| [article Math Toolkit |
| [quickbook 1.5] |
| [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] |
| [/purpose ISBN 0-9504833-2-X 978-0-9504833-2-0, Classification 519.2-dc22] |
| [license |
| Distributed under the Boost Software License, Version 1.0. |
| (See accompanying file LICENSE_1_0.txt or copy at |
| [@http://www.boost.org/LICENSE_1_0.txt]) |
| ] |
| [authors [Maddock, John], [Bristow, Paul A.], [Holin, Hubert], [Zhang, Xiaogang], [Lalande, Bruno], [Råde, Johan], [Sewani, Gautam], [van den Berg, Thijs]] |
| [/last-revision $Date: 2011-05-17 08:19:17 -0400 (Tue, 17 May 2011) $] |
| ] |
| |
| [/ \u00E5 = Latin small letter A with ring above doesn't seem to work in authors with Quickbook 1.5] |
| |
| [template equation[name] '''<inlinemediaobject> |
| <imageobject role="html"> |
| <imagedata fileref="../equations/'''[name]'''.png"></imagedata> |
| </imageobject> |
| <imageobject role="print"> |
| <imagedata fileref="../equations/'''[name]'''.svg"></imagedata> |
| </imageobject> |
| </inlinemediaobject>'''] |
| |
| [template graph[name] '''<inlinemediaobject> |
| <imageobject role="html"> |
| <imagedata align="center" fileref="../graphs/'''[name]'''.png"></imagedata> |
| </imageobject> |
| <imageobject role="print"> |
| <imagedata align="center" fileref="../graphs/'''[name]'''.svg"></imagedata> |
| </imageobject> |
| </inlinemediaobject>'''] |
| |
| [include html4_symbols.qbk] |
| [/include math_symbols.qbk] |
| |
| [/include latin1_symbols.qbk] [/ just for testing] |
| [include common_overviews.qbk] [/ overviews that appear in more than one place!] |
| [include tr1.qbk] [/tr1 docs also appear in more than one place!] |
| [include roadmap.qbk] [/ for history] |
| |
| [def __effects [*Effects: ]] |
| [def __formula [*Formula: ]] |
| [def __exm1 '''<code>e<superscript>x</superscript> - 1</code>'''] [/e^x -1] |
| [def __ex '''<code>e<superscript>x</superscript></code>'''] [/e^x] |
| [def __te '''2ɛ'''] [/small Latin letter open e] |
| |
| [def __ceilR '''⌉'''] |
| [def __ceilL '''ऄ'''] |
| [def __floorR '''⌋'''] |
| [def __floorL '''⌊'''] |
| [def __infin '''∞'''] |
| [def __integral '''∫'''] |
| [def __aacute '''á'''] |
| [def __eacute '''é'''] |
| [def __quarter '''¼'''] |
| [def __nearequal '''≊'''] |
| [def __spaces '''  '''] [/ two spaces - useful for an indent.] |
| |
| [def __caution This is now an official Boost library, but remains a library under |
| development, the code is fully functional and robust, but |
| interfaces, library structure, and function and distribution names |
| may still be changed without notice.] |
| |
| [template tr1[] [@http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2005/n1836.pdf Technical Report on C++ Library Extensions]] |
| [template C99[] [@http://www.open-std.org/JTC1/SC22/WG14/www/docs/n1256.pdf C99 Standard ISO/IEC 9899:1999]] |
| [template jm_rationals[] [link math_toolkit.backgrounders.implementation.rational_approximations_used devised by JM]] |
| |
| [def __domain_error [link domain_error domain_error]] |
| [def __pole_error [link pole_error pole_error]] |
| [def __overflow_error [link overflow_error overflow_error]] |
| [def __underflow_error [link underflow_error underflow_error]] |
| [def __denorm_error [link denorm_error denorm_error]] |
| [def __evaluation_error [link evaluation_error evaluation_error]] |
| [def __rounding_error [link rounding_error rounding_error]] |
| [def __indeterminate_result_error [link indeterminate_result_error indeterminate_result_error]] |
| [def __checked_narrowing_cast [link checked_narrowing_cast checked_narrowing_cast]] |
| |
