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Side by Side Diff: fusl/src/complex/cexp.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_cexp.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_cexp.c */
2 /*- 2 /*-
3 * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG> 3 * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
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, this list of conditions and the following disclaimer. 10 * notice, this list of conditions and the following disclaimer.
11 * 2. Redistributions in binary form must reproduce the above copyright 11 * 2. Redistributions in binary form must reproduce the above copyright
12 * notice, this list of conditions and the following disclaimer in the 12 * notice, this list of conditions and the following disclaimer in the
13 * documentation and/or other materials provided with the distribution. 13 * documentation and/or other materials provided with the distribution.
14 * 14 *
15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
16 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 16 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
18 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
19 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 19 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
20 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 20 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
21 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 21 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
22 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 22 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
23 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 23 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
24 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 24 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
25 * SUCH DAMAGE. 25 * SUCH DAMAGE.
26 */ 26 */
27 27
28 #include "libm.h" 28 #include "libm.h"
29 29
30 static const uint32_t 30 static const uint32_t exp_ovfl =
31 exp_ovfl = 0x40862e42, /* high bits of MAX_EXP * ln2 ~= 710 */ 31 0x40862e42, /* high bits of MAX_EXP * ln2 ~= 710 */
32 cexp_ovfl = 0x4096b8e4; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */ 32 cexp_ovfl = 0x4096b8e4; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
33 33
34 double complex cexp(double complex z) 34 double complex cexp(double complex z) {
35 { 35 double x, y, exp_x;
36 » double x, y, exp_x; 36 uint32_t hx, hy, lx, ly;
37 » uint32_t hx, hy, lx, ly;
38 37
39 » x = creal(z); 38 x = creal(z);
40 » y = cimag(z); 39 y = cimag(z);
41 40
42 » EXTRACT_WORDS(hy, ly, y); 41 EXTRACT_WORDS(hy, ly, y);
43 » hy &= 0x7fffffff; 42 hy &= 0x7fffffff;
44 43
45 » /* cexp(x + I 0) = exp(x) + I 0 */ 44 /* cexp(x + I 0) = exp(x) + I 0 */
46 » if ((hy | ly) == 0) 45 if ((hy | ly) == 0)
47 » » return CMPLX(exp(x), y); 46 return CMPLX(exp(x), y);
48 » EXTRACT_WORDS(hx, lx, x); 47 EXTRACT_WORDS(hx, lx, x);
49 » /* cexp(0 + I y) = cos(y) + I sin(y) */ 48 /* cexp(0 + I y) = cos(y) + I sin(y) */
50 » if (((hx & 0x7fffffff) | lx) == 0) 49 if (((hx & 0x7fffffff) | lx) == 0)
51 » » return CMPLX(cos(y), sin(y)); 50 return CMPLX(cos(y), sin(y));
52 51
53 » if (hy >= 0x7ff00000) { 52 if (hy >= 0x7ff00000) {
54 » » if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) { 53 if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) {
55 » » » /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */ 54 /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
56 » » » return CMPLX(y - y, y - y); 55 return CMPLX(y - y, y - y);
57 » » } else if (hx & 0x80000000) { 56 } else if (hx & 0x80000000) {
58 » » » /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */ 57 /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
59 » » » return CMPLX(0.0, 0.0); 58 return CMPLX(0.0, 0.0);
60 » » } else { 59 } else {
61 » » » /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */ 60 /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
62 » » » return CMPLX(x, y - y); 61 return CMPLX(x, y - y);
63 » » } 62 }
64 » } 63 }
65 64
66 » if (hx >= exp_ovfl && hx <= cexp_ovfl) { 65 if (hx >= exp_ovfl && hx <= cexp_ovfl) {
67 » » /* 66 /*
68 » » * x is between 709.7 and 1454.3, so we must scale to avoid 67 * x is between 709.7 and 1454.3, so we must scale to avoid
69 » » * overflow in exp(x). 68 * overflow in exp(x).
70 » » */ 69 */
71 » » return __ldexp_cexp(z, 0); 70 return __ldexp_cexp(z, 0);
72 » } else { 71 } else {
73 » » /* 72 /*
74 » » * Cases covered here: 73 * Cases covered here:
75 » » * - x < exp_ovfl and exp(x) won't overflow (common case) 74 * - x < exp_ovfl and exp(x) won't overflow (common case)
76 » » * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0 75 * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
77 » » * - x = +-Inf (generated by exp()) 76 * - x = +-Inf (generated by exp())
78 » » * - x = NaN (spurious inexact exception from y) 77 * - x = NaN (spurious inexact exception from y)
79 » » */ 78 */
80 » » exp_x = exp(x); 79 exp_x = exp(x);
81 » » return CMPLX(exp_x * cos(y), exp_x * sin(y)); 80 return CMPLX(exp_x * cos(y), exp_x * sin(y));
82 » } 81 }
83 } 82 }
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