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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">R&#229;de</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 &#169; 2006 , 2007, 2008, 2009, 2010 John Maddock, Paul A. Bristow,
Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani and
Thijs van den Berg</p></div>
<div><div class="legalnotice">
<a name="id894809"></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 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
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/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/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/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>
<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/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
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/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>
</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>, and as a CD ISBN 0-9504833-2-X 978-0-9504833-2-0,
Classification 519.2-dc22.
</p>
</div>
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<td align="left"><p><small>Last revised: October 25, 2010 at 16:12:20 GMT</small></p></td>
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