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Merge changes from Trunk: Fixes #4504. Fixes #4518.

Browse Source 
[SVN r64664]
This commit is contained in:
John Maddock
2010-08-07 16:35:39 +00:00
parent 9842cb0651
commit 4bdc5ccc5f
132 changed files with 773 additions and 662 deletions
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2
doc/sf_and_dist/error_handling.qbk
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@@ -27,7 +27,7 @@ The kinds of errors that can be raised are:
the function.]]
[[Denormalisation Error][Occurs when the returned result would be a denormalised value.]]
[[Rounding Error][Occurs when the argument to one of the rounding functions __trunc,
__round and __modf can not be represented as an integer type, is is
__round and __modf can not be represented as an integer type, is
outide the range of the result type.]]
[[Evaluation Error][Occurs when an internal error occured that prevented the
result from being evaluated: this should never occur, but if it does, then

4
doc/sf_and_dist/html/index.html
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@@ -53,7 +53,7 @@
Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani
and Thijs van den Berg</p></div>
<div><div class="legalnotice">
<a name="id898085"></a><p>
<a name="id875010"></a><p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
@@ -488,7 +488,7 @@
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"><p><small>Last revised: July 15, 2010 at 16:56:47 GMT</small></p></td>
<td align="left"><p><small>Last revised: August 07, 2010 at 16:25:25 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

30
doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html
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@@ -33,7 +33,7 @@
and reflect more the general implementation philosophy used.
</p>
<a name="math_toolkit.backgrounders.implementation.implemention_philosophy"></a><h5>
<a name="id1279266"></a>
<a name="id1257463"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
philosophy</a>
</h5>
@@ -85,7 +85,7 @@
These could still provide sufficient accuracy for some speed-critical applications.
</p>
<a name="math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values"></a><h5>
<a name="id1279330"></a>
<a name="id1257526"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
and Representation of Test Values</a>
</h5>
@@ -130,7 +130,7 @@
binary value).
</p>
<a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a><h5>
<a name="id1279474"></a>
<a name="id1257670"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
of Tests</a>
</h5>
@@ -156,7 +156,7 @@
first that the suffix L is present, and then that the tolerance is big enough.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_unsuitable_arguments"></a><h5>
<a name="id1279518"></a>
<a name="id1257715"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
Unsuitable Arguments</a>
</h5>
@@ -224,7 +224,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined"></a><h5>
<a name="id1279648"></a>
<a name="id1257844"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
of Functions that are Not Mathematically defined</a>
</h5>
@@ -258,7 +258,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.median_of_distributions"></a><h5>
<a name="id1279733"></a>
<a name="id1257929"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
of distributions</a>
</h5>
@@ -291,7 +291,7 @@
Basic Statistics.</a> give more detail, in particular for discrete distributions.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity"></a><h5>
<a name="id1279830"></a>
<a name="id1258027"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
of Floating-Point Infinity</a>
</h5>
@@ -335,7 +335,7 @@
handling policies</a>.
</p>
<a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a><h5>
<a name="id1279916"></a>
<a name="id1258113"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
Shape and Location</a>
</h5>
@@ -362,7 +362,7 @@
functions, they can be added if required.
</p>
<a name="math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions"></a><h5>
<a name="id1280251"></a>
<a name="id1258448"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
on Implementation of Specific Functions &amp; Distributions</a>
</h5>
@@ -374,7 +374,7 @@
lower = -1, mode = 0 and upper = 1 would be more suitable.
</li></ul></div>
<a name="math_toolkit.backgrounders.implementation.rational_approximations_used"></a><h5>
<a name="id1280275"></a>
<a name="id1258472"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
Approximations Used</a>
</h5>
@@ -417,7 +417,7 @@
to the "true" minimax solution.
</p>
<a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a><h5>
<a name="id1280320"></a>
<a name="id1258516"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
of Mathematical Constants</a>
</h5>
@@ -478,7 +478,7 @@
</span><span class="keyword">double</span> <span class="identifier">p</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">constants</span><span class="special">::</span><span class="identifier">pi</span><span class="special">();</span> <span class="comment">// Context does not allow for disambiguation of overloaded function
</span></pre>
<a name="math_toolkit.backgrounders.implementation.thread_safety"></a><h5>
<a name="id1280865"></a>
<a name="id1259225"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
safety</a>
</h5>
@@ -503,7 +503,7 @@
the right thing here at some point.
</p>
<a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a><h5>
<a name="id1280901"></a>
<a name="id1259261"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
of Test Data</a>
</h5>
@@ -541,7 +541,7 @@
the underlying special function is known to be difficult to implement.
</p>
<a name="math_toolkit.backgrounders.implementation.creating_and_managing_the_equations"></a><h5>
<a name="id1280964"></a>
<a name="id1259324"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
and Managing the Equations</a>
</h5>
@@ -713,7 +713,7 @@ done</pre>
HTML: this needs further investigation.
</p>
<a name="math_toolkit.backgrounders.implementation.producing_graphs"></a><h5>
<a name="id1281210"></a>
<a name="id1259570"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
Graphs</a>
</h5>

14
doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html
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@@ -27,7 +27,7 @@
<a name="math_toolkit.backgrounders.lanczos"></a><a class="link" href="lanczos.html" title="The Lanczos Approximation"> The Lanczos Approximation</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.lanczos.motivation"></a><h5>
<a name="id1281435"></a>
<a name="id1259795"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
</h5>
<p>
@@ -99,7 +99,7 @@
functions divided by large powers into single (simpler) expressions.
</p>
<a name="math_toolkit.backgrounders.lanczos.the_approximation"></a><h5>
<a name="id1281693"></a>
<a name="id1260053"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The
Approximation</a>
</h5>
@@ -161,7 +161,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.lanczos.computing_the_coefficients"></a><h5>
<a name="id1281885"></a>
<a name="id1260245"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
the Coefficients</a>
</h5>
@@ -205,7 +205,7 @@
multiplied by <span class="emphasis"><em>F</em></span> as the last step.
</p>
<a name="math_toolkit.backgrounders.lanczos.choosing_the_right_parameters"></a><h5>
<a name="id1282042"></a>
<a name="id1260402"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
the Right Parameters</a>
</h5>
@@ -229,7 +229,7 @@
computing to float precision with double precision arithmetic.
</p>
<div class="table">
<a name="id1282096"></a><p class="title"><b>Table&#160;53.&#160;Optimal choices for N and g when computing with guard digits (source:
<a name="id1260456"></a><p class="title"><b>Table&#160;53.&#160;Optimal choices for N and g when computing with guard digits (source:
Pugh)</b></p>
<div class="table-contents"><table class="table" summary="Optimal choices for N and g when computing with guard digits (source:
Pugh)">
@@ -372,7 +372,7 @@
exactly matches the machine epsilon for the type in question.
</p>
<div class="table">
<a name="id1282318"></a><p class="title"><b>Table&#160;54.&#160;Optimum value for N and g when computing at fixed precision</b></p>
<a name="id1260678"></a><p class="title"><b>Table&#160;54.&#160;Optimum value for N and g when computing at fixed precision</b></p>
<div class="table-contents"><table class="table" summary="Optimum value for N and g when computing at fixed precision">
<colgroup>
<col>
@@ -535,7 +535,7 @@
is exact, and so isn't used for the gamma function.
</p>
<a name="math_toolkit.backgrounders.lanczos.references"></a><h5>
<a name="id1282578"></a>
<a name="id1260938"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.references">References</a>
</h5>
<a name="godfrey"></a><a name="pugh"></a><div class="orderedlist"><ol type="1">

6
doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html
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@@ -27,7 +27,7 @@
<a name="math_toolkit.backgrounders.refs"></a><a class="link" href="refs.html" title="References"> References</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.refs.general_references"></a><h5>
<a name="id1285013"></a>
<a name="id1262358"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
references</a>
</h5>
@@ -91,7 +91,7 @@
Library (version 2), Walter E. Brown</a>
</p>
<a name="math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__"></a><h5>
<a name="id1285109"></a>
<a name="id1262454"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__">Calculators*
that we found (and used to cross-check - as far as their widely-varying accuracy
allowed).</a>
@@ -101,7 +101,7 @@
Binomial Probability Distribution Calculator.
</p>
<a name="math_toolkit.backgrounders.refs.other_libraries"></a><h5>
<a name="id1285134"></a>
<a name="id1262479"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other Libraries</a>
</h5>
<p>

2
doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html
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@@ -81,7 +81,7 @@
<a name="zero_error"></a><p>
</p>
<a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a><h5>
<a name="id1281392"></a>
<a name="id1259752"></a>
<a class="link" href="relative_error.html#math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error">The
Impossibility of Zero Error</a>
</h5>

16
doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html
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@@ -94,7 +94,7 @@
are located!</em></span>
</p>
<a name="math_toolkit.backgrounders.remez.the_remez_method"></a><h5>
<a name="id1282763"></a>
<a name="id1261123"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.the_remez_method">The Remez
Method</a>
</h5>
@@ -174,7 +174,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.backgrounders.remez.remez_step_1"></a><h5>
<a name="id1284425"></a>
<a name="id1261770"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_1">Remez Step
1</a>
</h5>
@@ -205,7 +205,7 @@
to 5.6x10<sup>-4</sup>.
</p>
<a name="math_toolkit.backgrounders.remez.remez_step_2"></a><h5>
<a name="id1284499"></a>
<a name="id1261844"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_2">Remez Step
2</a>
</h5>
@@ -234,7 +234,7 @@
In our example we perform multi-point exchange.
</p>
<a name="math_toolkit.backgrounders.remez.iteration"></a><h5>
<a name="id1284531"></a>
<a name="id1261877"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.iteration">Iteration</a>
</h5>
<p>
@@ -250,7 +250,7 @@
<span class="inlinemediaobject"><img src="../../../graphs/remez-4.png" alt="remez-4"></span>
</p>
<a name="math_toolkit.backgrounders.remez.rational_approximations"></a><h5>
<a name="id1284576"></a>
<a name="id1261921"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.rational_approximations">Rational
Approximations</a>
</h5>
@@ -299,7 +299,7 @@
number of terms overall.
</p>
<a name="math_toolkit.backgrounders.remez.practical_considerations"></a><h5>
<a name="id1284655"></a>
<a name="id1262000"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.practical_considerations">Practical
Considerations</a>
</h5>
@@ -407,7 +407,7 @@
desired minimax solution (5x10<sup>-4</sup>).
</p>
<a name="math_toolkit.backgrounders.remez.remez_method_checklist"></a><h5>
<a name="id1284811"></a>
<a name="id1262156"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez
Method Checklist</a>
</h5>
@@ -461,7 +461,7 @@
</li>
</ul></div>
<a name="math_toolkit.backgrounders.remez.references"></a><h5>
<a name="id1284893"></a>
<a name="id1262238"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.references">References</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html vendored
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@@ -28,7 +28,7 @@
Algorithms</a>
</h4></div></div></div>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions"></a><h5>
<a name="id1062124"></a>
<a name="id1040071"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions">Finding
the Location and Scale for Normal and similar distributions</a>
</h5>
@@ -50,7 +50,7 @@
</span><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">complement</span><span class="special">;</span> <span class="comment">// Will be needed by users who want to use complements.
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_location_function"></a><h5>
<a name="id1062222"></a>
<a name="id1040170"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_location_function">find_location
function</a>
</h5>
@@ -80,7 +80,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function"></a><h5>
<a name="id1062667"></a>
<a name="id1040615"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
function</a>
</h5>

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html vendored
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@@ -87,7 +87,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/bernoulli_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions"></a><h5>
<a name="id1008114"></a>
<a name="id985591"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions">Member
Functions</a>
</h5>
@@ -103,7 +103,7 @@
Returns the <span class="emphasis"><em>success_fraction</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors"></a><h5>
<a name="id1008192"></a>
<a name="id985669"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -128,7 +128,7 @@
exception and make an error message available.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy"></a><h5>
<a name="id1008295"></a>
<a name="id985772"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -136,7 +136,7 @@
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation"></a><h5>
<a name="id1008317"></a>
<a name="id985794"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation">Implementation</a>
</h5>
<p>
@@ -327,7 +327,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.references"></a><h5>
<a name="id1008646"></a>
<a name="id986123"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

20
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html vendored
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@@ -133,12 +133,12 @@
from the centre (where x = half).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.member_functions"></a><h5>
<a name="id1010558"></a>
<a name="id988103"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.constructor"></a><h6>
<a name="id1010574"></a>
<a name="id988119"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.constructor">Constructor</a>
</h6>
<pre class="programlisting"><span class="identifier">beta_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">beta</span><span class="special">);</span>
@@ -165,7 +165,7 @@
yellow in the graph above).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors"></a><h6>
<a name="id1010689"></a>
<a name="id988234"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors">Parameter
Accessors</a>
</h6>
@@ -189,7 +189,7 @@
</span><span class="identifier">assert</span><span class="special">(</span><span class="identifier">mybeta</span><span class="special">.</span><span class="identifier">beta</span><span class="special">()</span> <span class="special">==</span> <span class="number">5.</span><span class="special">);</span> <span class="comment">// mybeta.beta() returns 5
</span></pre>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators"></a><h5>
<a name="id1010890"></a>
<a name="id988435"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators">Parameter
Estimators</a>
</h5>
@@ -242,7 +242,7 @@ from presumed-known mean and variance.
Returns the value of &#946; that gives: <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">beta_distribution</span><span class="special">&lt;</span><span class="identifier">RealType</span><span class="special">&gt;(</span><span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">beta</span><span class="special">),</span> <span class="identifier">x</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">probability</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions"></a><h5>
<a name="id1011340"></a>
<a name="id988885"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions">Non-member
Accessor Functions</a>
</h5>
@@ -264,7 +264,7 @@ from presumed-known mean and variance.
Mathworld</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.applications"></a><h5>
<a name="id1011442"></a>
<a name="id988987"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.applications">Applications</a>
</h5>
<p>
@@ -277,7 +277,7 @@ from presumed-known mean and variance.
statistical inference</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions"></a><h5>
<a name="id1011468"></a>
<a name="id989013"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions">Related
distributions</a>
</h5>
@@ -303,7 +303,7 @@ from presumed-known mean and variance.
Distribution</a> with its p parameter set to x.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.accuracy"></a><h5>
<a name="id1011514"></a>
<a name="id989059"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -315,7 +315,7 @@ from presumed-known mean and variance.
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.implementation"></a><h5>
<a name="id1011559"></a>
<a name="id989104"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.implementation">Implementation</a>
</h5>
<p>
@@ -596,7 +596,7 @@ from presumed-known mean and variance.
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.references"></a><h5>
<a name="id1013181"></a>
<a name="id990726"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.references">References</a>
</h5>
<p>

26
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html vendored
View File

@@ -167,12 +167,12 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions"></a><h5>
<a name="id1014132"></a>
<a name="id991677"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.construct"></a><h6>
<a name="id1014150"></a>
<a name="id991695"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -189,7 +189,7 @@
otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accessors"></a><h6>
<a name="id1014267"></a>
<a name="id991812"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
@@ -205,7 +205,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction"></a><h6>
<a name="id1014348"></a>
<a name="id991893"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction">Lower
Bound on the Success Fraction</a>
</h6>
@@ -311,7 +311,7 @@
limits illustrated in the case of the binomial. Biometrika 26 404-413.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction"></a><h6>
<a name="id1014801"></a>
<a name="id992346"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction">Upper
Bound on the Success Fraction</a>
</h6>
@@ -389,7 +389,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes"></a><h6>
<a name="id1016778"></a>
<a name="id993181"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes">Estimating
the Number of Trials Required for a Certain Number of Successes</a>
</h6>
@@ -431,7 +431,7 @@
of seeing 10 events that occur with frequency one half.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes"></a><h6>
<a name="id1016980"></a>
<a name="id993382"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes">Estimating
the Maximum Number of Trials to Ensure no more than a Certain Number
of Successes</a>
@@ -479,7 +479,7 @@
Worked Example.</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors"></a><h5>
<a name="id1017190"></a>
<a name="id993592"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -504,7 +504,7 @@
in the context of this distribution:
</p>
<div class="table">
<a name="id1017322"></a><p class="title"><b>Table&#160;11.&#160;Meaning of the non-member accessors</b></p>
<a name="id993724"></a><p class="title"><b>Table&#160;11.&#160;Meaning of the non-member accessors</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors">
<colgroup>
<col>
@@ -628,7 +628,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.binomial_dist.examples"></a><h5>
<a name="id1017744"></a>
<a name="id994147"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.examples">Examples</a>
</h5>
<p>
@@ -636,7 +636,7 @@
examples</a> are available illustrating the use of the binomial distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy"></a><h5>
<a name="id1017766"></a>
<a name="id994168"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -646,7 +646,7 @@
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.implementation"></a><h5>
<a name="id1017794"></a>
<a name="id994197"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.implementation">Implementation</a>
</h5>
<p>
@@ -890,7 +890,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.references"></a><h5>
<a name="id1018844"></a>
<a name="id995247"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html vendored
View File

