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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 #include "lo-mappers.h" |
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41 |
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42 #ifndef M_PI |
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43 #define M_PI 3.14159265358979323846 |
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44 #endif |
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45 |
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46 extern "C" |
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47 { |
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48 F77_RET_T |
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49 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&, |
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50 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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51 octave_idx_type&, octave_idx_type&); |
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52 |
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53 F77_RET_T |
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54 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&, |
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55 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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56 octave_idx_type&, double*, double*, octave_idx_type&); |
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57 |
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58 F77_RET_T |
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59 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&, |
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60 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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61 octave_idx_type&, octave_idx_type&); |
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62 |
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63 F77_RET_T |
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64 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&, |
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65 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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66 octave_idx_type&, octave_idx_type&); |
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67 |
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68 F77_RET_T |
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69 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&, |
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70 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
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71 double*, octave_idx_type&, octave_idx_type&); |
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72 |
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73 F77_RET_T |
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74 F77_FUNC (zairy, ZAIRY) (const double&, const double&, const octave_idx_type&, |
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75 const octave_idx_type&, double&, double&, octave_idx_type&, octave_idx_type&); |
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76 |
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77 F77_RET_T |
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78 F77_FUNC (zbiry, ZBIRY) (const double&, const double&, const octave_idx_type&, |
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79 const octave_idx_type&, double&, double&, octave_idx_type&); |
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80 |
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81 F77_RET_T |
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82 F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
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83 |
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84 F77_RET_T |
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85 F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
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86 |
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87 F77_RET_T |
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88 F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
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89 |
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90 F77_RET_T |
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91 F77_FUNC (xderf, XDERF) (const double&, double&); |
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92 |
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93 F77_RET_T |
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94 F77_FUNC (xderfc, XDERFC) (const double&, double&); |
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95 |
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96 F77_RET_T |
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97 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
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98 const double&, double&); |
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99 |
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100 F77_RET_T |
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101 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
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102 |
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103 F77_RET_T |
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104 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
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105 |
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106 F77_RET_T |
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107 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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108 } |
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109 |
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110 #if !defined (HAVE_ACOSH) |
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111 double |
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112 acosh (double x) |
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113 { |
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114 double retval; |
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115 F77_XFCN (xdacosh, XDACOSH, (x, retval)); |
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116 return retval; |
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117 } |
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118 #endif |
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119 |
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120 #if !defined (HAVE_ASINH) |
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121 double |
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122 asinh (double x) |
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123 { |
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124 double retval; |
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125 F77_XFCN (xdasinh, XDASINH, (x, retval)); |
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126 return retval; |
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127 } |
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128 #endif |
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129 |
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130 #if !defined (HAVE_ATANH) |
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131 double |
