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1 /* |
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2 |
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3 Copyright (C) 1996 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 2, or (at your option) any |
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10 later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include <cfloat> |
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28 |
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29 #include "lo-error.h" |
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30 #include "lo-ieee.h" |
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31 #include "lo-mappers.h" |
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32 #include "lo-utils.h" |
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33 #include "oct-cmplx.h" |
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34 #include "oct-math.h" |
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35 |
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36 #include "f77-fcn.h" |
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37 |
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38 #if defined (_AIX) && defined (__GNUG__) |
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39 #undef finite |
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40 #define finite(x) ((x) < DBL_MAX && (x) > -DBL_MAX) |
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41 #endif |
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42 |
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43 extern "C" |
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44 { |
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45 double F77_FCN (dgamma, DGAMMA) (const double&); |
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46 |
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47 int F77_FCN (dlgams, DLGAMS) (const double&, double&, double&); |
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48 } |
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49 |
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50 #ifndef M_LOG10E |
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51 #define M_LOG10E 0.43429448190325182765 |
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52 #endif |
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53 |
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54 #ifndef M_PI |
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55 #define M_PI 3.14159265358979323846 |
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56 #endif |
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57 |
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58 #if defined (HAVE_LGAMMA) && ! defined (SIGNGAM_DECLARED) |
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59 extern int signgam; |
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60 #endif |
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61 |
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62 // Double -> double mappers. |
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63 |
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64 double |
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65 arg (double x) |
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66 { |
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67 if (x < 0.0) |
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68 return M_PI; |
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69 else |
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70 #if defined (HAVE_ISNAN) |
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71 return xisnan (x) ? octave_NaN : 0.0; |
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72 #else |
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73 return 0.0; |
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74 #endif |
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75 } |
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76 |
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77 double |
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78 conj (double x) |
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79 { |
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80 return x; |
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81 } |
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82 |
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83 double |
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84 fix (double x) |
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85 { |
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86 int tmp; |
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87 tmp = (int) x; |
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88 return (double) tmp; |
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89 } |
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90 |
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91 double |
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92 imag (double x) |
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93 { |
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94 #if defined (HAVE_ISNAN) |
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95 return xisnan (x) ? octave_NaN : 0.0; |
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96 #else |
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97 return 0.0; |
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98 #endif |
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99 } |
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100 |
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101 double |
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102 real (double x) |
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103 { |
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104 return x; |
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105 } |
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106 |
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107 double |
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108 round (double x) |
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109 { |
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110 return D_NINT (x); |
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111 } |
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112 |
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113 double |
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114 signum (double x) |
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115 { |
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116 double tmp = 0.0; |
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117 if (x < 0.0) |
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118 tmp = -1.0; |
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119 else if (x > 0.0) |
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120 tmp = 1.0; |
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121 |
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122 #if defined (HAVE_ISNAN) |
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123 return xisnan (x) ? octave_NaN : tmp; |
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124 #else |
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125 return tmp; |
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126 #endif |
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127 } |
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128 |
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129 double |
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130 xerf (double x) |
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131 { |
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132 #if defined (HAVE_ERF) |
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133 return erf (x); |
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134 #else |
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135 (*current_liboctave_error_handler) |
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136 ("erf (x) not available on this system"); |
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137 #endif |
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138 } |
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139 |
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140 double |
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141 xerfc (double x) |
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142 { |
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143 #if defined (HAVE_ERFC) |
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144 return erfc (x); |
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145 #else |
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146 (*current_liboctave_error_handler) |
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147 ("erfc (x) not available on this system"); |
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148 #endif |
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149 } |
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150 |
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151 double |
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152 xisnan (double x) |
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153 { |
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154 #if defined (HAVE_ISNAN) |
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155 return (double) isnan (x); |
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156 #else |
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157 return 0; |
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158 #endif |
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159 } |
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160 |
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161 double |
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162 xfinite (double x) |
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163 { |
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164 #if defined (HAVE_FINITE) |
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165 return (double) finite (x); |
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166 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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167 return (double) (! isinf (x) && ! isnan (x)); |
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168 #else |
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169 return 1; |
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170 #endif |
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171 } |
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172 |
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173 double |
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174 xgamma (double x) |
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175 { |
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176 return F77_FCN (dgamma, DGAMMA) (x); |
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177 } |
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178 |
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179 double |
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180 xisinf (double x) |
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181 { |
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182 #if defined (HAVE_ISINF) |
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183 return (double) isinf (x); |
