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Side by Side Diff: fusl/src/complex/csinh.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_csinh.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_csinh.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 * = sinh(x) cos(y) + i cosh(x) sin(y). 31 * = sinh(x) cos(y) + i cosh(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 csinh(double complex z) 41 double complex csinh(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(sinh(x), y); 57 return CMPLX(sinh(x), y);
59 » » if (ix < 0x40360000) /* small x: normal case */ 58 if (ix < 0x40360000) /* small x: normal case */
60 » » » return CMPLX(sinh(x) * cos(y), cosh(x) * sin(y)); 59 return CMPLX(sinh(x) * cos(y), cosh(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(copysign(h, x) * cos(y), h * sin(y)); 65 return CMPLX(copysign(h, x) * cos(y), h * 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) * copysign(1, x), cimag(z)); 69 return CMPLX(creal(z) * copysign(1, x), cimag(z));
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 * cos(y), h * h * sin(y)); 73 return CMPLX(h * cos(y), h * h * sin(y));
75 » » } 74 }
76 » } 75 }
77 76
78 » /* 77 /*
79 » * sinh(+-0 +- I Inf) = sign(d(+-0, dNaN))0 + I dNaN. 78 * sinh(+-0 +- I Inf) = sign(d(+-0, dNaN))0 + I dNaN.
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 » * sinh(+-0 +- I NaN) = sign(d(+-0, NaN))0 + I d(NaN). 82 * sinh(+-0 +- I NaN) = sign(d(+-0, NaN))0 + I d(NaN).
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(copysign(0, x * (y - y)), y - y); 87 return CMPLX(copysign(0, x * (y - y)), y - y);
89 88
90 » /* 89 /*
91 » * sinh(+-Inf +- I 0) = +-Inf + I +-0. 90 * sinh(+-Inf +- I 0) = +-Inf + I +-0.
92 » * 91 *
93 » * sinh(NaN +- I 0) = d(NaN) + I +-0. 92 * sinh(NaN +- I 0) = d(NaN) + I +-0.
94 » */ 93 */
95 » if ((iy | ly) == 0 && ix >= 0x7ff00000) { 94 if ((iy | ly) == 0 && ix >= 0x7ff00000) {
96 » » if (((hx & 0xfffff) | lx) == 0) 95 if (((hx & 0xfffff) | lx) == 0)
97 » » » return CMPLX(x, y); 96 return CMPLX(x, y);
98 » » return CMPLX(x, copysign(0, y)); 97 return CMPLX(x, copysign(0, y));
99 » } 98 }
100 99
101 » /* 100 /*
102 » * sinh(x +- I Inf) = dNaN + I dNaN. 101 * sinh(x +- I Inf) = dNaN + I dNaN.
103 » * Raise the invalid floating-point exception for finite nonzero x. 102 * Raise the invalid floating-point exception for finite nonzero x.
104 » * 103 *
105 » * sinh(x + I NaN) = d(NaN) + I d(NaN). 104 * sinh(x + I NaN) = d(NaN) + I d(NaN).
106 » * Optionally raises the invalid floating-point exception for finite 105 * Optionally raises the invalid floating-point exception for finite
107 » * nonzero x. Choice = don't raise (except for signaling NaNs). 106 * nonzero x. Choice = don't raise (except for signaling NaNs).
108 » */ 107 */
109 » if (ix < 0x7ff00000 && iy >= 0x7ff00000) 108 if (ix < 0x7ff00000 && iy >= 0x7ff00000)
110 » » return CMPLX(y - y, x * (y - y)); 109 return CMPLX(y - y, x * (y - y));
111 110
112 » /* 111 /*
113 » * sinh(+-Inf + I NaN) = +-Inf + I d(NaN). 112 * sinh(+-Inf + I NaN) = +-Inf + I d(NaN).
114 » * The sign of Inf in the result is unspecified. Choice = normally 113 * The sign of Inf in the result is unspecified. Choice = normally
115 » * the same as d(NaN). 114 * the same as d(NaN).
116 » * 115 *
117 » * sinh(+-Inf +- I Inf) = +Inf + I dNaN. 116 * sinh(+-Inf +- I Inf) = +Inf + I dNaN.
118 » * The sign of Inf in the result is unspecified. Choice = always +. 117 * The sign of Inf in the result is unspecified. Choice = always +.
119 » * Raise the invalid floating-point exception. 118 * Raise the invalid floating-point exception.
120 » * 119 *
121 » * sinh(+-Inf + I y) = +-Inf cos(y) + I Inf sin(y) 120 * sinh(+-Inf + I y) = +-Inf cos(y) + I Inf sin(y)
122 » */ 121 */
123 » if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) { 122 if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
124 » » if (iy >= 0x7ff00000) 123 if (iy >= 0x7ff00000)
125 » » » return CMPLX(x * x, x * (y - y)); 124 return CMPLX(x * x, x * (y - y));
126 » » return CMPLX(x * cos(y), INFINITY * sin(y)); 125 return CMPLX(x * cos(y), INFINITY * sin(y));
127 » } 126 }
128 127
129 » /* 128 /*
130 » * sinh(NaN + I NaN) = d(NaN) + I d(NaN). 129 * sinh(NaN + I NaN) = d(NaN) + I d(NaN).
131 » * 130 *
132 » * sinh(NaN +- I Inf) = d(NaN) + I d(NaN). 131 * sinh(NaN +- I Inf) = d(NaN) + I d(NaN).
133 » * Optionally raises the invalid floating-point exception. 132 * Optionally raises the invalid floating-point exception.
134 » * Choice = raise. 133 * Choice = raise.
135 » * 134 *
136 » * sinh(NaN + I y) = d(NaN) + I d(NaN). 135 * sinh(NaN + I y) = d(NaN) + I d(NaN).
137 » * Optionally raises the invalid floating-point exception for finite 136 * Optionally raises the invalid floating-point exception for finite
138 » * nonzero y. Choice = don't raise (except for signaling NaNs). 137 * nonzero y. Choice = don't raise (except for signaling NaNs).
139 » */ 138 */
140 » return CMPLX((x * x) * (y - y), (x + x) * (y - y)); 139 return CMPLX((x * x) * (y - y), (x + x) * (y - y));
141 } 140 }
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