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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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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20 02110-1301, USA. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include "Range.h" |
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29 #include "CColVector.h" |
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30 #include "CMatrix.h" |
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31 #include "dRowVector.h" |
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32 #include "dMatrix.h" |
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33 #include "dNDArray.h" |
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34 #include "CNDArray.h" |
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35 #include "f77-fcn.h" |
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36 #include "lo-error.h" |
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37 #include "lo-ieee.h" |
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38 #include "lo-specfun.h" |
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39 #include "mx-inlines.cc" |
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40 |
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41 #ifndef M_PI |
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42 #define M_PI 3.14159265358979323846 |
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43 #endif |
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44 |
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45 extern "C" |
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46 { |
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47 F77_RET_T |
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48 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&, |
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49 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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50 octave_idx_type&, octave_idx_type&); |
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51 |
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52 F77_RET_T |
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53 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&, |
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54 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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55 octave_idx_type&, double*, double*, octave_idx_type&); |
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56 |
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57 F77_RET_T |
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58 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&, |
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59 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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60 octave_idx_type&, octave_idx_type&); |
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61 |
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62 F77_RET_T |
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63 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&, |
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64 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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65 octave_idx_type&, octave_idx_type&); |
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66 |
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67 F77_RET_T |
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68 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&, |
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69 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
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70 double*, octave_idx_type&, octave_idx_type&); |
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71 |
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72 F77_RET_T |
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73 F77_FUNC (zairy, ZAIRY) (const double&, const double&, const octave_idx_type&, |
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74 const octave_idx_type&, double&, double&, octave_idx_type&, octave_idx_type&); |
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75 |
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76 F77_RET_T |
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77 F77_FUNC (zbiry, ZBIRY) (const double&, const double&, const octave_idx_type&, |
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78 const octave_idx_type&, double&, double&, octave_idx_type&); |
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79 |
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80 F77_RET_T |
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81 F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
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82 |
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83 F77_RET_T |
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84 F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
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85 |
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86 F77_RET_T |
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87 F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
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88 |
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89 F77_RET_T |
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90 F77_FUNC (xderf, XDERF) (const double&, double&); |
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91 |
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92 F77_RET_T |
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93 F77_FUNC (xderfc, XDERFC) (const double&, double&); |
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94 |
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95 F77_RET_T |
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96 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
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97 const double&, double&); |
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98 |
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99 F77_RET_T |
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100 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
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101 |
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102 F77_RET_T |
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103 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
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104 |
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105 F77_RET_T |
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106 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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107 } |
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108 |
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109 #if !defined (HAVE_ACOSH) |
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110 double |
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111 acosh (double x) |
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112 { |
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113 double retval; |
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114 F77_XFCN (xdacosh, XDACOSH, (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_ASINH) |
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120 double |
