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update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021. In all .txi and .texi files except gpl.txi and gpl.texi in the doc/liboctave and doc/interpreter directories, change the copyright to "Octave Project Developers", the same as used for other source files. Update copyright notices for 2022 (not done since 2019). For gpl.txi and gpl.texi, change the copyright notice to be "Free Software Foundation, Inc." and leave the date at 2007 only because this file only contains the text of the GPL, not anything created by the Octave Project Developers. Add Paul Thomas to contributors.in.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:22:40 -0500
parents 6f07492c9c20
children e88a07dec498
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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26 #if ! defined (octave_lo_specfun_h)
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27 #define octave_lo_specfun_h 1
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28
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29 #include "octave-config.h"
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30
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31 #include "mx-fwd.h"
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32
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33 #include "Array.h"
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34 #include "oct-cmplx.h"
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35
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36 namespace octave
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37 {
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38 namespace math
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39 {
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40 inline double acosh (double x) { return std::acosh (x); }
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41 inline float acosh (float x) { return std::acoshf (x); }
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42 inline Complex acosh (const Complex& x) { return std::acosh (x); }
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43 inline FloatComplex acosh (const FloatComplex& x) { return std::acosh (x); }
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44
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45 extern OCTAVE_API Complex airy (const Complex& z, bool deriv, bool scaled,
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46 octave_idx_type& ierr);
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47 extern OCTAVE_API ComplexMatrix airy (const ComplexMatrix& z, bool deriv,
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48 bool scaled, Array<octave_idx_type>& ierr);
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49 extern OCTAVE_API ComplexNDArray airy (const ComplexNDArray& z, bool deriv,
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50 bool scaled, Array<octave_idx_type>& ierr);
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51 extern OCTAVE_API FloatComplex airy (const FloatComplex& z, bool deriv,
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52 bool scaled, octave_idx_type& ierr);
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53 extern OCTAVE_API FloatComplexMatrix airy (const FloatComplexMatrix& z,
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54 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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55 extern OCTAVE_API FloatComplexNDArray airy (const FloatComplexNDArray& z,
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56 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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57
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58 inline double asinh (double x) { return std::asinh (x); }
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59 inline float asinh (float x) { return std::asinhf (x); }
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60 inline Complex asinh (const Complex& x) { return std::asinh (x); }
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61 inline FloatComplex asinh (const FloatComplex& x) { return std::asinh (x); }
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62
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63 inline double atanh (double x) { return std::atanh (x); }
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64 inline float atanh (float x) { return std::atanhf (x); }
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65 inline Complex atanh (const Complex& x) { return std::atanh (x); }
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66 inline FloatComplex atanh (const FloatComplex& x) { return std::atanh (x); }
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67
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68 extern OCTAVE_API Complex besselj (double alpha, const Complex& x, bool scaled,
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69 octave_idx_type& ierr);
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70 extern OCTAVE_API Complex bessely (double alpha, const Complex& x, bool scaled,
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71 octave_idx_type& ierr);
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72 extern OCTAVE_API Complex besseli (double alpha, const Complex& x, bool scaled,
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73 octave_idx_type& ierr);
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74 extern OCTAVE_API Complex besselk (double alpha, const Complex& x, bool scaled,
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75 octave_idx_type& ierr);
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76 extern OCTAVE_API Complex besselh1 (double alpha, const Complex& x, bool scaled,
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77 octave_idx_type& ierr);
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78 extern OCTAVE_API Complex besselh2 (double alpha, const Complex& x, bool scaled,
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79 octave_idx_type& ierr);
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80
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81 extern OCTAVE_API ComplexMatrix besselj (double alpha, const ComplexMatrix& x,
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82 bool scaled, Array<octave_idx_type>& ierr);
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83 extern OCTAVE_API ComplexMatrix bessely (double alpha, const ComplexMatrix& x,
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84 bool scaled, Array<octave_idx_type>& ierr);
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85 extern OCTAVE_API ComplexMatrix besseli (double alpha, const ComplexMatrix& x,
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86 bool scaled, Array<octave_idx_type>& ierr);
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87 extern OCTAVE_API ComplexMatrix besselk (double alpha, const ComplexMatrix& x,
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88 bool scaled, Array<octave_idx_type>& ierr);
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89 extern OCTAVE_API ComplexMatrix besselh1 (double alpha, const ComplexMatrix& x,
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90 bool scaled, Array<octave_idx_type>& ierr);
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91 extern OCTAVE_API ComplexMatrix besselh2 (double alpha, const ComplexMatrix& x,
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92 bool scaled, Array<octave_idx_type>& ierr);
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93
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94 extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha, const Complex& x,
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95 bool scaled, Array<octave_idx_type>& ierr);
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96 extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha, const Complex& x,
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97 bool scaled, Array<octave_idx_type>& ierr);
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98 extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha, const Complex& x,
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99 bool scaled, Array<octave_idx_type>& ierr);
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100 extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha, const Complex& x,
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101 bool scaled, Array<octave_idx_type>& ierr);
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102 extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha, const Complex& x,
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103 bool scaled, Array<octave_idx_type>& ierr);
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104 extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha, const Complex& x,
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105 bool scaled, Array<octave_idx_type>& ierr);
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106
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107 extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha,
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108 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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109 extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha,
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110 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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111 extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha,
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112 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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113 extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha,
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114 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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115 extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha,
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116 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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117 extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha,
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118 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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119
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120 extern OCTAVE_API ComplexNDArray besselj (double alpha, const ComplexNDArray& x,
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121 bool scaled, Array<octave_idx_type>& ierr);
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122 extern OCTAVE_API ComplexNDArray bessely (double alpha, const ComplexNDArray& x,
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123 bool scaled, Array<octave_idx_type>& ierr);
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124 extern OCTAVE_API ComplexNDArray besseli (double alpha, const ComplexNDArray& x,
