Function Index

Boost C++ Libraries

Function Index

1 2 4 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

2

2

4

41
- The Incomplete Beta Function Inverses

A

A
- Kolmogorov-Smirnov Distribution
abscissa
absolute_gini_coefficient
- Signal Statistics
acosh
acoshf
acoshl
addition
- Fibonacci Numbers
add_fn
- ULPs Plots
agm
- Arithmetic-Geometric Mean
- Mathematical Constants
Ai
- Finding Zeros of Airy Functions
- Finding Zeros of Bessel Functions of the First and Second Kinds
airy_ai
- Airy Ai Function
airy_ai_prime
- Airy Ai' Function
airy_ai_zero
- Finding Zeros of Airy Functions
airy_bi
- Airy Bi Function
airy_bi_prime
- Airy Bi' Function
airy_bi_zero
- Finding Zeros of Airy Functions
- History and What's New
al
- Lambert W function
anderson_darling_normality_statistic
- The Anderson-Darling Test
apply_recurrence_relation_backward
- Tools For 3-Term Recurrence Relations
apply_recurrence_relation_forward
- Tools For 3-Term Recurrence Relations
area
- Use in non-template code
- Use in template code
arguments
- Binomial Coefficients
asinh
asinhf
asinhl
assert
- Beta Distribution
- Introduction
assoc_laguerre
assoc_laguerref
assoc_laguerrel
assoc_legendre
assoc_legendref
assoc_legendrel
at
- Additional Implementation Notes
- Bilinear Uniform Interpolation
atanh
atanhf
atanhl

B

background_color
- ULPs Plots
barycentric_rational
- Barycentric Rational Interpolation
bernoulli_b2n
- Bernoulli Numbers
beta
betac
- Incomplete Beta Functions
betaf
betal
binomial_coefficient
- Binomial Coefficients
bisect
- Bisection
- Root Finding Without Derivatives
black_body
- Color Maps
bool
- Polynomials
BOOST_FLOAT128_C
- Greatest-width floating-point typedef
BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS
- Setting Policies at Namespace or Translation Unit Scope
bracket_and_solve_root
branch
- Lambert W function
- Other Hints and tips
brent_find_minima
- Locating Function Minima using Brent's algorithm
by
bytes
- Daubechies Wavelets and Scaling Functions

C

c
- Triangular Distribution
called
- Implementation
cancel
- Naive Monte Carlo Integration
cardinal_b_spline
- Cardinal B-splines
cardinal_b_spline_double_prime
- Cardinal B-splines
cardinal_b_spline_prime
- Cardinal B-splines
cardinal_cubic_b_spline
- Cardinal Cubic B-spline interpolation
case
cbrt
cbrtf
cbrtl
cdf
changesign
- Sign Manipulation Functions
chatterjee_correlation
chebyshev_clenshaw_recurrence
- Chebyshev Polynomials
chebyshev_next
- Chebyshev Polynomials
chebyshev_t
- Chebyshev Polynomials
chebyshev_transform
- Chebyshev Polynomials
chebyshev_t_prime
- Chebyshev Polynomials
chebyshev_u
- Chebyshev Polynomials
checked_narrowing_cast
- Error Handling
chf
- Non-Member Properties
clip
- ULPs Plots
cohen_acceleration
complement
complex_newton
- Root Finding With Derivatives: Newton-Raphson, Halley & Schröder
complex_step_derivative
- Numerical Differentiation
compute
- Defining New Constants
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
conf_hyperg
conf_hypergf
conf_hypergl
conj
constexpr
- Introduction
constructors
- Octonion Member Functions
- Quaternion Member Functions
continued_fraction_a
- Continued Fraction Evaluation
continued_fraction_b
- Continued Fraction Evaluation
converge
convergence
- Root Finding With Derivatives: Newton-Raphson, Halley & Schröder
copysign
copysignf
copysignl
correlation_coefficient
- Bivariate Statistics
cos_pi
covariance
- Bivariate Statistics
crop_color
- ULPs Plots
cubic_roots
- Roots of Cubic Polynomials
cubic_root_condition_number
- Roots of Cubic Polynomials
cylindrical
cylindrospherical
- Quaternion Creation Functions
- Synopsis
cyl_bessel_i
cyl_bessel_if
cyl_bessel_il
cyl_bessel_i_prime
- Derivatives of the Bessel Functions
- Error rates for cyl_bessel_i_prime (integer orders)
cyl_bessel_j
cyl_bessel_jl
cyl_bessel_j_prime
- Derivatives of the Bessel Functions
- Error rates for cyl_bessel_j_prime (integer orders)
cyl_bessel_j_zero
- Finding Zeros of Bessel Functions of the First and Second Kinds
cyl_bessel_k
cyl_bessel_kf
cyl_bessel_kl
cyl_bessel_k_prime
- Derivatives of the Bessel Functions
- Error rates for cyl_bessel_k_prime (integer orders)
cyl_hankel_1
- Cyclic Hankel Functions
cyl_hankel_2
- Cyclic Hankel Functions
cyl_neumann
cyl_neumannl
cyl_neumann_prime
- Derivatives of the Bessel Functions
- Error rates for cyl_neumann_prime (integer orders)
cyl_neumann_zero
- Finding Zeros of Bessel Functions of the First and Second Kinds

