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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 extern "C" |
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39 { |
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40 int F77_FUNC (zbesj, ZBESJ) (const double&, const double&, |
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41 const double&, const int&, const int&, |
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42 double*, double*, int&, int&); |
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43 |
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44 int F77_FUNC (zbesy, ZBESY) (const double&, const double&, |
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45 const double&, const int&, const int&, |
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46 double*, double*, int&, |
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47 double*, double*, int&); |
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48 |
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49 int F77_FUNC (zbesi, ZBESI) (const double&, const double&, |
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50 const double&, const int&, const int&, |
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51 double*, double*, int&, int&); |
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52 |
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53 int F77_FUNC (zbesk, ZBESK) (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 (zbesh, ZBESH) (const double&, const double&, |
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58 const double&, const int&, const int&, |
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59 const int&, double*, double*, int&, int&); |
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60 |
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61 int F77_FUNC (zairy, ZAIRY) (const double&, const double&, |
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62 const int&, const int&, |
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63 double&, double&, int&, int&); |
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64 |
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65 int F77_FUNC (zbiry, ZBIRY) (const double&, const double&, |
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66 const int&, const int&, |
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67 double&, double&, int&); |
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68 |
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69 int F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
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70 |
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71 int F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
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72 |
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73 int F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
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74 |
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75 int F77_FUNC (xderf, XDERF) (const double&, double&); |
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76 |
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77 int F77_FUNC (xderfc, XDERFC) (const double&, double&); |
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78 |
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79 int F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
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80 const double&, double&); |
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81 |
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82 int F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
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83 |
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84 int F77_FUNC (xdgamit, XDGAMIT) (const double&, const double&, double&); |
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85 |
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86 int F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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87 } |
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88 |
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89 #if !defined (HAVE_ACOSH) |
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90 double |
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91 acosh (double x) |
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92 { |
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93 double retval; |
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94 F77_XFCN (dacosh, DACOSH, (x, retval)); |
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95 return retval; |
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96 } |
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97 #endif |
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98 |
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99 #if !defined (HAVE_ASINH) |
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100 double |
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101 asinh (double x) |
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102 { |
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103 double retval; |
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104 F77_XFCN (dasinh, DASINH, (x, retval)); |
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105 return retval; |
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106 } |
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107 #endif |
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108 |
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109 #if !defined (HAVE_ATANH) |
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110 double |
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111 atanh (double x) |
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112 { |
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113 double retval; |
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114 F77_XFCN (datanh, DATANH, (x, retval)); |
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115 return retval; |
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116 } |
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117 #endif |
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118 |
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119 #if !defined (HAVE_ERF) |
