1 /*- 2 * SPDX-License-Identifier: BSD-2-Clause 3 * 4 * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl 5 * All rights reserved. 6 * 7 * Redistribution and use in source and binary forms, with or without 8 * modification, are permitted provided that the following conditions 9 * are met: 10 * 1. Redistributions of source code must retain the above copyright 11 * notice unmodified, this list of conditions, and the following 12 * disclaimer. 13 * 2. Redistributions in binary form must reproduce the above copyright 14 * notice, this list of conditions and the following disclaimer in the 15 * documentation and/or other materials provided with the distribution. 16 * 17 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 18 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 19 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 20 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 21 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 22 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 23 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 24 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 25 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 26 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 27 */ 28 29 /* 30 * Float version of ccosh(). See s_ccosh.c for details. 31 */ 32 33 #include <complex.h> 34 #include <math.h> 35 36 #include "math_private.h" 37 38 static const float huge = 0x1p127; 39 40 float complex 41 ccoshf(float complex z) 42 { 43 float x, y, h; 44 int32_t hx, hy, ix, iy; 45 46 x = crealf(z); 47 y = cimagf(z); 48 49 GET_FLOAT_WORD(hx, x); 50 GET_FLOAT_WORD(hy, y); 51 52 ix = 0x7fffffff & hx; 53 iy = 0x7fffffff & hy; 54 55 if (ix < 0x7f800000 && iy < 0x7f800000) { 56 if (iy == 0) 57 return (CMPLXF(coshf(x), x * y)); 58 if (ix < 0x41100000) /* |x| < 9: normal case */ 59 return (CMPLXF(coshf(x) * cosf(y), sinhf(x) * sinf(y))); 60 61 /* |x| >= 9, so cosh(x) ~= exp(|x|) */ 62 if (ix < 0x42b17218) { 63 /* x < 88.7: expf(|x|) won't overflow */ 64 h = expf(fabsf(x)) * 0.5F; 65 return (CMPLXF(h * cosf(y), copysignf(h, x) * sinf(y))); 66 } else if (ix < 0x4340b1e7) { 67 /* x < 192.7: scale to avoid overflow */ 68 z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1); 69 return (CMPLXF(crealf(z), cimagf(z) * copysignf(1, x))); 70 } else { 71 /* x >= 192.7: the result always overflows */ 72 h = huge * x; 73 return (CMPLXF(h * h * cosf(y), h * sinf(y))); 74 } 75 } 76 77 if (ix == 0) /* && iy >= 0x7f800000 */ 78 return (CMPLXF(y - y, x * copysignf(0, y))); 79 80 if (iy == 0) /* && ix >= 0x7f800000 */ 81 return (CMPLXF(x * x, copysignf(0, x) * y)); 82 83 if (ix < 0x7f800000) /* && iy >= 0x7f800000 */ 84 return (CMPLXF(y - y, x * (y - y))); 85 86 if (ix == 0x7f800000) { 87 if (iy >= 0x7f800000) 88 return (CMPLXF(INFINITY, x * (y - y))); 89 return (CMPLXF(INFINITY * cosf(y), x * sinf(y))); 90 } 91 92 return (CMPLXF(((long double)x * x) * (y - y), 93 ((long double)x + x) * (y - y))); 94 } 95 96 float complex 97 ccosf(float complex z) 98 { 99 100 return (ccoshf(CMPLXF(-cimagf(z), crealf(z)))); 101 } 102