| [def __arg_pomotion_rules [link math_toolkit.main_overview.result_type ['result type calculation rules]]] |
| [def __sf_result [link math_toolkit.main_overview.result_type ['calculated-result-type]]] |
| |
| [/ The following macros expand to links to the various special functions |
| and use the function's name as the link text.] |
| |
| [/Misc] |
| [def __lanczos [link math_toolkit.backgrounders.lanczos Lanczos approximation]] |
| [def __zero_error [link zero_error effectively zero error]] |
| [def __relative_error [link math_toolkit.backgrounders.relative_error relative zero error]] |
| |
| [/gammas] |
| [def __lgamma [link math_toolkit.special.sf_gamma.lgamma lgamma]] |
| [def __digamma [link math_toolkit.special.sf_gamma.digamma digamma]] |
| [def __tgamma_ratio [link math_toolkit.special.sf_gamma.gamma_ratios tgamma_ratio]] |
| [def __tgamma_delta_ratio [link math_toolkit.special.sf_gamma.gamma_ratios tgamma_delta_ratio]] |
| [def __tgamma [link math_toolkit.special.sf_gamma.tgamma tgamma]] |
| [def __tgamma1pm1 [link math_toolkit.special.sf_gamma.tgamma tgamma1pm1]] |
| [def __tgamma_lower [link math_toolkit.special.sf_gamma.igamma tgamma_lower]] |
| [def __gamma_p [link math_toolkit.special.sf_gamma.igamma gamma_p]] |
| [def __gamma_q [link math_toolkit.special.sf_gamma.igamma gamma_q]] |
| [def __gamma_q_inv [link math_toolkit.special.sf_gamma.igamma_inv gamma_q_inv]] |
| [def __gamma_p_inv [link math_toolkit.special.sf_gamma.igamma_inv gamma_p_inv]] |
| [def __gamma_q_inva [link math_toolkit.special.sf_gamma.igamma_inv gamma_q_inva]] |
| [def __gamma_p_inva [link math_toolkit.special.sf_gamma.igamma_inv gamma_p_inva]] |
| [def __gamma_p_derivative [link math_toolkit.special.sf_gamma.gamma_derivatives gamma_p_derivative]] |
| |
| [/factorials] |
| [def __factorial [link math_toolkit.special.factorials.sf_factorial factorial]] |
| [def __unchecked_factorial [link math_toolkit.special.factorials.sf_factorial unchecked_factorial]] |
| [def __max_factorial [link math_toolkit.special.factorials.sf_factorial max_factorial]] |
| [def __double_factorial [link math_toolkit.special.factorials.sf_double_factorial double_factorial]] |
| [def __rising_factorial [link math_toolkit.special.factorials.sf_rising_factorial rising_factorial]] |
| [def __falling_factorial [link math_toolkit.special.factorials.sf_falling_factorial falling_factorial]] |
| |
| [/error functions] |
| [def __erf [link math_toolkit.special.sf_erf.error_function erf]] |
| [def __erfc [link math_toolkit.special.sf_erf.error_function erfc]] |
| [def __erf_inv [link math_toolkit.special.sf_erf.error_inv erf_inv]] |
| [def __erfc_inv [link math_toolkit.special.sf_erf.error_inv erfc_inv]] |
| |
| [/beta functions] |
| [def __beta [link math_toolkit.special.sf_beta.beta_function beta]] |
| [def __beta3 [link math_toolkit.special.sf_beta.ibeta_function beta]] |
| [def __betac [link math_toolkit.special.sf_beta.ibeta_function betac]] |
| [def __ibeta [link math_toolkit.special.sf_beta.ibeta_function ibeta]] |
| [def __ibetac [link math_toolkit.special.sf_beta.ibeta_function ibetac]] |
| [def __ibeta_inv [link math_toolkit.special.sf_beta.ibeta_inv_function ibeta_inv]] |
| [def __ibetac_inv [link math_toolkit.special.sf_beta.ibeta_inv_function ibetac_inv]] |
| [def __ibeta_inva [link math_toolkit.special.sf_beta.ibeta_inv_function ibeta_inva]] |
| [def __ibetac_inva [link math_toolkit.special.sf_beta.ibeta_inv_function ibetac_inva]] |
| [def __ibeta_invb [link math_toolkit.special.sf_beta.ibeta_inv_function ibeta_invb]] |
| [def __ibetac_invb [link math_toolkit.special.sf_beta.ibeta_inv_function ibetac_invb]] |
| [def __ibeta_derivative [link math_toolkit.special.sf_beta.beta_derivative ibeta_derivative]] |
