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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 Complex |
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191 zlgamma (double x) |
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192 { |
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193 Complex result; |
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194 |
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195 if (xisnan (x)) |
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196 result = x; |
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197 else if (x > 0) |
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198 result = xlgamma (x); |
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199 else |
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200 { |
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201 double tmp = xgamma (x); |
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202 |
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203 result = tmp < 0 ? std::log (Complex (tmp)) : log (tmp); |
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204 } |
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205 |
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206 return result; |
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207 } |
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208 |
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209 static inline Complex |
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210 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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211 |
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212 static inline Complex |
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213 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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214 |
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215 static inline Complex |
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216 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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217 |
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218 static inline Complex |
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219 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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220 |
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221 static inline Complex |
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222 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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223 |
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224 static inline Complex |
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225 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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226 |
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227 static inline Complex |
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228 bessel_return_value (const Complex& val, octave_idx_type ierr) |
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229 { |
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230 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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231 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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232 |
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233 Complex retval; |
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234 |
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235 switch (ierr) |
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236 { |
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237 case 0: |
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238 case 3: |
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239 retval = val; |
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240 break; |
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241 |
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242 case 2: |
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243 retval = inf_val; |
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244 break; |
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245 |
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246 default: |
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247 retval = nan_val; |
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248 break; |
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249 } |
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250 |
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251 return retval; |
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252 } |
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253 |
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254 static inline bool |
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255 is_integer_value (double x) |
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256 { |
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257 return x == static_cast<double> (static_cast<long> (x)); |
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258 } |
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259 |
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260 static inline Complex |
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261 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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262 { |
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263 Complex retval; |
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264 |
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265 if (alpha >= 0.0) |
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266 { |
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267 double yr = 0.0; |
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268 double yi = 0.0; |
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269 |
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270 octave_idx_type nz; |