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132 atanh (double x) |
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133 { |
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134 double retval; |
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135 F77_XFCN (xdatanh, XDATANH, (x, retval)); |
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136 return retval; |
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137 } |
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138 #endif |
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139 |
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140 #if !defined (HAVE_ERF) |
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141 double |
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142 erf (double x) |
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143 { |
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144 double retval; |
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145 F77_XFCN (xderf, XDERF, (x, retval)); |
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146 return retval; |
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147 } |
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148 #endif |
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149 |
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150 #if !defined (HAVE_ERFC) |
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151 double |
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152 erfc (double x) |
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153 { |
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154 double retval; |
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155 F77_XFCN (xderfc, XDERFC, (x, retval)); |
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156 return retval; |
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157 } |
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158 #endif |
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159 |
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160 double |
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161 xgamma (double x) |
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162 { |
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163 double result; |
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164 |
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165 if (xisnan (x)) |
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166 result = x; |
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167 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
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168 result = octave_Inf; |
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169 else |
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170 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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171 return result; |
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172 } |
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173 |
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174 double |
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175 xlgamma (double x) |
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176 { |
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177 double result; |
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178 double sgngam; |
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179 |
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180 if (xisnan (x)) |
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181 result = x; |
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182 else if (x <= 0 || xisinf (x)) |
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183 result = octave_Inf; |
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184 else |
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185 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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186 |
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187 return result; |
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188 } |
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189 |
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190 static inline Complex |
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191 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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192 |
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193 static inline Complex |
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194 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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195 |
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196 static inline Complex |
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197 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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198 |
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199 static inline Complex |
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200 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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201 |
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202 static inline Complex |
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203 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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204 |
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205 static inline Complex |
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206 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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207 |
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208 static inline Complex |
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209 bessel_return_value (const Complex& val, octave_idx_type ierr) |
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210 { |
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211 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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212 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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213 |
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214 Complex retval; |
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215 |
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216 switch (ierr) |
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217 { |
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218 case 0: |
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219 case 3: |
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220 retval = val; |
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221 break; |
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222 |
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223 case 2: |
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224 retval = inf_val; |
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225 break; |
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226 |
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227 default: |
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228 retval = nan_val; |
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229 break; |
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230 } |
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231 |
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232 return retval; |
