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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 3 of the License, or (at your |
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10 option) any 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, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include "Range.h" |
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28 #include "CColVector.h" |
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29 #include "CMatrix.h" |
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30 #include "dRowVector.h" |
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31 #include "dMatrix.h" |
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32 #include "dNDArray.h" |
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33 #include "CNDArray.h" |
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34 #include "f77-fcn.h" |
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35 #include "lo-error.h" |
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36 #include "lo-ieee.h" |
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37 #include "lo-specfun.h" |
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38 #include "mx-inlines.cc" |
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39 #include "lo-mappers.h" |
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40 |
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41 #ifndef M_PI |
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42 #define M_PI 3.14159265358979323846 |
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43 #endif |
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44 |
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45 extern "C" |
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46 { |
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47 F77_RET_T |
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48 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&, |
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49 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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50 octave_idx_type&, octave_idx_type&); |
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51 |
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52 F77_RET_T |
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53 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&, |
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54 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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55 octave_idx_type&, double*, double*, octave_idx_type&); |
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56 |
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57 F77_RET_T |
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58 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&, |
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59 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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60 octave_idx_type&, octave_idx_type&); |
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61 |
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62 F77_RET_T |
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63 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&, |
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64 const octave_idx_type&, const octave_idx_type&, double*, double*, |
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65 octave_idx_type&, octave_idx_type&); |
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66 |
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67 F77_RET_T |
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68 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&, |
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69 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
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70 double*, octave_idx_type&, octave_idx_type&); |
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71 |
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72 F77_RET_T |
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73 F77_FUNC (zairy, ZAIRY) (const double&, const double&, const octave_idx_type&, |
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74 const octave_idx_type&, double&, double&, octave_idx_type&, octave_idx_type&); |
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75 |
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76 F77_RET_T |
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77 F77_FUNC (zbiry, ZBIRY) (const double&, const double&, const octave_idx_type&, |
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78 const octave_idx_type&, double&, double&, octave_idx_type&); |
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79 |
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80 F77_RET_T |
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81 F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
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82 |
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83 F77_RET_T |
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84 F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
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85 |
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86 F77_RET_T |
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87 F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
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88 |
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89 F77_RET_T |
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90 F77_FUNC (xderf, XDERF) (const double&, double&); |
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91 |
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92 F77_RET_T |
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93 F77_FUNC (xderfc, XDERFC) (const double&, double&); |
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94 |
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95 F77_RET_T |
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96 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
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97 const double&, double&); |
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98 |
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99 F77_RET_T |
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100 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
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101 |
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102 F77_RET_T |
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103 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
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104 |
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105 F77_RET_T |
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106 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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107 } |
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108 |
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109 #if !defined (HAVE_ACOSH) |
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110 double |
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111 acosh (double x) |
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112 { |
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113 double retval; |
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114 F77_XFCN (xdacosh, XDACOSH, (x, retval)); |
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115 return retval; |
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116 } |
