| 1 | /* s_nexttoward.c |
| 2 | * Conversion from s_nextafter.c by Ulrich Drepper, Cygnus Support, |
| 3 | * drepper@cygnus.com and Jakub Jelinek, jj@ultra.linux.cz. |
| 4 | */ |
| 5 | |
| 6 | /* |
| 7 | * ==================================================== |
| 8 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 9 | * |
| 10 | * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 11 | * Permission to use, copy, modify, and distribute this |
| 12 | * software is freely granted, provided that this notice |
| 13 | * is preserved. |
| 14 | * ==================================================== |
| 15 | */ |
| 16 | |
| 17 | #if defined(LIBM_SCCS) && !defined(lint) |
| 18 | static char rcsid[] = "$NetBSD: $" ; |
| 19 | #endif |
| 20 | |
| 21 | /* IEEE functions |
| 22 | * nexttoward(x,y) |
| 23 | * return the next machine floating-point number of x in the |
| 24 | * direction toward y. |
| 25 | * Special cases: |
| 26 | */ |
| 27 | |
| 28 | #include <errno.h> |
| 29 | #include <math.h> |
| 30 | #include <math-barriers.h> |
| 31 | #include <math_private.h> |
| 32 | #include <math_ldbl_opt.h> |
| 33 | #include <float.h> |
| 34 | |
| 35 | double __nexttoward(double x, long double y) |
| 36 | { |
| 37 | int32_t hx,ix; |
| 38 | int64_t hy,iy; |
| 39 | uint32_t lx; |
| 40 | double yhi; |
| 41 | |
| 42 | EXTRACT_WORDS(hx,lx,x); |
| 43 | yhi = ldbl_high (y); |
| 44 | EXTRACT_WORDS64(hy,yhi); |
| 45 | ix = hx&0x7fffffff; /* |x| */ |
| 46 | iy = hy&0x7fffffffffffffffLL; /* |y| */ |
| 47 | |
| 48 | if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */ |
| 49 | iy>0x7ff0000000000000LL) /* y is nan */ |
| 50 | return x+y; |
| 51 | if((long double) x==y) return y; /* x=y, return y */ |
| 52 | if((ix|lx)==0) { /* x == 0 */ |
| 53 | double u; |
| 54 | INSERT_WORDS(x,(uint32_t)((hy>>32)&0x80000000),1);/* return +-minsub */ |
| 55 | u = math_opt_barrier (x); |
| 56 | u = u * u; |
| 57 | math_force_eval (u); /* raise underflow flag */ |
| 58 | return x; |
| 59 | } |
| 60 | if(hx>=0) { /* x > 0 */ |
| 61 | if (x > y) { /* x > 0 */ |
| 62 | if(lx==0) hx -= 1; |
| 63 | lx -= 1; |
| 64 | } else { /* x < y, x += ulp */ |
| 65 | lx += 1; |
| 66 | if(lx==0) hx += 1; |
| 67 | } |
| 68 | } else { /* x < 0 */ |
| 69 | if (x < y) { /* x < 0 */ |
| 70 | if(lx==0) hx -= 1; |
| 71 | lx -= 1; |
| 72 | } else { /* x > y, x += ulp */ |
| 73 | lx += 1; |
| 74 | if(lx==0) hx += 1; |
| 75 | } |
| 76 | } |
| 77 | hy = hx&0x7ff00000; |
| 78 | if(hy>=0x7ff00000) { |
| 79 | double u = x+x; /* overflow */ |
| 80 | math_force_eval (u); |
| 81 | __set_errno (ERANGE); |
| 82 | } |
| 83 | if(hy<0x00100000) { |
| 84 | double u = x*x; /* underflow */ |
| 85 | math_force_eval (u); /* raise underflow flag */ |
| 86 | __set_errno (ERANGE); |
| 87 | } |
| 88 | INSERT_WORDS(x,hx,lx); |
| 89 | return x; |
| 90 | } |
| 91 | long_double_symbol (libm, __nexttoward, nexttoward); |
| 92 | |