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233 } |
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234 |
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235 static inline bool |
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236 is_integer_value (double x) |
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237 { |
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238 return x == static_cast<double> (static_cast<long> (x)); |
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239 } |
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240 |
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241 static inline Complex |
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242 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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243 { |
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244 Complex retval; |
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245 |
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246 if (alpha >= 0.0) |
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247 { |
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248 double yr = 0.0; |
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249 double yi = 0.0; |
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250 |
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251 octave_idx_type nz; |
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252 |
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253 double zr = z.real (); |
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254 double zi = z.imag (); |
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255 |
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256 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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257 |
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258 if (kode != 2) |
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259 { |
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260 double expz = exp (std::abs (zi)); |
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261 yr *= expz; |
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262 yi *= expz; |
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263 } |
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264 |
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265 if (zi == 0.0 && zr >= 0.0) |
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266 yi = 0.0; |
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267 |
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268 retval = bessel_return_value (Complex (yr, yi), ierr); |
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269 } |
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270 else if (is_integer_value (alpha)) |
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271 { |
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272 // zbesy can overflow as z->0, and cause troubles for generic case below |
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273 alpha = -alpha; |
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274 Complex tmp = zbesj (z, alpha, kode, ierr); |
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275 if ((static_cast <long> (alpha)) & 1) |
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276 tmp = - tmp; |
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277 retval = bessel_return_value (tmp, ierr); |
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278 } |
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279 else |
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280 { |
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281 alpha = -alpha; |
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282 |
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283 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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284 |
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285 if (ierr == 0 || ierr == 3) |
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286 { |
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287 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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288 |
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289 retval = bessel_return_value (tmp, ierr); |
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290 } |
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291 else |
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292 retval = Complex (octave_NaN, octave_NaN); |
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293 } |
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294 |
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295 return retval; |
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296 } |
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297 |
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298 static inline Complex |
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299 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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300 { |
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301 Complex retval; |
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302 |
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303 if (alpha >= 0.0) |
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304 { |
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305 double yr = 0.0; |
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306 double yi = 0.0; |
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307 |
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308 octave_idx_type nz; |
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309 |
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310 double wr, wi; |
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311 |
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312 double zr = z.real (); |
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313 double zi = z.imag (); |
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314 |
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315 ierr = 0; |
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316 |
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317 if (zr == 0.0 && zi == 0.0) |
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318 { |
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319 yr = -octave_Inf; |
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320 yi = 0.0; |
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321 } |
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322 else |
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323 { |
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324 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
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325 &wr, &wi, ierr); |
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326 |
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327 if (kode != 2) |
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328 { |
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329 double expz = exp (std::abs (zi)); |
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330 yr *= expz; |
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331 yi *= expz; |
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332 } |
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333 |