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271 |
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272 double zr = z.real (); |
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273 double zi = z.imag (); |
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274 |
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275 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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276 |
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277 if (kode != 2) |
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278 { |
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279 double expz = exp (std::abs (zi)); |
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280 yr *= expz; |
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281 yi *= expz; |
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282 } |
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283 |
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284 if (zi == 0.0 && zr >= 0.0) |
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285 yi = 0.0; |
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286 |
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287 retval = bessel_return_value (Complex (yr, yi), ierr); |
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288 } |
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289 else if (is_integer_value (alpha)) |
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290 { |
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291 // zbesy can overflow as z->0, and cause troubles for generic case below |
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292 alpha = -alpha; |
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293 Complex tmp = zbesj (z, alpha, kode, ierr); |
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294 if ((static_cast <long> (alpha)) & 1) |
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295 tmp = - tmp; |
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296 retval = bessel_return_value (tmp, ierr); |
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297 } |
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298 else |
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299 { |
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300 alpha = -alpha; |
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301 |
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302 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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303 |
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304 if (ierr == 0 || ierr == 3) |
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305 { |
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306 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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307 |
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308 retval = bessel_return_value (tmp, ierr); |
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309 } |
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310 else |
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311 retval = Complex (octave_NaN, octave_NaN); |
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312 } |
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313 |
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314 return retval; |
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315 } |
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316 |
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317 static inline Complex |
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318 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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319 { |
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320 Complex retval; |
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321 |
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322 if (alpha >= 0.0) |
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323 { |
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324 double yr = 0.0; |
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325 double yi = 0.0; |
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326 |
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327 octave_idx_type nz; |
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328 |
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329 double wr, wi; |
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330 |
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331 double zr = z.real (); |
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332 double zi = z.imag (); |
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333 |
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334 ierr = 0; |
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335 |
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336 if (zr == 0.0 && zi == 0.0) |
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337 { |
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338 yr = -octave_Inf; |
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339 yi = 0.0; |
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340 } |
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341 else |
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342 { |
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343 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
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344 &wr, &wi, ierr); |
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345 |
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346 if (kode != 2) |
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347 { |
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348 double expz = exp (std::abs (zi)); |
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349 yr *= expz; |
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350 yi *= expz; |
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351 } |
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352 |
