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Side by Side Diff: fusl/src/math/log2f.c

Issue 1573973002: Add a "fork" of musl as //fusl. (Closed) Base URL: https://github.com/domokit/mojo.git@master
Patch Set: Created 4 years, 11 months ago
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1 /* origin: FreeBSD /usr/src/lib/msun/src/e_log2f.c */
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 * See comments in log2.c.
14 */
15
16 #include <math.h>
17 #include <stdint.h>
18
19 static const float
20 ivln2hi = 1.4428710938e+00, /* 0x3fb8b000 */
21 ivln2lo = -1.7605285393e-04, /* 0xb9389ad4 */
22 /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
23 Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
24 Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
25 Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
26 Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
27
28 float log2f(float x)
29 {
30 union {float f; uint32_t i;} u = {x};
31 float_t hfsq,f,s,z,R,w,t1,t2,hi,lo;
32 uint32_t ix;
33 int k;
34
35 ix = u.i;
36 k = 0;
37 if (ix < 0x00800000 || ix>>31) { /* x < 2**-126 */
38 if (ix<<1 == 0)
39 return -1/(x*x); /* log(+-0)=-inf */
40 if (ix>>31)
41 return (x-x)/0.0f; /* log(-#) = NaN */
42 /* subnormal number, scale up x */
43 k -= 25;
44 x *= 0x1p25f;
45 u.f = x;
46 ix = u.i;
47 } else if (ix >= 0x7f800000) {
48 return x;
49 } else if (ix == 0x3f800000)
50 return 0;
51
52 /* reduce x into [sqrt(2)/2, sqrt(2)] */
53 ix += 0x3f800000 - 0x3f3504f3;
54 k += (int)(ix>>23) - 0x7f;
55 ix = (ix&0x007fffff) + 0x3f3504f3;
56 u.i = ix;
57 x = u.f;
58
59 f = x - 1.0f;
60 s = f/(2.0f + f);
61 z = s*s;
62 w = z*z;
63 t1= w*(Lg2+w*Lg4);
64 t2= z*(Lg1+w*Lg3);
65 R = t2 + t1;
66 hfsq = 0.5f*f*f;
67
68 hi = f - hfsq;
69 u.f = hi;
70 u.i &= 0xfffff000;
71 hi = u.f;
72 lo = f - hi - hfsq + s*(hfsq+R);
73 return (lo+hi)*ivln2lo + lo*ivln2hi + hi*ivln2hi + k;
74 }
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