@@ -88,7 +88,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/cauchy_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions"></a><h5>
<a name="id1021089"></a>
<a name="id996940"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions">Member
Functions</a>
</h5>
@@ -114,7 +114,7 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors"></a><h5>
<a name="id1021237"></a>
<a name="id997087"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -148,7 +148,7 @@
The domain of the random variable is [-[max_value], +[min_value]].
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy"></a><h5>
<a name="id1021379"></a>
<a name="id997230"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -157,7 +157,7 @@
have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation"></a><h5>
<a name="id1021413"></a>
<a name="id997264"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation">Implementation</a>
</h5>
<p>
@@ -273,7 +273,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.references"></a><h5>
<a name="id1021640"></a>
<a name="id997490"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html vendored
View File

@@ -87,7 +87,7 @@ independent, normally distributed random
<span class="inlinemediaobject"><img src="../../../../../graphs/chi_squared_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions"></a><h5>
<a name="id1022205"></a>
<a name="id998056"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions">Member
Functions</a>
</h5>
@@ -170,7 +170,7 @@ independent, normally distributed random
NIST Engineering Statistics Handbook, Section 7.2.3.2</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors"></a><h5>
<a name="id1022536"></a>
<a name="id998387"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -196,7 +196,7 @@ independent, normally distributed random
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples"></a><h5>
<a name="id1022639"></a>
<a name="id998490"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples">Examples</a>
</h5>
<p>
@@ -204,7 +204,7 @@ independent, normally distributed random
are available illustrating the use of the Chi Squared Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy"></a><h5>
<a name="id1022666"></a>
<a name="id998516"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -212,7 +212,7 @@ independent, normally distributed random
gamma functions</a>: please refer to the accuracy data for those functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation"></a><h5>
<a name="id1022690"></a>
<a name="id998540"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
@@ -379,7 +379,7 @@ independent, normally distributed random
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.references"></a><h5>
<a name="id1023285"></a>
<a name="id999682"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html vendored
View File

@@ -71,7 +71,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/exponential_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.member_functions"></a><h5>
<a name="id1023720"></a>
<a name="id1000116"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.member_functions">Member
Functions</a>
</h5>
@@ -91,7 +91,7 @@
Accessor function returns the lambda parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors"></a><h5>
<a name="id1023820"></a>
<a name="id1000217"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -111,7 +111,7 @@
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.accuracy"></a><h5>
<a name="id1023920"></a>
<a name="id1000317"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -122,7 +122,7 @@
should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.implementation"></a><h5>
<a name="id1023968"></a>
<a name="id1000365"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.implementation">Implementation</a>
</h5>
<p>
@@ -283,7 +283,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.references"></a><h5>
<a name="id1024234"></a>
<a name="id1000631"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.references">references</a>
</h5>
<div class="itemizedlist"><ul type="disc">

8
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html vendored
View File

@@ -100,7 +100,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/extreme_value_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions"></a><h5>
<a name="id1024797"></a>
<a name="id1001194"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions">Member
Functions</a>
</h5>
@@ -125,7 +125,7 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors"></a><h5>
<a name="id1024953"></a>
<a name="id1001350"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -145,7 +145,7 @@
The domain of the random parameter is [-&#8734;, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy"></a><h5>
<a name="id1025050"></a>
<a name="id1001447"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -154,7 +154,7 @@
very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.implementation"></a><h5>
<a name="id1025084"></a>
<a name="id1001481"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html vendored
View File

@@ -80,7 +80,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/fisher_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.member_functions"></a><h5>
<a name="id1025984"></a>
<a name="id1002791"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.member_functions">Member
Functions</a>
</h5>
@@ -106,7 +106,7 @@
Returns the denominator degrees of freedom parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors"></a><h5>
<a name="id1026138"></a>
<a name="id1002944"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -126,7 +126,7 @@
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.examples"></a><h5>
<a name="id1026238"></a>
<a name="id1003044"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.examples">Examples</a>
</h5>
<p>
@@ -134,7 +134,7 @@
are available illustrating the use of the F Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.accuracy"></a><h5>
<a name="id1026259"></a>
<a name="id1003066"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -143,7 +143,7 @@
refer to those functions for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.implementation"></a><h5>
<a name="id1026286"></a>
<a name="id1003092"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.implementation">Implementation</a>
</h5>
<p>

8
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html vendored
View File

@@ -137,7 +137,7 @@
than a dedicated Erlang Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions"></a><h5>
<a name="id1027340"></a>
<a name="id1004147"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions">Member
Functions</a>
</h5>
@@ -162,7 +162,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors"></a><h5>
<a name="id1027486"></a>
<a name="id1004292"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -182,7 +182,7 @@
The domain of the random variable is [0,+&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy"></a><h5>
<a name="id1029457"></a>
<a name="id1006263"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -194,7 +194,7 @@
refer to the accuracy data for those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.implementation"></a><h5>
<a name="id1029496"></a>
<a name="id1006302"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html vendored
View File

@@ -102,7 +102,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/hypergeometric_pdf_2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.member_functions"></a><h5>
<a name="id1030368"></a>
<a name="id1007174"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.member_functions">Member
Functions</a>
</h5>
@@ -131,7 +131,7 @@
from the population <span class="emphasis"><em>N</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.non_member_accessors"></a><h5>
<a name="id1030547"></a>
<a name="id1007353"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -185,7 +185,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.accuracy"></a><h5>
<a name="id1030697"></a>
<a name="id1007503"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -211,7 +211,7 @@
meaningless for N &gt;= 10<sup>15</sup>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.testing"></a><h5>
<a name="id1030931"></a>
<a name="id1007737"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.testing">Testing</a>
</h5>
<p>
@@ -223,7 +223,7 @@
this implementation and NTL::RR.
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.implementation"></a><h5>
<a name="id1030955"></a>
<a name="id1007761"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html vendored
View File

@@ -81,7 +81,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/laplace_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.member_functions"></a><h5>
<a name="id1031726"></a>
<a name="id1008837"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.member_functions">Member
Functions</a>
</h5>
@@ -113,7 +113,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.non_member_accessors"></a><h5>
<a name="id1031888"></a>
<a name="id1008999"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -133,7 +133,7 @@
The domain of the random variable is [-&#8734;,+&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.accuracy"></a><h5>
<a name="id1031985"></a>
<a name="id1009096"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -141,7 +141,7 @@
log and exp functions and as such should have very small errors.
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.implementation"></a><h5>
<a name="id1032005"></a>
<a name="id1009115"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.implementation">Implementation</a>
</h5>
<p>
@@ -329,7 +329,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.references"></a><h5>
<a name="id1032326"></a>
<a name="id1009437"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

8
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html vendored
View File

@@ -72,7 +72,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/logistic_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.member_functions"></a><h5>
<a name="id1032816"></a>
<a name="id1009927"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.member_functions">Member
Functions</a>
</h5>
@@ -98,7 +98,7 @@
Returns the scale of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.non_member_accessors"></a><h5>
<a name="id1032981"></a>
<a name="id1010092"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -128,7 +128,7 @@ as special cases if RealType
and +<a class="link" href="../../../main_overview/error_handling.html#overflow_error">overflow_error</a> respectively.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.accuracy"></a><h5>
<a name="id1033131"></a>
<a name="id1010242"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -140,7 +140,7 @@ as special cases if RealType
error</em></span> can be guarenteed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.implementation"></a><h5>
<a name="id1033187"></a>
<a name="id1010297"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.implementation">Implementation</a>
</h5>
<div class="informaltable"><table class="table">

8
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html vendored
View File

@@ -88,7 +88,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/lognormal_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions"></a><h5>
<a name="id1033982"></a>
<a name="id1011068"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions">Member
Functions</a>
</h5>
@@ -121,7 +121,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors"></a><h5>
<a name="id1034142"></a>
<a name="id1011227"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -141,7 +141,7 @@
The domain of the random variable is [0,+&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy"></a><h5>
<a name="id1034242"></a>
<a name="id1011327"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -150,7 +150,7 @@
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation"></a><h5>
<a name="id1034269"></a>
<a name="id1011355"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html vendored
View File

@@ -96,7 +96,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_beta_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions"></a><h5>
<a name="id1041350"></a>
<a name="id1018236"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions">Member
Functions</a>
</h5>
@@ -128,7 +128,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors"></a><h5>
<a name="id1041536"></a>
<a name="id1018422"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -152,7 +152,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
The domain of the random variable is [0, 1].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy"></a><h5>
<a name="id1041637"></a>
<a name="id1018523"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -168,7 +168,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
zero error</a>.
</p>
<div class="table">
<a name="id1041672"></a><p class="title"><b>Table&#160;13.&#160;Errors In CDF of the Noncentral Beta</b></p>
<a name="id1018558"></a><p class="title"><b>Table&#160;13.&#160;Errors In CDF of the Noncentral Beta</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Beta">
<colgroup>
<col>
@@ -295,7 +295,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
functions are broadly similar.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests"></a><h5>
<a name="id1041878"></a>
<a name="id1018764"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests">Tests</a>
</h5>
<p>
@@ -307,7 +307,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation"></a><h5>
<a name="id1041902"></a>
<a name="id1018788"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation">Implementation</a>
</h5>
<p>

14
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html vendored
View File

@@ -110,7 +110,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nccs_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions"></a><h5>
<a name="id1042921"></a>
<a name="id1019807"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions">Member
Functions</a>
</h5>
@@ -183,7 +183,7 @@
<span class="special">==</span> <span class="identifier">q</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors"></a><h5>
<a name="id1045021"></a>
<a name="id1021650"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -203,7 +203,7 @@
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples"></a><h5>
<a name="id1045121"></a>
<a name="id1021749"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples">Examples</a>
</h5>
<p>
@@ -211,7 +211,7 @@
example</a> for the noncentral chi-squared distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy"></a><h5>
<a name="id1045149"></a>
<a name="id1021777"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -223,7 +223,7 @@
zero error</a>.
</p>
<div class="table">
<a name="id1045179"></a><p class="title"><b>Table&#160;14.&#160;Errors In CDF of the Noncentral Chi-Squared</b></p>
<a name="id1021807"></a><p class="title"><b>Table&#160;14.&#160;Errors In CDF of the Noncentral Chi-Squared</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Chi-Squared">
<colgroup>
<col>
@@ -359,7 +359,7 @@
produce an accuracy greater than the square root of the machine epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests"></a><h5>
<a name="id1045408"></a>
<a name="id1022036"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests">Tests</a>
</h5>
<p>
@@ -373,7 +373,7 @@
to at least 50 decimal digits - and is the used for our accuracy tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation"></a><h5>
<a name="id1045427"></a>
<a name="id1022055"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html vendored
View File

@@ -95,7 +95,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions"></a><h5>
<a name="id1046280"></a>
<a name="id1022908"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions">Member
Functions</a>
</h5>
@@ -127,7 +127,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors"></a><h5>
<a name="id1046469"></a>
<a name="id1023097"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -147,7 +147,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy"></a><h5>
<a name="id1047861"></a>
<a name="id1026009"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -155,7 +155,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
Beta Distribution</a>: refer to that distribution for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.tests"></a><h5>
<a name="id1047885"></a>
<a name="id1026033"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.tests">Tests</a>
</h5>
<p>
@@ -164,7 +164,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
Math library statistical package</a> and its pbeta and dbeta functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation"></a><h5>
<a name="id1047909"></a>
<a name="id1026057"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html vendored
View File

@@ -85,7 +85,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions"></a><h5>
<a name="id1048804"></a>
<a name="id1026952"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions">Member
Functions</a>
</h5>
@@ -111,7 +111,7 @@
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors"></a><h5>
<a name="id1048944"></a>
<a name="id1027091"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -131,7 +131,7 @@
The domain of the random variable is [-&#8734;, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy"></a><h5>
<a name="id1049043"></a>
<a name="id1027191"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -141,7 +141,7 @@
one shown will have <a class="link" href="../../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
<a name="id1049066"></a><p class="title"><b>Table&#160;15.&#160;Errors In CDF of the Noncentral T Distribution</b></p>
<a name="id1027214"></a><p class="title"><b>Table&#160;15.&#160;Errors In CDF of the Noncentral T Distribution</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral T Distribution">
<colgroup>
<col>
@@ -255,7 +255,7 @@
epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.tests"></a><h5>
<a name="id1049242"></a>
<a name="id1027390"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.tests">Tests</a>
</h5>
<p>
@@ -270,7 +270,7 @@
least 50 decimal places.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation"></a><h5>
<a name="id1049262"></a>
<a name="id1027409"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation">Implementation</a>
</h5>
<p>

24
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html vendored
View File

@@ -123,7 +123,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/negative_binomial_pdf_2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions"></a><h5>
<a name="id1035416"></a>
<a name="id1012502"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions">Related
Distributions</a>
</h5>
@@ -200,12 +200,12 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions"></a><h5>
<a name="id1035527"></a>
<a name="id1012612"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct"></a><h6>
<a name="id1035540"></a>
<a name="id1012625"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">r</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -221,7 +221,7 @@
<span class="special">&lt;=</span> <span class="number">1</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors"></a><h6>
<a name="id1035649"></a>
<a name="id1012735"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span> <span class="comment">// successes / trials (0 &lt;= p &lt;= 1)
@@ -237,7 +237,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p"></a><h6>
<a name="id1035734"></a>
<a name="id1012820"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p">Lower
Bound on Parameter p</a>
</h6>
@@ -298,7 +298,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p"></a><h6>
<a name="id1036002"></a>
<a name="id1013087"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p">Upper
Bound on Parameter p</a>
</h6>
@@ -358,7 +358,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures"></a><h6>
<a name="id1038887"></a>
<a name="id1014749"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures">Estimating
Number of Trials to Ensure at Least a Certain Number of Failures</a>
</h6>
@@ -409,7 +409,7 @@
probability of observing k failures or fewer.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less"></a><h6>
<a name="id1039111"></a>
<a name="id1014973"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less">Estimating
Number of Trials to Ensure a Maximum Number of Failures or Less</a>
</h6>
@@ -457,7 +457,7 @@
probability of observing more than k failures.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors"></a><h5>
<a name="id1039343"></a>
<a name="id1015205"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -478,7 +478,7 @@
in the context of this distribution:
</p>
<div class="table">
<a name="id1039436"></a><p class="title"><b>Table&#160;12.&#160;Meaning of the non-member accessors.</b></p>
<a name="id1015298"></a><p class="title"><b>Table&#160;12.&#160;Meaning of the non-member accessors.</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors.">
<colgroup>
<col>
@@ -606,7 +606,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy"></a><h5>
<a name="id1039855"></a>
<a name="id1015717"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -616,7 +616,7 @@
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation"></a><h5>
<a name="id1039882"></a>
<a name="id1015744"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation">Implementation</a>
</h5>
<p>

8
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html vendored
View File

@@ -79,7 +79,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/normal_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.member_functions"></a><h5>
<a name="id1049976"></a>
<a name="id1028123"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.member_functions">Member
Functions</a>
</h5>
@@ -109,7 +109,7 @@
be used generically).
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors"></a><h5>
<a name="id1050343"></a>
<a name="id1028480"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -131,7 +131,7 @@
and complement cdf -&#8734; = 1 and +&#8734; = 0, if RealType permits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.accuracy"></a><h5>
<a name="id1050441"></a>
<a name="id1028577"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -139,7 +139,7 @@
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.implementation"></a><h5>
<a name="id1050466"></a>
<a name="id1028602"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html vendored
View File