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184 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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185 return (double) (! (finite (x) || isnan (x))); |
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186 #else |
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187 return 0; |
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188 #endif |
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189 } |
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190 |
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191 double |
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192 xlgamma (double x) |
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193 { |
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194 double result; |
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195 double sgngam; |
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196 |
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197 F77_FCN (dlgams, DLGAMS) (x, result, sgngam); |
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198 |
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199 return result; |
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200 } |
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201 |
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202 // Complex -> double mappers. |
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203 |
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204 double |
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205 xisnan (const Complex& x) |
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206 { |
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207 #if defined (HAVE_ISNAN) |
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208 double rx = real (x); |
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209 double ix = imag (x); |
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210 return (double) (isnan (rx) || isnan (ix)); |
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211 #else |
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212 return 0; |
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213 #endif |
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214 } |
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215 |
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216 double |
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217 xfinite (const Complex& x) |
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218 { |
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219 double rx = real (x); |
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220 double ix = imag (x); |
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221 return (double) (! ((int) xisinf (rx) || (int) xisinf (ix))); |
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222 } |
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223 |
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224 double |
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225 xisinf (const Complex& x) |
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226 { |
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227 return (double) (! (int) xfinite (x)); |
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228 } |
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229 |
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230 // Complex -> complex mappers. |
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231 |
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232 Complex |
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233 acos (const Complex& x) |
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234 { |
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235 static Complex i (0, 1); |
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236 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
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237 return retval; |
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238 } |
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239 |
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240 Complex |
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241 acosh (const Complex& x) |
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242 { |
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243 Complex retval = log (x + sqrt (x*x - 1.0)); |
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244 return retval; |
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245 } |
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246 |
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247 Complex |
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248 asin (const Complex& x) |
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249 { |
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250 static Complex i (0, 1); |
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251 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
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252 return retval; |
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253 } |
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254 |
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255 Complex |
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256 asinh (const Complex& x) |
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257 { |
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258 Complex retval = log (x + sqrt (x*x + 1.0)); |
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259 return retval; |
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260 } |
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261 |
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262 Complex |
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263 atan (const Complex& x) |
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264 { |
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265 static Complex i (0, 1); |
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266 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
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267 return retval; |
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268 } |
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269 |
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270 Complex |
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271 atanh (const Complex& x) |
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272 { |
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273 static Complex i (0, 1); |
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274 Complex retval = log ((1 + x) / (1 - x)) / 2.0; |
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275 return retval; |
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276 } |
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277 |
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278 Complex |
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279 ceil (const Complex& x) |
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280 { |
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281 int re = (int) ceil (real (x)); |
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282 int im = (int) ceil (imag (x)); |
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283 return Complex (re, im); |
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284 } |
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285 |
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286 Complex |
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287 fix (const Complex& x) |
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288 { |
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289 int re = (int) real (x); |
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290 int im = (int) imag (x); |
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291 return Complex (re, im); |
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292 } |
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293 |
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294 Complex |
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295 floor (const Complex& x) |
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296 { |
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297 int re = (int) floor (real (x)); |
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298 int im = (int) floor (imag (x)); |
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299 return Complex (re, im); |
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300 } |
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301 |
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302 Complex |
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303 log10 (const Complex& x) |
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304 { |
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305 return M_LOG10E * log (x); |
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306 } |
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307 |
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308 Complex |
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309 round (const Complex& x) |
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310 { |
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311 double re = D_NINT (real (x)); |
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312 double im = D_NINT (imag (x)); |
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313 return Complex (re, im); |
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314 } |
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315 |
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316 Complex |
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317 signum (const Complex& x) |
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318 { |
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319 return x / abs (x); |
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320 } |
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321 |
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322 Complex |
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323 tan (const Complex& x) |
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324 { |
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325 Complex retval = sin (x) / cos (x); |
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326 return retval; |
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327 } |
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328 |
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329 Complex |
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330 tanh (const Complex& x) |
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331 { |
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332 Complex retval = sinh (x) / cosh (x); |
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333 return retval; |
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334 } |
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335 |
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336 /* |
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337 ;;; Local Variables: *** |
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338 ;;; mode: C++ *** |
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339 ;;; End: *** |
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340 */ |
