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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