@@ -87,12 +87,12 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/pareto_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.related_distributions"></a><h5>
<a name="id1051249"></a>
<a name="id1029386"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.related_distributions">Related
distributions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.pareto.member_functions"></a><h5>
<a name="id1051267"></a>
<a name="id1029404"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.member_functions">Member
Functions</a>
</h5>
@@ -118,7 +118,7 @@
Returns the <span class="emphasis"><em>shape</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors"></a><h5>
<a name="id1051435"></a>
<a name="id1029572"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -138,7 +138,7 @@
The supported domain of the random variable is [scale, &#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.accuracy"></a><h5>
<a name="id1051535"></a>
<a name="id1029672"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.accuracy">Accuracy</a>
</h5>
<p>
@@ -151,7 +151,7 @@
zero) see also <a class="link" href="../../stat_tut/overview/complements.html#why_complements">why complements?</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.implementation"></a><h5>
<a name="id1051572"></a>
<a name="id1029709"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.implementation">Implementation</a>
</h5>
<p>
@@ -319,7 +319,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.pareto.references"></a><h5>
<a name="id1051879"></a>
<a name="id1030016"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

8
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html vendored
View File

@@ -122,7 +122,7 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions"></a><h5>
<a name="id1052434"></a>
<a name="id1030576"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions">Member
Functions</a>
</h5>
@@ -137,7 +137,7 @@
Returns the <span class="emphasis"><em>mean</em></span> of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors"></a><h5>
<a name="id1052523"></a>
<a name="id1030664"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -157,7 +157,7 @@
The domain of the random variable is [0, &#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy"></a><h5>
<a name="id1052620"></a>
<a name="id1030762"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -171,7 +171,7 @@
using an iterative method with a lower tolerance to avoid excessive computation.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.implementation"></a><h5>
<a name="id1052649"></a>
<a name="id1030790"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html vendored
View File

@@ -86,7 +86,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/rayleigh_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions"></a><h5>
<a name="id1053370"></a>
<a name="id1031512"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions">Related
distributions</a>
</h5>
@@ -102,7 +102,7 @@
distribution</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.member_functions"></a><h5>
<a name="id1053422"></a>
<a name="id1031563"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.member_functions">Member
Functions</a>
</h5>
@@ -121,7 +121,7 @@
Returns the <span class="emphasis"><em>sigma</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors"></a><h5>
<a name="id1053525"></a>
<a name="id1031666"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -141,7 +141,7 @@
The domain of the random variable is [0, max_value].
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.accuracy"></a><h5>
<a name="id1053625"></a>
<a name="id1031766"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.accuracy">Accuracy</a>
</h5>
<p>
@@ -151,7 +151,7 @@
using NTL RR type with 150-bit accuracy, about 50 decimal digits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.implementation"></a><h5>
<a name="id1053658"></a>
<a name="id1031800"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.implementation">Implementation</a>
</h5>
<p>
@@ -320,7 +320,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.references"></a><h5>
<a name="id1053994"></a>
<a name="id1032136"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html vendored
View File

@@ -97,7 +97,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/students_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions"></a><h5>
<a name="id1054575"></a>
<a name="id1032716"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions">Member
Functions</a>
</h5>
@@ -174,7 +174,7 @@
Engineering Statistics Handbook</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors"></a><h5>
<a name="id1056182"></a>
<a name="id1034391"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -194,7 +194,7 @@
The domain of the random variable is [-&#8734;, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.examples"></a><h5>
<a name="id1056281"></a>
<a name="id1034491"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.examples">Examples</a>
</h5>
<p>
@@ -202,7 +202,7 @@
are available illustrating the use of the Student's t distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy"></a><h5>
<a name="id1056308"></a>
<a name="id1034517"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -211,7 +211,7 @@
inverses</a>, refer to accuracy data on those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.implementation"></a><h5>
<a name="id1056339"></a>
<a name="id1034548"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html vendored
View File

@@ -128,7 +128,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/triangular_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions"></a><h5>
<a name="id1057369"></a>
<a name="id1035578"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions">Member
Functions</a>
</h5>
@@ -163,7 +163,7 @@
(default+1).
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors"></a><h5>
<a name="id1057587"></a>
<a name="id1035796"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -184,7 +184,7 @@
range is lower &lt;= x &lt;= upper.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy"></a><h5>
<a name="id1057687"></a>
<a name="id1035896"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -193,7 +193,7 @@
with arguments nearing the extremes of zero and unity.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.implementation"></a><h5>
<a name="id1057708"></a>
<a name="id1035918"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.implementation">Implementation</a>
</h5>
<p>
@@ -378,7 +378,7 @@
Calculate and plot probability distributions</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.references"></a><h5>
<a name="id1058049"></a>
<a name="id1036258"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html vendored
View File

@@ -117,7 +117,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/uniform_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions"></a><h5>
<a name="id1060656"></a>
<a name="id1039270"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions">Member
Functions</a>
</h5>
@@ -144,7 +144,7 @@
Returns the <span class="emphasis"><em>upper</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors"></a><h5>
<a name="id1060822"></a>
<a name="id1039435"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -165,7 +165,7 @@
range is only <span class="emphasis"><em>lower</em></span> &lt;= x &lt;= <span class="emphasis"><em>upper</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy"></a><h5>
<a name="id1060926"></a>
<a name="id1039540"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -173,7 +173,7 @@
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.implementation"></a><h5>
<a name="id1060946"></a>
<a name="id1039559"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.implementation">Implementation</a>
</h5>
<p>
@@ -337,7 +337,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.references"></a><h5>
<a name="id1062055"></a>
<a name="id1040003"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html vendored
View File

@@ -100,7 +100,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/weibull_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.related_distributions"></a><h5>
<a name="id1059345"></a>
<a name="id1037958"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.related_distributions">Related
distributions</a>
</h5>
@@ -114,7 +114,7 @@
Distributions, Theory and Applications Samuel Kotz &amp; Saralees Nadarajah</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.member_functions"></a><h5>
<a name="id1059387"></a>
<a name="id1038000"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.member_functions">Member
Functions</a>
</h5>
@@ -140,7 +140,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors"></a><h5>
<a name="id1059545"></a>
<a name="id1038159"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -160,7 +160,7 @@
The domain of the random variable is [0, &#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.accuracy"></a><h5>
<a name="id1059645"></a>
<a name="id1038258"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.accuracy">Accuracy</a>
</h5>
<p>
@@ -170,7 +170,7 @@
as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.implementation"></a><h5>
<a name="id1059686"></a>
<a name="id1038299"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.implementation">Implementation</a>
</h5>
<p>
@@ -337,7 +337,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.weibull.references"></a><h5>
<a name="id1060013"></a>
<a name="id1038627"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

54
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html vendored
View File

@@ -37,7 +37,7 @@
the function you want if you already know its name.
</p>
<a name="function_index"></a><a name="math_toolkit.dist.dist_ref.nmp.function_index"></a><h5>
<a name="id1002747"></a>
<a name="id979187"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.function_index">Function
Index</a>
</h5>
@@ -95,7 +95,7 @@
</li>
</ul></div>
<a name="concept_index"></a><a name="math_toolkit.dist.dist_ref.nmp.conceptual_index"></a><h5>
<a name="id1002971"></a>
<a name="id979412"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.conceptual_index">Conceptual
Index</a>
</h5>
@@ -182,7 +182,7 @@
</li>
</ul></div>
<a name="math.dist.cdf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function"></a><h5>
<a name="id1003307"></a>
<a name="id979748"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function">Cumulative
Distribution Function</a>
</h5>
@@ -206,7 +206,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cdf.png" alt="cdf"></span>
</p>
<a name="math.dist.ccdf"></a><a name="math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function"></a><h5>
<a name="id1004064"></a>
<a name="id980510"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function">Complement
of the Cumulative Distribution Function</a>
</h5>
@@ -247,7 +247,7 @@
complement is useful and when it should be used.
</p>
<a name="math.dist.hazard"></a><a name="math_toolkit.dist.dist_ref.nmp.hazard_function"></a><h5>
<a name="id1004353"></a>
<a name="id980800"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.hazard_function">Hazard Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -275,7 +275,7 @@
</p></td></tr>
</table></div>
<a name="math.dist.chf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function"></a><h5>
<a name="id1004535"></a>
<a name="id980982"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function">Cumulative
Hazard Function</a>
</h5>
@@ -303,7 +303,7 @@
</p></td></tr>
</table></div>
<a name="math.dist.mean"></a><a name="math_toolkit.dist.dist_ref.nmp.mean"></a><h5>
<a name="id1004718"></a>
<a name="id981164"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mean">mean</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -318,7 +318,7 @@
distribution).
</p>
<a name="math.dist.median"></a><a name="math_toolkit.dist.dist_ref.nmp.median"></a><h5>
<a name="id1004835"></a>
<a name="id981282"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.median">median</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -328,7 +328,7 @@
Returns the median of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math.dist.mode"></a><a name="math_toolkit.dist.dist_ref.nmp.mode"></a><h5>
<a name="id1004944"></a>
<a name="id981391"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mode">mode</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -342,7 +342,7 @@
if the distribution does not have a defined mode.
</p>
<a name="math.dist.pdf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_density_function"></a><h5>
<a name="id1005060"></a>
<a name="id981506"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_density_function">Probability
Density Function</a>
</h5>
@@ -371,7 +371,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/pdf.png" alt="pdf"></span>
</p>
<a name="math.dist.range"></a><a name="math_toolkit.dist.dist_ref.nmp.range"></a><h5>
<a name="id1005229"></a>
<a name="id981676"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.range">range</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -381,7 +381,7 @@
Returns the valid range of the random variable over distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math.dist.quantile"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile"></a><h5>
<a name="id1005364"></a>
<a name="id981811"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile">Quantile</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -410,7 +410,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/quantile.png" alt="quantile"></span>
</p>
<a name="math.dist.quantile_c"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_"></a><h5>
<a name="id1005588"></a>
<a name="id982034"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_">Quantile
from the complement of the probability.</a>
</h5>
@@ -456,7 +456,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/survival_inv.png" alt="survival_inv"></span>
</p>
<a name="math.dist.sd"></a><a name="math_toolkit.dist.dist_ref.nmp.standard_deviation"></a><h5>
<a name="id1005928"></a>
<a name="id982375"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.standard_deviation">Standard
Deviation</a>
</h5>
@@ -471,7 +471,7 @@
if the distribution does not have a defined standard deviation.
</p>
<a name="math.dist.support"></a><a name="math_toolkit.dist.dist_ref.nmp.support"></a><h5>
<a name="id1006048"></a>
<a name="id982495"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.support">support</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -488,7 +488,7 @@
where the pdf is zero, and the cdf zero or unity.
</p>
<a name="math.dist.variance"></a><a name="math_toolkit.dist.dist_ref.nmp.variance"></a><h5>
<a name="id1006807"></a>
<a name="id984284"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.variance">Variance</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -502,7 +502,7 @@
if the distribution does not have a defined variance.
</p>
<a name="math.dist.skewness"></a><a name="math_toolkit.dist.dist_ref.nmp.skewness"></a><h5>
<a name="id1006926"></a>
<a name="id984403"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.skewness">Skewness</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -516,7 +516,7 @@
if the distribution does not have a defined skewness.
</p>
<a name="math.dist.kurtosis"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis"></a><h5>
<a name="id1007045"></a>
<a name="id984522"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis">Kurtosis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -558,7 +558,7 @@
'Proper' kurtosis can have a value from zero to + infinity.
</p>
<a name="math.dist.kurtosis_excess"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis_excess"></a><h5>
<a name="id1007253"></a>
<a name="id984729"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis_excess">Kurtosis
excess</a>
</h5>
@@ -593,7 +593,7 @@
The kurtosis excess of a normal distribution is zero.
</p>
<a name="cdfPQ"></a><a name="math_toolkit.dist.dist_ref.nmp.p_and_q"></a><h5>
<a name="id1007437"></a>
<a name="id984914"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.p_and_q">P and Q</a>
</h5>
<p>
@@ -603,7 +603,7 @@
returned by these functions.
</p>
<a name="percent"></a><a name="math_toolkit.dist.dist_ref.nmp.percent_point_function"></a><h5>
<a name="id1007467"></a>
<a name="id984944"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.percent_point_function">Percent
Point Function</a>
</h5>
@@ -612,7 +612,7 @@
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="cdf_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_"></a><h5>
<a name="id1007493"></a>
<a name="id984969"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_">Inverse
CDF Function.</a>
</h5>
@@ -621,7 +621,7 @@
<a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="survival_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_survival_function_"></a><h5>
<a name="id1007520"></a>
<a name="id984997"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_survival_function_">Inverse
Survival Function.</a>
</h5>
@@ -629,7 +629,7 @@
The inverse of the survival function, is the same as computing the <a class="link" href="nmp.html#math.dist.quantile_c">quantile from the complement of the probability</a>.
</p>
<a name="pmf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_mass_function"></a><h5>
<a name="id1007550"></a>
<a name="id985027"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_mass_function">Probability
Mass Function</a>
</h5>
@@ -643,7 +643,7 @@
applies to continuous distributions.
</p>
<a name="lower_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.lower_critical_value_"></a><h5>
<a name="id1007589"></a>
<a name="id985065"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.lower_critical_value_">Lower
Critical Value.</a>
</h5>
@@ -653,7 +653,7 @@
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="upper_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.upper_critical_value_"></a><h5>
<a name="id1007614"></a>
<a name="id985091"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.upper_critical_value_">Upper
Critical Value.</a>
</h5>
@@ -664,7 +664,7 @@
complement of the probability</a>.
</p>
<a name="survival"></a><a name="math_toolkit.dist.dist_ref.nmp.survival_function"></a><h5>
<a name="id1007640"></a>
<a name="id985117"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.survival_function">Survival
Function</a>
</h5>

8
doc/sf_and_dist/html/math_toolkit/dist/future.html vendored
View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.dist.future"></a><a class="link" href="future.html" title="Extras/Future Directions"> Extras/Future Directions</a>
</h3></div></div></div>
<a name="math_toolkit.dist.future.adding_additional_location_and_scale_parameters"></a><h5>
<a name="id1063153"></a>
<a name="id1041101"></a>
<a class="link" href="future.html#math_toolkit.dist.future.adding_additional_location_and_scale_parameters">Adding
Additional Location and Scale Parameters</a>
</h5>
@@ -55,7 +55,7 @@
functions.
</p>
<a name="math_toolkit.dist.future.an__quot_any_distribution_quot__class"></a><h5>
<a name="id1063318"></a>
<a name="id1041265"></a>
<a class="link" href="future.html#math_toolkit.dist.future.an__quot_any_distribution_quot__class">An
"any_distribution" class</a>
</h5>
@@ -84,7 +84,7 @@
use case: this needs more investigation.
</p>
<a name="math_toolkit.dist.future.higher_level_hypothesis_tests"></a><h5>
<a name="id1063526"></a>
<a name="id1041474"></a>
<a class="link" href="future.html#math_toolkit.dist.future.higher_level_hypothesis_tests">Higher
Level Hypothesis Tests</a>
</h5>
@@ -104,7 +104,7 @@
<span class="emphasis"><em>expected_mean</em></span>.
</p>
<a name="math_toolkit.dist.future.integration_with_statistical_accumulators"></a><h5>
<a name="id1063688"></a>
<a name="id1041636"></a>
<a class="link" href="future.html#math_toolkit.dist.future.integration_with_statistical_accumulators">Integration
With Statistical Accumulators</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html vendored
View File

@@ -498,7 +498,7 @@ Probability of getting between 4 and 4 answers right by guessing is 0.2252
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments"></a>
</p>
<h5>
<a name="id956292"></a>
<a name="id933341"></a>
<a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments">Using
Binomial distribution moments</a>
</h5>
@@ -535,7 +535,7 @@ Skewness is 0.2887
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles"></a>
</p>
<h5>
<a name="id956664"></a>
<a name="id933713"></a>
<a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles">Quantiles</a>
</h5>
<p>

