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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 "f77-fcn.h" |
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33 #include "lo-error.h" |
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34 #include "lo-ieee.h" |
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35 #include "lo-specfun.h" |
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36 #include "mx-inlines.cc" |
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37 |
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38 #ifndef M_PI |
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39 #define M_PI 3.14159265358979323846 |
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40 #endif |
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41 |
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42 extern "C" |
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43 { |
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44 int F77_FUNC (zbesj, ZBESJ) (const double&, const double&, |
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45 const double&, const int&, const int&, |
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46 double*, double*, int&, int&); |
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47 |
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48 int F77_FUNC (zbesy, ZBESY) (const double&, const double&, |
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49 const double&, const int&, const int&, |
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50 double*, double*, int&, |
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51 double*, double*, int&); |
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52 |
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53 int F77_FUNC (zbesi, ZBESI) (const double&, const double&, |
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54 const double&, const int&, const int&, |
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55 double*, double*, int&, int&); |
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56 |
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57 int F77_FUNC (zbesk, ZBESK) (const double&, const double&, |
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58 const double&, const int&, const int&, |
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59 double*, double*, int&, int&); |
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60 |
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61 int F77_FUNC (zbesh, ZBESH) (const double&, const double&, |
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62 const double&, const int&, const int&, |
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63 const int&, double*, double*, int&, int&); |
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64 |
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65 int F77_FUNC (zairy, ZAIRY) (const double&, const double&, |
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66 const int&, const int&, |
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67 double&, double&, int&, int&); |
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68 |
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69 int F77_FUNC (zbiry, ZBIRY) (const double&, const double&, |
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70 const int&, const int&, |
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71 double&, double&, int&); |
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72 |
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73 int F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
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74 |
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75 int F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
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76 |
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77 int F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
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78 |
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79 int F77_FUNC (xderf, XDERF) (const double&, double&); |
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80 |
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81 int F77_FUNC (xderfc, XDERFC) (const double&, double&); |
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82 |
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83 int F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
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84 const double&, double&); |
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85 |
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86 int F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
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87 |
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88 int F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
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89 |
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90 int F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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91 } |
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92 |
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93 #if !defined (HAVE_ACOSH) |
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94 double |
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95 acosh (double x) |
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96 { |
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97 double retval; |
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98 F77_FUNC (xdacosh, XDACOSH) (x, retval); |
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99 return retval; |
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100 } |
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101 #endif |
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102 |
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103 #if !defined (HAVE_ASINH) |
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104 double |
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105 asinh (double x) |
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106 { |
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107 double retval; |
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108 F77_FUNC (xdasinh, XDASINH) (x, retval); |
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109 return retval; |
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110 } |
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111 #endif |
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112 |