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121 asinh (double x) |
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122 { |
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123 double retval; |
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124 F77_XFCN (xdasinh, XDASINH, (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_ATANH) |
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130 double |
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131 atanh (double x) |
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132 { |
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133 double retval; |
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134 F77_XFCN (xdatanh, XDATANH, (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 #if !defined (HAVE_ERF) |
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140 double |
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141 erf (double x) |
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142 { |
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143 double retval; |
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144 F77_XFCN (xderf, XDERF, (x, retval)); |
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145 return retval; |
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146 } |
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147 #endif |
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148 |
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149 #if !defined (HAVE_ERFC) |
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150 double |
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151 erfc (double x) |
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152 { |
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153 double retval; |
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154 F77_XFCN (xderfc, XDERFC, (x, retval)); |
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155 return retval; |
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156 } |
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157 #endif |
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158 |
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159 double |
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160 xgamma (double x) |
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161 { |
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162 double result; |
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163 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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164 return result; |
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165 } |
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166 |
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167 double |
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168 xlgamma (double x) |
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169 { |
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170 double result; |
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171 double sgngam; |
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172 |
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173 if (x < 0) |
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174 (*current_liboctave_error_handler) |
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175 ("xlgamma: argument must be nonnegative"); |
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176 |
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177 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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178 |
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179 return result; |
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180 } |
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181 |
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182 static inline Complex |
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183 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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184 |
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185 static inline Complex |
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186 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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187 |
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188 static inline Complex |
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189 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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190 |
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191 static inline Complex |
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192 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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193 |
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194 static inline Complex |
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195 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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196 |
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197 static inline Complex |
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198 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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199 |
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200 static inline Complex |
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201 bessel_return_value (const Complex& val, octave_idx_type ierr) |
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202 { |
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203 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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204 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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205 |
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206 Complex retval; |
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207 |
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208 switch (ierr) |
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209 { |
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210 case 0: |
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211 case 3: |
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212 retval = val; |
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213 break; |
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214 |
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215 case 2: |
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216 retval = inf_val; |
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217 break; |
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218 |
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219 default: |
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220 retval = nan_val; |
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221 break; |
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222 } |
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223 |
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224 return retval; |
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225 } |
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226 |
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227 static inline bool |
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228 is_integer_value (double x) |
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229 { |