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334 if (zi == 0.0 && zr >= 0.0) |
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335 yi = 0.0; |
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336 } |
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337 |
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338 return bessel_return_value (Complex (yr, yi), ierr); |
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339 } |
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340 else if (is_integer_value (alpha - 0.5)) |
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341 { |
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342 // zbesy can overflow as z->0, and cause troubles for generic case below |
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343 alpha = -alpha; |
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344 Complex tmp = zbesj (z, alpha, kode, ierr); |
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345 if ((static_cast <long> (alpha - 0.5)) & 1) |
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346 tmp = - tmp; |
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347 retval = bessel_return_value (tmp, ierr); |
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348 } |
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349 else |
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350 { |
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351 alpha = -alpha; |
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352 |
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353 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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354 |
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355 if (ierr == 0 || ierr == 3) |
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356 { |
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357 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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358 |
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359 retval = bessel_return_value (tmp, ierr); |
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360 } |
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361 else |
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362 retval = Complex (octave_NaN, octave_NaN); |
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363 } |
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364 |
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365 return retval; |
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366 } |
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367 |
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368 static inline Complex |
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369 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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370 { |
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371 Complex retval; |
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372 |
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373 if (alpha >= 0.0) |
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374 { |
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375 double yr = 0.0; |
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376 double yi = 0.0; |
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377 |
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378 octave_idx_type nz; |
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379 |
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380 double zr = z.real (); |
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381 double zi = z.imag (); |
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382 |
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383 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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384 |
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385 if (kode != 2) |
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386 { |
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387 double expz = exp (std::abs (zr)); |
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388 yr *= expz; |
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389 yi *= expz; |
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390 } |
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391 |
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392 if (zi == 0.0 && zr >= 0.0) |
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393 yi = 0.0; |
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394 |
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395 retval = bessel_return_value (Complex (yr, yi), ierr); |
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396 } |
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397 else |
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398 { |
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399 alpha = -alpha; |
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400 |
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401 Complex tmp = zbesi (z, alpha, kode, ierr); |
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402 |
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403 if (ierr == 0 || ierr == 3) |
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404 { |
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405 if (! is_integer_value (alpha - 0.5)) |
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406 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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407 * zbesk (z, alpha, kode, ierr); |
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408 |
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409 retval = bessel_return_value (tmp, ierr); |
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410 } |
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411 else |
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412 retval = Complex (octave_NaN, octave_NaN); |
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413 } |
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414 |
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415 return retval; |
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416 } |
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417 |
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418 static inline Complex |
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5275
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419 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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420 { |
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421 Complex retval; |
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422 |
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423 if (alpha >= 0.0) |
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424 { |
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425 double yr = 0.0; |
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426 double yi = 0.0; |
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427 |
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5275
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428 octave_idx_type nz; |
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429 |
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430 double zr = z.real (); |
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431 double zi = z.imag (); |