D

E

edit_control_point
- Bezier Polynomials
ellint_1
ellint_1f
ellint_1l
ellint_2
ellint_2f
ellint_2l
ellint_3
ellint_3f
ellint_3l
ellint_d
- Elliptic Integral D - Legendre Form
- Error rates for ellint_d (complete)
ellint_rc
- Elliptic Integrals - Carlson Form
ellint_rd
- Elliptic Integrals - Carlson Form
ellint_rf
- Elliptic Integrals - Carlson Form
ellint_rg
- Elliptic Integrals - Carlson Form
ellint_rj
- Elliptic Integrals - Carlson Form
entropy
- Non-Member Properties
envelope_color
- ULPs Plots
epsilon
- Locating Function Minima using Brent's algorithm
epsilon_difference
- Floating-point Comparison
erf
erfc
erfcf
erfcl
erfc_inv
- Error Function Inverses
erff
erfl
erf_inv
- Calling User Defined Error Handlers
- Error Function Inverses
eta
- sinh_sinh
evaluate_even_polynomial
- Polynomial and Rational Function Evaluation
evaluate_odd_polynomial
- Polynomial and Rational Function Evaluation
evaluate_polynomial
- Polynomial and Rational Function Evaluation
evaluate_polynomial_estrin
- Estrin's method for polynomial evaluation
evaluate_rational
- Polynomial and Rational Function Evaluation
evaluation_condition_number
- Condition Numbers
excess_kurtosis
- Univariate Statistics
exp2
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
exp2f
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
exp2l
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
expint
expintf
expintl
expint_as_fraction
- Continued Fraction Evaluation
expm1
expm1f
expm1l
extended_kindlmann
- Color Maps

F

factorial
factors
- Hypergeometric p F q
falling_factorial
fdim
fdimf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
fdiml
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
fibonacci
- Fibonacci Numbers
find_alpha
- Beta Distribution
find_degrees_of_freedom
find_location
- Distribution Algorithms
find_lower_bound_on_p
find_non_centrality
- Noncentral Chi-Squared Distribution
find_scale
- Distribution Algorithms
find_upper_bound_on_p
finite_difference_derivative
- Numerical Differentiation
first_four_moments
- Univariate Statistics
float
- Lambert W function
float_advance
- Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance
float_distance
float_next
- Finding the Next Greater Representable Value (float_next)
float_prior
- Finding the Next Smaller Representable Value (float_prior)
fma
fmaf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
fmal
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
fmax
fmaxf
fmaxl
fmin
fminf
fminl
font_color
- ULPs Plots
for
- Lambert W function
forward_cardinal_b_spline
- Cardinal B-splines
fpclassify
- Constexpr CMath
- Floating-Point Classification: Infinities and NaNs
freedom
function
functions
fvar
- Automatic Differentiation