| |
| [/elliptic integrals] |
| [def __ellint_rj [link math_toolkit.special.ellint.ellint_carlson ellint_rj]] |
| [def __ellint_rf [link math_toolkit.special.ellint.ellint_carlson ellint_rf]] |
| [def __ellint_rc [link math_toolkit.special.ellint.ellint_carlson ellint_rc]] |
| [def __ellint_rd [link math_toolkit.special.ellint.ellint_carlson ellint_rd]] |
| [def __ellint_1 [link math_toolkit.special.ellint.ellint_1 ellint_1]] |
| [def __ellint_2 [link math_toolkit.special.ellint.ellint_2 ellint_2]] |
| [def __ellint_3 [link math_toolkit.special.ellint.ellint_3 ellint_3]] |
| |
| [/Bessel functions] |
| [def __cyl_bessel_j [link math_toolkit.special.bessel.bessel cyl_bessel_j]] |
| [def __cyl_neumann [link math_toolkit.special.bessel.bessel cyl_neumann]] |
| [def __cyl_bessel_i [link math_toolkit.special.bessel.mbessel cyl_bessel_i]] |
| [def __cyl_bessel_k [link math_toolkit.special.bessel.mbessel cyl_bessel_k]] |
| [def __sph_bessel [link math_toolkit.special.bessel.sph_bessel sph_bessel]] |
| [def __sph_neumann [link math_toolkit.special.bessel.sph_bessel sph_neumann]] |
| |
| [/sinus cardinals] |
| [def __sinc_pi [link math_toolkit.special.sinc.sinc_pi sinc_pi]] |
| [def __sinhc_pi [link math_toolkit.special.sinc.sinhc_pi sinhc_pi]] |
| |
| [/Inverse hyperbolics] |
| [def __acosh [link math_toolkit.special.inv_hyper.acosh acosh]] |
| [def __asinh [link math_toolkit.special.inv_hyper.asinh asinh]] |
| [def __atanh [link math_toolkit.special.inv_hyper.atanh atanh]] |
| |
| [/classify] |
| [def __fpclassify [link math_toolkit.special.fpclass fpclassify]] |
| [def __isfinite [link math_toolkit.special.fpclass isfinite]] |
| [def __isnan [link math_toolkit.special.fpclass isnan]] |
| [def __isinf [link math_toolkit.special.fpclass isinf]] |
| [def __isnormal [link math_toolkit.special.fpclass isnormal]] |
| [def __fp_facets [link math_toolkit.utils.fp_facets nonfinite fp_facets]] |
| |
| [/powers etc] |
| [def __expm1 [link math_toolkit.special.powers.expm1 expm1]] |
| [def __log1p [link math_toolkit.special.powers.log1p log1p]] |
| [def __cbrt [link math_toolkit.special.powers.cbrt cbrt]] |
| [def __sqrt1pm1 [link math_toolkit.special.powers.sqrt1pm1 sqrt1pm1]] |
| [def __powm1 [link math_toolkit.special.powers.powm1 powm1]] |
| [def __hypot [link math_toolkit.special.powers.hypot hypot]] |
| [def __pow [link math_toolkit.special.powers.ct_pow pow]] |
| |
| [/zeta] |
| [def __zeta [link math_toolkit.special.zetas.zeta zeta]] |
| |
| [/expint] |
| [def __expint_i [link math_toolkit.special.expint.expint_i zeta]] |
| [def __expint_n [link math_toolkit.special.expint.expint_n zeta]] |
| |
| [/rounding] |
| [def __round [link math_toolkit.utils.rounding.round round]] |
| [def __lround [link math_toolkit.utils.rounding.round round]] |
| [def __llround [link math_toolkit.utils.rounding.round round]] |
| [def __trunc [link math_toolkit.utils.rounding.trunc trunc]] |
| [def __modf [link math_toolkit.utils.rounding.modf modf]] |
| |
| [/polynomials] |
| [def __laguerre [link math_toolkit.special.sf_poly.laguerre laguerre]] |
| [def __legendre [link math_toolkit.special.sf_poly.legendre legendre_p]] |
| [def __hermite [link math_toolkit.special.sf_poly.hermite hermite]] |
| |
| [/Misc] |
| [def __expint [link math_toolkit.special.expint.expint_i expint]] |
| [def __spherical_harmonic [link math_toolkit.special.sf_poly.sph_harm spherical_harmonic]] |
| |
| [/tools] |
| [def __tuple [link math_toolkit.toolkit.internals1.tuples boost::math::tuple]] |
| |
| [/ distribution non-members] |
| [def __cdf [link math.dist.cdf Cumulative Distribution Function]] |
