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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 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 #include <cmath> |
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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-specfun.h" |
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34 #include "lo-utils.h" |
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35 #include "oct-cmplx.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 int F77_FCN (xdgamma, XDGAMMA) (const double&, 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 return x > 0 ? floor (x) : ceil (x); |
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88 } |
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89 |
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90 double |
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91 imag (double x) |
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92 { |
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93 #if defined (HAVE_ISNAN) |
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94 return xisnan (x) ? octave_NaN : 0.0; |
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95 #else |
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96 return 0.0; |
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97 #endif |
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98 } |
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99 |
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100 double |
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101 real (double x) |
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102 { |
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103 return x; |
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104 } |
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105 |
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106 double |
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107 round (double x) |
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108 { |
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109 return D_NINT (x); |
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110 } |
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111 |
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112 double |
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113 signum (double x) |
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114 { |
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115 double tmp = 0.0; |
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116 if (x < 0.0) |
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117 tmp = -1.0; |
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118 else if (x > 0.0) |
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119 tmp = 1.0; |
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120 |
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121 #if defined (HAVE_ISNAN) |
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122 return xisnan (x) ? octave_NaN : tmp; |
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123 #else |
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124 return tmp; |
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125 #endif |
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126 } |
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127 |
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128 double |
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129 xerf (double x) |
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130 { |
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131 #if defined (HAVE_ERF) |
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132 return erf (x); |
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133 #else |
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134 (*current_liboctave_error_handler) |
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135 ("erf (x) not available on this system"); |
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136 #endif |
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137 } |
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138 |
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139 double |
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140 xerfc (double x) |
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141 { |
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142 #if defined (HAVE_ERFC) |
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143 return erfc (x); |
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144 #else |
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145 (*current_liboctave_error_handler) |
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146 ("erfc (x) not available on this system"); |
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147 #endif |
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148 } |
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149 |
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150 double |
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151 xisnan (double x) |
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152 { |
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153 #if defined (HAVE_ISNAN) |
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154 return isnan (x) != 0; |
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155 #else |
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156 return 0; |
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157 #endif |
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158 } |
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159 |
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160 double |
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161 xfinite (double x) |
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162 { |
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163 #if defined (HAVE_FINITE) |
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164 return finite (x) != 0; |
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165 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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166 return (! isinf (x) && ! isnan (x)); |
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167 #else |
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168 return 1; |
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169 #endif |
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170 } |
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171 |
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172 double |
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173 xgamma (double x) |
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174 { |
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175 double result; |
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176 |
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177 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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178 |
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179 return result; |
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180 } |
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181 |
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182 double |
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183 xisinf (double x) |
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184 { |
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185 #if defined (HAVE_ISINF) |
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186 return isinf (x); |
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187 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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188 return (! (finite (x) || isnan (x))); |
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189 #else |
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190 return 0; |
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191 #endif |
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192 } |
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193 |
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194 double |
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195 xlgamma (double x) |
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196 { |
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197 double result; |
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198 double sgngam; |
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199 |
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200 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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201 |
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202 return result; |
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203 } |
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204 |
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205 // Complex -> double mappers. |
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206 |
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207 double |
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208 xisnan (const Complex& x) |
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209 { |
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210 #if defined (HAVE_ISNAN) |
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211 return (isnan (real (x)) || isnan (imag (x))); |
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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 return (! (xisinf (real (x)) || xisinf (imag (x)))); |
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221 } |
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222 |
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223 double |
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224 xisinf (const Complex& x) |
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225 { |
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226 return (! xfinite (x)); |
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227 } |
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228 |
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229 // Complex -> complex mappers. |
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230 |
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231 Complex |
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232 acos (const Complex& x) |
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233 { |
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234 static Complex i (0, 1); |
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235 |
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236 return (real (x) * imag (x) < 0.0) ? i * acosh (x) : -i * acosh (x); |
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237 } |
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238 |
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239 Complex |
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240 acosh (const Complex& x) |
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241 { |
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242 return log (x + sqrt (x*x - 1.0)); |
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243 } |
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244 |
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245 Complex |
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246 asin (const Complex& x) |
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247 { |
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248 static Complex i (0, 1); |
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249 |
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250 return -i * log (i*x + sqrt (1.0 - x*x)); |
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251 } |
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252 |
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253 Complex |
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254 asinh (const Complex& x) |
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255 { |
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256 return log (x + sqrt (x*x + 1.0)); |
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257 } |
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258 |
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259 Complex |
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260 atan (const Complex& x) |
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261 { |
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262 static Complex i (0, 1); |
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263 |
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264 return i * log ((i + x) / (i - x)) / 2.0; |
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265 } |
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266 |
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267 Complex |
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268 atanh (const Complex& x) |
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269 { |
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270 return log ((1.0 + x) / (1.0 - x)) / 2.0; |
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271 } |
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272 |
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273 Complex |
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274 ceil (const Complex& x) |
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275 { |
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276 return Complex (ceil (real (x)), ceil (imag (x))); |
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277 } |
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278 |
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279 Complex |
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280 fix (const Complex& x) |
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281 { |
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282 return Complex (fix (real (x)), fix (imag (x))); |
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283 } |
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284 |
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285 Complex |
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286 floor (const Complex& x) |
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287 { |
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288 return Complex (floor (real (x)), floor (imag (x))); |
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289 } |
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290 |
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291 Complex |
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292 log10 (const Complex& x) |
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293 { |
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294 return M_LOG10E * log (x); |
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295 } |
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296 |
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297 Complex |
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298 round (const Complex& x) |
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299 { |
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300 return Complex (D_NINT (real (x)), D_NINT (imag (x))); |
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301 } |
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302 |
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303 Complex |
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304 signum (const Complex& x) |
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305 { |
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306 return x / abs (x); |
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307 } |
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308 |
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309 Complex |
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310 tan (const Complex& x) |
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311 { |
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312 return sin (x) / cos (x); |
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313 } |
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314 |
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315 Complex |
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316 tanh (const Complex& x) |
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317 { |
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318 return sinh (x) / cosh (x); |
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319 } |
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320 |
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321 /* |
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322 ;;; Local Variables: *** |
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323 ;;; mode: C++ *** |
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324 ;;; End: *** |
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325 */ |
