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1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

1

  • 10

  • 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX

  • 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2

  • 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2

2

  • 2

4

  • 41

5

  • 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX

  • 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2

  • 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2

7

  • 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX

  • 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2

  • 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2

A

  • A

  • About the Math Toolkit

  • abscissa

  • absolute_gini_coefficient

  • accuracy

  • acosh

  • acoshf

  • acoshl

  • addition

  • add_fn

  • Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance

  • agm

  • Ai

  • Airy Ai Function

  • Airy Ai' Function

  • Airy Bi Function

  • Airy Bi' Function

  • airy_ai

  • airy_ai_prime

  • airy_ai_zero

  • airy_bi

  • airy_bi_prime

  • airy_bi_zero

  • al

  • Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions

  • Anderson-Darling Test

  • anderson_darling_normality_statistic

  • apply_recurrence_relation_backward

  • apply_recurrence_relation_forward

  • arcsine

  • Arcsine Distribution

  • arcsine_distribution

  • area

  • arguments

  • Arithmetic-Geometric Mean

  • asinh

  • asinhf

  • asinhl

  • assert

  • assoc_laguerre

  • assoc_laguerref

  • assoc_laguerrel

  • assoc_legendre

  • assoc_legendref

  • assoc_legendrel

  • at

  • atanh

  • atanhf

  • atanhl

  • autodiff

  • Automatic Differentiation

B

  • background_color

  • backward_recurrence_iterator

  • Barycentric Rational Interpolation

  • barycentric_rational

  • bernoulli

  • Bernoulli Distribution

  • Bernoulli Numbers

  • bernoulli_b2n

  • bernoulli_distribution

  • Bessel Functions of the First and Second Kinds

  • Beta

  • beta

  • Beta Distribution

  • betac

  • betaf

  • betal

  • beta_distribution

  • Bezier Polynomials

  • bezier_polynomial

  • Bilinear Uniform Interpolation

  • bilinear_uniform

  • binomial

  • Binomial Coefficients

  • Binomial Coin-Flipping Example

  • Binomial Distribution

  • Binomial Quiz Example

  • binomial_coefficient

  • binomial_distribution

  • bisect

  • Bisection

  • Bivariate Statistics

  • bool

  • Boost.Math Frequently Asked Questions (FAQs)

