FreeBSD-5.3/lib/msun/src/k_standard.c
/* @(#)k_standard.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
#ifndef lint
static char rcsid[] = "$FreeBSD: src/lib/msun/src/k_standard.c,v 1.7 2002/05/28 18:15:04 alfred Exp $";
#endif
#include "math.h"
#include "math_private.h"
#include <errno.h>
#ifndef _USE_WRITE
#include <stdio.h> /* fputs(), stderr */
#define WRITE2(u,v) fputs(u, stderr)
#else /* !defined(_USE_WRITE) */
#include <unistd.h> /* write */
#define WRITE2(u,v) write(2, u, v)
#undef fflush
#endif /* !defined(_USE_WRITE) */
static const double zero = 0.0; /* used as const */
/*
* Standard conformance (non-IEEE) on exception cases.
* Mapping:
* 1 -- acos(|x|>1)
* 2 -- asin(|x|>1)
* 3 -- atan2(+-0,+-0)
* 4 -- hypot overflow
* 5 -- cosh overflow
* 6 -- exp overflow
* 7 -- exp underflow
* 8 -- y0(0)
* 9 -- y0(-ve)
* 10-- y1(0)
* 11-- y1(-ve)
* 12-- yn(0)
* 13-- yn(-ve)
* 14-- lgamma(finite) overflow
* 15-- lgamma(-integer)
* 16-- log(0)
* 17-- log(x<0)
* 18-- log10(0)
* 19-- log10(x<0)
* 20-- pow(0.0,0.0)
* 21-- pow(x,y) overflow
* 22-- pow(x,y) underflow
* 23-- pow(0,negative)
* 24-- pow(neg,non-integral)
* 25-- sinh(finite) overflow
* 26-- sqrt(negative)
* 27-- fmod(x,0)
* 28-- remainder(x,0)
* 29-- acosh(x<1)
* 30-- atanh(|x|>1)
* 31-- atanh(|x|=1)
* 32-- scalb overflow
* 33-- scalb underflow
* 34-- j0(|x|>X_TLOSS)
* 35-- y0(x>X_TLOSS)
* 36-- j1(|x|>X_TLOSS)
* 37-- y1(x>X_TLOSS)
* 38-- jn(|x|>X_TLOSS, n)
* 39-- yn(x>X_TLOSS, n)
* 40-- gamma(finite) overflow
* 41-- gamma(-integer)
* 42-- pow(NaN,0.0)
*/
double
__kernel_standard(double x, double y, int type)
{
struct exception exc;
#ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */
#define HUGE_VAL inf
double inf = 0.0;
SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
#endif
#ifdef _USE_WRITE
(void) fflush(stdout);
#endif
exc.arg1 = x;
exc.arg2 = y;
switch(type) {
case 1:
case 101:
/* acos(|x|>1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "acos" : "acosf";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if(_LIB_VERSION == _SVID_) {
(void) WRITE2("acos: DOMAIN error\n", 19);
}
errno = EDOM;
}
break;
case 2:
case 102:
/* asin(|x|>1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "asin" : "asinf";
exc.retval = zero;
if(_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if(_LIB_VERSION == _SVID_) {
(void) WRITE2("asin: DOMAIN error\n", 19);
}
errno = EDOM;
}
break;
case 3:
case 103:
/* atan2(+-0,+-0) */
exc.arg1 = y;
exc.arg2 = x;
exc.type = DOMAIN;
exc.name = type < 100 ? "atan2" : "atan2f";
exc.retval = zero;
if(_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if(_LIB_VERSION == _SVID_) {
(void) WRITE2("atan2: DOMAIN error\n", 20);
}
errno = EDOM;
}
break;
case 4:
case 104:
/* hypot(finite,finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "hypot" : "hypotf";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 5:
case 105:
/* cosh(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "cosh" : "coshf";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 6:
case 106:
/* exp(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "exp" : "expf";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 7:
case 107:
/* exp(finite) underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "exp" : "expf";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 8:
case 108:
/* y0(0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = type < 100 ? "y0" : "y0f";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y0: DOMAIN error\n", 17);
}
errno = EDOM;
}
break;
case 9:
case 109:
/* y0(x<0) = NaN */
exc.type = DOMAIN;
exc.name = type < 100 ? "y0" : "y0f";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y0: DOMAIN error\n", 17);
}
errno = EDOM;
}
break;
case 10:
case 110:
/* y1(0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = type < 100 ? "y1" : "y1f";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y1: DOMAIN error\n", 17);
}
errno = EDOM;
}
break;
case 11:
case 111:
/* y1(x<0) = NaN */
exc.type = DOMAIN;
exc.name = type < 100 ? "y1" : "y1f";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y1: DOMAIN error\n", 17);
}
errno = EDOM;
}
break;
case 12:
case 112:
/* yn(n,0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = type < 100 ? "yn" : "ynf";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("yn: DOMAIN error\n", 17);
}
errno = EDOM;
}
break;
case 13:
case 113:
/* yn(x<0) = NaN */
exc.type = DOMAIN;
exc.name = type < 100 ? "yn" : "ynf";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("yn: DOMAIN error\n", 17);
}
errno = EDOM;
}
break;
case 14:
case 114:
/* lgamma(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "lgamma" : "lgammaf";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 15:
case 115:
/* lgamma(-integer) or lgamma(0) */
exc.type = SING;
exc.name = type < 100 ? "lgamma" : "lgammaf";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("lgamma: SING error\n", 19);
}
errno = EDOM;
}
break;
case 16:
case 116:
/* log(0) */
exc.type = SING;
exc.name = type < 100 ? "log" : "logf";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log: SING error\n", 16);
}
errno = EDOM;
}
break;
case 17:
case 117:
/* log(x<0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "log" : "logf";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log: DOMAIN error\n", 18);
}
errno = EDOM;
}
break;
case 18:
case 118:
/* log10(0) */
exc.type = SING;