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117 #endif |
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118 |
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119 #if !defined (HAVE_ASINH) |
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120 double |
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121 asinh (double x) |
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122 { |
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123 double retval; |
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124 F77_XFCN (xdasinh, XDASINH, (x, retval)); |
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125 return retval; |
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126 } |
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127 #endif |
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128 |
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129 #if !defined (HAVE_ATANH) |
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130 double |
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131 atanh (double x) |
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132 { |
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133 double retval; |
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134 F77_XFCN (xdatanh, XDATANH, (x, retval)); |
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135 return retval; |
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136 } |
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137 #endif |
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138 |
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139 #if !defined (HAVE_ERF) |
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140 double |
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141 erf (double x) |
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142 { |
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143 double retval; |
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144 F77_XFCN (xderf, XDERF, (x, retval)); |
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145 return retval; |
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146 } |
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147 #endif |
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148 |
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149 #if !defined (HAVE_ERFC) |
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150 double |
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151 erfc (double x) |
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152 { |
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153 double retval; |
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154 F77_XFCN (xderfc, XDERFC, (x, retval)); |
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155 return retval; |
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156 } |
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157 #endif |
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158 |
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159 double |
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160 xgamma (double x) |
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161 { |
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162 #if defined (HAVE_TGAMMA) |
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163 return tgamma (x); |
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164 #else |
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165 double result; |
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166 |
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167 if (xisnan (x)) |
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168 result = x; |
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169 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
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170 result = octave_Inf; |
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171 else |
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172 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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173 |
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174 return result; |
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175 #endif |
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176 } |
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177 |
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178 double |
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179 xlgamma (double x) |
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180 { |
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181 #if defined (HAVE_LGAMMA) |
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182 return lgamma (x); |
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183 #else |
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184 double result; |
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185 double sgngam; |
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186 |
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187 if (xisnan (x)) |
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188 result = x; |
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189 else if (xisinf (x)) |
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190 result = octave_Inf; |
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191 else |
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192 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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193 |
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194 return result; |
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195 #endif |
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196 } |
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197 |
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198 static inline Complex |
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199 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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200 |
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201 static inline Complex |
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202 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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203 |
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204 static inline Complex |
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205 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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206 |
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207 static inline Complex |
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208 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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209 |
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210 static inline Complex |
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211 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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212 |
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213 static inline Complex |
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214 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
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215 |
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216 static inline Complex |
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217 bessel_return_value (const Complex& val, octave_idx_type ierr) |
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218 { |
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219 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