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353 if (zi == 0.0 && zr >= 0.0) |
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354 yi = 0.0; |
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355 } |
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356 |
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357 return bessel_return_value (Complex (yr, yi), ierr); |
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358 } |
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359 else if (is_integer_value (alpha - 0.5)) |
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360 { |
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361 // zbesy can overflow as z->0, and cause troubles for generic case below |
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362 alpha = -alpha; |
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363 Complex tmp = zbesj (z, alpha, kode, ierr); |
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364 if ((static_cast <long> (alpha - 0.5)) & 1) |
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365 tmp = - tmp; |
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366 retval = bessel_return_value (tmp, ierr); |
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367 } |
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368 else |
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369 { |
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370 alpha = -alpha; |
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371 |
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372 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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373 |
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374 if (ierr == 0 || ierr == 3) |
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375 { |
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376 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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377 |
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378 retval = bessel_return_value (tmp, ierr); |
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379 } |
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380 else |
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381 retval = Complex (octave_NaN, octave_NaN); |
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382 } |
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383 |
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384 return retval; |
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385 } |
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386 |
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387 static inline Complex |
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388 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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389 { |
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390 Complex retval; |
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391 |
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392 if (alpha >= 0.0) |
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393 { |
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394 double yr = 0.0; |
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395 double yi = 0.0; |
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396 |
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397 octave_idx_type nz; |
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398 |
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399 double zr = z.real (); |
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400 double zi = z.imag (); |
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401 |
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402 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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403 |
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404 if (kode != 2) |
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405 { |
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406 double expz = exp (std::abs (zr)); |
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407 yr *= expz; |
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408 yi *= expz; |
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409 } |
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410 |
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411 if (zi == 0.0 && zr >= 0.0) |
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412 yi = 0.0; |
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413 |
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414 retval = bessel_return_value (Complex (yr, yi), ierr); |
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415 } |
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416 else |
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417 { |
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418 alpha = -alpha; |
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419 |
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420 Complex tmp = zbesi (z, alpha, kode, ierr); |
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421 |
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422 if (ierr == 0 || ierr == 3) |
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423 { |
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4911
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424 if (! is_integer_value (alpha - 0.5)) |
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425 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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426 * zbesk (z, alpha, kode, ierr); |
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427 |
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428 retval = bessel_return_value (tmp, ierr); |
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429 } |
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430 else |
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431 retval = Complex (octave_NaN, octave_NaN); |
