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1 /* |
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2 |
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3 Copyright (C) 1996 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 2, or (at your option) any |
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10 later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include "Range.h" |
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28 #include "CColVector.h" |
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29 #include "CMatrix.h" |
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30 #include "dRowVector.h" |
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31 #include "dMatrix.h" |
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32 #include "dNDArray.h" |
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33 #include "CNDArray.h" |
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34 #include "f77-fcn.h" |
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35 #include "lo-error.h" |
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36 #include "lo-ieee.h" |
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37 #include "lo-specfun.h" |
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38 #include "mx-inlines.cc" |
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39 |
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40 #ifndef M_PI |
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41 #define M_PI 3.14159265358979323846 |
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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 F77_RET_T |
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47 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&, |
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48 const int&, const int&, double*, double*, |
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49 int&, int&); |
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50 |
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51 F77_RET_T |
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52 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&, |
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53 const int&, const int&, double*, double*, |
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54 int&, double*, double*, int&); |
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55 |
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56 F77_RET_T |
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57 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&, |
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58 const int&, const int&, double*, double*, |
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59 int&, int&); |
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60 |
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61 F77_RET_T |
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62 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&, |
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63 const int&, const int&, double*, double*, |
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64 int&, int&); |
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65 |
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66 F77_RET_T |
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67 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&, |
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68 const int&, const int&, const int&, double*, |
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69 double*, int&, int&); |
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70 |
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71 F77_RET_T |
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72 F77_FUNC (zairy, ZAIRY) (const double&, const double&, const int&, |
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73 const int&, double&, double&, int&, int&); |
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74 |
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75 F77_RET_T |
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76 F77_FUNC (zbiry, ZBIRY) (const double&, const double&, const int&, |
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77 const int&, double&, double&, int&); |
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78 |
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79 F77_RET_T |
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80 F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
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81 |
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82 F77_RET_T |
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83 F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
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84 |
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85 F77_RET_T |
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86 F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
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87 |
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88 F77_RET_T |
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89 F77_FUNC (xderf, XDERF) (const double&, double&); |
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90 |
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91 F77_RET_T |
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92 F77_FUNC (xderfc, XDERFC) (const double&, double&); |
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93 |
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94 F77_RET_T |
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95 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
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96 const double&, double&); |
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97 |
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98 F77_RET_T |
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99 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
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100 |
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101 F77_RET_T |
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102 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
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103 |
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104 F77_RET_T |
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105 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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106 } |
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107 |
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108 #if !defined (HAVE_ACOSH) |
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109 double |
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110 acosh (double x) |
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111 { |
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112 double retval; |
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113 F77_FUNC (xdacosh, XDACOSH) (x, retval); |
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114 return retval; |
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115 } |
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116 #endif |
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117 |
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118 #if !defined (HAVE_ASINH) |
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119 double |