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220 static const Complex nan_val = Complex (octave_NaN, octave_NaN); |
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221 |
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222 Complex retval; |
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223 |
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224 switch (ierr) |
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225 { |
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226 case 0: |
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227 case 3: |
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228 retval = val; |
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229 break; |
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230 |
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231 case 2: |
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232 retval = inf_val; |
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233 break; |
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234 |
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235 default: |
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236 retval = nan_val; |
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237 break; |
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238 } |
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239 |
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240 return retval; |
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241 } |
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242 |
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243 static inline bool |
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244 is_integer_value (double x) |
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245 { |
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246 return x == static_cast<double> (static_cast<long> (x)); |
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247 } |
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248 |
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249 static inline Complex |
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250 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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251 { |
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252 Complex retval; |
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253 |
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254 if (alpha >= 0.0) |
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255 { |
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256 double yr = 0.0; |
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257 double yi = 0.0; |
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258 |
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259 octave_idx_type nz; |
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260 |
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261 double zr = z.real (); |
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262 double zi = z.imag (); |
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263 |
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264 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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265 |
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266 if (kode != 2) |
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267 { |
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268 double expz = exp (std::abs (zi)); |
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269 yr *= expz; |
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270 yi *= expz; |
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271 } |
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272 |
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273 if (zi == 0.0 && zr >= 0.0) |
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274 yi = 0.0; |
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275 |
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276 retval = bessel_return_value (Complex (yr, yi), ierr); |
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277 } |
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278 else if (is_integer_value (alpha)) |
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279 { |
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280 // zbesy can overflow as z->0, and cause troubles for generic case below |
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281 alpha = -alpha; |
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282 Complex tmp = zbesj (z, alpha, kode, ierr); |
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283 if ((static_cast <long> (alpha)) & 1) |
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284 tmp = - tmp; |
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285 retval = bessel_return_value (tmp, ierr); |
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286 } |
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287 else |
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288 { |
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289 alpha = -alpha; |
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290 |
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291 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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292 |
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293 if (ierr == 0 || ierr == 3) |
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294 { |
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295 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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296 |
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297 retval = bessel_return_value (tmp, ierr); |
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298 } |
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299 else |
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300 retval = Complex (octave_NaN, octave_NaN); |
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301 } |
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302 |
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303 return retval; |
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304 } |
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305 |
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306 static inline Complex |
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307 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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308 { |
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309 Complex retval; |
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310 |
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311 if (alpha >= 0.0) |
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312 { |
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313 double yr = 0.0; |
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314 double yi = 0.0; |
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315 |
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316 octave_idx_type nz; |
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317 |
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318 double wr, wi; |
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319 |
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320 double zr = z.real (); |
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321 double zi = z.imag (); |
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322 |
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323 ierr = 0; |
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324 |