  • Boost.Math Macros

  • Boost.Math Tuning

  • BOOST_DEFINE_MATH_CONSTANT

  • BOOST_FLOAT128_C

  • BOOST_FLOAT16_C

  • BOOST_FLOAT32_C

  • BOOST_FLOAT64_C

  • BOOST_FLOAT80_C

  • BOOST_FLOATMAX_C

  • BOOST_FPU_EXCEPTION_GUARD

  • BOOST_HAS_LOG1P

  • BOOST_JOIN

  • BOOST_MATH_ASSERT

  • BOOST_MATH_ASSERT_UNDEFINED_POLICY

  • BOOST_MATH_CONTROL_FP

  • BOOST_MATH_DECLARE_DISTRIBUTIONS

  • BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS

  • BOOST_MATH_DENORM_ERROR_POLICY

  • BOOST_MATH_DIGITS10_POLICY

  • BOOST_MATH_DISABLE_FLOAT128

  • BOOST_MATH_DISCRETE_QUANTILE_POLICY

  • BOOST_MATH_DOMAIN_ERROR_POLICY

  • BOOST_MATH_EVALUATION_ERROR_POLICY

  • BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC

  • 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

  • BOOST_MATH_MAX_ROOT_ITERATION_POLICY

  • BOOST_MATH_MAX_SERIES_ITERATION_POLICY

  • BOOST_MATH_NO_ATOMIC_INT

  • BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS

  • BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS

  • BOOST_MATH_NO_REAL_CONCEPT_TESTS

  • BOOST_MATH_OVERFLOW_ERROR_POLICY

  • 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_STANDALONE

  • BOOST_MATH_STD_USING

  • BOOST_MATH_TEST_VALUE

  • BOOST_MATH_UNDERFLOW_ERROR_POLICY

  • BOOST_MATH_USE_C99

  • BOOST_MATH_USE_FLOAT128

  • BOOST_STRINGIZE

  • Bracket and Solve Root

  • bracket_and_solve_root

  • branch

  • brent_find_minima

  • bug

  • by

  • bytes

C

  • c

  • C99 and C++ TR1 C-style Functions

  • C99 and TR1 C Functions Overview

  • C99 C Functions

  • Calculation of the Type of the Result

  • called

  • Calling User Defined Error Handlers

  • cancel

  • Cardinal B-splines

  • Cardinal Cubic B-spline interpolation

  • Cardinal Quadratic B-spline interpolation

  • Cardinal Quintic B-spline interpolation

  • Cardinal Trigonometric interpolation

  • cardinal_b_spline

  • cardinal_b_spline_double_prime

  • cardinal_b_spline_prime

  • cardinal_cubic_b_spline

  • cardinal_cubic_hermite

  • cardinal_cubic_hermite_aos

  • cardinal_quadratic_b_spline

  • cardinal_quintic_b_spline

  • cardinal_quintic_hermite

  • cardinal_quintic_hermite_aos

  • cardinal_trigonometric

  • case

  • Catmull-Rom Splines

  • catmull_rom

  • cauchy

  • Cauchy-Lorentz Distribution

  • cauchy_distribution

  • Caveats

  • cbrt

  • cbrtf

  • cbrtl

  • cdf

  • Centered Continued Fractions

  • centered_continued_fraction

  • Cephes

  • changesign

  • Changing the Policy Defaults

  • Changing the Policy on an Ad Hoc Basis for the Special Functions

  • Chebyshev Polynomials

  • chebyshev_clenshaw_recurrence

  • chebyshev_next

  • chebyshev_t

  • chebyshev_transform

  • chebyshev_t_prime

  • chebyshev_u

  • checked_narrowing_cast

  • chf

  • Chi Squared Distribution

  • Chi-Square Test for the Standard Deviation

  • chi_squared

  • chi_squared_distribution

  • clip

  • Cohen Acceleration

  • cohen_acceleration

  • Comparing Different Compilers

  • Comparing the means of two samples with the Students-t test

  • Comparison of Cube Root Finding Algorithms

  • Comparison of Elliptic Integral Root Finding Algorithms

  • Comparison of Nth-root Finding Algorithms

  • Comparison with C, R, FORTRAN-style Free Functions

  • Comparisons to Other Open Source Libraries

  • Compile Time Power of a Runtime Base

  • Compilers

  • complement

  • Complements are supported too - and when to use them

  • complex

  • complex_newton

  • complex_step_derivative

  • compute

  • Computing the Fifth Root

  • 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

  • Conceptual Requirements for Distribution Types

  • Conceptual Requirements for Real Number Types

  • Condition Numbers

  • confidence intervals on the mean with the Students-t distribution

  • Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution

  • conf_hyperg

  • conf_hypergf

  • conf_hypergl

  • conj

  • constants

  • constexpr

  • Constexpr CMath

  • construction_traits

  • constructors

  • Contact Info and Support

  • Continued Fraction Evaluation

  • continued_fraction_a

  • continued_fraction_b

  • conventions

  • converge

  • convergence

  • copysign

  • copysignf

  • copysignl

  • correlation_coefficient

  • Cost of Finite-Difference Numerical Differentiation

  • Cost of High-Precision Non-built-in Floating-point

  • cos_pi

  • covariance

  • cpp_bin_float

  • cpp_dec_float

  • Credits and Acknowledgements

