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111
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1 /* Complex sine function for complex __float128.
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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 csinq (__complex128 x)
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29 {
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30 __complex128 retval;
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31 int negate = signbitq (__real__ x);
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32 int rcls = fpclassifyq (__real__ x);
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33 int icls = fpclassifyq (__imag__ x);
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34
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35 __real__ x = fabsq (__real__ x);
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36
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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 if (__builtin_expect (rcls >= QUADFP_ZERO, 1))
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41 {
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42 /* Real part is finite. */
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43 const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q);
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44 __float128 sinix, cosix;
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45
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46 if (__builtin_expect (rcls != QUADFP_SUBNORMAL, 1))
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47 {
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48 sincosq (__real__ x, &sinix, &cosix);
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49 }
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50 else
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51 {
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52 sinix = __real__ x;
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53 cosix = 1.0Q;
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54 }
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55
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56 if (fabsq (__imag__ x) > t)
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57 {
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58 __float128 exp_t = expq (t);
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59 __float128 ix = fabsq (__imag__ x);
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60 if (signbitq (__imag__ x))
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61 cosix = -cosix;
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62 ix -= t;
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63 sinix *= exp_t / 2.0Q;
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64 cosix *= exp_t / 2.0Q;
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65 if (ix > t)
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66 {
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67 ix -= t;
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68 sinix *= exp_t;
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69 cosix *= exp_t;
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70 }
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71 if (ix > t)
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72 {
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73 /* Overflow (original imaginary part of x > 3t). */
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74 __real__ retval = FLT128_MAX * sinix;
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75 __imag__ retval = FLT128_MAX * cosix;
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76 }
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77 else
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78 {
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79 __float128 exp_val = expq (ix);
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80 __real__ retval = exp_val * sinix;
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81 __imag__ retval = exp_val * cosix;
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82 }
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83 }
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84 else
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85 {
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86 __real__ retval = coshq (__imag__ x) * sinix;
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87 __imag__ retval = sinhq (__imag__ x) * cosix;
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88 }
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89
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90 if (negate)
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91 __real__ retval = -__real__ retval;
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92 }
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93 else
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94 {
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95 if (icls == QUADFP_ZERO)
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96 {
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97 /* Imaginary part is 0.0. */
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98 __real__ retval = nanq ("");
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99 __imag__ retval = __imag__ x;
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100
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101 #ifdef HAVE_FENV_H
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102 if (rcls == QUADFP_INFINITE)
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103 feraiseexcept (FE_INVALID);
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104 #endif
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105 }
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106 else
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107 {
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108 __real__ retval = nanq ("");
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109 __imag__ retval = nanq ("");
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110
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111 #ifdef HAVE_FENV_H
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112 feraiseexcept (FE_INVALID);
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113 #endif
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114 }
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115 }
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116 }
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117 else if (icls == QUADFP_INFINITE)
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118 {
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119 /* Imaginary part is infinite. */
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120 if (rcls == QUADFP_ZERO)
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121 {
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122 /* Real part is 0.0. */
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123 __real__ retval = copysignq (0.0Q, negate ? -1.0Q : 1.0Q);
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124 __imag__ retval = __imag__ x;
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125 }
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126 else if (rcls > QUADFP_ZERO)
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127 {
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128 /* Real part is finite. */
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129 __float128 sinix, cosix;
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130
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131 if (__builtin_expect (rcls != QUADFP_SUBNORMAL, 1))
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132 {
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133 sincosq (__real__ x, &sinix, &cosix);
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134 }
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135 else
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136 {
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137 sinix = __real__ x;
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138 cosix = 1.0;
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139 }
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140
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141 __real__ retval = copysignq (HUGE_VALQ, sinix);
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142 __imag__ retval = copysignq (HUGE_VALQ, cosix);
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143
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144 if (negate)
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145 __real__ retval = -__real__ retval;
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146 if (signbitq (__imag__ x))
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147 __imag__ retval = -__imag__ retval;
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148 }
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149 else
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150 {
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151 /* The addition raises the invalid exception. */
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152 __real__ retval = nanq ("");
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153 __imag__ retval = HUGE_VALQ;
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154
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155 #ifdef HAVE_FENV_H
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156 if (rcls == QUADFP_INFINITE)
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157 feraiseexcept (FE_INVALID);
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158 #endif
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159 }
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160 }
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161 else
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162 {
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163 if (rcls == QUADFP_ZERO)
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164 __real__ retval = copysignq (0.0Q, negate ? -1.0Q : 1.0Q);
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165 else
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166 __real__ retval = nanq ("");
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167 __imag__ retval = nanq ("");
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168 }
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169
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170 return retval;
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171 }
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