| [def __pdf [link math.dist.pdf Probability Density Function]] |
| [def __ccdf [link math.dist.ccdf Complement of the Cumulative Distribution Function]] |
| [def __quantile [link math.dist.quantile Quantile]] |
| [def __quantile_c [link math.dist.quantile_c Quantile from the complement of the probability]] |
| [def __mean [link math.dist.mean mean]] |
| [def __median [link math.dist.median median]] |
| [def __mode [link math.dist.mode mode]] |
| [def __skewness [link math.dist.skewness skewness]] |
| [def __kurtosis [link math.dist.kurtosis kurtosis]] |
| [def __kurtosis_excess [link math.dist.kurtosis_excess kurtosis_excess]] |
| [def __variance [link math.dist.variance variance]] |
| [def __sd [link math.dist.sd standard deviation]] |
| [def __hazard [link math.dist.hazard Hazard Function]] |
| [def __chf [link math.dist.chf Cumulative Hazard Function]] |
| [def __range [link math.dist.range range]] |
| [def __support [link math.dist.support support]] |
| |
| [/ distribution def names end in distrib to avoid clashes] |
| [def __beta_distrib [link math_toolkit.dist.dist_ref.dists.beta_dist Beta Distribution]] |
| [def __binomial_distrib [link math_toolkit.dist.dist_ref.dists.binomial_dist Binomial Distribution]] |
| [def __cauchy_distrib [link math_toolkit.dist.dist_ref.dists.cauchy_dist Cauchy Distribution]] |
| [def __chi_squared_distrib [link math_toolkit.dist.dist_ref.dists.chi_squared_dist Chi Squared Distribution]] |
| [def __extreme_distrib [link math_toolkit.dist.dist_ref.dists.extreme_dist Extreme Distributions]] |
| [def __exp_distrib [link math_toolkit.dist.dist_ref.dists.exp_dist Exponential Distribution]] |
| [def __F_distrib [link math_toolkit.dist.dist_ref.dists.f_dist Fisher F Distribution]] |
| [def __gamma_distrib [link math_toolkit.dist.dist_ref.dists.gamma_dist Gamma Distribution]] |
| [def __geometric_distrib [link math_toolkit.dist.dist_ref.dists.geometric_dist Geometric Distribution]] |
| [def __inverse_gamma_distrib [link math_toolkit.dist.dist_ref.dists.inverse_gamma_dist Inverse Gamma Distribution]] |
| [def __inverse_gaussian_distrib [link math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist Inverse Gaussian Distribution]] |
| [def __inverse_chi_squared_distrib [link math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist Inverse chi squared Distribution]] |
| [def __laplace_distrib [link math_toolkit.dist.dist_ref.dists.laplace_dist Laplace Distribution]] |
| [def __logistic_distrib [link math_toolkit.dist.dist_ref.dists.logistic_dist Logistic Distribution]] |
| [def __lognormal_distrib [link math_toolkit.dist.dist_ref.dists.lognormal_dist Log-normal Distribution]] |
| [def __negative_binomial_distrib [link math_toolkit.dist.dist_ref.dists.negative_binomial_dist Negative Binomial Distribution]] |
| [def __non_central_chi_squared_distrib [link math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist Noncentral Chi Squared Distribution]] |
| [def __non_central_beta_distrib [link math_toolkit.dist.dist_ref.dists.nc_beta_dist Noncentral Beta Distribution]] |
| [def __non_central_F_distrib [link math_toolkit.dist.dist_ref.dists.nc_f_dist Noncentral F Distribution]] |
| [def __non_central_T_distrib [link math_toolkit.dist.dist_ref.dists.nc_t_dist Noncentral T Distribution]] |
| [def __non_central_t_distrib [link math_toolkit.dist.dist_ref.dists.nc_t_dist noncentral T distribution]] |
| [def __normal_distrib [link math_toolkit.dist.dist_ref.dists.normal_dist Normal Distribution]] |
| [def __poisson_distrib [link math_toolkit.dist.dist_ref.dists.poisson_dist Poisson Distribution]] |
