<html> <head> <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>Math Toolkit</title> <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css"> <meta name="generator" content="DocBook XSL Stylesheets V1.74.0"> <link rel="home" href="index.html" title="Math Toolkit"> <link rel="next" href="math_toolkit/main_overview.html" title="Overview"> </head> <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> <table cellpadding="2" width="100%"><tr> <td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td> <td align="center"><a href="../../../../../index.html">Home</a></td> <td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td> <td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> <td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> <td align="center"><a href="../../../../../more/index.htm">More</a></td> </tr></table> <hr> <div class="spirit-nav"><a accesskey="n" href="math_toolkit/main_overview.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a></div> <div class="article" lang="en"> <div class="titlepage"> <div> <div><h2 class="title"> <a name="math_toolkit"></a>Math Toolkit</h2></div> <div><div class="authorgroup"> <div class="author"><h3 class="author"> <span class="firstname">John</span> <span class="surname">Maddock</span> </h3></div> <div class="author"><h3 class="author"> <span class="firstname">Paul A.</span> <span class="surname">Bristow</span> </h3></div> <div class="author"><h3 class="author"> <span class="firstname">Hubert</span> <span class="surname">Holin</span> </h3></div> <div class="author"><h3 class="author"> <span class="firstname">Xiaogang</span> <span class="surname">Zhang</span> </h3></div> <div class="author"><h3 class="author"> <span class="firstname">Bruno</span> <span class="surname">Lalande</span> </h3></div> <div class="author"><h3 class="author"> <span class="firstname">Johan</span> <span class="surname">Råde</span> </h3></div> <div class="author"><h3 class="author"> <span class="firstname">Gautam</span> <span class="surname">Sewani</span> </h3></div> <div class="author"><h3 class="author"> <span class="firstname">Thijs</span> <span class="surname">van den Berg</span> </h3></div> </div></div> <div><p class="copyright">Copyright © 2006 , 2007, 2008, 2009 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and Thijs van den Berg</p></div> <div><div class="legalnotice"> <a name="id905066"></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> </div></div> </div> <hr> </div> <div class="toc"> <p><b>Table of Contents</b></p> <dl> <dt><span class="section"><a href="math_toolkit/main_overview.html"> Overview</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/main_overview/intro.html"> About the Math Toolkit</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/navigation.html"> Navigation</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/directories.html"> Directory and File Structure</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/namespaces.html"> Namespaces</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/result_type.html"> Calculation of the Type of the Result</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/error_handling.html"> Error Handling</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/compilers_overview.html"> Compilers</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/pol_overview.html"> Configuration and Policies</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/threads.html"> Thread Safety</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/perf_over.html"> Performance</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/building.html"> If and How to Build the Library and its Examples and Tests</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/history1.html"> History and What's New</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/tr1.html"> C99 and C++ TR1 C-style Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/main_overview/contact.html"> Contact Info and Support</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/dist.html"> Statistical Distributions and Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/dist/stat_tut.html"> Statistical Distributions Tutorial</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/overview.html"> Overview of Distributions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/overview/headers.html"> Headers and Namespaces</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/overview/objects.html"> Distributions are Objects</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/overview/generic.html"> Generic operations common to all distributions are non-member functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/overview/complements.html"> Complements are supported too - and when to use them</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/overview/parameters.html"> Parameters can be calculated</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/overview/summary.html"> Summary</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg.html"> Worked Examples</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/dist_construct_eg.html"> Distribution Construction Example</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/st_eg.html"> Student's t Distribution Examples</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/cs_eg.html"> Chi Squared Distribution Examples</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/f_eg.html"> F Distribution Examples</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/binom_eg.html"> Binomial Distribution Examples</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/neg_binom_eg.html"> Negative Binomial Distribution Examples</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/normal_example.html"> Normal Distribution Examples</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/nccs_eg.html"> Non Central Chi Squared Example</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/error_eg.html"> Error Handling Example</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/find_eg.html"> Find Location and Scale Examples</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/nag_library.html"> Comparison with C, R, FORTRAN-style Free Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/c_sharp.html"> Using