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325 if (zr == 0.0 && zi == 0.0) |
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326 { |
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327 yr = -octave_Inf; |
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328 yi = 0.0; |
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329 } |
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330 else |
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331 { |
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332 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
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333 &wr, &wi, ierr); |
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334 |
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335 if (kode != 2) |
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336 { |
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337 double expz = exp (std::abs (zi)); |
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338 yr *= expz; |
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339 yi *= expz; |
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340 } |
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341 |
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342 if (zi == 0.0 && zr >= 0.0) |
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343 yi = 0.0; |
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344 } |
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345 |
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346 return bessel_return_value (Complex (yr, yi), ierr); |
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347 } |
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348 else if (is_integer_value (alpha - 0.5)) |
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349 { |
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350 // zbesy can overflow as z->0, and cause troubles for generic case below |
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351 alpha = -alpha; |
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352 Complex tmp = zbesj (z, alpha, kode, ierr); |
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353 if ((static_cast <long> (alpha - 0.5)) & 1) |
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354 tmp = - tmp; |
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355 retval = bessel_return_value (tmp, ierr); |
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356 } |
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357 else |
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358 { |
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359 alpha = -alpha; |
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360 |
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361 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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362 |
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363 if (ierr == 0 || ierr == 3) |
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364 { |
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365 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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366 |
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367 retval = bessel_return_value (tmp, ierr); |
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368 } |
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369 else |
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370 retval = Complex (octave_NaN, octave_NaN); |
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371 } |
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372 |
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373 return retval; |
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374 } |
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375 |
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376 static inline Complex |
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377 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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378 { |
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379 Complex retval; |
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380 |
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381 if (alpha >= 0.0) |
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382 { |
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383 double yr = 0.0; |
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384 double yi = 0.0; |
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385 |
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386 octave_idx_type nz; |
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387 |
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388 double zr = z.real (); |
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389 double zi = z.imag (); |
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390 |
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391 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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392 |
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393 if (kode != 2) |
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394 { |
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395 double expz = exp (std::abs (zr)); |
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396 yr *= expz; |
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397 yi *= expz; |
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398 } |
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399 |
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400 if (zi == 0.0 && zr >= 0.0) |
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401 yi = 0.0; |
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402 |
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403 retval = bessel_return_value (Complex (yr, yi), ierr); |
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404 } |
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405 else |
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406 { |
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407 alpha = -alpha; |
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408 |
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409 Complex tmp = zbesi (z, alpha, kode, ierr); |
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410 |
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411 if (ierr == 0 || ierr == 3) |
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412 { |
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413 if (! is_integer_value (alpha - 0.5)) |
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414 tmp += (2.0 / M_PI) * sin (M_PI * alpha) |
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415 * zbesk (z, alpha, kode, ierr); |
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416 |
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417 retval = bessel_return_value (tmp, ierr); |
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418 } |
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419 else |
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420 retval = Complex (octave_NaN, octave_NaN); |
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421 } |
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422 |
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423 return retval; |
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424 } |
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425 |
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426 static inline Complex |
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427 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
