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annotate liboctave/lo-specfun.h @ 6021:60f9ced8ab53 ss-2-9-9

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[project @ 2006-10-02 20:02:20 by jwe]
author jwe
date Mon, 02 Oct 2006 20:02:21 +0000
parents 4c8a2e4e0717
children 143b556ce725
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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
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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9 Free Software Foundation; either version 2, or (at your option) any
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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10 later version.
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11
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, write to the Free
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19 Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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20 02110-1301, USA.
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21
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22 */
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23
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 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 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 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 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 double erfc (double);
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58 #endif
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59
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60 extern double xgamma (double x);
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61 extern double xlgamma (double x);
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62
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63 extern Complex
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64 besselj (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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65
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66 extern Complex
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67 bessely (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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68
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69 extern Complex
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70 besseli (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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71
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72 extern Complex
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73 besselk (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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74
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75 extern Complex
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76 besselh1 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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77
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78 extern Complex
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79 besselh2 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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80
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81 extern ComplexMatrix
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82 besselj (double alpha, const ComplexMatrix& x, bool scaled,
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83 Array2<octave_idx_type>& ierr);
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84
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85 extern ComplexMatrix
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86 bessely (double alpha, const ComplexMatrix& x, bool scaled,
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87 Array2<octave_idx_type>& ierr);
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88
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89 extern ComplexMatrix
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90 besseli (double alpha, const ComplexMatrix& x, bool scaled,
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91 Array2<octave_idx_type>& ierr);
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92
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93 extern ComplexMatrix
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94 besselk (double alpha, const ComplexMatrix& x, bool scaled,
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95 Array2<octave_idx_type>& ierr);
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96
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97 extern ComplexMatrix
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98 besselh1 (double alpha, const ComplexMatrix& x, bool scaled,
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99 Array2<octave_idx_type>& ierr);
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100
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101 extern ComplexMatrix
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102 besselh2 (double alpha, const ComplexMatrix& x, bool scaled,
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103 Array2<octave_idx_type>& ierr);
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104
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105 extern ComplexMatrix
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106 besselj (const Matrix& alpha, const Complex& x, bool scaled,
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107 Array2<octave_idx_type>& ierr);
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108
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109 extern ComplexMatrix
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110 bessely (const Matrix& alpha, const Complex& x, bool scaled,
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111 Array2<octave_idx_type>& ierr);
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112
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113 extern ComplexMatrix
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114 besseli (const Matrix& alpha, const Complex& x, bool scaled,
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115 Array2<octave_idx_type>& ierr);
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116
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117 extern ComplexMatrix
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118 besselk (const Matrix& alpha, const Complex& x, bool scaled,
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119 Array2<octave_idx_type>& ierr);
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120
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121 extern ComplexMatrix
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122 besselh1 (const Matrix& alpha, const Complex& x, bool scaled,
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123 Array2<octave_idx_type>& ierr);
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124
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125 extern ComplexMatrix
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126 besselh2 (const Matrix& alpha, const Complex& x, bool scaled,
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127 Array2<octave_idx_type>& ierr);
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128
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129 extern ComplexMatrix
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130 besselj (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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131 Array2<octave_idx_type>& ierr);
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132
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133 extern ComplexMatrix
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134 bessely (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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135 Array2<octave_idx_type>& ierr);
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136
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137 extern ComplexMatrix
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138 besseli (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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139 Array2<octave_idx_type>& ierr);
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140
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141 extern ComplexMatrix
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142 besselk (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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143 Array2<octave_idx_type>& ierr);
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144
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145 extern ComplexMatrix
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146 besselh1 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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147 Array2<octave_idx_type>& ierr);
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148
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149 extern ComplexMatrix
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150 besselh2 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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151 Array2<octave_idx_type>& ierr);
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152
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153 extern ComplexNDArray
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154 besselj (double alpha, const ComplexNDArray& x, bool scaled,
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155 ArrayN<octave_idx_type>& ierr);
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156
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157 extern ComplexNDArray
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158 bessely (double alpha, const ComplexNDArray& x, bool scaled,
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159 ArrayN<octave_idx_type>& ierr);
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160
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161 extern ComplexNDArray
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162 besseli (double alpha, const ComplexNDArray& x, bool scaled,
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163 ArrayN<octave_idx_type>& ierr);
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164
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165 extern ComplexNDArray
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166 besselk (double alpha, const ComplexNDArray& x, bool scaled,
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167 ArrayN<octave_idx_type>& ierr);
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168
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169 extern ComplexNDArray
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170 besselh1 (double alpha, const ComplexNDArray& x, bool scaled,
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171 ArrayN<octave_idx_type>& ierr);
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172
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173 extern ComplexNDArray
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174 besselh2 (double alpha, const ComplexNDArray& x, bool scaled,
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175 ArrayN<octave_idx_type>& ierr);
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176
