Chromium Code Reviews
chromiumcodereview-hr@appspot.gserviceaccount.com (chromiumcodereview-hr) | Please choose your nickname with Settings | Help | Chromium Project | Gerrit Changes | Sign out
(406)

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
Use n/p to move between diff chunks; N/P to move between comments. Draft comments are only viewable by you.
Jump to:
View unified diff | Download patch
OLDNEW
1 /* origin: FreeBSD /usr/src/lib/msun/src/k_exp.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/k_exp.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 k = 1799; /* constant for reduction */ 30 static const uint32_t k = 1799; /* constant for reduction */
31 static const double kln2 = 1246.97177782734161156; /* k * ln2 */ 31 static const double kln2 = 1246.97177782734161156; /* k * ln2 */
32 32
33 /* 33 /*
34 * Compute exp(x), scaled to avoid spurious overflow. An exponent is 34 * Compute exp(x), scaled to avoid spurious overflow. An exponent is
35 * returned separately in 'expt'. 35 * returned separately in 'expt'.
36 * 36 *
37 * Input: ln(DBL_MAX) <= x < ln(2 * DBL_MAX / DBL_MIN_DENORM) ~= 1454.91 37 * Input: ln(DBL_MAX) <= x < ln(2 * DBL_MAX / DBL_MIN_DENORM) ~= 1454.91
38 * Output: 2**1023 <= y < 2**1024 38 * Output: 2**1023 <= y < 2**1024
39 */ 39 */
40 static double __frexp_exp(double x, int *expt) 40 static double __frexp_exp(double x, int* expt) {
41 { 41 double exp_x;
42 » double exp_x; 42 uint32_t hx;
43 » uint32_t hx;
44 43
45 » /* 44 /*
46 » * We use exp(x) = exp(x - kln2) * 2**k, carefully chosen to 45 * We use exp(x) = exp(x - kln2) * 2**k, carefully chosen to
47 » * minimize |exp(kln2) - 2**k|. We also scale the exponent of 46 * minimize |exp(kln2) - 2**k|. We also scale the exponent of
48 » * exp_x to MAX_EXP so that the result can be multiplied by 47 * exp_x to MAX_EXP so that the result can be multiplied by
49 » * a tiny number without losing accuracy due to denormalization. 48 * a tiny number without losing accuracy due to denormalization.
50 » */ 49 */
51 » exp_x = exp(x - kln2); 50 exp_x = exp(x - kln2);
52 » GET_HIGH_WORD(hx, exp_x); 51 GET_HIGH_WORD(hx, exp_x);
53 » *expt = (hx >> 20) - (0x3ff + 1023) + k; 52 *expt = (hx >> 20) - (0x3ff + 1023) + k;
54 » SET_HIGH_WORD(exp_x, (hx & 0xfffff) | ((0x3ff + 1023) << 20)); 53 SET_HIGH_WORD(exp_x, (hx & 0xfffff) | ((0x3ff + 1023) << 20));
55 » return exp_x; 54 return exp_x;
56 } 55 }
57 56
58 /* 57 /*
59 * __ldexp_cexp(x, expt) compute exp(x) * 2**expt. 58 * __ldexp_cexp(x, expt) compute exp(x) * 2**expt.
60 * It is intended for large arguments (real part >= ln(DBL_MAX)) 59 * It is intended for large arguments (real part >= ln(DBL_MAX))
61 * where care is needed to avoid overflow. 60 * where care is needed to avoid overflow.
62 * 61 *
63 * The present implementation is narrowly tailored for our hyperbolic and 62 * The present implementation is narrowly tailored for our hyperbolic and
64 * exponential functions. We assume expt is small (0 or -1), and the caller 63 * exponential functions. We assume expt is small (0 or -1), and the caller
65 * has filtered out very large x, for which overflow would be inevitable. 64 * has filtered out very large x, for which overflow would be inevitable.
66 */ 65 */
67 double complex __ldexp_cexp(double complex z, int expt) 66 double complex __ldexp_cexp(double complex z, int expt) {
68 { 67 double x, y, exp_x, scale1, scale2;
69 » double x, y, exp_x, scale1, scale2; 68 int ex_expt, half_expt;
70 » int ex_expt, half_expt;
71 69
72 » x = creal(z); 70 x = creal(z);
73 » y = cimag(z); 71 y = cimag(z);
74 » exp_x = __frexp_exp(x, &ex_expt); 72 exp_x = __frexp_exp(x, &ex_expt);
75 » expt += ex_expt; 73 expt += ex_expt;
76 74
77 » /* 75 /*
78 » * Arrange so that scale1 * scale2 == 2**expt. We use this to 76 * Arrange so that scale1 * scale2 == 2**expt. We use this to
79 » * compensate for scalbn being horrendously slow. 77 * compensate for scalbn being horrendously slow.
80 » */ 78 */
81 » half_expt = expt / 2; 79 half_expt = expt / 2;
82 » INSERT_WORDS(scale1, (0x3ff + half_expt) << 20, 0); 80 INSERT_WORDS(scale1, (0x3ff + half_expt) << 20, 0);
83 » half_expt = expt - half_expt; 81 half_expt = expt - half_expt;
84 » INSERT_WORDS(scale2, (0x3ff + half_expt) << 20, 0); 82 INSERT_WORDS(scale2, (0x3ff + half_expt) << 20, 0);
85 83
86 » return CMPLX(cos(y) * exp_x * scale1 * scale2, sin(y) * exp_x * scale1 * scale2); 84 return CMPLX(cos(y) * exp_x * scale1 * scale2,
85 sin(y) * exp_x * scale1 * scale2);
87 } 86 }
OLDNEW

Powered by Google App Engine
This is Rietveld 408576698