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230 return x == static_cast<double> (static_cast<long> (x)); |
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231 } |
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232 |
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233 static inline Complex |
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234 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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235 { |
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236 Complex retval; |
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237 |
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238 if (alpha >= 0.0) |
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239 { |
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240 double yr = 0.0; |
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241 double yi = 0.0; |
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242 |
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243 octave_idx_type nz; |
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244 |
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245 double zr = z.real (); |
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246 double zi = z.imag (); |
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247 |
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248 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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249 |
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250 if (kode != 2) |
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251 { |
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252 double expz = exp (std::abs (zi)); |
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253 yr *= expz; |
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254 yi *= expz; |
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255 } |
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256 |
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257 if (zi == 0.0 && zr >= 0.0) |
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258 yi = 0.0; |
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259 |
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260 retval = bessel_return_value (Complex (yr, yi), ierr); |
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261 } |
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262 else if (is_integer_value (alpha)) |
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263 { |
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264 // zbesy can overflow as z->0, and cause troubles for generic case below |
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265 alpha = -alpha; |
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266 Complex tmp = zbesj (z, alpha, kode, ierr); |
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267 if ((static_cast <long> (alpha)) & 1) |
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268 tmp = - tmp; |
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269 retval = bessel_return_value (tmp, ierr); |
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270 } |
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271 else |
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272 { |
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273 alpha = -alpha; |
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274 |
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275 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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276 |
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277 if (ierr == 0 || ierr == 3) |
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278 { |
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279 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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280 |
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281 retval = bessel_return_value (tmp, ierr); |
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282 } |
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283 else |
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284 retval = Complex (octave_NaN, octave_NaN); |
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285 } |
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286 |
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287 return retval; |
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288 } |
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289 |
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290 static inline Complex |
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291 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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292 { |
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293 Complex retval; |
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294 |
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295 if (alpha >= 0.0) |
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296 { |
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297 double yr = 0.0; |
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298 double yi = 0.0; |
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299 |
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300 octave_idx_type nz; |
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301 |
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302 double wr, wi; |
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303 |
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304 double zr = z.real (); |
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305 double zi = z.imag (); |
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306 |
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307 ierr = 0; |
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308 |
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309 if (zr == 0.0 && zi == 0.0) |
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310 { |
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311 yr = -octave_Inf; |
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312 yi = 0.0; |
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313 } |
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314 else |
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315 { |
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316 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
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317 &wr, &wi, ierr); |
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318 |
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319 if (kode != 2) |
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320 { |
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321 double expz = exp (std::abs (zi)); |
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322 yr *= expz; |
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323 yi *= expz; |
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324 } |
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325 |
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326 if (zi == 0.0 && zr >= 0.0) |
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327 yi = 0.0; |
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328 } |
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329 |
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330 return bessel_return_value (Complex (yr, yi), ierr); |
