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Side by Side Diff: fusl/src/complex/ccosh.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_ccosh.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_ccosh.c */
2 /*- 2 /*-
3 * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl 3 * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
4 * All rights reserved. 4 * All rights reserved.
5 * 5 *
6 * Redistribution and use in source and binary forms, with or without 6 * Redistribution and use in source and binary forms, with or without
7 * modification, are permitted provided that the following conditions 7 * modification, are permitted provided that the following conditions
8 * are met: 8 * are met:
9 * 1. Redistributions of source code must retain the above copyright 9 * 1. Redistributions of source code must retain the above copyright
10 * notice unmodified, this list of conditions, and the following 10 * notice unmodified, this list of conditions, and the following
(...skipping 20 matching lines...) Expand all
31 * = cosh(x) cos(y) + i sinh(x) sin(y). 31 * = cosh(x) cos(y) + i sinh(x) sin(y).
32 * 32 *
33 * Exceptional values are noted in the comments within the source code. 33 * Exceptional values are noted in the comments within the source code.
34 * These values and the return value were taken from n1124.pdf. 34 * These values and the return value were taken from n1124.pdf.
35 */ 35 */
36 36
37 #include "libm.h" 37 #include "libm.h"
38 38
39 static const double huge = 0x1p1023; 39 static const double huge = 0x1p1023;
40 40
41 double complex ccosh(double complex z) 41 double complex ccosh(double complex z) {
42 { 42 double x, y, h;
43 » double x, y, h; 43 int32_t hx, hy, ix, iy, lx, ly;
44 » int32_t hx, hy, ix, iy, lx, ly;
45 44
46 » x = creal(z); 45 x = creal(z);
47 » y = cimag(z); 46 y = cimag(z);
48 47
49 » EXTRACT_WORDS(hx, lx, x); 48 EXTRACT_WORDS(hx, lx, x);
50 » EXTRACT_WORDS(hy, ly, y); 49 EXTRACT_WORDS(hy, ly, y);
51 50
52 » ix = 0x7fffffff & hx; 51 ix = 0x7fffffff & hx;
53 » iy = 0x7fffffff & hy; 52 iy = 0x7fffffff & hy;
54 53
55 » /* Handle the nearly-non-exceptional cases where x and y are finite. */ 54 /* Handle the nearly-non-exceptional cases where x and y are finite. */
56 » if (ix < 0x7ff00000 && iy < 0x7ff00000) { 55 if (ix < 0x7ff00000 && iy < 0x7ff00000) {
57 » » if ((iy | ly) == 0) 56 if ((iy | ly) == 0)
58 » » » return CMPLX(cosh(x), x * y); 57 return CMPLX(cosh(x), x * y);
59 » » if (ix < 0x40360000) /* small x: normal case */ 58 if (ix < 0x40360000) /* small x: normal case */
60 » » » return CMPLX(cosh(x) * cos(y), sinh(x) * sin(y)); 59 return CMPLX(cosh(x) * cos(y), sinh(x) * sin(y));
61 60
62 » » /* |x| >= 22, so cosh(x) ~= exp(|x|) */ 61 /* |x| >= 22, so cosh(x) ~= exp(|x|) */
63 » » if (ix < 0x40862e42) { 62 if (ix < 0x40862e42) {
64 » » » /* x < 710: exp(|x|) won't overflow */ 63 /* x < 710: exp(|x|) won't overflow */
65 » » » h = exp(fabs(x)) * 0.5; 64 h = exp(fabs(x)) * 0.5;
66 » » » return CMPLX(h * cos(y), copysign(h, x) * sin(y)); 65 return CMPLX(h * cos(y), copysign(h, x) * sin(y));
67 » » } else if (ix < 0x4096bbaa) { 66 } else if (ix < 0x4096bbaa) {
68 » » » /* x < 1455: scale to avoid overflow */ 67 /* x < 1455: scale to avoid overflow */
69 » » » z = __ldexp_cexp(CMPLX(fabs(x), y), -1); 68 z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
70 » » » return CMPLX(creal(z), cimag(z) * copysign(1, x)); 69 return CMPLX(creal(z), cimag(z) * copysign(1, x));
71 » » } else { 70 } else {
72 » » » /* x >= 1455: the result always overflows */ 71 /* x >= 1455: the result always overflows */
73 » » » h = huge * x; 72 h = huge * x;
74 » » » return CMPLX(h * h * cos(y), h * sin(y)); 73 return CMPLX(h * h * cos(y), h * sin(y));
75 » » } 74 }
76 » } 75 }
77 76
78 » /* 77 /*
79 » * cosh(+-0 +- I Inf) = dNaN + I sign(d(+-0, dNaN))0. 78 * cosh(+-0 +- I Inf) = dNaN + I sign(d(+-0, dNaN))0.
80 » * The sign of 0 in the result is unspecified. Choice = normally 79 * The sign of 0 in the result is unspecified. Choice = normally
81 » * the same as dNaN. Raise the invalid floating-point exception. 80 * the same as dNaN. Raise the invalid floating-point exception.
82 » * 81 *
83 » * cosh(+-0 +- I NaN) = d(NaN) + I sign(d(+-0, NaN))0. 82 * cosh(+-0 +- I NaN) = d(NaN) + I sign(d(+-0, NaN))0.