  • crop_color

  • Cube root(28) for float, double, long double and cpp_bin_float_50

  • Cubic Hermite interpolation

  • cubic_hermite

  • cubic_roots

  • Cyclic Hankel Functions

  • cylindrical

  • cylindrospherical

  • cyl_bessel_i

  • cyl_bessel_if

  • cyl_bessel_il

  • cyl_bessel_i_prime

  • cyl_bessel_j

  • cyl_bessel_jl

  • cyl_bessel_j_prime

  • cyl_bessel_j_zero

  • cyl_bessel_k

  • cyl_bessel_kf

  • cyl_bessel_kl

  • cyl_bessel_k_prime

  • cyl_hankel_1

  • cyl_hankel_2

  • cyl_neumann

  • cyl_neumannl

  • cyl_neumann_prime

  • cyl_neumann_zero

D

  • D

  • data

  • Daubechies Filters

  • Daubechies Wavelets and Scaling Functions

  • daubechies_scaling

  • daubechies_scaling_filter

  • daubechies_wavelet

  • daubechies_wavelet_filter

  • daubechies_wavelet_transform

  • DCDFLIB

  • default_policy

  • defined

  • Defining New Constants

  • derivative

  • Derivative of the Incomplete Beta Function

  • Derivative of the Incomplete Gamma Function

  • Derivatives of the Bessel Functions

  • differentiation

  • Digamma

  • digamma

  • directory

  • Directory and File Structure

  • dis

  • Discrete Probability Distributions

  • Discrete Quantile Policies

  • discrete_lanczos_derivative

  • discrete_quantile_type

  • distribution

  • Distribution Algorithms

  • Distribution Construction Examples

  • Distribution performance comparison for different performance options with GNU C++ version 9.2.1 20191008 on linux

  • Distribution performance comparison with GNU C++ version 9.2.1 20191008 on linux

  • Distributions are Objects

  • div_t

  • Document Conventions

  • domain

  • double

  • Double Factorial

  • Double-exponential quadrature

  • double_factorial

  • double_t

E

  • edit_control_point

  • ellint_1

  • ellint_1f

  • ellint_1l

  • ellint_2

  • ellint_2f

  • ellint_2l

  • ellint_3

  • ellint_3f

  • ellint_3l

  • ellint_d

  • ellint_rc

  • ellint_rd

  • ellint_rf

  • ellint_rg

  • ellint_rj

  • Elliptic Integral D - Legendre Form

  • Elliptic Integral Overview

  • Elliptic Integrals - Carlson Form

  • Elliptic Integrals of the First Kind - Legendre Form

  • Elliptic Integrals of the Second Kind - Legendre Form

  • Elliptic Integrals of the Third Kind - Legendre Form

  • Empirical Cumulative Distribution Function

  • empirical_cumulative_distribution_function

  • Engel Expansion

  • engel_expansion

  • entropy

  • envelope_color

  • epsilon

  • epsilon_difference

  • eps_tolerance

  • equal_ceil

  • equal_floor

  • equal_nearest_integer

  • erf

  • erfc

  • erfcf

  • erfcl

  • erfc_inv

  • erff

  • erfl

  • erf_inv

  • Error Function erf and complement erfc

  • Error Function Inverses

  • Error Handling

  • Error Handling Example

  • Error Handling Policies

  • Error Logs For Error Rate Tables

  • Error rates for beta

  • Error rates for beta (incomplete)

  • Error rates for boost::math::powm1

  • Error rates for cyl_bessel_i

  • Error rates for cyl_bessel_i (integer orders)

  • Error rates for cyl_bessel_i_prime (integer orders)

  • Error rates for cyl_bessel_j

  • Error rates for cyl_bessel_j (integer orders)

  • Error rates for cyl_bessel_j_prime (integer orders)

  • Error rates for cyl_bessel_k

  • Error rates for cyl_bessel_k (integer orders)

  • Error rates for cyl_bessel_k_prime (integer orders)

  • Error rates for cyl_neumann

  • Error rates for cyl_neumann (integer orders)

  • Error rates for cyl_neumann_prime (integer orders)

  • Error rates for digamma

  • Error rates for ellint_1

  • Error rates for ellint_1 (complete)

  • Error rates for ellint_2

  • Error rates for ellint_2 (complete)

  • Error rates for ellint_3

  • Error rates for ellint_3 (complete)

  • Error rates for ellint_d

  • Error rates for ellint_d (complete)

  • Error rates for ellint_rc

  • Error rates for ellint_rd

  • Error rates for ellint_rf

  • Error rates for ellint_rg

  • Error rates for ellint_rj

  • Error rates for erf

  • Error rates for erfc

  • Error rates for expint (Ei)

  • Error rates for expint (En)

  • Error rates for expm1

  • Error rates for gamma_p

  • Error rates for gamma_p_inv

  • Error rates for gamma_q

  • Error rates for gamma_q_inv

  • Error rates for ibeta

  • Error rates for ibetac

  • Error rates for ibetac_inv

  • Error rates for ibeta_inv

  • Error rates for jacobi_cn

  • Error rates for jacobi_dn

  • Error rates for jacobi_sn

  • Error rates for laguerre(n, m, x)