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331 } |
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332 else if (is_integer_value (alpha - 0.5)) |
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333 { |
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334 // zbesy can overflow as z->0, and cause troubles for generic case below |
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335 alpha = -alpha; |
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336 Complex tmp = zbesj (z, alpha, kode, ierr); |
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337 if ((static_cast <long> (alpha - 0.5)) & 1) |
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338 tmp = - tmp; |
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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 { |
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343 alpha = -alpha; |
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344 |
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345 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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346 |
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347 if (ierr == 0 || ierr == 3) |
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348 { |
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349 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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350 |
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351 retval = bessel_return_value (tmp, ierr); |
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352 } |
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353 else |
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354 retval = Complex (octave_NaN, octave_NaN); |
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355 } |
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356 |
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357 return retval; |
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358 } |
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359 |
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360 static inline Complex |
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361 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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362 { |
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363 Complex retval; |
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364 |
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365 if (alpha >= 0.0) |
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366 { |
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367 double yr = 0.0; |
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368 double yi = 0.0; |
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369 |
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370 octave_idx_type nz; |
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371 |
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372 double zr = z.real (); |
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373 double zi = z.imag (); |
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374 |
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375 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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376 |
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377 if (kode != 2) |
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378 { |
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379 double expz = exp (std::abs (zr)); |
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380 yr *= expz; |
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381 yi *= expz; |
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382 } |
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383 |
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384 if (zi == 0.0 && zr >= 0.0) |
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385 yi = 0.0; |
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386 |
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387 retval = bessel_return_value (Complex (yr, yi), ierr); |
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388 } |
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389 else |
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390 { |
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391 alpha = -alpha; |
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392 |
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393 Complex tmp = zbesi (z, alpha, kode, ierr); |
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394 |
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395 if (ierr == 0 || ierr == 3) |
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396 { |
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397 if (! is_integer_value (alpha - 0.5)) |
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398 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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399 * zbesk (z, alpha, kode, ierr); |
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400 |
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401 retval = bessel_return_value (tmp, ierr); |
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402 } |
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403 else |
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404 retval = Complex (octave_NaN, octave_NaN); |
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405 } |
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406 |
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407 return retval; |
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408 } |
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409 |
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410 static inline Complex |
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411 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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412 { |
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413 Complex retval; |
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414 |
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415 if (alpha >= 0.0) |
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416 { |
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417 double yr = 0.0; |
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418 double yi = 0.0; |
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419 |
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420 octave_idx_type nz; |
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421 |
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422 double zr = z.real (); |
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423 double zi = z.imag (); |
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424 |
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425 ierr = 0; |
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426 |
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427 if (zr == 0.0 && zi == 0.0) |
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428 { |
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429 yr = octave_Inf; |
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430 yi = 0.0; |
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431 } |
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432 else |
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433 { |
