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2aa62f2b 1/* @(#)e_fmod.c 5.1 93/09/24 */\r
2/*\r
3 * ====================================================\r
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.\r
5 *\r
6 * Developed at SunPro, a Sun Microsystems, Inc. business.\r
7 * Permission to use, copy, modify, and distribute this\r
8 * software is freely granted, provided that this notice\r
9 * is preserved.\r
10 * ====================================================\r
11 */\r
12#include <LibConfig.h>\r
13#include <sys/EfiCdefs.h>\r
14#if defined(LIBM_SCCS) && !defined(lint)\r
15__RCSID("$NetBSD: e_fmod.c,v 1.11 2002/05/26 22:01:49 wiz Exp $");\r
16#endif\r
17\r
18/*\r
19 * __ieee754_fmod(x,y)\r
20 * Return x mod y in exact arithmetic\r
21 * Method: shift and subtract\r
22 */\r
23\r
24#include "math.h"\r
25#include "math_private.h"\r
26\r
27#if defined(_MSC_VER) /* Handle Microsoft VC++ compiler specifics. */\r
28 // unary minus operator applied to unsigned type, result still unsigned\r
29 #pragma warning ( disable : 4146 )\r
30#endif\r
31\r
32static const double one = 1.0, Zero[] = {0.0, -0.0,};\r
33\r
34double\r
35__ieee754_fmod(double x, double y)\r
36{\r
37 int32_t n,hx,hy,hz,ix,iy,sx,i;\r
38 u_int32_t lx,ly,lz;\r
39\r
40 EXTRACT_WORDS(hx,lx,x);\r
41 EXTRACT_WORDS(hy,ly,y);\r
42 sx = hx&0x80000000; /* sign of x */\r
43 hx ^=sx; /* |x| */\r
44 hy &= 0x7fffffff; /* |y| */\r
45\r
46 /* purge off exception values */\r
47 if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */\r
48 ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */\r
49 return (x*y)/(x*y);\r
50 if(hx<=hy) {\r
51 if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */\r
52 if(lx==ly)\r
53 return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/\r
54 }\r
55\r
56 /* determine ix = ilogb(x) */\r
57 if(hx<0x00100000) { /* subnormal x */\r
58 if(hx==0) {\r
59 for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;\r
60 } else {\r
61 for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;\r
62 }\r
63 } else ix = (hx>>20)-1023;\r
64\r
65 /* determine iy = ilogb(y) */\r
66 if(hy<0x00100000) { /* subnormal y */\r
67 if(hy==0) {\r
68 for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;\r
69 } else {\r
70 for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;\r
71 }\r
72 } else iy = (hy>>20)-1023;\r
73\r
74 /* set up {hx,lx}, {hy,ly} and align y to x */\r
75 if(ix >= -1022)\r
76 hx = 0x00100000|(0x000fffff&hx);\r
77 else { /* subnormal x, shift x to normal */\r
78 n = -1022-ix;\r
79 if(n<=31) {\r
80 hx = (hx<<n)|(lx>>(32-n));\r
81 lx <<= n;\r
82 } else {\r
83 hx = lx<<(n-32);\r
84 lx = 0;\r
85 }\r
86 }\r
87 if(iy >= -1022)\r
88 hy = 0x00100000|(0x000fffff&hy);\r
89 else { /* subnormal y, shift y to normal */\r
90 n = -1022-iy;\r
91 if(n<=31) {\r
92 hy = (hy<<n)|(ly>>(32-n));\r
93 ly <<= n;\r
94 } else {\r
95 hy = ly<<(n-32);\r
96 ly = 0;\r
97 }\r
98 }\r
99\r
100 /* fix point fmod */\r
101 n = ix - iy;\r
102 while(n--) {\r
103 hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;\r
104 if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}\r
105 else {\r
106 if((hz|lz)==0) /* return sign(x)*0 */\r
107 return Zero[(u_int32_t)sx>>31];\r
108 hx = hz+hz+(lz>>31); lx = lz+lz;\r
109 }\r
110 }\r
111 hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;\r
112 if(hz>=0) {hx=hz;lx=lz;}\r
113\r
114 /* convert back to floating value and restore the sign */\r
115 if((hx|lx)==0) /* return sign(x)*0 */\r
116 return Zero[(u_int32_t)sx>>31];\r
117 while(hx<0x00100000) { /* normalize x */\r
118 hx = hx+hx+(lx>>31); lx = lx+lx;\r
119 iy -= 1;\r
120 }\r
121 if(iy>= -1022) { /* normalize output */\r
122 hx = ((hx-0x00100000)|((iy+1023)<<20));\r
123 INSERT_WORDS(x,hx|sx,lx);\r
124 } else { /* subnormal output */\r
125 n = -1022 - iy;\r
126 if(n<=20) {\r
127 lx = (lx>>n)|((u_int32_t)hx<<(32-n));\r
128 hx >>= n;\r
129 } else if (n<=31) {\r
130 lx = (hx<<(32-n))|(lx>>n); hx = sx;\r
131 } else {\r
132 lx = hx>>(n-32); hx = sx;\r
133 }\r
134 INSERT_WORDS(x,hx|sx,lx);\r
135 x *= one; /* create necessary signal */\r
136 }\r
137 return x; /* exact output */\r
138}\r