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1 /* Return value of complex exponential function for a float type.
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2 Copyright (C) 1997-2018 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 __complex128
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23 cexpq (__complex128 x)
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24 {
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25 __complex128 retval;
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26 int rcls = fpclassifyq (__real__ x);
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27 int icls = fpclassifyq (__imag__ x);
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28
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29 if (__glibc_likely (rcls >= QUADFP_ZERO))
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30 {
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31 /* Real part is finite. */
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32 if (__glibc_likely (icls >= QUADFP_ZERO))
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33 {
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34 /* Imaginary part is finite. */
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35 const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q);
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36 __float128 sinix, cosix;
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37
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38 if (__glibc_likely (fabsq (__imag__ x) > FLT128_MIN))
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39 {
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40 sincosq (__imag__ x, &sinix, &cosix);
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41 }
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42 else
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43 {
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44 sinix = __imag__ x;
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45 cosix = 1;
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46 }
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47
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48 if (__real__ x > t)
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49 {
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50 __float128 exp_t = expq (t);
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51 __real__ x -= t;
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52 sinix *= exp_t;
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53 cosix *= exp_t;
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54 if (__real__ x > t)
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55 {
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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 }
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60 }
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61 if (__real__ x > t)
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62 {
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63 /* Overflow (original real part of x > 3t). */
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64 __real__ retval = FLT128_MAX * cosix;
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65 __imag__ retval = FLT128_MAX * sinix;
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66 }
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67 else
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68 {
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69 __float128 exp_val = expq (__real__ x);
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70 __real__ retval = exp_val * cosix;
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71 __imag__ retval = exp_val * sinix;
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72 }
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73 math_check_force_underflow_complex (retval);
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74 }
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75 else
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76 {
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77 /* If the imaginary part is +-inf or NaN and the real part
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78 is not +-inf the result is NaN + iNaN. */
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79 __real__ retval = nanq ("");
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80 __imag__ retval = nanq ("");
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81
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82 feraiseexcept (FE_INVALID);
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83 }
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84 }
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85 else if (__glibc_likely (rcls == QUADFP_INFINITE))
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86 {
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87 /* Real part is infinite. */
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88 if (__glibc_likely (icls >= QUADFP_ZERO))
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89 {
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90 /* Imaginary part is finite. */
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91 __float128 value = signbitq (__real__ x) ? 0 : HUGE_VALQ;
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92
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93 if (icls == QUADFP_ZERO)
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94 {
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95 /* Imaginary part is 0.0. */
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96 __real__ retval = value;
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97 __imag__ retval = __imag__ x;
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98 }
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99 else
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100 {
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101 __float128 sinix, cosix;
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102
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103 if (__glibc_likely (fabsq (__imag__ x) > FLT128_MIN))
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104 {
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105 sincosq (__imag__ x, &sinix, &cosix);
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106 }
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107 else
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108 {
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109 sinix = __imag__ x;
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110 cosix = 1;
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111 }
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112
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113 __real__ retval = copysignq (value, cosix);
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114 __imag__ retval = copysignq (value, sinix);
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115 }
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116 }
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117 else if (signbitq (__real__ x) == 0)
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118 {
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119 __real__ retval = HUGE_VALQ;
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120 __imag__ retval = __imag__ x - __imag__ x;
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121 }
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122 else
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123 {
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124 __real__ retval = 0;
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125 __imag__ retval = copysignq (0, __imag__ x);
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126 }
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127 }
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128 else
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129 {
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130 /* If the real part is NaN the result is NaN + iNaN unless the
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131 imaginary part is zero. */
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132 __real__ retval = nanq ("");
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133 if (icls == QUADFP_ZERO)
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134 __imag__ retval = __imag__ x;
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135 else
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136 {
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137 __imag__ retval = nanq ("");
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138
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139 if (rcls != QUADFP_NAN || icls != QUADFP_NAN)
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140 feraiseexcept (FE_INVALID);
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141 }
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142 }
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143
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144 return retval;
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145 }
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