G

G
- Kolmogorov-Smirnov Distribution
- Owen's T function
gamma_p
- Incomplete Gamma Function Inverses
- Incomplete Gamma Functions
gamma_p_derivative
- Derivative of the Incomplete Gamma Function
gamma_p_inv
- Chi Squared Distribution
- Incomplete Gamma Function Inverses
gamma_p_inva
- Incomplete Gamma Function Inverses
gamma_q
- Incomplete Gamma Functions
gamma_q_inv
- Chi Squared Distribution
- Incomplete Gamma Function Inverses
gamma_q_inva
- Incomplete Gamma Function Inverses
gegenbauer
- Gegenbauer Polynomials
gegenbauer_derivative
- Gegenbauer Polynomials
gegenbauer_prime
- Gegenbauer Polynomials
get
- Defining New Constants
- Use With User-Defined Types
get_epsilon
- Lambert W function
get_from_string
- Defining New Constants
gini_coefficient
- Univariate Statistics

H

halley_iterate
- Root Finding With Derivatives: Newton-Raphson, Halley & Schröder
hamming_distance
- Norms
hazard
- Non-Member Properties
hermite
hermitef
hermitel
hermite_next
- Hermite Polynomials
heuman_lambda
- Heuman Lambda Function
horizontal_lines
- ULPs Plots
hoyer_sparsity
- Signal Statistics
hyperexponential_distribution
hyperg
hypergeometric_0F1
- Hypergeometric 0 F 1
hypergeometric_1F0
- Hypergeometric 1 F 0
hypergeometric_1F1
- Hypergeometric 1 F 1
hypergeometric_1F1_regularized
- Hypergeometric 1 F 1
hypergeometric_2F0
- Hypergeometric 2 F 0
hypergeometric_pFq
- Hypergeometric p F q
hypergeometric_pFq_precision
- Hypergeometric p F q
hypergf
hypergl
hypot
hypotf
hypotl

I

i
- Overview
- sinh_sinh
ibeta
- Beta Distribution
- Incomplete Beta Functions
ibetac
ibetac_inv
ibetac_inva
- Negative Binomial Distribution
- The Incomplete Beta Function Inverses
ibetac_invb
- Negative Binomial Distribution
- The Incomplete Beta Function Inverses
ibeta_derivative
ibeta_inv
ibeta_inva
ibeta_invb
ilogb
ilogbf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
ilogbl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
inferno
- Color Maps
infinity
integrate
interquartile_range
- Univariate Statistics
interval
- Binomial Distribution
- Lambert W function
inverse
- Error rates for gamma_p_inv
- Error rates for gamma_q_inv
iround
- Conceptual Requirements for Real Number Types
- Rounding Functions
isfinite
- Constexpr CMath
- Floating-Point Classification: Infinities and NaNs
isgreater
- Constexpr CMath
isgreaterequal
- Constexpr CMath
isinf
- Constexpr CMath
- Floating-Point Classification: Infinities and NaNs
isless
- Constexpr CMath
islessequal
- Constexpr CMath
isnan
- Constexpr CMath
- Floating-Point Classification: Infinities and NaNs
isnormal
- Constexpr CMath
- Floating-Point Classification: Infinities and NaNs
isunordered
- Constexpr CMath
itrunc
- Conceptual Requirements for Real Number Types
- Truncation Functions