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120 asinh (double x) |
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121 { |
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122 double retval; |
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123 F77_FUNC (xdasinh, XDASINH) (x, retval); |
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124 return retval; |
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125 } |
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126 #endif |
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127 |
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128 #if !defined (HAVE_ATANH) |
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129 double |
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130 atanh (double x) |
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131 { |
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132 double retval; |
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133 F77_FUNC (xdatanh, XDATANH) (x, retval); |
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134 return retval; |
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135 } |
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136 #endif |
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137 |
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138 #if !defined (HAVE_ERF) |
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139 double |
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140 erf (double x) |
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141 { |
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142 double retval; |
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143 F77_FUNC (xderf, XDERF) (x, retval); |
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144 return retval; |
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145 } |
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146 #endif |
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147 |
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148 #if !defined (HAVE_ERFC) |
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149 double |
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150 erfc (double x) |
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151 { |
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152 double retval; |
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153 F77_FUNC (xderfc, XDERFC) (x, retval); |
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154 return retval; |
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155 } |
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156 #endif |
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157 |
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158 double |
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159 xgamma (double x) |
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160 { |
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161 double result; |
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162 F77_FUNC (xdgamma, XDGAMMA) (x, result); |
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163 return result; |
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164 } |
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165 |
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166 double |
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167 xlgamma (double x) |
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168 { |
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169 double result; |
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170 double sgngam; |
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171 |
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172 if (x < 0) |
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173 (*current_liboctave_error_handler) |
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174 ("xlgamma: argument must be nonnegative"); |
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175 |
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176 F77_FUNC (dlgams, DLGAMS) (x, result, sgngam); |
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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 static inline Complex |
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182 zbesj (const Complex& z, double alpha, int kode, int& ierr); |
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183 |
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184 static inline Complex |
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185 zbesy (const Complex& z, double alpha, int kode, int& ierr); |
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186 |
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187 static inline Complex |
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188 zbesi (const Complex& z, double alpha, int kode, int& ierr); |
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189 |
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190 static inline Complex |
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191 zbesk (const Complex& z, double alpha, int kode, int& ierr); |
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192 |
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193 static inline Complex |
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194 zbesh1 (const Complex& z, double alpha, int kode, int& ierr); |
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195 |
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196 static inline Complex |
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197 zbesh2 (const Complex& z, double alpha, int kode, int& ierr); |
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198 |
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199 static inline Complex |
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200 bessel_return_value (const Complex& val, int ierr) |
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201 { |
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202 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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203 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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204 |
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205 Complex retval; |
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206 |
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207 switch (ierr) |
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208 { |
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209 case 0: |
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210 case 3: |
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211 retval = val; |
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212 break; |
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213 |
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214 case 2: |
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215 retval = inf_val; |
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216 break; |
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217 |
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218 default: |
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219 retval = nan_val; |
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220 break; |
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221 } |
