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Side by Side Diff: fusl/src/math/log1pf.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/s_log1pf.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_log1pf.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 #include "libm.h" 13 #include "libm.h"
14 14
15 static const float 15 static const float ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
16 ln2_hi = 6.9313812256e-01, /* 0x3f317180 */ 16 ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
17 ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */ 17 /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
18 /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */ 18 Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
19 Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */ 19 Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
20 Lg2 = 0xccce13.0p-25, /* 0.40000972152 */ 20 Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
21 Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */ 21 Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
22 Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
23 22
24 float log1pf(float x) 23 float log1pf(float x) {
25 { 24 union {
26 » union {float f; uint32_t i;} u = {x}; 25 float f;
27 » float_t hfsq,f,c,s,z,R,w,t1,t2,dk; 26 uint32_t i;
28 » uint32_t ix,iu; 27 } u = {x};
29 » int k; 28 float_t hfsq, f, c, s, z, R, w, t1, t2, dk;
29 uint32_t ix, iu;
30 int k;
30 31
31 » ix = u.i; 32 ix = u.i;
32 » k = 1; 33 k = 1;
33 » if (ix < 0x3ed413d0 || ix>>31) { /* 1+x < sqrt(2)+ */ 34 if (ix < 0x3ed413d0 || ix >> 31) { /* 1+x < sqrt(2)+ */
34 » » if (ix >= 0xbf800000) { /* x <= -1.0 */ 35 if (ix >= 0xbf800000) { /* x <= -1.0 */
35 » » » if (x == -1) 36 if (x == -1)
36 » » » » return x/0.0f; /* log1p(-1)=+inf */ 37 return x / 0.0f; /* log1p(-1)=+inf */
37 » » » return (x-x)/0.0f; /* log1p(x<-1)=NaN */ 38 return (x - x) / 0.0f; /* log1p(x<-1)=NaN */
38 » » } 39 }
39 » » if (ix<<1 < 0x33800000<<1) { /* |x| < 2**-24 */ 40 if (ix << 1 < 0x33800000 << 1) { /* |x| < 2**-24 */
40 » » » /* underflow if subnormal */ 41 /* underflow if subnormal */
41 » » » if ((ix&0x7f800000) == 0) 42 if ((ix & 0x7f800000) == 0)
42 » » » » FORCE_EVAL(x*x); 43 FORCE_EVAL(x * x);
43 » » » return x; 44 return x;
44 » » } 45 }
45 » » if (ix <= 0xbe95f619) { /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ 46 if (ix <= 0xbe95f619) { /* sqrt(2)/2- <= 1+x < sqrt(2)+ */
46 » » » k = 0; 47 k = 0;
47 » » » c = 0; 48 c = 0;
48 » » » f = x; 49 f = x;
49 » » } 50 }
50 » } else if (ix >= 0x7f800000) 51 } else if (ix >= 0x7f800000)
51 » » return x; 52 return x;
52 » if (k) { 53 if (k) {
53 » » u.f = 1 + x; 54 u.f = 1 + x;
54 » » iu = u.i; 55 iu = u.i;
55 » » iu += 0x3f800000 - 0x3f3504f3; 56 iu += 0x3f800000 - 0x3f3504f3;
56 » » k = (int)(iu>>23) - 0x7f; 57 k = (int)(iu >> 23) - 0x7f;
57 » » /* correction term ~ log(1+x)-log(u), avoid underflow in c/u */ 58 /* correction term ~ log(1+x)-log(u), avoid underflow in c/u */
58 » » if (k < 25) { 59 if (k < 25) {
59 » » » c = k >= 2 ? 1-(u.f-x) : x-(u.f-1); 60 c = k >= 2 ? 1 - (u.f - x) : x - (u.f - 1);
60 » » » c /= u.f; 61 c /= u.f;
61 » » } else 62 } else
62 » » » c = 0; 63 c = 0;
63 » » /* reduce u into [sqrt(2)/2, sqrt(2)] */ 64 /* reduce u into [sqrt(2)/2, sqrt(2)] */
64 » » iu = (iu&0x007fffff) + 0x3f3504f3; 65 iu = (iu & 0x007fffff) + 0x3f3504f3;
65 » » u.i = iu; 66 u.i = iu;
66 » » f = u.f - 1; 67 f = u.f - 1;
67 » } 68 }
68 » s = f/(2.0f + f); 69 s = f / (2.0f + f);
69 » z = s*s; 70 z = s * s;
70 » w = z*z; 71 w = z * z;
71 » t1= w*(Lg2+w*Lg4); 72 t1 = w * (Lg2 + w * Lg4);
72 » t2= z*(Lg1+w*Lg3); 73 t2 = z * (Lg1 + w * Lg3);
73 » R = t2 + t1; 74 R = t2 + t1;
74 » hfsq = 0.5f*f*f; 75 hfsq = 0.5f * f * f;
75 » dk = k; 76 dk = k;
76 » return s*(hfsq+R) + (dk*ln2_lo+c) - hfsq + f + dk*ln2_hi; 77 return s * (hfsq + R) + (dk * ln2_lo + c) - hfsq + f + dk * ln2_hi;
77 } 78 }
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