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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 |
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157 if (x < 0) |
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158 (*current_liboctave_error_handler) |
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159 ("xlgamma: argument must be nonnegative"); |
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160 |
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161 F77_FUNC (dlgams, DLGAMS) (x, result, sgngam); |
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162 |
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163 return result; |
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164 } |
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165 |
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166 static inline Complex |
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167 zbesj (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 zbesy (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 zbesi (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 zbesk (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 zbesh1 (const Complex& z, double alpha, int kode, int& ierr); |
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180 |
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181 static inline Complex |
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182 zbesh2 (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 bessel_return_value (const Complex& val, int ierr) |
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186 { |
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187 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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188 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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189 |
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190 Complex retval; |
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191 |
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192 switch (ierr) |
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193 { |
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194 case 0: |
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195 case 3: |
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196 retval = val; |
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197 break; |
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198 |
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199 case 2: |
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200 retval = inf_val; |
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201 break; |
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202 |
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203 default: |
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204 retval = nan_val; |
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205 break; |
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206 } |
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207 |
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208 return retval; |
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209 } |
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210 |
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211 static inline Complex |
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212 zbesj (const Complex& z, double alpha, int kode, int& ierr) |
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213 { |
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214 Complex retval; |
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215 |
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216 if (alpha >= 0.0) |
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217 { |
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218 double yr = 0.0; |
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219 double yi = 0.0; |
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220 |
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221 int nz; |
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222 |
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223 double zr = z.real (); |
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224 double zi = z.imag (); |
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225 |
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226 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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227 |
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228 if (zi == 0.0 && zr >= 0.0) |
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229 yi = 0.0; |
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230 |
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231 retval = bessel_return_value (Complex (yr, yi), ierr); |
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232 } |
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233 else |
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234 { |
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235 alpha = -alpha; |
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236 |
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237 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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238 |
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239 if (ierr == 0 || ierr == 3) |
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240 { |
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241 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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242 |
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243 retval = bessel_return_value (tmp, ierr); |
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244 } |
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245 else |
