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1 // lo-mappers.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1996 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include <cfloat> |
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29 |
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30 #include "lo-error.h" |
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31 #include "lo-ieee.h" |
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32 #include "lo-mappers.h" |
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33 #include "lo-utils.h" |
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34 #include "oct-cmplx.h" |
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35 #include "oct-math.h" |
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36 |
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37 #include "f77-fcn.h" |
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38 |
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39 #if defined (_AIX) && defined (__GNUG__) |
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40 #undef finite |
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41 #define finite(x) ((x) < DBL_MAX && (x) > -DBL_MAX) |
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42 #endif |
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43 |
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44 extern "C" |
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45 { |
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46 double F77_FCN (dgamma, DGAMMA) (const double&); |
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47 |
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48 int F77_FCN (dlgams, DLGAMS) (const double&, double&, double&); |
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49 } |
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50 |
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51 #ifndef M_LOG10E |
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52 #define M_LOG10E 0.43429448190325182765 |
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53 #endif |
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54 |
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55 #ifndef M_PI |
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56 #define M_PI 3.14159265358979323846 |
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57 #endif |
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58 |
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59 #if defined (HAVE_LGAMMA) && ! defined (SIGNGAM_DECLARED) |
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60 extern int signgam; |
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61 #endif |
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62 |
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63 // Double -> double mappers. |
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64 |
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65 double |
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66 arg (double x) |
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67 { |
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68 if (x < 0.0) |
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69 return M_PI; |
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70 else |
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71 #if defined (HAVE_ISNAN) |
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72 return xisnan (x) ? octave_NaN : 0.0; |
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73 #else |
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74 return 0.0; |
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75 #endif |
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76 } |
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77 |
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78 double |
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79 conj (double x) |
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80 { |
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81 return x; |
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82 } |
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83 |
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84 double |
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85 fix (double x) |
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86 { |
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87 int tmp; |
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88 tmp = (int) x; |
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89 return (double) tmp; |
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90 } |
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91 |
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92 double |
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93 imag (double x) |
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94 { |
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95 #if defined (HAVE_ISNAN) |
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96 return xisnan (x) ? octave_NaN : 0.0; |
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97 #else |
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98 return 0.0; |
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99 #endif |
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100 } |
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101 |
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102 double |
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103 real (double x) |
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104 { |
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105 return x; |
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106 } |
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107 |
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108 double |
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109 round (double x) |
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110 { |
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111 return D_NINT (x); |
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112 } |
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113 |
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114 double |
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115 signum (double x) |
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116 { |
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117 double tmp = 0.0; |
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118 if (x < 0.0) |
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119 tmp = -1.0; |
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120 else if (x > 0.0) |
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121 tmp = 1.0; |
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122 |
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123 #if defined (HAVE_ISNAN) |
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124 return xisnan (x) ? octave_NaN : tmp; |
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125 #else |
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126 return tmp; |
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127 #endif |
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128 } |
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129 |
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130 double |
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131 xerf (double x) |
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132 { |
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133 #if defined (HAVE_ERF) |
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134 return erf (x); |
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135 #else |
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136 (*current_liboctave_error_handler) |
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137 ("erf (x) not available on this system"); |
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138 #endif |
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139 } |
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140 |
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141 double |
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142 xerfc (double x) |
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143 { |
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144 #if defined (HAVE_ERFC) |
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145 return erfc (x); |
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146 #else |
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147 (*current_liboctave_error_handler) |
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148 ("erfc (x) not available on this system"); |
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149 #endif |
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150 } |
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151 |
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152 double |
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153 xisnan (double x) |
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154 { |
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155 #if defined (HAVE_ISNAN) |
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156 return (double) isnan (x); |
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157 #else |
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158 return 0; |
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159 #endif |
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160 } |
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161 |
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162 double |
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163 xfinite (double x) |
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164 { |
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165 #if defined (HAVE_FINITE) |
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166 return (double) finite (x); |
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167 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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168 return (double) (! isinf (x) && ! isnan (x)); |
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169 #else |
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170 return 1; |
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171 #endif |
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172 } |
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173 |
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174 double |
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175 xgamma (double x) |
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176 { |
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177 return F77_FCN (dgamma, DGAMMA) (x); |
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178 } |
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179 |
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180 double |
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181 xisinf (double x) |
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182 { |
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183 #if defined (HAVE_ISINF) |
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184 return (double) isinf (x); |
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185 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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186 return (double) (! (finite (x) || isnan (x))); |
