#ifndef lint static char sccsid[] = "@(#)ieee_func.c 1.1 92/07/30 SMI"; #endif /* * Copyright (c) 1988 by Sun Microsystems, Inc. */ /* IEEE functions * copysign() * finite() * ilogb() * isinf() * isnan() * isnormal() * issubnormal() * iszero() * nextafter() * scalbn() * signbit() */ #include #include "libm.h" #define divbyz (1<<(int)fp_division) #define unflow (1<<(int)fp_underflow) #define ovflow (1<<(int)fp_overflow) #define iexact (1<<(int)fp_inexact) #define ivalid (1<<(int)fp_invalid) static double setexception(); extern _swapTE(),_swapEX(); extern enum fp_direction_type _swapRD(); static double one = 1.0; double copysign(x,y) double x,y; { int n0; long *px = (long *) &x; long *py = (long *) &y; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ px[n0] = (px[n0]&0x7fffffff)|(py[n0]&0x80000000); return x; } int finite(x) double x; { int n0; long *px = (long *) &x; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ return ((px[n0]&0x7ff00000)!=0x7ff00000); } int ilogb(x) double x; { int n0; long *px = (long *) &x, k; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ k = px[n0]&0x7ff00000; if(k==0) { if ((px[1-n0]|(px[n0]&0x7fffffff))==0) return 0x80000001; else { x *= two52; return ((px[n0]&0x7ff00000)>>20)-1075; } } else if (k!=0x7ff00000) return (k>>20)-1023; else return 0x7fffffff; } int isinf(x) double x; { int n0; long *px = (long *) &x; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ if((px[n0]&0x7fffffff)!=0x7ff00000) return FALSE; else return px[1-n0] == 0; } int isnan(x) double x; { int n0; long *px = (long *) &x; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ if((px[n0]&0x7ff00000)!=0x7ff00000) return FALSE; else return ((px[n0]&0x000fffff)|px[1-n0]) != 0; } int isnormal(x) double x; { int n0; long *px = (long *) &x, n; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ n = px[n0]&0x7ff00000; return (n!=0&&n!=0x7ff00000); } int issubnormal(x) double x; { int n0; long *px = (long *) &x, n; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ n = px[n0]&0x7ff00000; return (n==0&&(px[1-n0]|(px[n0]&0x7fffffff))!=0) ; } int iszero(x) double x; { int n0; long *px = (long *) &x; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ return ((px[1-n0]|(px[n0]&0x7fffffff))==0) ; } double nextafter(x,y) double x,y; { int n0; long *px = (long *) &x; long *py = (long *) &y; long k; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ if(x==y) return x; if(x!=x||y!=y) return x+y; if(x==0.0) { px[n0] = py[n0]&0x80000000; px[1-n0] = 1; } else if(x>0.0) { if (x > y) { px[1-n0] -= 1; if(px[1-n0]==0xffffffff) px[n0] -= 1; } else { px[1-n0] += 1; if(px[1-n0]==0) px[n0] += 1; } } else { if (x < y) { px[1-n0] -= 1; if(px[1-n0]==0xffffffff) px[n0] -= 1; } else { px[1-n0] += 1; if(px[1-n0]==0) px[n0] += 1; } } k = px[n0]&0x7ff00000; if(k==0x7ff00000) setexception(2,x); /* overflow */ else if(k==0) setexception(1,x); /* underflow */ return x; } double scalbn(x,n) double x; int n; { int n0; long *px = (long *) &x, k; double twom54=twom52*0.25; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ k = (px[n0]&0x7ff00000)>>20; if (k==0x7ff) return x+x; if ((px[1-n0]|(px[n0]&0x7fffffff))==0) return x; if (k==0) {x *= two52; k = ((px[n0]&0x7ff00000)>>20) - 52;} k = k+n; if (n > 5000) return setexception(2,x); if (n < -5000) return setexception(1,x); if (k > 0x7fe ) return setexception(2,x); if (k <= -54 ) return setexception(1,x); if (k > 0) { px[n0] = (px[n0]&0x800fffff)|(k<<20); return x; } k += 54; px[n0] = (px[n0]&0x800fffff)|(k<<20); return x*twom54; } int signbit(x) double x; { int n0; long *px = (long *) &x; if ((* (int *) &one) != 0) n0 = 0; /* not a i386 */ else n0 = 1; /* is a i386 */ return (px[n0]>>31)&1; } static double setexception(n,x) int n; double x; { /* n = 1 --- underflow = 2 --- overflow */ int te,ex,k; enum fp_direction_type rd; te = _swapTE(0); if(te!=0) _swapTE(te); rd = _swapRD(fp_nearest); if(rd!=fp_nearest) _swapRD(rd); switch(n) { case 1: /* underflow */ if((te&unflow)==0&&rd==fp_nearest) {ex= _swapEX(0); _swapEX(ex|unflow|iexact); return copysign(0.0,x);} else return fmin*copysign(fmin,x); case 2: /* overflow */ if((te&ovflow)==0&&rd==fp_nearest) {ex= _swapEX(0); _swapEX(ex|ovflow|iexact); return copysign(Inf,x);} else return fmax*copysign(fmax,x); } }