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113 #if !defined (HAVE_ATANH) |
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114 double |
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115 atanh (double x) |
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116 { |
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117 double retval; |
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118 F77_FUNC (xdatanh, XDATANH) (x, retval); |
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119 return retval; |
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120 } |
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121 #endif |
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122 |
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123 #if !defined (HAVE_ERF) |
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124 double |
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125 erf (double x) |
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126 { |
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127 double retval; |
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128 F77_FUNC (xderf, XDERF) (x, retval); |
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129 return retval; |
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130 } |
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131 #endif |
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132 |
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133 #if !defined (HAVE_ERFC) |
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134 double |
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135 erfc (double x) |
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136 { |
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137 double retval; |
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138 F77_FUNC (xderfc, XDERFC) (x, retval); |
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139 return retval; |
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140 } |
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141 #endif |
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142 |
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143 double |
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144 xgamma (double x) |
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145 { |
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146 double result; |
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147 F77_FUNC (xdgamma, XDGAMMA) (x, result); |
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148 return result; |
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149 } |
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150 |
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151 double |
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152 xlgamma (double x) |
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153 { |
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154 double result; |
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155 double sgngam; |
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156 F77_FUNC (dlgams, DLGAMS) (x, result, sgngam); |
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157 return result; |
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158 } |
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159 |
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160 static inline Complex |
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161 zbesj (const Complex& z, double alpha, int kode, int& ierr); |
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162 |
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163 static inline Complex |
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164 zbesy (const Complex& z, double alpha, int kode, int& ierr); |
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165 |
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166 static inline Complex |
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167 zbesi (const Complex& z, double alpha, int kode, int& ierr); |
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168 |
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169 static inline Complex |
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170 zbesk (const Complex& z, double alpha, int kode, int& ierr); |
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171 |
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172 static inline Complex |
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173 zbesh1 (const Complex& z, double alpha, int kode, int& ierr); |
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174 |
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175 static inline Complex |
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176 zbesh2 (const Complex& z, double alpha, int kode, int& ierr); |
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177 |
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178 static inline Complex |
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179 bessel_return_value (const Complex& val, int ierr) |
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180 { |
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181 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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182 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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183 |
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184 Complex retval; |
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185 |
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186 switch (ierr) |
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187 { |
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188 case 0: |
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189 case 3: |
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190 retval = val; |
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191 break; |
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192 |
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193 case 2: |
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194 retval = inf_val; |
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195 break; |
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196 |
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197 default: |
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198 retval = nan_val; |
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199 break; |
