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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 "dColVector.h" |
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29 #include "dMatrix.h" |
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30 #include "f77-fcn.h" |
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31 #include "lo-error.h" |
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32 #include "mx-inlines.cc" |
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33 |
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34 extern "C" |
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35 { |
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36 int F77_FCN (rjbesl, RJBESL) (const double&, const double&, |
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37 const int&, double*, int&); |
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38 |
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39 int F77_FCN (rybesl, RYBESL) (const double&, const double&, |
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40 const int&, double*, int&); |
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41 |
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42 int F77_FCN (ribesl, RIBESL) (const double&, const double&, |
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43 const int&, const int&, double*, int&); |
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44 |
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45 int F77_FCN (rkbesl, RKBESL) (const double&, const double&, |
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46 const int&, const int&, double*, int&); |
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47 |
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48 int F77_FCN (xdacosh, XDACOSH) (const double&, double&); |
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49 |
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50 int F77_FCN (xdasinh, XDASINH) (const double&, double&); |
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51 |
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52 int F77_FCN (xdatanh, XDATANH) (const double&, double&); |
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53 |
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54 int F77_FCN (xderf, XDERF) (const double&, double&); |
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55 |
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56 int F77_FCN (xderfc, XDERFC) (const double&, double&); |
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57 |
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58 int F77_FCN (xdbetai, XDBETAI) (const double&, const double&, |
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59 const double&, double&); |
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60 |
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61 int F77_FCN (xdgamma, XDGAMMA) (const double&, double&); |
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62 |
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63 int F77_FCN (xdgamit, XDGAMIT) (const double&, const double&, double&); |
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64 |
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65 int F77_FCN (dlgams, DLGAMS) (const double&, double&, double&); |
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66 } |
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67 |
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68 #if !defined (HAVE_ACOSH) |
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69 double |
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70 acosh (double x) |
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71 { |
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72 double retval; |
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73 F77_XFCN (dacosh, DACOSH, (x, retval)); |
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74 return retval; |
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75 } |
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76 #endif |
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77 |
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78 #if !defined (HAVE_ASINH) |
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79 double |
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80 asinh (double x) |
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81 { |
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82 double retval; |
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83 F77_XFCN (dasinh, DASINH, (x, retval)); |
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84 return retval; |
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85 } |
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86 #endif |
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87 |
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88 #if !defined (HAVE_ATANH) |
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89 double |
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90 atanh (double x) |
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91 { |
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92 double retval; |
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93 F77_XFCN (datanh, DATANH, (x, retval)); |
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94 return retval; |
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95 } |
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96 #endif |
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97 |
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98 #if !defined (HAVE_ERF) |
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99 double |
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100 erf (double x) |
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101 { |
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102 double retval; |
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103 F77_XFCN (derf, DERF, (x, retval)); |
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104 return retval; |
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105 } |
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106 #endif |
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107 |
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108 #if !defined (HAVE_ERFC) |
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109 double |
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110 erfc (double x) |
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111 { |
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112 double retval; |
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113 F77_XFCN (derfc, DERFC, (x, retval)); |
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114 return retval; |
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115 } |
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116 #endif |
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117 |
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118 double |
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119 xgamma (double x) |
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120 { |
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121 double result; |
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122 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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123 return result; |
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124 } |
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125 |
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126 double |
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127 xlgamma (double x) |
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128 { |
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129 double result; |
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130 double sgngam; |
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131 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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132 return result; |
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133 } |
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134 |
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135 int |
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136 F77_FCN (ribesl, RIBESL) (const double& x, const double& alpha, |
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137 const int& nb, double *result, int& ncalc) |
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138 { |
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139 int retval = 0; |
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140 F77_FCN (ribesl, RIBESL) (x, alpha, nb, 1, result, ncalc); |
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141 return retval; |
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142 } |
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143 |
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144 int |
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145 F77_FCN (rkbesl, RKBESL) (const double& x, const double& alpha, |
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146 const int& nb, double *result, int& ncalc) |
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147 { |
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148 int retval = 0; |
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149 F77_FCN (rkbesl, RKBESL) (x, alpha, nb, 1, result, ncalc); |
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150 return retval; |
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151 } |
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152 |
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153 typedef int (*fptr) (const double&, const double&, const int&, double*, int&); |
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154 |
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155 static Matrix |
