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Side by Side Diff: fusl/src/math/sincosf.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_sinf.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */
2 /* 2 /*
3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
4 * Optimized by Bruce D. Evans. 4 * Optimized by Bruce D. Evans.
5 */ 5 */
6 /* 6 /*
7 * ==================================================== 7 * ====================================================
8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 * 9 *
10 * Developed at SunPro, a Sun Microsystems, Inc. business. 10 * Developed at SunPro, a Sun Microsystems, Inc. business.
11 * Permission to use, copy, modify, and distribute this 11 * Permission to use, copy, modify, and distribute this
12 * software is freely granted, provided that this notice 12 * software is freely granted, provided that this notice
13 * is preserved. 13 * is preserved.
14 * ==================================================== 14 * ====================================================
15 */ 15 */
16 16
17 #define _GNU_SOURCE 17 #define _GNU_SOURCE
18 #include "libm.h" 18 #include "libm.h"
19 19
20 /* Small multiples of pi/2 rounded to double precision. */ 20 /* Small multiples of pi/2 rounded to double precision. */
21 static const double 21 static const double s1pio2 = 1 * M_PI_2, /* 0x3FF921FB, 0x54442D18 */
22 s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ 22 s2pio2 = 2 * M_PI_2, /* 0x400921FB, 0x54442D18 */
23 s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ 23 s3pio2 = 3 * M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
24 s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ 24 s4pio2 = 4 * M_PI_2; /* 0x401921FB, 0x54442D18 */
25 s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
26 25
27 void sincosf(float x, float *sin, float *cos) 26 void sincosf(float x, float* sin, float* cos) {
28 { 27 double y;
29 » double y; 28 float_t s, c;
30 » float_t s, c; 29 uint32_t ix;
31 » uint32_t ix; 30 unsigned n, sign;
32 » unsigned n, sign;
33 31
34 » GET_FLOAT_WORD(ix, x); 32 GET_FLOAT_WORD(ix, x);
35 » sign = ix >> 31; 33 sign = ix >> 31;
36 » ix &= 0x7fffffff; 34 ix &= 0x7fffffff;
37 35
38 » /* |x| ~<= pi/4 */ 36 /* |x| ~<= pi/4 */
39 » if (ix <= 0x3f490fda) { 37 if (ix <= 0x3f490fda) {
40 » » /* |x| < 2**-12 */ 38 /* |x| < 2**-12 */
41 » » if (ix < 0x39800000) { 39 if (ix < 0x39800000) {
42 » » » /* raise inexact if x!=0 and underflow if subnormal */ 40 /* raise inexact if x!=0 and underflow if subnormal */
43 » » » FORCE_EVAL(ix < 0x00100000 ? x/0x1p120f : x+0x1p120f); 41 FORCE_EVAL(ix < 0x00100000 ? x / 0x1p120f : x + 0x1p120f);
44 » » » *sin = x; 42 *sin = x;
45 » » » *cos = 1.0f; 43 *cos = 1.0f;
46 » » » return; 44 return;
47 » » } 45 }
48 » » *sin = __sindf(x); 46 *sin = __sindf(x);
49 » » *cos = __cosdf(x); 47 *cos = __cosdf(x);
50 » » return; 48 return;
51 » } 49 }
52 50
53 » /* |x| ~<= 5*pi/4 */ 51 /* |x| ~<= 5*pi/4 */
54 » if (ix <= 0x407b53d1) { 52 if (ix <= 0x407b53d1) {
55 » » if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ 53 if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */
56 » » » if (sign) { 54 if (sign) {
57 » » » » *sin = -__cosdf(x + s1pio2); 55 *sin = -__cosdf(x + s1pio2);
58 » » » » *cos = __sindf(x + s1pio2); 56 *cos = __sindf(x + s1pio2);
59 » » » } else { 57 } else {
60 » » » » *sin = __cosdf(s1pio2 - x); 58 *sin = __cosdf(s1pio2 - x);
61 » » » » *cos = __sindf(s1pio2 - x); 59 *cos = __sindf(s1pio2 - x);
62 » » » } 60 }
63 » » » return; 61 return;
64 » » } 62 }
65 » » /* -sin(x+c) is not correct if x+c could be 0: -0 vs +0 */ 63 /* -sin(x+c) is not correct if x+c could be 0: -0 vs +0 */
66 » » *sin = -__sindf(sign ? x + s2pio2 : x - s2pio2); 64 *sin = -__sindf(sign ? x + s2pio2 : x - s2pio2);
67 » » *cos = -__cosdf(sign ? x + s2pio2 : x - s2pio2); 65 *cos = -__cosdf(sign ? x + s2pio2 : x - s2pio2);
68 » » return; 66 return;
69 » } 67 }
70 68
71 » /* |x| ~<= 9*pi/4 */ 69 /* |x| ~<= 9*pi/4 */
72 » if (ix <= 0x40e231d5) { 70 if (ix <= 0x40e231d5) {
73 » » if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ 71 if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */
74 » » » if (sign) { 72 if (sign) {
75 » » » » *sin = __cosdf(x + s3pio2); 73 *sin = __cosdf(x + s3pio2);
76 » » » » *cos = -__sindf(x + s3pio2); 74 *cos = -__sindf(x + s3pio2);
77 » » » } else { 75 } else {
78 » » » » *sin = -__cosdf(x - s3pio2); 76 *sin = -__cosdf(x - s3pio2);
79 » » » » *cos = __sindf(x - s3pio2); 77 *cos = __sindf(x - s3pio2);
80 » » » } 78 }
81 » » » return; 79 return;
82 » » } 80 }
83 » » *sin = __sindf(sign ? x + s4pio2 : x - s4pio2); 81 *sin = __sindf(sign ? x + s4pio2 : x - s4pio2);
84 » » *cos = __cosdf(sign ? x + s4pio2 : x - s4pio2); 82 *cos = __cosdf(sign ? x + s4pio2 : x - s4pio2);
85 » » return; 83 return;
86 » } 84 }
87 85
88 » /* sin(Inf or NaN) is NaN */ 86 /* sin(Inf or NaN) is NaN */
89 » if (ix >= 0x7f800000) { 87 if (ix >= 0x7f800000) {
90 » » *sin = *cos = x - x; 88 *sin = *cos = x - x;
91 » » return; 89 return;
92 » } 90 }
93 91
94 » /* general argument reduction needed */ 92 /* general argument reduction needed */
95 » n = __rem_pio2f(x, &y); 93 n = __rem_pio2f(x, &y);
96 » s = __sindf(y); 94 s = __sindf(y);
97 » c = __cosdf(y); 95 c = __cosdf(y);
98 » switch (n&3) { 96 switch (n & 3) {
99 » case 0: 97 case 0:
100 » » *sin = s; 98 *sin = s;
101 » » *cos = c; 99 *cos = c;
102 » » break; 100 break;
103 » case 1: 101 case 1:
104 » » *sin = c; 102 *sin = c;
105 » » *cos = -s; 103 *cos = -s;
106 » » break; 104 break;
107 » case 2: 105 case 2:
108 » » *sin = -s; 106 *sin = -s;
109 » » *cos = -c; 107 *cos = -c;
110 » » break; 108 break;
111 » case 3: 109 case 3:
112 » default: 110 default:
113 » » *sin = -c; 111 *sin = -c;
114 » » *cos = s; 112 *cos = s;
115 » » break; 113 break;
116 » } 114 }
117 } 115 }
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