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annotate liboctave/lo-specfun.h @ 7016:93c65f2a5668

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[project @ 2007-10-12 06:40:56 by jwe]
author jwe
date Fri, 12 Oct 2007 06:41:26 +0000
parents 0a64abe792f4
children a1dbe9d80eee
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1 /*
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2
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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3 Copyright (C) 1996, 1997 John W. Eaton
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4
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5 This file is part of Octave.
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6
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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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
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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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
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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23 #if !defined (octave_liboctave_specfun_h)
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24 #define octave_liboctave_specfun_h 1
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25
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26 #include "oct-cmplx.h"
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27 #include "oct-types.h"
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28 #include "ArrayN.h"
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29
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30 template <class T> class Array2;
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31 class Matrix;
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32 class ComplexMatrix;
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33 class NDArray;
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34 class ComplexNDArray;
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35 class RowVector;
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36 class ComplexColumnVector;
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37 class Range;
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38
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39 #if !defined (HAVE_ACOSH)
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40 extern OCTAVE_API double acosh (double);
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41 #endif
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42
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43 #if !defined (HAVE_ASINH)
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44 extern OCTAVE_API double asinh (double);
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45 #endif
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46
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47 #if !defined (HAVE_ATANH)
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48 extern OCTAVE_API double atanh (double);
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49 #endif
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50
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51 #if !defined (HAVE_ERF)
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52 extern OCTAVE_API double erf (double);
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53 #endif
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54
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55 #if !defined (HAVE_ERFC)
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56 extern OCTAVE_API double erfc (double);
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57 #endif
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58
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59 extern OCTAVE_API double xgamma (double x);
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60 extern OCTAVE_API double xlgamma (double x);
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61
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62 extern OCTAVE_API Complex
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63 besselj (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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64
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65 extern OCTAVE_API Complex
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66 bessely (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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67
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68 extern OCTAVE_API Complex
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69 besseli (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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70
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71 extern OCTAVE_API Complex
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72 besselk (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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73
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74 extern OCTAVE_API Complex
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75 besselh1 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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76
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77 extern OCTAVE_API Complex
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78 besselh2 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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79
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80 extern OCTAVE_API ComplexMatrix
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81 besselj (double alpha, const ComplexMatrix& x, bool scaled,
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82 Array2<octave_idx_type>& ierr);
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83
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84 extern OCTAVE_API ComplexMatrix
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85 bessely (double alpha, const ComplexMatrix& x, bool scaled,
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86 Array2<octave_idx_type>& ierr);
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87
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88 extern OCTAVE_API ComplexMatrix
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89 besseli (double alpha, const ComplexMatrix& x, bool scaled,
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90 Array2<octave_idx_type>& ierr);
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91
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92 extern OCTAVE_API ComplexMatrix
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93 besselk (double alpha, const ComplexMatrix& x, bool scaled,
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94 Array2<octave_idx_type>& ierr);
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95
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96 extern OCTAVE_API ComplexMatrix
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97 besselh1 (double alpha, const ComplexMatrix& x, bool scaled,
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98 Array2<octave_idx_type>& ierr);
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99
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100 extern OCTAVE_API ComplexMatrix
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101 besselh2 (double alpha, const ComplexMatrix& x, bool scaled,
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102 Array2<octave_idx_type>& ierr);
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103
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104 extern OCTAVE_API ComplexMatrix
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105 besselj (const Matrix& alpha, const Complex& x, bool scaled,
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106 Array2<octave_idx_type>& ierr);
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107
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108 extern OCTAVE_API ComplexMatrix
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109 bessely (const Matrix& alpha, const Complex& x, bool scaled,
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110 Array2<octave_idx_type>& ierr);
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111
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112 extern OCTAVE_API ComplexMatrix
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113 besseli (const Matrix& alpha, const Complex& x, bool scaled,
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114 Array2<octave_idx_type>& ierr);