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120 double |
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121 erf (double x) |
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122 { |
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123 double retval; |
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124 F77_XFCN (derf, DERF, (x, retval)); |
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125 return retval; |
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126 } |
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127 #endif |
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128 |
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129 #if !defined (HAVE_ERFC) |
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130 double |
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131 erfc (double x) |
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132 { |
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133 double retval; |
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134 F77_XFCN (derfc, DERFC, (x, retval)); |
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135 return retval; |
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136 } |
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137 #endif |
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138 |
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139 double |
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140 xgamma (double x) |
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141 { |
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142 double result; |
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143 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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144 return result; |
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145 } |
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146 |
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147 double |
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148 xlgamma (double x) |
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149 { |
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150 double result; |
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151 double sgngam; |
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152 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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153 return result; |
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154 } |
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155 |
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156 static inline Complex |
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157 zbesj (const Complex& z, double alpha, int kode, int& ierr); |
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158 |
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159 static inline Complex |
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160 zbesy (const Complex& z, double alpha, int kode, int& ierr); |
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161 |
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162 static inline Complex |
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163 zbesi (const Complex& z, double alpha, int kode, int& ierr); |
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164 |
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165 static inline Complex |
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166 zbesk (const Complex& z, double alpha, int kode, int& ierr); |
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167 |
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168 static inline Complex |
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169 zbesh1 (const Complex& z, double alpha, int kode, int& ierr); |
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170 |
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171 static inline Complex |
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172 zbesh2 (const Complex& z, double alpha, int kode, int& ierr); |
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173 |
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174 static inline Complex |
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175 bessel_return_value (const Complex& val, int ierr) |
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176 { |
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177 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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178 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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179 |
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180 Complex retval; |
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181 |
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182 switch (ierr) |
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183 { |
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184 case 0: |
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185 case 3: |
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186 retval = val; |
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187 break; |
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188 |
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189 case 2: |
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190 retval = inf_val; |
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191 break; |
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192 |
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193 default: |
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194 retval = nan_val; |
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195 break; |
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196 } |
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197 |
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198 return retval; |
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199 } |
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200 |
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201 static inline Complex |
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202 zbesj (const Complex& z, double alpha, int kode, int& ierr) |
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203 { |
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204 Complex retval; |
