@@ -1482,6 +1489,10 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">TR1 C Functions Quick Reference</a></li>
</ul></div>
</li>
+<li class="listitem" style="list-style-type: none">
+cyl_neumann_zero
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/special/bessel/bessel0.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds">Finding Zeros of Bessel Functions of the First and Second Kinds</a></li></ul></div>
+</li>
</ul></div></dd>
<dt>
<a name="idx_id_99"></a>D
@@ -1887,12 +1898,11 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples">expression</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/error_eg.html" title="Error Handling Example">infinity</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">location</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">mean</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">negative_binomial</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples">mean</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples">negative_binomial</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples">normal</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples">pdf</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">quantile</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">RR</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example">scale</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">standard_deviation</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html" title="Some Miscellaneous Examples of the Normal (Gaussian) Distribution">test</a></li>
@@ -2036,7 +2046,8 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/backgrounders/remez.html" title="The Remez Method">The Remez Method</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/triangular_dist.html" title="Triangular Distribution">Triangular Distribution</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/templ.html" title="Use in template code">Use in template code</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/use_mpfr.html" title="Using With MPFR / GMP - a High-Precision Floating-Point Library">Using With MPFR / GMP - a High-Precision Floating-Point Library</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library">Using With MPFR or GMP - High-Precision Floating-Point Library</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/using_test.html" title="Using without expression templates for Boost.Test and others">Using without expression templates for Boost.Test and others</a></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
@@ -2061,11 +2072,7 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution">extreme_value_distribution</a></li>
<li class="listitem" style="list-style-type: none">
e_float
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/e_float.html" title="e_float Support">e_float Support</a></li></ul></div>
-</li>
-<li class="listitem" style="list-style-type: none">
-e_float Support
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/e_float.html" title="e_float Support">e_float</a></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/e_float.html" title="Using e_float Library">Using e_float Library</a></li></ul></div>
</li>
</ul></div></dd>
<dt>
@@ -2143,6 +2150,13 @@
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/utils/next_float/float_prior.html" title="Finding the Next Smaller Representable Value (float_prior)">float_prior</a></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+Finding Zeros of Bessel Functions of the First and Second Kinds
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/special/bessel/bessel0.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds">cyl_bessel_j_zero</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/special/bessel/bessel0.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds">cyl_neumann_zero</a></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
find_beta
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta Distribution</a></li></ul></div>
</li>
@@ -2442,7 +2456,7 @@
get
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants">Defining New Constants</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">Use With User Defined Types</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">Use With User-Defined Types</a></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
@@ -3058,8 +3072,8 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/perf/tuning.html" title="Performance Tuning Macros">Performance Tuning Macros</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/backgrounders/refs.html" title="References">References</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/backgrounders/lanczos.html" title="The Lanczos Approximation">The Lanczos Approximation</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/use_mpfr.html" title="Using With MPFR / GMP - a High-Precision Floating-Point Library">Using With MPFR / GMP - a High-Precision Floating-Point Library</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">Using With NTL - a High-Precision Floating-Point Library</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_ntl.html" title="Using NTL Library">Using NTL Library</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library">Using With MPFR or GMP - High-Precision Floating-Point Library</a></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
@@ -3432,6 +3446,7 @@
<li class="listitem" style="list-style-type: none">
mean
<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples">Distribution Construction Examples</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">Find Location (Mean) Example</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html" title="Find Scale (Standard Deviation) Example">Find Scale (Standard Deviation) Example</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/geometric_dist.html" title="Geometric Distribution">Geometric Distribution</a></li>
@@ -3549,7 +3564,7 @@
<li class="listitem" style="list-style-type: none">
negative_binomial
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples">Distribution Construction Examples</a></li>
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative Binomial Distribution</a></li>
</ul></div>
</li>
@@ -4155,10 +4170,6 @@
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/extern_c/c99.html" title="C99 C Functions">C99 C Functions</a></li>
</ul></div>
</li>
-<li class="listitem" style="list-style-type: none">
-RR
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></li></ul></div>
-</li>
</ul></div></dd>
<dt>
<a name="idx_id_114"></a>S
@@ -4727,11 +4738,11 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-Use With User Defined Types
+Use With User-Defined Types
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">constants</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">construction_traits</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types">get</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">constants</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">construction_traits</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User-Defined Types">get</a></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
@@ -4792,6 +4803,18 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+Using Boost.Math with High-Precision Floating-Point Libraries
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">constants</a></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+Using Boost.Multiprecision
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision">constants</a></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+Using e_float Library
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/e_float.html" title="Using e_float Library">e_float</a></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
Using Macros to Change the Policy Defaults
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults">BOOST_MATH_ASSERT_UNDEFINED_POLICY</a></li>
@@ -4812,15 +4835,23 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-Using With MPFR / GMP - a High-Precision Floating-Point Library
+Using NTL Library
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_ntl.html" title="Using NTL Library">Lanczos approximation</a></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+Using with GCC's __float128 datatype
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/float128.html" title="Using with GCC's __float128 datatype">constants</a></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+Using With MPFR or GMP - High-Precision Floating-Point Library
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/use_mpfr.html" title="Using With MPFR / GMP - a High-Precision Floating-Point Library">expression</a></li>
-<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/use_mpfr.html" title="Using With MPFR / GMP - a High-Precision Floating-Point Library">Lanczos approximation</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library">expression</a></li>
+<li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library">Lanczos approximation</a></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-Using With NTL - a High-Precision Floating-Point Library
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">Lanczos approximation</a></li></ul></div>
+Using without expression templates for Boost.Test and others
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><a class="link" href="../math_toolkit/using_udt/high_precision/using_test.html" title="Using without expression templates for Boost.Test and others">expression</a></li></ul></div>
</li>
</ul></div></dd>
<dt>
@@ -4935,9 +4966,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/tutorial/user_def.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/tutorial/user_def.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/tutorial/user_def.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -79,6 +79,13 @@
 function call that returns the constant will be a <code class="computeroutput">constexp</code>.
 </li>
<li class="listitem">
+ If the precision is less than or equal to that of a <code class="computeroutput">__float128</code> (and the compiler
+ supports such a type) and the type is constructable from a <code class="computeroutput">__float128</code> then our code returns
+ a <code class="computeroutput">__float128</code>
+ literal. If the user-defined type is a literal type then the
+ function call that returns the constant will be a <code class="computeroutput">constexp</code>.
+ </li>
+<li class="listitem">
 If the precision is less than 100 decimal digits, then the constant
 will be constructed (just the once, then cached in a thread-safe
 manner) from a string representation of the constant. In this

Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -27,7 +27,7 @@
<a name="math_toolkit.main_overview.conventions"></a><a class="link" href="conventions.html" title="Document Conventions">Document Conventions</a>
</h3></div></div></div>

- <a class="indexterm" name="id885176"></a>
+ <a class="indexterm" name="id848638"></a>
 

 This documentation aims to use of the following naming and formatting conventions.
@@ -69,9 +69,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -39,13 +39,40 @@
 </h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
- Fixed constants to use a thread safe cache of computed values when used
+ Added many references to Boost.Multiprecision and <code class="computeroutput">cpp_dec_float_50</code>
+ as an example of a User-defined Type (UDT).
+ </li>
+<li class="listitem">
+ Added Clang to list of supported compilers.
+ </li>
+<li class="listitem">
+ Fixed constants to use a thread-safe cache of computed values when used
 at arbitrary precision.
 </li>
<li class="listitem">
+ Added finding zeros of Bessel functions <code class="computeroutput">cyl_bessel_j_zero</code>,
+ <code class="computeroutput">cyl_neumann_zero</code>, <code class="computeroutput">air_ai_zeros</code> and <code class="computeroutput">air_bi_zeros</code>(by
+ Christopher Kormanyos).
+ </li>
+<li class="listitem">
 More accuracy improvements to the Bessel J and Y functions from Rocco
 Romeo.
 </li>
+<li class="listitem">
+ Fixed nasty cyclic dependency bug that caused some headers to not compile
+ #7999.
+ </li>
+<li class="listitem">
+ Fixed bug in <a class="link" href="../special/sf_gamma/tgamma.html" title="Gamma">tgamma</a>
+ that caused spurious overflow for arguments between 142.5 and 143.
+ </li>
+<li class="listitem">
+ Fixed bug in raise_rounding_error that caused it to return an incorrect
+ result when throwing an exception is turned off #7905.
+ </li>
+<li class="listitem">
+ Added minimal __float128 support.
+ </li>
</ul></div>
<h5>
<a name="math_toolkit.main_overview.history1.h1"></a>
@@ -585,9 +612,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -27,7 +27,7 @@
<a name="math_toolkit.main_overview.navigation"></a><a class="link" href="navigation.html" title="Navigation">Navigation</a>
</h3></div></div></div>

- <a class="indexterm" name="id885046"></a>
+ <a class="indexterm" name="id848509"></a>
 

 Boost.Math documentation is provided in both HTML and PDF formats.
@@ -87,9 +87,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel0.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel0.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel0.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -188,7 +188,7 @@
inline OutputIterator cyl_bessel_j_zero(T v, // Floating-point value for Jv.
 int start_index, // 1-based start index.
 unsigned number_of_zeros,
- OutputIterator out_it); // iterator into container for zeros. 
+ OutputIterator out_it); // iterator into container for zeros.
</pre>

 There is also a version which allows control of the <a class="link" href="../../policy.html" title="Policies">Policies</a>
@@ -199,7 +199,7 @@
 int start_index, // 1-based start index.
 unsigned number_of_zeros,
 OutputIterator out_it,
- const Policy& pol); // iterator into container for zeros. 
+ const Policy& pol); // iterator into container for zeros.
</pre>
<div class="tip"><table border="0" summary="Tip">
<tr>
@@ -259,19 +259,21 @@
 


-<pre class="programlisting">typedef boost::math::policies::policy<
- boost::math::policies::domain_error<boost::math::policies::ignore_error>,
- boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
- boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
- boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
- boost::math::policies::pole_error<boost::math::policies::ignore_error>,
- boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
- > ignore_all_policy;
+<pre class="programlisting">typedef boost::math::policies::policy
+ <
+ boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+ boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+ boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+ boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+ boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+ boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+ > ignore_all_policy;

 double inf = std::numeric_limits<double>::infinity();
 double nan = std::numeric_limits<double>::quiet_NaN();

- double dodgy_root = boost::math::cyl_bessel_j_zero(-1.0, 1, ignore_all_policy());
+ std::cout << "boost::math::cyl_bessel_j_zero(-1.0, 0) " << std::endl;
+ double dodgy_root = boost::math::cyl_bessel_j_zero(-1.0, 0, ignore_all_policy());
 std::cout << "boost::math::cyl_bessel_j_zero(-1.0, 1) " << dodgy_root << std::endl; // 1.#QNAN
 double inf_root = boost::math::cyl_bessel_j_zero(inf, 1, ignore_all_policy());
 std::cout << "boost::math::cyl_bessel_j_zero(inf, 1) " << inf_root << std::endl; // 1.#QNAN
@@ -321,9 +323,10 @@
r = boost::math::cyl_bessel_j_zero(x, 20U); // 20th root.
std::cout << "x = " << x << ", r = " << r << std::endl;

-std::vector<float_type> zeros(3); // Space for 3 roots.
-boost::math::cyl_bessel_j_zero(float_type(71) / 19, 1, unsigned(zeros.size()), zeros.begin());
+std::vector<float_type> zeros;
+boost::math::cyl_bessel_j_zero(x, 1, 3, std::back_inserter(zeros));

+std::cout << "cyl_bessel_j_zeros" << std::endl;
// Print the roots to the output stream.
std::copy(zeros.begin(), zeros.end(),
 std::ostream_iterator<float_type>(std::cout, "\n"));
@@ -336,11 +339,21 @@


<pre class="programlisting">using boost::math::cyl_neumann_zero;
-std::cout << "cyl_neumann_zero(2., 1) = " << cyl_neumann_zero(2., 1) << std::endl;
+
+double zn = cyl_neumann_zero(2., 1);
+
+std::cout << "cyl_neumann_zero(2., 1) = " << std::endl;
+//double zn0 = zn;
+// std::cout << "zn0 = " << std::endl;
+// std::cout << zn0 << std::endl;
+//
+std::cout << zn << std::endl;
+// std::cout << cyl_neumann_zero(2., 1) << std::endl;

std::vector<float> nzeros(3); // Space for 3 zeros.
-cyl_neumann_zero(2.F, 1, unsigned(nzeros.size()), nzeros.begin());
+cyl_neumann_zero<float>(2.F, 1, nzeros.size(), nzeros.begin());

