/* @(#)s_nextafter.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. * ==================================================== */ /* IEEE functions * nexttoward(x,y) * return the next machine floating-point number of x in the * direction toward y. * Special cases: */ #include #include #include "math_private.h" double nexttoward(double x, long double y) { int32_t hx,ix; int64_t hy,iy; u_int32_t lx; u_int64_t ly; EXTRACT_WORDS(hx,lx,x); GET_LDOUBLE_WORDS64(hy,ly,y); ix = hx&0x7fffffff; /* |x| */ iy = hy&0x7fffffffffffffffLL; /* |y| */ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */ ((iy>=0x7fff000000000000LL)&&((iy-0x7fff000000000000LL)|ly)!=0)) /* y is nan */ return x+y; if((long double) x==y) return y; /* x=y, return y */ if((ix|lx)==0) { /* x == 0 */ volatile double u; INSERT_WORDS(x,(u_int32_t)((hy>>32)&0x80000000),1);/* return +-minsub */ u = x; u = u * u; /* raise underflow flag */ return x; } if(hx>=0) { /* x > 0 */ if (hy<0||(ix>>20)>(iy>>48)-0x3c00 || ((ix>>20)==(iy>>48)-0x3c00 && (((((int64_t)hx)<<28)|(lx>>4))>(hy&0x0000ffffffffffffLL) || (((((int64_t)hx)<<28)|(lx>>4))==(hy&0x0000ffffffffffffLL) && (lx&0xf)>(ly>>60))))) { /* x > y, x -= ulp */ if(lx==0) hx -= 1; lx -= 1; } else { /* x < y, x += ulp */ lx += 1; if(lx==0) hx += 1; } } else { /* x < 0 */ if (hy>=0||(ix>>20)>(iy>>48)-0x3c00 || ((ix>>20)==(iy>>48)-0x3c00 && (((((int64_t)hx)<<28)|(lx>>4))>(hy&0x0000ffffffffffffLL) || (((((int64_t)hx)<<28)|(lx>>4))==(hy&0x0000ffffffffffffLL) && (lx&0xf)>(ly>>60))))) { /* x < y, x -= ulp */ if(lx==0) hx -= 1; lx -= 1; } else { /* x > y, x += ulp */ lx += 1; if(lx==0) hx += 1; } } hy = hx&0x7ff00000; if(hy>=0x7ff00000) { x = x+x; /* overflow */ return x; } if(hy<0x00100000) { volatile double u = x*x; /* underflow */ } INSERT_WORDS(x,hx,lx); return x; }