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246 retval = Complex (octave_NaN, octave_NaN); |
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247 } |
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248 |
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249 return retval; |
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250 } |
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251 |
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252 static inline Complex |
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253 zbesy (const Complex& z, double alpha, int kode, int& ierr) |
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254 { |
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255 Complex retval; |
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256 |
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257 if (alpha >= 0.0) |
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258 { |
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259 double yr = 0.0; |
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260 double yi = 0.0; |
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261 |
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262 int nz; |
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263 |
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264 double wr, wi; |
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265 |
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266 double zr = z.real (); |
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267 double zi = z.imag (); |
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268 |
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269 ierr = 0; |
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270 |
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271 if (zr == 0.0 && zi == 0.0) |
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272 { |
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273 yr = -octave_Inf; |
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274 yi = 0.0; |
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275 } |
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276 else |
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277 { |
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278 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, kode, 1, &yr, &yi, nz, |
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279 &wr, &wi, ierr); |
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280 |
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281 if (zi == 0.0 && zr >= 0.0) |
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282 yi = 0.0; |
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283 } |
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284 |
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285 return bessel_return_value (Complex (yr, yi), ierr); |
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286 } |
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287 else |
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288 { |
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289 alpha = -alpha; |
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290 |
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291 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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292 |
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293 if (ierr == 0 || ierr == 3) |
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294 { |
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295 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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296 |
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297 retval = bessel_return_value (tmp, ierr); |
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298 } |
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299 else |
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300 retval = Complex (octave_NaN, octave_NaN); |
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301 } |
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302 |
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303 return retval; |
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304 } |
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305 |
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306 static inline Complex |
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307 zbesi (const Complex& z, double alpha, int kode, int& ierr) |
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308 { |
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309 Complex retval; |
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310 |
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311 if (alpha >= 0.0) |
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312 { |
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313 double yr = 0.0; |
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314 double yi = 0.0; |
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315 |
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316 int nz; |
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317 |
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318 double zr = z.real (); |
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319 double zi = z.imag (); |
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320 |
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321 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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322 |
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323 if (zi == 0.0 && zr >= 0.0) |
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324 yi = 0.0; |
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325 |
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326 retval = bessel_return_value (Complex (yr, yi), ierr); |
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327 } |