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200 } |
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201 |
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202 return retval; |
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203 } |
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204 |
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205 static inline Complex |
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206 zbesj (const Complex& z, double alpha, int kode, int& ierr) |
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207 { |
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208 Complex retval; |
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209 |
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210 if (alpha >= 0.0) |
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211 { |
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212 double yr = 0.0; |
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213 double yi = 0.0; |
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214 |
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215 int nz; |
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216 |
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217 double zr = z.real (); |
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218 double zi = z.imag (); |
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219 |
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220 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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221 |
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222 if (zi == 0.0 && zr >= 0.0) |
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223 yi = 0.0; |
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224 |
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225 retval = bessel_return_value (Complex (yr, yi), ierr); |
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226 } |
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227 else |
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228 { |
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229 alpha = -alpha; |
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230 |
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231 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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232 |
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233 if (ierr == 0 || ierr == 3) |
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234 { |
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235 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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236 |
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237 retval = bessel_return_value (tmp, ierr); |
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238 } |
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239 else |
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240 retval = Complex (octave_NaN, octave_NaN); |
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241 } |
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242 |
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243 return retval; |
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244 } |
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245 |
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246 static inline Complex |
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247 zbesy (const Complex& z, double alpha, int kode, int& ierr) |
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248 { |
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249 Complex retval; |
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250 |
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251 if (alpha >= 0.0) |
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252 { |
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253 double yr = 0.0; |
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254 double yi = 0.0; |
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255 |
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256 int nz; |
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257 |
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258 double wr, wi; |
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259 |
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260 double zr = z.real (); |
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261 double zi = z.imag (); |
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262 |
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263 ierr = 0; |
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264 |
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265 if (zr == 0.0 && zi == 0.0) |
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266 { |
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267 yr = -octave_Inf; |
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268 yi = 0.0; |
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269 } |
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270 else |
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271 { |
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272 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, kode, 1, &yr, &yi, nz, |
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273 &wr, &wi, ierr); |
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274 |
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275 if (zi == 0.0 && zr >= 0.0) |
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276 yi = 0.0; |
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277 } |
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278 |
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279 return bessel_return_value (Complex (yr, yi), ierr); |
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280 } |
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281 else |
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282 { |
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283 alpha = -alpha; |
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284 |
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285 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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286 |
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287 if (ierr == 0 || ierr == 3) |
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288 { |
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289 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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290 |
