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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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1967
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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 int F77_FCN (xdgamma, XDGAMMA) (const double&, 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 return x > 0 ? floor (x) : ceil (x); |
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87 } |
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88 |
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89 double |
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90 imag (double x) |
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91 { |
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92 #if defined (HAVE_ISNAN) |
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93 return xisnan (x) ? octave_NaN : 0.0; |
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94 #else |
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95 return 0.0; |
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96 #endif |
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97 } |
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98 |
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99 double |
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100 real (double x) |
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101 { |
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102 return x; |
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103 } |
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104 |
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105 double |
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106 round (double x) |
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107 { |
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108 return D_NINT (x); |
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109 } |
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110 |
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111 double |
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112 signum (double x) |
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113 { |
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114 double tmp = 0.0; |
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115 if (x < 0.0) |
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116 tmp = -1.0; |
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117 else if (x > 0.0) |
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118 tmp = 1.0; |
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119 |
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120 #if defined (HAVE_ISNAN) |
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121 return xisnan (x) ? octave_NaN : tmp; |
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122 #else |
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123 return tmp; |
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124 #endif |
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125 } |
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126 |
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127 double |
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128 xerf (double x) |
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129 { |
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130 #if defined (HAVE_ERF) |
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131 return erf (x); |
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132 #else |
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133 (*current_liboctave_error_handler) |
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134 ("erf (x) not available on this system"); |
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135 #endif |
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136 } |
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137 |
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138 double |
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139 xerfc (double x) |
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140 { |
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141 #if defined (HAVE_ERFC) |
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142 return erfc (x); |
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143 #else |
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144 (*current_liboctave_error_handler) |
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145 ("erfc (x) not available on this system"); |
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146 #endif |
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147 } |
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148 |
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149 double |
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150 xisnan (double x) |
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151 { |
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152 #if defined (HAVE_ISNAN) |
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153 return isnan (x); |
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154 #else |
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155 return 0; |
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156 #endif |
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157 } |
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158 |
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159 double |
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160 xfinite (double x) |
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161 { |
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162 #if defined (HAVE_FINITE) |
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163 return finite (x); |
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164 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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165 return (! isinf (x) && ! isnan (x)); |
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166 #else |
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167 return 1; |
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168 #endif |
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169 } |
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170 |
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171 double |
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172 xgamma (double x) |
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173 { |
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174 double result; |
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175 |
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176 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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177 |
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178 return result; |
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179 } |
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180 |
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181 double |
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182 xisinf (double x) |
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183 { |
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184 #if defined (HAVE_ISINF) |
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185 return isinf (x); |
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186 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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187 return (! (finite (x) || isnan (x))); |
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188 #else |
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189 return 0; |
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190 #endif |
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191 } |
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192 |
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193 double |
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194 xlgamma (double x) |
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195 { |
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196 double result; |
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197 double sgngam; |
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198 |
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199 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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200 |
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201 return result; |
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202 } |
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203 |
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204 // Complex -> double mappers. |
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205 |
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206 double |
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207 xisnan (const Complex& x) |
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208 { |
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209 #if defined (HAVE_ISNAN) |
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210 return (isnan (real (x)) || isnan (imag (x))); |
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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 return (! (xisinf (real (x)) || xisinf (imag (x)))); |
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220 } |
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221 |
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222 double |
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223 xisinf (const Complex& x) |
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224 { |
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225 return (! xfinite (x)); |
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226 } |
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227 |
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228 // Complex -> complex mappers. |
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229 |
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230 Complex |
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231 acos (const Complex& x) |
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232 { |
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233 static Complex i (0, 1); |
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234 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
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235 return retval; |
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236 } |
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237 |
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238 Complex |
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239 acosh (const Complex& x) |
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240 { |
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241 Complex retval = log (x + sqrt (x*x - 1.0)); |
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242 return retval; |
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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 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
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250 return retval; |
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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 Complex retval = log (x + sqrt (x*x + 1.0)); |
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257 return retval; |
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258 } |
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259 |
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260 Complex |
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261 atan (const Complex& x) |
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262 { |
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263 static Complex i (0, 1); |
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264 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
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265 return retval; |
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266 } |
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267 |
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268 Complex |
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269 atanh (const Complex& x) |
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270 { |
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271 Complex retval = log ((1 + x) / (1 - x)) / 2.0; |
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272 return retval; |
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273 } |
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274 |
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275 Complex |
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276 ceil (const Complex& x) |
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277 { |
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278 return Complex (ceil (real (x)), ceil (imag (x))); |
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279 } |
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280 |
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281 Complex |
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282 fix (const Complex& x) |
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283 { |
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284 return Complex (fix (real (x)), fix (imag (x))); |
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285 } |
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286 |
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287 Complex |
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288 floor (const Complex& x) |
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289 { |
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290 return Complex (floor (real (x)), floor (imag (x))); |
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291 } |
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292 |
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293 Complex |
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294 log10 (const Complex& x) |
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295 { |
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296 return M_LOG10E * log (x); |
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297 } |
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298 |
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299 Complex |
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300 round (const Complex& x) |
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301 { |
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302 return Complex (D_NINT (real (x)), D_NINT (imag (x))); |
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303 } |
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304 |
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305 Complex |
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306 signum (const Complex& x) |
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307 { |
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308 return x / abs (x); |
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309 } |
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310 |
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311 Complex |
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312 tan (const Complex& x) |
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313 { |
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314 Complex retval = sin (x) / cos (x); |
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315 return retval; |
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316 } |
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317 |
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318 Complex |
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319 tanh (const Complex& x) |
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320 { |
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321 Complex retval = sinh (x) / cosh (x); |
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322 return retval; |
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323 } |
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324 |
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325 /* |
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326 ;;; Local Variables: *** |
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327 ;;; mode: C++ *** |
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328 ;;; End: *** |
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329 */ |
