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1 /* Complex sine function for float types.
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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 csinq (__complex128 x)
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24 {
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25 __complex128 retval;
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26 int negate = signbitq (__real__ x);
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27 int rcls = fpclassifyq (__real__ x);
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28 int icls = fpclassifyq (__imag__ x);
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29
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30 __real__ x = fabsq (__real__ x);
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31
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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 if (__glibc_likely (rcls >= QUADFP_ZERO))
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36 {
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37 /* Real part is finite. */
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38 const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q);
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39 __float128 sinix, cosix;
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40
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41 if (__glibc_likely (__real__ x > FLT128_MIN))
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42 {
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43 sincosq (__real__ x, &sinix, &cosix);
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44 }
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45 else
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46 {
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47 sinix = __real__ x;
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48 cosix = 1;
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49 }
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50
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51 if (negate)
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52 sinix = -sinix;
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53
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54 if (fabsq (__imag__ x) > t)
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55 {
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56 __float128 exp_t = expq (t);
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57 __float128 ix = fabsq (__imag__ x);
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58 if (signbitq (__imag__ x))
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59 cosix = -cosix;
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60 ix -= t;
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61 sinix *= exp_t / 2;
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62 cosix *= exp_t / 2;
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63 if (ix > t)
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64 {
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65 ix -= t;
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66 sinix *= exp_t;
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67 cosix *= exp_t;
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68 }
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69 if (ix > t)
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70 {
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71 /* Overflow (original imaginary part of x > 3t). */
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72 __real__ retval = FLT128_MAX * sinix;
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73 __imag__ retval = FLT128_MAX * cosix;
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74 }
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75 else
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76 {
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77 __float128 exp_val = expq (ix);
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78 __real__ retval = exp_val * sinix;
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79 __imag__ retval = exp_val * cosix;
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80 }
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81 }
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82 else
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83 {
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84 __real__ retval = coshq (__imag__ x) * sinix;
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85 __imag__ retval = sinhq (__imag__ x) * cosix;
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86 }
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87
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88 math_check_force_underflow_complex (retval);
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89 }
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90 else
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91 {
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92 if (icls == QUADFP_ZERO)
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93 {
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94 /* Imaginary part is 0.0. */
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95 __real__ retval = __real__ x - __real__ x;
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96 __imag__ retval = __imag__ x;
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97 }
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98 else
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99 {
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100 __real__ retval = nanq ("");
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101 __imag__ retval = nanq ("");
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102
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103 feraiseexcept (FE_INVALID);
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104 }
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105 }
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106 }
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107 else if (icls == QUADFP_INFINITE)
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108 {
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109 /* Imaginary part is infinite. */
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110 if (rcls == QUADFP_ZERO)
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111 {
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112 /* Real part is 0.0. */
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113 __real__ retval = copysignq (0, negate ? -1 : 1);
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114 __imag__ retval = __imag__ x;
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115 }
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116 else if (rcls > QUADFP_ZERO)
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117 {
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118 /* Real part is finite. */
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119 __float128 sinix, cosix;
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120
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121 if (__glibc_likely (__real__ x > FLT128_MIN))
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122 {
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123 sincosq (__real__ x, &sinix, &cosix);
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124 }
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125 else
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126 {
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127 sinix = __real__ x;
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128 cosix = 1;
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129 }
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130
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131 __real__ retval = copysignq (HUGE_VALQ, sinix);
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132 __imag__ retval = copysignq (HUGE_VALQ, cosix);
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133
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134 if (negate)
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135 __real__ retval = -__real__ retval;
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136 if (signbitq (__imag__ x))
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137 __imag__ retval = -__imag__ retval;
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138 }
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139 else
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140 {
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141 __real__ retval = __real__ x - __real__ x;
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142 __imag__ retval = HUGE_VALQ;
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143 }
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144 }
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145 else
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146 {
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147 if (rcls == QUADFP_ZERO)
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148 __real__ retval = copysignq (0, negate ? -1 : 1);
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149 else
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150 __real__ retval = nanq ("");
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151 __imag__ retval = nanq ("");
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152 }
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153
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154 return retval;
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155 }
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