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/* This is MODIFIED version of R's Mathlib */
/* -*- C -*-
* Mathlib : A C Library of Special Functions
* Copyright (C) 1998-2003 The R Development Core Team
* Copyright (C) 2004 The R Foundation
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation; either version 2.1 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*
* Rmath.h should contain ALL headers from R's C code in `src/nmath'
------- such that ``the Math library'' can be used by simply
``#include <Rmath.h> ''
and nothing else.
*/
#ifndef RMATH_H
#define RMATH_H
#ifdef __cplusplus
namespace jags {
class RNG;
}
typedef jags::RNG JRNG;
extern "C" {
#else
typedef struct JRNG JRNG;
#endif
/*-- Mathlib as part of R -- define this for standalone : */
/* #undef MATHLIB_STANDALONE */
#define R_VERSION_STRING "2.3.0"
#ifndef HAVE_LOG1P
# define HAVE_LOG1P 1
#endif
#ifndef HAVE_EXPM1
# define HAVE_EXPM1 1
#endif
#ifndef HAVE_WORKING_LOG1P
# define HAVE_WORKING_LOG1P 1
#endif
#ifndef HAVE_WORKING_LOG
# define HAVE_WORKING_LOG 1
#endif
#include <errno.h>
#include <limits.h>
#include <float.h>
#include <math.h>
#if defined(HAVE_LOG1P) && !defined(HAVE_WORKING_LOG1P)
/* remap to avoid problems with getting the right entry point */
double Rlog1p(double);
#define log1p Rlog1p
#endif
#include <stdlib.h>
/* Undo SGI Madness */
#ifdef ftrunc
# undef ftrunc
#endif
#ifdef qexp
# undef qexp
#endif
#ifdef qgamma
# undef qgamma
#endif
/* ----- The following constants and entry points are part of the R API ---- */
/* 30 Decimal-place constants */
/* Computed with bc -l (scale=32; proper round) */
/* SVID & X/Open Constants */
/* Names from Solaris math.h */
#ifndef M_E
#define M_E 2.718281828459045235360287471353 /* e */
#endif
#ifndef M_LOG2E
#define M_LOG2E 1.442695040888963407359924681002 /* log2(e) */
#endif
#ifndef M_LOG10E
#define M_LOG10E 0.434294481903251827651128918917 /* log10(e) */
#endif
#ifndef M_LN2
#define M_LN2 0.693147180559945309417232121458 /* ln(2) */
#endif
#ifndef M_LN10
#define M_LN10 2.302585092994045684017991454684 /* ln(10) */
#endif
#ifndef M_PI
#define M_PI 3.141592653589793238462643383280 /* pi */
#endif
#ifndef M_2PI
#define M_2PI 6.283185307179586476925286766559 /* 2*pi */
#endif
#ifndef M_PI_2
#define M_PI_2 1.570796326794896619231321691640 /* pi/2 */
#endif
#ifndef M_PI_4
#define M_PI_4 0.785398163397448309615660845820 /* pi/4 */
#endif
#ifndef M_1_PI
#define M_1_PI 0.318309886183790671537767526745 /* 1/pi */
#endif
#ifndef M_2_PI
#define M_2_PI 0.636619772367581343075535053490 /* 2/pi */
#endif
#ifndef M_2_SQRTPI
#define M_2_SQRTPI 1.128379167095512573896158903122 /* 2/sqrt(pi) */
#endif
#ifndef M_SQRT2
#define M_SQRT2 1.414213562373095048801688724210 /* sqrt(2) */
#endif
#ifndef M_SQRT1_2
#define M_SQRT1_2 0.707106781186547524400844362105 /* 1/sqrt(2) */
#endif
/* R-Specific Constants */
#ifndef M_SQRT_3
#define M_SQRT_3 1.732050807568877293527446341506 /* sqrt(3) */
#endif
#ifndef M_SQRT_32
#define M_SQRT_32 5.656854249492380195206754896838 /* sqrt(32) */
#endif
#ifndef M_LOG10_2
#define M_LOG10_2 0.301029995663981195213738894724 /* log10(2) */
#endif
#ifndef M_SQRT_PI
#define M_SQRT_PI 1.772453850905516027298167483341 /* sqrt(pi) */
#endif
#ifndef M_1_SQRT_2PI
#define M_1_SQRT_2PI 0.398942280401432677939946059934 /* 1/sqrt(2pi) */
#endif
#ifndef M_SQRT_2dPI
#define M_SQRT_2dPI 0.797884560802865355879892119869 /* sqrt(2/pi) */
#endif
#ifndef M_LN_SQRT_PI
#define M_LN_SQRT_PI 0.572364942924700087071713675677 /* log(sqrt(pi)) */
#endif
#ifndef M_LN_SQRT_2PI
#define M_LN_SQRT_2PI 0.918938533204672741780329736406 /* log(sqrt(2*pi)) */
#endif
#ifndef M_LN_SQRT_PId2
#define M_LN_SQRT_PId2 0.225791352644727432363097614947 /* log(sqrt(pi/2)) */
#endif
#undef FALSE
#undef TRUE
typedef enum { FALSE = 0, TRUE } Rboolean;
#define bessel_i jags_bessel_i
#define bessel_j jags_bessel_j
#define bessel_k jags_bessel_k
#define bessel_y jags_bessel_y
