Macro Index

acoshf

acoshl

asinh

asinh

asinhf

asinhl

assoc_laguerre

assoc_laguerref

assoc_laguerrel

assoc_legendre

Legendre (and Associated) Polynomials

assoc_legendref

assoc_legendrel

atanh

atanh

atanhf

atanhl

Additional Implementation Notes

B

beta

About the Math Toolkit

Beta

Beta Distribution

Binomial Coefficients

Binomial Distribution

Chi Squared Distribution

Credits and Acknowledgements

Derivative of the Incomplete Beta Function

Distribution Construction Example

Distributions are Objects

Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test

Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation

F Distribution

Graphing, Profiling, and Generating Test Data for Special Functions

Incomplete Beta Functions

Negative Binomial Distribution

Noncentral Beta Distribution

Noncentral F Distribution

Noncentral T Distribution

Ratios of Gamma Functions

Students t Distribution

Tables of the power function of the χ 2 test.

The Incomplete Beta Function Inverses

The Lanczos Approximation

Triangular Distribution

Weibull Distribution

betaf

betal

Additional Implementation Notes

BOOST_DEFINE_MATH_CONSTANT

BOOST_FPU_EXCEPTION_GUARD

BOOST_HAS_LOG1P

log1p

BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE_SPEC

BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC

Changing the Policy Defaults

BOOST_MATH_ASSERT_UNDEFINED_POLICY

Mathematically Undefined Function Policies

BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS

BOOST_MATH_CONTROL_FP

Setting Polices at Namespace Scope

BOOST_MATH_DECLARE_DISTRIBUTIONS

Setting Policies at Namespace or Translation Unit Scope

BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS

Calling User Defined Error Handlers

Setting Polices at Namespace Scope

Setting Policies at Namespace or Translation Unit Scope

BOOST_MATH_DENORM_ERROR_POLICY

BOOST_MATH_DIGITS10_POLICY

Geometric Distribution Examples

BOOST_MATH_DISCRETE_QUANTILE_POLICY

Binomial Quiz Example

Negative Binomial Sales Quota Example.

Additional Implementation Notes

BOOST_MATH_DOMAIN_ERROR_POLICY

Changing the Policy Defaults

Error Handling Example

BOOST_MATH_EVALUATION_ERROR_POLICY

BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE

BOOST_MATH_EXPLICIT_TEMPLATE_TYPE

BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY

BOOST_MATH_INSTRUMENT_CODE

BOOST_MATH_INSTRUMENT_FPU

BOOST_MATH_INSTRUMENT_VARIABLE

BOOST_MATH_INT_TABLE_TYPE

BOOST_MATH_INT_VALUE_SUFFIX

BOOST_MATH_MAX_POLY_ORDER

Iteration Limits Policies

BOOST_MATH_MAX_ROOT_ITERATION_POLICY

Iteration Limits Policies

BOOST_MATH_MAX_SERIES_ITERATION_POLICY

BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS

BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS

Compilers

BOOST_MATH_NO_REAL_CONCEPT_TESTS

Changing the Policy Defaults

BOOST_MATH_OVERFLOW_ERROR_POLICY

Compile Time Power of a Runtime Base

Error Handling Example

Geometric Distribution Examples

Negative Binomial Sales Quota Example.

