Crate xsf
Source - airy
- Airy functions and their derivatives.
- airyb
- Airy functions and their derivatives.
- airye
- Exponentially scaled Airy functions and their derivatives.
- airyzo
- Zeros of Airy functions and their associated values.
- assoc_legendre_p
- Associated Legendre polynomial of the 1st kind
- assoc_legendre_p_all
- All associated Legendre polynomials of the 1st kind
- assoc_legendre_p_norm
- Normalized associated Legendre polynomial of the 1st kind
- assoc_legendre_p_norm_all
- All normalized associated Legendre polynomials of the 1st kind
- assoc_legendre_q_all
- All associated Legendre polynomials of the 2nd kind and their derivatives
- bdtr
- Binomial distribution function
- bdtrc
- Binomial survival function
- bdtri
- Binomial quantile function
- bei
- Kelvin function
bei - bei_zeros
- First
nt zeros of Kelvin function bei - beip
- Derivative of the Kelvin function
bei - beip_zeros
- First
nt zeros of Kelvin function derivative beip - ber
- Kelvin function
ber - ber_zeros
- First
nt zeros of Kelvin function ber - berp
- Derivative of the Kelvin function
ber - berp_zeros
- First
nt zeros of Kelvin function derivative berp - besselpoly
- Weighted integral of the Bessel function of the first kind
- beta
- Beta function
- betaln
- Natural log of
|beta| - binom
- Binomial coefficient
- cbrt
- Cube root
- cem
- Even Mathieu function and its derivative
- cem_cva
- Characteristic value of even Mathieu functions
- cevalpoly
- Evaluate polynomials
- chdtr
- Chi-squared distribution function
- chdtrc
- Chi-squared survival function
- chdtri
- Chi-squared quantile function
- cosdg
- Circular cosine of angle in degrees
- cosm1
- Compute
cos(x) - 1 - cospi
- Compute
cos(pi*z) for real or complex z - cotdg
- Circular cotangent of argument in degrees
- cyl_bessel_i
- Modified Bessel function, 1st kind
- cyl_bessel_i0
- Modified Bessel function, 1st kind, order 0
- cyl_bessel_i0e
- Exponentially scaled modified Bessel function, 1st kind, order 0
- cyl_bessel_i1
- Modified Bessel function, 1st kind, order 1
- cyl_bessel_i1e
- Exponentially scaled modified Bessel function, 1st kind, order 1
- cyl_bessel_ie
- Exponentially scaled modified Bessel function, 1st kind
- cyl_bessel_j
- Bessel function, 1st kind
- cyl_bessel_j0
- Bessel function, 1st kind, order 0
- cyl_bessel_j1
- Bessel function, 1st kind, order 1
- cyl_bessel_je
- Exponentially scaled Bessel function, 1st kind
- cyl_bessel_k
- Modified Bessel function, 2nd kind
- cyl_bessel_k0
- Modified Bessel function, 2nd kind, order 0
- cyl_bessel_k0e
- Exponentially scaled modified Bessel function, 2nd kind, order 0
- cyl_bessel_k1
- Modified Bessel function, 2nd kind, order 1
- cyl_bessel_k1e
- Exponentially scaled modified Bessel function, 2nd kind, order 1
- cyl_bessel_ke
- Exponentially scaled modified Bessel function, 2nd kind
- cyl_bessel_y
- Bessel function, 2nd kind
- cyl_bessel_y0
- Bessel function, 2nd kind, order 0
- cyl_bessel_y1
- Bessel function, 2nd kind, order 1
- cyl_bessel_ye
- Exponentially scaled Bessel function, 2nd kind
- cyl_hankel_1
- Hankel function, 1st kind
- cyl_hankel_2
- Hankel function, 2nd kind
- cyl_hankel_1e
- Exponentially scaled Hankel function, 1st kind
- cyl_hankel_2e
- Exponentially scaled Hankel function, 2nd kind
- dawsn
- Dawson function
sqrt(pi)/2 * exp(-z^2) * erfi(z) for real or complex input - digamma
- Digamma function for real or complex input
- ellipe