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328 else |
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329 { |
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330 alpha = -alpha; |
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331 |
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332 Complex tmp = zbesi (z, alpha, kode, ierr); |
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333 |
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334 if (ierr == 0 || ierr == 3) |
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335 { |
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336 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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337 * zbesk (z, alpha, kode, ierr); |
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338 |
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339 retval = bessel_return_value (tmp, ierr); |
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340 } |
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341 else |
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342 retval = Complex (octave_NaN, octave_NaN); |
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343 } |
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344 |
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345 return retval; |
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346 } |
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347 |
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348 static inline Complex |
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349 zbesk (const Complex& z, double alpha, int kode, int& ierr) |
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350 { |
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351 Complex retval; |
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352 |
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353 if (alpha >= 0.0) |
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354 { |
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355 double yr = 0.0; |
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356 double yi = 0.0; |
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357 |
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358 int nz; |
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359 |
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360 double zr = z.real (); |
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361 double zi = z.imag (); |
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362 |
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363 ierr = 0; |
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364 |
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365 if (zr == 0.0 && zi == 0.0) |
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366 { |
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367 yr = octave_Inf; |
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368 yi = 0.0; |
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369 } |
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370 else |
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371 { |
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372 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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373 |
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374 if (zi == 0.0 && zr >= 0.0) |
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375 yi = 0.0; |
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376 } |
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377 |
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378 retval = bessel_return_value (Complex (yr, yi), ierr); |
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379 } |
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380 else |
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381 { |
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382 Complex tmp = zbesk (z, -alpha, kode, ierr); |
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383 |
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384 retval = bessel_return_value (tmp, ierr); |
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385 } |
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386 |
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387 return retval; |
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388 } |
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389 |
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390 static inline Complex |
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391 zbesh1 (const Complex& z, double alpha, int kode, int& ierr) |
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392 { |
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393 Complex retval; |
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394 |
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395 if (alpha >= 0.0) |
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396 { |
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397 double yr = 0.0; |
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398 double yi = 0.0; |
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399 |
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400 int nz; |
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401 |
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402 double zr = z.real (); |
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403 double zi = z.imag (); |
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404 |
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405 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, kode, 1, 1, &yr, &yi, nz, ierr); |
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406 |
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407 retval = bessel_return_value (Complex (yr, yi), ierr); |