| [def __students_t_distrib [link math_toolkit.dist.dist_ref.dists.students_t_dist Students t Distribution]] |
| [def __weibull_distrib [link math_toolkit.dist.dist_ref.dists.weibull_dist Weibull Distribution]] |
| |
| [/links to policy] |
| [def __Policy [link math_toolkit.policy Policy]] [/ Used in distribution template specifications] |
| [def __policy_section [link math_toolkit.policy Policies]] [/ Used in text to refer to.] |
| [def __policy_class [link math_toolkit.policy.pol_ref.pol_ref_ref policies::policy<>]] |
| [def __math_undefined [link math_toolkit.policy.pol_ref.assert_undefined mathematically undefined function]] |
| [def __policy_ref [link math_toolkit.policy.pol_ref policy reference]] |
| [def __math_discrete [link math_toolkit.policy.pol_ref.discrete_quant_ref discrete functions]] |
| [def __error_policy [link math_toolkit.policy.pol_ref.error_handling_policies error handling policies]] |
| [def __changing_policy_defaults [link math_toolkit.policy.pol_ref.policy_defaults changing policies defaults]] |
| [def __user_error_handling [link math_toolkit.policy.pol_tutorial.user_def_err_pol user error handling]] |
| [def __promotion_policy [link math_toolkit.policy.pol_ref.internal_promotion internal promotion policy]] |
| [def __precision_policy [link math_toolkit.policy.pol_ref.precision_pol precision policy]] |
| [def __policy_macros [link math_toolkit.policy.pol_ref.policy_defaults Using Macros to Change the Policy Defaults]] |
| |
| [def __random_variate [@http://en.wikipedia.org/wiki/Random_variate random variate]] |
| [def __random_variable [@http://en.wikipedia.org/wiki/Random_variable random variable]] |
| [def __probability_distribution [@[@http://en.wikipedia.org/wiki/Probability_distribution probability_distribution]] |
| |
| [def __usual_accessors __cdf, __pdf, __quantile, __hazard, |
| __chf, __mean, __median, __mode, __variance, __sd, __skewness, |
| __kurtosis, __kurtosis_excess, __range and __support] |
| |
| [def __gsl [@http://www.gnu.org/software/gsl/ GSL-1.9]] |
| [def __glibc [@http://www.gnu.org/software/libc/ GNU C Lib]] |
| [def __hpc [@http://docs.hp.com/en/B9106-90010/index.html HP-UX C Library]] |
| [def __cephes [@http://www.netlib.org/cephes/ Cephes]] |
| [def __NTL [@http://www.shoup.net/ntl/ NTL A Library for doing Number Theory]] |
| [def __NTL_RR [@http://shoup.net/ntl/doc/RR.txt NTL::RR]] |
| [def __NTL_quad_float [@http://shoup.net/ntl/doc/quad_float.txt NTL::quad_float]] |
| [def __R [@http://www.r-project.org/ The R Project for Statistical Computing]] |
| [def __godfrey [link godfrey Godfrey]] |
| [def __pugh [link pugh Pugh]] |
| [def __NaN [@http://en.wikipedia.org/wiki/NaN NaN]] |
| [def __errno [@http://en.wikipedia.org/wiki/Errno `::errno`]] |
| [def __Mathworld [@http://mathworld.wolfram.com Wolfram MathWorld]] |
| [def __Mathematica [@http://www.wolfram.com/products/mathematica/index.html Wolfram Mathematica]] |
| [def __TOMS748 [@http://portal.acm.org/citation.cfm?id=210111 TOMS Algorithm 748: enclosing zeros of continuous functions]] |
| [def __why_complements [link why_complements why complements?]] |
| [def __complements [link complements complements]] |
| [def __performance [link math_toolkit.perf performance]] |
| [def __building [link math_toolkit.main_overview.building building libraries]] |
| |
| [/ Some composite templates] |
| [template super[x]'''<superscript>'''[x]'''</superscript>'''] |
| [template sub[x]'''<subscript>'''[x]'''</subscript>'''] |
| [template floor[x]'''⌊'''[x]'''⌋'''] |
| [template floorlr[x][lfloor][x][rfloor]] |
| [template ceil[x] '''⌈'''[x]'''⌉'''] |
| |
| [template header_file[file] [@../../../../../[file] [file]]] |
