OLD | NEW |
(Empty) | |
| 1 /* origin: FreeBSD /usr/src/lib/msun/src/k_expf.c */ |
| 2 /*- |
| 3 * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG> |
| 4 * All rights reserved. |
| 5 * |
| 6 * Redistribution and use in source and binary forms, with or without |
| 7 * modification, are permitted provided that the following conditions |
| 8 * are met: |
| 9 * 1. Redistributions of source code must retain the above copyright |
| 10 * notice, this list of conditions and the following disclaimer. |
| 11 * 2. Redistributions in binary form must reproduce the above copyright |
| 12 * notice, this list of conditions and the following disclaimer in the |
| 13 * documentation and/or other materials provided with the distribution. |
| 14 * |
| 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 |
| 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
| 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
| 19 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
| 20 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
| 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 |
| 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 |
| 25 * SUCH DAMAGE. |
| 26 */ |
| 27 |
| 28 #include "libm.h" |
| 29 |
| 30 static const uint32_t k = 235; /* constant for reduction */ |
| 31 static const float kln2 = 162.88958740F; /* k * ln2 */ |
| 32 |
| 33 /* |
| 34 * See __cexp.c for details. |
| 35 * |
| 36 * Input: ln(FLT_MAX) <= x < ln(2 * FLT_MAX / FLT_MIN_DENORM) ~= 192.7 |
| 37 * Output: 2**127 <= y < 2**128 |
| 38 */ |
| 39 static float __frexp_expf(float x, int *expt) |
| 40 { |
| 41 float exp_x; |
| 42 uint32_t hx; |
| 43 |
| 44 exp_x = expf(x - kln2); |
| 45 GET_FLOAT_WORD(hx, exp_x); |
| 46 *expt = (hx >> 23) - (0x7f + 127) + k; |
| 47 SET_FLOAT_WORD(exp_x, (hx & 0x7fffff) | ((0x7f + 127) << 23)); |
| 48 return exp_x; |
| 49 } |
| 50 |
| 51 float complex __ldexp_cexpf(float complex z, int expt) |
| 52 { |
| 53 float x, y, exp_x, scale1, scale2; |
| 54 int ex_expt, half_expt; |
| 55 |
| 56 x = crealf(z); |
| 57 y = cimagf(z); |
| 58 exp_x = __frexp_expf(x, &ex_expt); |
| 59 expt += ex_expt; |
| 60 |
| 61 half_expt = expt / 2; |
| 62 SET_FLOAT_WORD(scale1, (0x7f + half_expt) << 23); |
| 63 half_expt = expt - half_expt; |
| 64 SET_FLOAT_WORD(scale2, (0x7f + half_expt) << 23); |
| 65 |
| 66 return CMPLXF(cosf(y) * exp_x * scale1 * scale2, |
| 67 sinf(y) * exp_x * scale1 * scale2); |
| 68 } |
OLD | NEW |