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156 do_bessel (fptr f, const char *fn, double alpha, const Matrix& x) |
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157 { |
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158 Matrix retval; |
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159 |
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160 if (alpha >= 0.0) |
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161 { |
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162 int nb = 1; |
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163 |
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164 if (alpha >= 1.0) |
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165 { |
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166 double integral; |
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167 alpha = modf (alpha, &integral); |
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168 nb = static_cast<int> (integral) + 1; |
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169 } |
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170 |
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171 Array<double> tmp (nb); |
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172 |
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173 double *ptmp = tmp.fortran_vec (); |
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174 |
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175 int x_nr = x.rows (); |
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176 int x_nc = x.cols (); |
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177 |
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178 retval.resize (x_nr, x_nc); |
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179 |
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180 int ncalc; |
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181 |
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182 for (int j = 0; j < x_nc; j++) |
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183 { |
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184 for (int i = 0; i < x_nr; i++) |
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185 { |
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186 f (x(i,j), alpha, nb, ptmp, ncalc); |
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187 |
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188 if (ncalc < 0) |
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189 { |
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190 (*current_liboctave_error_handler) |
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191 ("%s: error computing function values", fn); |
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192 |
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193 return Matrix (); |
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194 } |
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195 |
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196 retval(i,j) = tmp(nb-1); |
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197 } |
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198 } |
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199 } |
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200 else |
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201 (*current_liboctave_error_handler) |
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202 ("%s: alpha must be greater than zero", fn); |
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203 |
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204 return retval; |
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205 } |
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206 |
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207 static Matrix |
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208 do_bessel (fptr f, const char *fn, const Range& alpha_range, |
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209 const ColumnVector& x) |
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210 { |
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211 Matrix retval; |
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212 |
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213 double alpha_base = alpha_range.base (); |
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214 |
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215 if (alpha_base >= 0.0) |
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216 { |
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217 int nb_orig = alpha_range.nelem (); |
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218 int nb = nb_orig; |
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219 int offset = 0; |
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220 |
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221 if (alpha_base >= 1.0) |
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222 { |
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223 double integral; |
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224 alpha_base = modf (alpha_base, &integral); |
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225 offset = static_cast<int> (integral); |
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226 nb += offset; |
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227 } |
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228 |
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229 Array<double> tmp (nb); |
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230 |
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231 double *ptmp = tmp.fortran_vec (); |
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232 |
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233 int x_len = x.length (); |
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234 |
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235 retval.resize (x_len, nb_orig); |
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236 |
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237 int ncalc; |
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238 |
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239 for (int i = 0; i < x_len; i++) |
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240 { |
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241 f (x(i), alpha_base, nb, ptmp, ncalc); |
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242 |
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243 if (ncalc < 0) |
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244 { |
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245 (*current_liboctave_error_handler) |
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246 ("%s: error computing function values", fn); |
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247 |
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248 return Matrix (); |
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249 } |
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250 |
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251 for (int j = 0; j < nb_orig; j++) |
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252 retval(i,j) = tmp(offset+j); |
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253 } |
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254 } |
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255 else |
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256 (*current_liboctave_error_handler) |
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257 ("%s: alpha must be greater than zero", fn); |
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258 |
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259 return retval; |
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260 } |
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261 |
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262 Matrix |
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263 besselj (double alpha, const Matrix& x) |
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264 { |
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265 return do_bessel (F77_FCN (rjbesl, RJBESL), "besselj", alpha, x); |
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266 } |
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267 |
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268 Matrix |
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269 bessely (double alpha, const Matrix& x) |
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270 { |
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271 return do_bessel (F77_FCN (rybesl, RYBESL), "bessely", alpha, x); |
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272 } |
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273 |
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274 Matrix |
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275 besseli (double alpha, const Matrix& x) |
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276 { |
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277 return do_bessel (F77_FCN (ribesl, RIBESL), "besseli", alpha, x); |
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278 } |
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279 |
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280 Matrix |
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281 besselk (double alpha, const Matrix& x) |
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282 { |
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283 return do_bessel (F77_FCN (rkbesl, RKBESL), "besselk", alpha, x); |
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284 } |
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285 |
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286 Matrix |
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287 besselj (const Range& alpha, const ColumnVector& x) |
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288 { |