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205 |
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206 if (alpha >= 0.0) |
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207 { |
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208 double yr = 0.0; |
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209 double yi = 0.0; |
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210 |
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211 int nz; |
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212 |
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213 double zr = z.real (); |
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214 double zi = z.imag (); |
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215 |
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216 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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217 |
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218 if (zi == 0.0 && zr > 0.0) |
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219 yi = 0.0; |
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220 |
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221 retval = bessel_return_value (Complex (yr, yi), ierr); |
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222 } |
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223 else |
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224 { |
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225 alpha = -alpha; |
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226 |
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227 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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228 |
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229 if (ierr == 0 || ierr == 3) |
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230 { |
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231 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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232 |
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233 retval = bessel_return_value (tmp, ierr); |
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234 } |
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235 else |
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236 retval = Complex (octave_NaN, octave_NaN); |
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237 } |
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238 |
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239 return retval; |
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240 } |
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241 |
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242 static inline Complex |
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243 zbesy (const Complex& z, double alpha, int kode, int& ierr) |
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244 { |
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245 Complex retval; |
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246 |
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247 if (alpha >= 0.0) |
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248 { |
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249 double yr = 0.0; |
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250 double yi = 0.0; |
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251 |
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252 int nz; |
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253 |
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254 double wr, wi; |
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255 |
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256 double zr = z.real (); |
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257 double zi = z.imag (); |
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258 |
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259 ierr = 0; |
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260 |
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261 if (zr == 0.0 && zi == 0.0) |
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262 { |
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263 yr = -octave_Inf; |
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264 yi = 0.0; |
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265 } |
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266 else |
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267 { |
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268 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, kode, 1, &yr, &yi, nz, |
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269 &wr, &wi, ierr); |
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270 |
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271 if (zi == 0.0 && zr > 0.0) |
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272 yi = 0.0; |
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273 } |
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274 |
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275 return bessel_return_value (Complex (yr, yi), ierr); |
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276 } |
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277 else |
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278 { |
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279 alpha = -alpha; |
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280 |
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281 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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282 |
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283 if (ierr == 0 || ierr == 3) |
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284 { |
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285 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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286 |
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287 retval = bessel_return_value (tmp, ierr); |
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288 } |
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289 else |
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290 retval = Complex (octave_NaN, octave_NaN); |
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291 } |
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292 |