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125 bool scaled, Array<octave_idx_type>& ierr);
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126 extern OCTAVE_API ComplexNDArray besselk (double alpha, const ComplexNDArray& x,
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127 bool scaled, Array<octave_idx_type>& ierr);
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128 extern OCTAVE_API ComplexNDArray besselh1 (double alpha,
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129 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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130 extern OCTAVE_API ComplexNDArray besselh2 (double alpha,
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131 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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132
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133 extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha,
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134 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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135 extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha,
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136 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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137 extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha,
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138 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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139 extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha,
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140 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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141 extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha,
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142 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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143 extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha,
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144 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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145
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146 extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha,
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147 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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148 extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha,
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149 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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150 extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha,
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151 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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152 extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha,
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153 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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154 extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha,
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155 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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156 extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha,
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157 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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158
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159 extern OCTAVE_API ComplexMatrix besselj (const RowVector& alpha,
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160 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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161 extern OCTAVE_API ComplexMatrix bessely (const RowVector& alpha,
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162 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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163 extern OCTAVE_API ComplexMatrix besseli (const RowVector& alpha,
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164 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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165 extern OCTAVE_API ComplexMatrix besselk (const RowVector& alpha,
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166 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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167 extern OCTAVE_API ComplexMatrix besselh1 (const RowVector& alpha,
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168 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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169 extern OCTAVE_API ComplexMatrix besselh2 (const RowVector& alpha,
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170 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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171
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172 extern OCTAVE_API FloatComplex besselj (float alpha, const FloatComplex& x,
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173 bool scaled, octave_idx_type& ierr);
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174 extern OCTAVE_API FloatComplex bessely (float alpha, const FloatComplex& x,
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175 bool scaled, octave_idx_type& ierr);
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176 extern OCTAVE_API FloatComplex besseli (float alpha, const FloatComplex& x,
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177 bool scaled, octave_idx_type& ierr);
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178 extern OCTAVE_API FloatComplex besselk (float alpha, const FloatComplex& x,
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179 bool scaled, octave_idx_type& ierr);
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180 extern OCTAVE_API FloatComplex besselh1 (float alpha, const FloatComplex& x,
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181 bool scaled, octave_idx_type& ierr);
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182 extern OCTAVE_API FloatComplex besselh2 (float alpha, const FloatComplex& x,
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183 bool scaled, octave_idx_type& ierr);
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184
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185 extern OCTAVE_API FloatComplexMatrix besselj (float alpha,
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186 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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187 extern OCTAVE_API FloatComplexMatrix bessely (float alpha,
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188 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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189 extern OCTAVE_API FloatComplexMatrix besseli (float alpha,
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190 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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191 extern OCTAVE_API FloatComplexMatrix besselk (float alpha,
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192 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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193 extern OCTAVE_API FloatComplexMatrix besselh1 (float alpha,
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194 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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195 extern OCTAVE_API FloatComplexMatrix besselh2 (float alpha,
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196 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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197
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198 extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha,
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199 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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200 extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha,
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201 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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202 extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha,
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203 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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204 extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha,
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205 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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206 extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha,
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207 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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208 extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha,
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209 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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210
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211 extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha,
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212 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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213 extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha,
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214 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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215 extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha,
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216 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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217 extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha,
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218 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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219 extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha,
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220 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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221 extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha,
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222 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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223
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224 extern OCTAVE_API FloatComplexNDArray besselj (float alpha,
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225 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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226 extern OCTAVE_API FloatComplexNDArray bessely (float alpha,