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289 return do_bessel (F77_FCN (rjbesl, RJBESL), "besselj", alpha, x); |
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290 } |
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291 |
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292 Matrix |
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293 bessely (const Range& alpha, const ColumnVector& x) |
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294 { |
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295 return do_bessel (F77_FCN (rybesl, RYBESL), "bessely", alpha, x); |
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296 } |
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297 |
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298 Matrix |
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299 besseli (const Range& alpha, const ColumnVector& x) |
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300 { |
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301 return do_bessel (F77_FCN (ribesl, RIBESL), "besseli", alpha, x); |
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302 } |
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303 |
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304 Matrix |
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305 besselk (const Range& alpha, const ColumnVector& x) |
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306 { |
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307 return do_bessel (F77_FCN (rkbesl, RKBESL), "besselk", alpha, x); |
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308 } |
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309 |
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310 static void |
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311 gripe_betainc_nonconformant (int r1, int c1, int r2, int c2, int r3, |
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312 int c3) |
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313 { |
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314 (*current_liboctave_error_handler) |
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315 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
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316 r1, c1, r2, c2, r3, c3); |
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317 } |
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318 |
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319 double |
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320 betainc (double x, double a, double b) |
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321 { |
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322 double retval; |
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323 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
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324 return retval; |
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325 } |
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326 |
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327 Matrix |
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328 betainc (double x, double a, const Matrix& b) |
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329 { |
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330 int nr = b.rows (); |
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331 int nc = b.cols (); |
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332 |
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333 Matrix retval (nr, nc); |
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334 |
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335 for (int j = 0; j < nc; j++) |
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336 for (int i = 0; i < nr; i++) |
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337 retval(i,j) = betainc (x, a, b(i,j)); |
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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 Matrix |
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343 betainc (double x, const Matrix& a, double b) |
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344 { |
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345 int nr = a.rows (); |
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346 int nc = a.cols (); |
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347 |
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348 Matrix retval (nr, nc); |
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349 |
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350 for (int j = 0; j < nc; j++) |
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351 for (int i = 0; i < nr; i++) |
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352 retval(i,j) = betainc (x, a(i,j), b); |
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353 |
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354 return retval; |
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355 } |
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356 |
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357 Matrix |
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358 betainc (double x, const Matrix& a, const Matrix& b) |
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359 { |
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360 Matrix retval; |
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361 |
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362 int a_nr = a.rows (); |
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363 int a_nc = a.cols (); |
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364 |
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365 int b_nr = b.rows (); |
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366 int b_nc = b.cols (); |
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367 |
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368 if (a_nr == b_nr && a_nc == b_nc) |
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369 { |
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370 retval.resize (a_nr, a_nc); |
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371 |
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372 for (int j = 0; j < a_nc; j++) |
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373 for (int i = 0; i < a_nr; i++) |
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374 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
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375 } |
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376 else |
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377 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
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378 |
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379 return retval; |
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380 } |
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381 |
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382 Matrix |
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383 betainc (const Matrix& x, double a, double b) |
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384 { |
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385 int nr = x.rows (); |
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386 int nc = x.cols (); |
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387 |
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388 Matrix retval (nr, nc); |
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389 |
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390 for (int j = 0; j < nc; j++) |
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391 for (int i = 0; i < nr; i++) |
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392 retval(i,j) = betainc (x(i,j), a, b); |
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393 |
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394 return retval; |
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395 } |
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396 |
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397 Matrix |
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398 betainc (const Matrix& x, double a, const Matrix& b) |
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399 { |
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400 Matrix retval; |
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401 |
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402 int nr = x.rows (); |
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403 int nc = x.cols (); |
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404 |
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405 int b_nr = b.rows (); |
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406 int b_nc = b.cols (); |
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407 |
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408 if (nr == b_nr && nc == b_nc) |
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409 { |
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410 retval.resize (nr, nc); |
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411 |
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412 for (int j = 0; j < nc; j++) |
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413 for (int i = 0; i < nr; i++) |
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414 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
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415 } |
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416 else |
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417 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
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418 |
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419 return retval; |
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420 } |
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421 |
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422 Matrix |