J

J
jacobi
- Jacobi Polynomials
jacobi_cd
- Jacobi Elliptic Function cd
jacobi_cn
- Jacobi Elliptic Function cn
jacobi_cs
- Jacobi Elliptic Function cs
jacobi_dc
- Jacobi Elliptic Function dc
jacobi_derivative
- Jacobi Polynomials
jacobi_dn
- Jacobi Elliptic Function dn
jacobi_double_prime
- Jacobi Polynomials
jacobi_ds
- Jacobi Elliptic Function ds
jacobi_elliptic
- Jacobi Elliptic SN, CN and DN
jacobi_nc
- Jacobi Elliptic Function nc
jacobi_nd
- Jacobi Elliptic Function nd
jacobi_ns
- Jacobi Elliptic Function ns
jacobi_prime
- Jacobi Polynomials
jacobi_sc
- Jacobi Elliptic Function sc
jacobi_sd
- Jacobi Elliptic Function sd
jacobi_sn
- Jacobi Elliptic Function sn
jacobi_theta1
- Jacobi Theta Function θ 1
jacobi_theta1tau
- Jacobi Theta Function θ 1
jacobi_theta2
- Jacobi Theta Function θ 2
jacobi_theta2tau
- Jacobi Theta Function θ 2
jacobi_theta3
- Jacobi Theta Function θ 3
jacobi_theta3m1
- Jacobi Theta Function θ 3
jacobi_theta3m1tau
- Jacobi Theta Function θ 3
jacobi_theta3tau
- Jacobi Theta Function θ 3
jacobi_theta4
- Jacobi Theta Function θ 4
jacobi_theta4m1
- Jacobi Theta Function θ 4
jacobi_theta4m1tau
- Jacobi Theta Function θ 4
jacobi_theta4tau
- Jacobi Theta Function θ 4
jacobi_zeta
- Jacobi Zeta Function

K

k
kahan_sum_series
- Series Evaluation
kindlmann
- Color Maps
kurtosis
- Non-Member Properties
- Univariate Statistics
kurtosis_excess
- Inverse Gamma Distribution
- Non-Member Properties

L

l
- Legendre (and Associated) Polynomials
l0_pseudo_norm
- Norms
l1
l1_distance
- Norms
l1_norm
- Condition Numbers
- Norms
l2_distance
- Norms
l2_norm
- Norms
laguerre
laguerref
laguerrel
laguerre_next
- Laguerre (and Associated) Polynomials
lambert_w0
- Lambert W function
lambert_w0_prime
- Lambert W function
lambert_wm1
- Lambert W function
lambert_wm1_prime
- Lambert W function
ldexp
- Conceptual Requirements for Real Number Types
- Constexpr CMath
legendre
legendref
legendrel
legendre_next
- Legendre (and Associated) Polynomials
legendre_p
legendre_p_prime
- Legendre (and Associated) Polynomials
legendre_p_zeros
- Legendre (and Associated) Polynomials
legendre_q
- Legendre (and Associated) Polynomials
lgamma
lgammaf
lgammal
ljung_box
- The Ljung-Box Test
llrint
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
llrintf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
llrintl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
llround
llroundf
llroundl
lltrunc
- Truncation Functions
location
log1p
log1pf
log1pl
log2
log2f
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
log2l
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
logaddexp
- logaddexp and logsumexp
logb
logbf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
logbl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
logsumexp
- logaddexp and logsumexp
log_hypergeometric_1F1
- Hypergeometric 1 F 1
lookup
- Automatic Differentiation
- Bernoulli Numbers
lp_distance
- Norms
lp_norm
- Norms
lrint
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
lrintf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
lrintl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
lround
lroundf
lroundl
ltrunc
- Truncation Functions

M

m
- Spherical Harmonics
m2m4_snr_estimator
- Signal Statistics
m2m4_snr_estimator_db
- Signal Statistics
make_ftuple
- Automatic Differentiation
make_fvar
- Automatic Differentiation
mean
means_and_covariance
- Bivariate Statistics
mean_and_sample_variance
- Univariate Statistics
median
median_absolute_deviation
- Univariate Statistics
message
- Bernoulli Numbers
min
- Students t Distribution
mode
msg
- Calling User Defined Error Handlers
multipolar