#define beta jags_beta
#define choose jags_choose
#define dbeta jags_dbeta
#define dbinom jags_dbinom
#define dcauchy jags_dcauchy
#define dchisq jags_dchisq
#define dexp jags_dexp
#define dF jags_dF
#define dgamma jags_dgamma
#define dgeom jags_dgeom
#define dhyper jags_dhyper
#define digamma jags_digamma
#define dlnorm jags_dlnorm
#define dlogis jags_dlogis
#define dnbeta jags_dnbeta
#define dnbinom jags_dnbinom
#define dnbinom_mu jags_dnbinom_mu
#define dnchisq jags_dnchisq
#define dnf jags_dnf
#define dnorm4 jags_dnorm4
#define dnt jags_dnt
#define dpois jags_dpois
#define dpsifn jags_dpsifn
#define dsignrank jags_dsignrank
#define dt jags_dt
#define dtukey jags_dtukey
#define dunif jags_dunif
#define dweibull jags_dweibull
#define dwilcox jags_dwilcox
#define fmax2 jags_fmax2
#define fmin2 jags_fmin2
#define fprec jags_fprec
#define fround jags_fround
#define ftrunc jags_ftrunc
#define fsign jags_fsign
#define gammafn jags_gammafn
#define imax2 jags_imax2
#define imin2 jags_imin2
#define lbeta jags_lbeta
#define lchoose jags_lchoose
#define lgammafn jags_lgammafn
#define lgammafn_sign jags_lgammafn_sign
#define lgamma1p jags_lgamma1p
#define log1pmx jags_log1pmx
#define logspace_add jags_logspace_add
#define logspace_sub jags_logspace_sub
#define pbeta jags_pbeta
#define pbeta_raw jags_pbeta_raw
#define pbinom jags_pbinom
#define pcauchy jags_pcauchy
#define pchisq jags_pchisq
#define pentagamma jags_pentagamma
#define pexp jags_pexp
#define pF jags_pF
#define pgamma jags_pgamma
#define pgeom jags_pgeom
#define phyper jags_phyper
#define plnorm jags_plnorm
#define plogis jags_plogis
#define pnbeta jags_pnbeta
#define pnbinom jags_pnbinom
#define pnbinom_mu jags_pnbinom_mu
#define pnchisq jags_pnchisq
#define pnf jags_pnf
#define pnorm5 jags_pnorm5
#define pnorm_both jags_pnorm_both
#define pnt jags_pnt
#define ppois jags_ppois
#define psignrank jags_psignrank
#define psigamma jags_psigamma
#define pt jags_pt
#define ptukey jags_ptukey
#define punif jags_punif
#define pythag jags_pythag
#define pweibull jags_pweibull
#define pwilcox jags_pwilcox
#define qbeta jags_qbeta
#define qbinom jags_qbinom
#define qcauchy jags_qcauchy
#define qchisq jags_qchisq
#define qchisq_appr jags_qchisq_appr
#define qexp jags_qexp
#define qF jags_qF
#define qgamma jags_qgamma
#define qgeom jags_qgeom
#define qhyper jags_qhyper
#define qlnorm jags_qlnorm
#define qlogis jags_qlogis
#define qnbeta jags_qnbeta
#define qnbinom jags_qnbinom
#define qnbinom_mu jags_qnbinom_mu
#define qnchisq jags_qnchisq
#define qnf jags_qnf
#define qnorm5 jags_qnorm5
#define qnt jags_qnt
#define qpois jags_qpois
#define qsignrank jags_qsignrank
#define qt jags_qt
#define qtukey jags_qtukey
#define qunif jags_qunif
#define qweibull jags_qweibull
#define qwilcox jags_qwilcox
#define rbeta jags_rbeta
#define rbinom jags_rbinom
#define rcauchy jags_rcauchy
#define rchisq jags_rchisq
#define rexp jags_rexp
#define rF jags_rF
#define rgamma jags_rgamma
#define rgeom jags_rgeom
#define rhyper jags_rhyper
#define rlnorm jags_rlnorm
#define rlogis jags_rlogis
#define rnbeta jags_rnbeta
#define rnbinom jags_rnbinom
#define rnbinom_mu jags_rnbinom_mu
#define rnchisq jags_rnchisq
#define rnf jags_rnf
#define rnorm jags_rnorm
#define rnt jags_rnt
#define rpois jags_rpois
#define rsignrank jags_rsignrank
#define rt jags_rt
#define rtukey jags_rtukey
#define runif jags_runif
#define rweibull jags_rweibull
#define rwilcox jags_rwilcox
#define sign jags_sign
#define tetragamma jags_tetragamma
#define trigamma jags_trigamma
#define rround fround
#define prec fprec
#undef trunc
#define trunc ftrunc
/* log(1 - exp(x)) in stable form: */
#define R_Log1_Exp(x) ((x) > -M_LN2 ? log(-expm1(x)) : log1p(-exp(x)))
/* R's versions with !R_FINITE checks */
#if defined(HAVE_WORKING_LOG)
#define JR_log log
#else
double JR_log(double x);
#endif
double JR_pow(double x, double y);
double JR_pow_di(double, int);
/* Random Number Generators */
