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e_pow.c (176276) e_pow.c (226595)
1/* @(#)e_pow.c 1.5 04/04/22 SMI */
2/*
3 * ====================================================
4 * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
5 *
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
8 * is preserved.
9 * ====================================================
10 */
11
12#include <sys/cdefs.h>
1/* @(#)e_pow.c 1.5 04/04/22 SMI */
2/*
3 * ====================================================
4 * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
5 *
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
8 * is preserved.
9 * ====================================================
10 */
11
12#include <sys/cdefs.h>
13__FBSDID("$FreeBSD: head/lib/msun/src/e_pow.c 176266 2008-02-14 09:42:24Z bde $");
13__FBSDID("$FreeBSD: head/lib/msun/src/e_pow.c 226595 2011-10-21 06:26:07Z das $");
14
15/* __ieee754_pow(x,y) return x**y
16 *
17 * n
18 * Method: Let x = 2 * (1+f)
19 * 1. Compute and return log2(x) in two pieces:
20 * log2(x) = w1 + w2,
21 * where w1 has 53-24 = 29 bit trailing zeros.

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104
105 EXTRACT_WORDS(hx,lx,x);
106 EXTRACT_WORDS(hy,ly,y);
107 ix = hx&0x7fffffff; iy = hy&0x7fffffff;
108
109 /* y==zero: x**0 = 1 */
110 if((iy|ly)==0) return one;
111
14
15/* __ieee754_pow(x,y) return x**y
16 *
17 * n
18 * Method: Let x = 2 * (1+f)
19 * 1. Compute and return log2(x) in two pieces:
20 * log2(x) = w1 + w2,
21 * where w1 has 53-24 = 29 bit trailing zeros.

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104
105 EXTRACT_WORDS(hx,lx,x);
106 EXTRACT_WORDS(hy,ly,y);
107 ix = hx&0x7fffffff; iy = hy&0x7fffffff;
108
109 /* y==zero: x**0 = 1 */
110 if((iy|ly)==0) return one;
111
112 /* x==1: 1**y = 1, even if y is NaN */
113 if (hx==0x3ff00000 && lx == 0) return one;
114
112 /* y!=zero: result is NaN if either arg is NaN */
113 if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
114 iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
115 return (x+0.0)+(y+0.0);
116
117 /* determine if y is an odd int when x < 0
118 * yisint = 0 ... y is not an integer
119 * yisint = 1 ... y is an odd int

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133 }
134 }
135 }
136
137 /* special value of y */
138 if(ly==0) {
139 if (iy==0x7ff00000) { /* y is +-inf */
140 if(((ix-0x3ff00000)|lx)==0)
115 /* y!=zero: result is NaN if either arg is NaN */
116 if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
117 iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
118 return (x+0.0)+(y+0.0);
119
120 /* determine if y is an odd int when x < 0
121 * yisint = 0 ... y is not an integer
122 * yisint = 1 ... y is an odd int

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136 }
137 }
138 }
139
140 /* special value of y */
141 if(ly==0) {
142 if (iy==0x7ff00000) { /* y is +-inf */
143 if(((ix-0x3ff00000)|lx)==0)
141 return y - y; /* inf**+-1 is NaN */
144 return one; /* (-1)**+-inf is NaN */
142 else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */
143 return (hy>=0)? y: zero;
144 else /* (|x|<1)**-,+inf = inf,0 */
145 return (hy<0)?-y: zero;
146 }
147 if(iy==0x3ff00000) { /* y is +-1 */
148 if(hy<0) return one/x; else return x;
149 }

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145 else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */
146 return (hy>=0)? y: zero;
147 else /* (|x|<1)**-,+inf = inf,0 */
148 return (hy<0)?-y: zero;
149 }
150 if(iy==0x3ff00000) { /* y is +-1 */
151 if(hy<0) return one/x; else return x;
152 }

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