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1 /* Return value of complex exponential function for complex __float128 value.
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2 Copyright (C) 1997-2012 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, see
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18 <http://www.gnu.org/licenses/>. */
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19
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20 #include "quadmath-imp.h"
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21
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22 #ifdef HAVE_FENV_H
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23 # include <fenv.h>
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24 #endif
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25
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26
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27 __complex128
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28 cexpq (__complex128 x)
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29 {
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30 __complex128 retval;
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31 int rcls = fpclassifyq (__real__ x);
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32 int icls = fpclassifyq (__imag__ x);
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33
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34 if (__builtin_expect (rcls >= QUADFP_ZERO, 1))
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35 {
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36 /* Real part is finite. */
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37 if (__builtin_expect (icls >= QUADFP_ZERO, 1))
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38 {
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39 /* Imaginary part is finite. */
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40 const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q);
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41 __float128 sinix, cosix;
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42
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43 if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1))
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44 {
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45 sincosq (__imag__ x, &sinix, &cosix);
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46 }
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47 else
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48 {
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49 sinix = __imag__ x;
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50 cosix = 1.0Q;
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51 }
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52
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53 if (__real__ x > t)
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54 {
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55 __float128 exp_t = expq (t);
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56 __real__ x -= t;
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57 sinix *= exp_t;
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58 cosix *= exp_t;
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59 if (__real__ x > t)
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60 {
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61 __real__ x -= t;
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62 sinix *= exp_t;
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63 cosix *= exp_t;
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64 }
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65 }
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66 if (__real__ x > t)
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67 {
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68 /* Overflow (original real part of x > 3t). */
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69 __real__ retval = FLT128_MAX * cosix;
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70 __imag__ retval = FLT128_MAX * sinix;
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71 }
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72 else
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73 {
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74 __float128 exp_val = expq (__real__ x);
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75 __real__ retval = exp_val * cosix;
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76 __imag__ retval = exp_val * sinix;
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77 }
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78 }
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79 else
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80 {
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81 /* If the imaginary part is +-inf or NaN and the real part
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82 is not +-inf the result is NaN + iNaN. */
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83 __real__ retval = nanq ("");
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84 __imag__ retval = nanq ("");
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85
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86 #ifdef HAVE_FENV_H
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87 feraiseexcept (FE_INVALID);
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88 #endif
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89 }
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90 }
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91 else if (__builtin_expect (rcls == QUADFP_INFINITE, 1))
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92 {
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93 /* Real part is infinite. */
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94 if (__builtin_expect (icls >= QUADFP_ZERO, 1))
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95 {
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96 /* Imaginary part is finite. */
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97 __float128 value = signbitq (__real__ x) ? 0.0Q : HUGE_VALQ;
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98
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99 if (icls == QUADFP_ZERO)
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100 {
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101 /* Imaginary part is 0.0. */
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102 __real__ retval = value;
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103 __imag__ retval = __imag__ x;
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104 }
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105 else
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106 {
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107 __float128 sinix, cosix;
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108
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109 if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1))
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110 {
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111 sincosq (__imag__ x, &sinix, &cosix);
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112 }
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113 else
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114 {
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115 sinix = __imag__ x;
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116 cosix = 1.0Q;
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117 }
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118
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119 __real__ retval = copysignq (value, cosix);
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120 __imag__ retval = copysignq (value, sinix);
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121 }
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122 }
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123 else if (signbitq (__real__ x) == 0)
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124 {
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125 __real__ retval = HUGE_VALQ;
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126 __imag__ retval = nanq ("");
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127
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128 #ifdef HAVE_FENV_H
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129 if (icls == QUADFP_INFINITE)
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130 feraiseexcept (FE_INVALID);
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131 #endif
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132 }
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133 else
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134 {
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135 __real__ retval = 0.0Q;
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136 __imag__ retval = copysignq (0.0Q, __imag__ x);
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137 }
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138 }
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139 else
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140 {
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141 /* If the real part is NaN the result is NaN + iNaN. */
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142 __real__ retval = nanq ("");
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143 __imag__ retval = nanq ("");
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144
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145 #ifdef HAVE_FENV_H
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146 if (rcls != QUADFP_NAN || icls != QUADFP_NAN)
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147 feraiseexcept (FE_INVALID);
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148 #endif
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149 }
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150
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151 return retval;
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152 }
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