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package.lisp
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;;; -*- Mode: LISP; Base: 10; Syntax: ANSI-Common-Lisp; Package: CL-USER -*-
;;; Copyright (c) 2019-2021 Symbolics Pte. Ltd. All rights reserved.
(uiop:define-package :cephes
(:use :cl)
(:export #:airy ;Airy function
#:bdtr ;Binomial distribution
#:bdtrc ;Complement of binomial distribution
#:bdtri ;Inverse binomial distribution
#:besselpoly ;Weighted integral of the Bessel function of the first kind
#:beta ;Beta function
#:lbeta ;Natural log of |beta|
#:btdtr ;incomplete beta integral
#:cbrt ;cube root
#:chdtr ;Chi-square distribution
#:chdtrc ;Complemented Chi-square distribution
#:chdtri ;Inverse of complemented Chi-square distribution
#:dawsn ;Dawson's Integral
#:ellik ;Incomplete elliptic integral of the first kind
#:ellie ;Incomplete elliptic integral of the second kind
#:ellpk ;Complete elliptic integral of the first kind
#:ellpe ;Complete elliptic integral of the second kind
#:jacobian-elliptic ;jacobian Elliptic Functions
#:exp2 ;Base 2 exponential function
#:exp10 ;Base 10 exponential function (Common antilogarithm)
#:expn ;Exponential integral
#:fdtr ;F distribution
#:fdtrc ;Complemented F distribution
#:fdtri ;Inverse of F distribution
#:fresnl ;Fresnel integral
#:gamma ;Gamma function
#:log-gamma ;Natural logarithm of Gamma function
#:gdtr ;Gamma distribution function
#:gdtrc ;Complemented Gamma distribution function
#:gdtri ;Inverse Gamma distribution function (?) - not documented in src
#:hyp2f1 ;Gauss hypergeometric function
#:hyperg ;Confluent hypergeometric function
#:i0 ;Modified Bessel function of order zero
#:i0e ;Modified Bessel function of order zero, exponentially scaled
#:i1 ;Modified Bessel function of order one
#:i1e ;Modified Bessel function of order one, exponentially scaled
#:igam ;Regularized lower incomplete gamma function
#:igamc ;Regularized upper incomplete gamma function
#:igami ;Inverse of the lower incomplete gamma function
#:igamci ;Inverse of the upper incomplete gamma function
#:incbet ;Incomplete beta integral
#:incbi ;Inverse of incomplete beta integral
#:iv ;Modified Bessel function of noninteger order
#:j0 ;Bessel function of order zero
#:y0 ;Bessel function of the second kind, order zero
#:j1 ;Bessel function of order one
#:y1 ;Bessel function of second kind of order one
#:jv ;Bessel function of noninteger order
#:k0 ;Modified Bessel function, third kind, order zero
#:k0e ;Modified Bessel function, third kind, order zero, exponentially scaled
#:k1 ;Modified Bessel function of the third kind of order one
#:k1e ;Modified Bessel function of the third kind of order one, exponentially scaled
#:kn ;Modified Bessel function, third kind, integer order
#:nbdtr ;Negative binomial distribution
#:nbdtrc ;Complemented negative binomial distribution
#:nbdtri ;Inverse complemented negative binomial distribution
#:ndtr ;Normal distribution function
#:log-ndtr ;Log of the normal distribution function
#:erf ;Error function
#:erfc ;Complementary error function
#:erfinv ;Inverse of the error function
#:erfcinv ;Inverse of the complementary error function
#:ndtri ;Inverse of Normal distribution function
#:pdtr ;Poisson distribution
#:pdtrc ;Complemented poisson distribution
#:pdtri ;Inverse Poisson distribution
#:poch ;Pochhammer symbol (a)_m = gamma(a + m) / gamma(a)
#:psi ;Psi (digamma) function
#:rgamma ;Reciprocal Gamma function
#:shichi ;Hyperbolic sine and cosine integrals
#:sici ;Sine and cosine integrals
#:sindg ;Circular sine of angle in degrees
#:cosdg ;Circular cosine of angle in degrees
#:sinpi ;Compute sin(pi * x)
#:cospi ;Compute cos(pi * x)
#:spence ;Dilogarithm
#:stdtr ;Student's t distribution
#:stdtri ;Functional inverse of Student's t distribution
#:yv ;Bessel function of noninteger order
#:tandg ;Circular tangent of angle in degrees
#:cotdg ;Circular cotangent of argument in degrees
#:log1p ;log(1 + x)
#:log1pmx ;log(1 + x) - x
#:expm1 ;exp(x) - 1
#:cosm1 ;cos(x) - 1;
#:lgam1p ;lgam(x + 1)
#:yn ;Bessel function of second kind of integer order
#:zeta ;Riemann zeta function of two arguments
#:zetac ;Riemann zeta function
#:owens-t ;Owen's T-Function
#:lanczos-sum
#:lanczos-sum-scaled
#:lanczos-sum-near-1
#:lanczos-sum-near-2))