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428 { |
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429 Complex retval; |
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430 |
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431 if (alpha >= 0.0) |
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432 { |
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433 double yr = 0.0; |
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434 double yi = 0.0; |
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435 |
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436 octave_idx_type nz; |
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437 |
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438 double zr = z.real (); |
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439 double zi = z.imag (); |
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440 |
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441 ierr = 0; |
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442 |
|
|
443 if (zr == 0.0 && zi == 0.0) |
|
|
444 { |
|
|
445 yr = octave_Inf; |
|
|
446 yi = 0.0; |
|
|
447 } |
|
|
448 else |
|
|
449 { |
|
4506
|
450 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
|
|
451 |
|
|
452 if (kode != 2) |
|
|
453 { |
|
|
454 Complex expz = exp (-z); |
|
|
455 |
|
|
456 double rexpz = real (expz); |
|
|
457 double iexpz = imag (expz); |
|
|
458 |
|
|
459 double tmp = yr*rexpz - yi*iexpz; |
|
|
460 |
|
|
461 yi = yr*iexpz + yi*rexpz; |
|
|
462 yr = tmp; |
|
|
463 } |
|
3220
|
464 |
|
4490
|
465 if (zi == 0.0 && zr >= 0.0) |
|
3220
|
466 yi = 0.0; |
|
|
467 } |
|
|
468 |
|
|
469 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
470 } |
|
|
471 else |
|
|
472 { |
|
|
473 Complex tmp = zbesk (z, -alpha, kode, ierr); |
|
|
474 |
|
|
475 retval = bessel_return_value (tmp, ierr); |
|
|
476 } |
|
3146
|
477 |
|
|
478 return retval; |
|
|
479 } |
|
|
480 |
|
3220
|
481 static inline Complex |
|
5275
|
482 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3146
|
483 { |
|
3220
|
484 Complex retval; |
|
3146
|
485 |
|
3220
|
486 if (alpha >= 0.0) |
|
3146
|
487 { |
|
3220
|
488 double yr = 0.0; |
|
|
489 double yi = 0.0; |
|
|
490 |
|
5275
|
491 octave_idx_type nz; |
|
3220
|
492 |
|
|
493 double zr = z.real (); |
|
|
494 double zi = z.imag (); |
|
3146
|
495 |
|
4506
|
496 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
|
|
497 |
|
|
498 if (kode != 2) |
|
|
499 { |
|
|
500 Complex expz = exp (Complex (0.0, 1.0) * z); |
|
|
501 |
|
|
502 double rexpz = real (expz); |
|
|
503 double iexpz = imag (expz); |
|
|
504 |
|
|
505 double tmp = yr*rexpz - yi*iexpz; |
|
|
506 |
|
|
507 yi = yr*iexpz + yi*rexpz; |
|
|
508 yr = tmp; |
|
|
509 } |
|
3146
|
510 |
|
3220
|
511 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
|
512 } |
|
|
513 else |
|
|
514 { |
|
|
515 alpha = -alpha; |
|
|
516 |
|
|
517 static const Complex eye = Complex (0.0, 1.0); |
|
3146
|
518 |
|
3220
|
519 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
|
3146
|
520 |
|
3220
|
521 retval = bessel_return_value (tmp, ierr); |
|
|
522 } |
|
3146
|
523 |
|
3220
|
524 return retval; |
|
|
525 } |
|
3146
|
526 |
|
3220
|
527 static inline Complex |
|
5275
|
528 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
|
3220
|
529 { |
|
|
530 Complex retval; |
|
3146
|
531 |
|
3220
|
532 if (alpha >= 0.0) |
|
|
533 { |
|
|
534 double yr = 0.0; |
|
|
535 double yi = 0.0; |
|
|
536 |
|
5275
|
537 octave_idx_type nz; |
|
3146
|
538 |
|
3220
|
539 double zr = z.real (); |
|
|
540 double zi = z.imag (); |
|
3146
|
541 |
|
4506
|
542 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
|
|
543 |
|
|
544 if (kode != 2) |
|
|
545 { |
|
|
546 Complex expz = exp (-Complex (0.0, 1.0) * z); |
|
|
547 |
|
|
548 double rexpz = real (expz); |
|
|
549 double iexpz = imag (expz); |
|
|
550 |
|
|
551 double tmp = yr*rexpz - yi*iexpz; |
|
|
552 |
|
|
553 yi = yr*iexpz + yi*rexpz; |
|
|
554 yr = tmp; |
|
|
555 } |
|
3220
|
556 |
|
|
557 retval = bessel_return_value (Complex (yr, yi), ierr); |
|
3146
|
558 } |
|
|
559 else |
|
3220
|
560 { |
|
|
561 alpha = -alpha; |
|
|
562 |
|
|
563 static const Complex eye = Complex (0.0, 1.0); |
|
|
564 |
|
|
565 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); |
|
|
566 |
|
|
567 retval = bessel_return_value (tmp, ierr); |
|
|
568 } |
|
|
569 |
|
|
570 return retval; |
|
|
571 } |
|
|
572 |
|
5275
|
573 typedef Complex (*fptr) (const Complex&, double, int, octave_idx_type&); |
|
3220
|
574 |
|
|
575 static inline Complex |
|
|
576 do_bessel (fptr f, const char *, double alpha, const Complex& x, |
|
5275
|
577 bool scaled, octave_idx_type& ierr) |
|
3220
|
578 { |
|
|
579 Complex retval; |
|
|
580 |
|
|
581 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
|
|
582 |
|
|
583 return retval; |
|
|
584 } |
|
|
585 |
|
|
586 static inline ComplexMatrix |
|
|
587 do_bessel (fptr f, const char *, double alpha, const ComplexMatrix& x, |
|
5275
|
588 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
589 { |
|
5275
|
590 octave_idx_type nr = x.rows (); |
|
|
591 octave_idx_type nc = x.cols (); |
|
3220
|
592 |
|
|
593 ComplexMatrix retval (nr, nc); |
|
|
594 |
|
|
595 ierr.resize (nr, nc); |
|
|
596 |
|
5275
|
597 for (octave_idx_type j = 0; j < nc; j++) |
|
|
598 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
599 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
|
|
600 |
|
|
601 return retval; |
|
|
602 } |
|
|
603 |
|
|
604 static inline ComplexMatrix |
|
|
605 do_bessel (fptr f, const char *, const Matrix& alpha, const Complex& x, |
|
5275
|
606 bool scaled, Array2<octave_idx_type>& ierr) |
|
3220
|
607 { |
|
5275
|
608 octave_idx_type nr = alpha.rows (); |
|
|
609 octave_idx_type nc = alpha.cols (); |
|
3220
|
610 |
|
|
611 ComplexMatrix retval (nr, nc); |
|
|
612 |
|
|
613 ierr.resize (nr, nc); |
|
|
614 |
|
5275
|
615 for (octave_idx_type j = 0; j < nc; j++) |
|
|
616 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
617 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
3146
|
618 |
|
|
619 return retval; |
|
|
620 } |
|
|
621 |
|
3220
|
622 static inline ComplexMatrix |
|
|
623 do_bessel (fptr f, const char *fn, const Matrix& alpha, |
|
5275
|
624 const ComplexMatrix& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
625 { |
|
3220
|
626 ComplexMatrix retval; |
|
|
627 |
|
5275
|
628 octave_idx_type x_nr = x.rows (); |
|
|
629 octave_idx_type x_nc = x.cols (); |
|
3220
|
630 |
|
5275
|
631 octave_idx_type alpha_nr = alpha.rows (); |
|
|
632 octave_idx_type alpha_nc = alpha.cols (); |
|
3220
|
633 |
|
|
634 if (x_nr == alpha_nr && x_nc == alpha_nc) |
|
|
635 { |
|
5275
|
636 octave_idx_type nr = x_nr; |
|
|
637 octave_idx_type nc = x_nc; |
|
3220
|
638 |
|
|
639 retval.resize (nr, nc); |
|
|
640 |
|
|
641 ierr.resize (nr, nc); |
|
|
642 |
|
5275
|
643 for (octave_idx_type j = 0; j < nc; j++) |
|
|
644 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
645 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
646 } |
|
|
647 else |
|
|
648 (*current_liboctave_error_handler) |
|
|
649 ("%s: the sizes of alpha and x must conform", fn); |
|
|
650 |
|
|
651 return retval; |
|
3146
|
652 } |
|
|
653 |
|
4844
|
654 static inline ComplexNDArray |
|
|
655 do_bessel (fptr f, const char *, double alpha, const ComplexNDArray& x, |
|
5275
|
656 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
657 { |
|
|
658 dim_vector dv = x.dims (); |
|
5275
|
659 octave_idx_type nel = dv.numel (); |
|
4844
|
660 ComplexNDArray retval (dv); |
|
|
661 |
|
|
662 ierr.resize (dv); |
|
|
663 |
|
5275
|
664 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
665 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
|
|
666 |
|
|
667 return retval; |
|