  • Error rates for laguerre(n, x)

  • Error rates for legendre_p

  • Error rates for legendre_p (associated)

  • Error rates for legendre_q

  • Error rates for lgamma

  • Error rates for log1p

  • Error rates for non central beta CDF

  • Error rates for non central beta CDF complement

  • Error rates for non central chi squared CDF

  • Error rates for non central chi squared CDF complement

  • Error rates for non central t CDF

  • Error rates for non central t CDF complement

  • Error rates for owens_t

  • Error rates for polygamma

  • Error rates for sph_bessel

  • Error rates for sph_neumann

  • Error rates for tgamma

  • Error rates for tgamma (incomplete)

  • Error rates for tgamma1pm1

  • Error rates for tgamma_lower

  • Error rates for trigamma

  • Error rates for zeta

  • Estimating Sample Sizes for a Binomial Distribution.

  • Estimating Sample Sizes for the Negative Binomial.

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

  • eta

  • evaluate_even_polynomial

  • evaluate_odd_polynomial

  • evaluate_polynomial

  • evaluate_rational

  • evaluation_condition_number

  • Exact-Width Floating-Point typedef s

  • Examples

  • Examples of Root-Finding (with and without derivatives)

  • Examples Where Root Finding Goes Wrong

  • excess_kurtosis

  • exp2

  • exp2f

  • exp2l

  • expint

  • expintf

  • expintl

  • expint_as_fraction

  • expint_fraction

  • expm1

  • expm1f

  • expm1l

  • exponential

  • Exponential Distribution

  • Exponential function

  • Exponential Integral Ei

  • Exponential Integral En

  • exponential_distribution

  • expression

  • exp_sinh

  • Extras/Future Directions

  • Extreme Value Distribution

  • extreme_value

  • extreme_value_distribution

F

  • F Distribution

  • Facets for Floating-Point Infinities and NaNs

  • Factorial

  • factorial

  • factors

  • Falling Factorial

  • falling_factorial

  • FAQ

  • fdim

  • fdimf

  • fdiml

  • feedback

  • fibonacci

  • Fibonacci Numbers

  • fibonacci_generator

  • file

  • Find Location (Mean) Example

  • Find mean and standard deviation example

  • Find Scale (Standard Deviation) Example

  • Finding the Cubed Root With and Without Derivatives

  • 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)

  • Finding Zeros of Airy Functions

  • Finding Zeros of Bessel Functions of the First and Second Kinds

  • find_alpha

  • find_degrees_of_freedom

  • find_location

  • find_lower_bound_on_p

  • find_non_centrality

  • find_scale

  • find_upper_bound_on_p

  • finite_difference_derivative

  • first_four_moments

  • fisher_f

  • fisher_f_distribution

  • float

  • Floating-Point Classification: Infinities and NaNs

  • Floating-point Comparison

  • Floating-Point Constant Macros

  • Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values

  • float_advance

  • float_distance

  • float_next

  • float_prior

  • float_t

  • float_type

  • fma

  • fmaf

  • fmal

  • fmax

  • fmaxf

  • fmaxl

  • fmin

  • fminf

  • fminl

  • font_color

  • forwarding_policy

  • forward_cardinal_b_spline

  • forward_recurrence_iterator

  • Fourier Integrals

  • fpclassify

  • FP_INFINITE

  • FP_NAN

  • FP_NORMAL

  • FP_SUBNORMAL

  • FP_ZERO

  • freedom

  • function

  • functions

  • fvar

G

  • G

  • Gamma

  • gamma

  • Gamma (and Erlang) Distribution

  • gamma_distribution

  • gamma_p

  • gamma_p_derivative

  • gamma_p_inv

  • gamma_p_inva

  • gamma_q

  • gamma_q_inv

  • gamma_q_inva

  • gauss

  • Gauss-Kronrod Quadrature

  • Gauss-Legendre quadrature

  • gauss_kronrod

  • gegenbauer

  • Gegenbauer Polynomials

  • gegenbauer_derivative

  • gegenbauer_prime

  • Generalizing to Compute the nth root

  • Generic operations common to all distributions are non-member functions

  • geometric

  • Geometric Distribution

  • Geometric Distribution Examples

  • geometric_distribution

  • get

  • Getting the Best Performance from this Library: Compiler and Compiler Options

  • get_epsilon

  • get_from_string

  • gini_coefficient

  • GIT

  • Graphing, Profiling, and Generating Test Data for Special Functions

  • Greatest-width floating-point typedef

  • GSL

H

  • halley_iterate

  • hamming_distance

  • Handling functions with large features near an endpoint with tanh-sinh quadrature