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432 } |
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433 |
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434 return retval; |
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435 } |
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436 |
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437 static inline Complex |
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5275
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438 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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3220
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439 { |
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440 Complex retval; |
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441 |
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442 if (alpha >= 0.0) |
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443 { |
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444 double yr = 0.0; |
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445 double yi = 0.0; |
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446 |
|
5275
|
447 octave_idx_type nz; |
|
3220
|
448 |
|
|
449 double zr = z.real (); |
|
|
450 double zi = z.imag (); |
|
|
451 |
|
|
452 ierr = 0; |
|
|
453 |
|
|
454 if (zr == 0.0 && zi == 0.0) |
|
|
455 { |
|
|
456 yr = octave_Inf; |
|
|
457 yi = 0.0; |
|
|
458 } |
|
|
459 else |
|
|
460 { |
|
4506
|
461 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
|
|
462 |
|
|
463 if (kode != 2) |
|
|
464 { |
|
|
465 Complex expz = exp (-z); |
|
|
466 |
|
|
467 double rexpz = real (expz); |
|
|
468 double iexpz = imag (expz); |
|
|
469 |
|
|
470 double tmp = yr*rexpz - yi*iexpz; |
|
|
471 |
|
|
472 yi = yr*iexpz + yi*rexpz; |
|
|
473 yr = tmp; |
|
|
474 } |
|
3220
|
475 |
|
4490
|
476 if (zi == 0.0 && zr >= 0.0) |
|
3220
|
477 yi = 0.0; |
|
|
478 } |
|
|
479 |
|
|
480 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
481 } |
|
|
482 else |
|
|
483 { |
|
|
484 Complex tmp = zbesk (z, -alpha, kode, ierr); |
|
|
485 |
|
|
486 retval = bessel_return_value (tmp, ierr); |
|
|
487 } |
|
3146
|
488 |
|
|
489 return retval; |
|
|
490 } |
|
|
491 |
|
3220
|
492 static inline Complex |
|
5275
|
493 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3146
|
494 { |
|
3220
|
495 Complex retval; |
|
3146
|
496 |
|
3220
|
497 if (alpha >= 0.0) |
|
3146
|
498 { |
|
3220
|
499 double yr = 0.0; |
|
|
500 double yi = 0.0; |
|
|
501 |
|
5275
|
502 octave_idx_type nz; |
|
3220
|
503 |
|
|
504 double zr = z.real (); |
|
|
505 double zi = z.imag (); |
|
3146
|
506 |
|
4506
|
507 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
|
|
508 |
|
|
509 if (kode != 2) |
|
|
510 { |
|
|
511 Complex expz = exp (Complex (0.0, 1.0) * z); |
|
|
512 |
|
|
513 double rexpz = real (expz); |
|
|
514 double iexpz = imag (expz); |
|
|
515 |
|
|
516 double tmp = yr*rexpz - yi*iexpz; |
|
|
517 |
|
|
518 yi = yr*iexpz + yi*rexpz; |
|
|
519 yr = tmp; |
|
|
520 } |
|
3146
|
521 |
|
3220
|
522 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
523 } |
|
|
524 else |
|
|
525 { |
|
|
526 alpha = -alpha; |
|
|
527 |
|
|
528 static const Complex eye = Complex (0.0, 1.0); |
|
3146
|
529 |
|
3220
|
530 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
|
3146
|
531 |
|
3220
|
532 retval = bessel_return_value (tmp, ierr); |
|
|
533 } |
|
3146
|
534 |
|
3220
|
535 return retval; |
|
|
536 } |
|
3146
|
537 |
|
3220
|
538 static inline Complex |
|
5275
|
539 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3220
|
540 { |
|
|
541 Complex retval; |
|
3146
|
542 |
|
3220
|
543 if (alpha >= 0.0) |
|
|
544 { |
|
|
545 double yr = 0.0; |
|
|
546 double yi = 0.0; |
|
|
547 |
|
5275
|
548 octave_idx_type nz; |
|
3146
|
549 |
|
3220
|
550 double zr = z.real (); |
|
|
551 double zi = z.imag (); |
|
3146
|
552 |
|
4506
|
553 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
|
|
554 |
|
|
555 if (kode != 2) |
|
|
556 { |
|
|
557 Complex expz = exp (-Complex (0.0, 1.0) * z); |
|
|
558 |
|
|
559 double rexpz = real (expz); |
|
|
560 double iexpz = imag (expz); |
|
|
561 |
|
|
562 double tmp = yr*rexpz - yi*iexpz; |
|
|
563 |
|
|
564 yi = yr*iexpz + yi*rexpz; |
|
|
565 yr = tmp; |
|
|
566 } |
|
3220
|
567 |
|
|
568 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
3146
|
569 } |
|
|
570 else |
|
3220
|
571 { |
|
|
572 alpha = -alpha; |
|
|
573 |
|
|
574 static const Complex eye = Complex (0.0, 1.0); |
|
|
575 |
|
|
576 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
|
|
577 |
|
|
578 retval = bessel_return_value (tmp, ierr); |
|
|
579 } |
|
|
580 |
|
|
581 return retval; |
|
|
582 } |
|
|
583 |
|
5275
|
584 typedef Complex (*fptr) (const Complex&, double, int, octave_idx_type&); |
|
3220
|
585 |
|
|
586 static inline Complex |
|
|
587 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
|
5275
|
588 bool scaled, octave_idx_type& ierr) |
|
3220
|
589 { |
|
|
590 Complex retval; |
|
|
591 |
|
|
592 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
|
|
593 |
|
|
594 return retval; |
|
|
595 } |
|
|
596 |
|
|
597 static inline ComplexMatrix |
|
|
598 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
|
5275
|
599 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
600 { |
|
5275
|
601 octave_idx_type nr = x.rows (); |
|
|
602 octave_idx_type nc = x.cols (); |
|
3220
|
603 |
|
|
604 ComplexMatrix retval (nr, nc); |
|
|
605 |
|
|
606 ierr.resize (nr, nc); |
|
|
607 |
|
5275
|
608 for (octave_idx_type j = 0; j < nc; j++) |
|
|
609 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
610 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
611 |
|
|
612 return retval; |
|
|
613 } |
|
|
614 |
|
|
615 static inline ComplexMatrix |
|
|
616 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
5275
|
617 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
618 { |
|
5275
|
619 octave_idx_type nr = alpha.rows (); |
|
|
620 octave_idx_type nc = alpha.cols (); |
|
3220
|
621 |
|
|
622 ComplexMatrix retval (nr, nc); |
|
|
623 |
|
|
624 ierr.resize (nr, nc); |
|
|
625 |
|
5275
|
626 for (octave_idx_type j = 0; j < nc; j++) |