+std::cout << "cyl_neumann_zero<float>(2.F, 1, " << std::endl;
// Print the zeros to the output stream.
std::copy(nzeros.begin(), nzeros.end(),
 std::ostream_iterator<float>(std::cout, "\n"));
@@ -412,13 +425,14 @@


<pre class="programlisting">try
-{ // Try a negative order v.
- float dodgy_root = boost::math::cyl_bessel_j_zero(-1.F, 1);
- std::cout << "boost::math::cyl_bessel_j_zero(-1.F, 1) " << dodgy_root << std::endl;
+{ // Try a negative rank m.
+ std::cout << "boost::math::cyl_bessel_j_zero(-1.F, -1) " << std::endl;
+ float dodgy_root = boost::math::cyl_bessel_j_zero(-1.F, -1);
+ std::cout << "boost::math::cyl_bessel_j_zero(-1.F, -1) " << dodgy_root << std::endl;
 // Throw exception Error in function boost::math::cyl_bessel_j_zero<double>(double, int):
 // Order argument is -1, but must be >= 0 !
}
-catch (std::exception ex)
+catch (std::exception& ex)
{
 std::cout << "Throw exception " << ex.what() << std::endl;
}

Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -38,13 +38,40 @@
 </h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
- Fixed constants to use a thread safe cache of computed values when used
+ Added many references to Boost.Multiprecision and <code class="computeroutput">cpp_dec_float_50</code>
+ as an example of a User-defined Type (UDT).
+ </li>
+<li class="listitem">
+ Added Clang to list of supported compilers.
+ </li>
+<li class="listitem">
+ Fixed constants to use a thread-safe cache of computed values when used
 at arbitrary precision.
 </li>
<li class="listitem">
+ Added finding zeros of Bessel functions <code class="computeroutput">cyl_bessel_j_zero</code>,
+ <code class="computeroutput">cyl_neumann_zero</code>, <code class="computeroutput">air_ai_zeros</code> and <code class="computeroutput">air_bi_zeros</code>(by
+ Christopher Kormanyos).
+ </li>
+<li class="listitem">
 More accuracy improvements to the Bessel J and Y functions from Rocco
 Romeo.
 </li>
+<li class="listitem">
+ Fixed nasty cyclic dependency bug that caused some headers to not compile
+ #7999.
+ </li>
+<li class="listitem">
+ Fixed bug in <a class="link" href="../special/sf_gamma/tgamma.html" title="Gamma">tgamma</a>
+ that caused spurious overflow for arguments between 142.5 and 143.
+ </li>
+<li class="listitem">
+ Fixed bug in raise_rounding_error that caused it to return an incorrect
+ result when throwing an exception is turned off #7905.
+ </li>
+<li class="listitem">
+ Added minimal __float128 support.
+ </li>
</ul></div>
<h5>
<a name="math_toolkit.status.history1.h1"></a>
@@ -584,9 +611,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
- Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs van den Berg and Benjamin
- Sobotta
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
 Distributed under the Boost Software License, Version 1.0. (See accompanying
 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -35,6 +35,8 @@
 use a high-precision library rather than built-in floating-point types?</a></dt>
<dt><a href="using_udt/high_precision/use_multiprecision.html">Using
 Boost.Multiprecision</a></dt>
+<dt><a href="using_udt/high_precision/float128.html">Using
+ with GCC's __float128 datatype</a></dt>
<dt><a href="using_udt/high_precision/use_mpfr.html">Using
 With MPFR or GMP - High-Precision Floating-Point Library</a></dt>
<dt><a href="using_udt/high_precision/e_float.html">Using