2
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html vendored
View File

@@ -139,7 +139,7 @@ _____________________________________________
is between 0.00551 and 0.00729.
</p>
<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations"></a><h5>
<a name="id939249"></a>
<a name="id915608"></a>
<a class="link" href="chi_sq_intervals.html#math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations">Confidence
intervals as a function of the number of observations</a>
</h5>

2
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html vendored
View File

@@ -332,7 +332,7 @@ error C3861: 'mybetad0': identifier not found
<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_"></a>
</p>
<h6>
<a name="id930232"></a>
<a name="id907007"></a>
<a class="link" href="dist_construct_eg.html#math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_">Default
arguments to distribution constructors.</a>
</h6>

2
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html vendored
View File

@@ -177,7 +177,7 @@ Normal distribution with mean = 1.09023 has fraction &gt; -2, p = 0.999
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location"></a>
</p>
<h5>
<a name="id990115"></a>
<a name="id966827"></a>
<a class="link" href="find_location_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location">Controlling
Error Handling from find_location</a>
</h5>

6
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html vendored
View File

@@ -62,7 +62,7 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications"></a>
</p>
<h5>
<a name="id995309"></a>
<a name="id972437"></a>
<a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications">Using
find_location and find_scale to meet dispensing and measurement specifications</a>
</h5>
@@ -246,7 +246,7 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution"></a>
</p>
<h5>
<a name="id996530"></a>
<a name="id973794"></a>
<a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution">Using
Cauchy-Lorentz instead of normal distribution</a>
</h5>
@@ -397,7 +397,7 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation"></a>
</p>
<h5>
<a name="id997178"></a>
<a name="id974442"></a>
<a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation">Changing
the scale or standard deviation</a>
</h5>

2
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html vendored
View File

@@ -179,7 +179,7 @@ Normal distribution with mean = 0 has fraction &gt; -2, p = 0.999
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled"></a>
</p>
<h5>
<a name="id992591"></a>
<a name="id969651"></a>
<a class="link" href="find_scale_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled">Controlling
how Errors from find_scale are handled</a>
</h5>

14
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html vendored
View File

@@ -32,7 +32,7 @@
illustrates their use.
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables"></a><h5>
<a name="id974782"></a>
<a name="id951363"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables">Traditional
Tables</a>
</h5>
@@ -278,7 +278,7 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean"></a><h5>
<a name="id978207"></a>
<a name="id955329"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean">Standard
deviations either side of the Mean</a>
</h5>
@@ -346,12 +346,12 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples"></a><h5>
<a name="id978734"></a>
<a name="id955855"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples">Some
simple examples</a>
</h5>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.life_of_light_bulbs"></a><h5>
<a name="id978747"></a>
<a name="id955869"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.life_of_light_bulbs">Life
of light bulbs</a>
</h5>
@@ -435,7 +435,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_"></a><h5>
<a name="id979564"></a>
<a name="id956412"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_">How
many onions?</a>
</h5>
@@ -494,7 +494,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef"></a><h5>
<a name="id979982"></a>
<a name="id956830"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef">Packing
beef</a>
</h5>
@@ -703,7 +703,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts"></a><h5>
<a name="id982755"></a>
<a name="id959877"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts">Length
of bolts</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/extern_c/c99.html
View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.extern_c.c99"></a><a class="link" href="c99.html" title="C99 C Functions"> C99 C Functions</a>
</h3></div></div></div>
<a name="math_toolkit.extern_c.c99.supported_c99_functions"></a><h5>
<a name="id1170441"></a>
<a name="id1147510"></a>
<a class="link" href="c99.html#math_toolkit.extern_c.c99.supported_c99_functions">Supported
C99 Functions</a>
</h5>
@@ -138,7 +138,7 @@
</span><span class="identifier">acosh</span><span class="special">(</span><span class="number">2</span><span class="special">);</span> <span class="comment">// integer argument is treated as a double, returns double.
</span></pre>
<a name="math_toolkit.extern_c.c99.quick_reference"></a><h5>
<a name="id1173804"></a>
<a name="id1150328"></a>
<a class="link" href="c99.html#math_toolkit.extern_c.c99.quick_reference">Quick Reference</a>
</h5>
<p>

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@@ -285,7 +285,7 @@
<a name="math_toolkit.extern_c.tr1.usage_recomendations"></a>
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<h5>
<a name="id1160262"></a>
<a name="id1137332"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.usage_recomendations">Usage Recomendations</a>
</h5>
<p>
@@ -336,7 +336,7 @@
<a name="math_toolkit.extern_c.tr1.supported_c99_functions"></a>
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<a name="id1160465"></a>
<a name="id1137535"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.supported_c99_functions">Supported
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</h5>
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<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.supported_tr1_functions">Supported
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<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.currently_unsupported_c99_functions">Currently
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<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.currently_unsupported_tr1_functions">Currently
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</h5>

6
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@@ -28,7 +28,7 @@
Reference</a>
</h3></div></div></div>
<a name="math_toolkit.extern_c.tr1_ref.supported_tr1_functions"></a><h5>
<a name="id1177782"></a>
<a name="id1154851"></a>
<a class="link" href="tr1_ref.html#math_toolkit.extern_c.tr1_ref.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
@@ -163,7 +163,7 @@
</span><span class="identifier">expint</span><span class="special">(</span><span class="number">2</span><span class="special">);</span> <span class="comment">// integer argument is treated as a double, returns double.
</span></pre>
<a name="math_toolkit.extern_c.tr1_ref.quick_reference"></a><h5>
<a name="id1180777"></a>
<a name="id1157847"></a>
<a class="link" href="tr1_ref.html#math_toolkit.extern_c.tr1_ref.quick_reference">Quick Reference</a>
</h5>
<pre class="programlisting"><span class="comment">// [5.2.1.1] associated Laguerre polynomials:
@@ -494,7 +494,7 @@
for the full template (header only) version of this function.
</p>
<a name="math_toolkit.extern_c.tr1_ref.currently_unsupported_tr1_functions"></a><h5>
<a name="id1186146"></a>
<a name="id1163761"></a>
<a class="link" href="tr1_ref.html#math_toolkit.extern_c.tr1_ref.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>

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@@ -28,7 +28,7 @@
the Library and its Examples and Tests</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.building.building_the_library"></a><h5>
<a name="id913889"></a>
<a name="id890265"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_library">Building
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</h5>
@@ -93,7 +93,7 @@
building the sources. Boost.Build will do this automatically when appropriate.
</p>
<a name="math_toolkit.main_overview.building.building_the_examples"></a><h5>
<a name="id914334"></a>
<a name="id890710"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_examples">Building
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</h5>
@@ -104,7 +104,7 @@
the Boost headers are in your compilers #include search path.
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<a name="math_toolkit.main_overview.building.building_the_tests"></a><h5>
<a name="id914375"></a>
<a name="id890751"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_tests">Building
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</h5>

4
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@@ -37,7 +37,7 @@
<p>
</p>
<div class="table">
<a name="id912679"></a><p class="title"><b>Table&#160;9.&#160;Supported/Tested Compilers</b></p>
<a name="id889056"></a><p class="title"><b>Table&#160;9.&#160;Supported/Tested Compilers</b></p>
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@@ -549,7 +549,7 @@
<p><br class="table-break">
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<div class="table-contents"><table class="table" summary="Unsupported Compilers">
<colgroup>
<col>

4
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@@ -28,7 +28,7 @@
File Structure</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.directories.boost_math"></a><h5>
<a name="id898576"></a>
<a name="id875500"></a>
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<a name="id883296"></a>
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</h5>
<div class="variablelist">

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@@ -27,7 +27,7 @@
<a name="math_toolkit.main_overview.error_handling"></a><a class="link" href="error_handling.html" title="Error Handling"> Error Handling</a>
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<a name="id907304"></a>
<a name="id884228"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.quick_reference">Quick
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@@ -80,7 +80,7 @@
Occurs when the argument to one of the rounding functions <a class="link" href="../utils/rounding/trunc.html" title="Truncation Functions">trunc</a>,
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be represented as an integer type, is outide the range of the result
type.
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@@ -134,7 +134,7 @@
the default action for each error shown in bold:
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<div class="table-contents"><table class="table" summary="Possible Actions for Domain Errors">
<colgroup>
<col>
@@ -209,7 +209,7 @@
</table></div>
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<a name="id884738"></a><p class="title"><b>Table&#160;2.&#160;Possible Actions for Pole Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Pole Errors">
<colgroup>
<col>
@@ -284,7 +284,7 @@
</table></div>
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<a name="id884984"></a><p class="title"><b>Table&#160;3.&#160;Possible Actions for Overflow Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Overflow Errors">
<colgroup>
<col>
@@ -359,7 +359,7 @@
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<a name="id885230"></a><p class="title"><b>Table&#160;4.&#160;Possible Actions for Underflow Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Underflow Errors">
<colgroup>
<col>
@@ -434,7 +434,7 @@
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<a name="id909040"></a><p class="title"><b>Table&#160;5.&#160;Possible Actions for Denorm Errors</b></p>
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<div class="table-contents"><table class="table" summary="Possible Actions for Denorm Errors">
<colgroup>
<col>
@@ -509,7 +509,7 @@
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<a name="id885595"></a><p class="title"><b>Table&#160;6.&#160;Possible Actions for Rounding Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Rounding Errors">
<colgroup>
<col>
@@ -584,7 +584,7 @@
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<a name="id885785"></a><p class="title"><b>Table&#160;7.&#160;Possible Actions for Internal Evaluation Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Internal Evaluation Errors">
<colgroup>
<col>
@@ -659,7 +659,7 @@
</table></div>
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<br class="table-break"><div class="table">
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<a name="id885973"></a><p class="title"><b>Table&#160;8.&#160;Possible Actions for Indeterminate Result Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Indeterminate Result Errors">
<colgroup>
<col>
@@ -735,7 +735,7 @@
</table></div>
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<br class="table-break"><a name="math_toolkit.main_overview.error_handling.rationale"></a><h5>
<a name="id909794"></a>
<a name="id886167"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.rationale">Rationale</a>
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<p>
@@ -754,7 +754,7 @@
</li>
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<a name="id909829"></a>
<a name="id886201"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.finding_more_information">Finding
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</h5>
@@ -776,7 +776,7 @@
The various kind of errors are described in more detail below.
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<a name="domain_error"></a><a name="math_toolkit.main_overview.error_handling.domain_errors"></a><h5>
<a name="id909881"></a>
<a name="id886254"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.domain_errors">Domain
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</h5>
@@ -848,7 +848,7 @@
for more details.
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<a name="pole_error"></a><a name="math_toolkit.main_overview.error_handling.evaluation_at_a_pole"></a><h5>
<a name="id910130"></a>
<a name="id886503"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_at_a_pole">Evaluation
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</h5>
@@ -887,7 +887,7 @@
for more details.
</p>
<a name="overflow_error"></a><a name="math_toolkit.main_overview.error_handling.numeric_overflow"></a><h5>
<a name="id910337"></a>
<a name="id886710"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_overflow">Numeric
Overflow</a>
</h5>
@@ -912,7 +912,7 @@
doesn't support infinities, the maximum value for the type is returned.
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<a name="underflow_error"></a><a name="math_toolkit.main_overview.error_handling.numeric_underflow"></a><h5>
<a name="id910526"></a>
<a name="id886899"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_underflow">Numeric
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</h5>
@@ -935,7 +935,7 @@
an <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">underflow_error</span></code> C++ exception.
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<a name="denorm_error"></a><a name="math_toolkit.main_overview.error_handling.denormalisation_errors"></a><h5>
<a name="id910671"></a>
<a name="id887044"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.denormalisation_errors">Denormalisation
Errors</a>
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@@ -958,7 +958,7 @@
throws an <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">underflow_error</span></code> C++ exception.
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<a name="evaluation_error"></a><a name="math_toolkit.main_overview.error_handling.evaluation_errors"></a><h5>
<a name="id910833"></a>
<a name="id887206"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_errors">Evaluation
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</h5>
@@ -995,7 +995,7 @@
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<a name="indeterminate_result_error"></a><a name="math_toolkit.main_overview.error_handling.indeterminate_result_errors"></a><h5>
<a name="id911048"></a>
<a name="id887421"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.indeterminate_result_errors">Indeterminate
Result Errors</a>
</h5>
@@ -1022,7 +1022,7 @@
the result of 0<sup>0</sup> is 1, even though the result is actually mathematically indeterminate.
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<a name="rounding_error"></a><a name="math_toolkit.main_overview.error_handling.rounding_errors"></a><h5>
<a name="id911198"></a>
<a name="id887571"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.rounding_errors">Rounding
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</h5>
@@ -1062,7 +1062,7 @@
for more details.
</p>
<a name="checked_narrowing_cast"></a><a name="math_toolkit.main_overview.error_handling.errors_from_typecasts"></a><h5>
<a name="id912522"></a>
<a name="id888898"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.errors_from_typecasts">Errors
from typecasts</a>
</h5>

33
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@@ -31,19 +31,26 @@
<a name="math_toolkit.main_overview.history1.boost_1_44_0"></a>
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<h5>
<a name="id914610"></a>
<a name="id891532"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_44_0">Boost-1.44.0</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul type="disc"><li>
<div class="itemizedlist"><ul type="disc">
<li>
Fixed incorrect range and support for Rayleigh distribution.
</li></ul></div>
</li>
<li>
Fixed numerical error in the quantile of the Student's T distribution:
the function was returning garbage values for non-integer degrees of
freedom between 2 and 3.
</li>
</ul></div>
<p>
<a name="math_toolkit.main_overview.history1.boost_1_41_0"></a>
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<h5>
<a name="id914634"></a>
<a name="id891563"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_41_0">Boost-1.41.0</a>
</h5>
<p>
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<a name="id891587"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_40_0">Boost-1.40.0</a>
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<p>
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<a name="id891676"></a>
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<p>
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<p>
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<a name="id891736"></a>
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<p>
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<a name="id914978"></a>
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<a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_4__second_review_candidate__1st_march_2007_">Milestone
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<a name="id891940"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_3__first_review_candidate__31st_dec_2006_">Milestone
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<a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_2__released_september_10th_2006">Milestone
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</h5>

6
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@@ -30,7 +30,7 @@
This library is divided into three interconnected parts:
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<a name="math_toolkit.main_overview.intro.statistical_distributions"></a><h5>
<a name="id898139"></a>
<a name="id875064"></a>
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tests.
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<span class="keyword">double</span></code>.
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<a class="link" href="intro.html#math_toolkit.main_overview.intro.implementation_toolkit">Implementation
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</h5>

2
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@@ -31,7 +31,7 @@
as handy shortcuts for common navigation tasks.
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<div class="blockquote"><blockquote class="blockquote">

10
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@@ -286,7 +286,7 @@
<a name="math_toolkit.main_overview.tr1.usage_recomendations"></a>
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<a name="id915830"></a>
<a name="id892759"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.supported_c99_functions">Supported
C99 Functions</a>
</h5>
@@ -442,7 +442,7 @@
<a name="math_toolkit.main_overview.tr1.supported_tr1_functions"></a>
</p>
<h5>
<a name="id918142"></a>
<a name="id894935"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
@@ -581,7 +581,7 @@
<a name="math_toolkit.main_overview.tr1.currently_unsupported_c99_functions"></a>
</p>
<h5>
<a name="id922661"></a>
<a name="id899454"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_c99_functions">Currently
Unsupported C99 Functions</a>
</h5>
@@ -652,7 +652,7 @@
<a name="math_toolkit.main_overview.tr1.currently_unsupported_tr1_functions"></a>
</p>
<h5>
<a name="id924875"></a>
<a name="id901122"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>

2
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@@ -35,7 +35,7 @@
in this respect).
</p>
<div class="table">
<a name="id1269911"></a><p class="title"><b>Table&#160;48.&#160;Performance Comparison of Various Windows Compilers</b></p>
<a name="id1246891"></a><p class="title"><b>Table&#160;48.&#160;Performance Comparison of Various Windows Compilers</b></p>
<div class="table-contents"><table class="table" summary="Performance Comparison of Various Windows Compilers">
<colgroup>
<col>