|
|
627 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
628 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
629 |
|
|
630 return retval; |
|
|
631 } |
|
|
632 |
|
3220
|
633 static inline ComplexMatrix |
|
|
634 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
5275
|
635 const ComplexMatrix& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
636 { |
|
3220
|
637 ComplexMatrix retval; |
|
|
638 |
|
5275
|
639 octave_idx_type x_nr = x.rows (); |
|
|
640 octave_idx_type x_nc = x.cols (); |
|
3220
|
641 |
|
5275
|
642 octave_idx_type alpha_nr = alpha.rows (); |
|
|
643 octave_idx_type alpha_nc = alpha.cols (); |
|
3220
|
644 |
|
|
645 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
646 { |
|
5275
|
647 octave_idx_type nr = x_nr; |
|
|
648 octave_idx_type nc = x_nc; |
|
3220
|
649 |
|
|
650 retval.resize (nr, nc); |
|
|
651 |
|
|
652 ierr.resize (nr, nc); |
|
|
653 |
|
5275
|
654 for (octave_idx_type j = 0; j < nc; j++) |
|
|
655 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
656 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
657 } |
|
|
658 else |
|
|
659 (*current_liboctave_error_handler) |
|
|
660 ("%s: the sizes of alpha and x must conform", fn); |
|
|
661 |
|
|
662 return retval; |
|
3146
|
663 } |
|
|
664 |
|
4844
|
665 static inline ComplexNDArray |
|
|
666 do_bessel (fptr f, const char *, double alpha, const ComplexNDArray& x, |
|
5275
|
667 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
668 { |
|
|
669 dim_vector dv = x.dims (); |
|
5275
|
670 octave_idx_type nel = dv.numel (); |
|
4844
|
671 ComplexNDArray retval (dv); |
|
|
672 |
|
|
673 ierr.resize (dv); |
|
|
674 |
|
5275
|
675 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
676 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
|
|
677 |
|
|
678 return retval; |
|
|
679 } |
|
|
680 |
|
|
681 static inline ComplexNDArray |
|
|
682 do_bessel (fptr f, const char *, const NDArray& alpha, const Complex& x, |
|
5275
|
683 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
684 { |
|
|
685 dim_vector dv = alpha.dims (); |
|
5275
|
686 octave_idx_type nel = dv.numel (); |
|
4844
|
687 ComplexNDArray retval (dv); |
|
|
688 |
|
|
689 ierr.resize (dv); |
|
|
690 |
|
5275
|
691 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
692 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
693 |
|
|
694 return retval; |
|
|
695 } |
|
|
696 |
|
|
697 static inline ComplexNDArray |
|
|
698 do_bessel (fptr f, const char *fn, const NDArray& alpha, |
|
5275
|
699 const ComplexNDArray& x, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
700 { |
|
|
701 dim_vector dv = x.dims (); |
|
|
702 ComplexNDArray retval; |
|
|
703 |
|
|
704 if (dv == alpha.dims ()) |
|
|
705 { |
|
5275
|
706 octave_idx_type nel = dv.numel (); |
|
4844
|
707 |
|
|
708 retval.resize (dv); |
|
|
709 ierr.resize (dv); |
|
|
710 |
|
5275
|
711 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
712 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
713 } |
|
|
714 else |
|
|
715 (*current_liboctave_error_handler) |
|
|
716 ("%s: the sizes of alpha and x must conform", fn); |
|
|
717 |
|
|
718 return retval; |
|
|
719 } |
|
|
720 |
|
3220
|
721 static inline ComplexMatrix |
|
|
722 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
5275
|
723 const ComplexColumnVector& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
724 { |
|
5275
|
725 octave_idx_type nr = x.length (); |
|
|
726 octave_idx_type nc = alpha.length (); |
|
3220
|
727 |
|
|
728 ComplexMatrix retval (nr, nc); |
|
3146
|
729 |
|
3220
|
730 ierr.resize (nr, nc); |
|
|
731 |
|
5275
|
732 for (octave_idx_type j = 0; j < nc; j++) |
|
|
733 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
734 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
735 |
|
|
736 return retval; |
|
3146
|
737 } |
|
|
738 |
|
3220
|
739 #define SS_BESSEL(name, fcn) \ |
|
|
740 Complex \ |
|
5275
|
741 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \ |
|
3220
|
742 { \ |
|
|
743 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
744 } |
|
|
745 |
|
|
746 #define SM_BESSEL(name, fcn) \ |
|
|
747 ComplexMatrix \ |
|
|
748 name (double alpha, const ComplexMatrix& x, bool scaled, \ |
|
5275
|
749 Array2<octave_idx_type>& ierr) \ |
|
3220
|
750 { \ |
|
|
751 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
752 } |
|
|
753 |
|
|
754 #define MS_BESSEL(name, fcn) \ |
|
|
755 ComplexMatrix \ |
|
|
756 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
5275
|
757 Array2<octave_idx_type>& ierr) \ |
|
3220
|
758 { \ |
|
|
759 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
760 } |
|
|
761 |
|
|
762 #define MM_BESSEL(name, fcn) \ |
|
|
763 ComplexMatrix \ |
|
|
764 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
5275
|
765 Array2<octave_idx_type>& ierr) \ |
|
3220
|
766 { \ |
|
|
767 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
768 } |
|
|
769 |
|
4844
|
770 #define SN_BESSEL(name, fcn) \ |
|
|
771 ComplexNDArray \ |
|
|
772 name (double alpha, const ComplexNDArray& x, bool scaled, \ |
|
5275
|
773 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
774 { \ |
|
|
775 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
776 } |
|
|
777 |
|
|
778 #define NS_BESSEL(name, fcn) \ |
|
|
779 ComplexNDArray \ |
|
|
780 name (const NDArray& alpha, const Complex& x, bool scaled, \ |
|
5275
|
781 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
782 { \ |
|
|
783 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
784 } |
|
|
785 |
|
|
786 #define NN_BESSEL(name, fcn) \ |
|
|
787 ComplexNDArray \ |
|
|
788 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \ |
|
5275
|
789 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
790 { \ |
|
|
791 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
792 } |
|
|
793 |
|
3220
|
794 #define RC_BESSEL(name, fcn) \ |
|
|
795 ComplexMatrix \ |
|
|
796 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
5275
|
797 Array2<octave_idx_type>& ierr) \ |
|
3220
|
798 { \ |
|
|
799 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
800 } |
|
|
801 |
|
|
802 #define ALL_BESSEL(name, fcn) \ |
|
|
