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annotate liboctave/lo-specfun.h @ 7601:8a939b217863

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Treat negative values to lgamma and beta correctly
author David Bateman <dbateman@free.fr>
date Tue, 18 Mar 2008 21:32:48 -0400
parents a1dbe9d80eee
children 2df457529cfa
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1 /*
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2
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3 Copyright (C) 1996, 1997, 1998, 2002, 2004, 2005, 2006, 2007
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe]
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4 John W. Eaton
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5
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6 This file is part of Octave.
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7
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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24 #if !defined (octave_liboctave_specfun_h)
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25 #define octave_liboctave_specfun_h 1
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26
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27 #include "oct-cmplx.h"
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28 #include "oct-types.h"
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29 #include "ArrayN.h"
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30
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31 template <class T> class Array2;
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32 class Matrix;
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33 class ComplexMatrix;
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34 class NDArray;
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35 class ComplexNDArray;
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36 class RowVector;
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37 class ComplexColumnVector;
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38 class Range;
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39
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40 #if !defined (HAVE_ACOSH)
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41 extern OCTAVE_API double acosh (double);
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42 #endif
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43
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44 #if !defined (HAVE_ASINH)
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45 extern OCTAVE_API double asinh (double);
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46 #endif
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47
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48 #if !defined (HAVE_ATANH)
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49 extern OCTAVE_API double atanh (double);
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50 #endif
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51
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52 #if !defined (HAVE_ERF)
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53 extern OCTAVE_API double erf (double);
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54 #endif
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55
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56 #if !defined (HAVE_ERFC)
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57 extern OCTAVE_API double erfc (double);
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58 #endif
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59
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60 extern OCTAVE_API double xgamma (double x);
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61 extern OCTAVE_API double xlgamma (double x);
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8a939b217863 Treat negative values to lgamma and beta correctly
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62 extern OCTAVE_API Complex xlgamma (const Complex& x);
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63
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64 extern OCTAVE_API Complex
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65 besselj (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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66
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67 extern OCTAVE_API Complex
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68 bessely (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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69
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70 extern OCTAVE_API Complex
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71 besseli (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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72
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73 extern OCTAVE_API Complex
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74 besselk (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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75
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76 extern OCTAVE_API Complex
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77 besselh1 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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78
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79 extern OCTAVE_API Complex
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80 besselh2 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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81
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82 extern OCTAVE_API ComplexMatrix
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83 besselj (double alpha, const ComplexMatrix& x, bool scaled,
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84 Array2<octave_idx_type>& ierr);
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85
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86 extern OCTAVE_API ComplexMatrix
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87 bessely (double alpha, const ComplexMatrix& x, bool scaled,
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88 Array2<octave_idx_type>& ierr);
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89
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90 extern OCTAVE_API ComplexMatrix
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91 besseli (double alpha, const ComplexMatrix& x, bool scaled,
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92 Array2<octave_idx_type>& ierr);
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93
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94 extern OCTAVE_API ComplexMatrix
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95 besselk (double alpha, const ComplexMatrix& x, bool scaled,
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96 Array2<octave_idx_type>& ierr);
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97
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98 extern OCTAVE_API ComplexMatrix
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99 besselh1 (double alpha, const ComplexMatrix& x, bool scaled,
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100 Array2<octave_idx_type>& ierr);
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101
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102 extern OCTAVE_API ComplexMatrix
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103 besselh2 (double alpha, const ComplexMatrix& x, bool scaled,
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104 Array2<octave_idx_type>& ierr);
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105
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106 extern OCTAVE_API ComplexMatrix
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107 besselj (const Matrix& alpha, const Complex& x, bool scaled,
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108 Array2<octave_idx_type>& ierr);
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109
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110 extern OCTAVE_API ComplexMatrix
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111 bessely (const Matrix& alpha, const Complex& x, bool scaled,
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112 Array2<octave_idx_type>& ierr);
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113
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114 extern OCTAVE_API ComplexMatrix
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115 besseli (const Matrix& alpha, const Complex& x, bool scaled,