| |
| [template optional_policy[] |
| The final __Policy argument is optional and can be used to |
| control the behaviour of the function: how it handles errors, |
| what level of precision to use etc. Refer to the |
| [link math_toolkit.policy policy documentation for more details].] |
| |
| [template discrete_quantile_warning[NAME] |
| [caution |
| The [NAME] distribution is a discrete distribution: internally, |
| functions like the `cdf` and `pdf` are treated "as if" they are continuous |
| functions, but in reality the results returned from these functions |
| only have meaning if an integer value is provided for the random variate |
| argument. |
| |
| The quantile function will by default return an integer result that has been |
| /rounded outwards/. That is to say lower quantiles (where the probability is |
| less than 0.5) are rounded downward, and upper quantiles (where the probability |
| is greater than 0.5) are rounded upwards. This behaviour |
| ensures that if an X% quantile is requested, then /at least/ the requested |
| coverage will be present in the central region, and /no more than/ |
| the requested coverage will be present in the tails. |
| |
| This behaviour can be changed so that the quantile functions are rounded |
| differently, or even return a real-valued result using |
| [link math_toolkit.policy.pol_overview Policies]. It is strongly |
| recommended that you read the tutorial |
| [link math_toolkit.policy.pol_tutorial.understand_dis_quant |
| Understanding Quantiles of Discrete Distributions] before |
| using the quantile function on the [NAME] distribution. The |
| [link math_toolkit.policy.pol_ref.discrete_quant_ref reference docs] |
| describe how to change the rounding policy |
| for these distributions. |
| ] [/ caution] |
| ] [/ template discrete_quantile_warning] |
| |
| This manual is also available in |
| [@http://sourceforge.net/projects/boost/files/boost-docs/ |
| printer friendly PDF format], |
| and as a CD ISBN 0-9504833-2-X 978-0-9504833-2-0, Classification 519.2-dc22. |
| |
| [section:main_overview Overview] |
| [include overview.qbk] |
| [include structure.qbk] [/getting about, directory and file structure.] |
| [include result_type_calc.qbk] |
| [include error_handling.qbk] |
| |
| [section:compilers_overview Compilers] |
| [compilers_overview] |
| [endsect] |
| [include config_macros.qbk] |
| [section:pol_overview Policies] |
| [policy_overview] |
| [endsect] |
| |
| [include thread_safety.qbk] |
| |
| [section:perf_over Performance] |
| [performance_overview] |
| [endsect] |
| [include building.qbk] |
| [section:history1 History and What's New] |
| [history] |
| [endsect] |
| [section:tr1 C99 and C++ TR1 C-style Functions] |
| [tr1_overview] |
| [endsect] |
| [include faq.qbk] |
| [include contact_info.qbk] |
| |
| [endsect] [/section:main_overview Overview] |
| |
| [section:dist Statistical Distributions and Functions] |
| [include dist_tutorial.qbk] |
| [include dist_reference.qbk] [/includes all individual distribution.qbk files] |
| [endsect] [/section:dist Statistical Distributions and Functions] |
| |
| [section:special Special Functions] |
| |
| [section:sf_gamma Gamma Functions] |
| [include tgamma.qbk] |
| [include lgamma.qbk] |
| [include digamma.qbk] |
| [include gamma_ratios.qbk] |
| [include igamma.qbk] |
| [include igamma_inv.qbk] |
| [include gamma_derivatives.qbk] |
| [endsect] [/section:sf_gamma Gamma Functions] |
| |
| [include factorials.qbk] |
| |
| [section:sf_beta Beta Functions] |
| [include beta.qbk] |
| [include ibeta.qbk] |
| [include ibeta_inv.qbk] |
| [include beta_derivative.qbk] |