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434 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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435 |
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436 if (kode != 2) |
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437 { |
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438 Complex expz = exp (-z); |
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439 |
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440 double rexpz = real (expz); |
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441 double iexpz = imag (expz); |
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442 |
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443 double tmp = yr*rexpz - yi*iexpz; |
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444 |
|
|
445 yi = yr*iexpz + yi*rexpz; |
|
|
446 yr = tmp; |
|
|
447 } |
|
3220
|
448 |
|
4490
|
449 if (zi == 0.0 && zr >= 0.0) |
|
3220
|
450 yi = 0.0; |
|
|
451 } |
|
|
452 |
|
|
453 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
454 } |
|
|
455 else |
|
|
456 { |
|
|
457 Complex tmp = zbesk (z, -alpha, kode, ierr); |
|
|
458 |
|
|
459 retval = bessel_return_value (tmp, ierr); |
|
|
460 } |
|
3146
|
461 |
|
|
462 return retval; |
|
|
463 } |
|
|
464 |
|
3220
|
465 static inline Complex |
|
5275
|
466 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3146
|
467 { |
|
3220
|
468 Complex retval; |
|
3146
|
469 |
|
3220
|
470 if (alpha >= 0.0) |
|
3146
|
471 { |
|
3220
|
472 double yr = 0.0; |
|
|
473 double yi = 0.0; |
|
|
474 |
|
5275
|
475 octave_idx_type nz; |
|
3220
|
476 |
|
|
477 double zr = z.real (); |
|
|
478 double zi = z.imag (); |
|
3146
|
479 |
|
4506
|
480 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
|
|
481 |
|
|
482 if (kode != 2) |
|
|
483 { |
|
|
484 Complex expz = exp (Complex (0.0, 1.0) * z); |
|
|
485 |
|
|
486 double rexpz = real (expz); |
|
|
487 double iexpz = imag (expz); |
|
|
488 |
|
|
489 double tmp = yr*rexpz - yi*iexpz; |
|
|
490 |
|
|
491 yi = yr*iexpz + yi*rexpz; |
|
|
492 yr = tmp; |
|
|
493 } |
|
3146
|
494 |
|
3220
|
495 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
496 } |
|
|
497 else |
|
|
498 { |
|
|
499 alpha = -alpha; |
|
|
500 |
|
|
501 static const Complex eye = Complex (0.0, 1.0); |
|
3146
|
502 |
|
3220
|
503 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
|
3146
|
504 |
|
3220
|
505 retval = bessel_return_value (tmp, ierr); |
|
|
506 } |
|
3146
|
507 |
|
3220
|
508 return retval; |
|
|
509 } |
|
3146
|
510 |
|
3220
|
511 static inline Complex |
|
5275
|
512 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3220
|
513 { |
|
|
514 Complex retval; |
|
3146
|
515 |
|
3220
|
516 if (alpha >= 0.0) |
|
|
517 { |
|
|
518 double yr = 0.0; |
|
|
519 double yi = 0.0; |
|
|
520 |
|
5275
|
521 octave_idx_type nz; |
|
3146
|
522 |
|
3220
|
523 double zr = z.real (); |
|
|
524 double zi = z.imag (); |
|
3146
|
525 |
|
4506
|
526 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
|
|
527 |
|
|
528 if (kode != 2) |
|
|
529 { |
|
|
530 Complex expz = exp (-Complex (0.0, 1.0) * z); |
|
|
531 |
|
|
532 double rexpz = real (expz); |
|
|
533 double iexpz = imag (expz); |
|
|
534 |
|
|
535 double tmp = yr*rexpz - yi*iexpz; |
|
|
536 |
|
|
537 yi = yr*iexpz + yi*rexpz; |
|
|
538 yr = tmp; |
|
|
539 } |
|
3220
|
540 |
|
|
541 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
3146
|
542 } |
|
|
543 else |
|
3220
|
544 { |
|
|
545 alpha = -alpha; |
|
|
546 |
|
|
547 static const Complex eye = Complex (0.0, 1.0); |
|
|
548 |
|
|
549 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
|
|
550 |
|
|
551 retval = bessel_return_value (tmp, ierr); |
|
|
552 } |
|
|
553 |
|
|
554 return retval; |
|
|
555 } |
|
|
556 |
|
5275
|
557 typedef Complex (*fptr) (const Complex&, double, int, octave_idx_type&); |
|
3220
|
558 |
|
|
559 static inline Complex |
|
|
560 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
|
5275
|
561 bool scaled, octave_idx_type& ierr) |
|
3220
|
562 { |
|
|
563 Complex retval; |
|
|
564 |
|
|
565 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
|
|
566 |
|
|
567 return retval; |
|
|
568 } |
|
|
569 |
|
|
570 static inline ComplexMatrix |
|
|
571 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
|
5275
|
572 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
573 { |
|
5275
|
574 octave_idx_type nr = x.rows (); |
|
|
575 octave_idx_type nc = x.cols (); |
|
3220
|
576 |
|
|
577 ComplexMatrix retval (nr, nc); |
|
|
578 |
|
|
579 ierr.resize (nr, nc); |
|
|
580 |
|
5275
|
581 for (octave_idx_type j = 0; j < nc; j++) |
|
|
582 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
583 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
584 |
|
|
585 return retval; |
|
|
586 } |
|
|
587 |
|
|
588 static inline ComplexMatrix |
|
|
589 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
5275
|
590 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
591 { |
|
5275
|
592 octave_idx_type nr = alpha.rows (); |
|
|
593 octave_idx_type nc = alpha.cols (); |
|
3220
|
594 |
|
|
595 ComplexMatrix retval (nr, nc); |
|
|
596 |
|
|
597 ierr.resize (nr, nc); |
|
|
598 |
|
5275
|
599 for (octave_idx_type j = 0; j < nc; j++) |
|
|
600 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
601 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
602 |
|
|
603 return retval; |
|
|
604 } |
|
|
605 |
|
3220
|
606 static inline ComplexMatrix |
|
|
607 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
5275
|
608 const ComplexMatrix& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
609 { |
|
3220
|
610 ComplexMatrix retval; |
|
|
611 |
|
5275
|
612 octave_idx_type x_nr = x.rows (); |
|
|
613 octave_idx_type x_nc = x.cols (); |
|
3220
|
614 |
|
5275
|
615 octave_idx_type alpha_nr = alpha.rows (); |
|
|
616 octave_idx_type alpha_nc = alpha.cols (); |
|
3220
|
617 |
|
|
618 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
619 { |
|
5275
|
620 octave_idx_type nr = x_nr; |
|
|
621 octave_idx_type nc = x_nc; |
|
3220
|
622 |
|
|
623 retval.resize (nr, nc); |
|
|
624 |
|
|
625 ierr.resize (nr, nc); |
|
|
626 |
|
5275
|
627 for (octave_idx_type j = 0; j < nc; j++) |
|
|
628 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
629 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
630 } |
|
|
631 else |
|
|
632 (*current_liboctave_error_handler) |
|
|
633 ("%s: the sizes of alpha and x must conform", fn); |
|
|
634 |
|
|
635 return retval; |
|
3146
|
636 } |
|
|
637 |
|
4844
|
638 static inline ComplexNDArray |
|
|
639 do_bessel (fptr f, const char *, double alpha, const ComplexNDArray& x, |
|
5275
|
640 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
641 { |
|
|
642 dim_vector dv = x.dims (); |
|
5275
|
643 octave_idx_type nel = dv.numel (); |
|
4844
|
644 ComplexNDArray retval (dv); |
|
|
645 |
|
|
646 ierr.resize (dv); |
|
|
647 |
|
5275
|
648 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
649 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
|
|
650 |
|
|
651 return retval; |
|
|
652 } |
|
|
653 |
|
|
654 static inline ComplexNDArray |
|
|
655 do_bessel (fptr f, const char *, const NDArray& alpha, const Complex& x, |
|
5275
|
656 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
657 { |
|
|
658 dim_vector dv = alpha.dims (); |
|
5275
|
659 octave_idx_type nel = dv.numel (); |
|
4844
|
660 ComplexNDArray retval (dv); |
|
|
661 |
|
|
662 ierr.resize (dv); |
|
|
663 |
|
5275
|
664 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