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222 |
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223 return retval; |
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224 } |
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225 |
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226 static inline bool |
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227 is_integer_value (double x) |
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228 { |
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229 return x == static_cast<double> (static_cast<long> (x)); |
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230 } |
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231 |
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232 static inline Complex |
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233 zbesj (const Complex& z, double alpha, int kode, int& ierr) |
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234 { |
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235 Complex retval; |
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236 |
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237 if (alpha >= 0.0) |
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238 { |
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239 double yr = 0.0; |
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240 double yi = 0.0; |
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241 |
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242 int nz; |
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243 |
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244 double zr = z.real (); |
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245 double zi = z.imag (); |
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246 |
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247 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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248 |
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249 if (kode != 2) |
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250 { |
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251 double expz = exp (std::abs (zi)); |
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252 yr *= expz; |
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253 yi *= expz; |
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254 } |
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255 |
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256 if (zi == 0.0 && zr >= 0.0) |
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257 yi = 0.0; |
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258 |
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259 retval = bessel_return_value (Complex (yr, yi), ierr); |
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260 } |
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261 else if (is_integer_value (alpha)) |
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262 { |
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263 // zbesy can overflow as z->0, and cause troubles for generic case below |
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264 alpha = -alpha; |
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265 Complex tmp = zbesj (z, alpha, kode, ierr); |
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266 if ((static_cast <long> (alpha)) & 1) |
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267 tmp = - tmp; |
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268 retval = bessel_return_value (tmp, ierr); |
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269 } |
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270 else |
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271 { |
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272 alpha = -alpha; |
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273 |
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274 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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275 |
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276 if (ierr == 0 || ierr == 3) |
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277 { |
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278 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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279 |
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280 retval = bessel_return_value (tmp, ierr); |
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281 } |
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282 else |
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283 retval = Complex (octave_NaN, octave_NaN); |
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284 } |
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285 |
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286 return retval; |
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287 } |
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288 |
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289 static inline Complex |
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290 zbesy (const Complex& z, double alpha, int kode, int& ierr) |
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291 { |
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292 Complex retval; |
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293 |
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294 if (alpha >= 0.0) |
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295 { |
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296 double yr = 0.0; |
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297 double yi = 0.0; |
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298 |
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299 int nz; |
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300 |
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301 double wr, wi; |
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302 |
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303 double zr = z.real (); |
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304 double zi = z.imag (); |
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305 |
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306 ierr = 0; |
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307 |
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308 if (zr == 0.0 && zi == 0.0) |
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309 { |
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310 yr = -octave_Inf; |
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311 yi = 0.0; |
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312 } |
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313 else |
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314 { |
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315 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
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316 &wr, &wi, ierr); |
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317 |
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318 if (kode != 2) |
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319 { |
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320 double expz = exp (std::abs (zi)); |
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321 yr *= expz; |
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322 yi *= expz; |