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116 Array2<octave_idx_type>& ierr);
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117
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118 extern OCTAVE_API ComplexMatrix
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119 besselk (const Matrix& alpha, const Complex& x, bool scaled,
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120 Array2<octave_idx_type>& ierr);
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121
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122 extern OCTAVE_API ComplexMatrix
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123 besselh1 (const Matrix& alpha, const Complex& x, bool scaled,
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124 Array2<octave_idx_type>& ierr);
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125
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126 extern OCTAVE_API ComplexMatrix
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127 besselh2 (const Matrix& alpha, const Complex& x, bool scaled,
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128 Array2<octave_idx_type>& ierr);
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129
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130 extern OCTAVE_API ComplexMatrix
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131 besselj (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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132 Array2<octave_idx_type>& ierr);
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133
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134 extern OCTAVE_API ComplexMatrix
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135 bessely (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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136 Array2<octave_idx_type>& ierr);
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137
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138 extern OCTAVE_API ComplexMatrix
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139 besseli (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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140 Array2<octave_idx_type>& ierr);
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141
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142 extern OCTAVE_API ComplexMatrix
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143 besselk (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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144 Array2<octave_idx_type>& ierr);
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145
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146 extern OCTAVE_API ComplexMatrix
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147 besselh1 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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148 Array2<octave_idx_type>& ierr);
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149
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150 extern OCTAVE_API ComplexMatrix
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151 besselh2 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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152 Array2<octave_idx_type>& ierr);
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153
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154 extern OCTAVE_API ComplexNDArray
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155 besselj (double alpha, const ComplexNDArray& x, bool scaled,
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156 ArrayN<octave_idx_type>& ierr);
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157
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158 extern OCTAVE_API ComplexNDArray
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159 bessely (double alpha, const ComplexNDArray& x, bool scaled,
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160 ArrayN<octave_idx_type>& ierr);
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161
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162 extern OCTAVE_API ComplexNDArray
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163 besseli (double alpha, const ComplexNDArray& x, bool scaled,
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164 ArrayN<octave_idx_type>& ierr);
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165
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166 extern OCTAVE_API ComplexNDArray
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167 besselk (double alpha, const ComplexNDArray& x, bool scaled,
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168 ArrayN<octave_idx_type>& ierr);
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169
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170 extern OCTAVE_API ComplexNDArray
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171 besselh1 (double alpha, const ComplexNDArray& x, bool scaled,
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172 ArrayN<octave_idx_type>& ierr);
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173
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174 extern OCTAVE_API ComplexNDArray
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175 besselh2 (double alpha, const ComplexNDArray& x, bool scaled,
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176 ArrayN<octave_idx_type>& ierr);
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177
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178 extern OCTAVE_API ComplexNDArray
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179 besselj (const NDArray& alpha, const Complex& x, bool scaled,
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180 ArrayN<octave_idx_type>& ierr);
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181
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182 extern OCTAVE_API ComplexNDArray
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183 bessely (const NDArray& alpha, const Complex& x, bool scaled,
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184 ArrayN<octave_idx_type>& ierr);
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185
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186 extern OCTAVE_API ComplexNDArray
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187 besseli (const NDArray& alpha, const Complex& x, bool scaled,
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188 ArrayN<octave_idx_type>& ierr);
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189
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190 extern OCTAVE_API ComplexNDArray
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191 besselk (const NDArray& alpha, const Complex& x, bool scaled,
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192 ArrayN<octave_idx_type>& ierr);
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193
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194 extern OCTAVE_API ComplexNDArray
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195 besselh1 (const NDArray& alpha, const Complex& x, bool scaled,
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196 ArrayN<octave_idx_type>& ierr);
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197
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198 extern OCTAVE_API ComplexNDArray
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199 besselh2 (const NDArray& alpha, const Complex& x, bool scaled,
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200 ArrayN<octave_idx_type>& ierr);
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201
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202 extern OCTAVE_API ComplexNDArray
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203 besselj (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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204 ArrayN<octave_idx_type>& ierr);
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205
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206 extern OCTAVE_API ComplexNDArray
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207 bessely (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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208 ArrayN<octave_idx_type>& ierr);
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209
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210 extern OCTAVE_API ComplexNDArray
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211 besseli (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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212 ArrayN<octave_idx_type>& ierr);
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213
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214 extern OCTAVE_API ComplexNDArray