665 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
666 |
|
|
667 return retval; |
|
|
668 } |
|
|
669 |
|
|
670 static inline ComplexNDArray |
|
|
671 do_bessel (fptr f, const char *fn, const NDArray& alpha, |
|
5275
|
672 const ComplexNDArray& x, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
673 { |
|
|
674 dim_vector dv = x.dims (); |
|
|
675 ComplexNDArray retval; |
|
|
676 |
|
|
677 if (dv == alpha.dims ()) |
|
|
678 { |
|
5275
|
679 octave_idx_type nel = dv.numel (); |
|
4844
|
680 |
|
|
681 retval.resize (dv); |
|
|
682 ierr.resize (dv); |
|
|
683 |
|
5275
|
684 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
685 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
686 } |
|
|
687 else |
|
|
688 (*current_liboctave_error_handler) |
|
|
689 ("%s: the sizes of alpha and x must conform", fn); |
|
|
690 |
|
|
691 return retval; |
|
|
692 } |
|
|
693 |
|
3220
|
694 static inline ComplexMatrix |
|
|
695 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
5275
|
696 const ComplexColumnVector& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
697 { |
|
5275
|
698 octave_idx_type nr = x.length (); |
|
|
699 octave_idx_type nc = alpha.length (); |
|
3220
|
700 |
|
|
701 ComplexMatrix retval (nr, nc); |
|
3146
|
702 |
|
3220
|
703 ierr.resize (nr, nc); |
|
|
704 |
|
5275
|
705 for (octave_idx_type j = 0; j < nc; j++) |
|
|
706 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
707 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
708 |
|
|
709 return retval; |
|
3146
|
710 } |
|
|
711 |
|
3220
|
712 #define SS_BESSEL(name, fcn) \ |
|
|
713 Complex \ |
|
5275
|
714 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \ |
|
3220
|
715 { \ |
|
|
716 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
717 } |
|
|
718 |
|
|
719 #define SM_BESSEL(name, fcn) \ |
|
|
720 ComplexMatrix \ |
|
|
721 name (double alpha, const ComplexMatrix& x, bool scaled, \ |
|
5275
|
722 Array2<octave_idx_type>& ierr) \ |
|
3220
|
723 { \ |
|
|
724 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
725 } |
|
|
726 |
|
|
727 #define MS_BESSEL(name, fcn) \ |
|
|
728 ComplexMatrix \ |
|
|
729 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
5275
|
730 Array2<octave_idx_type>& ierr) \ |
|
3220
|
731 { \ |
|
|
732 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
733 } |
|
|
734 |
|
|
735 #define MM_BESSEL(name, fcn) \ |
|
|
736 ComplexMatrix \ |
|
|
737 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
5275
|
738 Array2<octave_idx_type>& ierr) \ |
|
3220
|
739 { \ |
|
|
740 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
741 } |
|
|
742 |
|
4844
|
743 #define SN_BESSEL(name, fcn) \ |
|
|
744 ComplexNDArray \ |
|
|
745 name (double alpha, const ComplexNDArray& x, bool scaled, \ |
|
5275
|
746 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
747 { \ |
|
|
748 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
749 } |
|
|
750 |
|
|
751 #define NS_BESSEL(name, fcn) \ |
|
|
752 ComplexNDArray \ |
|
|
753 name (const NDArray& alpha, const Complex& x, bool scaled, \ |
|
5275
|
754 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
755 { \ |
|
|
756 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
757 } |
|
|
758 |
|
|
759 #define NN_BESSEL(name, fcn) \ |
|
|
760 ComplexNDArray \ |
|
|
761 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \ |
|
5275
|
762 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
763 { \ |
|
|
764 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
765 } |
|
|
766 |
|
3220
|
767 #define RC_BESSEL(name, fcn) \ |
|
|
768 ComplexMatrix \ |
|
|
769 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
5275
|
770 Array2<octave_idx_type>& ierr) \ |
|
3220
|
771 { \ |
|
|
772 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
773 } |
|
|
774 |
|
|
775 #define ALL_BESSEL(name, fcn) \ |
|
|
776 SS_BESSEL (name, fcn) \ |
|
|
777 SM_BESSEL (name, fcn) \ |
|
|
778 MS_BESSEL (name, fcn) \ |
|
|
779 MM_BESSEL (name, fcn) \ |
|
4844
|
780 SN_BESSEL (name, fcn) \ |
|
|
781 NS_BESSEL (name, fcn) \ |
|
|
782 NN_BESSEL (name, fcn) \ |
|
3220
|
783 RC_BESSEL (name, fcn) |
|
|
784 |
|
|
785 ALL_BESSEL (besselj, zbesj) |
|
|
786 ALL_BESSEL (bessely, zbesy) |
|
|
787 ALL_BESSEL (besseli, zbesi) |
|
|
788 ALL_BESSEL (besselk, zbesk) |
|
|
789 ALL_BESSEL (besselh1, zbesh1) |
|
|
790 ALL_BESSEL (besselh2, zbesh2) |
|
|
791 |
|
|
792 Complex |
|
5275
|
793 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
794 { |
|
3220
|
795 double ar = 0.0; |
|
|
796 double ai = 0.0; |
|
|
797 |
|
5275
|
798 octave_idx_type nz; |
|
3220
|
799 |
|
|
800 double zr = z.real (); |
|
|
801 double zi = z.imag (); |
|
3146
|
802 |
|
5275
|
803 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
804 |
|
4506
|
805 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
|
|
806 |
|
|
807 if (! scaled) |
|
|
808 { |
|
|
809 Complex expz = exp (- 2.0 / 3.0 * z * sqrt(z)); |
|
3220
|
810 |
|
4506
|
811 double rexpz = real (expz); |
|
|
812 double iexpz = imag (expz); |
|
|
813 |
|
|
814 double tmp = ar*rexpz - ai*iexpz; |
|
|
815 |
|
|
816 ai = ar*iexpz + ai*rexpz; |
|
|
817 ar = tmp; |
|
|
818 } |
|
3220
|
819 |
|
4490
|
820 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
821 ai = 0.0; |
|
|
822 |
|
3220
|
823 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
824 } |
|
|
825 |
|
3220
|
826 Complex |
|
5275
|
827 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
828 { |
|
3220
|
829 double ar = 0.0; |
|
|
830 double ai = 0.0; |
|
|
831 |
|
|
832 double zr = z.real (); |
|
|
833 double zi = z.imag (); |
|
|
834 |
|
5275
|
835 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
836 |
|
4506
|
837 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
|
|
838 |
|
|
839 if (! scaled) |
|
|
840 { |
|
|
841 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); |
|
3220
|
842 |
|
4506
|
843 double rexpz = real (expz); |
|
|
844 double iexpz = imag (expz); |
|
|
845 |
|
|
846 double tmp = ar*rexpz - ai*iexpz; |
|
|
847 |
|
|
848 ai = ar*iexpz + ai*rexpz; |
|
|
849 ar = tmp; |
|
|
850 } |
|
3220
|
851 |
|
4490
|
852 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
853 ai = 0.0; |
|
|
854 |
|
3220
|
855 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
856 } |
|
|
857 |
|
3220
|
858 ComplexMatrix |
|
5275
|
859 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
860 { |
|
5275
|
861 octave_idx_type nr = z.rows (); |
|
|
862 octave_idx_type nc = z.cols (); |
|
3220
|
863 |
|
|
864 ComplexMatrix retval (nr, nc); |
|
|
865 |
|
|
866 ierr.resize (nr, nc); |
|
|
867 |
|
5275
|
868 for (octave_idx_type j = 0; j < nc; j++) |
|
|
869 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
870 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
871 |
|
|
872 return retval; |
|
3146
|
873 } |
|
|
874 |
|
3220
|
875 ComplexMatrix |
|
5275
|
876 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
877 { |
|
5275
|
878 octave_idx_type nr = z.rows (); |
|
|
879 octave_idx_type nc = z.cols (); |
|
3220
|
880 |
|
|
881 ComplexMatrix retval (nr, nc); |
|
|
882 |
|
|
883 ierr.resize (nr, nc); |
|
|
884 |
|
5275
|
885 for (octave_idx_type j = 0; j < nc; j++) |
|
|
886 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
887 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
888 |
|
|
889 return retval; |
|
3146
|
890 } |
|
|
891 |
|
4844
|
892 ComplexNDArray |
|
5275
|
893 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
894 { |
|
|
895 dim_vector dv = z.dims (); |
|
5275
|
896 octave_idx_type nel = dv.numel (); |
|
4844
|
897 ComplexNDArray retval (dv); |
|
|
898 |
|