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432 |
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433 ierr = 0; |
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434 |
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435 if (zr == 0.0 && zi == 0.0) |
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436 { |
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437 yr = octave_Inf; |
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438 yi = 0.0; |
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439 } |
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440 else |
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441 { |
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4506
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442 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
|
|
443 |
|
|
444 if (kode != 2) |
|
|
445 { |
|
|
446 Complex expz = exp (-z); |
|
|
447 |
|
|
448 double rexpz = real (expz); |
|
|
449 double iexpz = imag (expz); |
|
|
450 |
|
|
451 double tmp = yr*rexpz - yi*iexpz; |
|
|
452 |
|
|
453 yi = yr*iexpz + yi*rexpz; |
|
|
454 yr = tmp; |
|
|
455 } |
|
3220
|
456 |
|
4490
|
457 if (zi == 0.0 && zr >= 0.0) |
|
3220
|
458 yi = 0.0; |
|
|
459 } |
|
|
460 |
|
|
461 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
462 } |
|
|
463 else |
|
|
464 { |
|
|
465 Complex tmp = zbesk (z, -alpha, kode, ierr); |
|
|
466 |
|
|
467 retval = bessel_return_value (tmp, ierr); |
|
|
468 } |
|
3146
|
469 |
|
|
470 return retval; |
|
|
471 } |
|
|
472 |
|
3220
|
473 static inline Complex |
|
5275
|
474 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3146
|
475 { |
|
3220
|
476 Complex retval; |
|
3146
|
477 |
|
3220
|
478 if (alpha >= 0.0) |
|
3146
|
479 { |
|
3220
|
480 double yr = 0.0; |
|
|
481 double yi = 0.0; |
|
|
482 |
|
5275
|
483 octave_idx_type nz; |
|
3220
|
484 |
|
|
485 double zr = z.real (); |
|
|
486 double zi = z.imag (); |
|
3146
|
487 |
|
4506
|
488 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
|
|
489 |
|
|
490 if (kode != 2) |
|
|
491 { |
|
|
492 Complex expz = exp (Complex (0.0, 1.0) * z); |
|
|
493 |
|
|
494 double rexpz = real (expz); |
|
|
495 double iexpz = imag (expz); |
|
|
496 |
|
|
497 double tmp = yr*rexpz - yi*iexpz; |
|
|
498 |
|
|
499 yi = yr*iexpz + yi*rexpz; |
|
|
500 yr = tmp; |
|
|
501 } |
|
3146
|
502 |
|
3220
|
503 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
504 } |
|
|
505 else |
|
|
506 { |
|
|
507 alpha = -alpha; |
|
|
508 |
|
|
509 static const Complex eye = Complex (0.0, 1.0); |
|
3146
|
510 |
|
3220
|
511 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
|
3146
|
512 |
|
3220
|
513 retval = bessel_return_value (tmp, ierr); |
|
|
514 } |
|
3146
|
515 |
|
3220
|
516 return retval; |
|
|
517 } |
|
3146
|
518 |
|
3220
|
519 static inline Complex |
|
5275
|
520 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3220
|
521 { |
|
|
522 Complex retval; |
|
3146
|
523 |
|
3220
|
524 if (alpha >= 0.0) |
|
|
525 { |
|
|
526 double yr = 0.0; |
|
|
527 double yi = 0.0; |
|
|
528 |
|
5275
|
529 octave_idx_type nz; |
|
3146
|
530 |
|
3220
|
531 double zr = z.real (); |
|
|
532 double zi = z.imag (); |
|
3146
|
533 |
|
4506
|
534 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
|
|
535 |
|
|
536 if (kode != 2) |
|
|
537 { |
|
|
538 Complex expz = exp (-Complex (0.0, 1.0) * z); |
|
|
539 |
|
|
540 double rexpz = real (expz); |
|
|
541 double iexpz = imag (expz); |
|
|
542 |
|
|
543 double tmp = yr*rexpz - yi*iexpz; |
|
|
544 |
|
|
545 yi = yr*iexpz + yi*rexpz; |
|
|
546 yr = tmp; |
|
|
547 } |
|
3220
|
548 |
|
|
549 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
3146
|
550 } |
|
|
551 else |
|
3220
|
552 { |
|
|
553 alpha = -alpha; |
|
|
554 |
|
|
555 static const Complex eye = Complex (0.0, 1.0); |
|
|
556 |
|
|
557 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
|
|
558 |
|
|
559 retval = bessel_return_value (tmp, ierr); |
|
|
560 } |
|
|
561 |
|
|
562 return retval; |
|
|
563 } |
|
|
564 |
|
5275
|
565 typedef Complex (*fptr) (const Complex&, double, int, octave_idx_type&); |
|
3220
|
566 |
|
|
567 static inline Complex |
|
|
568 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
|
5275
|
569 bool scaled, octave_idx_type& ierr) |
|
3220
|
570 { |
|
|
571 Complex retval; |
|
|
572 |
|
|
573 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
|
|
574 |
|
|
575 return retval; |
|
|
576 } |
|
|
577 |
|
|
578 static inline ComplexMatrix |
|
|
579 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
|
5275
|
580 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
581 { |
|
5275
|
582 octave_idx_type nr = x.rows (); |
|
|
583 octave_idx_type nc = x.cols (); |
|
3220
|
584 |
|
|
585 ComplexMatrix retval (nr, nc); |
|
|
586 |
|
|
587 ierr.resize (nr, nc); |
|
|
588 |
|
5275
|
589 for (octave_idx_type j = 0; j < nc; j++) |
|
|
590 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
591 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
592 |
|
|
593 return retval; |
|
|
594 } |
|
|
595 |
|
|
596 static inline ComplexMatrix |
|
|
597 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
5275
|
598 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
599 { |
|
5275
|
600 octave_idx_type nr = alpha.rows (); |
|
|
601 octave_idx_type nc = alpha.cols (); |
|
3220
|
602 |
|
|
603 ComplexMatrix retval (nr, nc); |
|
|
604 |
|
|
605 ierr.resize (nr, nc); |
|
|
606 |
|
5275
|
607 for (octave_idx_type j = 0; j < nc; j++) |
|
|
608 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
609 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
610 |
|
|
611 return retval; |
|
|
612 } |
|
|
613 |
|
3220
|
614 static inline ComplexMatrix |
|
|
615 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
5275
|
616 const ComplexMatrix& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
617 { |
|
3220
|
618 ComplexMatrix retval; |
|
|
619 |
|
5275
|
620 octave_idx_type x_nr = x.rows (); |
|
|
621 octave_idx_type x_nc = x.cols (); |
|
3220
|
622 |
|
5275
|
623 octave_idx_type alpha_nr = alpha.rows (); |
|
|
624 octave_idx_type alpha_nc = alpha.cols (); |
|
3220
|
625 |
|
|
626 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
627 { |
|
5275
|
628 octave_idx_type nr = x_nr; |
|
|
629 octave_idx_type nc = x_nc; |
|
3220
|
630 |
|
|
631 retval.resize (nr, nc); |
|
|
632 |
|
|
633 ierr.resize (nr, nc); |
|
|
634 |
|
5275
|
635 for (octave_idx_type j = 0; j < nc; j++) |
|
|
636 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
637 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
638 } |
|
|
639 else |
|
|
640 (*current_liboctave_error_handler) |
|
|
641 ("%s: the sizes of alpha and x must conform", fn); |
|
|
642 |
|
|
643 return retval; |
|
3146
|
644 } |
|
|
645 |
|
4844
|
646 static inline ComplexNDArray |
|
|
647 do_bessel (fptr f, const char *, double alpha, const ComplexNDArray& x, |
|
5275
|
648 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
649 { |
|
|
650 dim_vector dv = x.dims (); |
|
5275
|
651 octave_idx_type nel = dv.numel (); |
|
4844
|
652 ComplexNDArray retval (dv); |
|
|
653 |
|
|
654 ierr.resize (dv); |
|
|
655 |
|
5275
|
656 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
657 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
|
|
658 |
|
|
659 return retval; |
|
|
660 } |
|
|
661 |
|
|
662 static inline ComplexNDArray |
|
|
663 do_bessel (fptr f, const char *, const NDArray& alpha, const Complex& x, |
|
5275
|
664 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
665 { |
|
|
666 dim_vector dv = alpha.dims (); |