the Distributions from Within C#</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/variates.html"> Random Variates and Distribution Parameters</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/stat_tut/dist_params.html"> Discrete Probability Distributions</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/dist/dist_ref.html"> Statistical Distributions Reference</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/nmp.html"> Non-Member Properties</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists.html"> Distributions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/bernoulli_dist.html"> Bernoulli Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/beta_dist.html"> Beta Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/binomial_dist.html"> Binomial Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/cauchy_dist.html"> Cauchy-Lorentz Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/chi_squared_dist.html"> Chi Squared Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/exp_dist.html"> Exponential Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/extreme_dist.html"> Extreme Value Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/f_dist.html"> F Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/gamma_dist.html"> Gamma (and Erlang) Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html"> Hypergeometric Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/laplace_dist.html"> Laplace Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/logistic_dist.html"> Logistic Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/lognormal_dist.html"> Log Normal Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html"> Negative Binomial Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_beta_dist.html"> Noncentral Beta Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html"> Noncentral Chi-Squared Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_f_dist.html"> Noncentral F Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_t_dist.html"> Noncentral T Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/normal_dist.html"> Normal (Gaussian) Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/pareto.html"> Pareto Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/poisson_dist.html"> Poisson Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/rayleigh.html"> Rayleigh Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/students_t_dist.html"> Students t Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/triangular_dist.html"> Triangular Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/weibull.html"> Weibull Distribution</a></span></dt> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/uniform_dist.html"> Uniform Distribution</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/dist/dist_ref/dist_algorithms.html"> Distribution Algorithms</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/dist/future.html"> Extras/Future Directions</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special.html"> Special Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/sf_gamma.html"> Gamma Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/sf_gamma/tgamma.html"> Gamma</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_gamma/lgamma.html"> Log Gamma</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_gamma/digamma.html"> Digamma</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_gamma/gamma_ratios.html"> Ratios of Gamma Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_gamma/igamma.html"> Incomplete Gamma Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_gamma/igamma_inv.html"> Incomplete Gamma Function Inverses</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_gamma/gamma_derivatives.html"> Derivative of the Incomplete Gamma Function</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/factorials.html"> Factorials and Binomial Coefficients</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/factorials/sf_factorial.html"> Factorial</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/factorials/sf_double_factorial.html"> Double Factorial</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/factorials/sf_rising_factorial.html"> Rising Factorial</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/factorials/sf_falling_factorial.html"> Falling Factorial</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/factorials/sf_binomial.html"> Binomial Coefficients</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/sf_beta.html"> Beta Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/sf_beta/beta_function.html"> Beta</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_beta/ibeta_function.html"> Incomplete Beta Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_beta/ibeta_inv_function.html"> The Incomplete Beta Function Inverses</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_beta/beta_derivative.html"> Derivative of the Incomplete Beta Function</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/sf_erf.html"> Error Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/sf_erf/error_function.html"> Error Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_erf/error_inv.html"> Error Function Inverses</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/sf_poly.html"> Polynomials</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/sf_poly/legendre.html"> Legendre (and Associated) Polynomials</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_poly/laguerre.html"> Laguerre (and Associated) Polynomials</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_poly/hermite.html"> Hermite Polynomials</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sf_poly/sph_harm.html"> Spherical Harmonics</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/bessel.html"> Bessel Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/bessel/bessel_over.html"> Bessel Function Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/bessel/bessel.html"> Bessel Functions of the First and Second Kinds</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/bessel/mbessel.html"> Modified Bessel Functions of the First and Second Kinds</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/bessel/sph_bessel.html"> Spherical