| [endsect] [/section:sf_beta Beta Functions] |
| |
| [section:sf_erf Error Functions] |
| [include erf.qbk] |
| [include erf_inv.qbk] |
| [endsect] [/section:sf_erf Error Functions] |
| |
| [section:sf_poly Polynomials] |
| [include legendre.qbk] |
| [include laguerre.qbk] |
| [include hermite.qbk] |
| [include spherical_harmonic.qbk] |
| [endsect] [/section:sf_poly Polynomials] |
| |
| [section:bessel Bessel Functions] |
| [include bessel_introduction.qbk] |
| [include bessel_jy.qbk] |
| [include bessel_ik.qbk] |
| [include bessel_spherical.qbk] |
| [endsect] [/section:bessel Bessel Functions] |
| |
| [section:ellint Elliptic Integrals] |
| [include ellint_introduction.qbk] |
| [include ellint_carlson.qbk] |
| [include ellint_legendre.qbk] |
| [endsect] [/section:ellint Elliptic Integrals] |
| |
| [section:zetas Zeta Functions] |
| [include zeta.qbk] |
| [endsect] |
| |
| [include expint.qbk] |
| |
| [include powers.qbk] |
| [include sinc.qbk] |
| [include inv_hyper.qbk] |
| |
| [endsect] [/section:special Special Functions] |
| |
| [section:utils Floating Point Utilities] |
| [include rounding_func.qbk] |
| [include fpclassify.qbk] |
| [include sign.qbk] |
| [include fp_facets.qbk] |
| [include float_next.qbk] |
| [endsect] |
| |
| [section:extern_c TR1 and C99 external "C" Functions] |
| [section:tr1 C99 and TR1 C Functions Overview] |
| [tr1_overview] |
| [endsect] |
| [include c99_ref.qbk] |
| [include tr1_ref.qbk] |
| [endsect] |
| |
| [section:toolkit Tools, Constants and Internal Details] |
| |
| [include internals_overview.qbk] |
| |
| [section:internals1 Utilities - Constants & Tools] |
| [include constants.qbk] |
| [include series.qbk] |
| [include fraction.qbk] |
| [include rational.qbk] |
| [include roots.qbk] |
| [include roots_without_derivatives.qbk] |
| [include minima.qbk] |
| [include tuple.qbk] |
| [endsect] [/section:internals1 Utilities - Constants & Tools] |
| |
| [section:internals2 Testing and Development] |
| [include polynomial.qbk] |
| [include minimax.qbk] |
| [include relative_error.qbk] [/ uncertainty of floating-point calculations.] |
| [include test_data.qbk] |
| [endsect] [/section:internals2 Testing and Development] |
| |
| [endsect] [/section:toolkit Toolkit] |
| |
| [section:using_udt Use with User-Defined Floating-Point Types] |
| [include concepts.qbk] |
| [endsect] [/section:using_udt Use with User Defined Floating-Point Types] |
| |
| [include policy.qbk] |
| |
| [include performance.qbk] |
| |
| [section:backgrounders Backgrounders] |
| [include implementation.qbk] |
| [include error.qbk] [/relative error NOT handling] |
| [include lanczos.qbk] |
| [include remez.qbk] |
| [include references.qbk] |
| [endsect] [/section:backgrounders Backgrounders] |
| |
| [section:status Library Status] |
| [section:history1 History and What's New] |
| [history] |
| [endsect] |
| [include issues.qbk] |
| [include credits.qbk] |
| [/include test_HTML4_symbols.qbk] |
| [/include test_Latin1_symbols.qbk] |
| |
| [endsect] [/section:status Status and Roadmap] |
| |
| [? enable_index |
| ''' |
| <index type="function_name"> |
| <title>Function Index</title> |
| </index> |
| <index type="class_name"> |
| <title>Class Index</title> |
| </index> |
| <index type="typedef_name"> |
| <title>Typedef Index</title> |
| </index> |
| <index type="macro_name"> |
| <title>Macro Index</title> |
| </index> |
| <index/> |
| ''' |
| ] |
| |
| [/ math.qbk |
| Copyright 2008, 2010 John Maddock and Paul A. Bristow. |
| Distributed under the Boost Software License, Version 1.0. |
| (See accompanying file LICENSE_1_0.txt or copy at |
| http://www.boost.org/LICENSE_1_0.txt). |
| ] |
| |