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177 extern ComplexNDArray
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178 besselj (const NDArray& alpha, const Complex& x, bool scaled,
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179 ArrayN<octave_idx_type>& ierr);
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180
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181 extern ComplexNDArray
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182 bessely (const NDArray& alpha, const Complex& x, bool scaled,
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183 ArrayN<octave_idx_type>& ierr);
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184
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185 extern ComplexNDArray
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186 besseli (const NDArray& alpha, const Complex& x, bool scaled,
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187 ArrayN<octave_idx_type>& ierr);
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188
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189 extern ComplexNDArray
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190 besselk (const NDArray& alpha, const Complex& x, bool scaled,
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191 ArrayN<octave_idx_type>& ierr);
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192
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193 extern ComplexNDArray
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194 besselh1 (const NDArray& alpha, const Complex& x, bool scaled,
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195 ArrayN<octave_idx_type>& ierr);
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196
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197 extern ComplexNDArray
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198 besselh2 (const NDArray& alpha, const Complex& x, bool scaled,
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199 ArrayN<octave_idx_type>& ierr);
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200
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201 extern ComplexNDArray
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202 besselj (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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203 ArrayN<octave_idx_type>& ierr);
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204
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205 extern ComplexNDArray
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206 bessely (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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207 ArrayN<octave_idx_type>& ierr);
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208
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209 extern ComplexNDArray
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210 besseli (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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211 ArrayN<octave_idx_type>& ierr);
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212
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213 extern ComplexNDArray
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214 besselk (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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215 ArrayN<octave_idx_type>& ierr);
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216
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217 extern ComplexNDArray
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218 besselh1 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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219 ArrayN<octave_idx_type>& ierr);
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220
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221 extern ComplexNDArray
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222 besselh2 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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223 ArrayN<octave_idx_type>& ierr);
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224
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225 extern ComplexMatrix
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226 besselj (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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227 Array2<octave_idx_type>& ierr);
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228
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229 extern ComplexMatrix
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230 bessely (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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231 Array2<octave_idx_type>& ierr);
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232
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233 extern ComplexMatrix
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234 besseli (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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235 Array2<octave_idx_type>& ierr);
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236
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237 extern ComplexMatrix
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238 besselk (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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239 Array2<octave_idx_type>& ierr);
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240
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241 extern ComplexMatrix
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242 besselh1 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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243 Array2<octave_idx_type>& ierr);
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244
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245 extern ComplexMatrix
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246 besselh2 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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247 Array2<octave_idx_type>& ierr);
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248
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249 extern Complex airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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250 extern Complex biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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251
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252 extern ComplexMatrix
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253 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr);
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254
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255 extern ComplexMatrix
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256 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr);
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257
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258 extern ComplexNDArray
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259 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr);
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260
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261 extern ComplexNDArray
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262 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr);
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263
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264 extern double betainc (double x, double a, double b);
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265 extern Matrix betainc (double x, double a, const Matrix& b);
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266 extern Matrix betainc (double x, const Matrix& a, double b);
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267 extern Matrix betainc (double x, const Matrix& a, const Matrix& b);
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268
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269 extern NDArray betainc (double x, double a, const NDArray& b);
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270 extern NDArray betainc (double x, const NDArray& a, double b);
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271 extern NDArray betainc (double x, const NDArray& a, const NDArray& b);
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272
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273 extern Matrix betainc (const Matrix& x, double a, double b);
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274 extern Matrix betainc (const Matrix& x, double a, const Matrix& b);
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275 extern Matrix betainc (const Matrix& x, const Matrix& a, double b);
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276 extern Matrix betainc (const Matrix& x, const Matrix& a, const Matrix& b);
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277
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278 extern NDArray betainc (const NDArray& x, double a, double b);
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279 extern NDArray betainc (const NDArray& x, double a, const NDArray& b);
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280 extern NDArray betainc (const NDArray& x, const NDArray& a, double b);
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281 extern NDArray betainc (const NDArray& x, const NDArray& a, const NDArray& b);
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282
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283 extern double gammainc (double x, double a, bool& err);
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284 extern Matrix gammainc (double x, const Matrix& a);
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285 extern Matrix gammainc (const Matrix& x, double a);
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286 extern Matrix gammainc (const Matrix& x, const Matrix& a);
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287
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288 extern NDArray gammainc (double x, const NDArray& a);
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289 extern NDArray gammainc (const NDArray& x, double a);
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290 extern NDArray gammainc (const NDArray& x, const NDArray& a);
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291
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292 inline double gammainc (double x, double a)
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293 {
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294 bool err;
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295 return gammainc (x, a, err);
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296 }
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297
3146
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298 #endif
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299
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300 /*
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301 ;;; Local Variables: ***
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302 ;;; mode: C ***
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303 ;;; page-delimiter: "^/\\*" ***
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304 ;;; End: ***
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305 */