58
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View File

@@ -46,7 +46,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.perf.comparisons.comparison_to_gsl_1_13_and_cephes"></a><h5>
<a name="id1273166"></a>
<a name="id1250744"></a>
<a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_gsl_1_13_and_cephes">Comparison
to GSL-1.13 and Cephes</a>
</h5>
@@ -344,7 +344,7 @@
</td>
<td>
<p>
+INF <sup>[<a name="id1273744" href="#ftn.id1273744" class="footnote">1</a>]</sup>
+INF <sup>[<a name="id1251334" href="#ftn.id1251334" class="footnote">1</a>]</sup>
</p>
</td>
</tr>
@@ -423,7 +423,7 @@
<td>
<p>
</p>
<p>17.89<sup>[<a name="id1273901" href="#ftn.id1273901" class="footnote">2</a>]</sup></p>
<p>17.89<sup>[<a name="id1251492" href="#ftn.id1251492" class="footnote">2</a>]</sup></p>
<p> </p>
<p>(4.248e-005s)</p>
<p>
@@ -548,11 +548,11 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="4">
<div class="footnote"><p><sup>[<a name="ftn.id1273744" href="#id1273744" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1251334" href="#id1251334" class="para">1</a>] </sup>
Cephes gets stuck in an infinite loop while trying to execute
our test cases.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1273901" href="#id1273901" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1251492" href="#id1251492" class="para">2</a>] </sup>
The performance here is dominated by a few cases where the parameters
grow very large: faster asymptotic expansions are available,
but are of limited (or even frankly terrible) precision. The
@@ -563,7 +563,7 @@
</td></tr></tbody>
</table></div>
<a name="math_toolkit.perf.comparisons.comparison_to_the_r_and_dcdflib_statistical_libraries_on_windows"></a><h5>
<a name="id1274144"></a>
<a name="id1251735"></a>
<a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_and_dcdflib_statistical_libraries_on_windows">Comparison
to the R and DCDFLIB Statistical Libraries on Windows</a>
</h5>
@@ -574,7 +574,7 @@
(R-2.9.2 appears not to be buildable with Visual C++).
</p>
<div class="table">
<a name="id1274158"></a><p class="title"><b>Table&#160;51.&#160;A Comparison to the R Statistical Library on Windows XP</b></p>
<a name="id1251748"></a><p class="title"><b>Table&#160;51.&#160;A Comparison to the R Statistical Library on Windows XP</b></p>
<div class="table-contents"><table class="table" summary="A Comparison to the R Statistical Library on Windows XP">
<colgroup>
<col>
@@ -659,7 +659,7 @@
<td>
<p>
</p>
<p>67.66<sup>[<a name="id1274308" href="#ftn.id1274308" class="footnote">1</a>]</sup></p>
<p>67.66<sup>[<a name="id1251898" href="#ftn.id1251898" class="footnote">1</a>]</sup></p>
<p> </p>
<p>(3.366e-004s)</p>
<p>
@@ -1089,7 +1089,7 @@
<td>
<p>
</p>
<p>3.60<sup>[<a name="id1275066" href="#ftn.id1275066" class="footnote">2</a>]</sup></p>
<p>3.60<sup>[<a name="id1252657" href="#ftn.id1252657" class="footnote">2</a>]</sup></p>
<p> </p>
<p>(5.987e-007s)</p>
<p>
@@ -1319,7 +1319,7 @@
<td>
<p>
</p>
<p>43.43<sup>[<a name="id1276101" href="#ftn.id1276101" class="footnote">3</a>]</sup></p>
<p>43.43<sup>[<a name="id1254161" href="#ftn.id1254161" class="footnote">3</a>]</sup></p>
<p> </p>
<p>(3.732e-004s)</p>
<p>
@@ -1389,7 +1389,7 @@
<td>
<p>
</p>
<p>393.90<sup>[<a name="id1276227" href="#ftn.id1276227" class="footnote">4</a>]</sup></p>
<p>393.90<sup>[<a name="id1254287" href="#ftn.id1254287" class="footnote">4</a>]</sup></p>
<p> </p>
<p>(2.673e-002s)</p>
<p>
@@ -1525,7 +1525,7 @@
<td>
<p>
</p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1276478" href="#ftn.id1276478" class="footnote">5</a>]</sup></p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1254538" href="#ftn.id1254538" class="footnote">5</a>]</sup></p>
<p> </p>
<p>(4.411e-004s)</p>
<p>
@@ -1811,28 +1811,28 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="4">
<div class="footnote"><p><sup>[<a name="ftn.id1274308" href="#id1274308" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1251898" href="#id1251898" class="para">1</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1275066" href="#id1275066" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1252657" href="#id1252657" class="para">2</a>] </sup>
This result is somewhat misleading: for small values of the parameters
there is virtually no difference between the two libraries, but
for large values the Boost implementation is <span class="emphasis"><em>much</em></span>
slower, albeit with much improved precision.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1276101" href="#id1276101" class="para">3</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1254161" href="#id1254161" class="para">3</a>] </sup>
The R library appears to use a linear-search strategy, that can
perform very badly in a small number of pathological cases, but
may or may not be more efficient in "typical" cases
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1276227" href="#id1276227" class="para">4</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1254287" href="#id1254287" class="para">4</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1276478" href="#id1276478" class="para">5</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1254538" href="#id1254538" class="para">5</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
@@ -1841,7 +1841,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux"></a><h5>
<a name="id1276982"></a>
<a name="id1255042"></a>
<a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux">Comparison
to the R Statistical Library on Linux</a>
</h5>
@@ -1851,7 +1851,7 @@
G++ 4.3.3 using -O3 -DNDEBUG=1.
</p>
<div class="table">
<a name="id1276996"></a><p class="title"><b>Table&#160;52.&#160;A Comparison to the R Statistical Library on Linux</b></p>
<a name="id1255056"></a><p class="title"><b>Table&#160;52.&#160;A Comparison to the R Statistical Library on Linux</b></p>
<div class="table-contents"><table class="table" summary="A Comparison to the R Statistical Library on Linux">
<colgroup>
<col>
@@ -1936,7 +1936,7 @@
<td>
<p>
</p>
<p>30.51<sup>[<a name="id1277146" href="#ftn.id1277146" class="footnote">1</a>]</sup></p>
<p>30.51<sup>[<a name="id1255206" href="#ftn.id1255206" class="footnote">1</a>]</sup></p>
<p> </p>
<p>(3.616e-004s)</p>
<p>
@@ -2366,7 +2366,7 @@
<td>
<p>
</p>
<p>2.20<sup>[<a name="id1277902" href="#ftn.id1277902" class="footnote">2</a>]</sup></p>
<p>2.20<sup>[<a name="id1255962" href="#ftn.id1255962" class="footnote">2</a>]</sup></p>
<p> </p>
<p>(3.522e-007s)</p>
<p>
@@ -2596,7 +2596,7 @@
<td>
<p>
</p>
<p>25.92<sup>[<a name="id1278317" href="#ftn.id1278317" class="footnote">3</a>]</sup></p>
<p>25.92<sup>[<a name="id1256513" href="#ftn.id1256513" class="footnote">3</a>]</sup></p>
<p> </p>
<p>(4.407e-004s)</p>
<p>
@@ -2666,7 +2666,7 @@
<td>
<p>
</p>
<p>144.91<sup>[<a name="id1278443" href="#ftn.id1278443" class="footnote">4</a>]</sup></p>
<p>144.91<sup>[<a name="id1256639" href="#ftn.id1256639" class="footnote">4</a>]</sup></p>
<p> </p>
<p>(3.214e-002s)</p>
<p>
@@ -2802,7 +2802,7 @@
<td>
<p>
</p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1278689" href="#ftn.id1278689" class="footnote">5</a>]</sup></p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1256885" href="#ftn.id1256885" class="footnote">5</a>]</sup></p>
<p> </p>
<p>(5.916e-004s)</p>
<p>
@@ -3088,28 +3088,28 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="4">
<div class="footnote"><p><sup>[<a name="ftn.id1277146" href="#id1277146" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1255206" href="#id1255206" class="para">1</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1277902" href="#id1277902" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1255962" href="#id1255962" class="para">2</a>] </sup>
This result is somewhat misleading: for small values of the parameters
there is virtually no difference between the two libraries, but
for large values the Boost implementation is <span class="emphasis"><em>much</em></span>
slower, albeit with much improved precision.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1278317" href="#id1278317" class="para">3</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1256513" href="#id1256513" class="para">3</a>] </sup>
The R library appears to use a linear-search strategy, that can
perform very badly in a small number of pathological cases, but
may or may not be more efficient in "typical" cases
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1278443" href="#id1278443" class="para">4</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1256639" href="#id1256639" class="para">4</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1278689" href="#id1278689" class="para">5</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1256885" href="#id1256885" class="para">5</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.

2
doc/sf_and_dist/html/math_toolkit/perf/getting_best.html
View File

@@ -33,7 +33,7 @@
penalty for using the library in debug mode can be quite large.
</p>
<div class="table">
<a name="id1269428"></a><p class="title"><b>Table&#160;47.&#160;Performance Comparison of Release and Debug Settings</b></p>
<a name="id1246407"></a><p class="title"><b>Table&#160;47.&#160;Performance Comparison of Release and Debug Settings</b></p>
<div class="table-contents"><table class="table" summary="Performance Comparison of Release and Debug Settings">
<colgroup>
<col>

4
doc/sf_and_dist/html/math_toolkit/perf/tuning.html
View File

@@ -238,7 +238,7 @@
highly vectorisable processors in the future.
</p>
<div class="table">
<a name="id1271971"></a><p class="title"><b>Table&#160;49.&#160;A Comparison of Polynomial Evaluation Methods</b></p>
<a name="id1249549"></a><p class="title"><b>Table&#160;49.&#160;A Comparison of Polynomial Evaluation Methods</b></p>
<div class="table-contents"><table class="table" summary="A Comparison of Polynomial Evaluation Methods">
<colgroup>
<col>
@@ -638,7 +638,7 @@
tutorial</a>.
</p>
<div class="table">
<a name="id1272669"></a><p class="title"><b>Table&#160;50.&#160;Performance Comparison with and Without Internal Promotion to long
<a name="id1250248"></a><p class="title"><b>Table&#160;50.&#160;Performance Comparison with and Without Internal Promotion to long
double</b></p>
<div class="table-contents"><table class="table" summary="Performance Comparison with and Without Internal Promotion to long
double">

12
doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html
View File

@@ -55,7 +55,7 @@
can take have the following meanings:
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.real"></a><h6>
<a name="id1260591"></a>
<a name="id1238116"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.real">real</a>
</h6>
<p>
@@ -93,7 +93,7 @@
<span class="special">=</span> <span class="number">68.1584</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_outwards"></a><h6>
<a name="id1260944"></a>
<a name="id1238469"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_outwards">integer_round_outwards</a>
</h6>
<p>
@@ -151,7 +151,7 @@
in each tail</em></span>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_inwards"></a><h6>
<a name="id1261329"></a>
<a name="id1238854"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_inwards">integer_round_inwards</a>
</h6>
<p>
@@ -214,7 +214,7 @@
in each tail</em></span>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_down"></a><h6>
<a name="id1261824"></a>
<a name="id1239350"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_down">integer_round_down</a>
</h6>
<p>
@@ -222,7 +222,7 @@
or a lower quantile.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_up"></a><h6>
<a name="id1261843"></a>
<a name="id1239369"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_up">integer_round_up</a>
</h6>
<p>
@@ -230,7 +230,7 @@
a lower quantile.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_nearest"></a><h6>
<a name="id1261862"></a>
<a name="id1239388"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_nearest">integer_round_nearest</a>
</h6>
<p>

14
doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html
View File

@@ -39,7 +39,7 @@
</li>
</ul></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.available_actions_when_an_error_is_raised"></a><h5>
<a name="id1254443"></a>
<a name="id1231136"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.available_actions_when_an_error_is_raised">Available
Actions When an Error is Raised</a>
</h5>
@@ -62,7 +62,7 @@
The various enumerated values have the following meanings:
</p>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.throw_on_error"></a><h6>
<a name="id1254624"></a>
<a name="id1231318"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.throw_on_error">throw_on_error</a>
</h6>
<p>
@@ -174,7 +174,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.errno_on_error"></a><h6>
<a name="id1254810"></a>
<a name="id1231504"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.errno_on_error">errno_on_error</a>
</h6>
<p>
@@ -287,7 +287,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.ignore_error"></a><h6>
<a name="id1255000"></a>
<a name="id1231693"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.ignore_error">ignore_error</a>
</h6>
<p>
@@ -400,7 +400,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.user_error"></a><h6>
<a name="id1255193"></a>
<a name="id1231886"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.user_error">user_error</a>
</h6>
<p>
@@ -449,7 +449,7 @@
here</a>.
</p>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.kinds_of_error_raised"></a><h5>
<a name="id1257189"></a>
<a name="id1232804"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.kinds_of_error_raised">Kinds
of Error Raised</a>
</h5>
@@ -689,7 +689,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.examples"></a><h5>
<a name="id1258030"></a>
<a name="id1233645"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.examples">Examples</a>
</h5>
<p>

2
doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html
View File

@@ -84,7 +84,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.internal_promotion.examples"></a><h5>
<a name="id1258978"></a>
<a name="id1234593"></a>
<a class="link" href="internal_promotion.html#math_toolkit.policy.pol_ref.internal_promotion.examples">Examples</a>
</h5>
<p>

32
doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html
View File

@@ -61,7 +61,7 @@
then you can do so by defining various macros in <a href="../../../../../../../../boost/math/tools/user.hpp" target="_top">boost/math/tools/user.hpp</a>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_domain_error_policy"></a><h6>
<a name="id1263157"></a>
<a name="id1240683"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_domain_error_policy">BOOST_MATH_DOMAIN_ERROR_POLICY</a>
</h6>
<p>
@@ -71,7 +71,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_pole_error_policy"></a><h6>
<a name="id1263210"></a>
<a name="id1240736"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_pole_error_policy">BOOST_MATH_POLE_ERROR_POLICY</a>
</h6>
<p>
@@ -81,7 +81,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_overflow_error_policy"></a><h6>
<a name="id1263263"></a>
<a name="id1240788"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_overflow_error_policy">BOOST_MATH_OVERFLOW_ERROR_POLICY</a>
</h6>
<p>
@@ -91,7 +91,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_rounding_error_policy"></a><h6>
<a name="id1263316"></a>
<a name="id1240841"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_rounding_error_policy">BOOST_MATH_ROUNDING_ERROR_POLICY</a>
</h6>
<p>
@@ -101,7 +101,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_evaluation_error_policy"></a><h6>
<a name="id1263368"></a>
<a name="id1240894"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_evaluation_error_policy">BOOST_MATH_EVALUATION_ERROR_POLICY</a>
</h6>
<p>
@@ -111,7 +111,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_underflow_error_policy"></a><h6>
<a name="id1263421"></a>
<a name="id1240947"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_underflow_error_policy">BOOST_MATH_UNDERFLOW_ERROR_POLICY</a>
</h6>
<p>
@@ -121,7 +121,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_denorm_error_policy"></a><h6>
<a name="id1263474"></a>
<a name="id1241000"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_denorm_error_policy">BOOST_MATH_DENORM_ERROR_POLICY</a>
</h6>
<p>
@@ -131,7 +131,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_indeterminate_result_error_policy"></a><h6>
<a name="id1263527"></a>
<a name="id1241052"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_indeterminate_result_error_policy">BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY</a>
</h6>
<p>
@@ -142,7 +142,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_digits10_policy"></a><h6>
<a name="id1263580"></a>
<a name="id1241105"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_digits10_policy">BOOST_MATH_DIGITS10_POLICY</a>
</h6>
<p>
@@ -153,7 +153,7 @@
recommended that you change this from the default.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_float_policy"></a><h6>
<a name="id1263604"></a>
<a name="id1241129"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_float_policy">BOOST_MATH_PROMOTE_FLOAT_POLICY</a>
</h6>
<p>
@@ -165,7 +165,7 @@
off.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_double_policy"></a><h6>
<a name="id1263656"></a>
<a name="id1241182"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_double_policy">BOOST_MATH_PROMOTE_DOUBLE_POLICY</a>
</h6>
<p>
@@ -177,7 +177,7 @@
off.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_discrete_quantile_policy"></a><h6>
<a name="id1263714"></a>
<a name="id1241240"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_discrete_quantile_policy">BOOST_MATH_DISCRETE_QUANTILE_POLICY</a>
</h6>
<p>
@@ -188,7 +188,7 @@
Defaults to <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_assert_undefined_policy"></a><h6>
<a name="id1263781"></a>
<a name="id1241307"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_assert_undefined_policy">BOOST_MATH_ASSERT_UNDEFINED_POLICY</a>
</h6>
<p>
@@ -201,7 +201,7 @@
whether or not a particular property is well defined.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_series_iteration_policy"></a><h6>
<a name="id1263812"></a>
<a name="id1241338"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_series_iteration_policy">BOOST_MATH_MAX_SERIES_ITERATION_POLICY</a>
</h6>
<p>
@@ -210,7 +210,7 @@
Defaults to 1000000.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_root_iteration_policy"></a><h6>
<a name="id1263834"></a>
<a name="id1241360"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_root_iteration_policy">BOOST_MATH_MAX_ROOT_ITERATION_POLICY</a>
</h6>
<p>
@@ -219,7 +219,7 @@
Defaults to 200.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.example"></a><h6>
<a name="id1263856"></a>
<a name="id1241381"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.example">Example</a>
</h6>
<p>

