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

abscissa
absolute_gini_coefficient
- Signal Statistics
acosh
acoshf
acoshl
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
atanh
atanhf
atanhl

B

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
bool
- Polynomials
BOOST_FLOAT128_C
- Greatest-width floating-point typedef
bracket_and_solve_root
branch
- Lambert W function
- Other Hints and tips
brent_find_minima
- Locating Function Minima using Brent's algorithm
by

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
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
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
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

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
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_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
e_float
- Using e_float Library

F

factorial
factors
- Hypergeometric p F q
falling_factorial
fdim
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
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
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
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
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
forward_cardinal_b_spline
- Cardinal B-splines
fpclassify
- Floating-Point Classification: Infinities and NaNs
freedom
function
functions
fvar
- Automatic Differentiation

G

G
- 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
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
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
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
infinity
integrate
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
- Floating-Point Classification: Infinities and NaNs
isinf
- Floating-Point Classification: Infinities and NaNs
isnan
- Floating-Point Classification: Infinities and NaNs
isnormal
- Floating-Point Classification: Infinities and NaNs
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_zeta
- Jacobi Zeta Function

K

k
kahan_sum_series
- Series Evaluation
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
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
logb
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
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
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
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
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
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
- C99 and C++ TR1 C-style Functions
- C99 and TR1 C Functions Overview
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_zero
- Polynomials
shape
sign
- Sign Manipulation Functions
signbit
- Sign Manipulation Functions
sinc_pi
sinhc_pi
sin_pi
size
skewness
small
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_series
- Series Evaluation
sup
support
- Additional Implementation Notes
- Non-Member Properties
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
tol
toms748_solve
- Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions
- Root Finding Without Derivatives
total_variation
- Norms
trapezoidal
- Trapezoidal Quadrature
trigamma
trunc
truncf
truncl
typeid
- Testing

U

ulp
- Obtaining the Size of a Unit In the Last Place - ULP
unchecked_bernoulli_b2n
- Bernoulli Numbers
unchecked_factorial
- Factorial
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
- Error Handling Policies
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

X

x

Y

y

Z