N

n
nan
nanf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
nanl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
nan_color
- ULPs Plots
nearbyint
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
nearbyintf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
nearbyintl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
newton_raphson_iterate
- Root Finding With Derivatives: Newton-Raphson, Halley & Schröder
nextafter
nextafterf
nextafterl
nexttoward
nexttowardf
nexttowardl
nonfinite_num_get
- Facets for Floating-Point Infinities and NaNs
nonfinite_num_put
- Facets for Floating-Point Infinities and NaNs
norm
normalize
- Hypergeometric 1 F 1
not

O

P

Q

R

S

sample_absolute_gini_coefficient
- Signal Statistics
sample_gini_coefficient
- Univariate Statistics
sample_variance
- Univariate Statistics
scalbln
scalblnf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
scalblnl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
scalbn
scalbnf
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
scalbnl
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
scale
schroder_iterate
- Root Finding With Derivatives: Newton-Raphson, Halley & Schröder
semipolar
- Quaternion Creation Functions
- Synopsis
series
- Incomplete Gamma Functions
- Owen's T function
set
- Fibonacci Numbers
- Reference
set_zero
- Polynomials
shape
sign
- Sign Manipulation Functions
signbit
- Constexpr CMath
- Sign Manipulation Functions
sinc_pi
sinhc_pi
sin_pi
size
skewness
small
smooth_cool_warm
- Color Maps
spherical
spherical_harmonic
- Spherical Harmonics
spherical_harmonic_i
- Spherical Harmonics
spherical_harmonic_r
- Spherical Harmonics
sph_bessel
sph_bessell
sph_bessel_prime
- Derivatives of the Bessel Functions
sph_hankel_1
- Spherical Hankel Functions
sph_hankel_2
- Spherical Hankel Functions
sph_legendre
sph_legendref
sph_legendrel
sph_neumann
sph_neumannl
sph_neumann_prime
- Derivatives of the Bessel Functions
- History and What's New
sqrt1pm1
standard_deviation
step
- Lambert W function
subtraction
- Digamma
sum
- Condition Numbers
sum_series
- Series Evaluation
sup
support
sup_distance
- Norms
sup_norm
- Norms

T

t
tangent_t2n
- Tangent Numbers
term
- The Lanczos Approximation
terms
- Noncentral T Distribution
test
tgamma
tgamma1pm1
- Error rates for tgamma1pm1
- Gamma
tgammaf
tgammal
tgamma_delta_ratio
- History and What's New
- Ratios of Gamma Functions
tgamma_lower
- Incomplete Gamma Functions
tgamma_ratio
- Ratios of Gamma Functions
title
- ULPs Plots
tol
toms748_solve
- Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions
- Root Finding Without Derivatives
total_variation
- Norms
to_8bit_rgba
- Color Maps
trapezoidal
- Trapezoidal Quadrature
trigamma
trunc
truncf
truncl
typeid
- Testing

U

u
- t -tests
- z -tests
ulp
- Obtaining the Size of a Unit In the Last Place - ULP
ulp_envelope
- ULPs Plots
unchecked_bernoulli_b2n
- Bernoulli Numbers
unchecked_factorial
- Factorial
unchecked_fibonacci
- Fibonacci Numbers
unreal
update_target_error
- Naive Monte Carlo Integration
user_denorm_error
- Calling User Defined Error Handlers
- Error Handling Policies
user_domain_error
- Calling User Defined Error Handlers
- Error Handling Policies
user_evaluation_error
- Calling User Defined Error Handlers
user_indeterminate_result_error
- Calling User Defined Error Handlers
- Error Handling Policies
user_overflow_error
user_pole_error
- Calling User Defined Error Handlers
- Error Handling Policies
user_rounding_error
- Calling User Defined Error Handlers
- Error Handling Policies
user_underflow_error
- Calling User Defined Error Handlers
- Error Handling Policies

V

W

W
- Lambert W function
weights
- Gauss-Kronrod Quadrature
- Gauss-Legendre quadrature
width
- ULPs Plots

X

x

Y

y

Z

_

__has_include
- Standalone Usage

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)