| 1 | /* Return value of complex exponential function for double complex value. |
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| 2 | Copyright (C) 1997 Free Software Foundation, Inc. |
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| 3 | This file is part of the GNU C Library. |
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| 4 | Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. |
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| 5 | |
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| 6 | The GNU C Library is free software; you can redistribute it and/or |
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| 7 | modify it under the terms of the GNU Lesser General Public |
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| 8 | License as published by the Free Software Foundation; either |
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| 9 | version 2.1 of the License, or (at your option) any later version. |
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| 10 | |
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| 11 | The GNU C Library is distributed in the hope that it will be useful, |
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| 12 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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| 14 | Lesser General Public License for more details. |
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| 15 | |
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| 16 | You should have received a copy of the GNU Lesser General Public |
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| 17 | License along with the GNU C Library; if not, write to the Free |
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| 18 | Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
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| 19 | 02111-1307 USA. */ |
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| 20 | |
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| 21 | #include <complex.h> |
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| 22 | #include <fenv.h> |
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| 23 | #include <math.h> |
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| 24 | |
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| 25 | #include "math_private.h" |
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| 26 | |
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| 27 | |
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| 28 | __complex__ double |
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| 29 | __cexp (__complex__ double x) |
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| 30 | { |
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| 31 | __complex__ double retval; |
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| 32 | int rcls = fpclassify (__real__ x); |
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| 33 | int icls = fpclassify (__imag__ x); |
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| 34 | |
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| 35 | if (rcls >= FP_ZERO) |
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| 36 | { |
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| 37 | /* Real part is finite. */ |
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| 38 | if (icls >= FP_ZERO) |
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| 39 | { |
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| 40 | /* Imaginary part is finite. */ |
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| 41 | double exp_val = __ieee754_exp (__real__ x); |
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| 42 | double sinix, cosix; |
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| 43 | |
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| 44 | __sincos (__imag__ x, &sinix, &cosix); |
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| 45 | |
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| 46 | if (isfinite (exp_val)) |
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| 47 | { |
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| 48 | __real__ retval = exp_val * cosix; |
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| 49 | __imag__ retval = exp_val * sinix; |
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| 50 | } |
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| 51 | else |
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| 52 | { |
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| 53 | __real__ retval = __copysign (exp_val, cosix); |
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| 54 | __imag__ retval = __copysign (exp_val, sinix); |
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| 55 | } |
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| 56 | } |
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| 57 | else |
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| 58 | { |
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| 59 | /* If the imaginary part is +-inf or NaN and the real part |
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| 60 | is not +-inf the result is NaN + iNaN. */ |
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| 61 | __real__ retval = __nan (""); |
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| 62 | __imag__ retval = __nan (""); |
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| 63 | |
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| 64 | #ifdef FE_INVALID |
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| 65 | feraiseexcept (FE_INVALID); |
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| 66 | #endif |
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| 67 | } |
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| 68 | } |
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| 69 | else if (rcls == FP_INFINITE) |
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| 70 | { |
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| 71 | /* Real part is infinite. */ |
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| 72 | if (icls >= FP_ZERO) |
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| 73 | { |
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| 74 | /* Imaginary part is finite. */ |
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| 75 | double value = signbit (__real__ x) ? 0.0 : HUGE_VAL; |
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| 76 | |
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| 77 | if (icls == FP_ZERO) |
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| 78 | { |
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| 79 | /* Imaginary part is 0.0. */ |
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| 80 | __real__ retval = value; |
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| 81 | __imag__ retval = __imag__ x; |
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| 82 | } |
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| 83 | else |
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| 84 | { |
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| 85 | double sinix, cosix; |
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| 86 | |
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| 87 | __sincos (__imag__ x, &sinix, &cosix); |
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| 88 | |
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| 89 | __real__ retval = __copysign (value, cosix); |
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| 90 | __imag__ retval = __copysign (value, sinix); |
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| 91 | } |
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| 92 | } |
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| 93 | else if (signbit (__real__ x) == 0) |
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| 94 | { |
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| 95 | __real__ retval = HUGE_VAL; |
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| 96 | __imag__ retval = __nan (""); |
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| 97 | |
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| 98 | #ifdef FE_INVALID |
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| 99 | if (icls == FP_INFINITE) |
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| 100 | feraiseexcept (FE_INVALID); |
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| 101 | #endif |
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| 102 | } |
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| 103 | else |
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| 104 | { |
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| 105 | __real__ retval = 0.0; |
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| 106 | __imag__ retval = __copysign (0.0, __imag__ x); |
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| 107 | } |
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| 108 | } |
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| 109 | else |
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| 110 | { |
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| 111 | /* If the real part is NaN the result is NaN + iNaN. */ |
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| 112 | __real__ retval = __nan (""); |
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| 113 | __imag__ retval = __nan (""); |
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| 114 | |
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| 115 | #ifdef FE_INVALID |
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| 116 | if (rcls != FP_NAN || icls != FP_NAN) |
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| 117 | feraiseexcept (FE_INVALID); |
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| 118 | #endif |
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| 119 | } |
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| 120 | |
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| 121 | return retval; |
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| 122 | } |
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| 123 | weak_alias (__cexp, cexp) |
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| 124 | #ifdef NO_LONG_DOUBLE |
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| 125 | strong_alias (__cexp, __cexpl) |
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| 126 | weak_alias (__cexp, cexpl) |
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| 127 | #endif |
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