glibc/sysdeps/ieee754/k_standard.c

1085 lines
25 KiB
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.
* ====================================================
*/
#if defined(LIBM_SCCS) && !defined(lint)
static char rcsid[] = "$NetBSD: k_standard.c,v 1.6 1995/05/10 20:46:35 jtc Exp $";
#endif
#include <math.h>
#include <math_private.h>
#include <float.h>
#include <errno.h>
#include <assert.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) */
/* XXX gcc versions until now don't delay the 0.0/0.0 division until
runtime but produce NaN at copile time. This is wrong since the
exceptions are not set correctly. */
#if 0
static const double zero = 0.0; /* used as const */
#else
static double zero = 0.0; /* used as const */
#endif
/*
* 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-- tgamma(finite) overflow
* 41-- tgamma(-integer)
* 42-- pow(NaN,0.0)
* 43-- +0**neg
* 44-- exp2 overflow
* 45-- exp2 underflow
* 46-- exp10 overflow
* 47-- exp10 underflow
* 48-- log2(0)
* 49-- log2(x<0)
* 50-- tgamma(+-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:
case 201:
/* acos(|x|>1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "acos" : (type < 200
? "acosf" : "acosl");;
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = NAN;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if(_LIB_VERSION == _SVID_) {
(void) WRITE2("acos: DOMAIN error\n", 19);
}
__set_errno (EDOM);
}
break;
case 2:
case 102:
case 202:
/* asin(|x|>1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "asin" : (type < 200
? "asinf" : "asinl");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = NAN;
if(_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if(_LIB_VERSION == _SVID_) {
(void) WRITE2("asin: DOMAIN error\n", 19);
}
__set_errno (EDOM);
}
break;
case 3:
case 103:
case 203:
/* atan2(+-0,+-0) */
exc.arg1 = y;
exc.arg2 = x;
exc.type = DOMAIN;
exc.name = type < 100 ? "atan2" : (type < 200
? "atan2f" : "atan2l");
assert (_LIB_VERSION == _SVID_);
exc.retval = HUGE;
if(_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if(_LIB_VERSION == _SVID_) {
(void) WRITE2("atan2: DOMAIN error\n", 20);
}
__set_errno (EDOM);
}
break;
case 4:
case 104:
case 204:
/* hypot(finite,finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "hypot" : (type < 200
? "hypotf" : "hypotl");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 5:
case 105:
case 205:
/* cosh(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "cosh" : (type < 200
? "coshf" : "coshl");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 6:
case 106:
case 206:
/* exp(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "exp" : (type < 200
? "expf" : "expl");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 7:
case 107:
case 207:
/* exp(finite) underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "exp" : (type < 200
? "expf" : "expl");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 8:
case 108:
case 208:
/* y0(0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = type < 100 ? "y0" : (type < 200 ? "y0f" : "y0l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y0: DOMAIN error\n", 17);
}
__set_errno (EDOM);
}
break;
case 9:
case 109:
case 209:
/* y0(x<0) = NaN */
exc.type = DOMAIN;
exc.name = type < 100 ? "y0" : (type < 200 ? "y0f" : "y0l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y0: DOMAIN error\n", 17);
}
__set_errno (EDOM);
}
break;
case 10:
case 110:
case 210:
/* y1(0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = type < 100 ? "y1" : (type < 200 ? "y1f" : "y1l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y1: DOMAIN error\n", 17);
}
__set_errno (EDOM);
}
break;
case 11:
case 111:
case 211:
/* y1(x<0) = NaN */
exc.type = DOMAIN;
exc.name = type < 100 ? "y1" : (type < 200 ? "y1f" : "y1l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("y1: DOMAIN error\n", 17);
}
__set_errno (EDOM);
}
break;
case 12:
case 112:
case 212:
/* yn(n,0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = type < 100 ? "yn" : (type < 200 ? "ynf" : "ynl");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("yn: DOMAIN error\n", 17);
}
__set_errno (EDOM);
}
break;
case 13:
case 113:
case 213:
/* yn(x<0) = NaN */
exc.type = DOMAIN;
exc.name = type < 100 ? "yn" : (type < 200 ? "ynf" : "ynl");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("yn: DOMAIN error\n", 17);
}
__set_errno (EDOM);
}
break;
case 14:
case 114:
case 214:
/* lgamma(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "lgamma" : (type < 200
? "lgammaf" : "lgammal");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 15:
case 115:
case 215:
/* lgamma(-integer) or lgamma(0) */
exc.type = SING;
exc.name = type < 100 ? "lgamma" : (type < 200
? "lgammaf" : "lgammal");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("lgamma: SING error\n", 19);
}
__set_errno (EDOM);
}
break;
case 16:
case 116:
case 216:
/* log(0) */
exc.type = SING;
exc.name = type < 100 ? "log" : (type < 200 ? "logf" : "logl");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log: SING error\n", 16);