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323 } |
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324 |
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325 if (zi == 0.0 && zr >= 0.0) |
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326 yi = 0.0; |
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327 } |
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328 |
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329 return bessel_return_value (Complex (yr, yi), ierr); |
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330 } |
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331 else if (is_integer_value (alpha - 0.5)) |
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332 { |
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333 // zbesy can overflow as z->0, and cause troubles for generic case below |
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334 alpha = -alpha; |
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335 Complex tmp = zbesj (z, alpha, kode, ierr); |
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336 if ((static_cast <long> (alpha - 0.5)) & 1) |
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337 tmp = - tmp; |
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338 retval = bessel_return_value (tmp, ierr); |
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339 } |
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340 else |
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341 { |
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342 alpha = -alpha; |
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343 |
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344 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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345 |
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346 if (ierr == 0 || ierr == 3) |
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347 { |
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348 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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349 |
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350 retval = bessel_return_value (tmp, ierr); |
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351 } |
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352 else |
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353 retval = Complex (octave_NaN, octave_NaN); |
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354 } |
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355 |
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356 return retval; |
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357 } |
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358 |
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359 static inline Complex |
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360 zbesi (const Complex& z, double alpha, int kode, int& ierr) |
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361 { |
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362 Complex retval; |
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363 |
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364 if (alpha >= 0.0) |
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365 { |
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366 double yr = 0.0; |
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367 double yi = 0.0; |
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368 |
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369 int nz; |
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370 |
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371 double zr = z.real (); |
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372 double zi = z.imag (); |
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373 |
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374 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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375 |
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376 if (kode != 2) |
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377 { |
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378 double expz = exp (std::abs (zr)); |
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379 yr *= expz; |
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380 yi *= expz; |
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381 } |
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382 |
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383 if (zi == 0.0 && zr >= 0.0) |
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384 yi = 0.0; |
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385 |
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386 retval = bessel_return_value (Complex (yr, yi), ierr); |
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387 } |
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388 else |
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389 { |
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390 alpha = -alpha; |
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391 |
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392 Complex tmp = zbesi (z, alpha, kode, ierr); |
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393 |
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394 if (ierr == 0 || ierr == 3) |
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395 { |
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396 if (! is_integer_value (alpha - 0.5)) |
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397 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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398 * zbesk (z, alpha, kode, ierr); |
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399 |
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400 retval = bessel_return_value (tmp, ierr); |
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401 } |
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402 else |
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403 retval = Complex (octave_NaN, octave_NaN); |
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404 } |
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405 |
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406 return retval; |
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407 } |
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408 |
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409 static inline Complex |
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410 zbesk (const Complex& z, double alpha, int kode, int& ierr) |
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411 { |
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412 Complex retval; |
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413 |
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414 if (alpha >= 0.0) |
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415 { |
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416 double yr = 0.0; |
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417 double yi = 0.0; |
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418 |
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419 int nz; |
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420 |
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421 double zr = z.real (); |