Bessel Functions of the First and Second Kinds</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/ellint.html"> Elliptic Integrals</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/ellint/ellint_intro.html"> Elliptic Integral Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/ellint/ellint_carlson.html"> Elliptic Integrals - Carlson Form</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/ellint/ellint_1.html"> Elliptic Integrals of the First Kind - Legendre Form</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/ellint/ellint_2.html"> Elliptic Integrals of the Second Kind - Legendre Form</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/ellint/ellint_3.html"> Elliptic Integrals of the Third Kind - Legendre Form</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/zetas.html"> Zeta Functions</a></span></dt> <dd><dl><dt><span class="section"><a href="math_toolkit/special/zetas/zeta.html"> Riemann Zeta Function</a></span></dt></dl></dd> <dt><span class="section"><a href="math_toolkit/special/expint.html"> Exponential Integrals</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/expint/expint_n.html"> Exponential Integral En</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/expint/expint_i.html"> Exponential Integral Ei</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/powers.html"> Logs, Powers, Roots and Exponentials</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/powers/log1p.html"> log1p</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/powers/expm1.html"> expm1</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/powers/cbrt.html"> cbrt</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/powers/sqrt1pm1.html"> sqrt1pm1</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/powers/powm1.html"> powm1</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/powers/hypot.html"> hypot</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/powers/ct_pow.html"> Compile Time Power of a Runtime Base</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/sinc.html"> Sinus Cardinal and Hyperbolic Sinus Cardinal Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/sinc/sinc_overview.html"> Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sinc/sinc_pi.html">sinc_pi</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/sinc/sinhc_pi.html">sinhc_pi</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/special/inv_hyper.html"> Inverse Hyperbolic Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/special/inv_hyper/inv_hyper_over.html"> Inverse Hyperbolic Functions Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/inv_hyper/acosh.html"> acosh</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/inv_hyper/asinh.html"> asinh</a></span></dt> <dt><span class="section"><a href="math_toolkit/special/inv_hyper/atanh.html"> atanh</a></span></dt> </dl></dd> </dl></dd> <dt><span class="section"><a href="math_toolkit/utils.html"> Floating Point Utilities</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/utils/rounding.html"> Rounding Truncation and Integer Conversion</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/utils/rounding/round.html"> Rounding Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/rounding/trunc.html"> Truncation Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/rounding/modf.html"> Integer and Fractional Part Splitting (modf)</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/utils/fpclass.html"> Floating-Point Classification: Infinities and NaN's</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/sign_functions.html"> Sign Manipulation Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/next_float.html"> Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/utils/next_float/nextafter.html"> Finding the Next Representable Value in a Specific Direction (nextafter)</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/next_float/float_next.html"> Finding the Next Greater Representable Value (float_next)</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/next_float/float_prior.html"> Finding the Next Smaller Representable Value (float_prior)</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/next_float/float_distance.html"> Calculating the Representation Distance Between Two Floating Point Values (ULP) float_distance</a></span></dt> <dt><span class="section"><a href="math_toolkit/utils/next_float/float_advance.html"> Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance</a></span></dt> </dl></dd> </dl></dd> <dt><span class="section"><a href="math_toolkit/extern_c.html"> TR1 and C99 external "C" Functions</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/extern_c/tr1.html"> C99 and TR1 C Functions Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/extern_c/c99.html"> C99 C Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/extern_c/tr1_ref.html"> TR1 C Functions Quick Reference</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/toolkit.html"> Internal Details and Tools (Experimental)</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/toolkit/internals_overview.html"> Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals1.html"> Reused Utilities</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/toolkit/internals1/constants.html"> Numeric Constants</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals1/series_evaluation.html"> Series Evaluation</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals1/cf.html"> Continued Fraction Evaluation</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals1/rational.html"> Polynomial and Rational Function Evaluation</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals1/roots.html"> Root Finding With Derivatives</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals1/roots2.html"> Root Finding Without Derivatives</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals1/minima.html"> Locating Function Minima</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/toolkit/internals2.html"> Testing and Development</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/toolkit/internals2/polynomials.html"> Polynomials</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals2/minimax.html"> Minimax