  • hazard

  • hermite

  • Hermite Polynomials

  • hermitef

  • hermitel

  • hermite_next

  • Heuman Lambda Function

  • heuman_lambda

  • Hints on using float128 (and __float128)

  • History

  • History and What's New

  • horizontal_lines

  • hoyer_sparsity

  • hyperexponential

  • Hyperexponential Distribution

  • hyperexponential_distribution

  • hyperg

  • hypergeometric

  • Hypergeometric 0 F 1

  • Hypergeometric 1 F 0

  • Hypergeometric 1 F 1

  • Hypergeometric 2 F 0

  • Hypergeometric Distribution

  • Hypergeometric p F q

  • hypergeometric_0F1

  • hypergeometric_1F0

  • hypergeometric_1F1

  • hypergeometric_1F1_regularized

  • hypergeometric_2F0

  • hypergeometric_distribution

  • hypergeometric_pFq

  • hypergeometric_pFq_precision

  • hypergf

  • hypergl

  • hypot

  • hypotf

  • hypotl

I

  • i

  • ibeta

  • ibetac

  • ibetac_inv

  • ibetac_inva

  • ibetac_invb

  • ibeta_derivative

  • ibeta_inv

  • ibeta_inva

  • ibeta_invb

  • If and How to Build a Boost.Math Library, and its Examples and Tests

  • ilogb

  • ilogbf

  • ilogbl

  • Implementation

  • Implementation and Accuracy

  • Implementation Notes

  • Implementation of Float128 type

  • Incomplete Beta Function Inverses

  • Incomplete Beta Functions

  • Incomplete Gamma Function Inverses

  • Incomplete Gamma Functions

  • infinity

  • integrate

  • integration

  • Internal Floating-point Promotion Policies

  • interpolation

  • Interpreting these Results

  • interquartile_range

  • interval

  • Introduction

  • inverse

  • Inverse Chi Squared Distribution

  • Inverse Chi-Squared Distribution Bayes Example

  • Inverse Gamma Distribution

  • Inverse Gaussian (or Inverse Normal) Distribution

  • inverse_chi_squared

  • inverse_chi_squared_distribution

  • inverse_gamma_distribution

  • inverse_gaussian

  • inverse_gaussian_distribution

  • iround

  • isfinite

  • isinf

  • isnan

  • isnormal

  • Iteration Limits Policies

  • itrunc

J

  • J

  • jacobi

  • Jacobi Elliptic Function cd

  • Jacobi Elliptic Function cn

  • Jacobi Elliptic Function cs

  • Jacobi Elliptic Function dc

  • Jacobi Elliptic Function dn

  • Jacobi Elliptic Function ds

  • Jacobi Elliptic Function nc

  • Jacobi Elliptic Function nd

  • Jacobi Elliptic Function ns

  • Jacobi Elliptic Function sc

  • Jacobi Elliptic Function sd

  • Jacobi Elliptic Function sn

  • Jacobi Elliptic SN, CN and DN

  • Jacobi Polynomials

  • Jacobi Theta Function θ 1

  • Jacobi Theta Function θ 2

  • Jacobi Theta Function θ 3

  • Jacobi Theta Function θ 4

  • Jacobi Zeta Function

  • jacobi_cd

  • jacobi_cn

  • jacobi_cs

  • jacobi_dc

  • jacobi_derivative

  • jacobi_dn

  • jacobi_double_prime

  • jacobi_ds

  • jacobi_elliptic

  • jacobi_nc

  • jacobi_nd

  • jacobi_ns

  • jacobi_prime

  • jacobi_sc

  • jacobi_sd

  • jacobi_sn

  • jacobi_theta1

