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1 /* |
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2 |
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1884
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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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240
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23 #ifdef HAVE_CONFIG_H |
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1192
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24 #include <config.h> |
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25 #endif |
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26 |
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1343
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27 #include <cfloat> |
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28 |
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1651
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29 #include "oct-cmplx.h" |
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1769
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30 #include "oct-math.h" |
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31 |
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1352
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32 #include "defun.h" |
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33 #include "error.h" |
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1847
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34 #include "f77-fcn.h" |
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1
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35 #include "mappers.h" |
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1308
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36 #include "sysdep.h" |
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1
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37 #include "utils.h" |
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1352
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38 #include "variables.h" |
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39 |
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40 #if defined (_AIX) && defined (__GNUG__) |
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41 #undef finite |
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42 #define finite(x) ((x) < DBL_MAX && (x) > -DBL_MAX) |
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43 #endif |
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44 |
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1173
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45 extern "C" |
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46 { |
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1255
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47 double F77_FCN (dgamma, DGAMMA) (const double&); |
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48 int F77_FCN (dlgams, DLGAMS) (const double&, double&, double&); |
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1173
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49 } |
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50 |
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65
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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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706
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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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767
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63 // Double -> double mappers. |
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1
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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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65
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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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1308
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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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65
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74 return 0.0; |
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1308
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75 #endif |
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1
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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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1
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98 return 0.0; |
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99 #endif |
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1
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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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624
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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 error ("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 error ("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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1
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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 (double) isnan (x); |
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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 (double) finite (x); |
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165 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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166 return (double) (! 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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624
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173 xgamma (double x) |
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174 { |
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175 return F77_FCN (dgamma, DGAMMA) (x); |
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624
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176 } |
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177 |
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178 double |
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179 xisinf (double x) |
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180 { |
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181 #if defined (HAVE_ISINF) |
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182 return (double) isinf (x); |
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183 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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184 return (double) (! (finite (x) || isnan (x))); |
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185 #else |
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186 return 0; |
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187 #endif |
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188 } |
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189 |
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624
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190 double |
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191 xlgamma (double x) |
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192 { |
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193 double result; |
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194 double sgngam; |
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195 |
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196 F77_FCN (dlgams, DLGAMS) (x, result, sgngam); |
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197 |
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198 return result; |
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624
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199 } |
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200 |
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201 // Complex -> double mappers. |
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202 |
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203 double |
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204 xisnan (const Complex& x) |
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205 { |
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206 #if defined (HAVE_ISNAN) |
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207 double rx = real (x); |
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208 double ix = imag (x); |
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209 return (double) (isnan (rx) || isnan (ix)); |
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210 #else |
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211 return 0; |
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212 #endif |
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213 } |
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214 |
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215 double |
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216 xfinite (const Complex& x) |
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217 { |
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218 double rx = real (x); |
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219 double ix = imag (x); |
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220 return (double) (! ((int) xisinf (rx) || (int) xisinf (ix))); |
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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 (double) (! (int) 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 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
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236 return retval; |
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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 Complex retval = log (x + sqrt (x*x - 1.0)); |
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243 return retval; |
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244 } |
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245 |
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246 Complex |
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247 asin (const Complex& x) |