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422 double zi = z.imag (); |
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423 |
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424 ierr = 0; |
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425 |
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426 if (zr == 0.0 && zi == 0.0) |
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427 { |
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428 yr = octave_Inf; |
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429 yi = 0.0; |
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430 } |
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431 else |
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432 { |
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433 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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434 |
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435 if (kode != 2) |
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436 { |
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437 Complex expz = exp (-z); |
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438 |
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439 double rexpz = real (expz); |
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440 double iexpz = imag (expz); |
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441 |
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442 double tmp = yr*rexpz - yi*iexpz; |
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443 |
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444 yi = yr*iexpz + yi*rexpz; |
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445 yr = tmp; |
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446 } |
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447 |
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448 if (zi == 0.0 && zr >= 0.0) |
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449 yi = 0.0; |
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450 } |
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451 |
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452 retval = bessel_return_value (Complex (yr, yi), ierr); |
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453 } |
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454 else |
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455 { |
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456 Complex tmp = zbesk (z, -alpha, kode, ierr); |
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457 |
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458 retval = bessel_return_value (tmp, ierr); |
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459 } |
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460 |
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461 return retval; |
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462 } |
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463 |
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464 static inline Complex |
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465 zbesh1 (const Complex& z, double alpha, int kode, int& ierr) |
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466 { |
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3220
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467 Complex retval; |
|
3146
|
468 |
|
3220
|
469 if (alpha >= 0.0) |
|
3146
|
470 { |
|
3220
|
471 double yr = 0.0; |
|
|
472 double yi = 0.0; |
|
|
473 |
|
|
474 int nz; |
|
|
475 |
|
|
476 double zr = z.real (); |
|
|
477 double zi = z.imag (); |
|
3146
|
478 |
|
4506
|
479 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
|
|
480 |
|
|
481 if (kode != 2) |
|
|
482 { |
|
|
483 Complex expz = exp (Complex (0.0, 1.0) * z); |
|
|
484 |
|
|
485 double rexpz = real (expz); |
|
|
486 double iexpz = imag (expz); |
|
|
487 |
|
|
488 double tmp = yr*rexpz - yi*iexpz; |
|
|
489 |
|
|
490 yi = yr*iexpz + yi*rexpz; |
|
|
491 yr = tmp; |
|
|
492 } |
|
3146
|
493 |
|
3220
|
494 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
495 } |
|
|
496 else |
|
|
497 { |
|
|
498 alpha = -alpha; |
|
|
499 |
|
|
500 static const Complex eye = Complex (0.0, 1.0); |
|
3146
|
501 |
|
3220
|
502 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
|
3146
|
503 |
|
3220
|
504 retval = bessel_return_value (tmp, ierr); |
|
|
505 } |
|
3146
|
506 |
|
3220
|
507 return retval; |
|
|
508 } |
|
3146
|
509 |
|
3220
|
510 static inline Complex |
|
|
511 zbesh2 (const Complex& z, double alpha, int kode, int& ierr) |
|
|
512 { |
|
|
513 Complex retval; |
|
3146
|
514 |
|
3220
|
515 if (alpha >= 0.0) |
|
|
516 { |
|
|
517 double yr = 0.0; |
|
|
518 double yi = 0.0; |
|
|
519 |
|
|
520 int nz; |
|
3146
|
521 |
|
3220
|
522 double zr = z.real (); |
|
|
523 double zi = z.imag (); |
|
3146
|
524 |
|
4506
|
525 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
|
|
526 |
|
|
527 if (kode != 2) |
|
|
528 { |
|
|
529 Complex expz = exp (-Complex (0.0, 1.0) * z); |
|
|
530 |
|
|
531 double rexpz = real (expz); |
|
|
532 double iexpz = imag (expz); |
|
|
533 |
|
|
534 double tmp = yr*rexpz - yi*iexpz; |
|
|
535 |
|
|
536 yi = yr*iexpz + yi*rexpz; |
|
|
537 yr = tmp; |
|
|
538 } |
|
3220
|
539 |
|
|
540 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
3146
|
541 } |
|
|
542 else |
|
3220
|
543 { |
|
|
544 alpha = -alpha; |
|
|
545 |
|
|
546 static const Complex eye = Complex (0.0, 1.0); |
|
|
547 |
|
|
548 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
|
|
549 |
|
|
550 retval = bessel_return_value (tmp, ierr); |
|
|
551 } |
|
|
552 |
|
|
553 return retval; |
|
|
554 } |
|
|
555 |
|
|
556 typedef Complex (*fptr) (const Complex&, double, int, int&); |
|
|
557 |
|
|
558 static inline Complex |
|
|
559 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
|
|
560 bool scaled, int& ierr) |
|
|
561 { |
|
|
562 Complex retval; |
|
|
563 |
|
|
564 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
|
|
565 |
|
|
566 return retval; |
|
|
567 } |
|
|
568 |
|
|
569 static inline ComplexMatrix |
|
|
570 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
|
|
571 bool scaled, Array2<int>& ierr) |
|
|
572 { |
|
|
573 int nr = x.rows (); |
|
|
574 int nc = x.cols (); |
|
|
575 |
|
|
576 ComplexMatrix retval (nr, nc); |
|
|
577 |
|
|
578 ierr.resize (nr, nc); |
|
|
579 |
|
|
580 for (int j = 0; j < nc; j++) |
|
|
581 for (int i = 0; i < nr; i++) |
|
|
582 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
583 |
|
|
584 return retval; |
|
|
585 } |
|
|
586 |
|
|
587 static inline ComplexMatrix |
|
|
588 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
|
589 bool scaled, Array2<int>& ierr) |
|
|
590 { |
|
|
591 int nr = alpha.rows (); |
|
|
592 int nc = alpha.cols (); |
|
|
593 |
|
|
594 ComplexMatrix retval (nr, nc); |
|
|
595 |
|
|
596 ierr.resize (nr, nc); |
|
|
597 |
|
|
598 for (int j = 0; j < nc; j++) |
|
|
599 for (int i = 0; i < nr; i++) |
|
|
600 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
601 |
|
|
602 return retval; |
|
|
603 } |
|
|
604 |
|
3220
|
605 static inline ComplexMatrix |
|
|
606 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
|
607 const ComplexMatrix& x, bool scaled, Array2<int>& ierr) |
|
3146
|
608 { |
|
3220
|
609 ComplexMatrix retval; |
|
|
610 |
|
|
611 int x_nr = x.rows (); |
|
|
612 int x_nc = x.cols (); |
|
|
613 |
|
|
614 int alpha_nr = alpha.rows (); |
|
|
615 int alpha_nc = alpha.cols (); |
|
|
616 |
|
|