|
668 } |
|
|
669 |
|
|
670 static inline ComplexNDArray |
|
|
671 do_bessel (fptr f, const char *, const NDArray& alpha, const Complex& x, |
|
5275
|
672 bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
673 { |
|
|
674 dim_vector dv = alpha.dims (); |
|
5275
|
675 octave_idx_type nel = dv.numel (); |
|
4844
|
676 ComplexNDArray retval (dv); |
|
|
677 |
|
|
678 ierr.resize (dv); |
|
|
679 |
|
5275
|
680 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
681 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
682 |
|
|
683 return retval; |
|
|
684 } |
|
|
685 |
|
|
686 static inline ComplexNDArray |
|
|
687 do_bessel (fptr f, const char *fn, const NDArray& alpha, |
|
5275
|
688 const ComplexNDArray& x, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
689 { |
|
|
690 dim_vector dv = x.dims (); |
|
|
691 ComplexNDArray retval; |
|
|
692 |
|
|
693 if (dv == alpha.dims ()) |
|
|
694 { |
|
5275
|
695 octave_idx_type nel = dv.numel (); |
|
4844
|
696 |
|
|
697 retval.resize (dv); |
|
|
698 ierr.resize (dv); |
|
|
699 |
|
5275
|
700 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
701 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
|
|
702 } |
|
|
703 else |
|
|
704 (*current_liboctave_error_handler) |
|
|
705 ("%s: the sizes of alpha and x must conform", fn); |
|
|
706 |
|
|
707 return retval; |
|
|
708 } |
|
|
709 |
|
3220
|
710 static inline ComplexMatrix |
|
|
711 do_bessel (fptr f, const char *, const RowVector& alpha, |
|
5275
|
712 const ComplexColumnVector& x, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
713 { |
|
5275
|
714 octave_idx_type nr = x.length (); |
|
|
715 octave_idx_type nc = alpha.length (); |
|
3220
|
716 |
|
|
717 ComplexMatrix retval (nr, nc); |
|
3146
|
718 |
|
3220
|
719 ierr.resize (nr, nc); |
|
|
720 |
|
5275
|
721 for (octave_idx_type j = 0; j < nc; j++) |
|
|
722 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
723 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
|
|
724 |
|
|
725 return retval; |
|
3146
|
726 } |
|
|
727 |
|
3220
|
728 #define SS_BESSEL(name, fcn) \ |
|
|
729 Complex \ |
|
5275
|
730 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \ |
|
3220
|
731 { \ |
|
|
732 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
733 } |
|
|
734 |
|
|
735 #define SM_BESSEL(name, fcn) \ |
|
|
736 ComplexMatrix \ |
|
|
737 name (double alpha, const ComplexMatrix& x, bool scaled, \ |
|
5275
|
738 Array2<octave_idx_type>& ierr) \ |
|
3220
|
739 { \ |
|
|
740 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
741 } |
|
|
742 |
|
|
743 #define MS_BESSEL(name, fcn) \ |
|
|
744 ComplexMatrix \ |
|
|
745 name (const Matrix& alpha, const Complex& x, bool scaled, \ |
|
5275
|
746 Array2<octave_idx_type>& ierr) \ |
|
3220
|
747 { \ |
|
|
748 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
749 } |
|
|
750 |
|
|
751 #define MM_BESSEL(name, fcn) \ |
|
|
752 ComplexMatrix \ |
|
|
753 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ |
|
5275
|
754 Array2<octave_idx_type>& ierr) \ |
|
3220
|
755 { \ |
|
|
756 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
757 } |
|
|
758 |
|
4844
|
759 #define SN_BESSEL(name, fcn) \ |
|
|
760 ComplexNDArray \ |
|
|
761 name (double alpha, const ComplexNDArray& x, bool scaled, \ |
|
5275
|
762 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
763 { \ |
|
|
764 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
765 } |
|
|
766 |
|
|
767 #define NS_BESSEL(name, fcn) \ |
|
|
768 ComplexNDArray \ |
|
|
769 name (const NDArray& alpha, const Complex& x, bool scaled, \ |
|
5275
|
770 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
771 { \ |
|
|
772 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
773 } |
|
|
774 |
|
|
775 #define NN_BESSEL(name, fcn) \ |
|
|
776 ComplexNDArray \ |
|
|
777 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \ |
|
5275
|
778 ArrayN<octave_idx_type>& ierr) \ |
|
4844
|
779 { \ |
|
|
780 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
781 } |
|
|
782 |
|
3220
|
783 #define RC_BESSEL(name, fcn) \ |
|
|
784 ComplexMatrix \ |
|
|
785 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ |
|
5275
|
786 Array2<octave_idx_type>& ierr) \ |
|
3220
|
787 { \ |
|
|
788 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
|
|
789 } |
|
|
790 |
|
|
791 #define ALL_BESSEL(name, fcn) \ |
|
|
792 SS_BESSEL (name, fcn) \ |
|
|
793 SM_BESSEL (name, fcn) \ |
|
|
794 MS_BESSEL (name, fcn) \ |
|
|
795 MM_BESSEL (name, fcn) \ |
|
4844
|
796 SN_BESSEL (name, fcn) \ |
|
|
797 NS_BESSEL (name, fcn) \ |
|
|
798 NN_BESSEL (name, fcn) \ |
|
3220
|
799 RC_BESSEL (name, fcn) |
|
|
800 |
|
|
801 ALL_BESSEL (besselj, zbesj) |
|
|
802 ALL_BESSEL (bessely, zbesy) |
|
|
803 ALL_BESSEL (besseli, zbesi) |
|
|
804 ALL_BESSEL (besselk, zbesk) |
|
|
805 ALL_BESSEL (besselh1, zbesh1) |
|
|
806 ALL_BESSEL (besselh2, zbesh2) |
|
|
807 |
|
|
808 Complex |
|
5275
|
809 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
810 { |
|
3220
|
811 double ar = 0.0; |
|
|
812 double ai = 0.0; |
|
|
813 |
|
5275
|
814 octave_idx_type nz; |
|
3220
|
815 |
|
|
816 double zr = z.real (); |
|
|
817 double zi = z.imag (); |
|
3146
|
818 |
|
5275
|
819 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
820 |
|
4506
|
821 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
|
|
822 |
|
|
823 if (! scaled) |
|
|
824 { |
|
|
825 Complex expz = exp (- 2.0 / 3.0 * z * sqrt(z)); |
|
3220
|
826 |
|
4506
|
827 double rexpz = real (expz); |
|
|
828 double iexpz = imag (expz); |
|
|
829 |
|
|
830 double tmp = ar*rexpz - ai*iexpz; |
|
|
831 |
|
|
832 ai = ar*iexpz + ai*rexpz; |
|
|
833 ar = tmp; |
|
|
834 } |
|
3220
|
835 |
|
4490
|
836 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
837 ai = 0.0; |
|
|
838 |
|
3220
|
839 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
840 } |
|
|
841 |
|
3220
|
842 Complex |
|
5275
|
843 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
|
3146
|
844 { |
|
3220
|
845 double ar = 0.0; |
|
|
846 double ai = 0.0; |
|
|
847 |
|
|
848 double zr = z.real (); |
|
|
849 double zi = z.imag (); |
|
|
850 |
|
5275
|
851 octave_idx_type id = deriv ? 1 : 0; |
|
3220
|
852 |
|
4506
|
853 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
|
|
854 |
|
|
855 if (! scaled) |
|
|
856 { |
|
|
857 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); |
|
3220
|
858 |
|
4506
|
859 double rexpz = real (expz); |
|
|
860 double iexpz = imag (expz); |
|
|
861 |
|
|
862 double tmp = ar*rexpz - ai*iexpz; |
|
|
863 |
|
|
864 ai = ar*iexpz + ai*rexpz; |
|
|
865 ar = tmp; |
|
|
866 } |
|
3220
|
867 |
|
4490
|
868 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
|
3225
|
869 ai = 0.0; |
|
|
870 |
|
3220
|
871 return bessel_return_value (Complex (ar, ai), ierr); |
|
3146
|
872 } |
|
|
873 |
|
3220
|
874 ComplexMatrix |
|
5275
|
875 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
876 { |
|
5275
|
877 octave_idx_type nr = z.rows (); |
|
|
878 octave_idx_type nc = z.cols (); |
|
3220
|
879 |
|
|
880 ComplexMatrix retval (nr, nc); |
|
|
881 |
|
|
882 ierr.resize (nr, nc); |
|
|
883 |
|
5275
|
884 for (octave_idx_type j = 0; j < nc; j++) |
|
|
885 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
886 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
887 |
|
|
888 return retval; |
|
3146
|
889 } |
|
|
890 |
|
3220
|
891 ComplexMatrix |
|
5275
|
892 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
|
3146
|
893 { |
|
5275
|
894 octave_idx_type nr = z.rows (); |
|
|
895 octave_idx_type nc = z.cols (); |
|
3220
|
896 |
|
|
897 ComplexMatrix retval (nr, nc); |
|
|
898 |
|
|
899 ierr.resize (nr, nc); |
|
|
900 |
|
5275
|
901 for (octave_idx_type j = 0; j < nc; j++) |
|
|
902 for (octave_idx_type i = 0; i < nr; i++) |
|
3220
|