|
5275
|
667 octave_idx_type nel = dv.numel (); |
|
4844
|
668 ComplexNDArray retval (dv); |
|
|
669 |
|
|
670 ierr.resize (dv); |
|
|
671 |
|
5275
|
672 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
673 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
674 |
|
|
675 return retval; |
|
|
676 } |
|
|
677 |
|
|
678 static inline ComplexNDArray |
|
|
679 do_bessel (fptr f, const char *fn, const NDArray& alpha, |
|
5275
|
680 const ComplexNDArray& x, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
681 { |
|
|
682 dim_vector dv = x.dims (); |
|
|
683 ComplexNDArray retval; |
|
|
684 |
|
|
685 if (dv == alpha.dims ()) |
|
|
686 { |
|
5275
|
687 octave_idx_type nel = dv.numel (); |
|
4844
|
688 |
|
|
689 retval.resize (dv); |
|
|
690 ierr.resize (dv); |
|
|
691 |
|
5275
|
692 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
693 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
694 } |
|
|
695 else |
|
|
696 (*current_liboctave_error_handler) |
|
|
697 ("%s: the sizes of alpha and x must conform", fn); |
|
|
698 |
|
|
699 return retval; |
|
|
700 } |
|
|
701 |
|
3220
|
702 static inline ComplexMatrix |
|
|
703 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
5275
|
704 const ComplexColumnVector& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
705 { |
|
5275
|
706 octave_idx_type nr = x.length (); |
|
|
707 octave_idx_type nc = alpha.length (); |
|
3220
|
708 |
|
|
709 ComplexMatrix retval (nr, nc); |
|
3146
|
710 |
|
3220
|
711 ierr.resize (nr, nc); |
|
|
712 |
|
5275
|
713 for (octave_idx_type j = 0; j < nc; j++) |
|
|
714 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
715 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
716 |
|
|
717 return retval; |
|
3146
|
718 } |
|
|
719 |
|
3220
|
720 #define SS_BESSEL(name, fcn) \ |
|
|
721 Complex \ |
|
5275
|
722 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \ |
|
3220
|
723 { \ |
|
|
724 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
725 } |
|
|
726 |
|
|
727 #define SM_BESSEL(name, fcn) \ |
|
|
728 ComplexMatrix \ |
|
|
729 name (double alpha, const ComplexMatrix& 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 MS_BESSEL(name, fcn) \ |
|
|
736 ComplexMatrix \ |
|
|
737 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
5275
|
738 Array2<octave_idx_type>& ierr) \ |
|
3220
|
739 { \ |
|
|
740 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
741 } |
|
|
742 |
|
|
743 #define MM_BESSEL(name, fcn) \ |
|
|
744 ComplexMatrix \ |
|
|
745 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
5275
|
746 Array2<octave_idx_type>& ierr) \ |
|
3220
|
747 { \ |
|
|
748 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
749 } |
|
|
750 |
|
4844
|
751 #define SN_BESSEL(name, fcn) \ |
|
|
752 ComplexNDArray \ |
|
|
753 name (double alpha, const ComplexNDArray& 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 NS_BESSEL(name, fcn) \ |
|
|
760 ComplexNDArray \ |
|
|
761 name (const NDArray& alpha, const Complex& x, bool scaled, \ |
|
5275
|
762 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
763 { \ |
|
|
764 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
765 } |
|
|
766 |
|
|
767 #define NN_BESSEL(name, fcn) \ |
|
|
768 ComplexNDArray \ |
|
|
769 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \ |
|
5275
|
770 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
771 { \ |
|
|
772 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
773 } |
|
|
774 |
|
3220
|
775 #define RC_BESSEL(name, fcn) \ |
|
|
776 ComplexMatrix \ |
|
|
777 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
5275
|
778 Array2<octave_idx_type>& ierr) \ |
|
3220
|
779 { \ |
|
|
780 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
781 } |
|
|
782 |
|
|
783 #define ALL_BESSEL(name, fcn) \ |
|
|
784 SS_BESSEL (name, fcn) \ |
|
|
785 SM_BESSEL (name, fcn) \ |
|
|
786 MS_BESSEL (name, fcn) \ |
|
|
787 MM_BESSEL (name, fcn) \ |
|
4844
|
788 SN_BESSEL (name, fcn) \ |
|
|
789 NS_BESSEL (name, fcn) \ |
|
|
790 NN_BESSEL (name, fcn) \ |
|
3220
|
791 RC_BESSEL (name, fcn) |
|
|
792 |
|
|
793 ALL_BESSEL (besselj, zbesj) |
|
|
794 ALL_BESSEL (bessely, zbesy) |
|
|
795 ALL_BESSEL (besseli, zbesi) |
|
|
796 ALL_BESSEL (besselk, zbesk) |
|
|
797 ALL_BESSEL (besselh1, zbesh1) |
|
|
798 ALL_BESSEL (besselh2, zbesh2) |
|
|
799 |
|
|
800 Complex |
|
5275
|
801 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
802 { |
|
3220
|
803 double ar = 0.0; |
|
|
804 double ai = 0.0; |
|
|
805 |
|
5275
|
806 octave_idx_type nz; |
|
3220
|
807 |
|
|
808 double zr = z.real (); |
|
|
809 double zi = z.imag (); |
|
3146
|
810 |
|
5275
|
811 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
812 |
|
4506
|
813 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
|
|
814 |
|
|
815 if (! scaled) |
|
|
816 { |
|
|
817 Complex expz = exp (- 2.0 / 3.0 * z * sqrt(z)); |
|
3220
|
818 |
|
4506
|
819 double rexpz = real (expz); |
|
|
820 double iexpz = imag (expz); |
|
|
821 |
|
|
822 double tmp = ar*rexpz - ai*iexpz; |
|
|
823 |
|
|
824 ai = ar*iexpz + ai*rexpz; |
|
|
825 ar = tmp; |
|
|
826 } |
|
3220
|
827 |
|
4490
|
828 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
829 ai = 0.0; |
|
|
830 |
|
3220
|
831 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
832 } |
|
|
833 |
|
3220
|
834 Complex |
|
5275
|
835 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
836 { |
|
3220
|
837 double ar = 0.0; |
|
|
838 double ai = 0.0; |
|
|
839 |
|
|
840 double zr = z.real (); |
|
|
841 double zi = z.imag (); |
|
|
842 |
|
5275
|
843 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
844 |
|
4506
|
845 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
|
|
846 |
|
|
847 if (! scaled) |
|
|
848 { |
|
|
849 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); |
|
3220
|
850 |
|
4506
|
851 double rexpz = real (expz); |
|
|
852 double iexpz = imag (expz); |
|
|
853 |
|
|
854 double tmp = ar*rexpz - ai*iexpz; |
|
|
855 |
|
|
856 ai = ar*iexpz + ai*rexpz; |
|
|
857 ar = tmp; |
|
|
858 } |
|
3220
|
859 |
|
4490
|
860 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
861 ai = 0.0; |
|
|
862 |
|
3220
|
863 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
864 } |
|
|
865 |
|
3220
|
866 ComplexMatrix |
|
5275
|
867 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
868 { |
|
5275
|
869 octave_idx_type nr = z.rows (); |
|
|
870 octave_idx_type nc = z.cols (); |
|
3220
|
871 |
|
|
872 ComplexMatrix retval (nr, nc); |
|
|
873 |
|
|
874 ierr.resize (nr, nc); |
|
|
875 |
|
5275
|
876 for (octave_idx_type j = 0; j < nc; j++) |
|
|
877 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
878 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
879 |
|
|
880 return retval; |
|
3146
|
881 } |
|
|
882 |
|
3220
|
883 ComplexMatrix |
|
5275
|
884 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
885 { |
|
5275
|
886 octave_idx_type nr = z.rows (); |
|
|
887 octave_idx_type nc = z.cols (); |
|
3220
|
888 |
|
|
889 ComplexMatrix retval (nr, nc); |
|
|
890 |
|
|
891 ierr.resize (nr, nc); |
|
|
892 |
|
5275
|
893 for (octave_idx_type j = 0; j < nc; j++) |
|
|
894 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
895 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
896 |
|
|
897 return retval; |
|
3146
|
898 } |
|
|
899 |
|
4844
|
900 ComplexNDArray |
|
5275
|
901 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
902 { |
|
|
903 dim_vector dv = z.dims (); |
|
5275
|
904 octave_idx_type nel = dv.numel (); |
|
4844
|
905 ComplexNDArray retval (dv); |
|
|
906 |
|
|
907 ierr.resize (dv); |
|
|