2
doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html
View File

@@ -177,7 +177,7 @@
<span class="emphasis"><em>base your comparisons on CDF's instead</em></span>.
</p>
<a name="math_toolkit.policy.pol_tutorial.understand_dis_quant.other_rounding_policies_are_available"></a><h6>
<a name="id1251294"></a>
<a name="id1228397"></a>
<a class="link" href="understand_dis_quant.html#math_toolkit.policy.pol_tutorial.understand_dis_quant.other_rounding_policies_are_available">Other
Rounding Policies are Available</a>
</h6>

14
doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html
View File

@@ -28,7 +28,7 @@
of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.bessel.synopsis"></a><h5>
<a name="id1121376"></a>
<a name="id1099583"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
@@ -44,7 +44,7 @@
<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_neumann</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&amp;);</span>
</pre>
<a name="math_toolkit.special.bessel.bessel.description"></a><h5>
<a name="id1121743"></a>
<a name="id1099950"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.description">Description</a>
</h5>
<p>
@@ -110,7 +110,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cyl_neumann.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.bessel.testing"></a><h5>
<a name="id1122028"></a>
<a name="id1100246"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.testing">Testing</a>
</h5>
<p>
@@ -119,7 +119,7 @@
(with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.bessel.accuracy"></a><h5>
<a name="id1122050"></a>
<a name="id1100268"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.accuracy">Accuracy</a>
</h5>
<p>
@@ -135,7 +135,7 @@
zero error</a>. All values are relative errors in units of epsilon.
</p>
<div class="table">
<a name="id1122082"></a><p class="title"><b>Table&#160;36.&#160;Errors Rates in cyl_bessel_j</b></p>
<a name="id1100300"></a><p class="title"><b>Table&#160;36.&#160;Errors Rates in cyl_bessel_j</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_bessel_j">
<colgroup>
<col>
@@ -304,7 +304,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1122387"></a><p class="title"><b>Table&#160;37.&#160;Errors Rates in cyl_neumann</b></p>
<a name="id1100605"></a><p class="title"><b>Table&#160;37.&#160;Errors Rates in cyl_neumann</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_neumann">
<colgroup>
<col>
@@ -494,7 +494,7 @@
were found.
</p>
<a name="math_toolkit.special.bessel.bessel.implementation"></a><h5>
<a name="id1122772"></a>
<a name="id1100990"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html
View File

@@ -28,7 +28,7 @@
Overview</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.bessel_over.ordinary_bessel_functions"></a><h5>
<a name="id1120626"></a>
<a name="id1098833"></a>
<a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.ordinary_bessel_functions">Ordinary
Bessel Functions</a>
</h5>
@@ -103,7 +103,7 @@ and is known as either a Bessel
<span class="inlinemediaobject"><img src="../../../../equations/bessel10.png"></span>
</p>
<a name="math_toolkit.special.bessel.bessel_over.modified_bessel_functions"></a><h5>
<a name="id1120945"></a>
<a name="id1099152"></a>
<a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.modified_bessel_functions">Modified
Bessel Functions</a>
</h5>
@@ -167,7 +167,7 @@ respectively:
<span class="inlinemediaobject"><img src="../../../../equations/mbessel10.png"></span>
</p>
<a name="math_toolkit.special.bessel.bessel_over.spherical_bessel_functions"></a><h5>
<a name="id1121250"></a>
<a name="id1099457"></a>
<a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.spherical_bessel_functions">Spherical
Bessel Functions</a>
</h5>

14
doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html
View File

@@ -28,7 +28,7 @@
Functions of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.mbessel.synopsis"></a><h5>
<a name="id1123385"></a>
<a name="id1101603"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
@@ -44,7 +44,7 @@
<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_k</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&amp;);</span>
</pre>
<a name="math_toolkit.special.bessel.mbessel.description"></a><h5>
<a name="id1123752"></a>
<a name="id1101970"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.description">Description</a>
</h5>
<p>
@@ -109,7 +109,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cyl_bessel_k.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.mbessel.testing"></a><h5>
<a name="id1124025"></a>
<a name="id1102243"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.testing">Testing</a>
</h5>
<p>
@@ -118,7 +118,7 @@
(with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.mbessel.accuracy"></a><h5>
<a name="id1124046"></a>
<a name="id1102264"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.accuracy">Accuracy</a>
</h5>
<p>
@@ -129,7 +129,7 @@
zero error</a>. All values are relative errors in units of epsilon.
</p>
<div class="table">
<a name="id1124070"></a><p class="title"><b>Table&#160;38.&#160;Errors Rates in cyl_bessel_i</b></p>
<a name="id1102288"></a><p class="title"><b>Table&#160;38.&#160;Errors Rates in cyl_bessel_i</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_bessel_i">
<colgroup>
<col>
@@ -226,7 +226,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1124368"></a><p class="title"><b>Table&#160;39.&#160;Errors Rates in cyl_bessel_k</b></p>
<a name="id1102456"></a><p class="title"><b>Table&#160;39.&#160;Errors Rates in cyl_bessel_k</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in cyl_bessel_k">
<colgroup>
<col>
@@ -326,7 +326,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.bessel.mbessel.implementation"></a><h5>
<a name="id1124530"></a>
<a name="id1102618"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html
View File

@@ -28,7 +28,7 @@
Bessel Functions of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.sph_bessel.synopsis"></a><h5>
<a name="id1125051"></a>
<a name="id1103139"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
@@ -44,7 +44,7 @@
<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sph_neumann</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&amp;);</span>
</pre>
<a name="math_toolkit.special.bessel.sph_bessel.description"></a><h5>
<a name="id1125418"></a>
<a name="id1103506"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.description">Description</a>
</h5>
<p>
@@ -97,7 +97,7 @@ for small <span class="emphasis"><em>x</em></span>:
<span class="inlinemediaobject"><img src="../../../../graphs/sph_neumann.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.sph_bessel.testing"></a><h5>
<a name="id1125616"></a>
<a name="id1103704"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.testing">Testing</a>
</h5>
<p>
@@ -106,7 +106,7 @@ for small <span class="emphasis"><em>x</em></span>:
implementation (with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.sph_bessel.accuracy"></a><h5>
<a name="id1125638"></a>
<a name="id1103726"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.accuracy">Accuracy</a>
</h5>
<p>
@@ -116,7 +116,7 @@ for small <span class="emphasis"><em>x</em></span>:
refer to these functions for accuracy data.
</p>
<a name="math_toolkit.special.bessel.sph_bessel.implementation"></a><h5>
<a name="id1125664"></a>
<a name="id1103752"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html
View File

@@ -28,7 +28,7 @@
of the First Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_1.synopsis"></a><h6>
<a name="id1132406"></a>
<a name="id1109538"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.synopsis">Synopsis</a>
</h6>
<p>
@@ -55,7 +55,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_1.description"></a><h6>
<a name="id1132810"></a>
<a name="id1109942"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.description">Description</a>
</h6>
<p>
@@ -123,7 +123,7 @@
<p>
</p>
<a name="math_toolkit.special.ellint.ellint_1.accuracy"></a><h6>
<a name="id1133275"></a>
<a name="id1110407"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.accuracy">Accuracy</a>
</h6>
<p>
@@ -134,7 +134,7 @@
All values are relative errors in units of epsilon.
</p>
<div class="table">
<a name="id1133293"></a><p class="title"><b>Table&#160;41.&#160;Errors Rates in the Elliptic Integrals of the First Kind</b></p>
<a name="id1110425"></a><p class="title"><b>Table&#160;41.&#160;Errors Rates in the Elliptic Integrals of the First Kind</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Elliptic Integrals of the First Kind">
<colgroup>
<col>
@@ -235,7 +235,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_1.testing"></a><h6>
<a name="id1134621"></a>
<a name="id1111275"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.testing">Testing</a>
</h6>
<p>
@@ -245,7 +245,7 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_1.implementation"></a><h6>
<a name="id1134642"></a>
<a name="id1111296"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.implementation">Implementation</a>
</h6>
<p>

12
doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html
View File

@@ -28,7 +28,7 @@
of the Second Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_2.synopsis"></a><h6>
<a name="id1134723"></a>
<a name="id1111377"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.synopsis">Synopsis</a>
</h6>
<p>
@@ -55,7 +55,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_2.description"></a><h6>
<a name="id1135127"></a>
<a name="id1111781"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.description">Description</a>
</h6>
<p>
@@ -123,7 +123,7 @@
<p>
</p>
<a name="math_toolkit.special.ellint.ellint_2.accuracy"></a><h6>
<a name="id1135592"></a>
<a name="id1112246"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.accuracy">Accuracy</a>
</h6>
<p>
@@ -134,7 +134,7 @@
All values are relative errors in units of epsilon.
</p>
<div class="table">
<a name="id1135610"></a><p class="title"><b>Table&#160;42.&#160;Errors Rates in the Elliptic Integrals of the Second Kind</b></p>
<a name="id1112264"></a><p class="title"><b>Table&#160;42.&#160;Errors Rates in the Elliptic Integrals of the Second Kind</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Elliptic Integrals of the Second Kind">
<colgroup>
<col>
@@ -235,7 +235,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_2.testing"></a><h6>
<a name="id1135778"></a>
<a name="id1112432"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.testing">Testing</a>
</h6>
<p>
@@ -245,7 +245,7 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_2.implementation"></a><h6>
<a name="id1135799"></a>
<a name="id1112453"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.implementation">Implementation</a>
</h6>
<p>

16
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View File

@@ -28,7 +28,7 @@
of the Third Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_3.synopsis"></a><h6>
<a name="id1135880"></a>
<a name="id1112534"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.synopsis">Synopsis</a>
</h6>
<p>
@@ -55,7 +55,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_3.description"></a><h6>
<a name="id1136390"></a>
<a name="id1113044"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.description">Description</a>
</h6>
<p>
@@ -129,7 +129,7 @@
<p>
</p>
<a name="math_toolkit.special.ellint.ellint_3.accuracy"></a><h6>
<a name="id1138630"></a>
<a name="id1114191"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.accuracy">Accuracy</a>
</h6>
<p>
@@ -140,7 +140,7 @@
All values are relative errors in units of epsilon.
</p>
<div class="table">
<a name="id1138648"></a><p class="title"><b>Table&#160;43.&#160;Errors Rates in the Elliptic Integrals of the Third Kind</b></p>
<a name="id1114209"></a><p class="title"><b>Table&#160;43.&#160;Errors Rates in the Elliptic Integrals of the Third Kind</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Elliptic Integrals of the Third Kind">
<colgroup>
<col>
@@ -241,7 +241,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_3.testing"></a><h6>
<a name="id1138814"></a>
<a name="id1114376"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.testing">Testing</a>
</h6>
<p>
@@ -251,7 +251,7 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_3.implementation"></a><h6>
<a name="id1138836"></a>
<a name="id1114398"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.implementation">Implementation</a>
</h6>
<p>
@@ -288,7 +288,7 @@
<span class="emphasis"><em>&#928;(n, &#966;+m&#960;, k) = &#928;(n, &#966;, k) + 2m&#928;(n, k) ; n &lt;= 1</em></span>
</p>
<p>
<span class="emphasis"><em>&#928;(n, &#966;+m&#960;, k) = &#928;(n, &#966;, k) ; n &gt; 1</em></span> <sup>[<a name="id1138950" href="#ftn.id1138950" class="footnote">1</a>]</sup>
<span class="emphasis"><em>&#928;(n, &#966;+m&#960;, k) = &#928;(n, &#966;, k) ; n &gt; 1</em></span> <sup>[<a name="id1114512" href="#ftn.id1114512" class="footnote">1</a>]</sup>
</p>
<p>
are used to move &#966; to the range [0, &#960;/2].
@@ -308,7 +308,7 @@
</p>
<div class="footnotes">
<br><hr width="100" align="left">
<div class="footnote"><p><sup>[<a name="ftn.id1138950" href="#id1138950" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1114512" href="#id1114512" class="para">1</a>] </sup>
I haven't been able to find a literature reference for this relation,
but it appears to be the convention used by Mathematica. Intuitively
the first <span class="emphasis"><em>2 * m * &#928;(n, k)</em></span> terms cancel out as the

12
doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html
View File

@@ -28,7 +28,7 @@
Integrals - Carlson Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_carlson.synopsis"></a><h6>
<a name="id1128231"></a>
<a name="id1105362"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.synopsis">Synopsis</a>
</h6>
<p>
@@ -100,7 +100,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_carlson.description"></a><h6>
<a name="id1129530"></a>
<a name="id1106662"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.description">Description</a>
</h6>
<p>
@@ -236,7 +236,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint18.png"></span>
</p>
<a name="math_toolkit.special.ellint.ellint_carlson.testing"></a><h6>
<a name="id1131916"></a>
<a name="id1109048"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.testing">Testing</a>
</h6>
<p>
@@ -259,7 +259,7 @@
to verify their correctness: see the above Carlson paper for details.
</p>
<a name="math_toolkit.special.ellint.ellint_carlson.accuracy"></a><h6>
<a name="id1131957"></a>
<a name="id1109089"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.accuracy">Accuracy</a>
</h6>
<p>
@@ -270,7 +270,7 @@
All values are relative errors in units of epsilon.
</p>
<div class="table">
<a name="id1131975"></a><p class="title"><b>Table&#160;40.&#160;Errors Rates in the Carlson Elliptic Integrals</b></p>
<a name="id1109107"></a><p class="title"><b>Table&#160;40.&#160;Errors Rates in the Carlson Elliptic Integrals</b></p>
<div class="table-contents"><table class="table" summary="Errors Rates in the Carlson Elliptic Integrals">
<colgroup>
<col>
@@ -413,7 +413,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_carlson.implementation"></a><h6>
<a name="id1132222"></a>
<a name="id1109354"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.implementation">Implementation</a>
</h6>
<p>

12
doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html
View File

@@ -49,14 +49,14 @@
Elliptic integral</a>.
</p>
<a name="math_toolkit.special.ellint.ellint_intro.notation"></a><h5>
<a name="id1125812"></a>
<a name="id1103900"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.notation">Notation</a>
</h5>
<p>
All variables are real numbers unless otherwise noted.
</p>
<a name="ellint_def"></a><a name="math_toolkit.special.ellint.ellint_intro.definition"></a><h5>
<a name="id1125832"></a>
<a name="id1103920"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.definition">Definition</a>
</h5>
<p>
@@ -245,7 +245,7 @@
</td></tr>
</table></div>
<a name="ellint_theorem"></a><a name="math_toolkit.special.ellint.ellint_intro.duplication_theorem"></a><h5>
<a name="id1126432"></a>
<a name="id1104520"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.duplication_theorem">Duplication
Theorem</a>
</h5>
@@ -257,7 +257,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint13.png"></span>
</p>
<a name="ellint_formula"></a><a name="math_toolkit.special.ellint.ellint_intro.carlson_s_formulas"></a><h5>
<a name="id1126486"></a>
<a name="id1104574"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.carlson_s_formulas">Carlson's
Formulas</a>
</h5>
@@ -275,7 +275,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint15.png"></span>
</p>
<a name="math_toolkit.special.ellint.ellint_intro.numerical_algorithms"></a><h5>
<a name="id1127932"></a>
<a name="id1105064"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.numerical_algorithms">Numerical
Algorithms</a>
</h5>
@@ -289,7 +289,7 @@
integrals with satisfactory precisions.
</p>
<a name="ellint_refs"></a><a name="math_toolkit.special.ellint.ellint_intro.references"></a><h5>
<a name="id1127964"></a>
<a name="id1105096"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.references">References</a>
</h5>
<p>