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293 return retval; |
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294 } |
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295 |
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296 static inline Complex |
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297 zbesi (const Complex& z, double alpha, int kode, int& ierr) |
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298 { |
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299 Complex retval; |
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300 |
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301 if (alpha >= 0.0) |
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302 { |
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303 double yr = 0.0; |
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304 double yi = 0.0; |
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305 |
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306 int nz; |
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307 |
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308 double zr = z.real (); |
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309 double zi = z.imag (); |
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310 |
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311 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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312 |
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313 if (zi == 0.0 && zr > 0.0) |
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314 yi = 0.0; |
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315 |
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316 retval = bessel_return_value (Complex (yr, yi), ierr); |
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317 } |
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318 else |
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319 { |
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320 alpha = -alpha; |
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321 |
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322 Complex tmp = zbesi (z, alpha, kode, ierr); |
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323 |
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324 if (ierr == 0 || ierr == 3) |
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325 { |
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326 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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327 * zbesk (z, alpha, kode, ierr); |
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328 |
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329 retval = bessel_return_value (tmp, ierr); |
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330 } |
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331 else |
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332 retval = Complex (octave_NaN, octave_NaN); |
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333 } |
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334 |
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335 return retval; |
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336 } |
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337 |
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338 static inline Complex |
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339 zbesk (const Complex& z, double alpha, int kode, int& ierr) |
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340 { |
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341 Complex retval; |
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342 |
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343 if (alpha >= 0.0) |
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344 { |
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345 double yr = 0.0; |
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346 double yi = 0.0; |
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347 |
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348 int nz; |
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349 |
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350 double zr = z.real (); |
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351 double zi = z.imag (); |
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352 |
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353 ierr = 0; |
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354 |
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355 if (zr == 0.0 && zi == 0.0) |
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356 { |
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357 yr = octave_Inf; |
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358 yi = 0.0; |
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359 } |
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360 else |
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361 { |
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362 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, kode, 1, &yr, &yi, nz, ierr); |
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363 |
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364 if (zi == 0.0 && zr > 0.0) |
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365 yi = 0.0; |
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366 } |
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367 |
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368 retval = bessel_return_value (Complex (yr, yi), ierr); |
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369 } |
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370 else |
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371 { |
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372 Complex tmp = zbesk (z, -alpha, kode, ierr); |
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373 |
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374 retval = bessel_return_value (tmp, ierr); |
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375 } |
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376 |
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377 return retval; |
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378 } |
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379 |