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115
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116 extern OCTAVE_API ComplexMatrix
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117 besselk (const Matrix& alpha, const Complex& x, bool scaled,
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118 Array2<octave_idx_type>& ierr);
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119
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120 extern OCTAVE_API ComplexMatrix
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121 besselh1 (const Matrix& alpha, const Complex& x, bool scaled,
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122 Array2<octave_idx_type>& ierr);
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123
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124 extern OCTAVE_API ComplexMatrix
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125 besselh2 (const Matrix& alpha, const Complex& x, bool scaled,
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126 Array2<octave_idx_type>& ierr);
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127
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128 extern OCTAVE_API ComplexMatrix
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129 besselj (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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130 Array2<octave_idx_type>& ierr);
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131
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132 extern OCTAVE_API ComplexMatrix
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133 bessely (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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134 Array2<octave_idx_type>& ierr);
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135
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136 extern OCTAVE_API ComplexMatrix
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137 besseli (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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138 Array2<octave_idx_type>& ierr);
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139
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140 extern OCTAVE_API ComplexMatrix
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141 besselk (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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142 Array2<octave_idx_type>& ierr);
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143
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144 extern OCTAVE_API ComplexMatrix
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145 besselh1 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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146 Array2<octave_idx_type>& ierr);
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147
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148 extern OCTAVE_API ComplexMatrix
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149 besselh2 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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150 Array2<octave_idx_type>& ierr);
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151
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152 extern OCTAVE_API ComplexNDArray
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153 besselj (double alpha, const ComplexNDArray& x, bool scaled,
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154 ArrayN<octave_idx_type>& ierr);
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155
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156 extern OCTAVE_API ComplexNDArray
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157 bessely (double alpha, const ComplexNDArray& x, bool scaled,
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158 ArrayN<octave_idx_type>& ierr);
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159
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160 extern OCTAVE_API ComplexNDArray
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161 besseli (double alpha, const ComplexNDArray& x, bool scaled,
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162 ArrayN<octave_idx_type>& ierr);
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163
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164 extern OCTAVE_API ComplexNDArray
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165 besselk (double alpha, const ComplexNDArray& x, bool scaled,
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166 ArrayN<octave_idx_type>& ierr);
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167
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168 extern OCTAVE_API ComplexNDArray
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169 besselh1 (double alpha, const ComplexNDArray& x, bool scaled,
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170 ArrayN<octave_idx_type>& ierr);
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171
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172 extern OCTAVE_API ComplexNDArray
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173 besselh2 (double alpha, const ComplexNDArray& x, bool scaled,
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174 ArrayN<octave_idx_type>& ierr);
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175
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176 extern OCTAVE_API ComplexNDArray
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177 besselj (const NDArray& alpha, const Complex& x, bool scaled,
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178 ArrayN<octave_idx_type>& ierr);
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179
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180 extern OCTAVE_API ComplexNDArray
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181 bessely (const NDArray& alpha, const Complex& x, bool scaled,
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182 ArrayN<octave_idx_type>& ierr);
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183
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184 extern OCTAVE_API ComplexNDArray
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185 besseli (const NDArray& alpha, const Complex& x, bool scaled,
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186 ArrayN<octave_idx_type>& ierr);
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187
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188 extern OCTAVE_API ComplexNDArray
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189 besselk (const NDArray& alpha, const Complex& x, bool scaled,
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190 ArrayN<octave_idx_type>& ierr);
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191
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192 extern OCTAVE_API ComplexNDArray
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193 besselh1 (const NDArray& alpha, const Complex& x, bool scaled,
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194 ArrayN<octave_idx_type>& ierr);
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195
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196 extern OCTAVE_API ComplexNDArray
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197 besselh2 (const NDArray& alpha, const Complex& x, bool scaled,
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198 ArrayN<octave_idx_type>& ierr);
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199
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200 extern OCTAVE_API ComplexNDArray
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201 besselj (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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202 ArrayN<octave_idx_type>& ierr);
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203
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204 extern OCTAVE_API ComplexNDArray
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205 bessely (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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206 ArrayN<octave_idx_type>& ierr);
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207
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208 extern OCTAVE_API ComplexNDArray
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209 besseli (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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210 ArrayN<octave_idx_type>& ierr);
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211
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212 extern OCTAVE_API ComplexNDArray