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision.html
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,112 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Using Boost.Math with High-Precision Floating-Point Libraries</title>
+<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../index.html" title="Math Toolkit">
+<link rel="up" href="../using_udt.html" title="Use with User-Defined Floating-Point Types">
+<link rel="prev" href="../using_udt.html" title="Use with User-Defined Floating-Point Types">
+<link rel="next" href="high_precision/why_high_precision.html" title="Why use a high-precision library rather than built-in floating-point types?">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../using_udt.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../using_udt.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="high_precision/why_high_precision.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="math_toolkit.using_udt.high_precision"></a><a class="link" href="high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">Using Boost.Math
+ with High-Precision Floating-Point Libraries</a>
+</h3></div></div></div>
+<div class="toc"><dl>
+<dt><a href="high_precision/why_high_precision.html">Why
+ use a high-precision library rather than built-in floating-point types?</a></dt>
+<dt><a href="high_precision/use_multiprecision.html">Using
+ Boost.Multiprecision</a></dt>
+<dt><a href="high_precision/float128.html">Using
+ with GCC's __float128 datatype</a></dt>
+<dt><a href="high_precision/use_mpfr.html">Using
+ With MPFR or GMP - High-Precision Floating-Point Library</a></dt>
+<dt><a href="high_precision/e_float.html">Using
+ e_float Library</a></dt>
+<dt><a href="high_precision/use_ntl.html">Using
+ NTL Library</a></dt>
+<dt><a href="high_precision/using_test.html">Using
+ without expression templates for Boost.Test and others</a></dt>
+</dl></div>
+
+ The special functions, distributions, constants and tools in this library
+ can be used with a number of high-precision libraries, including:
+ 
+<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
+<li class="listitem">
+ Boost.Multiprecision
+ </li>
+<li class="listitem">
+ e_float (TOMS Algorithm 910)
+ </li>
+<li class="listitem">
+ <a href="http://www.shoup.net/ntl/" target="_top">NTL A Library for doing Number
+ Theory</a>
+ </li>
+<li class="listitem">
+ GNU Multiple Precision Arithmetic Library
+ </li>
+<li class="listitem">
+ GNU MPFR library
+ </li>
+<li class="listitem">
+ __float128
+ </li>
+</ul></div>
+
+ The last four have some license restrictions; only Boost.Multiprecision
+ when using the <code class="computeroutput">cpp_float</code>
+ backend can provide an unrestricted Boost
+ license.
+ 
+
+ At present, the price of a free license is slightly lower speed.
+ 
+
+ Of course, the main cost of higher precision is very much decreased (usually
+ at least hundred-fold) computation speed, and big increases in memory use.
+ 
+
+ Some libraries offer true <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary
+ precision arithmetic</a> where the precision is limited only by avilable
+ memory and compute time, but most are used at some arbitrarily-fixed precision,
+ say 100 decimal digits.
+ 
+
+ Boost.Multiprecision
+ can operate in both ways, but the most popular choice is likely to be about
+ a hundred decimal digits, though examples of computing tens of thousands
+ of digits have been demonstrated.
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../using_udt.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../using_udt.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="high_precision/why_high_precision.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/e_float.html
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/e_float.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,69 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Using e_float Library</title>
+<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
+<link rel="up" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="prev" href="use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library">
+<link rel="next" href="use_ntl.html" title="Using NTL Library">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="use_mpfr.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="use_ntl.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision_e_float">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="math_toolkit.using_udt.high_precision.e_float"></a><a class="link" href="e_float.html" title="Using e_float Library">Using
+ e_float Library</a>
+</h4></div></div></div>
+
+ Boost.Multiprecision
+ was a development from the <a href="http://calgo.acm.org/910.zip" target="_top">e_float
+ (TOMS Algorithm 910)</a> library by Christopher Kormanyos.
+ 
+
+ e_float can still be used with Boost.Math library via the header:
+ 
+<pre class="programlisting"><boost/math/bindings/e_float.hpp>
+</pre>
+
+ And the type <code class="computeroutput">boost::math::ef::e_float</code>: this type is a thin wrapper
+ class around ::e_float which provides the necessary syntactic sugar to
+ make everything "just work".
+ 
+
+ There is also a concept checking test program for e_float support here.
+ 
+
+ New projects are recommended to use Boost.Multiprecision
+ with <code class="computeroutput">cpp_float</code> backend
+ instead.
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="use_mpfr.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="use_ntl.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/float128.html
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/float128.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,65 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Using with GCC's __float128 datatype</title>
+<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
+<link rel="up" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="prev" href="use_multiprecision.html" title="Using Boost.Multiprecision">
+<link rel="next" href="use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="use_multiprecision.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="use_mpfr.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision_float128">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="math_toolkit.using_udt.high_precision.float128"></a><a class="link" href="float128.html" title="Using with GCC's __float128 datatype">Using
+ with GCC's __float128 datatype</a>
+</h4></div></div></div>
+
+ At present support for GCC's native <code class="computeroutput">__float128</code>
+ datatype is extremely limited: the numeric constants will all work with
+ that type, and that's about it. If you want to use the distributions or
+ special functions then you will need to provide your own wrapper header
+ that:
+ 
+<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
+<li class="listitem">
+ Provides std::numeric_limits<__float128> support.
+ </li>
+<li class="listitem">
+ Provides overloads of the standard library math function for type __float128
+ and which forward to the libquadmath equivalents.
+ </li>
+</ul></div>
+
+ Ultimately these facilities should be provided by GCC and libstdc++.
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="use_multiprecision.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="use_mpfr.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_mpfr.html
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_mpfr.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,115 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Using With MPFR or GMP - High-Precision Floating-Point Library</title>
+<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
+<link rel="up" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="prev" href="float128.html" title="Using with GCC's __float128 datatype">
