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Side by Side Diff: fusl/src/math/atan2.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_atan2.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_atan2.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 SunSoft, a Sun Microsystems, Inc. business. 6 * Developed at SunSoft, 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 * ====================================================
(...skipping 21 matching lines...) Expand all
32 * 32 *
33 * Constants: 33 * Constants:
34 * The hexadecimal values are the intended ones for the following 34 * The hexadecimal values are the intended ones for the following
35 * constants. The decimal values may be used, provided that the 35 * constants. The decimal values may be used, provided that the
36 * compiler will convert from decimal to binary accurately enough 36 * compiler will convert from decimal to binary accurately enough
37 * to produce the hexadecimal values shown. 37 * to produce the hexadecimal values shown.
38 */ 38 */
39 39
40 #include "libm.h" 40 #include "libm.h"
41 41
42 static const double 42 static const double pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */
43 pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */ 43 pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
44 pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
45 44
46 double atan2(double y, double x) 45 double atan2(double y, double x) {
47 { 46 double z;
48 » double z; 47 uint32_t m, lx, ly, ix, iy;
49 » uint32_t m,lx,ly,ix,iy;
50 48
51 » if (isnan(x) || isnan(y)) 49 if (isnan(x) || isnan(y))
52 » » return x+y; 50 return x + y;
53 » EXTRACT_WORDS(ix, lx, x); 51 EXTRACT_WORDS(ix, lx, x);
54 » EXTRACT_WORDS(iy, ly, y); 52 EXTRACT_WORDS(iy, ly, y);
55 » if ((ix-0x3ff00000 | lx) == 0) /* x = 1.0 */ 53 if ((ix - 0x3ff00000 | lx) == 0) /* x = 1.0 */
56 » » return atan(y); 54 return atan(y);
57 » m = ((iy>>31)&1) | ((ix>>30)&2); /* 2*sign(x)+sign(y) */ 55 m = ((iy >> 31) & 1) | ((ix >> 30) & 2); /* 2*sign(x)+sign(y) */
58 » ix = ix & 0x7fffffff; 56 ix = ix & 0x7fffffff;
59 » iy = iy & 0x7fffffff; 57 iy = iy & 0x7fffffff;
60 58
61 » /* when y = 0 */ 59 /* when y = 0 */
62 » if ((iy|ly) == 0) { 60 if ((iy | ly) == 0) {
63 » » switch(m) { 61 switch (m) {
64 » » case 0: 62 case 0:
65 » » case 1: return y; /* atan(+-0,+anything)=+-0 */ 63 case 1:
66 » » case 2: return pi; /* atan(+0,-anything) = pi */ 64 return y; /* atan(+-0,+anything)=+-0 */
67 » » case 3: return -pi; /* atan(-0,-anything) =-pi */ 65 case 2:
68 » » } 66 return pi; /* atan(+0,-anything) = pi */
69 » } 67 case 3:
70 » /* when x = 0 */ 68 return -pi; /* atan(-0,-anything) =-pi */
71 » if ((ix|lx) == 0) 69 }
72 » » return m&1 ? -pi/2 : pi/2; 70 }
73 » /* when x is INF */ 71 /* when x = 0 */
74 » if (ix == 0x7ff00000) { 72 if ((ix | lx) == 0)
75 » » if (iy == 0x7ff00000) { 73 return m & 1 ? -pi / 2 : pi / 2;
76 » » » switch(m) { 74 /* when x is INF */
77 » » » case 0: return pi/4; /* atan(+INF,+INF) */ 75 if (ix == 0x7ff00000) {
78 » » » case 1: return -pi/4; /* atan(-INF,+INF) */ 76 if (iy == 0x7ff00000) {
79 » » » case 2: return 3*pi/4; /* atan(+INF,-INF) */ 77 switch (m) {
80 » » » case 3: return -3*pi/4; /* atan(-INF,-INF) */ 78 case 0:
81 » » » } 79 return pi / 4; /* atan(+INF,+INF) */
82 » » } else { 80 case 1:
83 » » » switch(m) { 81 return -pi / 4; /* atan(-INF,+INF) */
84 » » » case 0: return 0.0; /* atan(+...,+INF) */ 82 case 2:
85 » » » case 1: return -0.0; /* atan(-...,+INF) */ 83 return 3 * pi / 4; /* atan(+INF,-INF) */
86 » » » case 2: return pi; /* atan(+...,-INF) */ 84 case 3:
87 » » » case 3: return -pi; /* atan(-...,-INF) */ 85 return -3 * pi / 4; /* atan(-INF,-INF) */
88 » » » } 86 }
89 » » } 87 } else {
90 » } 88 switch (m) {
91 » /* |y/x| > 0x1p64 */ 89 case 0:
92 » if (ix+(64<<20) < iy || iy == 0x7ff00000) 90 return 0.0; /* atan(+...,+INF) */
93 » » return m&1 ? -pi/2 : pi/2; 91 case 1:
92 return -0.0; /* atan(-...,+INF) */
93 case 2:
94 return pi; /* atan(+...,-INF) */
95 case 3:
96 return -pi; /* atan(-...,-INF) */
97 }
98 }
99 }
100 /* |y/x| > 0x1p64 */
101 if (ix + (64 << 20) < iy || iy == 0x7ff00000)
102 return m & 1 ? -pi / 2 : pi / 2;
94 103
95 » /* z = atan(|y/x|) without spurious underflow */ 104 /* z = atan(|y/x|) without spurious underflow */
96 » if ((m&2) && iy+(64<<20) < ix) /* |y/x| < 0x1p-64, x<0 */ 105 if ((m & 2) && iy + (64 << 20) < ix) /* |y/x| < 0x1p-64, x<0 */
97 » » z = 0; 106 z = 0;
98 » else 107 else
99 » » z = atan(fabs(y/x)); 108 z = atan(fabs(y / x));
100 » switch (m) { 109 switch (m) {
101 » case 0: return z; /* atan(+,+) */ 110 case 0:
102 » case 1: return -z; /* atan(-,+) */ 111 return z; /* atan(+,+) */
103 » case 2: return pi - (z-pi_lo); /* atan(+,-) */ 112 case 1:
104 » default: /* case 3 */ 113 return -z; /* atan(-,+) */
105 » » return (z-pi_lo) - pi; /* atan(-,-) */ 114 case 2:
106 » } 115 return pi - (z - pi_lo); /* atan(+,-) */
116 default: /* case 3 */
117 return (z - pi_lo) - pi; /* atan(-,-) */
118 }
107 } 119 }
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