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213 besselk (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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214 ArrayN<octave_idx_type>& ierr);
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215
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216 extern OCTAVE_API ComplexNDArray
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217 besselh1 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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218 ArrayN<octave_idx_type>& ierr);
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219
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220 extern OCTAVE_API ComplexNDArray
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221 besselh2 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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222 ArrayN<octave_idx_type>& ierr);
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223
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224 extern OCTAVE_API ComplexMatrix
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225 besselj (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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226 Array2<octave_idx_type>& ierr);
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227
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228 extern OCTAVE_API ComplexMatrix
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229 bessely (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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230 Array2<octave_idx_type>& ierr);
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231
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232 extern OCTAVE_API ComplexMatrix
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233 besseli (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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234 Array2<octave_idx_type>& ierr);
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235
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236 extern OCTAVE_API ComplexMatrix
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237 besselk (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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238 Array2<octave_idx_type>& ierr);
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239
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240 extern OCTAVE_API ComplexMatrix
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241 besselh1 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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242 Array2<octave_idx_type>& ierr);
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243
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244 extern OCTAVE_API ComplexMatrix
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245 besselh2 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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246 Array2<octave_idx_type>& ierr);
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247
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248 extern OCTAVE_API Complex airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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249 extern OCTAVE_API Complex biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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250
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251 extern OCTAVE_API ComplexMatrix
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252 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr);
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253
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254 extern OCTAVE_API ComplexMatrix
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255 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr);
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256
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257 extern OCTAVE_API ComplexNDArray
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258 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr);
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259
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260 extern OCTAVE_API ComplexNDArray
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261 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr);
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262
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263 extern OCTAVE_API double betainc (double x, double a, double b);
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264 extern OCTAVE_API Matrix betainc (double x, double a, const Matrix& b);
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265 extern OCTAVE_API Matrix betainc (double x, const Matrix& a, double b);
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266 extern OCTAVE_API Matrix betainc (double x, const Matrix& a, const Matrix& b);
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267
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268 extern OCTAVE_API NDArray betainc (double x, double a, const NDArray& b);
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269 extern OCTAVE_API NDArray betainc (double x, const NDArray& a, double b);
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270 extern OCTAVE_API NDArray betainc (double x, const NDArray& a, const NDArray& b);
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271
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272 extern OCTAVE_API Matrix betainc (const Matrix& x, double a, double b);
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273 extern OCTAVE_API Matrix betainc (const Matrix& x, double a, const Matrix& b);
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274 extern OCTAVE_API Matrix betainc (const Matrix& x, const Matrix& a, double b);
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275 extern OCTAVE_API Matrix betainc (const Matrix& x, const Matrix& a, const Matrix& b);
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276
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277 extern OCTAVE_API NDArray betainc (const NDArray& x, double a, double b);
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278 extern OCTAVE_API NDArray betainc (const NDArray& x, double a, const NDArray& b);
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279 extern OCTAVE_API NDArray betainc (const NDArray& x, const NDArray& a, double b);
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280 extern OCTAVE_API NDArray betainc (const NDArray& x, const NDArray& a, const NDArray& b);
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281
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282 extern OCTAVE_API double gammainc (double x, double a, bool& err);
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283 extern OCTAVE_API Matrix gammainc (double x, const Matrix& a);
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284 extern OCTAVE_API Matrix gammainc (const Matrix& x, double a);
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285 extern OCTAVE_API Matrix gammainc (const Matrix& x, const Matrix& a);
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286
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287 extern OCTAVE_API NDArray gammainc (double x, const NDArray& a);
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288 extern OCTAVE_API NDArray gammainc (const NDArray& x, double a);
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289 extern OCTAVE_API NDArray gammainc (const NDArray& x, const NDArray& a);
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290
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291 inline double gammainc (double x, double a)
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292 {
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293 bool err;
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294 return gammainc (x, a, err);
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295 }
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296
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297 #endif
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298
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299 /*
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300 ;;; Local Variables: ***
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301 ;;; mode: C ***
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302 ;;; page-delimiter: "^/\\*" ***
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303 ;;; End: ***
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304 */