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291 retval = bessel_return_value (tmp, ierr); |
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292 } |
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293 else |
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294 retval = Complex (octave_NaN, octave_NaN); |
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295 } |
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296 |
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297 return retval; |
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298 } |
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299 |
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300 static inline Complex |
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301 zbesi (const Complex& z, double alpha, int kode, int& ierr) |
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302 { |
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303 Complex retval; |
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304 |
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305 if (alpha >= 0.0) |
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306 { |
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307 double yr = 0.0; |
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308 double yi = 0.0; |
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309 |
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310 int nz; |
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311 |
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312 double zr = z.real (); |
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313 double zi = z.imag (); |
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314 |
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315 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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316 |
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317 if (zi == 0.0 && zr >= 0.0) |
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318 yi = 0.0; |
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319 |
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320 retval = bessel_return_value (Complex (yr, yi), ierr); |
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321 } |
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322 else |
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323 { |
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324 alpha = -alpha; |
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325 |
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326 Complex tmp = zbesi (z, alpha, kode, ierr); |
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327 |
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328 if (ierr == 0 || ierr == 3) |
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329 { |
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330 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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331 * zbesk (z, alpha, kode, ierr); |
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332 |
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333 retval = bessel_return_value (tmp, ierr); |
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334 } |
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335 else |
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336 retval = Complex (octave_NaN, octave_NaN); |
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337 } |
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338 |
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339 return retval; |
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340 } |
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341 |
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342 static inline Complex |
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343 zbesk (const Complex& z, double alpha, int kode, int& ierr) |
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344 { |
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345 Complex retval; |
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346 |
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347 if (alpha >= 0.0) |
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348 { |
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349 double yr = 0.0; |
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350 double yi = 0.0; |
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351 |
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352 int nz; |
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353 |
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354 double zr = z.real (); |
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355 double zi = z.imag (); |
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356 |
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357 ierr = 0; |
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358 |
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359 if (zr == 0.0 && zi == 0.0) |
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360 { |
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361 yr = octave_Inf; |
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362 yi = 0.0; |
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363 } |
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364 else |
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365 { |
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366 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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367 |
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368 if (zi == 0.0 && zr >= 0.0) |
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369 yi = 0.0; |
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370 } |
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371 |
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372 retval = bessel_return_value (Complex (yr, yi), ierr); |
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373 } |
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374 else |
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375 { |
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376 Complex tmp = zbesk (z, -alpha, kode, ierr); |
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377 |
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378 retval = bessel_return_value (tmp, ierr); |
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379 } |
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380 |
