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

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
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1 /* origin: FreeBSD /usr/src/lib/msun/src/e_log2f.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_log2f.c */
2 /* 2 /*
3 * ==================================================== 3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 * 5 *
6 * Developed at SunPro, a Sun Microsystems, Inc. business. 6 * Developed at SunPro, a Sun Microsystems, Inc. business.
7 * Permission to use, copy, modify, and distribute this 7 * Permission to use, copy, modify, and distribute this
8 * software is freely granted, provided that this notice 8 * software is freely granted, provided that this notice
9 * is preserved. 9 * is preserved.
10 * ==================================================== 10 * ====================================================
11 */ 11 */
12 /* 12 /*
13 * See comments in log2.c. 13 * See comments in log2.c.
14 */ 14 */
15 15
16 #include <math.h> 16 #include <math.h>
17 #include <stdint.h> 17 #include <stdint.h>
18 18
19 static const float 19 static const float ivln2hi = 1.4428710938e+00, /* 0x3fb8b000 */
20 ivln2hi = 1.4428710938e+00, /* 0x3fb8b000 */ 20 ivln2lo = -1.7605285393e-04, /* 0xb9389ad4 */
21 ivln2lo = -1.7605285393e-04, /* 0xb9389ad4 */ 21 /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
22 /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */ 22 Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
23 Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */ 23 Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
24 Lg2 = 0xccce13.0p-25, /* 0.40000972152 */ 24 Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
25 Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */ 25 Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
26 Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
27 26
28 float log2f(float x) 27 float log2f(float x) {
29 { 28 union {
30 » union {float f; uint32_t i;} u = {x}; 29 float f;
31 » float_t hfsq,f,s,z,R,w,t1,t2,hi,lo; 30 uint32_t i;
32 » uint32_t ix; 31 } u = {x};
33 » int k; 32 float_t hfsq, f, s, z, R, w, t1, t2, hi, lo;
33 uint32_t ix;
34 int k;
34 35
35 » ix = u.i; 36 ix = u.i;
36 » k = 0; 37 k = 0;
37 » if (ix < 0x00800000 || ix>>31) { /* x < 2**-126 */ 38 if (ix < 0x00800000 || ix >> 31) { /* x < 2**-126 */
38 » » if (ix<<1 == 0) 39 if (ix << 1 == 0)
39 » » » return -1/(x*x); /* log(+-0)=-inf */ 40 return -1 / (x * x); /* log(+-0)=-inf */
40 » » if (ix>>31) 41 if (ix >> 31)
41 » » » return (x-x)/0.0f; /* log(-#) = NaN */ 42 return (x - x) / 0.0f; /* log(-#) = NaN */
42 » » /* subnormal number, scale up x */ 43 /* subnormal number, scale up x */
43 » » k -= 25; 44 k -= 25;
44 » » x *= 0x1p25f; 45 x *= 0x1p25f;
45 » » u.f = x; 46 u.f = x;
46 » » ix = u.i; 47 ix = u.i;
47 » } else if (ix >= 0x7f800000) { 48 } else if (ix >= 0x7f800000) {
48 » » return x; 49 return x;
49 » } else if (ix == 0x3f800000) 50 } else if (ix == 0x3f800000)
50 » » return 0; 51 return 0;
51 52
52 » /* reduce x into [sqrt(2)/2, sqrt(2)] */ 53 /* reduce x into [sqrt(2)/2, sqrt(2)] */
53 » ix += 0x3f800000 - 0x3f3504f3; 54 ix += 0x3f800000 - 0x3f3504f3;
54 » k += (int)(ix>>23) - 0x7f; 55 k += (int)(ix >> 23) - 0x7f;
55 » ix = (ix&0x007fffff) + 0x3f3504f3; 56 ix = (ix & 0x007fffff) + 0x3f3504f3;
56 » u.i = ix; 57 u.i = ix;
57 » x = u.f; 58 x = u.f;
58 59
59 » f = x - 1.0f; 60 f = x - 1.0f;
60 » s = f/(2.0f + f); 61 s = f / (2.0f + f);
61 » z = s*s; 62 z = s * s;
62 » w = z*z; 63 w = z * z;
63 » t1= w*(Lg2+w*Lg4); 64 t1 = w * (Lg2 + w * Lg4);
64 » t2= z*(Lg1+w*Lg3); 65 t2 = z * (Lg1 + w * Lg3);
65 » R = t2 + t1; 66 R = t2 + t1;
66 » hfsq = 0.5f*f*f; 67 hfsq = 0.5f * f * f;
67 68
68 » hi = f - hfsq; 69 hi = f - hfsq;
69 » u.f = hi; 70 u.f = hi;
70 » u.i &= 0xfffff000; 71 u.i &= 0xfffff000;
71 » hi = u.f; 72 hi = u.f;
72 » lo = f - hi - hfsq + s*(hfsq+R); 73 lo = f - hi - hfsq + s * (hfsq + R);
73 » return (lo+hi)*ivln2lo + lo*ivln2hi + hi*ivln2hi + k; 74 return (lo + hi) * ivln2lo + lo * ivln2hi + hi * ivln2hi + k;
74 } 75 }
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