803 SS_BESSEL (name, fcn) \ |
|
|
804 SM_BESSEL (name, fcn) \ |
|
|
805 MS_BESSEL (name, fcn) \ |
|
|
806 MM_BESSEL (name, fcn) \ |
|
4844
|
807 SN_BESSEL (name, fcn) \ |
|
|
808 NS_BESSEL (name, fcn) \ |
|
|
809 NN_BESSEL (name, fcn) \ |
|
3220
|
810 RC_BESSEL (name, fcn) |
|
|
811 |
|
|
812 ALL_BESSEL (besselj, zbesj) |
|
|
813 ALL_BESSEL (bessely, zbesy) |
|
|
814 ALL_BESSEL (besseli, zbesi) |
|
|
815 ALL_BESSEL (besselk, zbesk) |
|
|
816 ALL_BESSEL (besselh1, zbesh1) |
|
|
817 ALL_BESSEL (besselh2, zbesh2) |
|
|
818 |
|
|
819 Complex |
|
5275
|
820 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
821 { |
|
3220
|
822 double ar = 0.0; |
|
|
823 double ai = 0.0; |
|
|
824 |
|
5275
|
825 octave_idx_type nz; |
|
3220
|
826 |
|
|
827 double zr = z.real (); |
|
|
828 double zi = z.imag (); |
|
3146
|
829 |
|
5275
|
830 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
831 |
|
4506
|
832 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
|
|
833 |
|
|
834 if (! scaled) |
|
|
835 { |
|
|
836 Complex expz = exp (- 2.0 / 3.0 * z * sqrt(z)); |
|
3220
|
837 |
|
4506
|
838 double rexpz = real (expz); |
|
|
839 double iexpz = imag (expz); |
|
|
840 |
|
|
841 double tmp = ar*rexpz - ai*iexpz; |
|
|
842 |
|
|
843 ai = ar*iexpz + ai*rexpz; |
|
|
844 ar = tmp; |
|
|
845 } |
|
3220
|
846 |
|
4490
|
847 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
848 ai = 0.0; |
|
|
849 |
|
3220
|
850 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
851 } |
|
|
852 |
|
3220
|
853 Complex |
|
5275
|
854 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
855 { |
|
3220
|
856 double ar = 0.0; |
|
|
857 double ai = 0.0; |
|
|
858 |
|
|
859 double zr = z.real (); |
|
|
860 double zi = z.imag (); |
|
|
861 |
|
5275
|
862 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
863 |
|
4506
|
864 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
|
|
865 |
|
|
866 if (! scaled) |
|
|
867 { |
|
|
868 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); |
|
3220
|
869 |
|
4506
|
870 double rexpz = real (expz); |
|
|
871 double iexpz = imag (expz); |
|
|
872 |
|
|
873 double tmp = ar*rexpz - ai*iexpz; |
|
|
874 |
|
|
875 ai = ar*iexpz + ai*rexpz; |
|
|
876 ar = tmp; |
|
|
877 } |
|
3220
|
878 |
|
4490
|
879 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
880 ai = 0.0; |
|
|
881 |
|
3220
|
882 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
883 } |
|
|
884 |
|
3220
|
885 ComplexMatrix |
|
5275
|
886 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
887 { |
|
5275
|
888 octave_idx_type nr = z.rows (); |
|
|
889 octave_idx_type nc = z.cols (); |
|
3220
|
890 |
|
|
891 ComplexMatrix retval (nr, nc); |
|
|
892 |
|
|
893 ierr.resize (nr, nc); |
|
|
894 |
|
5275
|
895 for (octave_idx_type j = 0; j < nc; j++) |
|
|
896 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
897 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
898 |
|
|
899 return retval; |
|
3146
|
900 } |
|
|
901 |
|
3220
|
902 ComplexMatrix |
|
5275
|
903 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
904 { |
|
5275
|
905 octave_idx_type nr = z.rows (); |
|
|
906 octave_idx_type nc = z.cols (); |
|
3220
|
907 |
|
|
908 ComplexMatrix retval (nr, nc); |
|
|
909 |
|
|
910 ierr.resize (nr, nc); |
|
|
911 |
|
5275
|
912 for (octave_idx_type j = 0; j < nc; j++) |
|
|
913 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
914 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
915 |
|
|
916 return retval; |
|
3146
|
917 } |
|
|
918 |
|
4844
|
919 ComplexNDArray |
|
5275
|
920 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
921 { |
|
|
922 dim_vector dv = z.dims (); |
|
5275
|
923 octave_idx_type nel = dv.numel (); |
|
4844
|
924 ComplexNDArray retval (dv); |
|
|
925 |
|
|
926 ierr.resize (dv); |
|
|
927 |
|
5275
|
928 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
929 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
|
|
930 |
|
|
931 return retval; |
|
|
932 } |
|
|
933 |
|
|
934 ComplexNDArray |
|
5275
|
935 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
936 { |
|
|
937 dim_vector dv = z.dims (); |
|
5275
|
938 octave_idx_type nel = dv.numel (); |
|
4844
|
939 ComplexNDArray retval (dv); |
|
|
940 |
|
|
941 ierr.resize (dv); |
|
|
942 |
|
5275
|
943 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
944 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
|
|
945 |
|
|
946 return retval; |
|
|
947 } |
|
|
948 |
|
3146
|
949 static void |
|
5275
|
950 gripe_betainc_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3, |
|
|
951 octave_idx_type c3) |
|
3146
|
952 { |
|
|
953 (*current_liboctave_error_handler) |
|
|
954 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
955 r1, c1, r2, c2, r3, c3); |
|
|
956 } |
|
|
957 |
|
4844
|
958 static dim_vector null_dims (0); |
|
|
959 |
|
|
960 static void |
|
|
961 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2, |
|
|
962 const dim_vector& d3) |
|
|
963 { |
|
|
964 std::string d1_str = d1.str (); |
|
|
965 std::string d2_str = d2.str (); |
|
|
966 std::string d3_str = d3.str (); |
|
|
967 |
|
|
968 (*current_liboctave_error_handler) |
|
|
969 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", |
|
|
970 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); |
|
|
971 } |
|
|
972 |
|
3146
|
973 double |
|
|
974 betainc (double x, double a, double b) |
|
|
975 { |
|
|
976 double retval; |
|
5700
|
977 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
|
3146
|
978 return retval; |
|
|
979 } |
|
|
980 |
|
|
981 Matrix |
|
|
982 betainc (double x, double a, const Matrix& b) |
|
|
983 { |
|
5275
|
984 octave_idx_type nr = b.rows (); |
|
|
985 octave_idx_type nc = b.cols (); |
|
3146
|
986 |
|
|
987 Matrix retval (nr, nc); |
|
|
988 |
|
5275
|
989 for (octave_idx_type j = 0; j < nc; j++) |
|
|
990 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
991 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
992 |
|
|
993 return retval; |
|
|
994 } |
|
|
995 |
|
|
996 Matrix |
|
|
997 betainc (double x, const Matrix& a, double b) |
|
|
998 { |
|
5275
|
999 octave_idx_type nr = a.rows (); |
|
|
1000 octave_idx_type nc = a.cols (); |
|
3146