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380 static inline Complex |
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381 zbesh1 (const Complex& z, double alpha, int kode, int& ierr) |
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382 { |
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383 Complex retval; |
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384 |
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385 if (alpha >= 0.0) |
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386 { |
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387 double yr = 0.0; |
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388 double yi = 0.0; |
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389 |
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390 int nz; |
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391 |
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392 double zr = z.real (); |
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393 double zi = z.imag (); |
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394 |
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395 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, kode, 1, 1, &yr, &yi, nz, ierr); |
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396 |
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397 retval = bessel_return_value (Complex (yr, yi), ierr); |
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398 } |
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399 else |
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400 { |
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401 alpha = -alpha; |
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402 |
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403 static const Complex eye = Complex (0.0, 1.0); |
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404 |
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405 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
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406 |
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407 retval = bessel_return_value (tmp, ierr); |
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408 } |
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409 |
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410 return retval; |
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411 } |
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412 |
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413 static inline Complex |
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414 zbesh2 (const Complex& z, double alpha, int kode, int& ierr) |
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415 { |
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416 Complex retval; |
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417 |
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418 if (alpha >= 0.0) |
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419 { |
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420 double yr = 0.0; |
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421 double yi = 0.0; |
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422 |
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423 int nz; |
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424 |
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425 double zr = z.real (); |
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426 double zi = z.imag (); |
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427 |
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428 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, kode, 2, 1, &yr, &yi, nz, ierr); |
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429 |
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430 retval = bessel_return_value (Complex (yr, yi), ierr); |
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431 } |
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432 else |
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433 { |
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434 alpha = -alpha; |
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435 |
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436 static const Complex eye = Complex (0.0, 1.0); |
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437 |
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438 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
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439 |
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440 retval = bessel_return_value (tmp, ierr); |
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441 } |
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442 |
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443 return retval; |
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444 } |
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445 |
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446 typedef Complex (*fptr) (const Complex&, double, int, int&); |
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447 |
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448 static inline Complex |
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449 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
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450 bool scaled, int& ierr) |
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451 { |
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452 Complex retval; |
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453 |
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454 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
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455 |
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456 return retval; |
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457 } |
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458 |
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459 static inline ComplexMatrix |
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460 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
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461 bool scaled, Array2<int>& ierr) |
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462 { |
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463 int nr = x.rows (); |
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464 int nc = x.cols (); |