617 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
618 { |
|
|
619 int nr = x_nr; |
|
|
620 int nc = x_nc; |
|
|
621 |
|
|
622 retval.resize (nr, nc); |
|
|
623 |
|
|
624 ierr.resize (nr, nc); |
|
|
625 |
|
|
626 for (int j = 0; j < nc; j++) |
|
|
627 for (int i = 0; i < nr; i++) |
|
|
628 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
629 } |
|
|
630 else |
|
|
631 (*current_liboctave_error_handler) |
|
|
632 ("%s: the sizes of alpha and x must conform", fn); |
|
|
633 |
|
|
634 return retval; |
|
3146
|
635 } |
|
|
636 |
|
4844
|
637 static inline ComplexNDArray |
|
|
638 do_bessel (fptr f, const char *, double alpha, const ComplexNDArray& x, |
|
|
639 bool scaled, ArrayN<int>& ierr) |
|
|
640 { |
|
|
641 dim_vector dv = x.dims (); |
|
|
642 int nel = dv.numel (); |
|
|
643 ComplexNDArray retval (dv); |
|
|
644 |
|
|
645 ierr.resize (dv); |
|
|
646 |
|
|
647 for (int i = 0; i < nel; i++) |
|
|
648 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
|
|
649 |
|
|
650 return retval; |
|
|
651 } |
|
|
652 |
|
|
653 static inline ComplexNDArray |
|
|
654 do_bessel (fptr f, const char *, const NDArray& alpha, const Complex& x, |
|
|
655 bool scaled, ArrayN<int>& ierr) |
|
|
656 { |
|
|
657 dim_vector dv = alpha.dims (); |
|
|
658 int nel = dv.numel (); |
|
|
659 ComplexNDArray retval (dv); |
|
|
660 |
|
|
661 ierr.resize (dv); |
|
|
662 |
|
|
663 for (int i = 0; i < nel; i++) |
|
|
664 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
665 |
|
|
666 return retval; |
|
|
667 } |
|
|
668 |
|
|
669 static inline ComplexNDArray |
|
|
670 do_bessel (fptr f, const char *fn, const NDArray& alpha, |
|
|
671 const ComplexNDArray& x, bool scaled, ArrayN<int>& ierr) |
|
|
672 { |
|
|
673 dim_vector dv = x.dims (); |
|
|
674 ComplexNDArray retval; |
|
|
675 |
|
|
676 if (dv == alpha.dims ()) |
|
|
677 { |
|
|
678 int nel = dv.numel (); |
|
|
679 |
|
|
680 retval.resize (dv); |
|
|
681 ierr.resize (dv); |
|
|
682 |
|
|
683 for (int i = 0; i < nel; i++) |
|
|
684 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
685 } |
|
|
686 else |
|
|
687 (*current_liboctave_error_handler) |
|
|
688 ("%s: the sizes of alpha and x must conform", fn); |
|
|
689 |
|
|
690 return retval; |
|
|
691 } |
|
|
692 |
|
3220
|
693 static inline ComplexMatrix |
|
|
694 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
|
695 const ComplexColumnVector& x, bool scaled, Array2<int>& ierr) |
|
3146
|
696 { |
|
3220
|
697 int nr = x.length (); |
|
|
698 int nc = alpha.length (); |
|
|
699 |
|
|
700 ComplexMatrix retval (nr, nc); |
|
3146
|
701 |
|
3220
|
702 ierr.resize (nr, nc); |
|
|
703 |
|
|
704 for (int j = 0; j < nc; j++) |
|
|
705 for (int i = 0; i < nr; i++) |
|
|
706 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
707 |
|
|
708 return retval; |
|
3146
|
709 } |
|
|
710 |
|
3220
|
711 #define SS_BESSEL(name, fcn) \ |
|
|
712 Complex \ |
|
|
713 name (double alpha, const Complex& x, bool scaled, int& ierr) \ |
|
|
714 { \ |
|
|
715 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
716 } |
|
|
717 |
|
|
718 #define SM_BESSEL(name, fcn) \ |
|
|
719 ComplexMatrix \ |
|
|
720 name (double alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
721 Array2<int>& ierr) \ |
|
|
722 { \ |
|
|
723 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
724 } |
|
|
725 |
|
|
726 #define MS_BESSEL(name, fcn) \ |
|
|
727 ComplexMatrix \ |
|
|
728 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
|
729 Array2<int>& ierr) \ |
|
|
730 { \ |
|
|
731 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
732 } |
|
|
733 |
|
|
734 #define MM_BESSEL(name, fcn) \ |
|
|
735 ComplexMatrix \ |
|
|
736 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
737 Array2<int>& ierr) \ |
|
|
738 { \ |
|
|
739 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
740 } |
|
|
741 |
|
4844
|
742 #define SN_BESSEL(name, fcn) \ |
|
|
743 ComplexNDArray \ |
|
|
744 name (double alpha, const ComplexNDArray& x, bool scaled, \ |
|
|
745 ArrayN<int>& ierr) \ |
|
|
746 { \ |
|
|
747 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
748 } |
|
|
749 |
|
|
750 #define NS_BESSEL(name, fcn) \ |
|
|
751 ComplexNDArray \ |
|
|
752 name (const NDArray& alpha, const Complex& x, bool scaled, \ |
|
|
753 ArrayN<int>& ierr) \ |
|
|
754 { \ |
|
|
755 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
756 } |
|
|
757 |
|
|
758 #define NN_BESSEL(name, fcn) \ |
|
|
759 ComplexNDArray \ |
|
|
760 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \ |
|
|
761 ArrayN<int>& ierr) \ |
|
|
762 { \ |
|
|
763 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
764 } |
|
|
765 |
|
3220
|
766 #define RC_BESSEL(name, fcn) \ |
|
|
767 ComplexMatrix \ |
|
|
768 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
|
769 Array2<int>& ierr) \ |
|
|
770 { \ |
|
|
771 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
772 } |
|
|
773 |
|
|
774 #define ALL_BESSEL(name, fcn) \ |
|
|
775 SS_BESSEL (name, fcn) \ |
|
|
776 SM_BESSEL (name, fcn) \ |
|
|
777 MS_BESSEL (name, fcn) \ |
|
|
778 MM_BESSEL (name, fcn) \ |
|
4844
|
779 SN_BESSEL (name, fcn) \ |
|
|
780 NS_BESSEL (name, fcn) \ |
|
|
781 NN_BESSEL (name, fcn) \ |
|
3220
|
782 RC_BESSEL (name, fcn) |
|
|
783 |
|
|
784 ALL_BESSEL (besselj, zbesj) |
|
|
785 ALL_BESSEL (bessely, zbesy) |
|
|
786 ALL_BESSEL (besseli, zbesi) |
|
|
787 ALL_BESSEL (besselk, zbesk) |
|
|
788 ALL_BESSEL (besselh1, zbesh1) |
|
|
789 ALL_BESSEL (besselh2, zbesh2) |
|
|
790 |
|
|
791 Complex |
|
|
792 airy (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
793 { |
|
3220
|
794 double ar = 0.0; |
|
|
795 double ai = 0.0; |
|
|
796 |
|
|
797 int nz; |
|
|
798 |
|
|
799 double zr = z.real (); |
|
|
800 double zi = z.imag (); |
|
3146
|
801 |
|
3220
|
802 int id = deriv ? 1 : 0; |
|
|
803 |
|
4506
|
804 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
|
|
805 |
|
|
806 if (! scaled) |
|
|
807 { |
|
|
808 Complex expz = exp (- 2.0 / 3.0 * z * sqrt(z)); |
|
3220
|
809 |
|
4506
|
810 double rexpz = real (expz); |
|
|
811 double iexpz = imag (expz); |
|
|
812 |
|
|
813 double tmp = ar*rexpz - ai*iexpz; |
|
|
814 |
|
|
815 ai = ar*iexpz + ai*rexpz; |
|
|
816 ar = tmp; |
|
|
817 } |
|
3220
|
818 |
|
4490
|
819 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
820 ai = 0.0; |
|
|
821 |
|
3220
|
822 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
823 } |
|
|
824 |
|
3220
|
825 Complex |
|
|
826 biry (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
827 { |
|
3220
|
828 double ar = 0.0; |
|
|
829 double ai = 0.0; |
|
|
830 |
|
|
831 double zr = z.real (); |
|
|
832 double zi = z.imag (); |
|
|
833 |
|
|
834 int id = deriv ? 1 : 0; |
|
|
835 |
|
4506
|
836 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
|
|
837 |
|
|
838 if (! scaled) |
|
|
839 { |
|
|
840 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); |
|
3220
|
841 |
|
4506
|
842 double rexpz = real (expz); |
|
|
843 double iexpz = imag (expz); |
|
|
844 |
|
|
845 double tmp = ar*rexpz - ai*iexpz; |
|
|
846 |
|
|
847 ai = ar*iexpz + ai*rexpz; |
|
|
848 ar = tmp; |
|
|
849 } |
|
3220
|
850 |
|
4490
|
851 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
852 ai = 0.0; |
|
|
853 |
|
3220
|
854 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
855 } |
|
|
856 |
|
3220
|
857 ComplexMatrix |
|
|
858 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
859 { |
|
3220
|
860 int nr = z.rows (); |
|
|
861 int nc = z.cols (); |
|
|
862 |
|
|
863 ComplexMatrix retval (nr, nc); |
|
|
864 |
|
|
865 ierr.resize (nr, nc); |