  • jacobi_theta1tau

  • jacobi_theta2

  • jacobi_theta2tau

  • jacobi_theta3

  • jacobi_theta3m1

  • jacobi_theta3m1tau

  • jacobi_theta3tau

  • jacobi_theta4

  • jacobi_theta4m1

  • jacobi_theta4m1tau

  • jacobi_theta4tau

  • jacobi_zeta

K

  • k

  • kahan_sum_series

  • Known Issues, and TODO List

  • Kolmogorov-Smirnov Distribution

  • kolmogorov_smirnov

  • kolmogorov_smirnov_distribution

  • kurtosis

  • kurtosis_excess

L

  • l

  • l0_pseudo_norm

  • l1

  • l1_distance

  • l1_norm

  • l2_distance

  • l2_norm

  • laguerre

  • Laguerre (and Associated) Polynomials

  • laguerref

  • laguerrel

  • laguerre_next

  • Lambert W function

  • lambert_w0

  • lambert_w0_prime

  • lambert_wm1

  • lambert_wm1_prime

  • Lanczos approximation

  • Lanczos Smoothing Derivatives

  • laplace

  • Laplace Distribution

  • laplace_distribution

  • ldexp

  • legendre

  • Legendre (and Associated) Polynomials

  • Legendre-Stieltjes Polynomials

  • legendref

  • legendrel

  • legendre_next

  • legendre_p

  • legendre_p_prime

  • legendre_p_zeros

  • legendre_q

  • legendre_stieltjes

  • lgamma

  • lgammaf

  • lgammal

  • Library Comparison with GNU C++ version 9.2.1 20191008 on linux

  • Library Comparison with Microsoft Visual C++ version 14.2 on Windows x64

  • Linear Regression

  • Linpack Benchmark

  • Ljung-Box Test

  • ljung_box

  • llrint

  • llrintf

  • llrintl

  • llround

  • llroundf

  • llroundl

  • lltrunc

  • Locating Function Minima using Brent's algorithm

  • location

  • Log Gamma

  • Log Normal Distribution

  • log1p

  • log1pf

  • log1pl

  • log1p_series

  • log2

  • log2f

  • log2l

  • logb

  • logbf

  • logbl

  • logistic

  • Logistic Distribution

  • logistic_distribution

  • lognormal

  • lognormal_distribution

  • log_hypergeometric_1F1

  • lookup

  • lp_distance

  • lp_norm

  • lrint

  • lrintf

  • lrintl

  • lround

  • lroundf

  • lroundl

  • ltrunc

  • Luroth Expansions

  • luroth_expansion

M

  • m

  • m2m4_snr_estimator

  • m2m4_snr_estimator_db

  • make_ftuple

  • make_fvar

  • makima

  • Math Constants FAQs

  • Mathematical Constants

  • Mathematically Undefined Function Policies

  • max_factorial

  • mean

  • means_and_covariance

  • mean_and_sample_variance

  • median

  • median_absolute_deviation

  • message

  • min

  • Minimax Approximations and the Remez Algorithm

  • mode

  • Modified Akima interpolation

  • Modified Bessel Functions of the First and Second Kinds

  • More complex example - Inverting the Elliptic Integrals

  • msg

  • multipolar

  • multiprecision

N

  • n

  • Naive Monte Carlo Integration

  • naive_monte_carlo

  • Namespaces

  • nan

  • nanf

  • nanl

  • nan_color

  • navigation

  • nearbyint

  • nearbyintf

  • nearbyintl

  • Negative Binomial Distribution

  • Negative Binomial Sales Quota Example.