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381 return retval; |
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382 } |
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383 |
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384 static inline Complex |
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385 zbesh1 (const Complex& z, double alpha, int kode, int& ierr) |
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386 { |
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387 Complex retval; |
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388 |
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389 if (alpha >= 0.0) |
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390 { |
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391 double yr = 0.0; |
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392 double yi = 0.0; |
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393 |
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394 int nz; |
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395 |
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396 double zr = z.real (); |
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397 double zi = z.imag (); |
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398 |
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399 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, kode, 1, 1, &yr, &yi, nz, ierr); |
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400 |
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401 retval = bessel_return_value (Complex (yr, yi), ierr); |
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402 } |
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403 else |
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404 { |
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405 alpha = -alpha; |
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406 |
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407 static const Complex eye = Complex (0.0, 1.0); |
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408 |
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409 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
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410 |
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411 retval = bessel_return_value (tmp, ierr); |
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412 } |
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413 |
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414 return retval; |
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415 } |
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416 |
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417 static inline Complex |
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418 zbesh2 (const Complex& z, double alpha, int kode, int& ierr) |
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419 { |
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420 Complex retval; |
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421 |
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422 if (alpha >= 0.0) |
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423 { |
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424 double yr = 0.0; |
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425 double yi = 0.0; |
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426 |
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427 int nz; |
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428 |
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429 double zr = z.real (); |
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430 double zi = z.imag (); |
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431 |
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432 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, kode, 2, 1, &yr, &yi, nz, ierr); |
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433 |
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434 retval = bessel_return_value (Complex (yr, yi), ierr); |
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435 } |
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436 else |
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437 { |
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438 alpha = -alpha; |
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439 |
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440 static const Complex eye = Complex (0.0, 1.0); |
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441 |
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442 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
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443 |
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444 retval = bessel_return_value (tmp, ierr); |
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445 } |
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446 |
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447 return retval; |
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448 } |
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449 |
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450 typedef Complex (*fptr) (const Complex&, double, int, int&); |
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451 |
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452 static inline Complex |
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453 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
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454 bool scaled, int& ierr) |
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455 { |
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456 Complex retval; |
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457 |
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458 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
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459 |
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460 return retval; |
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461 } |
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|
462 |
|
|
463 static inline ComplexMatrix |
|
|
464 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
|
|
465 bool scaled, Array2<int>& ierr) |
|
|
466 { |
|
|
467 int nr = x.rows (); |
|
|
468 int nc = x.cols (); |
|
|
469 |
|
|
470 ComplexMatrix retval (nr, nc); |
|
|
471 |
|
|
472 ierr.resize (nr, nc); |
|
|
473 |
|
|
474 for (int j = 0; j < nc; j++) |
|
|
475 for (int i = 0; i < nr; i++) |
|
|
