| xf.li | bdd93d5 | 2023-05-12 07:10:14 -0700 | [diff] [blame] | 1 | /* @(#)s_nextafter.c 5.1 93/09/24 */ |
| 2 | /* |
| 3 | * ==================================================== |
| 4 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 5 | * |
| 6 | * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 7 | * Permission to use, copy, modify, and distribute this |
| 8 | * software is freely granted, provided that this notice |
| 9 | * is preserved. |
| 10 | * ==================================================== |
| 11 | */ |
| 12 | |
| 13 | #if defined(LIBM_SCCS) && !defined(lint) |
| 14 | static char rcsid[] = "$NetBSD: s_nextafter.c,v 1.8 1995/05/10 20:47:58 jtc Exp $"; |
| 15 | #endif |
| 16 | |
| 17 | /* IEEE functions |
| 18 | * nextafter(x,y) |
| 19 | * return the next machine floating-point number of x in the |
| 20 | * direction toward y. |
| 21 | * Special cases: |
| 22 | */ |
| 23 | |
| 24 | /* Ugly hack so that the aliasing works. */ |
| 25 | #define __nexttoward __internal___nexttoward |
| 26 | #define nexttoward __internal_nexttoward |
| 27 | |
| 28 | #include <errno.h> |
| 29 | #include <math.h> |
| 30 | #include <math_private.h> |
| 31 | #include <float.h> |
| 32 | |
| 33 | double __nextafter(double x, double y) |
| 34 | { |
| 35 | int32_t hx,hy,ix,iy; |
| 36 | u_int32_t lx,ly; |
| 37 | |
| 38 | EXTRACT_WORDS(hx,lx,x); |
| 39 | EXTRACT_WORDS(hy,ly,y); |
| 40 | ix = hx&0x7fffffff; /* |x| */ |
| 41 | iy = hy&0x7fffffff; /* |y| */ |
| 42 | |
| 43 | if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */ |
| 44 | ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */ |
| 45 | return x+y; |
| 46 | if(x==y) return y; /* x=y, return y */ |
| 47 | if((ix|lx)==0) { /* x == 0 */ |
| 48 | double u; |
| 49 | INSERT_WORDS(x,hy&0x80000000,1); /* return +-minsubnormal */ |
| 50 | u = math_opt_barrier (x); |
| 51 | u = u*u; |
| 52 | math_force_eval (u); /* raise underflow flag */ |
| 53 | return x; |
| 54 | } |
| 55 | if(hx>=0) { /* x > 0 */ |
| 56 | if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */ |
| 57 | if(lx==0) hx -= 1; |
| 58 | lx -= 1; |
| 59 | } else { /* x < y, x += ulp */ |
| 60 | lx += 1; |
| 61 | if(lx==0) hx += 1; |
| 62 | } |
| 63 | } else { /* x < 0 */ |
| 64 | if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */ |
| 65 | if(lx==0) hx -= 1; |
| 66 | lx -= 1; |
| 67 | } else { /* x > y, x += ulp */ |
| 68 | lx += 1; |
| 69 | if(lx==0) hx += 1; |
| 70 | } |
| 71 | } |
| 72 | hy = hx&0x7ff00000; |
| 73 | if(hy>=0x7ff00000) { |
| 74 | double u = x+x; /* overflow */ |
| 75 | math_force_eval (u); |
| 76 | __set_errno (ERANGE); |
| 77 | } |
| 78 | if(hy<0x00100000) { |
| 79 | double u = x*x; /* underflow */ |
| 80 | math_force_eval (u); /* raise underflow flag */ |
| 81 | __set_errno (ERANGE); |
| 82 | } |
| 83 | INSERT_WORDS(x,hx,lx); |
| 84 | return x; |
| 85 | } |
| 86 | weak_alias (__nextafter, nextafter) |
| 87 | #ifdef NO_LONG_DOUBLE |
| 88 | strong_alias (__nextafter, __nextafterl) |
| 89 | weak_alias (__nextafter, nextafterl) |
| 90 | strong_alias (__nextafter, __nexttowardl) |
| 91 | weak_alias (__nexttowardl, nexttowardl) |
| 92 | #undef __nexttoward |
| 93 | strong_alias (__nextafter, __nexttoward) |
| 94 | #undef nexttoward |
| 95 | weak_alias (__nextafter, nexttoward) |
| 96 | #endif |