/* @(#)k_standard.c 1.3 95/01/18 */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunSoft, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== * */ #include "fdlibm.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 double zero = 0.0; /* used as const */ /* * Standard conformance (non-IEEE) on exception cases. * Mapping: * 1 -- ieee_acos(|x|>1) * 2 -- ieee_asin(|x|>1) * 3 -- ieee_atan2(+-0,+-0) * 4 -- hypot overflow * 5 -- cosh overflow * 6 -- exp overflow * 7 -- exp underflow * 8 -- ieee_y0(0) * 9 -- ieee_y0(-ve) * 10-- ieee_y1(0) * 11-- ieee_y1(-ve) * 12-- ieee_yn(0) * 13-- ieee_yn(-ve) * 14-- ieee_lgamma(finite) overflow * 15-- ieee_lgamma(-integer) * 16-- ieee_log(0) * 17-- ieee_log(x<0) * 18-- ieee_log10(0) * 19-- ieee_log10(x<0) * 20-- ieee_pow(0.0,0.0) * 21-- ieee_pow(x,y) overflow * 22-- ieee_pow(x,y) underflow * 23-- ieee_pow(0,negative) * 24-- ieee_pow(neg,non-integral) * 25-- ieee_sinh(finite) overflow * 26-- ieee_sqrt(negative) * 27-- ieee_fmod(x,0) * 28-- ieee_remainder(x,0) * 29-- acosh(x<1) * 30-- atanh(|x|>1) * 31-- atanh(|x|=1) * 32-- scalb overflow * 33-- scalb underflow * 34-- ieee_j0(|x|>X_TLOSS) * 35-- ieee_y0(x>X_TLOSS) * 36-- ieee_j1(|x|>X_TLOSS) * 37-- ieee_y1(x>X_TLOSS) * 38-- ieee_jn(|x|>X_TLOSS, n) * 39-- ieee_yn(x>X_TLOSS, n) * 40-- ieee_gamma(finite) overflow * 41-- ieee_gamma(-integer) * 42-- ieee_pow(NaN,0.0) */ #ifdef __STDC__ double __kernel_standard(double x, double y, int type) #else double __kernel_standard(x,y,type) double x,y; int type; #endif { struct exception exc; #ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */ #define HUGE_VAL inf double inf = 0.0; __HI(inf) = 0x7ff00000; /* set inf to infinite */ #endif #ifdef _USE_WRITE (void) fflush(stdout); #endif exc.arg1 = x; exc.arg2 = y; switch(type) { case 1: /* ieee_acos(|x|>1) */ exc.type = DOMAIN; exc.name = "acos"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if(_LIB_VERSION == _SVID_) { (void) WRITE2("acos: DOMAIN error\n", 19); } errno = EDOM; } break; case 2: /* ieee_asin(|x|>1) */ exc.type = DOMAIN; exc.name = "asin"; exc.retval = zero; if(_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if(_LIB_VERSION == _SVID_) { (void) WRITE2("asin: DOMAIN error\n", 19); } errno = EDOM; } break; case 3: /* ieee_atan2(+-0,+-0) */ exc.arg1 = y; exc.arg2 = x; exc.type = DOMAIN; exc.name = "atan2"; exc.retval = zero; if(_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if(_LIB_VERSION == _SVID_) { (void) WRITE2("atan2: DOMAIN error\n", 20); } errno = EDOM; } break; case 4: /* ieee_hypot(finite,finite) overflow */ exc.type = OVERFLOW; exc.name = "hypot"; if (_LIB_VERSION == _SVID_) exc.retval = HUGE; else exc.retval = HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 5: /* ieee_cosh(finite) overflow */ exc.type = OVERFLOW; exc.name = "cosh"; if (_LIB_VERSION == _SVID_) exc.retval = HUGE; else exc.retval = HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 6: /* ieee_exp(finite) overflow */ exc.type = OVERFLOW; exc.name = "exp"; if (_LIB_VERSION == _SVID_) exc.retval = HUGE; else exc.retval = HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 7: /* ieee_exp(finite) underflow */ exc.type = UNDERFLOW; exc.name = "exp"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 8: /* ieee_y0(0) = -inf */ exc.type = DOMAIN; /* should be SING for IEEE */ exc.name = "y0"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("y0: DOMAIN error\n", 17); } errno = EDOM; } break; case 9: /* ieee_y0(x<0) = NaN */ exc.type = DOMAIN; exc.name = "y0"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("y0: DOMAIN error\n", 17); } errno = EDOM; } break; case 10: /* ieee_y1(0) = -inf */ exc.type = DOMAIN; /* should be SING for IEEE */ exc.name = "y1"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("y1: DOMAIN error\n", 17); } errno = EDOM; } break; case 11: /* ieee_y1(x<0) = NaN */ exc.type = DOMAIN; exc.name = "y1"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("y1: DOMAIN error\n", 17); } errno = EDOM; } break; case 12: /* ieee_yn(n,0) = -inf */ exc.type = DOMAIN; /* should be SING for IEEE */ exc.name = "yn"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("yn: DOMAIN error\n", 17); } errno = EDOM; } break; case 13: /* ieee_yn(x<0) = NaN */ exc.type = DOMAIN; exc.name = "yn"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("yn: DOMAIN error\n", 17); } errno = EDOM; } break; case 14: /* ieee_lgamma(finite) overflow */ exc.type = OVERFLOW; exc.name = "lgamma"; if (_LIB_VERSION == _SVID_) exc.retval = HUGE; else exc.retval = HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 15: /* ieee_lgamma(-integer) or ieee_lgamma(0) */ exc.type = SING; exc.name = "lgamma"; if (_LIB_VERSION == _SVID_) exc.retval = HUGE; else exc.retval = HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("lgamma: SING error\n", 19); } errno = EDOM; } break; case 16: /* ieee_log(0) */ exc.type = SING; exc.name = "log"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("log: SING error\n", 16); } errno = EDOM; } break; case 17: /* ieee_log(x<0) */ exc.type = DOMAIN; exc.name = "log"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("log: DOMAIN error\n", 18); } errno = EDOM; } break; case 18: /* ieee_log10(0) */ exc.type = SING; exc.name = "log10"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("log10: SING error\n", 18); } errno = EDOM; } break; case 19: /* ieee_log10(x<0) */ exc.type = DOMAIN; exc.name = "log10"; if (_LIB_VERSION == _SVID_) exc.retval = -HUGE; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("log10: DOMAIN error\n", 20); } errno = EDOM; } break; case 20: /* ieee_pow(0.0,0.0) */ /* error only if _LIB_VERSION == _SVID_ */ exc.type = DOMAIN; exc.name = "pow"; exc.retval = zero; if (_LIB_VERSION != _SVID_) exc.retval = 1.0; else if (!ieee_matherr(&exc)) { (void) WRITE2("pow(0,0): DOMAIN error\n", 23); errno = EDOM; } break; case 21: /* ieee_pow(x,y) overflow */ exc.type = OVERFLOW; exc.name = "pow"; if (_LIB_VERSION == _SVID_) { exc.retval = HUGE; y *= 0.5; if(x<zero&&ieee_rint(y)!=y) exc.retval = -HUGE; } else { exc.retval = HUGE_VAL; y *= 0.5; if(x<zero&&ieee_rint(y)!=y) exc.retval = -HUGE_VAL; } if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 22: /* ieee_pow(x,y) underflow */ exc.type = UNDERFLOW; exc.name = "pow"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 23: /* 0**neg */ exc.type = DOMAIN; exc.name = "pow"; if (_LIB_VERSION == _SVID_) exc.retval = zero; else exc.retval = -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("pow(0,neg): DOMAIN error\n", 25); } errno = EDOM; } break; case 24: /* neg**non-integral */ exc.type = DOMAIN; exc.name = "pow"; if (_LIB_VERSION == _SVID_) exc.retval = zero; else exc.retval = zero/zero; /* X/Open allow NaN */ if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("neg**non-integral: DOMAIN error\n", 32); } errno = EDOM; } break; case 25: /* ieee_sinh(finite) overflow */ exc.type = OVERFLOW; exc.name = "sinh"; 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 (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 26: /* ieee_sqrt(x<0) */ exc.type = DOMAIN; exc.name = "sqrt"; if (_LIB_VERSION == _SVID_) exc.retval = zero; else exc.retval = zero/zero; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("sqrt: DOMAIN error\n", 19); } errno = EDOM; } break; case 27: /* ieee_fmod(x,0) */ exc.type = DOMAIN; exc.name = "fmod"; if (_LIB_VERSION == _SVID_) exc.retval = x; else exc.retval = zero/zero; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("fmod: DOMAIN error\n", 20); } errno = EDOM; } break; case 28: /* ieee_remainder(x,0) */ exc.type = DOMAIN; exc.name = "remainder"; exc.retval = zero/zero; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("remainder: DOMAIN error\n", 24); } errno = EDOM; } break; case 29: /* acosh(x<1) */ exc.type = DOMAIN; exc.name = "acosh"; exc.retval = zero/zero; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("acosh: DOMAIN error\n", 20); } errno = EDOM; } break; case 30: /* atanh(|x|>1) */ exc.type = DOMAIN; exc.name = "atanh"; exc.retval = zero/zero; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("atanh: DOMAIN error\n", 20); } errno = EDOM; } break; case 31: /* atanh(|x|=1) */ exc.type = SING; exc.name = "atanh"; exc.retval = x/zero; /* sign(x)*inf */ if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("atanh: SING error\n", 18); } errno = EDOM; } break; case 32: /* scalb overflow; SVID also returns +-HUGE_VAL */ exc.type = OVERFLOW; exc.name = "scalb"; exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 33: /* scalb underflow */ exc.type = UNDERFLOW; exc.name = "scalb"; exc.retval = ieee_copysign(zero,x); if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 34: /* ieee_j0(|x|>X_TLOSS) */ exc.type = TLOSS; exc.name = "j0"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2(exc.name, 2); (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; } break; case 35: /* ieee_y0(x>X_TLOSS) */ exc.type = TLOSS; exc.name = "y0"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2(exc.name, 2); (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; } break; case 36: /* ieee_j1(|x|>X_TLOSS) */ exc.type = TLOSS; exc.name = "j1"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2(exc.name, 2); (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; } break; case 37: /* ieee_y1(x>X_TLOSS) */ exc.type = TLOSS; exc.name = "y1"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2(exc.name, 2); (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; } break; case 38: /* ieee_jn(|x|>X_TLOSS) */ exc.type = TLOSS; exc.name = "jn"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2(exc.name, 2); (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; } break; case 39: /* ieee_yn(x>X_TLOSS) */ exc.type = TLOSS; exc.name = "yn"; exc.retval = zero; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2(exc.name, 2); (void) WRITE2(": TLOSS error\n", 14); } errno = ERANGE; } break; case 40: /* ieee_gamma(finite) overflow */ exc.type = OVERFLOW; exc.name = "gamma"; if (_LIB_VERSION == _SVID_) exc.retval = HUGE; else exc.retval = HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = ERANGE; else if (!ieee_matherr(&exc)) { errno = ERANGE; } break; case 41: /* ieee_gamma(-integer) or ieee_gamma(0) */ exc.type = SING; exc.name = "gamma"; if (_LIB_VERSION == _SVID_) exc.retval = HUGE; else exc.retval = HUGE_VAL; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!ieee_matherr(&exc)) { if (_LIB_VERSION == _SVID_) { (void) WRITE2("gamma: SING error\n", 18); } errno = EDOM; } break; case 42: /* ieee_pow(NaN,0.0) */ /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */ exc.type = DOMAIN; exc.name = "pow"; exc.retval = x; if (_LIB_VERSION == _IEEE_ || _LIB_VERSION == _POSIX_) exc.retval = 1.0; else if (!ieee_matherr(&exc)) { errno = EDOM; } break; } return exc.retval; }