- Complete elliptic integral of the second kind
- ellipeinc
- Incomplete elliptic integral of the second kind
- ellipj
- Jacobian elliptic functions
- ellipk
- Complete elliptic integral of the first kind
- ellipkinc
- Incomplete elliptic integral of the first kind
- ellipkm1
- Complete elliptic integral of the first kind around
m = 1 - erf
- Error function
erf(z) for real or complex input - erfc
- Complementary error function
1 - erf(z) for real or complex input - erfcx
- Scaled complementary error function
exp(z^2) * erfc(z) for real or complex input - erfi
- Imaginary error function
-i erf(i z) for real or complex input - exp1
- Exponential integral
E_i(x) for real or complex input - exp2
2^x- exp10
10^x- expi
- Exponential integral
E_i(x) for real or complex input - expit
- Expit function,
1/(1 + exp(-x)) - expm1
exp(x) - 1 for real or complex input- exprel
- Relative error exponential,
(exp(x) - 1)/x - extended_absolute_error
- Extended absolute error metric between two
f64 or Complex<f64> values - extended_relative_error
- Extended relative error metric between two
f64 or Complex<f64> values - fdtr
- F distribution function
- fdtrc
- F survival function
- fdtri
- F quantile function
- fresnel
- Fresnel integrals S(z) and C(z) for real or complex argument
- fresnel_zeros
- Zeros of Fresnel integrals S(z) and C(z)
- gamma
- Gamma function for real or complex input
- gammainc
- Incomplete Gamma integral
- gammaincc
- Complemented incomplete Gamma integral
- gammainccinv
- Inverse of
gammaincc - gammaincinv
- Inverse of
gammainc - gammaln
- Natural logarithm of Gamma function
- gammasgn
- Sign of the Gamma function
- gdtr
- Gamma distribution function
- gdtrc
- Gamma survival function
- gdtrib
- Inverse of
p = gdtr(a, b, x) with respect to b - hyp1f1
- Confluent hypergeometric function
1F1(a; b; z) for real or complex z - hyp2f1
- Gauss hypergeometric function
2F1(a, b; c; z) for real or complex z - hypu
- Confluent hypergeometric function
U(a,b,x) for x > 0 - it1i0k0
- Integrals of modified Bessel functions of order 0
- it1j0y0
- Integrals of Bessel functions of order 0
- it2i0k0
- Integrals related to modified Bessel functions of order 0 up to
n - it2j0y0
- Integrals related to Bessel functions of the first kind of order 0
- it2struve0
- Integral related to the Struve function of order 0
- itairy
- Integrals of Airy functions
- itmodstruve0
- Integral of the modified Struve function of order 0
- itstruve0
- Integral of the Struve function of order 0
- iv_ratio
- Compute
iv(v,x)/iv(v-1,x) of the modified Bessel function of the first kind - iv_ratio_c
- Compute
iv(v,x)/iv(v-1,x) of the modified Bessel function of the first kind - kei
- Kelvin function
kei - kei_zeros
- First
nt zeros of Kelvin function kei - keip
- Derivative of the Kelvin function
kei - keip_zeros
- First
nt zeros of Kelvin function derivative keip - kelvin
- Kelvin functions as complex numbers
- kelvin_zeros
- First
nt zeros of all Kelvin functions and their derivatives - ker
- Kelvin function
ker - ker_zeros
- First
nt zeros of Kelvin function ker - kerp
- Derivative of the Kelvin function
ker - kerp_zeros
- First
nt zeros of Kelvin function derivative kerp - kolmogc
- Kolmogorov distribution function
- kolmogci
- Inverse of
kolmogc - kolmogi
- Inverse of
kolmogorov - kolmogorov
- Kolmogorov survival function
- kolmogp
- Derivative of
kolmogorov - lambertw
- Lambert W function.