+<link rel="next" href="e_float.html" title="Using e_float Library">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="float128.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="e_float.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision_use_mpfr">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="math_toolkit.using_udt.high_precision.use_mpfr"></a><a class="link" href="use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library">Using
+ With MPFR or GMP - High-Precision Floating-Point Library</a>
+</h4></div></div></div>
+
+ The special functions and tools in this library can be used with MPFR (an arbitrary precision number type
+ based on the <a href="http://gmplib.org/" target="_top">GNU Multiple Precision Arithmetic
+ Library</a>), either via the bindings in boost/math/bindings/mpfr.hpp,
+ or via boost/math/bindings/mpreal.hpp.
+ 
+
+ New projects are recommended to use Boost.Multiprecision
+ with GMP/MPFR backend instead.
+ 
+
+ In order to use these bindings you will need to have installed MPFR
+ plus its dependency the GMP library.
+ You will also need one of the two supported C++ wrappers for MPFR: gmpfrxx (or mpfr_class),
+ or mpfr-C++ (mpreal).
+ 
+
+ Unfortunately neither <code class="computeroutput">mpfr_class</code>
+ nor <code class="computeroutput">mpreal</code> quite satisfy
+ our conceptual requirements, so there is a very thin set of additional
+ interfaces and some helper traits defined in boost/math/bindings/mpfr.hpp
+ and boost/math/bindings/mpreal.hpp
+ that you should use in place of including 'gmpfrxx.h' or 'mpreal.h' directly.
+ The classes <code class="computeroutput">mpfr_class</code>
+ or <code class="computeroutput">mpreal</code> are then usable
+ unchanged once this header is included, so for example <code class="computeroutput">mpfr_class</code>'s
+ performance-enhancing expression templates are preserved and fully supported
+ by this library:
+ 
+<pre class="programlisting">#include <boost/math/bindings/mpfr.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+
+int main()
+{
+ mpfr_class::set_dprec(500); // 500 bit precision
+ //
+ // Note that the argument to tgamma is
+ // an expression template - that's just fine here.
+ //
+ mpfr_class v = boost::math::tgamma(sqrt(mpfr_class(2)));
+ std::cout << std::setprecision(50) << v << std::endl;
+}
+</pre>
+
+ Alternatively use with <code class="computeroutput">mpreal</code>
+ would look like:
+ 
+<pre class="programlisting">#include <boost/math/bindings/mpreal.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+
+int main()
+{
+ mpfr::mpreal::set_precision(500); // 500 bit precision
+ mpfr::mpreal v = boost::math::tgamma(sqrt(mpfr::mpreal(2)));
+ std::cout << std::setprecision(50) << v << std::endl;
+}
+</pre>
+
+ For those functions that are based upon the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ approximation</a>, the bindings defines a series of approximations with
+ up to 61 terms and accuracy up to approximately 3e-113. This therefore
+ sets the upper limit for accuracy to the majority of functions defined
+ this library when used with either <code class="computeroutput">mpfr_class</code>
+ or <code class="computeroutput">mpreal</code>.
+ 
+
+ There is a concept checking test program for mpfr support here
+ and here.
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="float128.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="e_float.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_multiprecision.html
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_multiprecision.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,412 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Using Boost.Multiprecision</title>
+<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
+<link rel="up" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="prev" href="why_high_precision.html" title="Why use a high-precision library rather than built-in floating-point types?">
+<link rel="next" href="float128.html" title="Using with GCC's __float128 datatype">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="why_high_precision.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="float128.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision_use_multiprecision">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="math_toolkit.using_udt.high_precision.use_multiprecision"></a><a class="link" href="use_multiprecision.html" title="Using Boost.Multiprecision">Using
+ Boost.Multiprecision</a>
+</h4></div></div></div>
+
+ All new projects are recommended to use Boost.Multiprecision.
+ 
+<h6>
+<a name="math_toolkit.using_udt.high_precision.use_multiprecision.h0"></a>
+ <a name="math_toolkit.using_udt.high_precision.use_multiprecision.using_boost_multiprecision__code__phrase_role__identifier__cpp_float__phrase___code__for_numerical_calculations_with_high_precision_"></a><a class="link" href="use_multiprecision.html#math_toolkit.using_udt.high_precision.use_multiprecision.using_boost_multiprecision__code__phrase_role__identifier__cpp_float__phrase___code__for_numerical_calculations_with_high_precision_">Using
+ Boost.Multiprecision <code class="computeroutput">cpp_float</code>
+ for numerical calculations with high precision.</a>
+ </h6>
+
+ The Boost.Multiprecision library can be used for computations requiring
+ precision exceeding that of standard built-in types such as float, double
+ and long double. For extended-precision calculations, Boost.Multiprecision
+ supplies a template data type called cpp_dec_float. The number of decimal
+ digits of precision is fixed at compile-time via template parameter.
+ 
+
+ To use these floating-point types and constants, we need some includes:
+ 
+
+
+<pre class="programlisting">#include <boost/math/constants/constants.hpp>
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+// using boost::multiprecision::cpp_dec_float
+
+#include <iostream>
+#include <limits>
+</pre>
+
+ 
+
+ So now we can demonstrate with some trivial calculations:
+ 
+
+
+<pre class="programlisting">int main()
+{
+</pre>
+
+ 
+
+ Using <code class="computeroutput">typedef cpp_dec_float_50</code>
+ hides the complexity of multiprecision to allow us to define variables
+ with 50 decimal digit precision just like built-in <code class="computeroutput">double</code>.
+ 
+
+
+<pre class="programlisting">using boost::multiprecision::cpp_dec_float_50;
+
+cpp_dec_float_50 seventh = cpp_dec_float_50(1) / 7;
+</pre>
+
+ 
+
+ By default, output would only show the standard 6 decimal digits, so set
+ precision to show all 50 significant digits.
+ 
+
+
+<pre class="programlisting">std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10);
+std::cout << seventh << std::endl;
+</pre>
+
+ 
+
+ which outputs:
+ 
+<pre class="programlisting">0.14285714285714285714285714285714285714285714285714
+</pre>
+
+ We can also use constants, guaranteed to be initialized with the very last
+ bit of precision.
+ 
+
+
+<pre class="programlisting">cpp_dec_float_50 circumference = boost::math::constants::pi<cpp_dec_float_50>() * 2 * seventh;
+
+std::cout << circumference << std::endl;
+</pre>
+
+ 
+
+ which outputs
+ 
+<pre class="programlisting">0.89759790102565521098932668093700082405633411410717
+</pre>
+<h6>
+<a name="math_toolkit.using_udt.high_precision.use_multiprecision.h1"></a>
+ <a name="math_toolkit.using_udt.high_precision.use_multiprecision.using_boost_multiprecision_to_generate_a_high_precision_array_of_sin_coefficents_for_use_with_fft_"></a><a class="link" href="use_multiprecision.html#math_toolkit.using_udt.high_precision.use_multiprecision.using_boost_multiprecision_to_generate_a_high_precision_array_of_sin_coefficents_for_use_with_fft_">Using
+ Boost.Multiprecision to generate a high-precision array of sin coefficents
+ for use with FFT.</a>
+ </h6>
+
+ The Boost.Multiprecision library can be used for computations requiring