16
doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html
View File

@@ -28,7 +28,7 @@
Integral Ei</a>
</h4></div></div></div>
<a name="math_toolkit.special.expint.expint_i.synopsis"></a><h5>
<a name="id1142412"></a>
<a name="id1119618"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.synopsis">Synopsis</a>
</h5>
<p>
@@ -63,7 +63,7 @@
<p>
</p>
<a name="math_toolkit.special.expint.expint_i.description"></a><h5>
<a name="id1142672"></a>
<a name="id1119878"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -83,7 +83,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expint_i.png" align="middle"></span>
</p>
<a name="math_toolkit.special.expint.expint_i.accuracy"></a><h5>
<a name="id1142870"></a>
<a name="id1120076"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.accuracy">Accuracy</a>
</h5>
<p>
@@ -95,7 +95,7 @@
error</a>.
</p>
<div class="table">
<a name="id1142893"></a><p class="title"><b>Table&#160;46.&#160;Errors In the Function expint(z)</b></p>
<a name="id1120099"></a><p class="title"><b>Table&#160;46.&#160;Errors In the Function expint(z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function expint(z)">
<colgroup>
<col>
@@ -207,7 +207,7 @@
slightly over the range [4,6].
</p>
<a name="math_toolkit.special.expint.expint_i.testing"></a><h5>
<a name="id1143068"></a>
<a name="id1120274"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.testing">Testing</a>
</h5>
<p>
@@ -222,7 +222,7 @@
check.
</p>
<a name="math_toolkit.special.expint.expint_i.implementation"></a><h5>
<a name="id1143095"></a>
<a name="id1120301"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.implementation">Implementation</a>
</h5>
<p>
@@ -252,7 +252,7 @@
a minimax rational approximation rescaled so that it is evaluated over
[-1,1]. Note that while the rational approximation over [0,6] converges
rapidly to the minimax solution it is rather ill-conditioned in practice.
Cody and Thacher <sup>[<a name="id1143182" href="#ftn.id1143182" class="footnote">2</a>]</sup> experienced the same issue and converted the polynomials into
Cody and Thacher <sup>[<a name="id1120388" href="#ftn.id1120388" class="footnote">2</a>]</sup> experienced the same issue and converted the polynomials into
Chebeshev form to ensure stable computation. By experiment we found that
the polynomials are just as stable in polynomial as Chebyshev form, <span class="emphasis"><em>provided</em></span>
they are computed over the interval [-1,1].
@@ -282,7 +282,7 @@
</p>
<div class="footnotes">
<br><hr width="100" align="left">
<div class="footnote"><p><sup>[<a name="ftn.id1143182" href="#id1143182" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1120388" href="#id1120388" class="para">2</a>] </sup>
W. J. Cody and H. C. Thacher, Jr., Rational Chebyshev approximations
for the exponential integral E<sub>1</sub>(x), Math. Comp. 22 (1968), 641-649, and
W. J. Cody and H. C. Thacher, Jr., Chebyshev approximations for the exponential

12
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View File

@@ -28,7 +28,7 @@
Integral En</a>
</h4></div></div></div>
<a name="math_toolkit.special.expint.expint_n.synopsis"></a><h5>
<a name="id1140020"></a>
<a name="id1115582"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.synopsis">Synopsis</a>
</h5>
<p>
@@ -63,7 +63,7 @@
<p>
</p>
<a name="math_toolkit.special.expint.expint_n.description"></a><h5>
<a name="id1140307"></a>
<a name="id1115869"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -83,7 +83,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expint2.png" align="middle"></span>
</p>
<a name="math_toolkit.special.expint.expint_n.accuracy"></a><h5>
<a name="id1141932"></a>
<a name="id1119138"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.accuracy">Accuracy</a>
</h5>
<p>
@@ -94,7 +94,7 @@
the one shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
<a name="id1141955"></a><p class="title"><b>Table&#160;45.&#160;Errors In the Function expint(n, z)</b></p>
<a name="id1119161"></a><p class="title"><b>Table&#160;45.&#160;Errors In the Function expint(n, z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function expint(n, z)">
<colgroup>
<col>
@@ -225,7 +225,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.expint.expint_n.testing"></a><h5>
<a name="id1142174"></a>
<a name="id1119380"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.testing">Testing</a>
</h5>
<p>
@@ -240,7 +240,7 @@
check.
</p>
<a name="math_toolkit.special.expint.expint_n.implementation"></a><h5>
<a name="id1142201"></a>
<a name="id1119407"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html
View File

@@ -65,7 +65,7 @@
if the result is too large to represent in type T.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.accuracy"></a><h5>
<a name="id1084813"></a>
<a name="id1061890"></a>
<a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.accuracy">Accuracy</a>
</h5>
<p>
@@ -74,14 +74,14 @@
function for larger arguments.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.testing"></a><h5>
<a name="id1084834"></a>
<a name="id1061912"></a>
<a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.testing">Testing</a>
</h5>
<p>
The spot tests for the binomial coefficients use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.implementation"></a><h5>
<a name="id1084853"></a>
<a name="id1061931"></a>
<a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html
View File

@@ -64,7 +64,7 @@
of i! is possible.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.accuracy"></a><h5>
<a name="id1083650"></a>
<a name="id1060727"></a>
<a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -72,14 +72,14 @@
so error rates should be no more than a couple of epsilon higher.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.testing"></a><h5>
<a name="id1083671"></a>
<a name="id1060749"></a>
<a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the double factorial use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.implementation"></a><h5>
<a name="id1083691"></a>
<a name="id1060768"></a>
<a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html
View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.special.factorials.sf_factorial"></a><a class="link" href="sf_factorial.html" title="Factorial"> Factorial</a>
</h4></div></div></div>
<a name="math_toolkit.special.factorials.sf_factorial.synopsis"></a><h5>
<a name="id1080425"></a>
<a name="id1058043"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.synopsis">Synopsis</a>
</h5>
<p>
@@ -54,7 +54,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.factorials.sf_factorial.description"></a><h5>
<a name="id1080733"></a>
<a name="id1058351"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -112,7 +112,7 @@
the size of further tables that depend on the factorials.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.accuracy"></a><h5>
<a name="id1081093"></a>
<a name="id1058711"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -121,7 +121,7 @@
will be the same as for <a class="link" href="../sf_gamma/tgamma.html" title="Gamma">tgamma</a>.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.testing"></a><h5>
<a name="id1081136"></a>
<a name="id1058754"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.testing">Testing</a>
</h5>
<p>
@@ -130,7 +130,7 @@
function handle those cases already.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.implementation"></a><h5>
<a name="id1081162"></a>
<a name="id1058779"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html
View File

@@ -76,7 +76,7 @@
the type of the result is T.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.accuracy"></a><h5>
<a name="id1084457"></a>
<a name="id1061535"></a>
<a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -84,14 +84,14 @@
function.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.testing"></a><h5>
<a name="id1084484"></a>
<a name="id1061561"></a>
<a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the falling factorials use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.implementation"></a><h5>
<a name="id1084503"></a>
<a name="id1061580"></a>
<a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html
View File

@@ -80,7 +80,7 @@
the type of the result is T.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.accuracy"></a><h5>
<a name="id1084061"></a>
<a name="id1061139"></a>
<a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -88,14 +88,14 @@
function.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.testing"></a><h5>
<a name="id1084088"></a>
<a name="id1061165"></a>
<a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the rising factorials use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.implementation"></a><h5>
<a name="id1084107"></a>
<a name="id1061184"></a>
<a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html
View File

@@ -67,14 +67,14 @@
<span class="inlinemediaobject"><img src="../../../../graphs/acosh.png" align="middle"></span>
</p>
<a name="math_toolkit.special.inv_hyper.acosh.accuracy"></a><h5>
<a name="id1151156"></a>
<a name="id1127680"></a>
<a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.acosh.testing"></a><h5>
<a name="id1151173"></a>
<a name="id1127696"></a>
<a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.testing">Testing</a>
</h5>
<p>
@@ -90,7 +90,7 @@
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.acosh.implementation"></a><h5>
<a name="id1151217"></a>
<a name="id1127741"></a>
<a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html
View File

@@ -62,14 +62,14 @@
<p>
</p>
<a name="math_toolkit.special.inv_hyper.asinh.accuracy"></a><h5>
<a name="id1151624"></a>
<a name="id1128148"></a>
<a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.asinh.testing"></a><h5>
<a name="id1151641"></a>
<a name="id1128164"></a>
<a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.testing">Testing</a>
</h5>
<p>
@@ -85,7 +85,7 @@
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.asinh.implementation"></a><h5>
<a name="id1151685"></a>
<a name="id1128209"></a>
<a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.implementation">Implementation</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html
View File

@@ -76,14 +76,14 @@ denoting
<span class="inlinemediaobject"><img src="../../../../graphs/atanh.png" align="middle"></span>
</p>
<a name="math_toolkit.special.inv_hyper.atanh.accuracy"></a><h5>
<a name="id1152135"></a>
<a name="id1128659"></a>
<a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.atanh.testing"></a><h5>
<a name="id1152152"></a>
<a name="id1128676"></a>
<a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.testing">Testing</a>
</h5>
<p>
@@ -99,7 +99,7 @@ denoting
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.atanh.implementation"></a><h5>
<a name="id1152197"></a>
<a name="id1128720"></a>
<a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.implementation">Implementation</a>
</h5>
<p>

4
doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html
View File

@@ -71,7 +71,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cbrt.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.cbrt.accuracy"></a><h5>
<a name="id1144882"></a>
<a name="id1121952"></a>
<a class="link" href="cbrt.html#math_toolkit.special.powers.cbrt.accuracy">Accuracy</a>
</h5>
<p>
@@ -79,7 +79,7 @@
should have approximately 2 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.cbrt.testing"></a><h5>
<a name="id1144906"></a>
<a name="id1121976"></a>
<a class="link" href="cbrt.html#math_toolkit.special.powers.cbrt.testing">Testing</a>
</h5>
<p>

14
doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html
View File

@@ -32,7 +32,7 @@
computes the compile-time integral power of a run-time base.
</p>
<a name="math_toolkit.special.powers.ct_pow.synopsis"></a><h5>
<a name="id1146058"></a>
<a name="id1123128"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.synopsis">Synopsis</a>
</h5>
<p>
@@ -49,7 +49,7 @@
<span class="special">}}</span>
</pre>
<a name="math_toolkit.special.powers.ct_pow.rationale_and_usage"></a><h5>
<a name="id1146320"></a>
<a name="id1123389"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.rationale_and_usage">Rationale
and Usage</a>
</h5>
@@ -91,7 +91,7 @@
Only 3 different products were actually computed.
</p>
<a name="math_toolkit.special.powers.ct_pow.return_type"></a><h5>
<a name="id1147691"></a>
<a name="id1124761"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.return_type">Return Type</a>
</h5>
<p>
@@ -112,7 +112,7 @@
</li>
</ul></div>
<a name="math_toolkit.special.powers.ct_pow.policies"></a><h5>
<a name="id1147785"></a>
<a name="id1124854"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.policies">Policies</a>
</h5>
<p>
@@ -126,7 +126,7 @@
<p>
</p>
<a name="math_toolkit.special.powers.ct_pow.error_handling"></a><h5>
<a name="id1147815"></a>
<a name="id1124884"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.error_handling">Error
Handling</a>
</h5>
@@ -232,7 +232,7 @@
<span class="keyword">double</span> <span class="identifier">result</span> <span class="special">=</span> <span class="identifier">pow</span><span class="special">&lt;-</span><span class="number">5</span><span class="special">&gt;(</span><span class="identifier">base</span><span class="special">);</span>
</pre>
<a name="math_toolkit.special.powers.ct_pow.acknowledgements"></a><h5>
<a name="id1148655"></a>
<a name="id1125724"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.acknowledgements">Acknowledgements</a>
</h5>
<p>
@@ -243,7 +243,7 @@
improving the implementation.
</p>
<a name="math_toolkit.special.powers.ct_pow.references"></a><h5>
<a name="id1148675"></a>
<a name="id1125745"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.references">References</a>
</h5>
<p>

4
doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html
View File

@@ -80,7 +80,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.expm1.accuracy"></a><h5>
<a name="id1144539"></a>
<a name="id1121608"></a>
<a class="link" href="expm1.html#math_toolkit.special.powers.expm1.accuracy">Accuracy</a>
</h5>
<p>
@@ -88,7 +88,7 @@
should have approximately 1 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.expm1.testing"></a><h5>
<a name="id1144563"></a>
<a name="id1121632"></a>
<a class="link" href="expm1.html#math_toolkit.special.powers.expm1.testing">Testing</a>
</h5>
<p>

2
doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html
View File

@@ -58,7 +58,7 @@ in such a
representable.
</p>
<a name="math_toolkit.special.powers.hypot.implementation"></a><h5>
<a name="id1145974"></a>
<a name="id1123044"></a>
<a class="link" href="hypot.html#math_toolkit.special.powers.hypot.implementation">Implementation</a>
</h5>
<p>

4
doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html
View File

@@ -93,7 +93,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/log1p.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.log1p.accuracy"></a><h5>
<a name="id1143977"></a>
<a name="id1121183"></a>
<a class="link" href="log1p.html#math_toolkit.special.powers.log1p.accuracy">Accuracy</a>
</h5>
<p>
@@ -101,7 +101,7 @@
should have approximately 1 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.log1p.testing"></a><h5>
<a name="id1144001"></a>
<a name="id1121207"></a>
<a class="link" href="log1p.html#math_toolkit.special.powers.log1p.testing">Testing</a>
</h5>
<p>

4
doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html
View File

@@ -74,14 +74,14 @@
<span class="inlinemediaobject"><img src="../../../../graphs/powm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.powm1.accuracy"></a><h5>
<a name="id1145670"></a>
<a name="id1122740"></a>
<a class="link" href="powm1.html#math_toolkit.special.powers.powm1.accuracy">Accuracy</a>
</h5>
<p>
Should have approximately 2-3 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.powm1.testing"></a><h5>
<a name="id1145687"></a>
<a name="id1122757"></a>
<a class="link" href="powm1.html#math_toolkit.special.powers.powm1.testing">Testing</a>
</h5>
<p>

4
doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html
View File

@@ -76,7 +76,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/sqrt1pm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.sqrt1pm1.accuracy"></a><h5>
<a name="id1145274"></a>
<a name="id1122344"></a>
<a class="link" href="sqrt1pm1.html#math_toolkit.special.powers.sqrt1pm1.accuracy">Accuracy</a>
</h5>
<p>
@@ -84,7 +84,7 @@
should have approximately 3 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.sqrt1pm1.testing"></a><h5>
<a name="id1145298"></a>
<a name="id1122368"></a>
<a class="link" href="sqrt1pm1.html#math_toolkit.special.powers.sqrt1pm1.testing">Testing</a>
</h5>
<p>