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465 |
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466 ComplexMatrix retval (nr, nc); |
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467 |
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|
468 ierr.resize (nr, nc); |
|
|
469 |
|
|
470 for (int j = 0; j < nc; j++) |
|
|
471 for (int i = 0; i < nr; i++) |
|
|
472 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
473 |
|
|
474 return retval; |
|
|
475 } |
|
|
476 |
|
|
477 static inline ComplexMatrix |
|
|
478 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
|
479 bool scaled, Array2<int>& ierr) |
|
|
480 { |
|
|
481 int nr = alpha.rows (); |
|
|
482 int nc = alpha.cols (); |
|
|
483 |
|
|
484 ComplexMatrix retval (nr, nc); |
|
|
485 |
|
|
486 ierr.resize (nr, nc); |
|
|
487 |
|
|
488 for (int j = 0; j < nc; j++) |
|
|
489 for (int i = 0; i < nr; i++) |
|
|
490 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
491 |
|
|
492 return retval; |
|
|
493 } |
|
|
494 |
|
3220
|
495 static inline ComplexMatrix |
|
|
496 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
|
497 const ComplexMatrix& x, bool scaled, Array2<int>& ierr) |
|
3146
|
498 { |
|
3220
|
499 ComplexMatrix retval; |
|
|
500 |
|
|
501 int x_nr = x.rows (); |
|
|
502 int x_nc = x.cols (); |
|
|
503 |
|
|
504 int alpha_nr = alpha.rows (); |
|
|
505 int alpha_nc = alpha.cols (); |
|
|
506 |
|
|
507 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
508 { |
|
|
509 int nr = x_nr; |
|
|
510 int nc = x_nc; |
|
|
511 |
|
|
512 retval.resize (nr, nc); |
|
|
513 |
|
|
514 ierr.resize (nr, nc); |
|
|
515 |
|
|
516 for (int j = 0; j < nc; j++) |
|
|
517 for (int i = 0; i < nr; i++) |
|
|
518 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
519 } |
|
|
520 else |
|
|
521 (*current_liboctave_error_handler) |
|
|
522 ("%s: the sizes of alpha and x must conform", fn); |
|
|
523 |
|
|
524 return retval; |
|
3146
|
525 } |
|
|
526 |
|
3220
|
527 static inline ComplexMatrix |
|
|
528 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
|
529 const ComplexColumnVector& x, bool scaled, Array2<int>& ierr) |
|
3146
|
530 { |
|
3220
|
531 int nr = x.length (); |
|
|
532 int nc = alpha.length (); |
|
|
533 |
|
|
534 ComplexMatrix retval (nr, nc); |
|
3146
|
535 |
|
3220
|
536 ierr.resize (nr, nc); |
|
|
537 |
|
|
538 for (int j = 0; j < nc; j++) |
|
|
539 for (int i = 0; i < nr; i++) |
|
|
540 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
541 |
|
|
542 return retval; |
|
3146
|
543 } |
|
|
544 |
|
3220
|
545 #define SS_BESSEL(name, fcn) \ |
|
|
546 Complex \ |
|
|
547 name (double alpha, const Complex& x, bool scaled, int& ierr) \ |
|
|
548 { \ |
|
|
549 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
550 } |
|
|
551 |
|
|
552 #define SM_BESSEL(name, fcn) \ |
|
|
553 ComplexMatrix \ |
|
|
554 name (double alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
555 Array2<int>& ierr) \ |
|
|
556 { \ |
|
|
557 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
558 } |
|
|
559 |
|
|
560 #define MS_BESSEL(name, fcn) \ |
|
|
561 ComplexMatrix \ |
|
|
562 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
|
563 Array2<int>& ierr) \ |
|
|
564 { \ |
|
|
565 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
566 } |
|
|
567 |
|
|
568 #define MM_BESSEL(name, fcn) \ |
|
|
569 ComplexMatrix \ |
|
|
570 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
|
571 Array2<int>& ierr) \ |
|
|
572 { \ |
|
|
573 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
574 } |
|
|
575 |
|
|
576 #define RC_BESSEL(name, fcn) \ |
|
|
577 ComplexMatrix \ |
|
|
578 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
|
579 Array2<int>& ierr) \ |
|
|
580 { \ |
|
|
581 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
582 } |
|
|
583 |
|
|
584 #define ALL_BESSEL(name, fcn) \ |
|
|
585 SS_BESSEL (name, fcn) \ |
|
|
586 SM_BESSEL (name, fcn) \ |
|
|
587 MS_BESSEL (name, fcn) \ |
|
|
588 MM_BESSEL (name, fcn) \ |
|
|
589 RC_BESSEL (name, fcn) |
|
|
590 |
|
|
591 ALL_BESSEL (besselj, zbesj) |
|
|
592 ALL_BESSEL (bessely, zbesy) |
|
|
593 ALL_BESSEL (besseli, zbesi) |
|
|
594 ALL_BESSEL (besselk, zbesk) |
|
|
595 ALL_BESSEL (besselh1, zbesh1) |
|
|
596 ALL_BESSEL (besselh2, zbesh2) |
|
|
597 |
|
|
598 Complex |
|
|
599 airy (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
600 { |
|
3220
|
601 double ar = 0.0; |
|
|
602 double ai = 0.0; |
|
|
603 |
|
|
604 int nz; |
|
|
605 |
|
|
606 double zr = z.real (); |
|
|
607 double zi = z.imag (); |
|
3146
|
608 |
|
3220
|
609 int id = deriv ? 1 : 0; |
|
|
610 |
|
|
611 int kode = scaled ? 2 : 1; |
|
|
612 |
|
3887
|
613 F77_FUNC (zairy, ZAIRY) (zr, zi, id, kode, ar, ai, nz, ierr); |
|
3220
|
614 |
|
3225
|
615 if (zi == 0.0 && (! scaled || zr > 0.0)) |
|
|
616 ai = 0.0; |
|
|
617 |
|
3220
|
618 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
619 } |
|
|
620 |
|
3220
|
621 Complex |
|
|
622 biry (const Complex& z, bool deriv, bool scaled, int& ierr) |
|
3146
|
623 { |
|
3220
|
624 double ar = 0.0; |
|
|
625 double ai = 0.0; |
|
|
626 |
|
|
627 double zr = z.real (); |
|
|
628 double zi = z.imag (); |
|
|
629 |
|
|
630 int id = deriv ? 1 : 0; |
|
|
631 |
|
|
632 int kode = scaled ? 2 : 1; |
|
|
633 |
|
3887
|
634 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, kode, ar, ai, ierr); |
|
3220
|
635 |
|
3225
|
636 if (zi == 0.0 && (! scaled || zr > 0.0)) |
|
|
637 ai = 0.0; |
|
|
638 |
|
3220
|
639 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
640 } |
|
|
641 |
|
3220
|
642 ComplexMatrix |
|
|
643 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
644 { |
|
3220
|
645 int nr = z.rows (); |
|
|
646 int nc = z.cols (); |
|
|
647 |
|
|
648 ComplexMatrix retval (nr, nc); |
|
|
649 |
|
|
650 ierr.resize (nr, nc); |
|
|
651 |
|
|
652 for (int j = 0; j < nc; j++) |
|
|
653 for (int i = 0; i < nr; i++) |
|
|
654 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
655 |
|
|
656 return retval; |
|
3146
|
657 } |
|
|
658 |
|
3220
|
659 ComplexMatrix |
|
|
660 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<int>& ierr) |
|
3146
|
661 { |
|
3220
|
662 int nr = z.rows (); |
|
|
663 int nc = z.cols (); |
|
|
664 |
|
|
665 ComplexMatrix retval (nr, nc); |
|
|
666 |
|
|
667 ierr.resize (nr, nc); |
|
|
668 |
|
|
669 for (int j = 0; j < nc; j++) |
|
|
670 for (int i = 0; i < nr; i++) |
|
|
671 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