+ precision exceeding that of standard built-in types such as float, double
+ and long double. For extended-precision calculations, Boost.Multiprecision
+ supplies a template data type called cpp_dec_float. The number of decimal
+ digits of precision is fixed at compile-time via template parameter.
+ 
+
+ To use these floating-point types and constants, we need some includes:
+ 
+
+
+<pre class="programlisting">#include <boost/math/constants/constants.hpp>
+// using boost::math::constants::pi;
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+// using boost::multiprecision::cpp_dec_float
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+#include <fstream>
+</pre>
+
+ 
+
+ Define a text string which is a C++ comment with the program licence, copyright
+ etc. You could of course, tailor this to your needs, including copyright
+ claim. There are versions of <code class="computeroutput">array</code>
+ provided by Boost/array in boost::array or the C++11 std::array, but since
+ not all platforms provide C++11 support, this program provides the Boost
+ version as fallback.
+ 
+
+
+<pre class="programlisting">static const char* prolog =
+{
+ "// Use, modification and distribution are subject to the\n"
+ "// Boost Software License, Version 1.0.\n"
+ "// (See accompanying file LICENSE_1_0.txt\n"
+ "// or copy at ""http://www.boost.org/LICENSE_1_0.txt)\n\n"
+
+ "// Copyright ???? 2013.\n\n"
+
+ "// Use boost/array if std::array (C++11 feature) is not available.\n"
+ "#ifdef BOOST_NO_CXX11_HDR_ARRAY\n"
+ "#include <boost/array/array.hpp>\n"
+ "#else\n"
+ "#include <array>\n"
+ "#endif\n\n"
+};
+
+
+using boost::multiprecision::cpp_dec_float_50;
+using boost::math::constants::pi;
+// VS 2010 (wrongly) requires these at file scope, not local scope in main.
+// This program also requires -std=c++11 option to compile using Clang and GCC.
+
+int main()
+{
+</pre>
+
+ 
+
+ One often needs to compute tables of numbers in mathematical software.
+ 
+
+ A fast Fourier transform (FFT), for example, may use a table of the values
+ of sin((π/2n) in its implementation details. In order to maximize the precision
+ in the FFT implementation, the precision of the tabulated trigonometric
+ values should exceed that of the built-in floating-point type used in the
+ FFT.
+ 
+
+ The sample below computes a table of the values of sin(π/2n) in the range
+ 1 <= n <= 31.
+ 
+
+ This program makes use of, among other program elements, the data type
+ <code class="computeroutput">boost::multiprecision::cpp_dec_float_50</code> for a precision of 50
+ decimal digits from Boost.Multiprecision, the value of constant π retrieved
+ from Boost.Math, guaranteed to be initialized with the very last bit of
+ precision for the type, here <code class="computeroutput">cpp_dec_float_50</code>,
+ and a C++11 lambda function combined with <code class="computeroutput">std::for_each()</code>.
+ 
+
+ define the number of values in the array.
+ 
+
+
+<pre class="programlisting">std::size_t size = 32U;
+cpp_dec_float_50 p = pi<cpp_dec_float_50>();
+cpp_dec_float_50 p2 = boost::math::constants::pi<cpp_dec_float_50>();
+
+std::vector <cpp_dec_float_50> sin_values (size);
+unsigned n = 1U;
+// Generate the sine values.
+std::for_each
+(
+ sin_values.begin (),
+ sin_values.end (),
+ [&n](cpp_dec_float_50& y)
+ {
+ y = sin( pi<cpp_dec_float_50>() / pow(cpp_dec_float_50 (2), n));
+ ++n;
+ }
+);
+</pre>
+
+ 
+
+ Define the floating-point type for the generated file, either built-in
+ <code class="computeroutput">double,
+ </code>float, or <code class="computeroutput">long double</code>,
+ or a user defined type like <code class="computeroutput">cpp_dec_float_50</code>.
+ 
+
+
+<pre class="programlisting">std::string fp_type = "double";
+
+std::cout << "Generating an `std::array` or `boost::array` for floating-point type: "
+ << fp_type << ". " << std::endl;
+</pre>
+
+ 
+
+ By default, output would only show the standard 6 decimal digits, so set
+ precision to show enough significant digits for the chosen floating-point
+ type. For <code class="computeroutput">cpp_dec_float_50</code>
+ is 50. (50 decimal digits should be ample for most applications).
+ 
+
+
+<pre class="programlisting">std::streamsize precision = std::numeric_limits<cpp_dec_float_50>::digits10;
+
+// std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10);
+std::cout << precision << " decimal digits precision. " << std::endl;
+</pre>
+
+ 
+
+ Of course, one could also choose less, for example, 36 would be sufficient
+ for the most precise current <code class="computeroutput">long
+ double</code> implementations using 128-bit.
+ In general, it should be a couple of decimal digits more (guard digits)
+ than <code class="computeroutput">std::numeric_limits<RealType>::max_digits10</code> for the target system floating-point
+ type. If the implementation does not provide <code class="computeroutput">max_digits10</code>,
+ the the Kahan formula <code class="computeroutput">std::numeric_limits<RealType>::digits
+ * 3010/10000 +
+ 2</code> can be used instead.
+ 
+
+ The compiler will read these values as decimal digits strings and use the
+ nearest representation for the floating-point type.
+ 
+
+ Now output all the sine table, to a file of your chosen name.
+ 
+
+
+<pre class="programlisting"> const char sines_name[] = "sines.hpp"; // In same directory as .exe
+
+ std::ofstream fout(sines_name, std::ios_base::out); // Creates if no file exists,
+ // & uses default overwrite/ ios::replace.
+ if (fout.is_open() == false)
+ { // failed to open OK!
+ std::cout << "Open file " << sines_name << " failed!" << std::endl;
+ return EXIT_FAILURE;
+ }
+ else
+ {
+ std::cout << "Open file " << sines_name << " for output OK." << std::endl;
+ fout << prolog << "// Table of " << sin_values.size() << " values with "
+ << precision << " decimal digits precision,\n"
+ "// generated by program fft_sines_table.cpp.\n" << std::endl;
+
+ fout <<
+"#ifdef BOOST_NO_CXX11_HDR_ARRAY""\n"
+ " static const boost::array<double, " << size << "> sines =\n"
+"#else""\n"
+" static const std::array<double, " << size << "> sines =\n"
+"#endif""\n"
+ "{{\n"; // 2nd { needed for some GCC compiler versions.
+ fout.precision(precision);
+
+ for (unsigned int i = 0U; ;)
+ {
+ fout << " " << sin_values[i];
+ if (i == sin_values.size()-1)
+ { // next is last value.
+ fout << "\n}};\n"; // 2nd } needed for some GCC compiler versions.
+ break;
+ }
+ else
+ {
+ fout << ",\n";
+ i++;
+ }
+ }
+
+ fout.close();
+ std::cout << "Close file " << sines_name << " for output OK." << std::endl;
+
+ }
+</pre>
+
+ 
+
+ The output file generated can be seen at ..\sines.hpp
+ 
+
+ The table output is:
+ 
+
+
+<pre class="programlisting">The printed table is:
+
+ 1
+ 0.70710678118654752440084436210484903928483593768847
+ 0.38268343236508977172845998403039886676134456248563
+ 0.19509032201612826784828486847702224092769161775195
+ 0.098017140329560601994195563888641845861136673167501
+ 0.049067674327418014254954976942682658314745363025753
+ 0.024541228522912288031734529459282925065466119239451
+ 0.012271538285719926079408261951003212140372319591769
+ 0.0061358846491544753596402345903725809170578863173913
+ 0.003067956762965976270145365490919842518944610213452
+ 0.0015339801862847656123036971502640790799548645752374
+ 0.00076699031874270452693856835794857664314091945206328
+ 0.00038349518757139558907246168118138126339502603496474
+ 0.00019174759731070330743990956198900093346887403385916
+ 9.5873799095977345870517210976476351187065612851145e-05
+ 4.7936899603066884549003990494658872746866687685767e-05
+ 2.3968449808418218729186577165021820094761474895673e-05
+ 1.1984224905069706421521561596988984804731977538387e-05
+ 5.9921124526424278428797118088908617299871778780951e-06
+ 2.9960562263346607504548128083570598118251878683408e-06
+ 1.4980281131690112288542788461553611206917585861527e-06