|
|
866 |
|
|
867 for (int j = 0; j < nc; j++) |
|
|
868 for (int i = 0; i < nr; i++) |
|
|
869 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
870 |
|
|
871 return retval; |
|
3146
|
872 } |
|
|
873 |
|
3220
|
874 ComplexMatrix |
|
|
875 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
876 { |
|
3220
|
877 int nr = z.rows (); |
|
|
878 int nc = z.cols (); |
|
|
879 |
|
|
880 ComplexMatrix retval (nr, nc); |
|
|
881 |
|
|
882 ierr.resize (nr, nc); |
|
|
883 |
|
|
884 for (int j = 0; j < nc; j++) |
|
|
885 for (int i = 0; i < nr; i++) |
|
|
886 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
887 |
|
|
888 return retval; |
|
3146
|
889 } |
|
|
890 |
|
4844
|
891 ComplexNDArray |
|
|
892 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<int>& ierr) |
|
|
893 { |
|
|
894 dim_vector dv = z.dims (); |
|
|
895 int nel = dv.numel (); |
|
|
896 ComplexNDArray retval (dv); |
|
|
897 |
|
|
898 ierr.resize (dv); |
|
|
899 |
|
|
900 for (int i = 0; i < nel; i++) |
|
|
901 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
|
|
902 |
|
|
903 return retval; |
|
|
904 } |
|
|
905 |
|
|
906 ComplexNDArray |
|
|
907 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<int>& ierr) |
|
|
908 { |
|
|
909 dim_vector dv = z.dims (); |
|
|
910 int nel = dv.numel (); |
|
|
911 ComplexNDArray retval (dv); |
|
|
912 |
|
|
913 ierr.resize (dv); |
|
|
914 |
|
|
915 for (int i = 0; i < nel; i++) |
|
|
916 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
|
|
917 |
|
|
918 return retval; |
|
|
919 } |
|
|
920 |
|
3146
|
921 static void |
|
|
922 gripe_betainc_nonconformant (int r1, int c1, int r2, int c2, int r3, |
|
|
923 int c3) |
|
|
924 { |
|
|
925 (*current_liboctave_error_handler) |
|
|
926 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
927 r1, c1, r2, c2, r3, c3); |
|
|
928 } |
|
|
929 |
|
4844
|
930 static dim_vector null_dims (0); |
|
|
931 |
|
|
932 static void |
|
|
933 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2, |
|
|
934 const dim_vector& d3) |
|
|
935 { |
|
|
936 std::string d1_str = d1.str (); |
|
|
937 std::string d2_str = d2.str (); |
|
|
938 std::string d3_str = d3.str (); |
|
|
939 |
|
|
940 (*current_liboctave_error_handler) |
|
|
941 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", |
|
|
942 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); |
|
|
943 } |
|
|
944 |
|
3146
|
945 double |
|
|
946 betainc (double x, double a, double b) |
|
|
947 { |
|
|
948 double retval; |
|
4180
|
949 F77_FUNC (xdbetai, XDBETAI) (x, a, b, retval); |
|
3146
|
950 return retval; |
|
|
951 } |
|
|
952 |
|
|
953 Matrix |
|
|
954 betainc (double x, double a, const Matrix& b) |
|
|
955 { |
|
|
956 int nr = b.rows (); |
|
|
957 int nc = b.cols (); |
|
|
958 |
|
|
959 Matrix retval (nr, nc); |
|
|
960 |
|
|
961 for (int j = 0; j < nc; j++) |
|
|
962 for (int i = 0; i < nr; i++) |
|
|
963 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
964 |
|
|
965 return retval; |
|
|
966 } |
|
|
967 |
|
|
968 Matrix |
|
|
969 betainc (double x, const Matrix& a, double b) |
|
|
970 { |
|
|
971 int nr = a.rows (); |
|
|
972 int nc = a.cols (); |
|
|
973 |
|
|
974 Matrix retval (nr, nc); |
|
|
975 |
|
|
976 for (int j = 0; j < nc; j++) |
|
|
977 for (int i = 0; i < nr; i++) |
|
|
978 retval(i,j) = betainc (x, a(i,j), b); |
|
|
979 |
|
|
980 return retval; |
|
|
981 } |
|
|
982 |
|
|
983 Matrix |
|
|
984 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
985 { |
|
|
986 Matrix retval; |
|
|
987 |
|
|
988 int a_nr = a.rows (); |
|
|
989 int a_nc = a.cols (); |
|
|
990 |
|
|
991 int b_nr = b.rows (); |
|
|
992 int b_nc = b.cols (); |
|
|
993 |
|
|
994 if (a_nr == b_nr && a_nc == b_nc) |
|
|
995 { |
|
|
996 retval.resize (a_nr, a_nc); |
|
|
997 |
|
|
998 for (int j = 0; j < a_nc; j++) |
|
|
999 for (int i = 0; i < a_nr; i++) |
|
|
1000 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
1001 } |
|
|
1002 else |
|
|
1003 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
1004 |
|
|
1005 return retval; |
|
|
1006 } |
|
|
1007 |
|
4844
|
1008 NDArray |
|
|
1009 betainc (double x, double a, const NDArray& b) |
|
|
1010 { |
|
|
1011 dim_vector dv = b.dims (); |
|
|
1012 int nel = dv.numel (); |
|
|
1013 |
|
|
1014 NDArray retval (dv); |
|
|
1015 |
|
|
1016 for (int i = 0; i < nel; i++) |
|
|
1017 retval (i) = betainc (x, a, b(i)); |
|
|
1018 |
|
|
1019 return retval; |
|
|
1020 } |
|
|
1021 |
|
|
1022 NDArray |
|
|
1023 betainc (double x, const NDArray& a, double b) |
|
|
1024 { |
|
|
1025 dim_vector dv = a.dims (); |
|
|
1026 int nel = dv.numel (); |
|
|
1027 |
|
|
1028 NDArray retval (dv); |
|
|
1029 |
|
|
1030 for (int i = 0; i < nel; i++) |
|
|
1031 retval (i) = betainc (x, a(i), b); |
|
|
1032 |
|
|
1033 return retval; |
|
|
1034 } |
|
|
1035 |
|
|
1036 NDArray |
|
|
1037 betainc (double x, const NDArray& a, const NDArray& b) |
|
|
1038 { |
|
|
1039 NDArray retval; |
|
|
1040 dim_vector dv = a.dims (); |
|
|
1041 |
|
|
1042 if (dv == b.dims ()) |
|
|
1043 { |
|
|
1044 int nel = dv.numel (); |
|
|
1045 |
|
|
1046 retval.resize (dv); |
|
|
1047 |
|
|
1048 for (int i = 0; i < nel; i++) |
|
|
1049 retval (i) = betainc (x, a(i), b(i)); |
|
|
1050 } |
|
|
1051 else |
|
|
1052 gripe_betainc_nonconformant (dim_vector (0), dv, b.dims ()); |
|
|
1053 |
|
|
1054 return retval; |
|
|
1055 } |
|
|
1056 |
|
|
1057 |
|
3146
|
1058 Matrix |
|
|
1059 betainc (const Matrix& x, double a, double b) |
|
|
1060 { |
|
|
1061 int nr = x.rows (); |
|
|
1062 int nc = x.cols (); |
|
|
1063 |
|
|
1064 Matrix retval (nr, nc); |
|
|
1065 |
|
|
1066 for (int j = 0; j < nc; j++) |
|
|
1067 for (int i = 0; i < nr; i++) |
|
|
1068 retval(i,j) = betainc (x(i,j), a, b); |
|
|
1069 |
|
|
1070 return retval; |
|
|
1071 } |
|
|
1072 |
|
|
1073 Matrix |
|
|
1074 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
1075 { |
|
|
1076 Matrix retval; |
|
|
1077 |
|
|
1078 int nr = x.rows (); |
|
|
1079 int nc = x.cols (); |
|
|
1080 |
|
|
1081 int b_nr = b.rows (); |
|
|
1082 int b_nc = b.cols (); |
|
|
1083 |
|
|
1084 if (nr == b_nr && nc == b_nc) |
|
|
1085 { |
|
|
1086 retval.resize (nr, nc); |
|
|
1087 |
|
|
1088 for (int j = 0; j < nc; j++) |
|
|
1089 for (int i = 0; i < nr; i++) |
|
|
1090 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
1091 } |
|
|
1092 else |
|
|
1093 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
1094 |
|
|
1095 return retval; |
|
|
1096 } |
|
|
1097 |
|
|
1098 Matrix |
|
|
1099 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
1100 { |
|
|
1101 Matrix retval; |
|
|
1102 |
|
|
1103 int nr = x.rows (); |
|
|
1104 int nc = x.cols (); |
|
|
1105 |
|
|
1106 int a_nr = a.rows (); |
|
|
1107 int a_nc = a.cols (); |
|
|
1108 |
|
|
1109 if (nr == a_nr && nc == a_nc) |
|
|
1110 { |
|
|
1111 retval.resize (nr, nc); |
|
|
1112 |
|
|
1113 for (int j = 0; j < nc; j++) |
|
|
1114 for (int i = 0; i < nr; i++) |
|
|
1115 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
1116 } |
|
|
1117 else |
|
|
1118 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
1119 |
|
|
1120 return retval; |
|
|
1121 } |
|
|
1122 |
|
|
1123 Matrix |
|
|
1124 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
1125 { |
|
|
1126 Matrix retval; |
|
|
1127 |
|
|
1128 int nr = x.rows (); |
|
|
1129 int nc = x.cols (); |
|
|
1130 |
|
|
1131 int a_nr = a.rows (); |
|
|
1132 int a_nc = a.cols (); |
|
|
1133 |
|
|
1134 int b_nr = b.rows (); |
|
|
1135 int b_nc = b.cols (); |
|
|
1136 |
|
|
1137 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
