| 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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