476 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
477 |
|
|
478 return retval; |
|
|
479 } |
|
|
480 |
|
|
481 static inline ComplexMatrix |
|
|
482 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
|
483 bool scaled, Array2<int>& ierr) |
|
|
484 { |
|
|
485 int nr = alpha.rows (); |
|
|
486 int nc = alpha.cols (); |
|
|
487 |
|
|
488 ComplexMatrix retval (nr, nc); |
|
|
489 |
|
|
490 ierr.resize (nr, nc); |
|
|
491 |
|
|
492 for (int j = 0; j < nc; j++) |
|
|
493 for (int i = 0; i < nr; i++) |
|
|
494 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
495 |
|
|
496 return retval; |
|
|
497 } |
|
|
498 |
|
3220
|
499 static inline ComplexMatrix |
|
|
500 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
|
501 const ComplexMatrix& x, bool scaled, Array2<int>& ierr) |
|
3146
|
502 { |
|
3220
|
503 ComplexMatrix retval; |
|
|
504 |
|
|
505 int x_nr = x.rows (); |
|
|
506 int x_nc = x.cols (); |
|
|
507 |
|
|
508 int alpha_nr = alpha.rows (); |
|
|
509 int alpha_nc = alpha.cols (); |
|
|
510 |
|
|
511 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
512 { |
|
|
513 int nr = x_nr; |
|
|
514 int nc = x_nc; |
|
|
515 |
|
|
516 retval.resize (nr, nc); |
|
|
517 |
|
|
518 ierr.resize (nr, nc); |
|
|
519 |
|
|
520 for (int j = 0; j < nc; j++) |
|
|
521 for (int i = 0; i < nr; i++) |
|
|
522 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
523 } |
|
|
524 else |
|
|
525 (*current_liboctave_error_handler) |
|
|
526 ("%s: the sizes of alpha and x must conform", fn); |
|
|
527 |
|
|
528 return retval; |
|
3146
|
529 } |
|
|
530 |
|
3220
|
531 static inline ComplexMatrix |
|
|
532 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
|
533 const ComplexColumnVector& x, bool scaled, Array2<int>& ierr) |
|
3146
|
534 { |
|
3220
|
535 int nr = x.length (); |
|
|
536 int nc = alpha.length (); |
|
|
537 |
|
|
538 ComplexMatrix retval (nr, nc); |
|
3146
|
539 |
|
3220
|
540 ierr.resize (nr, nc); |
|
|
541 |
|
|
542 for (int j = 0; j < nc; j++) |
|
|
543 for (int i = 0; i < nr; i++) |
|
|
544 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
545 |
|
|
546 return retval; |
|
3146
|
547 } |
|
|
548 |
|
3220
|
549 #define SS_BESSEL(name, fcn) \ |
|
|
550 Complex \ |
|
|
551 name (double alpha, const Complex& x, bool scaled, int& ierr) \ |
|
|
552 { \ |
|
|
553 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
554 } |
|
|
555 |
|
|
556 #define SM_BESSEL(name, fcn) \ |
|
|
557 ComplexMatrix \ |
|
|
558 name (double alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
559 Array2<int>& ierr) \ |
|
|
560 { \ |
|
|
561 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
562 } |
|
|
563 |
|
|
564 #define MS_BESSEL(name, fcn) \ |
|
|
565 ComplexMatrix \ |
|
|
566 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
|
567 Array2<int>& ierr) \ |
|
|
568 { \ |
|
|
569 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
570 } |
|
|
571 |
|
|
572 #define MM_BESSEL(name, fcn) \ |
|
|
573 ComplexMatrix \ |
|
|
574 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
575 Array2<int>& ierr) \ |
|
|
576 { \ |
|
|
577 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
578 } |
|
|
579 |
|
|
580 #define RC_BESSEL(name, fcn) \ |
|
|
581 ComplexMatrix \ |
|
|
582 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
|
583 Array2<int>& ierr) \ |
|
|
584 { \ |
|
|
585 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
586 } |
|
|
587 |
|
|
588 #define ALL_BESSEL(name, fcn) \ |
|
|
589 SS_BESSEL (name, fcn) \ |
|
|
590 SM_BESSEL (name, fcn) \ |
|
|
591 MS_BESSEL (name, fcn) \ |
|
|
592 MM_BESSEL (name, fcn) \ |
|
|
593 RC_BESSEL (name, fcn) |
|
|
594 |
|
|
595 ALL_BESSEL (besselj, zbesj) |
|
|
596 ALL_BESSEL (bessely, zbesy) |
|
|
597 ALL_BESSEL (besseli, zbesi) |
|
|
598 ALL_BESSEL (besselk, zbesk) |
|
|
599 ALL_BESSEL (besselh1, zbesh1) |
|
|
600 ALL_BESSEL (besselh2, zbesh2) |
|
|
601 |
|
|
602 Complex |
|
|
603 airy (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
604 { |
|
3220
|
605 double ar = 0.0; |
|
|
606 double ai = 0.0; |
|
|
607 |
|
|
608 int nz; |
|
|
609 |
|
|
610 double zr = z.real (); |
|
|
611 double zi = z.imag (); |
|
3146
|
612 |
|
3220
|
613 int id = deriv ? 1 : 0; |
|
|
614 |
|
|
615 int kode = scaled ? 2 : 1; |
|
|
616 |
|
3887
|
617 F77_FUNC (zairy, ZAIRY) (zr, zi, id, kode, ar, ai, nz, ierr); |
|
3220
|
618 |
|
4490
|
619 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
620 ai = 0.0; |
|
|
621 |
|
3220
|
622 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
623 } |
|
|
624 |
|
3220
|
625 Complex |
|
|
626 biry (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
627 { |
|
3220
|
628 double ar = 0.0; |
|
|
629 double ai = 0.0; |
|
|
630 |
|
|
631 double zr = z.real (); |
|
|
632 double zi = z.imag (); |
|
|
633 |
|
|
634 int id = deriv ? 1 : 0; |
|
|
635 |
|
|
636 int kode = scaled ? 2 : 1; |
|
|
637 |
|
3887
|
638 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, kode, ar, ai, ierr); |
|
3220
|
639 |
|
4490
|
640 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
641 ai = 0.0; |
|
|
642 |
|
3220
|
643 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
644 } |
|
|
645 |
|
3220
|
646 ComplexMatrix |
|
|
647 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
648 { |
|
3220
|
649 int nr = z.rows (); |
|
|
650 int nc = z.cols (); |
|
|
651 |
|
|
652 ComplexMatrix retval (nr, nc); |
|
|
653 |
|
|
654 ierr.resize (nr, nc); |
|
|
655 |
|
|
656 for (int j = 0; j < nc; j++) |
|
|
657 for (int i = 0; i < nr; i++) |
|
|
658 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
659 |
|
|
660 return retval; |
|
3146
|
661 } |
|
|
662 |
|
3220
|
663 ComplexMatrix |
|
|
664 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
665 { |
|
3220
|
666 int nr = z.rows (); |
|
|
667 int nc = z.cols (); |
|
|
668 |
|
|
669 ComplexMatrix retval (nr, nc); |
|
|
670 |
|
|
671 ierr.resize (nr, nc); |
|
|
672 |
|
|
673 for (int j = 0; j < nc; j++) |
|
|
674 for (int i = 0; i < nr; i++) |
|
|
675 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
676 |
|
|
677 return retval; |
|
3146
|
678 } |
|
|
679 |
|
|
680 static void |
|
|
681 gripe_betainc_nonconformant (int r1, int c1, int r2, int c2, int r3, |
|
|
682 int c3) |
|
|
683 { |
|
|
684 (*current_liboctave_error_handler) |
|
|
685 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
686 r1, c1, r2, c2, r3, c3); |
|
|
687 } |
|
|
688 |
|
|
689 double |
|
|
690 betainc (double x, double a, double b) |
|
|
691 { |
|
|
692 double retval; |
|
4180
|
693 F77_FUNC (xdbetai, XDBETAI) (x, a, b, retval); |
|
3146
|
694 return retval; |
|
|
695 } |
|
|
696 |
|
|
697 Matrix |
|
|
698 betainc (double x, double a, const Matrix& b) |
