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<html>
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<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 © 2006-2010 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="math_toolkit.legal"></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>
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</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/config_macros.html">Configuration
Macros</a></span></dt>
<dt><span class="section"><a href="math_toolkit/main_overview/pol_overview.html">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
a Boost.Math 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/faq.html">Frequently Asked Questions
FAQ</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/geometric_eg.html">Geometric
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/inverse_chi_squared_eg.html">Inverse
Chi-Squared Distribution Bayes Example</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/geometric_dist.html">Geometric
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/inverse_chi_squared_dist.html">Inverse
Chi Squared Distribution</a></span></dt>
<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/inverse_gamma_dist.html">Inverse
Gamma Distribution</a></span></dt>
<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html">Inverse
Gaussian (or Inverse Normal) 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/uniform_dist.html">Uniform
Distribution</a></span></dt>
<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/weibull_dist.html">Weibull
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 NaNs</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/fp_facets.html">Facets for Floating-Point
Infinities and NaNs</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/utils/fp_facets/intro.html">Introduction</a></span></dt>
<dt><span class="section"><a href="math_toolkit/utils/fp_facets/reference.html">Reference</a></span></dt>
<dt><span class="section"><a href="math_toolkit/utils/fp_facets/examples.html">Examples</a></span></dt>
<dt><span class="section"><a href="math_toolkit/utils/fp_facets/portability.html">Portability</a></span></dt>
<dt><span class="section"><a href="math_toolkit/utils/fp_facets/rationale.html">Design Rationale</a></span></dt>
</dl></dd>
<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">Tools, Constants and Internal Details</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">Utilities - Constants
& Tools</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: Newton-Raphson, Halley & Schroeder</a></span></dt>
<dt><span class="section"><a href="math_toolkit/toolkit/internals1/roots2.html">Root Finding
Without Derivatives: Bisection, Bracket and TOMS748</a></span></dt>
<dt><span class="section"><a href="math_toolkit/toolkit/internals1/minima.html">Locating Function
Minima: Brent's algorithm</a></span></dt>
<dt><span class="section"><a href="math_toolkit/toolkit/internals1/tuples.html">Tuples</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/e_float.html">e_float Support</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
for Reals and Distributions</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
Floating-point 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/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>
<dt><span class="section"><a href="index/s12.html">Function Index</a></span></dt>
<dt><span class="section"><a href="index/s13.html">Class Index</a></span></dt>
<dt><span class="section"><a href="index/s14.html">Typedef Index</a></span></dt>
<dt><span class="section"><a href="index/s15.html">Macro Index</a></span></dt>
<dt><span class="section"><a href="index/s16.html">Index</a></span></dt>
</dl>
</div>
<p>
This manual is also available in <a href="http://sourceforge.net/projects/boost/files/boost-docs/" target="_top">printer
friendly PDF format</a>, and as a CD ISBN 0-9504833-2-X 978-0-9504833-2-0,
Classification 519.2-dc22.
</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: January 09, 2012 at 12:12:07 GMT</small></p></td>
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</tr></table>
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