exc.name = type < 100 ? "log10" : "log10f";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log10: SING error\n", 18);
}
errno = EDOM;
}
break;
case 19:
case 119:
/* log10(x<0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "log10" : "log10f";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log10: DOMAIN error\n", 20);
}
errno = EDOM;
}
break;
case 20:
case 120:
/* pow(0.0,0.0) */
/* error only if _LIB_VERSION == _SVID_ */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : "powf";
exc.retval = zero;
if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
else if (!matherr(&exc)) {
(void) WRITE2("pow(0,0): DOMAIN error\n", 23);
errno = EDOM;
}
break;
case 21:
case 121:
/* pow(x,y) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "pow" : "powf";
if (_LIB_VERSION == _SVID_) {
exc.retval = HUGE;
y *= 0.5;
if(x<zero&&rint(y)!=y) exc.retval = -HUGE;
} else {
exc.retval = HUGE_VAL;
y *= 0.5;
if(x<zero&&rint(y)!=y) exc.retval = -HUGE_VAL;
}
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 22:
case 122:
/* pow(x,y) underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "pow" : "powf";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 23:
case 123:
/* 0**neg */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : "powf";
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
}
errno = EDOM;
}
break;
case 24:
case 124:
/* neg**non-integral */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : "powf";
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = zero/zero; /* X/Open allow NaN */
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("neg**non-integral: DOMAIN error\n", 32);
}
errno = EDOM;
}
break;
case 25:
case 125:
/* sinh(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "sinh" : "sinhf";
if (_LIB_VERSION == _SVID_)
exc.retval = ( (x>zero) ? HUGE : -HUGE);
else
exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL);
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 26:
case 126:
/* sqrt(x<0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "sqrt" : "sqrtf";
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("sqrt: DOMAIN error\n", 19);
}
errno = EDOM;
}
break;
case 27:
case 127:
/* fmod(x,0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "fmod" : "fmodf";
if (_LIB_VERSION == _SVID_)
exc.retval = x;
else
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("fmod: DOMAIN error\n", 20);
}
errno = EDOM;
}
break;
case 28:
case 128:
/* remainder(x,0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "remainder" : "remainderf";
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("remainder: DOMAIN error\n", 24);
}
errno = EDOM;
}
break;
case 29:
case 129:
/* acosh(x<1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "acosh" : "acoshf";
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("acosh: DOMAIN error\n", 20);
}
errno = EDOM;
}
break;
case 30:
case 130:
/* atanh(|x|>1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "atanh" : "atanhf";
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("atanh: DOMAIN error\n", 20);
}
errno = EDOM;
}
break;
case 31:
case 131:
/* atanh(|x|=1) */
exc.type = SING;
exc.name = type < 100 ? "atanh" : "atanhf";
exc.retval = x/zero; /* sign(x)*inf */
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("atanh: SING error\n", 18);
}
errno = EDOM;
}
break;
case 32:
case 132:
/* scalb overflow; SVID also returns +-HUGE_VAL */
exc.type = OVERFLOW;
exc.name = type < 100 ? "scalb" : "scalbf";
exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 33:
case 133:
/* scalb underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "scalb" : "scalbf";
exc.retval = copysign(zero,x);
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 34:
case 134:
/* j0(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "j0" : "j0f";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
errno = ERANGE;
}
break;
case 35:
case 135:
/* y0(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "y0" : "y0f";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
errno = ERANGE;
}
break;
case 36:
case 136:
/* j1(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "j1" : "j1f";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
errno = ERANGE;
}
break;
case 37:
case 137:
/* y1(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "y1" : "y1f";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
errno = ERANGE;
}
break;
case 38:
case 138:
/* jn(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "jn" : "jnf";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
errno = ERANGE;
}
break;
case 39:
case 139:
/* yn(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "yn" : "ynf";
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
errno = ERANGE;
}
break;
case 40:
case 140:
/* gamma(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "gamma" : "gammaf";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = ERANGE;
else if (!matherr(&exc)) {
errno = ERANGE;
}
break;
case 41:
case 141:
/* gamma(-integer) or gamma(0) */
exc.type = SING;
exc.name = type < 100 ? "gamma" : "gammaf";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
errno = EDOM;
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("gamma: SING error\n", 18);
}
errno = EDOM;
}
break;
case 42:
case 142:
/* pow(NaN,0.0) */
/* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : "powf";
exc.retval = x;
if (_LIB_VERSION == _IEEE_ ||
_LIB_VERSION == _POSIX_) exc.retval = 1.0;
else if (!matherr(&exc)) {
errno = EDOM;
}
break;
}
return exc.retval;
}