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423 betainc (const Matrix& x, const Matrix& a, double b) |
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424 { |
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425 Matrix retval; |
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426 |
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427 int nr = x.rows (); |
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428 int nc = x.cols (); |
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429 |
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430 int a_nr = a.rows (); |
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431 int a_nc = a.cols (); |
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432 |
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433 if (nr == a_nr && nc == a_nc) |
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434 { |
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435 retval.resize (nr, nc); |
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436 |
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437 for (int j = 0; j < nc; j++) |
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438 for (int i = 0; i < nr; i++) |
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439 retval(i,j) = betainc (x(i,j), a(i,j), b); |
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440 } |
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441 else |
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442 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
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443 |
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444 return retval; |
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445 } |
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446 |
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447 Matrix |
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448 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
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449 { |
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450 Matrix retval; |
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451 |
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452 int nr = x.rows (); |
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453 int nc = x.cols (); |
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454 |
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455 int a_nr = a.rows (); |
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456 int a_nc = a.cols (); |
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457 |
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458 int b_nr = b.rows (); |
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459 int b_nc = b.cols (); |
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460 |
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461 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
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462 { |
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463 retval.resize (nr, nc); |
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464 |
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465 for (int j = 0; j < nc; j++) |
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466 for (int i = 0; i < nr; i++) |
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467 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
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468 } |
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469 else |
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470 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
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471 |
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472 return retval; |
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473 } |
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474 |
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3164
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475 // XXX FIXME XXX -- there is still room for improvement here... |
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476 |
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3146
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477 double |
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478 gammainc (double x, double a) |
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479 { |
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480 double retval; |
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3164
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481 |
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482 F77_XFCN (xdgamit, XDGAMIT, (a, x, retval)); |
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483 |
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484 if (x == 0.0) |
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485 retval = 0.0; |
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486 else if (x > 0.0) |
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487 retval = exp (a * log (x) + log (retval)); |
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488 |
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3146
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489 return retval; |
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490 } |
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491 |
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492 Matrix |
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493 gammainc (double x, const Matrix& a) |
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494 { |
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495 int nr = a.rows (); |
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496 int nc = a.cols (); |
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497 |
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498 Matrix retval (nr, nc); |
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499 |
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500 for (int j = 0; j < nc; j++) |
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501 for (int i = 0; i < nr; i++) |
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502 retval(i,j) = gammainc (x, a(i,j)); |
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503 |
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504 return retval; |
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505 } |
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506 |
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507 Matrix |
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508 gammainc (const Matrix& x, double a) |
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509 { |
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510 int nr = x.rows (); |
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511 int nc = x.cols (); |
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512 |
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513 Matrix retval (nr, nc); |
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514 |
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515 for (int j = 0; j < nc; j++) |
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516 for (int i = 0; i < nr; i++) |
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517 retval(i,j) = gammainc (x(i,j), a); |
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518 |
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519 return retval; |
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520 } |
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521 |
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522 Matrix |
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523 gammainc (const Matrix& x, const Matrix& a) |
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524 { |
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525 Matrix retval; |
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526 |
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527 int nr = x.rows (); |
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528 int nc = x.cols (); |
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529 |
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530 int a_nr = a.rows (); |
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531 int a_nc = a.cols (); |
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532 |
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533 if (nr == a_nr && nc == a_nc) |
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534 { |
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535 retval.resize (nr, nc); |
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536 |
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537 for (int j = 0; j < nc; j++) |
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538 for (int i = 0; i < nr; i++) |
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539 retval(i,j) = gammainc (x(i,j), a(i,j)); |
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540 } |
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541 else |
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542 (*current_liboctave_error_handler) |
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543 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
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544 nr, nc, a_nr, a_nc); |
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545 |
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546 return retval; |
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547 } |
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548 |
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549 /* |
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550 ;;; Local Variables: *** |
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551 ;;; mode: C++ *** |
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552 ;;; End: *** |
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553 */ |