908 |
|
5275
|
909 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
910 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
|
|
911 |
|
|
912 return retval; |
|
|
913 } |
|
|
914 |
|
|
915 ComplexNDArray |
|
5275
|
916 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
917 { |
|
|
918 dim_vector dv = z.dims (); |
|
5275
|
919 octave_idx_type nel = dv.numel (); |
|
4844
|
920 ComplexNDArray retval (dv); |
|
|
921 |
|
|
922 ierr.resize (dv); |
|
|
923 |
|
5275
|
924 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
925 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
|
|
926 |
|
|
927 return retval; |
|
|
928 } |
|
|
929 |
|
3146
|
930 static void |
|
5275
|
931 gripe_betainc_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3, |
|
|
932 octave_idx_type c3) |
|
3146
|
933 { |
|
|
934 (*current_liboctave_error_handler) |
|
|
935 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
936 r1, c1, r2, c2, r3, c3); |
|
|
937 } |
|
|
938 |
|
4844
|
939 static dim_vector null_dims (0); |
|
|
940 |
|
|
941 static void |
|
|
942 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2, |
|
|
943 const dim_vector& d3) |
|
|
944 { |
|
|
945 std::string d1_str = d1.str (); |
|
|
946 std::string d2_str = d2.str (); |
|
|
947 std::string d3_str = d3.str (); |
|
|
948 |
|
|
949 (*current_liboctave_error_handler) |
|
|
950 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", |
|
|
951 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); |
|
|
952 } |
|
|
953 |
|
3146
|
954 double |
|
|
955 betainc (double x, double a, double b) |
|
|
956 { |
|
|
957 double retval; |
|
5700
|
958 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
|
3146
|
959 return retval; |
|
|
960 } |
|
|
961 |
|
|
962 Matrix |
|
|
963 betainc (double x, double a, const Matrix& b) |
|
|
964 { |
|
5275
|
965 octave_idx_type nr = b.rows (); |
|
|
966 octave_idx_type nc = b.cols (); |
|
3146
|
967 |
|
|
968 Matrix retval (nr, nc); |
|
|
969 |
|
5275
|
970 for (octave_idx_type j = 0; j < nc; j++) |
|
|
971 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
972 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
973 |
|
|
974 return retval; |
|
|
975 } |
|
|
976 |
|
|
977 Matrix |
|
|
978 betainc (double x, const Matrix& a, double b) |
|
|
979 { |
|
5275
|
980 octave_idx_type nr = a.rows (); |
|
|
981 octave_idx_type nc = a.cols (); |
|
3146
|
982 |
|
|
983 Matrix retval (nr, nc); |
|
|
984 |
|
5275
|
985 for (octave_idx_type j = 0; j < nc; j++) |
|
|
986 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
987 retval(i,j) = betainc (x, a(i,j), b); |
|
|
988 |
|
|
989 return retval; |
|
|
990 } |
|
|
991 |
|
|
992 Matrix |
|
|
993 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
994 { |
|
|
995 Matrix retval; |
|
|
996 |
|
5275
|
997 octave_idx_type a_nr = a.rows (); |
|
|
998 octave_idx_type a_nc = a.cols (); |
|
3146
|
999 |
|
5275
|
1000 octave_idx_type b_nr = b.rows (); |
|
|
1001 octave_idx_type b_nc = b.cols (); |
|
3146
|
1002 |
|
|
1003 if (a_nr == b_nr && a_nc == b_nc) |
|
|
1004 { |
|
|
1005 retval.resize (a_nr, a_nc); |
|
|
1006 |
|
5275
|
1007 for (octave_idx_type j = 0; j < a_nc; j++) |
|
|
1008 for (octave_idx_type i = 0; i < a_nr; i++) |
|
3146
|
1009 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
1010 } |
|
|
1011 else |
|
|
1012 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
1013 |
|
|
1014 return retval; |
|
|
1015 } |
|
|
1016 |
|
4844
|
1017 NDArray |
|
|
1018 betainc (double x, double a, const NDArray& b) |
|
|
1019 { |
|
|
1020 dim_vector dv = b.dims (); |
|
|
1021 int nel = dv.numel (); |
|
|
1022 |
|
|
1023 NDArray retval (dv); |
|
|
1024 |
|
|
1025 for (int i = 0; i < nel; i++) |
|
|
1026 retval (i) = betainc (x, a, b(i)); |
|
|
1027 |
|
|
1028 return retval; |
|
|
1029 } |
|
|
1030 |
|
|
1031 NDArray |
|
|
1032 betainc (double x, const NDArray& a, double b) |
|
|
1033 { |
|
|
1034 dim_vector dv = a.dims (); |
|
|
1035 int nel = dv.numel (); |
|
|
1036 |
|
|
1037 NDArray retval (dv); |
|
|
1038 |
|
|
1039 for (int i = 0; i < nel; i++) |
|
|
1040 retval (i) = betainc (x, a(i), b); |
|
|
1041 |
|
|
1042 return retval; |
|
|
1043 } |
|
|
1044 |
|
|
1045 NDArray |
|
|
1046 betainc (double x, const NDArray& a, const NDArray& b) |
|
|
1047 { |
|
|
1048 NDArray retval; |
|
|
1049 dim_vector dv = a.dims (); |
|
|
1050 |
|
|
1051 if (dv == b.dims ()) |
|
|
1052 { |
|
|
1053 int nel = dv.numel (); |
|
|
1054 |
|
|
1055 retval.resize (dv); |
|
|
1056 |
|
|
1057 for (int i = 0; i < nel; i++) |
|
|
1058 retval (i) = betainc (x, a(i), b(i)); |
|
|
1059 } |
|
|
1060 else |
|
|
1061 gripe_betainc_nonconformant (dim_vector (0), dv, b.dims ()); |
|
|
1062 |
|
|
1063 return retval; |
|
|
1064 } |
|
|
1065 |
|
|
1066 |
|
3146
|
1067 Matrix |
|
|
1068 betainc (const Matrix& x, double a, double b) |
|
|
1069 { |
|
5275
|
1070 octave_idx_type nr = x.rows (); |
|
|
1071 octave_idx_type nc = x.cols (); |
|
3146
|
1072 |
|
|
1073 Matrix retval (nr, nc); |
|
|
1074 |
|
5275
|
1075 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1076 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1077 retval(i,j) = betainc (x(i,j), a, b); |
|
|
1078 |
|
|
1079 return retval; |
|
|
1080 } |
|
|
1081 |
|
|
1082 Matrix |
|
|
1083 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
1084 { |
|
|
1085 Matrix retval; |
|
|
1086 |
|
5275
|
1087 octave_idx_type nr = x.rows (); |
|
|
1088 octave_idx_type nc = x.cols (); |
|
3146
|
1089 |
|
5275
|
1090 octave_idx_type b_nr = b.rows (); |
|
|
1091 octave_idx_type b_nc = b.cols (); |
|
3146
|
1092 |
|
|
1093 if (nr == b_nr && nc == b_nc) |
|
|
1094 { |
|
|
1095 retval.resize (nr, nc); |
|
|
1096 |
|
5275
|
1097 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1098 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1099 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
1100 } |
|
|
1101 else |
|
|
1102 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
1103 |
|
|
1104 return retval; |
|
|
1105 } |
|
|
1106 |
|
|
1107 Matrix |
|
|
1108 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
1109 { |
|
|
1110 Matrix retval; |
|
|
1111 |
|
5275
|
1112 octave_idx_type nr = x.rows (); |
|
|
1113 octave_idx_type nc = x.cols (); |
|
3146
|
1114 |
|
5275
|
1115 octave_idx_type a_nr = a.rows (); |
|
|
1116 octave_idx_type a_nc = a.cols (); |
|
3146
|
1117 |
|
|
1118 if (nr == a_nr && nc == a_nc) |
|
|
1119 { |
|
|
1120 retval.resize (nr, nc); |
|
|
1121 |
|
5275
|
1122 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1123 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1124 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
1125 } |
|
|
1126 else |
|
|
1127 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
1128 |
|
|
1129 return retval; |
|
|
1130 } |
|
|
1131 |
|
|
1132 Matrix |
|
|
1133 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
1134 { |
|
|
1135 Matrix retval; |
|
|
1136 |
|
5275
|
1137 octave_idx_type nr = x.rows (); |
|
|
1138 octave_idx_type nc = x.cols (); |
|
3146
|
1139 |
|
5275
|
1140 octave_idx_type a_nr = a.rows (); |
|
|
1141 octave_idx_type a_nc = a.cols (); |
|
3146
|
1142 |
|
5275
|
1143 octave_idx_type b_nr = b.rows (); |
|
|
1144 octave_idx_type b_nc = b.cols (); |
|
3146
|
1145 |
|
|
1146 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
1147 { |
|
|
1148 retval.resize (nr, nc); |
|
|
1149 |
|
5275
|
1150 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1151 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1152 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
1153 } |
|
|
