2 * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
8 * 1. Redistributions of source code must retain the above copyright
9 * notice unmodified, this list of conditions, and the following
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.
15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
16 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
17 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
18 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
19 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
23 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
28 * Float version of ccosh(). See s_ccosh.c for details.
31 #include <sys/cdefs.h>
32 __FBSDID("$FreeBSD$");
37 #include "math_private.h"
39 static const float huge = 0x1p127;
42 ccoshf(float complex z)
45 int32_t hx, hy, ix, iy;
50 GET_FLOAT_WORD(hx, x);
51 GET_FLOAT_WORD(hy, y);
56 if (ix < 0x7f800000 && iy < 0x7f800000) {
58 return (CMPLXF(coshf(x), x * y));
59 if (ix < 0x41100000) /* |x| < 9: normal case */
60 return (CMPLXF(coshf(x) * cosf(y), sinhf(x) * sinf(y)));
62 /* |x| >= 9, so cosh(x) ~= exp(|x|) */
63 if (ix < 0x42b17218) {
64 /* x < 88.7: expf(|x|) won't overflow */
65 h = expf(fabsf(x)) * 0.5F;
66 return (CMPLXF(h * cosf(y), copysignf(h, x) * sinf(y)));
67 } else if (ix < 0x4340b1e7) {
68 /* x < 192.7: scale to avoid overflow */
69 z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
70 return (CMPLXF(crealf(z), cimagf(z) * copysignf(1, x)));
72 /* x >= 192.7: the result always overflows */
74 return (CMPLXF(h * h * cosf(y), h * sinf(y)));
78 if (ix == 0) /* && iy >= 0x7f800000 */
79 return (CMPLXF(y - y, x * copysignf(0, y)));
81 if (iy == 0) /* && ix >= 0x7f800000 */
82 return (CMPLXF(x * x, copysignf(0, x) * y));
84 if (ix < 0x7f800000) /* && iy >= 0x7f800000 */
85 return (CMPLXF(y - y, x * (y - y)));
87 if (ix == 0x7f800000) {
89 return (CMPLXF(INFINITY, x * (y - y)));
90 return (CMPLXF(INFINITY * cosf(y), x * sinf(y)));
93 return (CMPLXF((x * x) * (y - y), (x + x) * (y - y)));
97 ccosf(float complex z)
100 return (ccoshf(CMPLXF(-cimagf(z), crealf(z))));