|
1001 |
|
|
1002 Matrix retval (nr, nc); |
|
|
1003 |
|
5275
|
1004 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1005 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1006 retval(i,j) = betainc (x, a(i,j), b); |
|
|
1007 |
|
|
1008 return retval; |
|
|
1009 } |
|
|
1010 |
|
|
1011 Matrix |
|
|
1012 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
1013 { |
|
|
1014 Matrix retval; |
|
|
1015 |
|
5275
|
1016 octave_idx_type a_nr = a.rows (); |
|
|
1017 octave_idx_type a_nc = a.cols (); |
|
3146
|
1018 |
|
5275
|
1019 octave_idx_type b_nr = b.rows (); |
|
|
1020 octave_idx_type b_nc = b.cols (); |
|
3146
|
1021 |
|
|
1022 if (a_nr == b_nr && a_nc == b_nc) |
|
|
1023 { |
|
|
1024 retval.resize (a_nr, a_nc); |
|
|
1025 |
|
5275
|
1026 for (octave_idx_type j = 0; j < a_nc; j++) |
|
|
1027 for (octave_idx_type i = 0; i < a_nr; i++) |
|
3146
|
1028 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
1029 } |
|
|
1030 else |
|
|
1031 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
1032 |
|
|
1033 return retval; |
|
|
1034 } |
|
|
1035 |
|
4844
|
1036 NDArray |
|
|
1037 betainc (double x, double a, const NDArray& b) |
|
|
1038 { |
|
|
1039 dim_vector dv = b.dims (); |
|
|
1040 int nel = dv.numel (); |
|
|
1041 |
|
|
1042 NDArray retval (dv); |
|
|
1043 |
|
|
1044 for (int i = 0; i < nel; i++) |
|
|
1045 retval (i) = betainc (x, a, b(i)); |
|
|
1046 |
|
|
1047 return retval; |
|
|
1048 } |
|
|
1049 |
|
|
1050 NDArray |
|
|
1051 betainc (double x, const NDArray& a, double b) |
|
|
1052 { |
|
|
1053 dim_vector dv = a.dims (); |
|
|
1054 int nel = dv.numel (); |
|
|
1055 |
|
|
1056 NDArray retval (dv); |
|
|
1057 |
|
|
1058 for (int i = 0; i < nel; i++) |
|
|
1059 retval (i) = betainc (x, a(i), b); |
|
|
1060 |
|
|
1061 return retval; |
|
|
1062 } |
|
|
1063 |
|
|
1064 NDArray |
|
|
1065 betainc (double x, const NDArray& a, const NDArray& b) |
|
|
1066 { |
|
|
1067 NDArray retval; |
|
|
1068 dim_vector dv = a.dims (); |
|
|
1069 |
|
|
1070 if (dv == b.dims ()) |
|
|
1071 { |
|
|
1072 int nel = dv.numel (); |
|
|
1073 |
|
|
1074 retval.resize (dv); |
|
|
1075 |
|
|
1076 for (int i = 0; i < nel; i++) |
|
|
1077 retval (i) = betainc (x, a(i), b(i)); |
|
|
1078 } |
|
|
1079 else |
|
|
1080 gripe_betainc_nonconformant (dim_vector (0), dv, b.dims ()); |
|
|
1081 |
|
|
1082 return retval; |
|
|
1083 } |
|
|
1084 |
|
|
1085 |
|
3146
|
1086 Matrix |
|
|
1087 betainc (const Matrix& x, double a, double b) |
|
|
1088 { |
|
5275
|
1089 octave_idx_type nr = x.rows (); |
|
|
1090 octave_idx_type nc = x.cols (); |
|
3146
|
1091 |
|
|
1092 Matrix retval (nr, nc); |
|
|
1093 |
|
5275
|
1094 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1095 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1096 retval(i,j) = betainc (x(i,j), a, b); |
|
|
1097 |
|
|
1098 return retval; |
|
|
1099 } |
|
|
1100 |
|
|
1101 Matrix |
|
|
1102 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
1103 { |
|
|
1104 Matrix retval; |
|
|
1105 |
|
5275
|
1106 octave_idx_type nr = x.rows (); |
|
|
1107 octave_idx_type nc = x.cols (); |
|
3146
|
1108 |
|
5275
|
1109 octave_idx_type b_nr = b.rows (); |
|
|
1110 octave_idx_type b_nc = b.cols (); |
|
3146
|
1111 |
|
|
1112 if (nr == b_nr && nc == b_nc) |
|
|
1113 { |
|
|
1114 retval.resize (nr, nc); |
|
|
1115 |
|
5275
|
1116 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1117 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1118 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
1119 } |
|
|
1120 else |
|
|
1121 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
1122 |
|
|
1123 return retval; |
|
|
1124 } |
|
|
1125 |
|
|
1126 Matrix |
|
|
1127 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
1128 { |
|
|
1129 Matrix retval; |
|
|
1130 |
|
5275
|
1131 octave_idx_type nr = x.rows (); |
|
|
1132 octave_idx_type nc = x.cols (); |
|
3146
|
1133 |
|
5275
|
1134 octave_idx_type a_nr = a.rows (); |
|
|
1135 octave_idx_type a_nc = a.cols (); |
|
3146
|
1136 |
|
|
1137 if (nr == a_nr && nc == a_nc) |
|
|
1138 { |
|
|
1139 retval.resize (nr, nc); |
|
|
1140 |
|
5275
|
1141 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1142 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1143 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
1144 } |
|
|
1145 else |
|
|
1146 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
1147 |
|
|
1148 return retval; |
|
|
1149 } |
|
|
1150 |
|
|
1151 Matrix |
|
|
1152 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
1153 { |
|
|
1154 Matrix retval; |
|
|
1155 |
|
5275
|
1156 octave_idx_type nr = x.rows (); |
|
|
1157 octave_idx_type nc = x.cols (); |
|
3146
|
1158 |
|
5275
|
1159 octave_idx_type a_nr = a.rows (); |
|
|
1160 octave_idx_type a_nc = a.cols (); |
|
3146
|
1161 |
|
5275
|
1162 octave_idx_type b_nr = b.rows (); |
|
|
1163 octave_idx_type b_nc = b.cols (); |
|
3146
|
1164 |
|
|
1165 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
1166 { |
|
|
1167 retval.resize (nr, nc); |
|
|
1168 |
|
5275
|
1169 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1170 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1171 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
1172 } |
|
|
1173 else |
|
|
1174 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
1175 |
|
|
1176 return retval; |
|
|
1177 } |
|
|
1178 |
|
4844
|
1179 NDArray |
|
|
1180 betainc (const NDArray& x, double a, double b) |
|
|
1181 { |
|
|
1182 dim_vector dv = x.dims (); |
|
|
1183 int nel = dv.numel (); |
|
|
1184 |
|
|
1185 NDArray retval (dv); |
|
|
1186 |
|
|
1187 for (int i = 0; i < nel; i++) |
|
|
1188 retval (i) = betainc (x(i), a, b); |
|
|
1189 |
|
|
1190 return retval; |
|
|
1191 } |
|
|
1192 |
|
|
1193 NDArray |
|
|
1194 betainc (const NDArray& x, double a, const NDArray& b) |
|
|
1195 { |
|
|
1196 NDArray retval; |
|
|
1197 dim_vector dv = x.dims (); |
|
|
1198 |
|
|
1199 if (dv == b.dims ()) |
|
|
1200 { |
|
|
1201 int nel = dv.numel (); |
|
|
1202 |
|
|
1203 retval.resize (dv); |
|
|
1204 |
|
|
1205 for (int i = 0; i < nel; i++) |
|
|
1206 retval (i) = betainc (x(i), a, b(i)); |
|
|
1207 } |
|
|
1208 else |
|
|