672 |
|
|
673 return retval; |
|
3146
|
674 } |
|
|
675 |
|
|
676 static void |
|
|
677 gripe_betainc_nonconformant (int r1, int c1, int r2, int c2, int r3, |
|
|
678 int c3) |
|
|
679 { |
|
|
680 (*current_liboctave_error_handler) |
|
|
681 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
682 r1, c1, r2, c2, r3, c3); |
|
|
683 } |
|
|
684 |
|
|
685 double |
|
|
686 betainc (double x, double a, double b) |
|
|
687 { |
|
|
688 double retval; |
|
|
689 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
|
|
690 return retval; |
|
|
691 } |
|
|
692 |
|
|
693 Matrix |
|
|
694 betainc (double x, double a, const Matrix& b) |
|
|
695 { |
|
|
696 int nr = b.rows (); |
|
|
697 int nc = b.cols (); |
|
|
698 |
|
|
699 Matrix retval (nr, nc); |
|
|
700 |
|
|
701 for (int j = 0; j < nc; j++) |
|
|
702 for (int i = 0; i < nr; i++) |
|
|
703 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
704 |
|
|
705 return retval; |
|
|
706 } |
|
|
707 |
|
|
708 Matrix |
|
|
709 betainc (double x, const Matrix& a, double b) |
|
|
710 { |
|
|
711 int nr = a.rows (); |
|
|
712 int nc = a.cols (); |
|
|
713 |
|
|
714 Matrix retval (nr, nc); |
|
|
715 |
|
|
716 for (int j = 0; j < nc; j++) |
|
|
717 for (int i = 0; i < nr; i++) |
|
|
718 retval(i,j) = betainc (x, a(i,j), b); |
|
|
719 |
|
|
720 return retval; |
|
|
721 } |
|
|
722 |
|
|
723 Matrix |
|
|
724 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
725 { |
|
|
726 Matrix retval; |
|
|
727 |
|
|
728 int a_nr = a.rows (); |
|
|
729 int a_nc = a.cols (); |
|
|
730 |
|
|
731 int b_nr = b.rows (); |
|
|
732 int b_nc = b.cols (); |
|
|
733 |
|
|
734 if (a_nr == b_nr && a_nc == b_nc) |
|
|
735 { |
|
|
736 retval.resize (a_nr, a_nc); |
|
|
737 |
|
|
738 for (int j = 0; j < a_nc; j++) |
|
|
739 for (int i = 0; i < a_nr; i++) |
|
|
740 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
741 } |
|
|
742 else |
|
|
743 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
744 |
|
|
745 return retval; |
|
|
746 } |
|
|
747 |
|
|
748 Matrix |
|
|
749 betainc (const Matrix& x, double a, double b) |
|
|
750 { |
|
|
751 int nr = x.rows (); |
|
|
752 int nc = x.cols (); |
|
|
753 |
|
|
754 Matrix retval (nr, nc); |
|
|
755 |
|
|
756 for (int j = 0; j < nc; j++) |
|
|
757 for (int i = 0; i < nr; i++) |
|
|
758 retval(i,j) = betainc (x(i,j), a, b); |
|
|
759 |
|
|
760 return retval; |
|
|
761 } |
|
|
762 |
|
|
763 Matrix |
|
|
764 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
765 { |
|
|
766 Matrix retval; |
|
|
767 |
|
|
768 int nr = x.rows (); |
|
|
769 int nc = x.cols (); |
|
|
770 |
|
|
771 int b_nr = b.rows (); |
|
|
772 int b_nc = b.cols (); |
|
|
773 |
|
|
774 if (nr == b_nr && nc == b_nc) |
|
|
775 { |
|
|
776 retval.resize (nr, nc); |
|
|
777 |
|
|
778 for (int j = 0; j < nc; j++) |
|
|
779 for (int i = 0; i < nr; i++) |
|
|
780 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
781 } |
|
|
782 else |
|
|
783 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
784 |
|
|
785 return retval; |
|
|
786 } |
|
|
787 |
|
|
788 Matrix |
|
|
789 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
790 { |
|
|
791 Matrix retval; |
|
|
792 |
|
|
793 int nr = x.rows (); |
|
|
794 int nc = x.cols (); |
|
|
795 |
|
|
796 int a_nr = a.rows (); |
|
|
797 int a_nc = a.cols (); |
|
|
798 |
|
|
799 if (nr == a_nr && nc == a_nc) |
|
|
800 { |
|
|
801 retval.resize (nr, nc); |
|
|
802 |
|
|
803 for (int j = 0; j < nc; j++) |
|
|
804 for (int i = 0; i < nr; i++) |
|
|
805 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
806 } |
|
|
807 else |
|
|
808 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
809 |
|
|
810 return retval; |
|
|
811 } |
|
|
812 |
|
|
813 Matrix |
|
|
814 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
815 { |
|
|
816 Matrix retval; |
|
|
817 |
|
|
818 int nr = x.rows (); |
|
|
819 int nc = x.cols (); |
|
|
820 |
|
|
821 int a_nr = a.rows (); |
|
|
822 int a_nc = a.cols (); |
|
|
823 |
|
|
824 int b_nr = b.rows (); |
|
|
825 int b_nc = b.cols (); |
|
|
826 |
|
|
827 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
828 { |
|
|
829 retval.resize (nr, nc); |
|
|
830 |
|
|
831 for (int j = 0; j < nc; j++) |
|
|
832 for (int i = 0; i < nr; i++) |
|
|
833 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
834 } |
|
|
835 else |
|
|
836 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
837 |
|
|
838 return retval; |
|
|
839 } |
|
|
840 |
|
3164
|
841 // XXX FIXME XXX -- there is still room for improvement here... |
|
|
842 |
|
3146
|
843 double |
|
|
844 gammainc (double x, double a) |
|
|
845 { |
|
|
846 double retval; |
|
3164
|
847 |
|
|
848 F77_XFCN (xdgamit, XDGAMIT, (a, x, retval)); |
|
|
849 |
|
|
850 if (x == 0.0) |
|
|
851 retval = 0.0; |
|
|
852 else if (x > 0.0) |
|
|
853 retval = exp (a * log (x) + log (retval)); |
|
|
854 |
|
3146
|
855 return retval; |
|
|
856 } |
|
|
857 |
|
|
858 Matrix |
|
|
859 gammainc (double x, const Matrix& a) |
|
|
860 { |
|
|
861 int nr = a.rows (); |
|
|
862 int nc = a.cols (); |
|
|
863 |
|
|
864 Matrix retval (nr, nc); |
|
|
865 |
|
|
866 for (int j = 0; j < nc; j++) |
|
|
867 for (int i = 0; i < nr; i++) |
|
|
868 retval(i,j) = gammainc (x, a(i,j)); |
|
|
869 |
|
|
870 return retval; |
|
|
871 } |
|
|
872 |
|
|
873 Matrix |
|
|
874 gammainc (const Matrix& x, double a) |
|
|
875 { |
|
|
876 int nr = x.rows (); |
|
|
877 int nc = x.cols (); |
|
|
878 |
|
|
879 Matrix retval (nr, nc); |
|
|
880 |
|
|
881 for (int j = 0; j < nc; j++) |
|
|
882 for (int i = 0; i < nr; i++) |
|
|
883 retval(i,j) = gammainc (x(i,j), a); |
|
|
884 |
|
|
885 return retval; |
|
|
886 } |
|
|
887 |
|
|
888 Matrix |
|
|
889 gammainc (const Matrix& x, const Matrix& a) |
|
|
890 { |
|
|
891 Matrix retval; |
|
|
892 |
|
|
893 int nr = x.rows (); |
|
|
894 int nc = x.cols (); |
|
|
895 |
|
|
896 int a_nr = a.rows (); |
|
|
897 int a_nc = a.cols (); |
|
|
898 |
|
|
899 if (nr == a_nr && nc == a_nc) |
|
|
900 { |
|
|
901 retval.resize (nr, nc); |
|
|
902 |
|
|
903 for (int j = 0; j < nc; j++) |
|
|
904 for (int i = 0; i < nr; i++) |
|
|
905 retval(i,j) = gammainc (x(i,j), a(i,j)); |
|
|
906 } |
|
|
907 else |
|
|
908 (*current_liboctave_error_handler) |
|
|
909 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
910 nr, nc, a_nr, a_nc); |
|
|
911 |
|
|
912 return retval; |
|
|
913 } |
|
|
914 |
|
|
915 /* |
|
|
916 ;;; Local Variables: *** |
|
|
917 ;;; mode: C++ *** |
|
|
918 ;;; End: *** |
|
|
919 */ |