double norm_rand(JRNG*);
double unif_rand(JRNG*);
double exp_rand(JRNG*);
/* Normal Distribution */
#define pnorm pnorm5
#define qnorm qnorm5
#define dnorm dnorm4
double dnorm(double, double, double, int);
double pnorm(double, double, double, int, int);
double qnorm(double, double, double, int, int);
double rnorm(double, double, JRNG*);
void pnorm_both(double, double *, double *, int, int);/* both tails */
/* Uniform Distribution */
double dunif(double, double, double, int);
double punif(double, double, double, int, int);
double qunif(double, double, double, int, int);
double runif(double, double, JRNG*);
/* Gamma Distribution */
double dgamma(double, double, double, int);
double pgamma(double, double, double, int, int);
double qgamma(double, double, double, int, int);
double rgamma(double, double, JRNG*);
double log1pmx(double);
double lgamma1p(double);
double logspace_add(double, double);
double logspace_sub(double, double);
/* Beta Distribution */
double dbeta(double, double, double, int);
double pbeta(double, double, double, int, int);
double qbeta(double, double, double, int, int);
double rbeta(double, double, JRNG*);
/* Lognormal Distribution */
double dlnorm(double, double, double, int);
double plnorm(double, double, double, int, int);
double qlnorm(double, double, double, int, int);
double rlnorm(double, double, JRNG*);
/* Chi-squared Distribution */
double dchisq(double, double, int);
double pchisq(double, double, int, int);
double qchisq(double, double, int, int);
double rchisq(double, JRNG*);
/* Non-central Chi-squared Distribution */
double dnchisq(double, double, double, int);
double pnchisq(double, double, double, int, int);
double qnchisq(double, double, double, int, int);
double rnchisq(double, double, JRNG*);
/* F Distibution */
double dF(double, double, double, int);
double pF(double, double, double, int, int);
double qF(double, double, double, int, int);
double rF(double, double, JRNG*);
/* Student t Distibution */
double dt(double, double, int);
double pt(double, double, int, int);
double qt(double, double, int, int);
double rt(double, JRNG*);
/* Binomial Distribution */
double dbinom(double, double, double, int);
double pbinom(double, double, double, int, int);
double qbinom(double, double, double, int, int);
double rbinom(double, double, JRNG*);
/* Multnomial Distribution */
void rmultinom(int, double*, int, int*, JRNG*);
/* Cauchy Distribution */
double dcauchy(double, double, double, int);
double pcauchy(double, double, double, int, int);
double qcauchy(double, double, double, int, int);
double rcauchy(double, double, JRNG*);
/* Exponential Distribution */
double dexp(double, double, int);
double pexp(double, double, int, int);
double qexp(double, double, int, int);
double rexp(double, JRNG*);
/* Geometric Distribution */
double dgeom(double, double, int);
double pgeom(double, double, int, int);
double qgeom(double, double, int, int);
double rgeom(double, JRNG*);
/* Hypergeometric Distibution */
double dhyper(double, double, double, double, int);
double phyper(double, double, double, double, int, int);
double qhyper(double, double, double, double, int, int);
double rhyper(double, double, double, JRNG*);
/* Negative Binomial Distribution */
double dnbinom(double, double, double, int);
double pnbinom(double, double, double, int, int);
double qnbinom(double, double, double, int, int);
double rnbinom(double, double, JRNG*);
/* Poisson Distribution */
double dpois(double, double, int);
double ppois(double, double, int, int);
double qpois(double, double, int, int);
double rpois(double, JRNG*);
/* Weibull Distribution */
double dweibull(double, double, double, int);
double pweibull(double, double, double, int, int);
double qweibull(double, double, double, int, int);
double rweibull(double, double, JRNG*);
/* Logistic Distribution */
double dlogis(double, double, double, int);
double plogis(double, double, double, int, int);
double qlogis(double, double, double, int, int);