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187 #else |
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188 return 0; |
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189 #endif |
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190 } |
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191 |
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192 double |
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193 xlgamma (double x) |
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194 { |
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195 double result; |
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196 double sgngam; |
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197 |
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198 F77_FCN (dlgams, DLGAMS) (x, result, sgngam); |
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199 |
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200 return result; |
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201 } |
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202 |
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203 // Complex -> double mappers. |
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204 |
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205 double |
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206 xisnan (const Complex& x) |
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207 { |
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208 #if defined (HAVE_ISNAN) |
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209 double rx = real (x); |
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210 double ix = imag (x); |
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211 return (double) (isnan (rx) || isnan (ix)); |
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212 #else |
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213 return 0; |
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214 #endif |
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215 } |
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216 |
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217 double |
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218 xfinite (const Complex& x) |
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219 { |
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220 double rx = real (x); |
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221 double ix = imag (x); |
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222 return (double) (! ((int) xisinf (rx) || (int) xisinf (ix))); |
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223 } |
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224 |
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225 double |
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226 xisinf (const Complex& x) |
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227 { |
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228 return (double) (! (int) xfinite (x)); |
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229 } |
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230 |
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231 // Complex -> complex mappers. |
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232 |
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233 Complex |
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234 acos (const Complex& x) |
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235 { |
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236 static Complex i (0, 1); |
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237 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
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238 return retval; |
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239 } |
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240 |
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241 Complex |
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242 acosh (const Complex& x) |
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243 { |
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244 Complex retval = log (x + sqrt (x*x - 1.0)); |
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245 return retval; |
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246 } |
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247 |
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248 Complex |
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249 asin (const Complex& x) |
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250 { |
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251 static Complex i (0, 1); |
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252 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
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253 return retval; |
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254 } |
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255 |
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256 Complex |
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257 asinh (const Complex& x) |
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258 { |
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259 Complex retval = log (x + sqrt (x*x + 1.0)); |
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260 return retval; |
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261 } |
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262 |
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263 Complex |
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264 atan (const Complex& x) |
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265 { |
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266 static Complex i (0, 1); |
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267 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
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268 return retval; |
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269 } |
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270 |
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271 Complex |
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272 atanh (const Complex& x) |
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273 { |
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274 static Complex i (0, 1); |
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275 Complex retval = log ((1 + x) / (1 - x)) / 2.0; |
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276 return retval; |
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277 } |
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278 |
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279 Complex |
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280 ceil (const Complex& x) |
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281 { |
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282 int re = (int) ceil (real (x)); |
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283 int im = (int) ceil (imag (x)); |
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284 return Complex (re, im); |
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285 } |
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286 |
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287 Complex |
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288 fix (const Complex& x) |
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289 { |
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290 int re = (int) real (x); |
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291 int im = (int) imag (x); |
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292 return Complex (re, im); |
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293 } |
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294 |
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295 Complex |
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296 floor (const Complex& x) |
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297 { |
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298 int re = (int) floor (real (x)); |
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299 int im = (int) floor (imag (x)); |
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300 return Complex (re, im); |
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301 } |
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302 |
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303 Complex |
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304 log10 (const Complex& x) |
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305 { |
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306 return M_LOG10E * log (x); |
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307 } |
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308 |
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309 Complex |
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310 round (const Complex& x) |
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311 { |
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312 double re = D_NINT (real (x)); |
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313 double im = D_NINT (imag (x)); |
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314 return Complex (re, im); |
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315 } |
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316 |
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317 Complex |
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318 signum (const Complex& x) |
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319 { |
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320 return x / abs (x); |
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321 } |
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322 |
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323 Complex |
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324 tan (const Complex& x) |
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325 { |
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326 Complex retval = sin (x) / cos (x); |
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327 return retval; |
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328 } |
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329 |
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330 Complex |
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331 tanh (const Complex& x) |
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332 { |
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333 Complex retval = sinh (x) / cosh (x); |
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334 return retval; |
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335 } |
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336 |
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337 /* |
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338 ;;; Local Variables: *** |
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339 ;;; mode: C++ *** |
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340 ;;; page-delimiter: "^/\\*" *** |
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341 ;;; End: *** |
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342 */ |