+ 7.4901405658471572113049856673065563715595930217207e-07
+ 3.7450702829238412390316917908463317739740476297248e-07
+ 1.8725351414619534486882457659356361712045272098287e-07
+ 9.3626757073098082799067286680885620193236507169473e-08
+ 4.681337853654909269511551813854009695950362701667e-08
+ 2.3406689268274552759505493419034844037886207223779e-08
+ 1.1703344634137277181246213503238103798093456639976e-08
+ 5.8516723170686386908097901008341396943900085051757e-09
+ 2.9258361585343193579282304690689559020175857150074e-09
+ 1.4629180792671596805295321618659637103742615227834e-09
+*/
+</pre>
+
+ 
+
+ The output can be copied as text and readily integrated into a given source
+ code. Alternatively, the output can be written to a text or even be used
+ within a self-written automatic code generator as this example.
+ 
+
+ A computer algebra system can be used to verify the results obtained from
+ Boost.Math and Boost.Multiprecision. For example, the <a href="http://www.wolfram.com/products/mathematica/index.html" target="_top">Wolfram
+ Mathematica</a> computer algebra system can obtain a similar table
+ with the command:
+ 
+<pre class="programlisting">Table[N[Sin[Pi / (2^n)], 50], {n, 1, 31, 1}]
+</pre>
+
+ The Wolfram Alpha computational
+ knowledge engine can also be used to generate this table. The same command
+ can be pasted into the compute box.
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="why_high_precision.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="float128.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_ntl.html
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/use_ntl.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,76 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Using NTL Library</title>
+<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
+<link rel="up" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="prev" href="e_float.html" title="Using e_float Library">
+<link rel="next" href="using_test.html" title="Using without expression templates for Boost.Test and others">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="e_float.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="using_test.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision_use_ntl">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="math_toolkit.using_udt.high_precision.use_ntl"></a><a class="link" href="use_ntl.html" title="Using NTL Library">Using
+ NTL Library</a>
+</h4></div></div></div>
+
+ NTL::RR (an arbitrarily-fixed
+ precision floating-point number type), can be used via the bindings in
+ boost/math/bindings/rr.hpp.
+ For details, see <a href="http://shoup.net/ntl/" target="_top">NTL: A Library for
+ doing Number Theory by Victor Shoup</a>.
+ 
+
+ New projects are recommended to use Boost.Multiprecision
+ instead.
+ 
+
+ Unfortunately <code class="computeroutput">NTL::RR</code> doesn't quite satisfy our conceptual
+ requirements, so there is a very thin wrapper class <code class="computeroutput">boost::math::ntl::RR</code>
+ defined in boost/math/bindings/rr.hpp
+ that you should use in place of <code class="computeroutput">NTL::RR</code>.
+ The class is intended to be a drop-in replacement for the "real"
+ NTL::RR that adds some syntactic sugar to keep this library happy, plus
+ some of the standard library functions not implemented in NTL.
+ 
+
+ For those functions that are based upon the <a class="link" href="../../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
+ approximation</a>, the bindings defines a series of approximations with
+ up to 61 terms and accuracy up to approximately 3e-113. This therefore
+ sets the upper limit for accuracy to the majority of functions defined
+ this library when used with <code class="computeroutput">NTL::RR</code>.
+ 
+
+ There is a concept checking test program for NTL support here.
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="e_float.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="using_test.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/using_test.html
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--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/using_test.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,140 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Using without expression templates for Boost.Test and others</title>
+<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
+<link rel="up" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="prev" href="use_ntl.html" title="Using NTL Library">
+<link rel="next" href="../concepts.html" title="Conceptual Requirements for Real Number Types">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="use_ntl.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../concepts.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision_using_test">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="math_toolkit.using_udt.high_precision.using_test"></a><a class="link" href="using_test.html" title="Using without expression templates for Boost.Test and others">Using
+ without expression templates for Boost.Test and others</a>
+</h4></div></div></div>
+
+ As noted in the Boost.Multiprecision
+ documentation, certain program constructs will not compile when using expression
+ templates. One example that many users may encounter is Boost.Test (1.54
+ and earlier) when using macro BOOST_CHECK_CLOSE and BOOST_CHECK_CLOSE_FRACTION.
+ 
+
+ If, for example, you wish to use any multiprecision type like <code class="computeroutput">cpp_dec_float_50</code> in place of <code class="computeroutput">double</code> to give more precision, you will
+ need to override the default <code class="computeroutput">boost::multiprecision::et_on</code>
+ with <code class="computeroutput">boost::multiprecision::et_off</code>.
+ 
+
+
+<pre class="programlisting">#include <boost/multiprecision/cpp_dec_float.hpp>
+</pre>
+
+ 
+
+ To define a 50 decimal digit type using <code class="computeroutput">cpp_dec_float</code>,
+ you must pass two template parameters to <code class="computeroutput">boost::multiprecision::number</code>.
+ 
+
+ It may be more legible to use a two-staged type definition such as this:
+ 
+
+
+<pre class="programlisting">typedef boost::multiprecision::cpp_dec_float<50> mp_backend;
+typedef boost::multiprecision::number<mp_backend, boost::multiprecision::et_off> cpp_dec_float_50_noet;
+</pre>
+
+ 
+
+ Here, we first define <code class="computeroutput">mp_backend</code>
+ as <code class="computeroutput">cpp_dec_float</code> with 50
+ digits. The second step passes this backend to <code class="computeroutput">boost::multiprecision::number</code>
+ with <code class="computeroutput">boost::multiprecision::et_off</code>, an enumerated type.
+ 
+<pre class="programlisting">typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<50>, boost::multiprecision::et_off>
+cpp_dec_float_50_noet;`
+</pre>
+
+ You can reduce typing with a <code class="computeroutput">using</code>
+ directive <code class="computeroutput">using namespace
+ boost::multiprecision;</code>
+ if desired, as shown below.
+ 
+
+
+<pre class="programlisting">using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_off> cpp_dec_float_50_noet;
+</pre>
+
+ 
+
+ Now <code class="computeroutput">cpp_dec_float_50_noet</code>
+ can be used as a direct replacement for built-in types like <code class="computeroutput">double</code> etc.
+ 
+
+
+<pre class="programlisting">BOOST_AUTO_TEST_CASE(cpp_float_test_check_close)
+{
+
+ std::cout.precision(std::numeric_limits<cpp_dec_float_50_noet>::digits10); // All significant digits.
+ std::cout << std::showpoint << std::endl; // Show trailing zeros.
+
+ cpp_dec_float_50_noet a ("1.");
+ cpp_dec_float_50_noet b ("1.");
+ b += std::numeric_limits<cpp_dec_float_50_noet>::epsilon(); // Increment least significant decimal digit.
