/* @(#)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. * ==================================================== */ /* FUNCTION <>, <>---get next number INDEX nextafter INDEX nextafterf SYNOPSIS #include double nextafter(double <[val]>, double <[dir]>); float nextafterf(float <[val]>, float <[dir]>); DESCRIPTION <> returns the double-precision floating-point number closest to <[val]> in the direction toward <[dir]>. <> performs the same operation in single precision. For example, <> returns the smallest positive number which is representable in double precision. RETURNS Returns the next closest number to <[val]> in the direction toward <[dir]>. PORTABILITY Neither <> nor <> is required by ANSI C or by the System V Interface Definition (Issue 2). */ /* IEEE functions * nextafter(x,y) * return the next machine floating-point number of x in the * direction toward y. * Special cases: */ #include "fdlibm.h" #ifdef _NEED_FLOAT64 __float64 nextafter64(__float64 x, __float64 y) { __int32_t hx,hy,ix,iy; __uint32_t lx,ly; EXTRACT_WORDS(hx,lx,x); EXTRACT_WORDS(hy,ly,y); ix = hx&0x7fffffff; /* |x| */ iy = hy&0x7fffffff; /* |y| */ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */ ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */ return x+y; if(x==y) return y; /* x=y, return y (follow y sign for 0) */ if((ix|lx)==0) { /* x == 0 */ INSERT_WORDS(x,hy&0x80000000,1); /* return +-minsubnormal */ force_eval_float64(opt_barrier_float64(x)*x); return x; } if(hx>=0) { /* x > 0 */ if(hx>hy||((hx==hy)&&(lx>ly))) { /* 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||hx>hy||((hx==hy)&&(lx>ly))){/* 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) return __math_oflow(hx<0); /* overflow */ INSERT_WORDS(x,hx,lx); if(hy<0x00100000) /* underflow */ return __math_denorm(x); return (x); } _MATH_ALIAS_d_dd(nextafter) #endif /* _NEED_FLOAT64 */