  • negative_binomial

  • negative_binomial_distribution

  • newton_raphson_iterate

  • nextafter

  • nextafterf

  • nextafterl

  • nexttoward

  • nexttowardf

  • nexttowardl

  • Non-Member Properties

  • Noncentral Beta Distribution

  • Noncentral Chi-Squared Distribution

  • Noncentral F Distribution

  • Noncentral T Distribution

  • nonfinite_num_get

  • nonfinite_num_put

  • non_central_beta

  • non_central_beta_distribution

  • non_central_chi_squared

  • non_central_chi_squared_distribution

  • non_central_f

  • non_central_f_distribution

  • non_central_t

  • non_central_t_distribution

  • norm

  • normal

  • Normal (Gaussian) Distribution

  • normalise

  • normalize

  • normal_distribution

  • Norms

  • not

  • Numerical Differentiation

O

  • O

  • Obtaining the Size of a Unit In the Last Place - ULP

  • octonion

  • Octonion Creation Functions

  • Octonion Member Functions

  • Octonion Member Typedefs

  • Octonion Non-Member Operators

  • Octonion Specializations

  • Octonion Value Operations

  • odd

  • of

  • one

  • ooura_fourier_cos

  • ooura_fourier_sin

  • operator

  • oracle_snr

  • oracle_snr_db

  • Other Hints and tips

  • Overview

  • Overview of the Jacobi Elliptic Functions

  • Overview of the Jacobi Theta Functions

  • Owen's T function

  • owens_t

P

  • P

  • p1

  • pareto

  • Pareto Distribution

  • pareto_distribution

  • pchip

  • PCHIP interpolation

  • pdf

  • performance

  • Performance Overview

  • Performance Test Applications

  • Performance Tuning Macros

  • point

  • poisson

  • Poisson Distribution

  • poisson_distribution

  • polar

  • Policies

  • Policy Class Reference

  • Policy Overview

  • policy_type

  • Polygamma

  • polygamma

  • Polynomial and Rational Function Evaluation

  • Polynomial Method Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux

  • Polynomial Method Comparison with GNU C++ version 9.2.1 20191008 on linux

  • Polynomial Method Comparison with Intel C++ C++0x mode version 1910 on linux

  • Polynomial Method Comparison with Microsoft Visual C++ version 14.2 on Windows x64

  • Polynomials

  • positive

  • pow

  • powm1

  • Precision Policies

  • precision_type

  • prime

  • Prime Numbers

  • promote_args

  • push_back

Q

  • q

  • quad

  • quadrature

  • Quadrature and Differentiation

  • quantile

  • quaternion

  • Quaternion Creation Functions

  • Quaternion Member Functions

  • Quaternion Member Typedefs

  • Quaternion Non-Member Operators

  • Quaternion Specializations

  • Quaternion Value Operations

  • quiet_NaN

  • Quintic Hermite interpolation

  • quintic_hermite

R

  • r

  • Random Variates and Distribution Parameters

  • range

  • Rational Method Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux

  • Rational Method Comparison with GNU C++ version 9.2.1 20191008 on linux

  • Rational Method Comparison with Intel C++ C++0x mode version 1910 on linux

  • Rational Method Comparison with Microsoft Visual C++ version 14.2 on Windows x64