+
+ cpp_dec_float_50_noet eps = std::numeric_limits<cpp_dec_float_50_noet>::epsilon();
+
+ std::cout <<"a = " << a << ",\nb = " << b << ",\neps = " << eps << std::endl;
+
+ BOOST_CHECK_CLOSE(a, b, eps); // Expected to pass (because tolerance is as percent).
+ BOOST_CHECK_CLOSE_FRACTION(a, b, eps); // Expected to fail.
+</pre>
+
+ 
+
+ Using <code class="computeroutput">cpp_dec_float_50</code>
+ with the default expression template use switched on, the compiler error
+ message for `BOOST_CHECK_CLOSE_FRACTION(a, b, eps); would be:
+ 
+
+
+<pre class="programlisting">// failure floating_point_comparison.hpp(59): error C2440: 'static_cast' :
+// cannot convert from 'int' to 'boost::multiprecision::detail::expression<tag,Arg1,Arg2,Arg3,Arg4>'
+</pre>
+
+ 
+
+ A full example code is at test_cpp_float_close_fraction.cpp
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="use_ntl.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../concepts.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/why_high_precision.html
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/using_udt/high_precision/why_high_precision.html 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -0,0 +1,136 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Why use a high-precision library rather than built-in floating-point types?</title>
+<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
+<link rel="home" href="../../../index.html" title="Math Toolkit">
+<link rel="up" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="prev" href="../high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">
+<link rel="next" href="use_multiprecision.html" title="Using Boost.Multiprecision">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<table cellpadding="2" width="100%"><tr>
+<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td>
+<td align="center">Home</td>
+<td align="center">Libraries</td>
+<td align="center">People</td>
+<td align="center">FAQ</td>
+<td align="center">More</td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="use_multiprecision.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+<div class="section math_toolkit_using_udt_high_precision_why_high_precision">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="math_toolkit.using_udt.high_precision.why_high_precision"></a><a class="link" href="why_high_precision.html" title="Why use a high-precision library rather than built-in floating-point types?">Why
+ use a high-precision library rather than built-in floating-point types?</a>
+</h4></div></div></div>
+
+ For nearly all applications, the built-in floating-point types, <code class="computeroutput">double</code> (and <code class="computeroutput">long
+ double</code> if this offers higher precision
+ than <code class="computeroutput">double</code>) offer enough
+ precision, typically a dozen decimal digits.
+ 
+
+ Some reasons why one would want to use a higher precision:
+ 
+<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
+<li class="listitem">
+ A much more precise result (many more digits) is just a requirement.
+ </li>
+<li class="listitem">
+ The range of the computed value exceeds the range of the type: factorials
+ are the textbook example.
+ </li>
+<li class="listitem">
+ Using double is (or may be) too inaccurate.
+ </li>
+<li class="listitem">
+ Using long double (or may be) is too inaccurate.
+ </li>
+<li class="listitem">
+ Using an extended precision type implemented in software as double-double
+ (Darwin)
+ is sometimes unpredictably inaccurate.
+ </li>
+<li class="listitem">
+ Loss of precision or inaccuracy caused by extreme arguments or cancellation
+ error.
+ </li>
+<li class="listitem">
+ An accuracy as good as possible for a chosen built-in floating-point
+ type is required.
+ </li>
+<li class="listitem">
+ As a reference value, for example, to determine the inaccuracy of a
+ value computed with a built-in floating point type, (perhaps even using
+ some quick'n'dirty algorithm). The accuracy of many functions and distributions
+ in Boost.Math has been measured in this way from tables of very high
+ precision (up to 1000 decimal digits).
+ </li>
+</ul></div>
+
+ Many functions and distributions have differences from exact values that
+ are only a few least significant bits - computation noise. Others, often
+ those for which analytical solutions are not available, require approximations
+ and iteration: these may lose several decimal digits of precision.
+ 
+
+ Much larger loss of precision can occur for boundary
+ or corner cases,
+ often caused by <a href="http://en.wikipedia.org/wiki/Loss_of_significance" target="_top">cancellation
+ errors</a>.
+ 
+
+ (Some of the worst and most common examples of <a href="http://en.wikipedia.org/wiki/Loss_of_significance" target="_top">cancellation
+ error or loss of significance</a> can be avoided by using <a class="link" href="../../dist/stat_tut/overview/complements.html#complements">complements</a>:
+ see <a class="link" href="../../dist/stat_tut/overview/complements.html#why_complements">why complements?</a>).
+ 
+
+ If you require a value which is as accurate as can be represented in the
+ floating-point type, and is thus the closest representable value and has
+ an error less than 1/2 a <a href="http://en.wikipedia.org/wiki/Least_significant_bit" target="_top">least
+ significant bit</a> or ulp
+ it may be useful to use a higher-precision type, for example, <code class="computeroutput">cpp_dec_float_50</code>, to generate this value.
+ Conversion of this value to a built-in floating-point type ('float', <code class="computeroutput">double</code> or <code class="computeroutput">long
+ double</code>) will not cause any further
+ loss of precision. A decimal digit string will also be 'read' precisely
+ by the compiler into a built-in floating-point type to the nearest representable
+ value.
+ 
+<div class="note"><table border="0" summary="Note">
+<tr>
+<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
+<th align="left">Note</th>
+</tr>
+<tr><td align="left" valign="top">
+ In contrast, reading a value from an <code class="computeroutput">std::istream</code>
+ into a built-in floating-point type is not guaranteed
+ by the C++ Standard to give the nearest representable value.
+ </td></tr>
+</table></div>
+
+ William Kahan coined the term <a href="http://en.wikipedia.org/wiki/Rounding#The_table-maker.27s_dilemma" target="_top">Table-Maker's
+ Dilemma</a> for the problem of correctly rounding functions. Using
+ a much higher precision (50 or 100 decimal digits) is a practical way of
+ generating (almost always) correctly rounded values.
+ 
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012, 2013 John Maddock, Paul A. Bristow,
+ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani, Thijs
+ van den Berg, Benjamin Sobotta and Christopher Kormanyos
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ 
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../high_precision.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="use_multiprecision.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Modified: trunk/libs/math/doc/sf_and_dist/roadmap.qbk
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/roadmap.qbk (original)
+++ trunk/libs/math/doc/sf_and_dist/roadmap.qbk 2013-03-07 05:14:18 EST (Thu, 07 Mar 2013)
@@ -16,6 +16,7 @@
* Fixed nasty cyclic dependency bug that caused some headers to not compile [@https://svn.boost.org/trac/boost/ticket/7999 #7999].
* Fixed bug in __tgamma that caused spurious overflow for arguments between 142.5 and 143.
* Fixed bug in raise_rounding_error that caused it to return an incorrect result when throwing an exception is turned off [@https://svn.boost.org/trac/boost/ticket/7905 #7905].
+* Added minimal __float128 support.

[h4 Boost-1.53]

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