BOOST_MATH_POLE_ERROR_POLICY

BOOST_MATH_POLY_METHOD

BOOST_MATH_PROMOTE_DOUBLE_POLICY

BOOST_MATH_PROMOTE_FLOAT_POLICY

BOOST_MATH_RATIONAL_METHOD

BOOST_MATH_ROUNDING_ERROR_POLICY

BOOST_MATH_SMALL_CONSTANT

BOOST_MATH_STD_USING

BOOST_MATH_UNDERFLOW_ERROR_POLICY

BOOST_MATH_USE_C99

C

cbrt

cbrt

Root Finding With Derivatives: Newton-Raphson, Halley & Schroeder

cbrtf

cbrtl

comp_ellint_1

comp_ellint_1f

comp_ellint_1l

comp_ellint_2

comp_ellint_2f

comp_ellint_2l

comp_ellint_3

comp_ellint_3f

comp_ellint_3l

copysign

Sign Manipulation Functions

copysignf

copysignl

cyl_bessel_i

Modified Bessel Functions of the First and Second Kinds

Noncentral Chi-Squared Distribution

cyl_bessel_if

cyl_bessel_il

cyl_bessel_j

Bessel Functions of the First and Second Kinds

Calculation of the Type of the Result

Modified Bessel Functions of the First and Second Kinds

Spherical Bessel Functions of the First and Second Kinds

cyl_bessel_jf

cyl_bessel_jl

cyl_bessel_k

Modified Bessel Functions of the First and Second Kinds

cyl_bessel_kf

cyl_bessel_kl

cyl_neumann

Bessel Functions of the First and Second Kinds

Modified Bessel Functions of the First and Second Kinds

Spherical Bessel Functions of the First and Second Kinds

cyl_neumannf

cyl_neumannl

E

ellint_1

Elliptic Integrals of the First Kind - Legendre Form

ellint_1f

ellint_1l

ellint_2

Elliptic Integrals of the Second Kind - Legendre Form

ellint_2f

ellint_2l

ellint_3

Elliptic Integrals of the Third Kind - Legendre Form

Known Issues, and TODO List

ellint_3f

ellint_3l

erf

About the Math Toolkit

Calling User Defined Error Handlers

Comparing Compilers

Credits and Acknowledgements

Getting the Best Performance from this Library

Error Function Inverses

Error Functions

erfc

Error Function Inverses

Error Functions

Incomplete Gamma Functions

Normal (Gaussian) Distribution

The Remez Method

erfcf

erfcl

erff

erfl

exp2

exp2f

exp2l

expint

Exponential Integral Ei

Exponential Integral En

expintf

expintl

expm1

Extreme Value Distribution

expm1

Exponential Distribution

Gamma

Pareto Distribution

powm1

Rayleigh Distribution

sqrt1pm1

Weibull Distribution

expm1f

expm1l

F

fdim

fdimf

fdiml

fma

fmaf

fmal

fmax

fmaxf

fmaxl

fmin

fminf

fminl

Floating-Point Classification: Infinities and NaN's

FP_INFINITE

FP_NAN

Floating-Point Classification: Infinities and NaN's

FP_NORMAL

Floating-Point Classification: Infinities and NaN's

FP_SUBNORMAL

Floating-Point Classification: Infinities and NaN's

FP_ZERO

Floating-Point Classification: Infinities and NaN's

H

hermite

Hermite Polynomials

hermitef

hermitel

hyperg

hypergf

hypergl

hypot

hypot

hypotf

hypotl

I

ilogb

ilogbf

ilogbl

L

laguerre

Laguerre (and Associated) Polynomials

laguerref

laguerrel

legendre

Legendre (and Associated) Polynomials

legendref

legendrel

lgamma

Graphing, Profiling, and Generating Test Data for Special Functions

Gamma

Hypergeometric Distribution

Log Gamma

Negative Binomial Distribution

Relative Error and Testing

Setting Polices at Namespace Scope

The Lanczos Approximation

lgammaf

lgammal

llrint

llrintf

llrintl

llround

Rounding Functions

llroundf

llroundl

log1p

Extreme Value Distribution

Exponential Distribution

Geometric Distribution

Known Issues, and TODO List

Log Gamma

log1p

Rayleigh Distribution

Series Evaluation

sqrt1pm1

Weibull Distribution

log1pf

log1pl

log2

Compile Time Power of a Runtime Base

log2f

log2l

logb

logbf

logbl

lrint

lrintf

lrintl

lround

Rounding Functions

lroundf

lroundl

N

nan

nanf

nanl

nearbyint

nearbyintf

nearbyintl

nextafter

Finding the Next Greater Representable Value (float_next)

Finding the Next Representable Value in a Specific Direction (nextafter)

Finding the Next Smaller Representable Value (float_prior)

nextafterf

nextafterl

nexttoward

Finding the Next Representable Value in a Specific Direction (nextafter)

nexttowardf

nexttowardl

R

remainder

The Remez Method

remainderf

remainderl

remquo

remquof

remquol

riemann_zeta

riemann_zetaf

riemann_zetal

rint

rintf

rintl

round

roundf

roundl

S

scalbln

scalblnf

scalblnl

scalbn

scalbnf

scalbnl

sph_bessel

Calculation of the Type of the Result

Spherical Bessel Functions of the First and Second Kinds

sph_besself

sph_bessell

sph_legendre

sph_legendref

sph_legendrel

sph_neumann

Spherical Bessel Functions of the First and Second Kinds

sph_neumannf

sph_neumannl

T

tgamma

tgammaf

tgammal

trunc

Error Handling

Error Handling Policies

Truncation Functions

truncf

truncl