903 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
|
|
904 |
|
|
905 return retval; |
|
3146
|
906 } |
|
|
907 |
|
4844
|
908 ComplexNDArray |
|
5275
|
909 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
910 { |
|
|
911 dim_vector dv = z.dims (); |
|
5275
|
912 octave_idx_type nel = dv.numel (); |
|
4844
|
913 ComplexNDArray retval (dv); |
|
|
914 |
|
|
915 ierr.resize (dv); |
|
|
916 |
|
5275
|
917 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
918 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
|
|
919 |
|
|
920 return retval; |
|
|
921 } |
|
|
922 |
|
|
923 ComplexNDArray |
|
5275
|
924 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
|
4844
|
925 { |
|
|
926 dim_vector dv = z.dims (); |
|
5275
|
927 octave_idx_type nel = dv.numel (); |
|
4844
|
928 ComplexNDArray retval (dv); |
|
|
929 |
|
|
930 ierr.resize (dv); |
|
|
931 |
|
5275
|
932 for (octave_idx_type i = 0; i < nel; i++) |
|
4844
|
933 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
|
|
934 |
|
|
935 return retval; |
|
|
936 } |
|
|
937 |
|
3146
|
938 static void |
|
5275
|
939 gripe_betainc_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3, |
|
|
940 octave_idx_type c3) |
|
3146
|
941 { |
|
|
942 (*current_liboctave_error_handler) |
|
|
943 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", |
|
|
944 r1, c1, r2, c2, r3, c3); |
|
|
945 } |
|
|
946 |
|
4844
|
947 static dim_vector null_dims (0); |
|
|
948 |
|
|
949 static void |
|
|
950 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2, |
|
|
951 const dim_vector& d3) |
|
|
952 { |
|
|
953 std::string d1_str = d1.str (); |
|
|
954 std::string d2_str = d2.str (); |
|
|
955 std::string d3_str = d3.str (); |
|
|
956 |
|
|
957 (*current_liboctave_error_handler) |
|
|
958 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", |
|
|
959 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); |
|
|
960 } |
|
|
961 |
|
3146
|
962 double |
|
|
963 betainc (double x, double a, double b) |
|
|
964 { |
|
|
965 double retval; |
|
5700
|
966 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
|
3146
|
967 return retval; |
|
|
968 } |
|
|
969 |
|
|
970 Matrix |
|
|
971 betainc (double x, double a, const Matrix& b) |
|
|
972 { |
|
5275
|
973 octave_idx_type nr = b.rows (); |
|
|
974 octave_idx_type nc = b.cols (); |
|
3146
|
975 |
|
|
976 Matrix retval (nr, nc); |
|
|
977 |
|
5275
|
978 for (octave_idx_type j = 0; j < nc; j++) |
|
|
979 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
980 retval(i,j) = betainc (x, a, b(i,j)); |
|
|
981 |
|
|
982 return retval; |
|
|
983 } |
|
|
984 |
|
|
985 Matrix |
|
|
986 betainc (double x, const Matrix& a, double b) |
|
|
987 { |
|
5275
|
988 octave_idx_type nr = a.rows (); |
|
|
989 octave_idx_type nc = a.cols (); |
|
3146
|
990 |
|
|
991 Matrix retval (nr, nc); |
|
|
992 |
|
5275
|
993 for (octave_idx_type j = 0; j < nc; j++) |
|
|
994 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
995 retval(i,j) = betainc (x, a(i,j), b); |
|
|
996 |
|
|
997 return retval; |
|
|
998 } |
|
|
999 |
|
|
1000 Matrix |
|
|
1001 betainc (double x, const Matrix& a, const Matrix& b) |
|
|
1002 { |
|
|
1003 Matrix retval; |
|
|
1004 |
|
5275
|
1005 octave_idx_type a_nr = a.rows (); |
|
|
1006 octave_idx_type a_nc = a.cols (); |
|
3146
|
1007 |
|
5275
|
1008 octave_idx_type b_nr = b.rows (); |
|
|
1009 octave_idx_type b_nc = b.cols (); |
|
3146
|
1010 |
|
|
1011 if (a_nr == b_nr && a_nc == b_nc) |
|
|
1012 { |
|
|
1013 retval.resize (a_nr, a_nc); |
|
|
1014 |
|
5275
|
1015 for (octave_idx_type j = 0; j < a_nc; j++) |
|
|
1016 for (octave_idx_type i = 0; i < a_nr; i++) |
|
3146
|
1017 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
|
|
1018 } |
|
|
1019 else |
|
|
1020 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
|
|
1021 |
|
|
1022 return retval; |
|
|
1023 } |
|
|
1024 |
|
4844
|
1025 NDArray |
|
|
1026 betainc (double x, double a, const NDArray& b) |
|
|
1027 { |
|
|
1028 dim_vector dv = b.dims (); |
|
|
1029 int nel = dv.numel (); |
|
|
1030 |
|
|
1031 NDArray retval (dv); |
|
|
1032 |
|
|
1033 for (int i = 0; i < nel; i++) |
|
|
1034 retval (i) = betainc (x, a, b(i)); |
|
|
1035 |
|
|
1036 return retval; |
|
|
1037 } |
|
|
1038 |
|
|
1039 NDArray |
|
|
1040 betainc (double x, const NDArray& a, double b) |
|
|
1041 { |
|
|
1042 dim_vector dv = a.dims (); |
|
|
1043 int nel = dv.numel (); |
|
|
1044 |
|
|
1045 NDArray retval (dv); |
|
|
1046 |
|
|
1047 for (int i = 0; i < nel; i++) |
|
|
1048 retval (i) = betainc (x, a(i), b); |
|
|
1049 |
|
|
1050 return retval; |
|
|
1051 } |
|
|
1052 |
|
|
1053 NDArray |
|
|
1054 betainc (double x, const NDArray& a, const NDArray& b) |
|
|
1055 { |
|
|
1056 NDArray retval; |
|
|
1057 dim_vector dv = a.dims (); |
|
|
1058 |
|
|
1059 if (dv == b.dims ()) |
|
|
1060 { |
|
|
1061 int nel = dv.numel (); |
|
|
1062 |
|
|
1063 retval.resize (dv); |
|
|
1064 |
|
|
1065 for (int i = 0; i < nel; i++) |
|
|
1066 retval (i) = betainc (x, a(i), b(i)); |
|
|
1067 } |
|
|
1068 else |
|
|
1069 gripe_betainc_nonconformant (dim_vector (0), dv, b.dims ()); |
|
|
1070 |
|
|
1071 return retval; |
|
|
1072 } |
|
|
1073 |
|
|
1074 |
|
3146
|
1075 Matrix |
|
|
1076 betainc (const Matrix& x, double a, double b) |
|
|
1077 { |
|
5275
|
1078 octave_idx_type nr = x.rows (); |
|
|
1079 octave_idx_type nc = x.cols (); |
|
3146
|
1080 |
|
|
1081 Matrix retval (nr, nc); |
|
|
1082 |
|
5275
|
1083 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1084 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1085 retval(i,j) = betainc (x(i,j), a, b); |
|
|
1086 |
|
|
1087 return retval; |
|
|
1088 } |
|
|
1089 |
|
|
1090 Matrix |
|
|
1091 betainc (const Matrix& x, double a, const Matrix& b) |
|
|
1092 { |
|
|
1093 Matrix retval; |
|
|
1094 |
|
5275
|
1095 octave_idx_type nr = x.rows (); |
|
|
1096 octave_idx_type nc = x.cols (); |
|
3146
|
1097 |
|
5275
|
1098 octave_idx_type b_nr = b.rows (); |
|
|
1099 octave_idx_type b_nc = b.cols (); |
|
3146
|
1100 |
|
|
1101 if (nr == b_nr && nc == b_nc) |
|
|
1102 { |
|
|
1103 retval.resize (nr, nc); |
|
|
1104 |
|
5275
|
1105 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1106 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1107 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
|
|
1108 } |
|
|
1109 else |
|
|
1110 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
|
|
1111 |
|
|
1112 return retval; |
|
|
1113 } |
|
|
1114 |
|
|
1115 Matrix |
|
|
1116 betainc (const Matrix& x, const Matrix& a, double b) |
|
|
1117 { |
|
|
1118 Matrix retval; |
|
|
1119 |
|
5275
|
1120 octave_idx_type nr = x.rows (); |
|
|
1121 octave_idx_type nc = x.cols (); |
|
3146
|
1122 |
|
5275
|
1123 octave_idx_type a_nr = a.rows (); |
|
|
1124 octave_idx_type a_nc = a.cols (); |
|
3146
|
1125 |
|
|
1126 if (nr == a_nr && nc == a_nc) |
|
|
1127 { |
|
|
1128 retval.resize (nr, nc); |
|
|
1129 |
|
5275
|
1130 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1131 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1132 retval(i,j) = betainc (x(i,j), a(i,j), b); |
|
|
1133 } |
|
|
1134 else |
|
|
1135 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
|
|
1136 |
|
|
1137 return retval; |
|
|
1138 } |
|
|
1139 |
|
|
1140 Matrix |
|
|
1141 betainc (const Matrix& x, const Matrix& a, const Matrix& b) |
|
|
1142 { |
|
|
1143 Matrix retval; |
|
|
1144 |
|
5275
|
1145 octave_idx_type nr = x.rows (); |
|
|
1146 octave_idx_type nc = x.cols (); |
|
3146
|
1147 |
|
5275
|
1148 octave_idx_type a_nr = a.rows (); |
|
|
1149 octave_idx_type a_nc = a.cols (); |
|
3146
|
1150 |
|
5275
|
1151 octave_idx_type b_nr = b.rows (); |
|
|
1152 octave_idx_type b_nc = b.cols (); |
|
3146
|
1153 |
|
|
1154 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
|
|
1155 { |
|
|
1156 retval.resize (nr, nc); |