8
doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html
View File

@@ -28,7 +28,7 @@
of the Incomplete Beta Function</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.beta_derivative.synopsis"></a><h5>
<a name="id1097767"></a>
<a name="id1076071"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.synopsis">Synopsis</a>
</h5>
<p>
@@ -49,7 +49,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.beta_derivative.description"></a><h5>
<a name="id1098102"></a>
<a name="id1076405"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.description">Description</a>
</h5>
<p>
@@ -76,14 +76,14 @@
<p>
</p>
<a name="math_toolkit.special.sf_beta.beta_derivative.accuracy"></a><h5>
<a name="id1098181"></a>
<a name="id1076485"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.accuracy">Accuracy</a>
</h5>
<p>
Almost identical to the incomplete beta function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>.
</p>
<a name="math_toolkit.special.sf_beta.beta_derivative.implementation"></a><h5>
<a name="id1098206"></a>
<a name="id1076510"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html
View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.special.sf_beta.beta_function"></a><a class="link" href="beta_function.html" title="Beta"> Beta</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.beta_function.synopsis"></a><h5>
<a name="id1084943"></a>
<a name="id1062021"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -48,7 +48,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.beta_function.description"></a><h5>
<a name="id1085223"></a>
<a name="id1062300"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.description">Description</a>
</h5>
<p>
@@ -86,7 +86,7 @@
type calculation rules</em></span></a> when T1 and T2 are different types.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.accuracy"></a><h5>
<a name="id1085335"></a>
<a name="id1062412"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -98,7 +98,7 @@
zero error</a>.
</p>
<div class="table">
<a name="id1085362"></a><p class="title"><b>Table&#160;22.&#160;Peak Errors In the Beta Function</b></p>
<a name="id1062440"></a><p class="title"><b>Table&#160;22.&#160;Peak Errors In the Beta Function</b></p>
<div class="table-contents"><table class="table" summary="Peak Errors In the Beta Function">
<colgroup>
<col>
@@ -244,7 +244,7 @@
very small.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.testing"></a><h5>
<a name="id1085597"></a>
<a name="id1062675"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.testing">Testing</a>
</h5>
<p>
@@ -253,7 +253,7 @@
at 1000-bit precision.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.implementation"></a><h5>
<a name="id1085621"></a>
<a name="id1062699"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.implementation">Implementation</a>
</h5>
<p>

18
doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html
View File

@@ -28,7 +28,7 @@
Beta Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.ibeta_function.synopsis"></a><h5>
<a name="id1086546"></a>
<a name="id1063077"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -67,7 +67,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.ibeta_function.description"></a><h5>
<a name="id1087562"></a>
<a name="id1064094"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.description">Description</a>
</h5>
<p>
@@ -163,7 +163,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ibeta2.png"></span>
</p>
<a name="math_toolkit.special.sf_beta.ibeta_function.accuracy"></a><h5>
<a name="id1088874"></a>
<a name="id1066907"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -182,7 +182,7 @@
with the wider exponent range of the long double types.
</p>
<div class="table">
<a name="id1088905"></a><p class="title"><b>Table&#160;23.&#160;Errors In the Function ibeta(a,b,x)</b></p>
<a name="id1066938"></a><p class="title"><b>Table&#160;23.&#160;Errors In the Function ibeta(a,b,x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function ibeta(a,b,x)">
<colgroup>
<col>
@@ -369,7 +369,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1089246"></a><p class="title"><b>Table&#160;24.&#160;Errors In the Function ibetac(a,b,x)</b></p>
<a name="id1067279"></a><p class="title"><b>Table&#160;24.&#160;Errors In the Function ibetac(a,b,x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function ibetac(a,b,x)">
<colgroup>
<col>
@@ -536,7 +536,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1089533"></a><p class="title"><b>Table&#160;25.&#160;Errors In the Function beta(a, b, x)</b></p>
<a name="id1067566"></a><p class="title"><b>Table&#160;25.&#160;Errors In the Function beta(a, b, x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function beta(a, b, x)">
<colgroup>
<col>
@@ -703,7 +703,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1089817"></a><p class="title"><b>Table&#160;26.&#160;Errors In the Function betac(a,b,x)</b></p>
<a name="id1067850"></a><p class="title"><b>Table&#160;26.&#160;Errors In the Function betac(a,b,x)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function betac(a,b,x)">
<colgroup>
<col>
@@ -870,7 +870,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_beta.ibeta_function.testing"></a><h5>
<a name="id1090106"></a>
<a name="id1068140"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.testing">Testing</a>
</h5>
<p>
@@ -888,7 +888,7 @@
have test data that is fully independent of the code.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_function.implementation"></a><h5>
<a name="id1090142"></a>
<a name="id1068176"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html
View File

@@ -87,7 +87,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.description"></a><h5>
<a name="id1093713"></a>
<a name="id1071738"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.description">Description</a>
</h5>
<p>
@@ -323,7 +323,7 @@
<p>
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.accuracy"></a><h5>
<a name="id1096967"></a>
<a name="id1074992"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -335,7 +335,7 @@
or <code class="computeroutput"><span class="number">1</span></code>.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.testing"></a><h5>
<a name="id1097008"></a>
<a name="id1075032"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.testing">Testing</a>
</h5>
<p>
@@ -359,7 +359,7 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_ibeta_inv_and_ibetac_inv"></a><h5>
<a name="id1097064"></a>
<a name="id1075089"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_ibeta_inv_and_ibetac_inv">Implementation
of ibeta_inv and ibetac_inv</a>
</h5>
@@ -527,7 +527,7 @@
rapidly converges on the true value.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_inverses_on_the_a_and_b_parameters"></a><h5>
<a name="id1097705"></a>
<a name="id1076008"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_inverses_on_the_a_and_b_parameters">Implementation
of inverses on the a and b parameters</a>
</h5>

14
doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html
View File

@@ -28,7 +28,7 @@
Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_erf.error_function.synopsis"></a><h5>
<a name="id1098252"></a>
<a name="id1076555"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -69,7 +69,7 @@
<p>
</p>
<a name="math_toolkit.special.sf_erf.error_function.description"></a><h5>
<a name="id1098635"></a>
<a name="id1076938"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -106,7 +106,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erfc.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_erf.error_function.accuracy"></a><h5>
<a name="id1099022"></a>
<a name="id1077326"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -119,7 +119,7 @@
the one shown will have <a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
<a name="id1099060"></a><p class="title"><b>Table&#160;27.&#160;Errors In the Function erf(z)</b></p>
<a name="id1077363"></a><p class="title"><b>Table&#160;27.&#160;Errors In the Function erf(z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function erf(z)">
<colgroup>
<col>
@@ -325,7 +325,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1100850"></a><p class="title"><b>Table&#160;28.&#160;Errors In the Function erfc(z)</b></p>
<a name="id1078994"></a><p class="title"><b>Table&#160;28.&#160;Errors In the Function erfc(z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function erfc(z)">
<colgroup>
<col>
@@ -531,7 +531,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_erf.error_function.testing"></a><h5>
<a name="id1101209"></a>
<a name="id1079352"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.testing">Testing</a>
</h5>
<p>
@@ -546,7 +546,7 @@
check.
</p>
<a name="math_toolkit.special.sf_erf.error_function.implementation"></a><h5>
<a name="id1101238"></a>
<a name="id1079381"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html
View File

@@ -28,7 +28,7 @@
Inverses</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_erf.error_inv.synopsis"></a><h5>
<a name="id1101968"></a>
<a name="id1080111"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.synopsis">Synopsis</a>
</h5>
<p>
@@ -69,7 +69,7 @@
<p>
</p>
<a name="math_toolkit.special.sf_erf.error_inv.description"></a><h5>
<a name="id1102350"></a>
<a name="id1080494"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -103,7 +103,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erfc_inv.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_erf.error_inv.accuracy"></a><h5>
<a name="id1102738"></a>
<a name="id1080881"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.accuracy">Accuracy</a>
</h5>
<p>
@@ -113,7 +113,7 @@
error functions</a>.
</p>
<a name="math_toolkit.special.sf_erf.error_inv.testing"></a><h5>
<a name="id1102760"></a>
<a name="id1080903"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.testing">Testing</a>
</h5>
<p>
@@ -136,7 +136,7 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_erf.error_inv.implementation"></a><h5>
<a name="id1102809"></a>
<a name="id1080952"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.implementation">Implementation</a>
</h5>
<p>

10
doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html
View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.special.sf_gamma.digamma"></a><a class="link" href="digamma.html" title="Digamma"> Digamma</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.digamma.synopsis"></a><h5>
<a name="id1069172"></a>
<a name="id1048741"></a>
<a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.synopsis">Synopsis</a>
</h5>
<p>
@@ -48,7 +48,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.digamma.description"></a><h5>
<a name="id1069399"></a>
<a name="id1048968"></a>
<a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.description">Description</a>
</h5>
<p>
@@ -82,7 +82,7 @@
T otherwise.
</p>
<a name="math_toolkit.special.sf_gamma.digamma.accuracy"></a><h5>
<a name="id1069507"></a>
<a name="id1049076"></a>
<a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.accuracy">Accuracy</a>
</h5>
<p>
@@ -270,7 +270,7 @@
absolute error will remain very low.
</p>
<a name="math_toolkit.special.sf_gamma.digamma.testing"></a><h5>
<a name="id1069811"></a>
<a name="id1049380"></a>
<a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.testing">Testing</a>
</h5>
<p>
@@ -280,7 +280,7 @@
see below).
</p>
<a name="math_toolkit.special.sf_gamma.digamma.implementation"></a><h5>
<a name="id1069832"></a>
<a name="id1049401"></a>
<a class="link" href="digamma.html#math_toolkit.special.sf_gamma.digamma.implementation">Implementation</a>
</h5>
<p>

8
doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html
View File

@@ -28,7 +28,7 @@
of the Incomplete Gamma Function</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.synopsis"></a><h5>
<a name="id1079983"></a>
<a name="id1057601"></a>
<a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.synopsis">Synopsis</a>
</h5>
<p>
@@ -49,7 +49,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.description"></a><h5>
<a name="id1080268"></a>
<a name="id1057885"></a>
<a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.description">Description</a>
</h5>
<p>
@@ -80,7 +80,7 @@
otherwise the return type is simply T1.
</p>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.accuracy"></a><h5>
<a name="id1080352"></a>
<a name="id1057969"></a>
<a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.accuracy">Accuracy</a>
</h5>
<p>
@@ -88,7 +88,7 @@
refer to the documentation for that function for more information.
</p>
<a name="math_toolkit.special.sf_gamma.gamma_derivatives.implementation"></a><h5>
<a name="id1080379"></a>
<a name="id1057997"></a>
<a class="link" href="gamma_derivatives.html#math_toolkit.special.sf_gamma.gamma_derivatives.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html
View File

@@ -51,7 +51,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.gamma_ratios.description"></a><h5>
<a name="id1072206"></a>
<a name="id1050364"></a>
<a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
@@ -117,7 +117,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/tgamma_delta_ratio.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_gamma.gamma_ratios.accuracy"></a><h5>
<a name="id1072763"></a>
<a name="id1050921"></a>
<a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.accuracy">Accuracy</a>
</h5>
<p>
@@ -127,7 +127,7 @@
<a class="link" href="../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
<a name="id1072781"></a><p class="title"><b>Table&#160;16.&#160;Errors In the Function tgamma_delta_ratio(a, delta)</b></p>
<a name="id1050939"></a><p class="title"><b>Table&#160;16.&#160;Errors In the Function tgamma_delta_ratio(a, delta)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma_delta_ratio(a, delta)">
<colgroup>
<col>
@@ -230,7 +230,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1072945"></a><p class="title"><b>Table&#160;17.&#160;Errors In the Function tgamma_ratio(a, b)</b></p>
<a name="id1051103"></a><p class="title"><b>Table&#160;17.&#160;Errors In the Function tgamma_ratio(a, b)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma_ratio(a, b)">
<colgroup>
<col>
@@ -327,7 +327,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_gamma.gamma_ratios.testing"></a><h5>
<a name="id1073102"></a>
<a name="id1051261"></a>
<a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.testing">Testing</a>
</h5>
<p>
@@ -336,7 +336,7 @@
a deliberately naive calculation of &#915;(x)/&#915;(y).
</p>
<a name="math_toolkit.special.sf_gamma.gamma_ratios.implementation"></a><h5>
<a name="id1073126"></a>
<a name="id1051285"></a>
<a class="link" href="gamma_ratios.html#math_toolkit.special.sf_gamma.gamma_ratios.implementation">Implementation</a>
</h5>
<p>

20
doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html
View File

@@ -28,7 +28,7 @@
Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.igamma.synopsis"></a><h5>
<a name="id1073168"></a>
<a name="id1051327"></a>
<a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.synopsis">Synopsis</a>
</h5>
<p>
@@ -67,7 +67,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.igamma.description"></a><h5>
<a name="id1075066"></a>
<a name="id1052132"></a>
<a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.description">Description</a>
</h5>
<p>
@@ -160,7 +160,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/igamma1.png"></span>
</p>
<a name="math_toolkit.special.sf_gamma.igamma.accuracy"></a><h5>
<a name="id1076026"></a>
<a name="id1053092"></a>
<a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.accuracy">Accuracy</a>
</h5>
<p>
@@ -185,7 +185,7 @@
All values are in units of epsilon.
</p>
<div class="table">
<a name="id1076068"></a><p class="title"><b>Table&#160;18.&#160;Errors In the Function gamma_p(a,z)</b></p>
<a name="id1053134"></a><p class="title"><b>Table&#160;18.&#160;Errors In the Function gamma_p(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function gamma_p(a,z)">
<colgroup>
<col>
@@ -372,7 +372,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1076385"></a><p class="title"><b>Table&#160;19.&#160;Errors In the Function gamma_q(a,z)</b></p>
<a name="id1053451"></a><p class="title"><b>Table&#160;19.&#160;Errors In the Function gamma_q(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function gamma_q(a,z)">
<colgroup>
<col>
@@ -558,7 +558,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1076720"></a><p class="title"><b>Table&#160;20.&#160;Errors In the Function tgamma_lower(a,z)</b></p>
<a name="id1053786"></a><p class="title"><b>Table&#160;20.&#160;Errors In the Function tgamma_lower(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma_lower(a,z)">
<colgroup>
<col>
@@ -693,7 +693,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id1076941"></a><p class="title"><b>Table&#160;21.&#160;Errors In the Function tgamma(a,z)</b></p>
<a name="id1054007"></a><p class="title"><b>Table&#160;21.&#160;Errors In the Function tgamma(a,z)</b></p>
<div class="table-contents"><table class="table" summary="Errors In the Function tgamma(a,z)">
<colgroup>
<col>
@@ -828,7 +828,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_gamma.igamma.testing"></a><h5>
<a name="id1077181"></a>
<a name="id1054793"></a>
<a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.testing">Testing</a>
</h5>
<p>
@@ -844,7 +844,7 @@
fraction (see below) is unstable for small a and z.
</p>
<a name="math_toolkit.special.sf_gamma.igamma.implementation"></a><h5>
<a name="id1077207"></a>
<a name="id1054819"></a>
<a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.implementation">Implementation</a>
</h5>
<p>
@@ -1013,7 +1013,7 @@
by Temme (see references below).
</p>
<a name="math_toolkit.special.sf_gamma.igamma.references"></a><h5>
<a name="id1077947"></a>
<a name="id1055560"></a>
<a class="link" href="igamma.html#math_toolkit.special.sf_gamma.igamma.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

10
doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html
View File

@@ -28,7 +28,7 @@
Gamma Function Inverses</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_gamma.igamma_inv.synopsis"></a><h5>
<a name="id1078009"></a>
<a name="id1055621"></a>
<a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.synopsis">Synopsis</a>
</h5>
<p>
@@ -67,7 +67,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_gamma.igamma_inv.description"></a><h5>
<a name="id1078814"></a>
<a name="id1056426"></a>
<a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.description">Description</a>
</h5>
<p>
@@ -173,7 +173,7 @@
0</em></span>.
</p>
<a name="math_toolkit.special.sf_gamma.igamma_inv.accuracy"></a><h5>
<a name="id1079834"></a>
<a name="id1057452"></a>
<a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.accuracy">Accuracy</a>
</h5>
<p>
@@ -187,7 +187,7 @@
functions.
</p>
<a name="math_toolkit.special.sf_gamma.igamma_inv.testing"></a><h5>
<a name="id1079861"></a>
<a name="id1057479"></a>
<a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.testing">Testing</a>
</h5>
<p>
@@ -211,7 +211,7 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_gamma.igamma_inv.implementation"></a><h5>
<a name="id1079917"></a>
<a name="id1057535"></a>
<a class="link" href="igamma_inv.html#math_toolkit.special.sf_gamma.igamma_inv.implementation">Implementation</a>
</h5>
<p>

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