- legendre_p
- Legendre polynomial of degree
n - legendre_p_all
- All Legendre polynomials of the 1st kind
- legendre_q_all
- All Legendre polynomials of the 2nd kind and their derivatives
- log1mexp
- Compute
log(1 - exp(x)) - log1p
log(z + 1) for real or complex input- log1pmx
- Compute
log(1 + x) - x for real input - log_expit
- Log of the expit function,
log(expit(x)) - log_ndtr
- Log of
ndtr(z) for real or complex z - log_wright_bessel
- Logarithm of
wright_bessel - loggamma
- Principal branch of the logarithm of
gamma(z) - logit
- Logit function,
log(x / (1 - x)) - mcm1
- Even modified Mathieu function of the first kind and its derivative
- mcm2
- Even modified Mathieu function of the second kind and its derivative
- modified_fresnel_minus
- Modified Fresnel negative integrals
- modified_fresnel_plus
- Modified Fresnel positive integrals
- msm1
- Odd modified Mathieu function of the first kind and its derivative
- msm2
- Odd modified Mathieu function of the second kind and its derivative
- nbdtr
- Negative binomial distribution function
- nbdtrc
- Negative binomial survival function
- nbdtri
- Negative binomial quantile function
- ndtr
- Normal distribution function
F(z) for real or complex z - ndtri
- Inverse of
ndtr - oblate_aswfa
- Oblate spheroidal angular function for precomputed characteristic value
- oblate_aswfa_nocv
- Oblate spheroidal angular function of the 1st kind and its derivative
- oblate_radial1
- Oblate spheroidal radial function of the 1st kind for precomputed characteristic value
- oblate_radial2
- Oblate spheroidal radial function of the 2nd kind for precomputed characteristic value
- oblate_radial1_nocv
- Oblate spheroidal radial function of the 1st kind and its derivative
- oblate_radial2_nocv
- Oblate spheroidal radial function of the second kind and its derivative
- oblate_segv
- Characteristic value of oblate spheroidal function
- owens_t
- Owen’s T function
- pbdv
- Parabolic cylinder function D
- pbvv
- Parabolic cylinder function V
- pbwa
- Parabolic cylinder function W
- pdtr
- Poisson distribution function
- pdtrc
- Poisson survival function
- pdtri
- Poisson quantile function
- pmv
- Associated Legendre function for
|x| ≤ 1 - prolate_aswfa
- Prolate spheroidal angular function for precomputed characteristic value
- prolate_aswfa_nocv
- Prolate spheroidal angular function of the 1st kind and its derivative
- prolate_radial1
- Prolate spheroidal radial function of the 1st kind for precomputed characteristic value
- prolate_radial2
- Prolate spheroidal radial function of the 2nd kind for precomputed characteristic value
- prolate_radial1_nocv
- Prolate spheroidal radial function of the 1st kind and its derivative
- prolate_radial2_nocv
- Prolate spheroidal radial function of the 2nd kind and its derivative
- prolate_segv
- Characteristic value of prolate spheroidal function
- radian
- Degrees, minutes, seconds to radians
- rctj
- Compute Ricatti-Bessel function of the 1st kind and their derivatives for up to
n - rcty
- Compute Ricatti-Bessel function of the 2nd kind and their derivatives for up to
n - rgamma
- Reciprocal Gamma function
1 / gamma(z) - riemann_zeta
- Riemann zeta function for real or complex input
- scaled_exp1
- Scaled version of the exponential integral
E_1(x) - sem
- Odd Mathieu function and its derivative
- sem_cva
- Characteristic value of odd Mathieu functions
- shichi
- Hyperbolic sine and cosine integrals.
- sici
- Sine and cosine integrals.
- sindg
- Circular sine of angle in degrees
- sinpi
- Compute
sin(pi*z) for real or complex z - smirnov
- Kolmogorov-Smirnov survival function
- smirnovc
- Kolmogorov-Smirnov distribution function
- smirnovci
- Inverse of
smirnovc - smirnovi
- Inverse of
smirnov - smirnovp
- Derivative of
smirnov - sph_bessel_i
- Modified spherical Bessel function of the first kind
- sph_bessel_i_jac
- Derivative of
sph_bessel_i w.r.t z - sph_bessel_j
- Spherical Bessel function of the first kind
- sph_bessel_j_jac
- Derivative of
sph_bessel_j w.r.t z - sph_bessel_k
- Modified spherical Bessel function of the second kind
- sph_bessel_k_jac
- Derivative of
sph_bessel_k w.r.t z - sph_bessel_y
- Spherical Bessel function of the second kind
- sph_bessel_y_jac
- Derivative of
sph_bessel_y w.r.t z - sph_harm_y
- Spherical harmonics
- sph_harm_y_all
- All spherical harmonics up to the specified degree
n and order m - sph_legendre_p
- Spherical Legendre polynomial of degree
n and order m - sph_legendre_p_all
- All spherical Legendre polynomials of the 1st kind
- struve_h
- Struve
H function - struve_l
- Struve
L function - tandg
- Circular tangent of argument in degrees
- tukeylambdacdf
- Tukey-Lambda distribution function
- voigt_profile
- Voigt profile
- wofz
- Faddeeva function
exp(-z^2) * erfc(-i z) - wright_bessel
- Wright’s generalized Bessel function
- xlog1py
- Compute
x * log(1 + y) for real or complex input - xlogy
- Compute
x * log(y) for real or complex input - zeta
- Riemann zeta function of two arguments for real or complex
z - zetac
- Riemann zeta function, minus one