1154 else |
|
|
1155 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
1156 |
|
|
1157 return retval; |
|
|
1158 } |
|
|
1159 |
|
4844
|
1160 NDArray |
|
|
1161 betainc (const NDArray& x, double a, double b) |
|
|
1162 { |
|
|
1163 dim_vector dv = x.dims (); |
|
|
1164 int nel = dv.numel (); |
|
|
1165 |
|
|
1166 NDArray retval (dv); |
|
|
1167 |
|
|
1168 for (int i = 0; i < nel; i++) |
|
|
1169 retval (i) = betainc (x(i), a, b); |
|
|
1170 |
|
|
1171 return retval; |
|
|
1172 } |
|
|
1173 |
|
|
1174 NDArray |
|
|
1175 betainc (const NDArray& x, double a, const NDArray& b) |
|
|
1176 { |
|
|
1177 NDArray retval; |
|
|
1178 dim_vector dv = x.dims (); |
|
|
1179 |
|
|
1180 if (dv == b.dims ()) |
|
|
1181 { |
|
|
1182 int nel = dv.numel (); |
|
|
1183 |
|
|
1184 retval.resize (dv); |
|
|
1185 |
|
|
1186 for (int i = 0; i < nel; i++) |
|
|
1187 retval (i) = betainc (x(i), a, b(i)); |
|
|
1188 } |
|
|
1189 else |
|
|
1190 gripe_betainc_nonconformant (dv, dim_vector (0), b.dims ()); |
|
|
1191 |
|
|
1192 return retval; |
|
|
1193 } |
|
|
1194 |
|
|
1195 NDArray |
|
|
1196 betainc (const NDArray& x, const NDArray& a, double b) |
|
|
1197 { |
|
|
1198 NDArray retval; |
|
|
1199 dim_vector dv = x.dims (); |
|
|
1200 |
|
|
1201 if (dv == a.dims ()) |
|
|
1202 { |
|
|
1203 int nel = dv.numel (); |
|
|
1204 |
|
|
1205 retval.resize (dv); |
|
|
1206 |
|
|
1207 for (int i = 0; i < nel; i++) |
|
|
1208 retval (i) = betainc (x(i), a(i), b); |
|
|
1209 } |
|
|
1210 else |
|
|
1211 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0)); |
|
|
1212 |
|
|
1213 return retval; |
|
|
1214 } |
|
|
1215 |
|
|
1216 NDArray |
|
|
1217 betainc (const NDArray& x, const NDArray& a, const NDArray& b) |
|
|
1218 { |
|
|
1219 NDArray retval; |
|
|
1220 dim_vector dv = x.dims (); |
|
|
1221 |
|
|
1222 if (dv == a.dims () && dv == b.dims ()) |
|
|
1223 { |
|
|
1224 int nel = dv.numel (); |
|
|
1225 |
|
|
1226 retval.resize (dv); |
|
|
1227 |
|
|
1228 for (int i = 0; i < nel; i++) |
|
|
1229 retval (i) = betainc (x(i), a(i), b(i)); |
|
|
1230 } |
|
|
1231 else |
|
|
1232 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
|
|
1233 |
|
|
1234 return retval; |
|
|
1235 } |
|
|
1236 |
|
3164
|
1237 // XXX FIXME XXX -- there is still room for improvement here... |
|
|
1238 |
|
3146
|
1239 double |
|
4004
|
1240 gammainc (double x, double a, bool& err) |
|
3146
|
1241 { |
|
|
1242 double retval; |
|
3164
|
1243 |
|
4004
|
1244 err = false; |
|
3164
|
1245 |
|
4004
|
1246 if (a < 0.0 || x < 0.0) |
|
|
1247 { |
|
|
1248 (*current_liboctave_error_handler) |
|
|
1249 ("gammainc: A and X must be non-negative"); |
|
|
1250 |
|
|
1251 err = true; |
|
|
1252 } |
|
|
1253 else |
|
5278
|
1254 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval)); |
|
3164
|
1255 |
|
3146
|
1256 return retval; |
|
|
1257 } |
|
|
1258 |
|
|
1259 Matrix |
|
|
1260 gammainc (double x, const Matrix& a) |
|
|
1261 { |
|
5275
|
1262 octave_idx_type nr = a.rows (); |
|
|
1263 octave_idx_type nc = a.cols (); |
|
3146
|
1264 |
|
4004
|
1265 Matrix result (nr, nc); |
|
|
1266 Matrix retval; |
|
|
1267 |
|
|
1268 bool err; |
|
3146
|
1269 |
|
5275
|
1270 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1271 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1272 { |
|
|
1273 result(i,j) = gammainc (x, a(i,j), err); |
|
|
1274 |
|
|
1275 if (err) |
|
|
1276 goto done; |
|
|
1277 } |
|
|
1278 |
|
|
1279 retval = result; |
|
|
1280 |
|
|
1281 done: |
|
3146
|
1282 |
|
|
1283 return retval; |
|
|
1284 } |
|
|
1285 |
|
|
1286 Matrix |
|
|
1287 gammainc (const Matrix& x, double a) |
|
|
1288 { |
|
5275
|
1289 octave_idx_type nr = x.rows (); |
|
|
1290 octave_idx_type nc = x.cols (); |
|
3146
|
1291 |
|
4004
|
1292 Matrix result (nr, nc); |
|
|
1293 Matrix retval; |
|
|
1294 |
|
|
1295 bool err; |
|
3146
|
1296 |
|
5275
|
1297 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1298 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1299 { |
|
|
1300 result(i,j) = gammainc (x(i,j), a, err); |
|
|
1301 |
|
|
1302 if (err) |
|
|
1303 goto done; |
|
|
1304 } |
|
|
1305 |
|
|
1306 retval = result; |
|
|
1307 |
|
|
1308 done: |
|
3146
|
1309 |
|
|
1310 return retval; |
|
|
1311 } |
|
|
1312 |
|
|
1313 Matrix |
|
|
1314 gammainc (const Matrix& x, const Matrix& a) |
|
|
1315 { |
|
4004
|
1316 Matrix result; |
|
3146
|
1317 Matrix retval; |
|
|
1318 |
|
5275
|
1319 octave_idx_type nr = x.rows (); |
|
|
1320 octave_idx_type nc = x.cols (); |
|
3146
|
1321 |
|
5275
|
1322 octave_idx_type a_nr = a.rows (); |
|
|
1323 octave_idx_type a_nc = a.cols (); |
|
3146
|
1324 |
|
|
1325 if (nr == a_nr && nc == a_nc) |
|
|
1326 { |
|
4004
|
1327 result.resize (nr, nc); |
|
|
1328 |
|
|
1329 bool err; |
|
3146
|
1330 |
|
5275
|
1331 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1332 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1333 { |
|
|
1334 result(i,j) = gammainc (x(i,j), a(i,j), err); |
|
|
1335 |
|
|
1336 if (err) |
|
|
1337 goto done; |
|
|
1338 } |
|
|
1339 |
|
|
1340 retval = result; |
|
3146
|
1341 } |
|
|
1342 else |
|
|
1343 (*current_liboctave_error_handler) |
|
|
1344 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
1345 nr, nc, a_nr, a_nc); |
|
|
1346 |
|
4004
|
1347 done: |
|
|
1348 |
|
3146
|
1349 return retval; |
|
|
1350 } |
|
|
1351 |
|
4844
|
1352 NDArray |
|
|
1353 gammainc (double x, const NDArray& a) |
|
|
1354 { |
|
|
1355 dim_vector dv = a.dims (); |
|
|
1356 int nel = dv.numel (); |
|
|
1357 |
|
|
1358 NDArray retval; |
|
|
1359 NDArray result (dv); |
|
|
1360 |
|
|
1361 bool err; |
|
|
1362 |
|
|
1363 for (int i = 0; i < nel; i++) |
|
|
1364 { |
|
|
1365 result (i) = gammainc (x, a(i), err); |
|
|
1366 |
|
|
1367 if (err) |
|
|
1368 goto done; |
|
|
1369 } |
|
|
1370 |
|
|
1371 retval = result; |
|
|
1372 |
|
|
1373 done: |
|
|
1374 |
|
|
1375 return retval; |
|
|
1376 } |
|
|
1377 |
|
|
1378 NDArray |
|
|
1379 gammainc (const NDArray& x, double a) |
|
|
1380 { |
|
|
1381 dim_vector dv = x.dims (); |
|
|
1382 int nel = dv.numel (); |
|
|
1383 |
|
|
1384 NDArray retval; |
|
|
1385 NDArray result (dv); |
|
|
1386 |
|
|
1387 bool err; |
|
|
1388 |
|
|
1389 for (int i = 0; i < nel; i++) |
|
|
1390 { |
|
|
1391 result (i) = gammainc (x(i), a, err); |
|
|
1392 |
|
|
1393 if (err) |
|
|
1394 goto done; |
|
|
1395 } |
|
|
1396 |
|
|
1397 retval = result; |
|
|
1398 |
|
|
1399 done: |
|
|
1400 |
|
|
1401 return retval; |
|
|
1402 } |
|
|
1403 |
|
|
1404 NDArray |
|
|
1405 gammainc (const NDArray& x, const NDArray& a) |
|
|
1406 { |
|
|
1407 dim_vector dv = x.dims (); |
|
|
1408 int nel = dv.numel (); |
|
|
1409 |
|
|
1410 NDArray retval; |
|
|
1411 NDArray result; |
|
|
1412 |
|
|
1413 if (dv == a.dims ()) |
|
|
1414 { |
|
|
1415 result.resize (dv); |
|
|
1416 |
|
|
1417 bool err; |
|
|
1418 |
|
|
1419 for (int i = 0; i < nel; i++) |
|
|
1420 { |
|
|
1421 result (i) = gammainc (x(i), a(i), err); |
|
|
1422 |
|
|
1423 if (err) |
|
|
1424 goto done; |
|
|
1425 } |
|
|
1426 |
|
|
1427 retval = result; |
|
|
1428 } |
|
|
1429 else |
|
|
1430 { |
|
|
1431 std::string x_str = dv.str (); |
|
|
1432 std::string a_str = a.dims ().str (); |
|
|
1433 |
|
|
1434 (*current_liboctave_error_handler) |
|
|
1435 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
|
|
1436 x_str.c_str (), a_str. c_str ()); |
|
|
1437 } |
|
|
1438 |
|
|
1439 done: |
|
|
1440 |
|
|
1441 return retval; |
|
|
1442 } |
|
|
1443 |
|
3146
|
1444 /* |
|
|
1445 ;;; Local Variables: *** |
|
|
1446 ;;; mode: C++ *** |
|
|
1447 ;;; End: *** |
|
|
1448 */ |