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248 { |
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249 static Complex i (0, 1); |
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250 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
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251 return retval; |
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252 } |
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253 |
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254 Complex |
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255 asinh (const Complex& x) |
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256 { |
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257 Complex retval = log (x + sqrt (x*x + 1.0)); |
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258 return retval; |
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259 } |
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260 |
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261 Complex |
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262 atan (const Complex& x) |
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263 { |
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264 static Complex i (0, 1); |
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265 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
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266 return retval; |
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267 } |
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268 |
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269 Complex |
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270 atanh (const Complex& x) |
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271 { |
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272 static Complex i (0, 1); |
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273 Complex retval = log ((1 + x) / (1 - x)) / 2.0; |
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274 return retval; |
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275 } |
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276 |
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277 Complex |
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278 ceil (const Complex& x) |
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279 { |
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280 int re = (int) ceil (real (x)); |
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281 int im = (int) ceil (imag (x)); |
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282 return Complex (re, im); |
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283 } |
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284 |
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285 Complex |
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286 fix (const Complex& x) |
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287 { |
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288 int re = (int) real (x); |
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289 int im = (int) imag (x); |
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290 return Complex (re, im); |
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291 } |
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292 |
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293 Complex |
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294 floor (const Complex& x) |
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295 { |
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296 int re = (int) floor (real (x)); |
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297 int im = (int) floor (imag (x)); |
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298 return Complex (re, im); |
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299 } |
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300 |
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301 Complex |
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302 log10 (const Complex& x) |
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303 { |
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304 return M_LOG10E * log (x); |
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305 } |
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306 |
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307 Complex |
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308 round (const Complex& x) |
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309 { |
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310 double re = D_NINT (real (x)); |
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311 double im = D_NINT (imag (x)); |
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312 return Complex (re, im); |
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313 } |
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314 |
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315 Complex |
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316 signum (const Complex& x) |
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317 { |
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318 return x / abs (x); |
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319 } |
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320 |
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321 Complex |
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322 tan (const Complex& x) |
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323 { |
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324 Complex retval = sin (x) / cos (x); |
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325 return retval; |
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326 } |
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327 |
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328 Complex |
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329 tanh (const Complex& x) |
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330 { |
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331 Complex retval = sinh (x) / cosh (x); |
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332 return retval; |
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333 } |
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334 |
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335 void |
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336 install_mapper_functions (void) |
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337 { |
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338 DEFUN_MAPPER (abs, 0, 0.0, 0.0, fabs, abs, 0, |
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339 "abs (X): compute abs (X) for each element of X"); |
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340 |
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1957
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341 DEFUN_MAPPER (acos, 1, -1.0, 1.0, acos, 0, acos, |
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529
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342 "acos (X): compute acos (X) for each element of X"); |
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343 |
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1957
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344 DEFUN_MAPPER (acosh, 1, 1.0, DBL_MAX, acosh, 0, acosh, |
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529
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345 "acosh (X): compute acosh (X) for each element of X"); |
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346 |
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1957
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347 DEFUN_MAPPER (angle, 0, 0.0, 0.0, arg, arg, 0, |
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529
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348 "angle (X): compute arg (X) for each element of X"); |
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349 |
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1957
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350 DEFUN_MAPPER (arg, 0, 0.0, 0.0, arg, arg, 0, |
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529
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351 "arg (X): compute arg (X) for each element of X"); |
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352 |
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1957
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353 DEFUN_MAPPER (asin, 1, -1.0, 1.0, asin, 0, asin, |
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529
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354 "asin (X): compute asin (X) for each element of X"); |
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355 |
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1957
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356 DEFUN_MAPPER (asinh, 0, 0.0, 0.0, asinh, 0, asinh, |
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529
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357 "asinh (X): compute asinh (X) for each element of X"); |
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358 |
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1957
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359 DEFUN_MAPPER (atan, 0, 0.0, 0.0, atan, 0, atan, |
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529
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360 "atan (X): compute atan (X) for each element of X"); |
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361 |
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1957
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362 DEFUN_MAPPER (atanh, 1, -1.0, 1.0, atanh, 0, atanh, |
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529
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363 "atanh (X): compute atanh (X) for each element of X"); |
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364 |
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1957
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365 DEFUN_MAPPER (ceil, 0, 0.0, 0.0, ceil, 0, ceil, |
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529
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366 "ceil (X): round elements of X toward +Inf"); |