|
899 ierr.resize (dv); |
|
|
900 |
|
5275
|
901 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
902 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
|
|
903 |
|
|
904 return retval; |
|
|
905 } |
|
|
906 |
|
|
907 ComplexNDArray |
|
5275
|
908 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
909 { |
|
|
910 dim_vector dv = z.dims (); |
|
5275
|
911 octave_idx_type nel = dv.numel (); |
|
4844
|
912 ComplexNDArray retval (dv); |
|
|
913 |
|
|
914 ierr.resize (dv); |
|
|
915 |
|
5275
|
916 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
917 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
|
|
918 |
|
|
919 return retval; |
|
|
920 } |
|
|
921 |
|
3146
|
922 static void |
|
5275
|
923 gripe_betainc_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3, |
|
|
924 octave_idx_type c3) |
|
3146
|
925 { |
|
|
926 (*current_liboctave_error_handler) |
|
|
927 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
928 r1, c1, r2, c2, r3, c3); |
|
|
929 } |
|
|
930 |
|
4844
|
931 static dim_vector null_dims (0); |
|
|
932 |
|
|
933 static void |
|
|
934 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2, |
|
|
935 const dim_vector& d3) |
|
|
936 { |
|
|
937 std::string d1_str = d1.str (); |
|
|
938 std::string d2_str = d2.str (); |
|
|
939 std::string d3_str = d3.str (); |
|
|
940 |
|
|
941 (*current_liboctave_error_handler) |
|
|
942 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", |
|
|
943 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); |
|
|
944 } |
|
|
945 |
|
3146
|
946 double |
|
|
947 betainc (double x, double a, double b) |
|
|
948 { |
|
|
949 double retval; |
|
4180
|
950 F77_FUNC (xdbetai, XDBETAI) (x, a, b, retval); |
|
3146
|
951 return retval; |
|
|
952 } |
|
|
953 |
|
|
954 Matrix |
|
|
955 betainc (double x, double a, const Matrix& b) |
|
|
956 { |
|
5275
|
957 octave_idx_type nr = b.rows (); |
|
|
958 octave_idx_type nc = b.cols (); |
|
3146
|
959 |
|
|
960 Matrix retval (nr, nc); |
|
|
961 |
|
5275
|
962 for (octave_idx_type j = 0; j < nc; j++) |
|
|
963 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
964 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
965 |
|
|
966 return retval; |
|
|
967 } |
|
|
968 |
|
|
969 Matrix |
|
|
970 betainc (double x, const Matrix& a, double b) |
|
|
971 { |
|
5275
|
972 octave_idx_type nr = a.rows (); |
|
|
973 octave_idx_type nc = a.cols (); |
|
3146
|
974 |
|
|
975 Matrix retval (nr, nc); |
|
|
976 |
|
5275
|
977 for (octave_idx_type j = 0; j < nc; j++) |
|
|
978 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
979 retval(i,j) = betainc (x, a(i,j), b); |
|
|
980 |
|
|
981 return retval; |
|
|
982 } |
|
|
983 |
|
|
984 Matrix |
|
|
985 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
986 { |
|
|
987 Matrix retval; |
|
|
988 |
|
5275
|
989 octave_idx_type a_nr = a.rows (); |
|
|
990 octave_idx_type a_nc = a.cols (); |
|
3146
|
991 |
|
5275
|
992 octave_idx_type b_nr = b.rows (); |
|
|
993 octave_idx_type b_nc = b.cols (); |
|
3146
|
994 |
|
|
995 if (a_nr == b_nr && a_nc == b_nc) |
|
|
996 { |
|
|
997 retval.resize (a_nr, a_nc); |
|
|
998 |
|
5275
|
999 for (octave_idx_type j = 0; j < a_nc; j++) |
|
|
1000 for (octave_idx_type i = 0; i < a_nr; i++) |
|
3146
|
1001 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
1002 } |
|
|
1003 else |
|
|
1004 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
1005 |
|
|
1006 return retval; |
|
|
1007 } |
|
|
1008 |
|
4844
|
1009 NDArray |
|
|
1010 betainc (double x, double a, const NDArray& b) |
|
|
1011 { |
|
|
1012 dim_vector dv = b.dims (); |
|
|
1013 int nel = dv.numel (); |
|
|
1014 |
|
|
1015 NDArray retval (dv); |
|
|
1016 |
|
|
1017 for (int i = 0; i < nel; i++) |
|
|
1018 retval (i) = betainc (x, a, b(i)); |
|
|
1019 |
|
|
1020 return retval; |
|
|
1021 } |
|
|
1022 |
|
|
1023 NDArray |
|
|
1024 betainc (double x, const NDArray& a, double b) |
|
|
1025 { |
|
|
1026 dim_vector dv = a.dims (); |
|
|
1027 int nel = dv.numel (); |
|
|
1028 |
|
|
1029 NDArray retval (dv); |
|
|
1030 |
|
|
1031 for (int i = 0; i < nel; i++) |
|
|
1032 retval (i) = betainc (x, a(i), b); |
|
|
1033 |
|
|
1034 return retval; |
|
|
1035 } |
|
|
1036 |
|
|
1037 NDArray |
|
|
1038 betainc (double x, const NDArray& a, const NDArray& b) |
|
|
1039 { |
|
|
1040 NDArray retval; |
|
|
1041 dim_vector dv = a.dims (); |
|
|
1042 |
|
|
1043 if (dv == b.dims ()) |
|
|
1044 { |
|
|
1045 int nel = dv.numel (); |
|
|
1046 |
|
|
1047 retval.resize (dv); |
|
|
1048 |
|
|
1049 for (int i = 0; i < nel; i++) |
|
|
1050 retval (i) = betainc (x, a(i), b(i)); |
|
|
1051 } |
|
|
1052 else |
|
|
1053 gripe_betainc_nonconformant (dim_vector (0), dv, b.dims ()); |
|
|
1054 |
|
|
1055 return retval; |
|
|
1056 } |
|
|
1057 |
|
|
1058 |
|
3146
|
1059 Matrix |
|
|
1060 betainc (const Matrix& x, double a, double b) |
|
|
1061 { |
|
5275
|
1062 octave_idx_type nr = x.rows (); |
|
|
1063 octave_idx_type nc = x.cols (); |
|
3146
|
1064 |
|
|
1065 Matrix retval (nr, nc); |
|
|
1066 |
|
5275
|
1067 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1068 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1069 retval(i,j) = betainc (x(i,j), a, b); |
|
|
1070 |
|
|
1071 return retval; |
|
|
1072 } |
|
|
1073 |
|
|
1074 Matrix |
|
|
1075 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
1076 { |
|
|
1077 Matrix retval; |
|
|
1078 |
|
5275
|
1079 octave_idx_type nr = x.rows (); |
|
|
1080 octave_idx_type nc = x.cols (); |
|
3146
|
1081 |
|
5275
|
1082 octave_idx_type b_nr = b.rows (); |
|
|
1083 octave_idx_type b_nc = b.cols (); |
|
3146
|
1084 |
|
|
1085 if (nr == b_nr && nc == b_nc) |
|
|
1086 { |
|
|
1087 retval.resize (nr, nc); |
|
|
1088 |
|
5275
|
1089 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1090 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1091 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
1092 } |
|
|
1093 else |
|
|
1094 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
1095 |
|
|
1096 return retval; |
|
|
1097 } |
|
|
1098 |
|
|
1099 Matrix |
|
|
1100 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
1101 { |
|
|
1102 Matrix retval; |
|
|
1103 |
|
5275
|
1104 octave_idx_type nr = x.rows (); |
|
|
1105 octave_idx_type nc = x.cols (); |
|
3146
|
1106 |
|
5275
|
1107 octave_idx_type a_nr = a.rows (); |
|
|
1108 octave_idx_type a_nc = a.cols (); |
|
3146
|
1109 |
|
|
1110 if (nr == a_nr && nc == a_nc) |
|
|
1111 { |
|
|
1112 retval.resize (nr, nc); |
|
|
1113 |
|
5275
|
1114 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1115 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1116 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
1117 } |
|
|
1118 else |
|
|
1119 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
1120 |
|
|
1121 return retval; |
|
|
1122 } |
|
|
1123 |
|
|
1124 Matrix |
|
|
1125 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
1126 { |
|
|
1127 Matrix retval; |
|
|
1128 |
|
5275
|
1129 octave_idx_type nr = x.rows (); |
|
|
1130 octave_idx_type nc = x.cols (); |
|
3146
|
1131 |
|
5275
|
1132 octave_idx_type a_nr = a.rows (); |
|
|
1133 octave_idx_type a_nc = a.cols (); |
|
3146
|
1134 |
|
5275
|
1135 octave_idx_type b_nr = b.rows (); |
|
|
1136 octave_idx_type b_nc = b.cols (); |
|
3146
|
1137 |
|
|
1138 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
1139 { |
|
|
1140 retval.resize (nr, nc); |
|
|
1141 |
|
5275
|
1142 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1143 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1144 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
1145 } |