Approximations and the Remez Algorithm</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals2/error_test.html"> Relative Error and Testing</a></span></dt> <dt><span class="section"><a href="math_toolkit/toolkit/internals2/test_data.html"> Graphing, Profiling, and Generating Test Data for Special Functions</a></span></dt> </dl></dd> </dl></dd> <dt><span class="section"><a href="math_toolkit/using_udt.html"> Use with User-Defined Floating-Point Types</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/using_udt/use_ntl.html"> Using With NTL - a High-Precision Floating-Point Library</a></span></dt> <dt><span class="section"><a href="math_toolkit/using_udt/use_mpfr.html"> Using With MPFR / GMP - a High-Precision Floating-Point Library</a></span></dt> <dt><span class="section"><a href="math_toolkit/using_udt/concepts.html"> Conceptual Requirements for Real Number Types</a></span></dt> <dt><span class="section"><a href="math_toolkit/using_udt/dist_concept.html"> Conceptual Requirements for Distribution Types</a></span></dt> <dt><span class="section"><a href="math_toolkit/using_udt/archetypes.html"> Conceptual Archetypes and Testing</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/policy.html"> Policies</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/policy/pol_overview.html"> Policy Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial.html"> Policy Tutorial</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/what_is_a_policy.html"> So Just What is a Policy Anyway?</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/policy_tut_defaults.html"> Policies Have Sensible Defaults</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/policy_usage.html"> So How are Policies Used Anyway?</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/changing_policy_defaults.html"> Changing the Policy Defaults</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html"> Setting Policies for Distributions on an Ad Hoc Basis</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html"> Changing the Policy on an Ad Hoc Basis for the Special Functions</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/namespace_policies.html"> Setting Policies at Namespace or Translation Unit Scope</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/user_def_err_pol.html"> Calling User Defined Error Handlers</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/understand_dis_quant.html"> Understanding Quantiles of Discrete Distributions</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/policy/pol_ref.html"> Policy Reference</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/error_handling_policies.html"> Error Handling Policies</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/internal_promotion.html"> Internal Promotion Policies</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/assert_undefined.html"> Mathematically Undefined Function Policies</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/discrete_quant_ref.html"> Discrete Quantile Policies</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/precision_pol.html"> Precision Policies</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/iteration_pol.html"> Iteration Limits Policies</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/policy_defaults.html"> Using macros to Change the Policy Defaults</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/namespace_pol.html"> Setting Polices at Namespace Scope</a></span></dt> <dt><span class="section"><a href="math_toolkit/policy/pol_ref/pol_ref_ref.html"> Policy Class Reference</a></span></dt> </dl></dd> </dl></dd> <dt><span class="section"><a href="math_toolkit/perf.html"> Performance</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/perf/perf_over.html"> Performance Overview</a></span></dt> <dt><span class="section"><a href="math_toolkit/perf/interp.html"> Interpreting these Results</a></span></dt> <dt><span class="section"><a href="math_toolkit/perf/getting_best.html"> Getting the Best Performance from this Library</a></span></dt> <dt><span class="section"><a href="math_toolkit/perf/comp_compilers.html"> Comparing Compilers</a></span></dt> <dt><span class="section"><a href="math_toolkit/perf/tuning.html"> Performance Tuning Macros</a></span></dt> <dt><span class="section"><a href="math_toolkit/perf/comparisons.html"> Comparisons to Other Open Source Libraries</a></span></dt> <dt><span class="section"><a href="math_toolkit/perf/perf_test_app.html"> The Performance Test Application</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/backgrounders.html"> Backgrounders</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/backgrounders/implementation.html"> Additional Implementation Notes</a></span></dt> <dt><span class="section"><a href="math_toolkit/backgrounders/relative_error.html"> Relative Error</a></span></dt> <dt><span class="section"><a href="math_toolkit/backgrounders/lanczos.html"> The Lanczos Approximation</a></span></dt> <dt><span class="section"><a href="math_toolkit/backgrounders/remez.html"> The Remez Method</a></span></dt> <dt><span class="section"><a href="math_toolkit/backgrounders/refs.html"> References</a></span></dt> </dl></dd> <dt><span class="section"><a href="math_toolkit/status.html"> Library Status</a></span></dt> <dd><dl> <dt><span class="section"><a href="math_toolkit/status/history1.html"> History and What's New</a></span></dt> <dt><span class="section"><a href="math_toolkit/status/compilers.html"> Compilers</a></span></dt> <dt><span class="section"><a href="math_toolkit/status/issues.html"> Known Issues, and Todo List</a></span></dt> <dt><span class="section"><a href="math_toolkit/status/credits.html"> Credits and Acknowledgements</a></span></dt> </dl></dd> </dl> </div> <p> ISBN 0-9504833-2-X 978-0-9504833-2-0, Classification 519.2-dc22 </p> <p> This manual is also available in <a href="http://svn.boost.org/svn/boost/sandbox/pdf/math/release/math.pdf" target="_top">printer friendly PDF format</a>. </p> </div> <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> <td align="left"><p><small>Last revised: August 08, 2010 at 11:27:41 GMT</small></p></td> <td align="right"><div 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