1209 gripe_betainc_nonconformant (dv, dim_vector (0), b.dims ()); |
|
|
1210 |
|
|
1211 return retval; |
|
|
1212 } |
|
|
1213 |
|
|
1214 NDArray |
|
|
1215 betainc (const NDArray& x, const NDArray& a, double b) |
|
|
1216 { |
|
|
1217 NDArray retval; |
|
|
1218 dim_vector dv = x.dims (); |
|
|
1219 |
|
|
1220 if (dv == a.dims ()) |
|
|
1221 { |
|
|
1222 int nel = dv.numel (); |
|
|
1223 |
|
|
1224 retval.resize (dv); |
|
|
1225 |
|
|
1226 for (int i = 0; i < nel; i++) |
|
|
1227 retval (i) = betainc (x(i), a(i), b); |
|
|
1228 } |
|
|
1229 else |
|
|
1230 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0)); |
|
|
1231 |
|
|
1232 return retval; |
|
|
1233 } |
|
|
1234 |
|
|
1235 NDArray |
|
|
1236 betainc (const NDArray& x, const NDArray& a, const NDArray& b) |
|
|
1237 { |
|
|
1238 NDArray retval; |
|
|
1239 dim_vector dv = x.dims (); |
|
|
1240 |
|
|
1241 if (dv == a.dims () && dv == b.dims ()) |
|
|
1242 { |
|
|
1243 int nel = dv.numel (); |
|
|
1244 |
|
|
1245 retval.resize (dv); |
|
|
1246 |
|
|
1247 for (int i = 0; i < nel; i++) |
|
|
1248 retval (i) = betainc (x(i), a(i), b(i)); |
|
|
1249 } |
|
|
1250 else |
|
|
1251 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
|
|
1252 |
|
|
1253 return retval; |
|
|
1254 } |
|
|
1255 |
|
5775
|
1256 // FIXME -- there is still room for improvement here... |
|
3164
|
1257 |
|
3146
|
1258 double |
|
4004
|
1259 gammainc (double x, double a, bool& err) |
|
3146
|
1260 { |
|
|
1261 double retval; |
|
3164
|
1262 |
|
4004
|
1263 err = false; |
|
3164
|
1264 |
|
4004
|
1265 if (a < 0.0 || x < 0.0) |
|
|
1266 { |
|
|
1267 (*current_liboctave_error_handler) |
|
|
1268 ("gammainc: A and X must be non-negative"); |
|
|
1269 |
|
|
1270 err = true; |
|
|
1271 } |
|
|
1272 else |
|
5278
|
1273 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval)); |
|
3164
|
1274 |
|
3146
|
1275 return retval; |
|
|
1276 } |
|
|
1277 |
|
|
1278 Matrix |
|
|
1279 gammainc (double x, const Matrix& a) |
|
|
1280 { |
|
5275
|
1281 octave_idx_type nr = a.rows (); |
|
|
1282 octave_idx_type nc = a.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, a(i,j), 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, double a) |
|
|
1307 { |
|
5275
|
1308 octave_idx_type nr = x.rows (); |
|
|
1309 octave_idx_type nc = x.cols (); |
|
3146
|
1310 |
|
4004
|
1311 Matrix result (nr, nc); |
|
|
1312 Matrix retval; |
|
|
1313 |
|
|
1314 bool err; |
|
3146
|
1315 |
|
5275
|
1316 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1317 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1318 { |
|
|
1319 result(i,j) = gammainc (x(i,j), a, err); |
|
|
1320 |
|
|
1321 if (err) |
|
|
1322 goto done; |
|
|
1323 } |
|
|
1324 |
|
|
1325 retval = result; |
|
|
1326 |
|
|
1327 done: |
|
3146
|
1328 |
|
|
1329 return retval; |
|
|
1330 } |
|
|
1331 |
|
|
1332 Matrix |
|
|
1333 gammainc (const Matrix& x, const Matrix& a) |
|
|
1334 { |
|
4004
|
1335 Matrix result; |
|
3146
|
1336 Matrix retval; |
|
|
1337 |
|
5275
|
1338 octave_idx_type nr = x.rows (); |
|
|
1339 octave_idx_type nc = x.cols (); |
|
3146
|
1340 |
|
5275
|
1341 octave_idx_type a_nr = a.rows (); |
|
|
1342 octave_idx_type a_nc = a.cols (); |
|
3146
|
1343 |
|
|
1344 if (nr == a_nr && nc == a_nc) |
|
|
1345 { |
|
4004
|
1346 result.resize (nr, nc); |
|
|
1347 |
|
|
1348 bool err; |
|
3146
|
1349 |
|
5275
|
1350 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1351 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1352 { |
|
|
1353 result(i,j) = gammainc (x(i,j), a(i,j), err); |
|
|
1354 |
|
|
1355 if (err) |
|
|
1356 goto done; |
|
|
1357 } |
|
|
1358 |
|
|
1359 retval = result; |
|
3146
|
1360 } |
|
|
1361 else |
|
|
1362 (*current_liboctave_error_handler) |
|
|
1363 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
1364 nr, nc, a_nr, a_nc); |
|
|
1365 |
|
4004
|
1366 done: |
|
|
1367 |
|
3146
|
1368 return retval; |
|
|
1369 } |
|
|
1370 |
|
4844
|
1371 NDArray |
|
|
1372 gammainc (double x, const NDArray& a) |
|
|
1373 { |
|
|
1374 dim_vector dv = a.dims (); |
|
|
1375 int nel = dv.numel (); |
|
|
1376 |
|
|
1377 NDArray retval; |
|
|
1378 NDArray result (dv); |
|
|
1379 |
|
|
1380 bool err; |
|
|
1381 |
|
|
1382 for (int i = 0; i < nel; i++) |
|
|
1383 { |
|
|
1384 result (i) = gammainc (x, a(i), err); |
|
|
1385 |
|
|
1386 if (err) |
|
|
1387 goto done; |
|
|
1388 } |
|
|
1389 |
|
|
1390 retval = result; |
|
|
1391 |
|
|
1392 done: |
|
|
1393 |
|
|
1394 return retval; |
|
|
1395 } |
|
|
1396 |
|
|
1397 NDArray |
|
|
1398 gammainc (const NDArray& x, double a) |
|
|
1399 { |
|
|
1400 dim_vector dv = x.dims (); |
|
|
1401 int nel = dv.numel (); |
|
|
1402 |
|
|
1403 NDArray retval; |
|
|
1404 NDArray result (dv); |
|
|
1405 |
|
|
1406 bool err; |
|
|
1407 |
|
|
1408 for (int i = 0; i < nel; i++) |
|
|
1409 { |
|
|
1410 result (i) = gammainc (x(i), a, err); |
|
|
1411 |
|
|
1412 if (err) |
|
|
1413 goto done; |
|
|
1414 } |
|
|
1415 |
|
|
1416 retval = result; |
|
|
1417 |
|
|
1418 done: |
|
|
1419 |
|
|
1420 return retval; |
|
|
1421 } |
|
|
1422 |
|
|
1423 NDArray |
|
|
1424 gammainc (const NDArray& x, const NDArray& a) |
|
|
1425 { |
|
|
1426 dim_vector dv = x.dims (); |
|
|
1427 int nel = dv.numel (); |
|
|
1428 |
|
|
1429 NDArray retval; |
|
|
1430 NDArray result; |
|
|
1431 |
|
|
1432 if (dv == a.dims ()) |
|
|
1433 { |
|
|
1434 result.resize (dv); |
|
|
1435 |
|
|
1436 bool err; |
|
|
1437 |
|
|
1438 for (int i = 0; i < nel; i++) |
|
|
1439 { |
|
|
1440 result (i) = gammainc (x(i), a(i), err); |
|
|
1441 |
|
|
1442 if (err) |
|
|
1443 goto done; |
|
|
1444 } |
|
|
1445 |
|
|
1446 retval = result; |
|
|
1447 } |
|
|
1448 else |
|
|
1449 { |
|
|
1450 std::string x_str = dv.str (); |
|
|
1451 std::string a_str = a.dims ().str (); |
|
|
1452 |
|
|
1453 (*current_liboctave_error_handler) |
|
|
1454 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
|
|
1455 x_str.c_str (), a_str. c_str ()); |
|
|
1456 } |
|
|
1457 |
|
|
1458 done: |
|
|
1459 |
|
|
1460 return retval; |
|
|
1461 } |
|
|
1462 |
|
3146
|
1463 /* |
|
|
1464 ;;; Local Variables: *** |
|
|
1465 ;;; mode: C++ *** |
|
|
1466 ;;; End: *** |
|
|
1467 */ |