|
|
1157 |
|
5275
|
1158 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1159 for (octave_idx_type i = 0; i < nr; i++) |
|
3146
|
1160 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
|
|
1161 } |
|
|
1162 else |
|
|
1163 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
|
|
1164 |
|
|
1165 return retval; |
|
|
1166 } |
|
|
1167 |
|
4844
|
1168 NDArray |
|
|
1169 betainc (const NDArray& x, double a, double b) |
|
|
1170 { |
|
|
1171 dim_vector dv = x.dims (); |
|
|
1172 int nel = dv.numel (); |
|
|
1173 |
|
|
1174 NDArray retval (dv); |
|
|
1175 |
|
|
1176 for (int i = 0; i < nel; i++) |
|
|
1177 retval (i) = betainc (x(i), a, b); |
|
|
1178 |
|
|
1179 return retval; |
|
|
1180 } |
|
|
1181 |
|
|
1182 NDArray |
|
|
1183 betainc (const NDArray& x, double a, const NDArray& b) |
|
|
1184 { |
|
|
1185 NDArray retval; |
|
|
1186 dim_vector dv = x.dims (); |
|
|
1187 |
|
|
1188 if (dv == b.dims ()) |
|
|
1189 { |
|
|
1190 int nel = dv.numel (); |
|
|
1191 |
|
|
1192 retval.resize (dv); |
|
|
1193 |
|
|
1194 for (int i = 0; i < nel; i++) |
|
|
1195 retval (i) = betainc (x(i), a, b(i)); |
|
|
1196 } |
|
|
1197 else |
|
|
1198 gripe_betainc_nonconformant (dv, dim_vector (0), b.dims ()); |
|
|
1199 |
|
|
1200 return retval; |
|
|
1201 } |
|
|
1202 |
|
|
1203 NDArray |
|
|
1204 betainc (const NDArray& x, const NDArray& a, double b) |
|
|
1205 { |
|
|
1206 NDArray retval; |
|
|
1207 dim_vector dv = x.dims (); |
|
|
1208 |
|
|
1209 if (dv == a.dims ()) |
|
|
1210 { |
|
|
1211 int nel = dv.numel (); |
|
|
1212 |
|
|
1213 retval.resize (dv); |
|
|
1214 |
|
|
1215 for (int i = 0; i < nel; i++) |
|
|
1216 retval (i) = betainc (x(i), a(i), b); |
|
|
1217 } |
|
|
1218 else |
|
|
1219 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0)); |
|
|
1220 |
|
|
1221 return retval; |
|
|
1222 } |
|
|
1223 |
|
|
1224 NDArray |
|
|
1225 betainc (const NDArray& x, const NDArray& a, const NDArray& b) |
|
|
1226 { |
|
|
1227 NDArray retval; |
|
|
1228 dim_vector dv = x.dims (); |
|
|
1229 |
|
|
1230 if (dv == a.dims () && dv == b.dims ()) |
|
|
1231 { |
|
|
1232 int nel = dv.numel (); |
|
|
1233 |
|
|
1234 retval.resize (dv); |
|
|
1235 |
|
|
1236 for (int i = 0; i < nel; i++) |
|
|
1237 retval (i) = betainc (x(i), a(i), b(i)); |
|
|
1238 } |
|
|
1239 else |
|
|
1240 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
|
|
1241 |
|
|
1242 return retval; |
|
|
1243 } |
|
|
1244 |
|
5775
|
1245 // FIXME -- there is still room for improvement here... |
|
3164
|
1246 |
|
3146
|
1247 double |
|
4004
|
1248 gammainc (double x, double a, bool& err) |
|
3146
|
1249 { |
|
|
1250 double retval; |
|
3164
|
1251 |
|
4004
|
1252 err = false; |
|
3164
|
1253 |
|
4004
|
1254 if (a < 0.0 || x < 0.0) |
|
|
1255 { |
|
|
1256 (*current_liboctave_error_handler) |
|
|
1257 ("gammainc: A and X must be non-negative"); |
|
|
1258 |
|
|
1259 err = true; |
|
|
1260 } |
|
|
1261 else |
|
5278
|
1262 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval)); |
|
3164
|
1263 |
|
3146
|
1264 return retval; |
|
|
1265 } |
|
|
1266 |
|
|
1267 Matrix |
|
|
1268 gammainc (double x, const Matrix& a) |
|
|
1269 { |
|
5275
|
1270 octave_idx_type nr = a.rows (); |
|
|
1271 octave_idx_type nc = a.cols (); |
|
3146
|
1272 |
|
4004
|
1273 Matrix result (nr, nc); |
|
|
1274 Matrix retval; |
|
|
1275 |
|
|
1276 bool err; |
|
3146
|
1277 |
|
5275
|
1278 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1279 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1280 { |
|
|
1281 result(i,j) = gammainc (x, a(i,j), err); |
|
|
1282 |
|
|
1283 if (err) |
|
|
1284 goto done; |
|
|
1285 } |
|
|
1286 |
|
|
1287 retval = result; |
|
|
1288 |
|
|
1289 done: |
|
3146
|
1290 |
|
|
1291 return retval; |
|
|
1292 } |
|
|
1293 |
|
|
1294 Matrix |
|
|
1295 gammainc (const Matrix& x, double a) |
|
|
1296 { |
|
5275
|
1297 octave_idx_type nr = x.rows (); |
|
|
1298 octave_idx_type nc = x.cols (); |
|
3146
|
1299 |
|
4004
|
1300 Matrix result (nr, nc); |
|
|
1301 Matrix retval; |
|
|
1302 |
|
|
1303 bool err; |
|
3146
|
1304 |
|
5275
|
1305 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1306 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1307 { |
|
|
1308 result(i,j) = gammainc (x(i,j), a, err); |
|
|
1309 |
|
|
1310 if (err) |
|
|
1311 goto done; |
|
|
1312 } |
|
|
1313 |
|
|
1314 retval = result; |
|
|
1315 |
|
|
1316 done: |
|
3146
|
1317 |
|
|
1318 return retval; |
|
|
1319 } |
|
|
1320 |
|
|
1321 Matrix |
|
|
1322 gammainc (const Matrix& x, const Matrix& a) |
|
|
1323 { |
|
4004
|
1324 Matrix result; |
|
3146
|
1325 Matrix retval; |
|
|
1326 |
|
5275
|
1327 octave_idx_type nr = x.rows (); |
|
|
1328 octave_idx_type nc = x.cols (); |
|
3146
|
1329 |
|
5275
|
1330 octave_idx_type a_nr = a.rows (); |
|
|
1331 octave_idx_type a_nc = a.cols (); |
|
3146
|
1332 |
|
|
1333 if (nr == a_nr && nc == a_nc) |
|
|
1334 { |
|
4004
|
1335 result.resize (nr, nc); |
|
|
1336 |
|
|
1337 bool err; |
|
3146
|
1338 |
|
5275
|
1339 for (octave_idx_type j = 0; j < nc; j++) |
|
|
1340 for (octave_idx_type i = 0; i < nr; i++) |
|
4004
|
1341 { |
|
|
1342 result(i,j) = gammainc (x(i,j), a(i,j), err); |
|
|
1343 |
|
|
1344 if (err) |
|
|
1345 goto done; |
|
|
1346 } |
|
|
1347 |
|
|
1348 retval = result; |
|
3146
|
1349 } |
|
|
1350 else |
|
|
1351 (*current_liboctave_error_handler) |
|
|
1352 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", |
|
|
1353 nr, nc, a_nr, a_nc); |
|
|
1354 |
|
4004
|
1355 done: |
|
|
1356 |
|
3146
|
1357 return retval; |
|
|
1358 } |
|
|
1359 |
|
4844
|
1360 NDArray |
|
|
1361 gammainc (double x, const NDArray& a) |
|
|
1362 { |
|
|
1363 dim_vector dv = a.dims (); |
|
|
1364 int nel = dv.numel (); |
|
|
1365 |
|
|
1366 NDArray retval; |
|
|
1367 NDArray result (dv); |
|
|
1368 |
|
|
1369 bool err; |
|
|
1370 |
|
|
1371 for (int i = 0; i < nel; i++) |
|
|
1372 { |
|
|
1373 result (i) = gammainc (x, a(i), err); |
|
|
1374 |
|
|
1375 if (err) |
|
|
1376 goto done; |
|
|
1377 } |
|
|
1378 |
|
|
1379 retval = result; |
|
|
1380 |
|
|
1381 done: |
|
|
1382 |
|
|
1383 return retval; |
|
|
1384 } |
|
|
1385 |
|
|
1386 NDArray |
|
|
1387 gammainc (const NDArray& x, double a) |
|
|
1388 { |
|
|
1389 dim_vector dv = x.dims (); |
|
|
1390 int nel = dv.numel (); |
|
|
1391 |
|
|
1392 NDArray retval; |
|
|
1393 NDArray result (dv); |
|
|
1394 |
|
|
1395 bool err; |
|
|
1396 |
|
|
1397 for (int i = 0; i < nel; i++) |
|
|
1398 { |
|
|
1399 result (i) = gammainc (x(i), a, err); |
|
|
1400 |
|
|
1401 if (err) |
|
|
1402 goto done; |
|
|
1403 } |
|
|
1404 |
|
|
1405 retval = result; |
|
|
1406 |
|
|
1407 done: |
|
|
1408 |
|
|
1409 return retval; |
|
|
1410 } |
|
|
1411 |
|
|
1412 NDArray |
|
|
1413 gammainc (const NDArray& x, const NDArray& a) |
|
|
1414 { |
|
|
1415 dim_vector dv = x.dims (); |
|
|
1416 int nel = dv.numel (); |
|
|
1417 |
|
|
1418 NDArray retval; |
|
|
1419 NDArray result; |
|
|
1420 |
|
|
1421 if (dv == a.dims ()) |
|
|
1422 { |
|
|
1423 result.resize (dv); |
|
|
1424 |
|
|
1425 bool err; |
|
|
1426 |
|
|
1427 for (int i = 0; i < nel; i++) |
|
|
1428 { |
|
|
1429 result (i) = gammainc (x(i), a(i), err); |
|
|
1430 |
|
|
1431 if (err) |
|
|
1432 goto done; |
|
|
1433 } |
|
|
1434 |
|
|
1435 retval = result; |
|
|
1436 } |
|
|
1437 else |
|
|
1438 { |
|
|
1439 std::string x_str = dv.str (); |
|
|
1440 std::string a_str = a.dims ().str (); |
|
|
1441 |
|
|
1442 (*current_liboctave_error_handler) |
|
|
1443 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
|
|
1444 x_str.c_str (), a_str. c_str ()); |
|
|
1445 } |
|
|
1446 |
|
|
1447 done: |
|
|
1448 |
|
|
1449 return retval; |
|
|
1450 } |
|
|
1451 |
|
3146
|
1452 /* |
|
|
1453 ;;; Local Variables: *** |
|
|
1454 ;;; mode: C++ *** |
|
|
1455 ;;; End: *** |
|
|
1456 */ |