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215 besselk (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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216 ArrayN<octave_idx_type>& ierr);
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217
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218 extern OCTAVE_API ComplexNDArray
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219 besselh1 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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220 ArrayN<octave_idx_type>& ierr);
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221
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222 extern OCTAVE_API ComplexNDArray
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223 besselh2 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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224 ArrayN<octave_idx_type>& ierr);
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225
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226 extern OCTAVE_API ComplexMatrix
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227 besselj (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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228 Array2<octave_idx_type>& ierr);
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229
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230 extern OCTAVE_API ComplexMatrix
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231 bessely (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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232 Array2<octave_idx_type>& ierr);
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233
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234 extern OCTAVE_API ComplexMatrix
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235 besseli (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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236 Array2<octave_idx_type>& ierr);
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237
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238 extern OCTAVE_API ComplexMatrix
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239 besselk (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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240 Array2<octave_idx_type>& ierr);
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241
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242 extern OCTAVE_API ComplexMatrix
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243 besselh1 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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244 Array2<octave_idx_type>& ierr);
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245
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246 extern OCTAVE_API ComplexMatrix
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247 besselh2 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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248 Array2<octave_idx_type>& ierr);
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249
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250 extern OCTAVE_API Complex airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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251 extern OCTAVE_API Complex biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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252
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253 extern OCTAVE_API ComplexMatrix
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254 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr);
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255
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256 extern OCTAVE_API ComplexMatrix
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257 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr);
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258
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259 extern OCTAVE_API ComplexNDArray
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260 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr);
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261
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262 extern OCTAVE_API ComplexNDArray
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263 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr);
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264
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265 extern OCTAVE_API double betainc (double x, double a, double b);
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266 extern OCTAVE_API Matrix betainc (double x, double a, const Matrix& b);
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267 extern OCTAVE_API Matrix betainc (double x, const Matrix& a, double b);
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268 extern OCTAVE_API Matrix betainc (double x, const Matrix& a, const Matrix& b);
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269
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270 extern OCTAVE_API NDArray betainc (double x, double a, const NDArray& b);
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271 extern OCTAVE_API NDArray betainc (double x, const NDArray& a, double b);
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272 extern OCTAVE_API NDArray betainc (double x, const NDArray& a, const NDArray& b);
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273
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274 extern OCTAVE_API Matrix betainc (const Matrix& x, double a, double b);
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275 extern OCTAVE_API Matrix betainc (const Matrix& x, double a, const Matrix& b);
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276 extern OCTAVE_API Matrix betainc (const Matrix& x, const Matrix& a, double b);
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277 extern OCTAVE_API Matrix betainc (const Matrix& x, const Matrix& a, const Matrix& b);
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278
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279 extern OCTAVE_API NDArray betainc (const NDArray& x, double a, double b);
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280 extern OCTAVE_API NDArray betainc (const NDArray& x, double a, const NDArray& b);
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281 extern OCTAVE_API NDArray betainc (const NDArray& x, const NDArray& a, double b);
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282 extern OCTAVE_API NDArray betainc (const NDArray& x, const NDArray& a, const NDArray& b);
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283
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284 extern OCTAVE_API double gammainc (double x, double a, bool& err);
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285 extern OCTAVE_API Matrix gammainc (double x, const Matrix& a);
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286 extern OCTAVE_API Matrix gammainc (const Matrix& x, double a);
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287 extern OCTAVE_API Matrix gammainc (const Matrix& x, const Matrix& a);
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288
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289 extern OCTAVE_API NDArray gammainc (double x, const NDArray& a);
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290 extern OCTAVE_API NDArray gammainc (const NDArray& x, double a);
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291 extern OCTAVE_API NDArray gammainc (const NDArray& x, const NDArray& a);
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292
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293 inline double gammainc (double x, double a)
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294 {
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295 bool err;
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296 return gammainc (x, a, err);
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297 }
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298
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299 #endif
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300
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301 /*
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302 ;;; Local Variables: ***
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303 ;;; mode: C ***
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304 ;;; page-delimiter: "^/\\*" ***
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305 ;;; End: ***
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306 */