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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_csinhf.c */ |
| 2 /*- |
| 3 * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl |
| 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 unmodified, this list of conditions, and the following |
| 11 * disclaimer. |
| 12 * 2. Redistributions in binary form must reproduce the above copyright |
| 13 * notice, this list of conditions and the following disclaimer in the |
| 14 * documentation and/or other materials provided with the distribution. |
| 15 * |
| 16 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
| 17 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
| 18 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
| 19 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
| 20 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
| 21 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
| 22 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
| 23 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| 24 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF |
| 25 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 26 */ |
| 27 /* |
| 28 * Hyperbolic sine of a complex argument z. See s_csinh.c for details. |
| 29 */ |
| 30 |
| 31 #include "libm.h" |
| 32 |
| 33 static const float huge = 0x1p127; |
| 34 |
| 35 float complex csinhf(float complex z) |
| 36 { |
| 37 float x, y, h; |
| 38 int32_t hx, hy, ix, iy; |
| 39 |
| 40 x = crealf(z); |
| 41 y = cimagf(z); |
| 42 |
| 43 GET_FLOAT_WORD(hx, x); |
| 44 GET_FLOAT_WORD(hy, y); |
| 45 |
| 46 ix = 0x7fffffff & hx; |
| 47 iy = 0x7fffffff & hy; |
| 48 |
| 49 if (ix < 0x7f800000 && iy < 0x7f800000) { |
| 50 if (iy == 0) |
| 51 return CMPLXF(sinhf(x), y); |
| 52 if (ix < 0x41100000) /* small x: normal case */ |
| 53 return CMPLXF(sinhf(x) * cosf(y), coshf(x) * sinf(y)); |
| 54 |
| 55 /* |x| >= 9, so cosh(x) ~= exp(|x|) */ |
| 56 if (ix < 0x42b17218) { |
| 57 /* x < 88.7: expf(|x|) won't overflow */ |
| 58 h = expf(fabsf(x)) * 0.5f; |
| 59 return CMPLXF(copysignf(h, x) * cosf(y), h * sinf(y)); |
| 60 } else if (ix < 0x4340b1e7) { |
| 61 /* x < 192.7: scale to avoid overflow */ |
| 62 z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1); |
| 63 return CMPLXF(crealf(z) * copysignf(1, x), cimagf(z)); |
| 64 } else { |
| 65 /* x >= 192.7: the result always overflows */ |
| 66 h = huge * x; |
| 67 return CMPLXF(h * cosf(y), h * h * sinf(y)); |
| 68 } |
| 69 } |
| 70 |
| 71 if (ix == 0 && iy >= 0x7f800000) |
| 72 return CMPLXF(copysignf(0, x * (y - y)), y - y); |
| 73 |
| 74 if (iy == 0 && ix >= 0x7f800000) { |
| 75 if ((hx & 0x7fffff) == 0) |
| 76 return CMPLXF(x, y); |
| 77 return CMPLXF(x, copysignf(0, y)); |
| 78 } |
| 79 |
| 80 if (ix < 0x7f800000 && iy >= 0x7f800000) |
| 81 return CMPLXF(y - y, x * (y - y)); |
| 82 |
| 83 if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) { |
| 84 if (iy >= 0x7f800000) |
| 85 return CMPLXF(x * x, x * (y - y)); |
| 86 return CMPLXF(x * cosf(y), INFINITY * sinf(y)); |
| 87 } |
| 88 |
| 89 return CMPLXF((x * x) * (y - y), (x + x) * (y - y)); |
| 90 } |
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