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408 } |
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409 else |
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410 { |
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411 alpha = -alpha; |
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412 |
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413 static const Complex eye = Complex (0.0, 1.0); |
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414 |
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415 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
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416 |
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417 retval = bessel_return_value (tmp, ierr); |
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418 } |
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419 |
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420 return retval; |
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421 } |
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422 |
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423 static inline Complex |
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424 zbesh2 (const Complex& z, double alpha, int kode, int& ierr) |
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425 { |
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426 Complex retval; |
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427 |
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428 if (alpha >= 0.0) |
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429 { |
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430 double yr = 0.0; |
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431 double yi = 0.0; |
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432 |
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433 int nz; |
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434 |
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435 double zr = z.real (); |
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436 double zi = z.imag (); |
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437 |
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438 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, kode, 2, 1, &yr, &yi, nz, ierr); |
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439 |
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440 retval = bessel_return_value (Complex (yr, yi), ierr); |
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441 } |
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442 else |
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443 { |
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444 alpha = -alpha; |
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445 |
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446 static const Complex eye = Complex (0.0, 1.0); |
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447 |
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448 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
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449 |
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450 retval = bessel_return_value (tmp, ierr); |
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451 } |
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452 |
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453 return retval; |
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454 } |
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455 |
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456 typedef Complex (*fptr) (const Complex&, double, int, int&); |
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457 |
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458 static inline Complex |
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459 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
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460 bool scaled, int& ierr) |
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|
461 { |
|
|
462 Complex retval; |
|
|
463 |
|
|
464 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
|
|
465 |
|
|
466 return retval; |
|
|
467 } |
|
|
468 |
|
|
469 static inline ComplexMatrix |
|
|
470 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
|
|
471 bool scaled, Array2<int>& ierr) |
|
|
472 { |
|
|
473 int nr = x.rows (); |
|
|
474 int nc = x.cols (); |
|
|
475 |
|
|
476 ComplexMatrix retval (nr, nc); |
|
|
477 |
|
|
478 ierr.resize (nr, nc); |
|
|
479 |
|
|
480 for (int j = 0; j < nc; j++) |
|
|
481 for (int i = 0; i < nr; i++) |
|
|
482 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
483 |
|
|
484 return retval; |
|
|
485 } |
|
|
486 |
|
|
487 static inline ComplexMatrix |
|
|
488 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
|
489 bool scaled, Array2<int>& ierr) |
|
|
490 { |
|
|
491 int nr = alpha.rows (); |
|
|
492 int nc = alpha.cols (); |
|
|
493 |
|
|
494 ComplexMatrix retval (nr, nc); |
|
|
495 |
|
|
496 ierr.resize (nr, nc); |
|
|
497 |
|
|
498 for (int j = 0; j < nc; j++) |
|
|
499 for (int i = 0; i < nr; i++) |
|
|
500 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
501 |
|
|
502 return retval; |
|
|
503 } |
|
|
504 |
|
3220
|
505 static inline ComplexMatrix |
|
|
506 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
|
507 const ComplexMatrix& x, bool scaled, Array2<int>& ierr) |
|
3146
|
508 { |
|
3220
|
509 ComplexMatrix retval; |
|
|
510 |
|
|
511 int x_nr = x.rows (); |
|
|
512 int x_nc = x.cols (); |
|
|
513 |
|
|
514 int alpha_nr = alpha.rows (); |
|
|
515 int alpha_nc = alpha.cols (); |
|
|
516 |
|
|
517 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
518 { |
|
|
519 int nr = x_nr; |
|
|
520 int nc = x_nc; |
|
|
521 |
|
|
522 retval.resize (nr, nc); |
|
|
523 |
|
|
524 ierr.resize (nr, nc); |
|
|
525 |
|
|
526 for (int j = 0; j < nc; j++) |
|
|
527 for (int i = 0; i < nr; i++) |
|
|