  • Ratios of Gamma Functions

  • rayleigh

  • Rayleigh Distribution

  • rayleigh_distribution

  • RealType

  • Reciprocal square root

  • Reference

  • References

  • refinement

  • Relative Error

  • Relative Error and Testing

  • relative_difference

  • remainder

  • remainderf

  • remainderl

  • Remez Method

  • remquo

  • remquof

  • remquol

  • Representation Distance Between Two floating-point Values (ULP) float_distance

  • resize

  • return_data

  • return_x

  • return_y

  • Riemann Zeta Function

  • riemann_zeta

  • riemann_zetaf

  • riemann_zetal

  • rint

  • rintf

  • rintl

  • Rising Factorial

  • rising_factorial

  • Rmath

  • root

  • Root Finding With Derivatives: Newton-Raphson, Halley & Schröder

  • Root Finding Without Derivatives

  • root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX

  • root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2

  • root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2

  • Root-finding using Boost.Multiprecision

  • Roots of Cubic Polynomials

  • round

  • roundf

  • Rounding Functions

  • roundl

  • rsqrt

  • Runs tests

  • runs_above_and_below_median

  • runs_above_and_below_threshold

S

  • sample_absolute_gini_coefficient

  • sample_gini_coefficient

  • sample_variance

  • scalbln

  • scalblnf

  • scalblnl

  • scalbn

  • scalbnf

  • scalbnl

  • scale

  • schroder_iterate

  • semipolar

  • series

  • Series Evaluation

  • set

  • Setting Polices at Namespace Scope

  • Setting Policies at Namespace or Translation Unit Scope

  • Setting Policies for Distributions on an Ad Hoc Basis

  • Setting the Maximum Interval Halvings and Memory Requirements

  • Setting the Termination Condition for Integration

  • set_zero

  • shape

  • sign

  • Sign Manipulation Functions

  • Signal Statistics

  • signbit

  • Simple Continued Fractions

  • simple_continued_fraction

  • sinc_pi

  • sinhc_pi

  • sinh_sinh

  • Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview

  • sin_pi

  • size

  • Skew Normal Distribution

  • skewness

  • skew_normal_distribution

  • small

  • Some Miscellaneous Examples of the Normal (Gaussian) Distribution

  • spherical

  • Spherical Bessel Functions of the First and Second Kinds

  • Spherical Hankel Functions

  • Spherical Harmonics

  • spherical_harmonic

  • spherical_harmonic_i

  • spherical_harmonic_r

  • sph_bessel

  • sph_bessell

  • sph_bessel_prime

  • sph_hankel_1

  • sph_hankel_2

  • sph_legendre

  • sph_legendref

  • sph_legendrel

  • sph_neumann

  • sph_neumannl

  • sph_neumann_prime

  • sqrt1pm1

  • Standalone Usage

  • standard_deviation

  • step

  • Students t Distribution

  • students_t

  • students_t_distribution

  • subtraction

  • sum

  • Summary

  • summation_condition_number

  • sum_series

  • sup

  • support

  • Supported/Tested Compilers

  • sup_distance

  • sup_norm

  • Synopsis

T

  • t

  • t -tests

  • Tables of the power function of the chi 2 test.

  • Tangent Numbers

  • tangent_t2n

  • tanh_sinh

  • Template Class octonion

  • Template Class quaternion

  • term

  • Termination Condition Functors

  • terms

  • test

  • Test Program

  • Testing

  • Testing a sample mean for difference from a "true" mean

  • tgamma

  • tgamma1pm1

  • tgammaf

  • tgammal

  • tgamma_delta_ratio

  • tgamma_lower

  • tgamma_ratio

  • Thread Safety

  • title

  • To Do

  • tol

  • toms748_solve

  • Tools For 3-Term Recurrence Relations

  • total_variation

  • TR1 C Functions Quick Reference

  • Trac

  • Trading Accuracy for Performance

  • trapezoidal

  • Trapezoidal Quadrature

  • triangular

  • Triangular Distribution

  • triangular_distribution

  • Trigamma

  • trigamma

  • trunc

  • Truncation Functions

  • truncf

  • truncl

  • typeid

U

  • u

  • ulp

  • ULPs Plots

  • ulps_plot

  • ulp_envelope

  • unchecked_bernoulli_b2n

  • unchecked_factorial

  • unchecked_fibonacci

  • uniform

  • Uniform Distribution

  • uniform_distribution

  • Univariate Statistics

  • unreal

  • update_target_error

  • upper_incomplete_gamma_fract

  • Use in non-template code

  • Use in template code

  • Use with User-Defined Floating-Point Types - Boost.Multiprecision and others

  • Use With User-Defined Types

  • user_denorm_error

  • user_domain_error

  • user_evaluation_error

  • user_indeterminate_result_error

  • user_overflow_error

  • user_pole_error

  • user_rounding_error

  • user_underflow_error

  • Using Boost.Math with High-Precision Floating-Point Libraries

  • Using Boost.Multiprecision

  • Using C++11 Lambda's

  • Using e_float Library

  • Using Macros to Change the Policy Defaults

  • Using NTL Library

  • Using with GCC's __float128 datatype

  • Using With MPFR or GMP - High-Precision Floating-Point Library

  • Using without expression templates for Boost.Test and others

V

  • v

  • value

  • values

  • value_type

  • variance

  • Vector-valued Barycentric Rational Interpolation

  • vector_barycentric_rational

  • vertical_lines

W

  • W

  • Wavelet Transforms

  • weibull

  • Weibull Distribution

  • weibull_distribution

  • weights

  • Whittaker-Shannon interpolation

  • whittaker_shannon

  • Why use a high-precision library rather than built-in floating-point types?

  • width

X

  • x

Y

  • y

Z

  • z -tests

  • zero

  • zeta

| | Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert Holin, Bruno Lalande, John Maddock, Evan Miller, Jeremy Murphy, Matthew Pulver, Johan Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle Walker and Xiaogang Zhang

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)

|