|
|
1146 else |
|
|
1147 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
1148 |
|
|
1149 return retval; |
|
|
1150 } |
|
|
1151 |
|
4844
|
1152 NDArray |
|
|
1153 betainc (const NDArray& x, double a, double b) |
|
|
1154 { |
|
|
1155 dim_vector dv = x.dims (); |
|
|
1156 int nel = dv.numel (); |
|
|
1157 |
|
|
1158 NDArray retval (dv); |
|
|
1159 |
|
|
1160 for (int i = 0; i < nel; i++) |
|
|
1161 retval (i) = betainc (x(i), a, b); |
|
|
1162 |
|
|
1163 return retval; |
|
|
1164 } |
|
|
1165 |
|
|
1166 NDArray |
|
|
1167 betainc (const NDArray& x, double a, const NDArray& b) |
|
|
1168 { |
|
|
1169 NDArray retval; |
|
|
1170 dim_vector dv = x.dims (); |
|
|
1171 |
|
|
1172 if (dv == b.dims ()) |
|
|
1173 { |
|
|
1174 int nel = dv.numel (); |
|
|
1175 |
|
|
1176 retval.resize (dv); |
|
|
1177 |
|
|
1178 for (int i = 0; i < nel; i++) |
|
|
1179 retval (i) = betainc (x(i), a, b(i)); |
|
|
1180 } |
|
|
1181 else |
|
|
1182 gripe_betainc_nonconformant (dv, dim_vector (0), b.dims ()); |
|
|
1183 |
|
|
1184 return retval; |
|
|
1185 } |
|
|
1186 |
|
|
1187 NDArray |
|
|
1188 betainc (const NDArray& x, const NDArray& a, double b) |
|
|
1189 { |
|
|
1190 NDArray retval; |
|
|
1191 dim_vector dv = x.dims (); |
|
|
1192 |
|
|
1193 if (dv == a.dims ()) |
|
|
1194 { |
|
|
1195 int nel = dv.numel (); |
|
|
1196 |
|
|
1197 retval.resize (dv); |
|
|
1198 |
|
|
1199 for (int i = 0; i < nel; i++) |
|
|
1200 retval (i) = betainc (x(i), a(i), b); |
|
|
1201 } |
|
|
1202 else |
|
|
1203 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0)); |
|
|
1204 |
|
|
1205 return retval; |
|
|
1206 } |
|
|
1207 |
|
|
1208 NDArray |
|
|
1209 betainc (const NDArray& x, const NDArray& a, const NDArray& b) |
|
|
1210 { |
|
|
1211 NDArray retval; |
|
|
1212 dim_vector dv = x.dims (); |
|
|
1213 |
|
|
1214 if (dv == a.dims () && dv == b.dims ()) |
|
|
1215 { |
|
|
1216 int nel = dv.numel (); |
|
|
1217 |
|
|
1218 retval.resize (dv); |
|
|
1219 |
|
|
1220 for (int i = 0; i < nel; i++) |
|
|
1221 retval (i) = betainc (x(i), a(i), b(i)); |
|
|
1222 } |
|
|
1223 else |
|
|
1224 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
|
|
1225 |
|
|
1226 return retval; |
|
|
1227 } |
|
|
1228 |
|
3164
|
1229 // XXX FIXME XXX -- there is still room for improvement here... |
|
|
1230 |
|
3146
|
1231 double |
|
4004
|
1232 gammainc (double x, double a, bool& err) |
|
3146
|
1233 { |
|
|
1234 double retval; |
|
3164
|
1235 |
|
4004
|
1236 err = false; |
|
3164
|
1237 |
|
4004
|
1238 if (a < 0.0 || x < 0.0) |
|
|
1239 { |
|
|
1240 (*current_liboctave_error_handler) |
|
|
1241 ("gammainc: A and X must be non-negative"); |
|
|
1242 |
|
|
1243 err = true; |
|
|
1244 } |
|
|
1245 else |
|
5278
|
1246 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval)); |
|
3164
|
1247 |
|
3146
|
1248 return retval; |
|
|
1249 } |
|
|
1250 |
|
|
1251 Matrix |
|
|
1252 gammainc (double x, const Matrix& a) |
|
|
1253 { |
|
5275
|
1254 octave_idx_type nr = a.rows (); |
|
|
1255 octave_idx_type nc = a.cols (); |
|
3146
|
1256 |
|
4004
|
1257 Matrix result (nr, nc); |
|
|
1258 Matrix retval; |
|
|
1259 |
|
|
1260 bool err; |
|
3146
|
1261 |
|
5275
|
1262 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1263 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1264 { |
|
|
1265 result(i,j) = gammainc (x, a(i,j), err); |
|
|
1266 |
|
|
1267 if (err) |
|
|
1268 goto done; |
|
|
1269 } |
|
|
1270 |
|
|
1271 retval = result; |
|
|
1272 |
|
|
1273 done: |
|
3146
|
1274 |
|
|
1275 return retval; |
|
|
1276 } |
|
|
1277 |
|
|
1278 Matrix |
|
|
1279 gammainc (const Matrix& x, double a) |
|
|
1280 { |
|
5275
|
1281 octave_idx_type nr = x.rows (); |
|
|
1282 octave_idx_type nc = x.cols (); |
|
3146
|
1283 |
|
4004
|
1284 Matrix result (nr, nc); |
|
|
1285 Matrix retval; |
|
|
1286 |
|
|
1287 bool err; |
|
3146
|
1288 |
|
5275
|
1289 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1290 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1291 { |
|
|
1292 result(i,j) = gammainc (x(i,j), a, err); |
|
|
1293 |
|
|
1294 if (err) |
|
|
1295 goto done; |
|
|
1296 } |
|
|
1297 |
|
|
1298 retval = result; |
|
|
1299 |
|
|
1300 done: |
|
3146
|
1301 |
|
|
1302 return retval; |
|
|
1303 } |
|
|
1304 |
|
|
1305 Matrix |
|
|
1306 gammainc (const Matrix& x, const Matrix& a) |
|
|
1307 { |
|
4004
|
1308 Matrix result; |
|
3146
|
1309 Matrix retval; |
|
|
1310 |
|
5275
|
1311 octave_idx_type nr = x.rows (); |
|
|
1312 octave_idx_type nc = x.cols (); |
|
3146
|
1313 |
|
5275
|
1314 octave_idx_type a_nr = a.rows (); |
|
|
1315 octave_idx_type a_nc = a.cols (); |
|
3146
|
1316 |
|
|
1317 if (nr == a_nr && nc == a_nc) |
|
|
1318 { |
|
4004
|
1319 result.resize (nr, nc); |
|
|
1320 |
|
|
1321 bool err; |
|
3146
|
1322 |
|
5275
|
1323 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1324 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1325 { |
|
|
1326 result(i,j) = gammainc (x(i,j), a(i,j), err); |
|
|
1327 |
|
|
1328 if (err) |
|
|
1329 goto done; |
|
|
1330 } |
|
|
1331 |
|
|
1332 retval = result; |
|
3146
|
1333 } |
|
|
1334 else |
|
|
1335 (*current_liboctave_error_handler) |
|
|
1336 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
1337 nr, nc, a_nr, a_nc); |
|
|
1338 |
|
4004
|
1339 done: |
|
|
1340 |
|
3146
|
1341 return retval; |
|
|
1342 } |
|
|
1343 |
|
4844
|
1344 NDArray |
|
|
1345 gammainc (double x, const NDArray& a) |
|
|
1346 { |
|
|
1347 dim_vector dv = a.dims (); |
|
|
1348 int nel = dv.numel (); |
|
|
1349 |
|
|
1350 NDArray retval; |
|
|
1351 NDArray result (dv); |
|
|
1352 |
|
|
1353 bool err; |
|
|
1354 |
|
|
1355 for (int i = 0; i < nel; i++) |
|
|
1356 { |
|
|
1357 result (i) = gammainc (x, a(i), err); |
|
|
1358 |
|
|
1359 if (err) |
|
|
1360 goto done; |
|
|
1361 } |
|
|
1362 |
|
|
1363 retval = result; |
|
|
1364 |
|
|
1365 done: |
|
|
1366 |
|
|
1367 return retval; |
|
|
1368 } |
|
|
1369 |
|
|
1370 NDArray |
|
|
1371 gammainc (const NDArray& x, double a) |
|
|
1372 { |
|
|
1373 dim_vector dv = x.dims (); |
|
|
1374 int nel = dv.numel (); |
|
|
1375 |
|
|
1376 NDArray retval; |
|
|
1377 NDArray result (dv); |
|
|
1378 |
|
|
1379 bool err; |
|
|
1380 |
|
|
1381 for (int i = 0; i < nel; i++) |
|
|
1382 { |
|
|
1383 result (i) = gammainc (x(i), a, err); |
|
|
1384 |
|
|
1385 if (err) |
|
|
1386 goto done; |
|
|
1387 } |
|
|
1388 |
|
|
1389 retval = result; |
|
|
1390 |
|
|
1391 done: |
|
|
1392 |
|
|
1393 return retval; |
|
|
1394 } |
|
|
1395 |
|
|
1396 NDArray |
|
|
1397 gammainc (const NDArray& x, const NDArray& a) |
|
|
1398 { |
|
|
1399 dim_vector dv = x.dims (); |
|
|
1400 int nel = dv.numel (); |
|
|
1401 |
|
|
1402 NDArray retval; |
|
|
1403 NDArray result; |
|
|
1404 |
|
|
1405 if (dv == a.dims ()) |
|
|
1406 { |
|
|
1407 result.resize (dv); |
|
|
1408 |
|
|
1409 bool err; |
|
|
1410 |
|
|
1411 for (int i = 0; i < nel; i++) |
|
|
1412 { |
|
|
1413 result (i) = gammainc (x(i), a(i), err); |
|
|
1414 |
|
|
1415 if (err) |
|
|
1416 goto done; |
|
|
1417 } |
|
|
1418 |
|
|
1419 retval = result; |
|
|
1420 } |
|
|
1421 else |
|
|
1422 { |
|
|
1423 std::string x_str = dv.str (); |
|
|
1424 std::string a_str = a.dims ().str (); |
|
|
1425 |
|
|
1426 (*current_liboctave_error_handler) |
|
|
1427 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
|
|
1428 x_str.c_str (), a_str. c_str ()); |
|
|
1429 } |
|
|
1430 |
|
|
1431 done: |
|
|
1432 |
|
|
1433 return retval; |
|
|
1434 } |
|
|
1435 |
|
3146
|
1436 /* |
|
|
1437 ;;; Local Variables: *** |
|
|
1438 ;;; mode: C++ *** |
|
|
1439 ;;; End: *** |
|
|
1440 */ |