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367 |
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1957
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368 DEFUN_MAPPER (conj, 0, 0.0, 0.0, conj, 0, conj, |
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529
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369 "conj (X): compute complex conjugate for each element of X"); |
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370 |
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1957
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371 DEFUN_MAPPER (cos, 0, 0.0, 0.0, cos, 0, cos, |
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529
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372 "cos (X): compute cos (X) for each element of X"); |
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373 |
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1957
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374 DEFUN_MAPPER (cosh, 0, 0.0, 0.0, cosh, 0, cosh, |
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529
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375 "cosh (X): compute cosh (X) for each element of X"); |
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376 |
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1957
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377 DEFUN_MAPPER (erf, 0, 0.0, 0.0, xerf, 0, 0, |
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624
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378 "erf (X): compute erf (X) for each element of X"); |
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379 |
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1957
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380 DEFUN_MAPPER (erfc, 0, 0.0, 0.0, xerfc, 0, 0, |
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624
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381 "erfc (X): compute erfc (X) for each element of X"); |
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382 |
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1957
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383 DEFUN_MAPPER (exp, 0, 0.0, 0.0, exp, 0, exp, |
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529
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384 "exp (X): compute exp (X) for each element of X"); |
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385 |
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1957
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386 DEFUN_MAPPER (finite, 0, 0.0, 0.0, xfinite, xfinite, 0, |
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529
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387 "finite (X): return 1 for finite elements of X"); |
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388 |
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1957
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389 DEFUN_MAPPER (fix, 0, 0.0, 0.0, fix, 0, fix, |
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529
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390 "fix (X): round elements of X toward zero"); |
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391 |
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1957
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392 DEFUN_MAPPER (floor, 0, 0.0, 0.0, floor, 0, floor, |
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529
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393 "floor (X): round elements of X toward -Inf"); |
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394 |
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1957
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395 DEFUN_MAPPER (gamma, 0, 0.0, 0.0, xgamma, 0, 0, |
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624
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396 "gamma (X): compute gamma (X) for each element of X"); |
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397 |
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1957
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398 DEFUN_MAPPER (isinf, 0, 0.0, 0.0, xisinf, xisinf, 0, |
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529
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399 "isinf (X): return 1 for elements of X infinite"); |
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400 |
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1957
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401 DEFUN_MAPPER (imag, 0, 0.0, 0.0, imag, imag, 0, |
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529
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402 "imag (X): return imaginary part for each elements of X"); |
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403 |
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1957
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404 DEFUN_MAPPER (isnan, 0, 0.0, 0.0, xisnan, xisnan, 0, |
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529
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405 "isnan (X): return 1 where elements of X are NaNs"); |
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624
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406 |
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1957
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407 DEFUN_MAPPER (lgamma, 0, 0.0, 0.0, xlgamma, 0, 0, |
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624
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408 "lgamma (X): compute log gamma (X) for each element of X"); |
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529
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409 |
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1957
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410 DEFUN_MAPPER (log, 1, 0.0, DBL_MAX, log, 0, log, |
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529
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411 "log (X): compute log (X) for each element of X"); |
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412 |
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1957
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413 DEFUN_MAPPER (log10, 1, 0.0, DBL_MAX, log10, 0, log10, |
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529
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414 "log10 (X): compute log10 (X) for each element of X"); |
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415 |
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1957
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416 DEFUN_MAPPER (real, 0, 0.0, 0.0, real, real, 0, |
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529
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417 "real (X): return real part for each element of X"); |
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418 |
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1957
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419 DEFUN_MAPPER (round, 0, 0.0, 0.0, round, 0, round, |
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529
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420 "round (X): round elements of X to nearest integer"); |
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421 |
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1957
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422 DEFUN_MAPPER (sign, 0, 0.0, 0.0, signum, 0, signum, |
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529
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423 "sign (X): apply signum function to elements of X"); |
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424 |
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1957
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425 DEFUN_MAPPER (sin, 0, 0.0, 0.0, sin, 0, sin, |
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529
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426 "sin (X): compute sin (X) for each element of X"); |
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427 |
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1957
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428 DEFUN_MAPPER (sinh, 0, 0.0, 0.0, sinh, 0, sinh, |
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529
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429 "sinh (X): compute sinh (X) for each element of X"); |
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430 |
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1957
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431 DEFUN_MAPPER (sqrt, 1, 0.0, DBL_MAX, sqrt, 0, sqrt, |
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529
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432 "sqrt (X): compute sqrt (X) for each element of X"); |
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433 |
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1957
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434 DEFUN_MAPPER (tan, 0, 0.0, 0.0, tan, 0, tan, |
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529
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435 "tan (X): compute tan (X) for each element of X"); |
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436 |
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1957
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437 DEFUN_MAPPER (tanh, 0, 0.0, 0.0, tanh, 0, tanh, |
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529
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438 "tanh (X): compute tanh (X) for each element of X"); |
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1562
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439 |
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440 DEFALIAS (gammaln, lgamma); |
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529
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441 } |
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442 |
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1
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443 /* |
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444 ;;; Local Variables: *** |
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445 ;;; mode: C++ *** |
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446 ;;; End: *** |
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447 */ |