1138 { |
|
|
1139 retval.resize (nr, nc); |
|
|
1140 |
|
|
1141 for (int j = 0; j < nc; j++) |
|
|
1142 for (int i = 0; i < nr; i++) |
|
|
1143 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
1144 } |
|
|
1145 else |
|
|
1146 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
1147 |
|
|
1148 return retval; |
|
|
1149 } |
|
|
1150 |
|
4844
|
1151 NDArray |
|
|
1152 betainc (const NDArray& x, double a, double b) |
|
|
1153 { |
|
|
1154 dim_vector dv = x.dims (); |
|
|
1155 int nel = dv.numel (); |
|
|
1156 |
|
|
1157 NDArray retval (dv); |
|
|
1158 |
|
|
1159 for (int i = 0; i < nel; i++) |
|
|
1160 retval (i) = betainc (x(i), a, b); |
|
|
1161 |
|
|
1162 return retval; |
|
|
1163 } |
|
|
1164 |
|
|
1165 NDArray |
|
|
1166 betainc (const NDArray& x, double a, const NDArray& b) |
|
|
1167 { |
|
|
1168 NDArray retval; |
|
|
1169 dim_vector dv = x.dims (); |
|
|
1170 |
|
|
1171 if (dv == b.dims ()) |
|
|
1172 { |
|
|
1173 int nel = dv.numel (); |
|
|
1174 |
|
|
1175 retval.resize (dv); |
|
|
1176 |
|
|
1177 for (int i = 0; i < nel; i++) |
|
|
1178 retval (i) = betainc (x(i), a, b(i)); |
|
|
1179 } |
|
|
1180 else |
|
|
1181 gripe_betainc_nonconformant (dv, dim_vector (0), b.dims ()); |
|
|
1182 |
|
|
1183 return retval; |
|
|
1184 } |
|
|
1185 |
|
|
1186 NDArray |
|
|
1187 betainc (const NDArray& x, const NDArray& a, double b) |
|
|
1188 { |
|
|
1189 NDArray retval; |
|
|
1190 dim_vector dv = x.dims (); |
|
|
1191 |
|
|
1192 if (dv == a.dims ()) |
|
|
1193 { |
|
|
1194 int nel = dv.numel (); |
|
|
1195 |
|
|
1196 retval.resize (dv); |
|
|
1197 |
|
|
1198 for (int i = 0; i < nel; i++) |
|
|
1199 retval (i) = betainc (x(i), a(i), b); |
|
|
1200 } |
|
|
1201 else |
|
|
1202 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0)); |
|
|
1203 |
|
|
1204 return retval; |
|
|
1205 } |
|
|
1206 |
|
|
1207 NDArray |
|
|
1208 betainc (const NDArray& x, const NDArray& a, const NDArray& b) |
|
|
1209 { |
|
|
1210 NDArray retval; |
|
|
1211 dim_vector dv = x.dims (); |
|
|
1212 |
|
|
1213 if (dv == a.dims () && dv == b.dims ()) |
|
|
1214 { |
|
|
1215 int nel = dv.numel (); |
|
|
1216 |
|
|
1217 retval.resize (dv); |
|
|
1218 |
|
|
1219 for (int i = 0; i < nel; i++) |
|
|
1220 retval (i) = betainc (x(i), a(i), b(i)); |
|
|
1221 } |
|
|
1222 else |
|
|
1223 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
|
|
1224 |
|
|
1225 return retval; |
|
|
1226 } |
|
|
1227 |
|
3164
|
1228 // XXX FIXME XXX -- there is still room for improvement here... |
|
|
1229 |
|
3146
|
1230 double |
|
4004
|
1231 gammainc (double x, double a, bool& err) |
|
3146
|
1232 { |
|
|
1233 double retval; |
|
3164
|
1234 |
|
4004
|
1235 err = false; |
|
3164
|
1236 |
|
4004
|
1237 if (a < 0.0 || x < 0.0) |
|
|
1238 { |
|
|
1239 (*current_liboctave_error_handler) |
|
|
1240 ("gammainc: A and X must be non-negative"); |
|
|
1241 |
|
|
1242 err = true; |
|
|
1243 } |
|
|
1244 else |
|
4180
|
1245 F77_FUNC (xgammainc, XGAMMAINC) (a, x, retval); |
|
3164
|
1246 |
|
3146
|
1247 return retval; |
|
|
1248 } |
|
|
1249 |
|
|
1250 Matrix |
|
|
1251 gammainc (double x, const Matrix& a) |
|
|
1252 { |
|
|
1253 int nr = a.rows (); |
|
|
1254 int nc = a.cols (); |
|
|
1255 |
|
4004
|
1256 Matrix result (nr, nc); |
|
|
1257 Matrix retval; |
|
|
1258 |
|
|
1259 bool err; |
|
3146
|
1260 |
|
|
1261 for (int j = 0; j < nc; j++) |
|
|
1262 for (int i = 0; i < nr; i++) |
|
4004
|
1263 { |
|
|
1264 result(i,j) = gammainc (x, a(i,j), err); |
|
|
1265 |
|
|
1266 if (err) |
|
|
1267 goto done; |
|
|
1268 } |
|
|
1269 |
|
|
1270 retval = result; |
|
|
1271 |
|
|
1272 done: |
|
3146
|
1273 |
|
|
1274 return retval; |
|
|
1275 } |
|
|
1276 |
|
|
1277 Matrix |
|
|
1278 gammainc (const Matrix& x, double a) |
|
|
1279 { |
|
|
1280 int nr = x.rows (); |
|
|
1281 int nc = x.cols (); |
|
|
1282 |
|
4004
|
1283 Matrix result (nr, nc); |
|
|
1284 Matrix retval; |
|
|
1285 |
|
|
1286 bool err; |
|
3146
|
1287 |
|
|
1288 for (int j = 0; j < nc; j++) |
|
|
1289 for (int i = 0; i < nr; i++) |
|
4004
|
1290 { |
|
|
1291 result(i,j) = gammainc (x(i,j), a, err); |
|
|
1292 |
|
|
1293 if (err) |
|
|
1294 goto done; |
|
|
1295 } |
|
|
1296 |
|
|
1297 retval = result; |
|
|
1298 |
|
|
1299 done: |
|
3146
|
1300 |
|
|
1301 return retval; |
|
|
1302 } |
|
|
1303 |
|
|
1304 Matrix |
|
|
1305 gammainc (const Matrix& x, const Matrix& a) |
|
|
1306 { |
|
4004
|
1307 Matrix result; |
|
3146
|
1308 Matrix retval; |
|
|
1309 |
|
|
1310 int nr = x.rows (); |
|
|
1311 int nc = x.cols (); |
|
|
1312 |
|
|
1313 int a_nr = a.rows (); |
|
|
1314 int a_nc = a.cols (); |
|
|
1315 |
|
|
1316 if (nr == a_nr && nc == a_nc) |
|
|
1317 { |
|
4004
|
1318 result.resize (nr, nc); |
|
|
1319 |
|
|
1320 bool err; |
|
3146
|
1321 |
|
|
1322 for (int j = 0; j < nc; j++) |
|
|
1323 for (int i = 0; i < nr; i++) |
|
4004
|
1324 { |
|
|
1325 result(i,j) = gammainc (x(i,j), a(i,j), err); |
|
|
1326 |
|
|
1327 if (err) |
|
|
1328 goto done; |
|
|
1329 } |
|
|
1330 |
|
|
1331 retval = result; |
|
3146
|
1332 } |
|
|
1333 else |
|
|
1334 (*current_liboctave_error_handler) |
|
|
1335 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
1336 nr, nc, a_nr, a_nc); |
|
|
1337 |
|
4004
|
1338 done: |
|
|
1339 |
|
3146
|
1340 return retval; |
|
|
1341 } |
|
|
1342 |
|
4844
|
1343 NDArray |
|
|
1344 gammainc (double x, const NDArray& a) |
|
|
1345 { |
|
|
1346 dim_vector dv = a.dims (); |
|
|
1347 int nel = dv.numel (); |
|
|
1348 |
|
|
1349 NDArray retval; |
|
|
1350 NDArray result (dv); |
|
|
1351 |
|
|
1352 bool err; |
|
|
1353 |
|
|
1354 for (int i = 0; i < nel; i++) |
|
|
1355 { |
|
|
1356 result (i) = gammainc (x, a(i), err); |
|
|
1357 |
|
|
1358 if (err) |
|
|
1359 goto done; |
|
|
1360 } |
|
|
1361 |
|
|
1362 retval = result; |
|
|
1363 |
|
|
1364 done: |
|
|
1365 |
|
|
1366 return retval; |
|
|
1367 } |
|
|
1368 |
|
|
1369 NDArray |
|
|
1370 gammainc (const NDArray& x, double a) |
|
|
1371 { |
|
|
1372 dim_vector dv = x.dims (); |
|
|
1373 int nel = dv.numel (); |
|
|
1374 |
|
|
1375 NDArray retval; |
|
|
1376 NDArray result (dv); |
|
|
1377 |
|
|
1378 bool err; |
|
|
1379 |
|
|
1380 for (int i = 0; i < nel; i++) |
|
|
1381 { |
|
|
1382 result (i) = gammainc (x(i), a, err); |
|
|
1383 |
|
|
1384 if (err) |
|
|
1385 goto done; |
|
|
1386 } |
|
|
1387 |
|
|
1388 retval = result; |
|
|
1389 |
|
|
1390 done: |
|
|
1391 |
|
|
1392 return retval; |
|
|
1393 } |
|
|
1394 |
|
|
1395 NDArray |
|
|
1396 gammainc (const NDArray& x, const NDArray& a) |
|
|
1397 { |
|
|
1398 dim_vector dv = x.dims (); |
|
|
1399 int nel = dv.numel (); |
|
|
1400 |
|
|
1401 NDArray retval; |
|
|
1402 NDArray result; |
|
|
1403 |
|
|
1404 if (dv == a.dims ()) |
|
|
1405 { |
|
|
1406 result.resize (dv); |
|
|
1407 |
|
|
1408 bool err; |
|
|
1409 |
|
|
1410 for (int i = 0; i < nel; i++) |
|
|
1411 { |
|
|
1412 result (i) = gammainc (x(i), a(i), err); |
|
|
1413 |
|
|
1414 if (err) |
|
|
1415 goto done; |
|
|
1416 } |
|
|
1417 |
|
|
1418 retval = result; |
|
|
1419 } |
|
|
1420 else |
|
|
1421 { |
|
|
1422 std::string x_str = dv.str (); |
|
|
1423 std::string a_str = a.dims ().str (); |
|
|
1424 |
|
|
1425 (*current_liboctave_error_handler) |
|
|
1426 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
|
|
1427 x_str.c_str (), a_str. c_str ()); |
|
|
1428 } |
|
|
1429 |
|
|
1430 done: |
|
|
1431 |
|
|
1432 return retval; |
|
|
1433 } |
|
|
1434 |
|
3146
|
1435 /* |
|
|
1436 ;;; Local Variables: *** |
|
|
1437 ;;; mode: C++ *** |
|
|
1438 ;;; End: *** |
|
|
1439 */ |