528 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
529 } |
|
|
530 else |
|
|
531 (*current_liboctave_error_handler) |
|
|
532 ("%s: the sizes of alpha and x must conform", fn); |
|
|
533 |
|
|
534 return retval; |
|
3146
|
535 } |
|
|
536 |
|
3220
|
537 static inline ComplexMatrix |
|
|
538 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
|
539 const ComplexColumnVector& x, bool scaled, Array2<int>& ierr) |
|
3146
|
540 { |
|
3220
|
541 int nr = x.length (); |
|
|
542 int nc = alpha.length (); |
|
|
543 |
|
|
544 ComplexMatrix retval (nr, nc); |
|
3146
|
545 |
|
3220
|
546 ierr.resize (nr, nc); |
|
|
547 |
|
|
548 for (int j = 0; j < nc; j++) |
|
|
549 for (int i = 0; i < nr; i++) |
|
|
550 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
551 |
|
|
552 return retval; |
|
3146
|
553 } |
|
|
554 |
|
3220
|
555 #define SS_BESSEL(name, fcn) \ |
|
|
556 Complex \ |
|
|
557 name (double alpha, const Complex& x, bool scaled, int& ierr) \ |
|
|
558 { \ |
|
|
559 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
560 } |
|
|
561 |
|
|
562 #define SM_BESSEL(name, fcn) \ |
|
|
563 ComplexMatrix \ |
|
|
564 name (double alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
565 Array2<int>& ierr) \ |
|
|
566 { \ |
|
|
567 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
568 } |
|
|
569 |
|
|
570 #define MS_BESSEL(name, fcn) \ |
|
|
571 ComplexMatrix \ |
|
|
572 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
|
573 Array2<int>& ierr) \ |
|
|
574 { \ |
|
|
575 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
576 } |
|
|
577 |
|
|
578 #define MM_BESSEL(name, fcn) \ |
|
|
579 ComplexMatrix \ |
|
|
580 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
581 Array2<int>& ierr) \ |
|
|
582 { \ |
|
|
583 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
584 } |
|
|
585 |
|
|
586 #define RC_BESSEL(name, fcn) \ |
|
|
587 ComplexMatrix \ |
|
|
588 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
|
589 Array2<int>& ierr) \ |
|
|
590 { \ |
|
|
591 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
592 } |
|
|
593 |
|
|
594 #define ALL_BESSEL(name, fcn) \ |
|
|
595 SS_BESSEL (name, fcn) \ |
|
|
596 SM_BESSEL (name, fcn) \ |
|
|
597 MS_BESSEL (name, fcn) \ |
|
|
598 MM_BESSEL (name, fcn) \ |
|
|
599 RC_BESSEL (name, fcn) |
|
|
600 |
|
|
601 ALL_BESSEL (besselj, zbesj) |
|
|
602 ALL_BESSEL (bessely, zbesy) |
|
|
603 ALL_BESSEL (besseli, zbesi) |
|
|
604 ALL_BESSEL (besselk, zbesk) |
|
|
605 ALL_BESSEL (besselh1, zbesh1) |
|
|
606 ALL_BESSEL (besselh2, zbesh2) |
|
|
607 |
|
|
608 Complex |
|
|
609 airy (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
610 { |
|
3220
|
611 double ar = 0.0; |
|
|
612 double ai = 0.0; |
|
|
613 |
|
|
614 int nz; |
|
|
615 |
|
|
616 double zr = z.real (); |
|
|
617 double zi = z.imag (); |
|
3146
|
618 |
|
3220
|
619 int id = deriv ? 1 : 0; |
|
|
620 |
|
|
621 int kode = scaled ? 2 : 1; |
|
|
622 |
|
3887
|
623 F77_FUNC (zairy, ZAIRY) (zr, zi, id, kode, ar, ai, nz, ierr); |
|
3220
|
624 |
|
4490
|
625 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
626 ai = 0.0; |
|
|
627 |
|
3220
|
628 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
629 } |
|
|
630 |
|
3220
|
631 Complex |
|
|
632 biry (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
633 { |
|
3220
|
634 double ar = 0.0; |
|
|
635 double ai = 0.0; |
|
|
636 |
|
|
637 double zr = z.real (); |
|
|
638 double zi = z.imag (); |
|
|
639 |
|
|
640 int id = deriv ? 1 : 0; |
|
|
641 |
|
|
642 int kode = scaled ? 2 : 1; |
|
|
643 |
|
3887
|
644 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, kode, ar, ai, ierr); |
|
3220
|
645 |
|
4490
|
646 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
647 ai = 0.0; |
|
|
648 |
|
3220
|
649 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
650 } |
|
|
651 |
|
3220
|
652 ComplexMatrix |
|
|
653 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
654 { |
|
3220
|
655 int nr = z.rows (); |
|
|
656 int nc = z.cols (); |
|
|
657 |
|
|
658 ComplexMatrix retval (nr, nc); |
|
|
659 |
|
|
660 ierr.resize (nr, nc); |
|
|
661 |
|
|
662 for (int j = 0; j < nc; j++) |
|
|
663 for (int i = 0; i < nr; i++) |
|
|
664 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
665 |
|
|
666 return retval; |
|
3146
|
667 } |
|
|
668 |
|
3220
|
669 ComplexMatrix |
|
|
670 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
671 { |
|
3220
|
672 int nr = z.rows (); |
|
|
673 int nc = z.cols (); |
|
|
674 |
|
|
675 ComplexMatrix retval (nr, nc); |
|
|
676 |
|
|
677 ierr.resize (nr, nc); |
|
|
678 |
|
|
679 for (int j = 0; j < nc; j++) |
|
|
680 for (int i = 0; i < nr; i++) |
|
|
681 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
682 |
|
|
683 return retval; |
|
3146
|
684 } |
|
|
685 |
|
|
686 static void |
|
|
687 gripe_betainc_nonconformant (int r1, int c1, int r2, int c2, int r3, |
|
|
688 int c3) |
|
|
689 { |
|
|
690 (*current_liboctave_error_handler) |
|
|
691 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
692 r1, c1, r2, c2, r3, c3); |
|
|
693 } |
|
|
694 |
|
|
695 double |
|
|
696 betainc (double x, double a, double b) |
|
|
697 { |
|
|
698 double retval; |
|
4180
|
699 F77_FUNC (xdbetai, XDBETAI) (x, a, b, retval); |
|
3146
|
700 return retval; |
|
|
701 } |
|
|
702 |
|
|
703 Matrix |
|
|
704 betainc (double x, double a, const Matrix& b) |
|
|
705 { |
|
|
706 int nr = b.rows (); |
|
|
707 int nc = b.cols (); |
|
|
708 |
|
|
709 Matrix retval (nr, nc); |
|
|
710 |
|
|
711 for (int j = 0; j < nc; j++) |
|
|
712 for (int i = 0; i < nr; i++) |
|
|
713 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
714 |
|
|
715 return retval; |
|
|
716 } |
|
|
717 |
|
|
718 Matrix |
|
|
719 betainc (double x, const Matrix& a, double b) |
|
|
720 { |
|
|
721 int nr = a.rows (); |
|
|
722 int nc = a.cols (); |
|
|
723 |
|
|
724 Matrix retval (nr, nc); |
|
|
725 |
|
|
726 for (int j = 0; j < nc; j++) |
|
|
727 for (int i = 0; i < nr; i++) |
|
|
728 retval(i,j) = betainc (x, a(i,j), b); |