84 » * The sign of 0 in the result is unspecified. Choice = normally 83 * The sign of 0 in the result is unspecified. Choice = normally
85 » * the same as d(NaN). 84 * the same as d(NaN).
86 » */ 85 */
87 » if ((ix | lx) == 0 && iy >= 0x7ff00000) 86 if ((ix | lx) == 0 && iy >= 0x7ff00000)
88 » » return CMPLX(y - y, copysign(0, x * (y - y))); 87 return CMPLX(y - y, copysign(0, x * (y - y)));
89 88
90 » /* 89 /*
91 » * cosh(+-Inf +- I 0) = +Inf + I (+-)(+-)0. 90 * cosh(+-Inf +- I 0) = +Inf + I (+-)(+-)0.
92 » * 91 *
93 » * cosh(NaN +- I 0) = d(NaN) + I sign(d(NaN, +-0))0. 92 * cosh(NaN +- I 0) = d(NaN) + I sign(d(NaN, +-0))0.
94 » * The sign of 0 in the result is unspecified. 93 * The sign of 0 in the result is unspecified.
95 » */ 94 */
96 » if ((iy | ly) == 0 && ix >= 0x7ff00000) { 95 if ((iy | ly) == 0 && ix >= 0x7ff00000) {
97 » » if (((hx & 0xfffff) | lx) == 0) 96 if (((hx & 0xfffff) | lx) == 0)
98 » » » return CMPLX(x * x, copysign(0, x) * y); 97 return CMPLX(x * x, copysign(0, x) * y);
99 » » return CMPLX(x * x, copysign(0, (x + x) * y)); 98 return CMPLX(x * x, copysign(0, (x + x) * y));
100 » } 99 }
101 100
102 » /* 101 /*
103 » * cosh(x +- I Inf) = dNaN + I dNaN. 102 * cosh(x +- I Inf) = dNaN + I dNaN.
104 » * Raise the invalid floating-point exception for finite nonzero x. 103 * Raise the invalid floating-point exception for finite nonzero x.
105 » * 104 *
106 » * cosh(x + I NaN) = d(NaN) + I d(NaN). 105 * cosh(x + I NaN) = d(NaN) + I d(NaN).
107 » * Optionally raises the invalid floating-point exception for finite 106 * Optionally raises the invalid floating-point exception for finite
108 » * nonzero x. Choice = don't raise (except for signaling NaNs). 107 * nonzero x. Choice = don't raise (except for signaling NaNs).
109 » */ 108 */
110 » if (ix < 0x7ff00000 && iy >= 0x7ff00000) 109 if (ix < 0x7ff00000 && iy >= 0x7ff00000)
111 » » return CMPLX(y - y, x * (y - y)); 110 return CMPLX(y - y, x * (y - y));
112 111
113 » /* 112 /*
114 » * cosh(+-Inf + I NaN) = +Inf + I d(NaN). 113 * cosh(+-Inf + I NaN) = +Inf + I d(NaN).
115 » * 114 *
116 » * cosh(+-Inf +- I Inf) = +Inf + I dNaN. 115 * cosh(+-Inf +- I Inf) = +Inf + I dNaN.
117 » * The sign of Inf in the result is unspecified. Choice = always +. 116 * The sign of Inf in the result is unspecified. Choice = always +.
118 » * Raise the invalid floating-point exception. 117 * Raise the invalid floating-point exception.
119 » * 118 *
120 » * cosh(+-Inf + I y) = +Inf cos(y) +- I Inf sin(y) 119 * cosh(+-Inf + I y) = +Inf cos(y) +- I Inf sin(y)
121 » */ 120 */
122 » if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) { 121 if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
123 » » if (iy >= 0x7ff00000) 122 if (iy >= 0x7ff00000)
124 » » » return CMPLX(x * x, x * (y - y)); 123 return CMPLX(x * x, x * (y - y));
125 » » return CMPLX((x * x) * cos(y), x * sin(y)); 124 return CMPLX((x * x) * cos(y), x * sin(y));
126 » } 125 }
127 126
128 » /* 127 /*
129 » * cosh(NaN + I NaN) = d(NaN) + I d(NaN). 128 * cosh(NaN + I NaN) = d(NaN) + I d(NaN).
130 » * 129 *
131 » * cosh(NaN +- I Inf) = d(NaN) + I d(NaN). 130 * cosh(NaN +- I Inf) = d(NaN) + I d(NaN).
132 » * Optionally raises the invalid floating-point exception. 131 * Optionally raises the invalid floating-point exception.
133 » * Choice = raise. 132 * Choice = raise.
134 » * 133 *
135 » * cosh(NaN + I y) = d(NaN) + I d(NaN). 134 * cosh(NaN + I y) = d(NaN) + I d(NaN).
136 » * Optionally raises the invalid floating-point exception for finite 135 * Optionally raises the invalid floating-point exception for finite
137 » * nonzero y. Choice = don't raise (except for signaling NaNs). 136 * nonzero y. Choice = don't raise (except for signaling NaNs).
138 » */ 137 */
139 » return CMPLX((x * x) * (y - y), (x + x) * (y - y)); 138 return CMPLX((x * x) * (y - y), (x + x) * (y - y));
140 } 139 }
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