|
|
699 { |
|
|
700 int nr = b.rows (); |
|
|
701 int nc = b.cols (); |
|
|
702 |
|
|
703 Matrix retval (nr, nc); |
|
|
704 |
|
|
705 for (int j = 0; j < nc; j++) |
|
|
706 for (int i = 0; i < nr; i++) |
|
|
707 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
708 |
|
|
709 return retval; |
|
|
710 } |
|
|
711 |
|
|
712 Matrix |
|
|
713 betainc (double x, const Matrix& a, double b) |
|
|
714 { |
|
|
715 int nr = a.rows (); |
|
|
716 int nc = a.cols (); |
|
|
717 |
|
|
718 Matrix retval (nr, nc); |
|
|
719 |
|
|
720 for (int j = 0; j < nc; j++) |
|
|
721 for (int i = 0; i < nr; i++) |
|
|
722 retval(i,j) = betainc (x, a(i,j), b); |
|
|
723 |
|
|
724 return retval; |
|
|
725 } |
|
|
726 |
|
|
727 Matrix |
|
|
728 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
729 { |
|
|
730 Matrix retval; |
|
|
731 |
|
|
732 int a_nr = a.rows (); |
|
|
733 int a_nc = a.cols (); |
|
|
734 |
|
|
735 int b_nr = b.rows (); |
|
|
736 int b_nc = b.cols (); |
|
|
737 |
|
|
738 if (a_nr == b_nr && a_nc == b_nc) |
|
|
739 { |
|
|
740 retval.resize (a_nr, a_nc); |
|
|
741 |
|
|
742 for (int j = 0; j < a_nc; j++) |
|
|
743 for (int i = 0; i < a_nr; i++) |
|
|
744 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
745 } |
|
|
746 else |
|
|
747 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
748 |
|
|
749 return retval; |
|
|
750 } |
|
|
751 |
|
|
752 Matrix |
|
|
753 betainc (const Matrix& x, double a, double b) |
|
|
754 { |
|
|
755 int nr = x.rows (); |
|
|
756 int nc = x.cols (); |
|
|
757 |
|
|
758 Matrix retval (nr, nc); |
|
|
759 |
|
|
760 for (int j = 0; j < nc; j++) |
|
|
761 for (int i = 0; i < nr; i++) |
|
|
762 retval(i,j) = betainc (x(i,j), a, b); |
|
|
763 |
|
|
764 return retval; |
|
|
765 } |
|
|
766 |
|
|
767 Matrix |
|
|
768 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
769 { |
|
|
770 Matrix retval; |
|
|
771 |
|
|
772 int nr = x.rows (); |
|
|
773 int nc = x.cols (); |
|
|
774 |
|
|
775 int b_nr = b.rows (); |
|
|
776 int b_nc = b.cols (); |
|
|
777 |
|
|
778 if (nr == b_nr && nc == b_nc) |
|
|
779 { |
|
|
780 retval.resize (nr, nc); |
|
|
781 |
|
|
782 for (int j = 0; j < nc; j++) |
|
|
783 for (int i = 0; i < nr; i++) |
|
|
784 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
785 } |
|
|
786 else |
|
|
787 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
788 |
|
|
789 return retval; |
|
|
790 } |
|
|
791 |
|
|
792 Matrix |
|
|
793 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
794 { |
|
|
795 Matrix retval; |
|
|
796 |
|
|
797 int nr = x.rows (); |
|
|
798 int nc = x.cols (); |
|
|
799 |
|
|
800 int a_nr = a.rows (); |
|
|
801 int a_nc = a.cols (); |
|
|
802 |
|
|
803 if (nr == a_nr && nc == a_nc) |
|
|
804 { |
|
|
805 retval.resize (nr, nc); |
|
|
806 |
|
|
807 for (int j = 0; j < nc; j++) |
|
|
808 for (int i = 0; i < nr; i++) |
|
|
809 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
810 } |
|
|
811 else |
|
|
812 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
813 |
|
|
814 return retval; |
|
|
815 } |
|
|
816 |
|
|
817 Matrix |
|
|
818 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
819 { |
|
|
820 Matrix retval; |
|
|
821 |
|
|
822 int nr = x.rows (); |
|
|
823 int nc = x.cols (); |
|
|
824 |
|
|
825 int a_nr = a.rows (); |
|
|
826 int a_nc = a.cols (); |
|
|
827 |
|
|
828 int b_nr = b.rows (); |
|
|
829 int b_nc = b.cols (); |
|
|
830 |
|
|
831 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
832 { |
|
|
833 retval.resize (nr, nc); |
|
|
834 |
|
|
835 for (int j = 0; j < nc; j++) |
|
|
836 for (int i = 0; i < nr; i++) |
|
|
837 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
838 } |
|
|
839 else |
|
|
840 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
841 |
|
|
842 return retval; |
|
|
843 } |
|
|
844 |
|
3164
|
845 // XXX FIXME XXX -- there is still room for improvement here... |
|
|
846 |
|
3146
|
847 double |
|
4004
|
848 gammainc (double x, double a, bool& err) |
|
3146
|
849 { |
|
|
850 double retval; |
|
3164
|
851 |
|
4004
|
852 err = false; |
|
3164
|
853 |
|
4004
|
854 if (a < 0.0 || x < 0.0) |
|
|
855 { |
|
|
856 (*current_liboctave_error_handler) |
|
|
857 ("gammainc: A and X must be non-negative"); |
|
|
858 |
|
|
859 err = true; |
|
|
860 } |
|
|
861 else |
|
4180
|
862 F77_FUNC (xgammainc, XGAMMAINC) (a, x, retval); |
|
3164
|
863 |
|
3146
|
864 return retval; |
|
|
865 } |
|
|
866 |
|
|
867 Matrix |
|
|
868 gammainc (double x, const Matrix& a) |
|
|
869 { |
|
|
870 int nr = a.rows (); |
|
|
871 int nc = a.cols (); |
|
|
872 |
|
4004
|
873 Matrix result (nr, nc); |
|
|
874 Matrix retval; |
|
|
875 |
|
|
876 bool err; |
|
3146
|
877 |
|
|
878 for (int j = 0; j < nc; j++) |
|
|
879 for (int i = 0; i < nr; i++) |
|
4004
|
880 { |
|
|
881 result(i,j) = gammainc (x, a(i,j), err); |
|
|
882 |
|
|
883 if (err) |
|
|
884 goto done; |
|
|
885 } |
|
|
886 |
|
|
887 retval = result; |
|
|
888 |
|
|
889 done: |
|
3146
|
890 |
|
|
891 return retval; |
|
|
892 } |
|
|
893 |
|
|
894 Matrix |
|
|
895 gammainc (const Matrix& x, double a) |
|
|
896 { |
|
|
897 int nr = x.rows (); |
|
|
898 int nc = x.cols (); |
|
|
899 |
|
4004
|
900 Matrix result (nr, nc); |
|
|
901 Matrix retval; |
|
|
902 |
|
|
903 bool err; |
|
3146
|
904 |
|
|
905 for (int j = 0; j < nc; j++) |
|
|
906 for (int i = 0; i < nr; i++) |
|
4004
|
907 { |
|
|
908 result(i,j) = gammainc (x(i,j), a, err); |
|
|
909 |
|
|
910 if (err) |
|
|
911 goto done; |
|
|
912 } |
|
|
913 |
|
|
914 retval = result; |
|
|
915 |
|
|
916 done: |
|
3146
|
917 |
|
|
918 return retval; |
|
|
919 } |
|
|
920 |
|
|
921 Matrix |
|
|
922 gammainc (const Matrix& x, const Matrix& a) |
|
|
923 { |
|
4004
|
924 Matrix result; |
|
3146
|
925 Matrix retval; |
|
|
926 |
|
|
927 int nr = x.rows (); |
|
|
928 int nc = x.cols (); |
|
|
929 |
|
|
930 int a_nr = a.rows (); |
|
|
931 int a_nc = a.cols (); |
|
|
932 |
|
|
933 if (nr == a_nr && nc == a_nc) |
|
|
934 { |
|
4004
|
935 result.resize (nr, nc); |
|
|
936 |
|
|
937 bool err; |
|
3146
|
938 |
|
|
939 for (int j = 0; j < nc; j++) |
|
|
940 for (int i = 0; i < nr; i++) |
|
4004
|
941 { |
|
|
942 result(i,j) = gammainc (x(i,j), a(i,j), err); |
|
|
943 |
|
|
944 if (err) |
|
|
945 goto done; |
|
|
946 } |
|
|
947 |
|
|
948 retval = result; |
|
3146
|
949 } |
|
|
950 else |
|
|
951 (*current_liboctave_error_handler) |
|
|
952 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
953 nr, nc, a_nr, a_nc); |
|
|
954 |
|
4004
|
955 done: |
|
|
956 |
|
3146
|
957 return retval; |
|
|
958 } |
|
|
959 |
|
|
960 /* |
|
|
961 ;;; Local Variables: *** |
|
|
962 ;;; mode: C++ *** |
|
|
963 ;;; End: *** |
|
|
964 */ |