|
|
729 |
|
|
730 return retval; |
|
|
731 } |
|
|
732 |
|
|
733 Matrix |
|
|
734 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
735 { |
|
|
736 Matrix retval; |
|
|
737 |
|
|
738 int a_nr = a.rows (); |
|
|
739 int a_nc = a.cols (); |
|
|
740 |
|
|
741 int b_nr = b.rows (); |
|
|
742 int b_nc = b.cols (); |
|
|
743 |
|
|
744 if (a_nr == b_nr && a_nc == b_nc) |
|
|
745 { |
|
|
746 retval.resize (a_nr, a_nc); |
|
|
747 |
|
|
748 for (int j = 0; j < a_nc; j++) |
|
|
749 for (int i = 0; i < a_nr; i++) |
|
|
750 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
751 } |
|
|
752 else |
|
|
753 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
754 |
|
|
755 return retval; |
|
|
756 } |
|
|
757 |
|
|
758 Matrix |
|
|
759 betainc (const Matrix& x, double a, double b) |
|
|
760 { |
|
|
761 int nr = x.rows (); |
|
|
762 int nc = x.cols (); |
|
|
763 |
|
|
764 Matrix retval (nr, nc); |
|
|
765 |
|
|
766 for (int j = 0; j < nc; j++) |
|
|
767 for (int i = 0; i < nr; i++) |
|
|
768 retval(i,j) = betainc (x(i,j), a, b); |
|
|
769 |
|
|
770 return retval; |
|
|
771 } |
|
|
772 |
|
|
773 Matrix |
|
|
774 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
775 { |
|
|
776 Matrix retval; |
|
|
777 |
|
|
778 int nr = x.rows (); |
|
|
779 int nc = x.cols (); |
|
|
780 |
|
|
781 int b_nr = b.rows (); |
|
|
782 int b_nc = b.cols (); |
|
|
783 |
|
|
784 if (nr == b_nr && nc == b_nc) |
|
|
785 { |
|
|
786 retval.resize (nr, nc); |
|
|
787 |
|
|
788 for (int j = 0; j < nc; j++) |
|
|
789 for (int i = 0; i < nr; i++) |
|
|
790 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
791 } |
|
|
792 else |
|
|
793 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
794 |
|
|
795 return retval; |
|
|
796 } |
|
|
797 |
|
|
798 Matrix |
|
|
799 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
800 { |
|
|
801 Matrix retval; |
|
|
802 |
|
|
803 int nr = x.rows (); |
|
|
804 int nc = x.cols (); |
|
|
805 |
|
|
806 int a_nr = a.rows (); |
|
|
807 int a_nc = a.cols (); |
|
|
808 |
|
|
809 if (nr == a_nr && nc == a_nc) |
|
|
810 { |
|
|
811 retval.resize (nr, nc); |
|
|
812 |
|
|
813 for (int j = 0; j < nc; j++) |
|
|
814 for (int i = 0; i < nr; i++) |
|
|
815 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
816 } |
|
|
817 else |
|
|
818 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
819 |
|
|
820 return retval; |
|
|
821 } |
|
|
822 |
|
|
823 Matrix |
|
|
824 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
825 { |
|
|
826 Matrix retval; |
|
|
827 |
|
|
828 int nr = x.rows (); |
|
|
829 int nc = x.cols (); |
|
|
830 |
|
|
831 int a_nr = a.rows (); |
|
|
832 int a_nc = a.cols (); |
|
|
833 |
|
|
834 int b_nr = b.rows (); |
|
|
835 int b_nc = b.cols (); |
|
|
836 |
|
|
837 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
838 { |
|
|
839 retval.resize (nr, nc); |
|
|
840 |
|
|
841 for (int j = 0; j < nc; j++) |
|
|
842 for (int i = 0; i < nr; i++) |
|
|
843 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
844 } |
|
|
845 else |
|
|
846 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
847 |
|
|
848 return retval; |
|
|
849 } |
|
|
850 |
|
3164
|
851 // XXX FIXME XXX -- there is still room for improvement here... |
|
|
852 |
|
3146
|
853 double |
|
4004
|
854 gammainc (double x, double a, bool& err) |
|
3146
|
855 { |
|
|
856 double retval; |
|
3164
|
857 |
|
4004
|
858 err = false; |
|
3164
|
859 |
|
4004
|
860 if (a < 0.0 || x < 0.0) |
|
|
861 { |
|
|
862 (*current_liboctave_error_handler) |
|
|
863 ("gammainc: A and X must be non-negative"); |
|
|
864 |
|
|
865 err = true; |
|
|
866 } |
|
|
867 else |
|
4180
|
868 F77_FUNC (xgammainc, XGAMMAINC) (a, x, retval); |
|
3164
|
869 |
|
3146
|
870 return retval; |
|
|
871 } |
|
|
872 |
|
|
873 Matrix |
|
|
874 gammainc (double x, const Matrix& a) |
|
|
875 { |
|
|
876 int nr = a.rows (); |
|
|
877 int nc = a.cols (); |
|
|
878 |
|
4004
|
879 Matrix result (nr, nc); |
|
|
880 Matrix retval; |
|
|
881 |
|
|
882 bool err; |
|
3146
|
883 |
|
|
884 for (int j = 0; j < nc; j++) |
|
|
885 for (int i = 0; i < nr; i++) |
|
4004
|
886 { |
|
|
887 result(i,j) = gammainc (x, a(i,j), err); |
|
|
888 |
|
|
889 if (err) |
|
|
890 goto done; |
|
|
891 } |
|
|
892 |
|
|
893 retval = result; |
|
|
894 |
|
|
895 done: |
|
3146
|
896 |
|
|
897 return retval; |
|
|
898 } |
|
|
899 |
|
|
900 Matrix |
|
|
901 gammainc (const Matrix& x, double a) |
|
|
902 { |
|
|
903 int nr = x.rows (); |
|
|
904 int nc = x.cols (); |
|
|
905 |
|
4004
|
906 Matrix result (nr, nc); |
|
|
907 Matrix retval; |
|
|
908 |
|
|
909 bool err; |
|
3146
|
910 |
|
|
911 for (int j = 0; j < nc; j++) |
|
|
912 for (int i = 0; i < nr; i++) |
|
4004
|
913 { |
|
|
914 result(i,j) = gammainc (x(i,j), a, err); |
|
|
915 |
|
|
916 if (err) |
|
|
917 goto done; |
|
|
918 } |
|
|
919 |
|
|
920 retval = result; |
|
|
921 |
|
|
922 done: |
|
3146
|
923 |
|
|
924 return retval; |
|
|
925 } |
|
|
926 |
|
|
927 Matrix |
|
|
928 gammainc (const Matrix& x, const Matrix& a) |
|
|
929 { |
|
4004
|
930 Matrix result; |
|
3146
|
931 Matrix retval; |
|
|
932 |
|
|
933 int nr = x.rows (); |
|
|
934 int nc = x.cols (); |
|
|
935 |
|
|
936 int a_nr = a.rows (); |
|
|
937 int a_nc = a.cols (); |
|
|
938 |
|
|
939 if (nr == a_nr && nc == a_nc) |
|
|
940 { |
|
4004
|
941 result.resize (nr, nc); |
|
|
942 |
|
|
943 bool err; |
|
3146
|
944 |
|
|
945 for (int j = 0; j < nc; j++) |
|
|
946 for (int i = 0; i < nr; i++) |
|
4004
|
947 { |
|
|
948 result(i,j) = gammainc (x(i,j), a(i,j), err); |
|
|
949 |
|
|
950 if (err) |
|
|
951 goto done; |
|
|
952 } |
|
|
953 |
|
|
954 retval = result; |
|
3146
|
955 } |
|
|
956 else |
|
|
957 (*current_liboctave_error_handler) |
|
|
958 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
959 nr, nc, a_nr, a_nc); |
|
|
960 |
|
4004
|
961 done: |
|
|
962 |
|
3146
|
963 return retval; |
|
|
964 } |
|
|
965 |
|
|
966 /* |
|
|
967 ;;; Local Variables: *** |
|
|
968 ;;; mode: C++ *** |
|
|
969 ;;; End: *** |
|
|
970 */ |