}
__set_errno (EDOM);
}
break;
case 17:
case 117:
case 217:
/* log(x<0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "log" : (type < 200 ? "logf" : "logl");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = NAN;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log: DOMAIN error\n", 18);
}
__set_errno (EDOM);
}
break;
case 18:
case 118:
case 218:
/* log10(0) */
exc.type = SING;
exc.name = type < 100 ? "log10" : (type < 200
? "log10f" : "log10l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log10: SING error\n", 18);
}
__set_errno (EDOM);
}
break;
case 19:
case 119:
case 219:
/* log10(x<0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "log10" : (type < 200
? "log10f" : "log10l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = NAN;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("log10: DOMAIN error\n", 20);
}
__set_errno (EDOM);
}
break;
case 20:
case 120:
case 220:
/* pow(0.0,0.0) */
/* error only if _LIB_VERSION == _SVID_ */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
exc.retval = zero;
if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
else if (!matherr(&exc)) {
(void) WRITE2("pow(0,0): DOMAIN error\n", 23);
__set_errno (EDOM);
}
break;
case 21:
case 121:
case 221:
/* pow(x,y) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
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_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 22:
case 122:
case 222:
/* pow(x,y) underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
exc.retval = zero;
y *= 0.5;
if (x < zero && __rint (y) != y)
exc.retval = -zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 23:
case 123:
case 223:
/* -0**neg */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
}
__set_errno (EDOM);
}
break;
case 43:
case 143:
case 243:
/* +0**neg */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
}
__set_errno (EDOM);
}
break;
case 24:
case 124:
case 224:
/* neg**non-integral */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = zero/zero; /* X/Open allow NaN */
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("neg**non-integral: DOMAIN error\n", 32);
}
__set_errno (EDOM);
}
break;
case 25:
case 125:
case 225:
/* sinh(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "sinh" : (type < 200
? "sinhf" : "sinhl");
if (_LIB_VERSION == _SVID_)
exc.retval = ( (x>zero) ? HUGE : -HUGE);
else
exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL);
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 26:
case 126:
case 226:
/* sqrt(x<0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "sqrt" : (type < 200
? "sqrtf" : "sqrtl");
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("sqrt: DOMAIN error\n", 19);
}
__set_errno (EDOM);
}
break;
case 27:
case 127:
case 227:
/* fmod(x,0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "fmod" : (type < 200
? "fmodf" : "fmodl");
if (_LIB_VERSION == _SVID_)
exc.retval = x;
else
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("fmod: DOMAIN error\n", 20);
}
__set_errno (EDOM);
}
break;
case 28:
case 128:
case 228:
/* remainder(x,0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "remainder" : (type < 200
? "remainderf"
: "remainderl");
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("remainder: DOMAIN error\n", 24);
}
__set_errno (EDOM);
}
break;
case 29:
case 129:
case 229:
/* acosh(x<1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "acosh" : (type < 200
? "acoshf" : "acoshl");
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("acosh: DOMAIN error\n", 20);
}
__set_errno (EDOM);
}
break;
case 30:
case 130:
case 230:
/* atanh(|x|>1) */
exc.type = DOMAIN;
exc.name = type < 100 ? "atanh" : (type < 200
? "atanhf" : "atanhl");
exc.retval = zero/zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("atanh: DOMAIN error\n", 20);
}
__set_errno (EDOM);
}
break;
case 31:
case 131:
case 231:
/* atanh(|x|=1) */
exc.type = SING;
exc.name = type < 100 ? "atanh" : (type < 200
? "atanhf" : "atanhl");
exc.retval = x/zero; /* sign(x)*inf */
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("atanh: SING error\n", 18);
}
__set_errno (EDOM);
}
break;
case 32:
case 132:
case 232:
/* scalb overflow; SVID also returns +-HUGE_VAL */
exc.type = OVERFLOW;
exc.name = type < 100 ? "scalb" : (type < 200
? "scalbf" : "scalbl");
exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 33:
case 133:
case 233:
/* scalb underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "scalb" : (type < 200
? "scalbf" : "scalbl");
exc.retval = __copysign(zero,x);
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 34:
case 134:
case 234:
/* j0(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "j0" : (type < 200 ? "j0f" : "j0l");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
__set_errno (ERANGE);
}
break;
case 35:
case 135:
case 235:
/* y0(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "y0" : (type < 200 ? "y0f" : "y0l");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
