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| <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, 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="id1037547"></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/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/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: May 16, 2011 at 16:53:57 GMT</small></p></td> |
| <td align="right"><div class="copyright-footer"></div></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> |
| </body> |
| </html> |