double rlogis(double, double, JRNG*);
/* Non-central Beta Distribution */
double dnbeta(double, double, double, double, int);
double pnbeta(double, double, double, double, int, int);
double qnbeta(double, double, double, double, int, int);
double rnbeta(double, double, double, JRNG*);
/* Non-central F Distribution */
double pnf(double, double, double, double, int, int);
double qnf(double, double, double, double, int, int);
/* Non-central Student t Distribution */
double dnt(double, double, double, int);
double pnt(double, double, double, int, int);
double qnt(double, double, double, int, int);
/* Studentized Range Distribution */
double ptukey(double, double, double, double, int, int);
double qtukey(double, double, double, double, int, int);
/* Wilcoxon Rank Sum Distribution */
double dwilcox(double, double, double, int);
double pwilcox(double, double, double, int, int);
double qwilcox(double, double, double, int, int);
double rwilcox(double, double, JRNG*);
/* Wilcoxon Signed Rank Distribution */
double dsignrank(double, double, int);
double psignrank(double, double, int, int);
double qsignrank(double, double, int, int);
double rsignrank(double, JRNG*);
/* Gamma and Related Functions */
double gammafn(double);
double lgammafn(double);
double lgammafn_sign(double, int*);
void dpsifn(double, int, int, int, double*, int*, int*);
double psigamma(double, double);
double digamma(double);
double trigamma(double);
double tetragamma(double);
double pentagamma(double);
double beta(double, double);
double lbeta(double, double);
double choose(double, double);
double lchoose(double, double);
/* Bessel Functions */
double bessel_i(double, double, double);
double bessel_j(double, double);
double bessel_k(double, double, double);
double bessel_y(double, double);
/* General Support Functions */
double pythag(double, double);
#ifndef HAVE_EXPM1
double expm1(double); /* = exp(x)-1 {care for small x} */
#endif
#ifndef HAVE_LOG1P
double log1p(double); /* = log(1+x) {care for small x} */
#endif
int imax2(int, int);
int imin2(int, int);
double fmax2(double, double);
double fmin2(double, double);
double sign(double);
double fprec(double, double);
double fround(double, double);
double fsign(double, double);
double ftrunc(double);
double log1pmx(double); /* Accurate log(1+x) - x, {care for small x} */
double lgamma1p(double);/* accurate log(gamma(x+1)), small x (0 < x < 0.5) */
/* Compute the log of a sum or difference from logs of terms, i.e.,
*
* log (exp (logx) + exp (logy))
* or log (exp (logx) - exp (logy))
*
* without causing overflows or throwing away too much accuracy:
*/
double logspace_add(double logx, double logy);
double logspace_sub(double logx, double logy);
/* ----------------- Private part of the header file ------------------- */
/* old-R Compatibility */
#define snorm norm_rand
#define sunif unif_rand
#define sexp exp_rand
#ifdef MATHLIB_PRIVATE
#define d1mach jags_d1mach
#define i1mach jags_i1mach
#define gamma_cody jags_gamma_cody
double gamma_cody(double); /* used in arithmetic.c */
#endif /* MATHLIB_PRIVATE */
double jags_d1mach(int); /* used in port.c in package stats */
int jags_i1mach(int); /* used in port.c in package stats */
#ifndef MATHLIB_PRIVATE_H
/* If isnan is a macro, as C99 specifies, the C++
math header will undefine it. This happens on OS X */
#ifdef __cplusplus
int JR_isnancpp(double); /* in mlutils.c */
# define ISNAN(x) JR_isnancpp(x)
#else
# define ISNAN(x) (isnan(x)!=0)
#endif
/* We don't have config information available to do anything else */
#define R_FINITE(x) JR_finite(x)
int JR_finite(double);
#ifdef WIN32 /* not Win32 as no config information */
# define NA_REAL (*_imp__NA_REAL)
# define R_NegInf (*_imp__R_NegInf)
# define R_PosInf (*_imp__R_PosInf)
# define N01_kind (*_imp__N01_kind)
# endif
#endif /* not MATHLIB_PRIVATE_H */
#ifndef R_EXT_PRINT_H_
void JREprintf(char const*, ...);
#endif
#ifdef __cplusplus
}
#endif
#endif /* RMATH_H */