__set_errno (ERANGE);
}
break;
case 36:
case 136:
case 236:
/* j1(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "j1" : (type < 200 ? "j1f" : "j1l");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
__set_errno (ERANGE);
}
break;
case 37:
case 137:
case 237:
/* y1(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "y1" : (type < 200 ? "y1f" : "y1l");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
__set_errno (ERANGE);
}
break;
case 38:
case 138:
case 238:
/* jn(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "jn" : (type < 200 ? "jnf" : "jnl");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
__set_errno (ERANGE);
}
break;
case 39:
case 139:
case 239:
/* yn(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = type < 100 ? "yn" : (type < 200 ? "ynf" : "ynl");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2(exc.name, 2);
(void) WRITE2(": TLOSS error\n", 14);
}
__set_errno (ERANGE);
}
break;
case 40:
case 140:
case 240:
/* tgamma(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "tgamma" : (type < 200
? "tgammaf" : "tgammal");
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 41:
case 141:
case 241:
/* tgamma(-integer) */
exc.type = SING;
exc.name = type < 100 ? "tgamma" : (type < 200
? "tgammaf" : "tgammal");
exc.retval = NAN;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_) {
(void) WRITE2("tgamma: SING error\n", 18);
exc.retval = HUGE_VAL;
}
__set_errno (EDOM);
}
break;
case 42:
case 142:
case 242:
/* pow(NaN,0.0) */
/* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
exc.type = DOMAIN;
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
exc.retval = x;
if (_LIB_VERSION == _IEEE_ ||
_LIB_VERSION == _POSIX_) exc.retval = 1.0;
else if (!matherr(&exc)) {
__set_errno (EDOM);
}
break;
case 44:
case 144:
case 244:
/* exp(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "exp2" : (type < 200
? "exp2f" : "exp2l");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 45:
case 145:
case 245:
/* exp(finite) underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "exp2" : (type < 200
? "exp2f" : "exp2l");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 46:
case 146:
case 246:
/* exp(finite) overflow */
exc.type = OVERFLOW;
exc.name = type < 100 ? "exp10" : (type < 200
? "exp10f" : "exp10l");
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 47:
case 147:
case 247:
/* exp(finite) underflow */
exc.type = UNDERFLOW;
exc.name = type < 100 ? "exp10" : (type < 200
? "exp10f" : "exp10l");
exc.retval = zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (ERANGE);
}
break;
case 48:
case 148:
case 248:
/* log2(0) */
exc.type = SING;
exc.name = type < 100 ? "log2" : (type < 200
? "log2f" : "log2l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
__set_errno (EDOM);
}
break;
case 49:
case 149:
case 249:
/* log2(x<0) */
exc.type = DOMAIN;
exc.name = type < 100 ? "log2" : (type < 200
? "log2f" : "log2l");
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = NAN;
if (_LIB_VERSION == _POSIX_)
__set_errno (EDOM);
else if (!matherr(&exc)) {
__set_errno (EDOM);
}
break;
case 50:
case 150:
case 250:
/* tgamma(+-0) */
exc.type = SING;
exc.name = type < 100 ? "tgamma" : (type < 200
? "tgammaf" : "tgammal");
exc.retval = __copysign (HUGE_VAL, x);
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr(&exc)) {
if (_LIB_VERSION == _SVID_)
(void) WRITE2("tgamma: SING error\n", 18);
__set_errno (ERANGE);
}
break;
/* #### Last used is 50/150/250 ### */
}
return exc.retval;
}
float
__kernel_standard_f(float x, float y, int type)
{
return __kernel_standard(x, y, type);
}
long double
__kernel_standard_l (long double x, long double y, int type)
{
double dx, dy;
struct exception exc;
if (isfinite (x))
{
long double ax = fabsl (x);
if (ax > DBL_MAX)
dx = __copysignl (DBL_MAX, x);
else if (ax > 0 && ax < DBL_MIN)
dx = __copysignl (DBL_MIN, x);
else
dx = x;
}
else
dx = x;
if (isfinite (y))
{
long double ay = fabsl (y);
if (ay > DBL_MAX)
dy = __copysignl (DBL_MAX, y);
else if (ay > 0 && ay < DBL_MIN)
dy = __copysignl (DBL_MIN, y);
else
dy = y;
}
else
dy = y;
switch (type)
{
case 221:
/* powl (x, y) overflow. */
exc.arg1 = dx;
exc.arg2 = dy;
exc.type = OVERFLOW;
exc.name = "powl";
if (_LIB_VERSION == _SVID_)
{
exc.retval = HUGE;
y *= 0.5;
if (x < zero && __rintl (y) != y)
exc.retval = -HUGE;
}
else
{
exc.retval = HUGE_VAL;
y *= 0.5;
if (x < zero && __rintl (y) != y)
exc.retval = -HUGE_VAL;
}
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr (&exc))
__set_errno (ERANGE);
return exc.retval;
case 222:
/* powl (x, y) underflow. */
exc.arg1 = dx;
exc.arg2 = dy;
exc.type = UNDERFLOW;
exc.name = "powl";
exc.retval = zero;
y *= 0.5;
if (x < zero && __rintl (y) != y)
exc.retval = -zero;
if (_LIB_VERSION == _POSIX_)
__set_errno (ERANGE);
else if (!matherr (&exc))
__set_errno (ERANGE);
return exc.retval;
default:
return __kernel_standard (dx, dy, type);
}
}