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227 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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228 extern OCTAVE_API FloatComplexNDArray besseli (float alpha,
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229 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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230 extern OCTAVE_API FloatComplexNDArray besselk (float alpha,
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231 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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232 extern OCTAVE_API FloatComplexNDArray besselh1 (float alpha,
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233 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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234 extern OCTAVE_API FloatComplexNDArray besselh2 (float alpha,
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235 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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236
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237 extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha,
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238 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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239 extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha,
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240 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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241 extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha,
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242 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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243 extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha,
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244 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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245 extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha,
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246 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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247 extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha,
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248 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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249
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250 extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha,
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251 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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252 extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha,
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253 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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254 extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha,
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255 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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256 extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha,
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257 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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258 extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha,
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259 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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260 extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha,
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261 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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262
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263 extern OCTAVE_API FloatComplexMatrix besselj (const FloatRowVector& alpha,
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264 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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265 extern OCTAVE_API FloatComplexMatrix bessely (const FloatRowVector& alpha,
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266 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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267 extern OCTAVE_API FloatComplexMatrix besseli (const FloatRowVector& alpha,
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268 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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269 extern OCTAVE_API FloatComplexMatrix besselk (const FloatRowVector& alpha,
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270 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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271 extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatRowVector& alpha,
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272 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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273 extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatRowVector& alpha,
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274 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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275
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276 extern OCTAVE_API Complex biry (const Complex& z, bool deriv, bool scaled,
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277 octave_idx_type& ierr);
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278 extern OCTAVE_API ComplexMatrix biry (const ComplexMatrix& z, bool deriv,
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279 bool scaled, Array<octave_idx_type>& ierr);
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280 extern OCTAVE_API ComplexNDArray biry (const ComplexNDArray& z, bool deriv,
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281 bool scaled, Array<octave_idx_type>& ierr);
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282 extern OCTAVE_API FloatComplex biry (const FloatComplex& z, bool deriv,
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283 bool scaled, octave_idx_type& ierr);
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284 extern OCTAVE_API FloatComplexMatrix biry (const FloatComplexMatrix& z,
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285 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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286 extern OCTAVE_API FloatComplexNDArray biry (const FloatComplexNDArray& z,
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287 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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288
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289 inline double cbrt (double x) { return std::cbrt (x); }
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290 inline float cbrt (float x) { return std::cbrtf (x); }
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291
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292 extern OCTAVE_API double dawson (double x);
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293 extern OCTAVE_API float dawson (float x);
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294 extern OCTAVE_API Complex dawson (const Complex& x);
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295 extern OCTAVE_API FloatComplex dawson (const FloatComplex& x);
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296
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297 extern OCTAVE_API void ellipj (double u, double m, double& sn, double& cn,
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298 double& dn, double& err);
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299 extern OCTAVE_API void ellipj (const Complex& u, double m, Complex& sn,
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300 Complex& cn, Complex& dn, double& err);
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301
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302 inline double erf (double x) { return std::erf (x); }
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303 inline float erf (float x) { return std::erff (x); }
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304 extern OCTAVE_API Complex erf (const Complex& x);
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305 extern OCTAVE_API FloatComplex erf (const FloatComplex& x);
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306
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307 inline double erfc (double x) { return std::erfc (x); }
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308 inline float erfc (float x) { return std::erfcf (x); }
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309 extern OCTAVE_API Complex erfc (const Complex& x);
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310 extern OCTAVE_API FloatComplex erfc (const FloatComplex& x);
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311
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312 extern OCTAVE_API double erfcinv (double x);
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313 extern OCTAVE_API float erfcinv (float x);
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314
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315 extern OCTAVE_API double erfcx (double x);
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316 extern OCTAVE_API float erfcx (float x);
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317 extern OCTAVE_API Complex erfcx (const Complex& x);
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318 extern OCTAVE_API FloatComplex erfcx (const FloatComplex& x);
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319
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320 extern OCTAVE_API double erfi (double x);
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321 extern OCTAVE_API float erfi (float x);
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322 extern OCTAVE_API Complex erfi (const Complex& x);
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323 extern OCTAVE_API FloatComplex erfi (const FloatComplex& x);
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324
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325 extern OCTAVE_API double erfinv (double x);
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326 extern OCTAVE_API float erfinv (float x);
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327
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328 inline double expm1 (double x) { return std::expm1 (x); }
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329 inline float expm1 (float x) { return std::expm1f (x); }
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330 extern OCTAVE_API Complex expm1 (const Complex& x);
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331 extern OCTAVE_API FloatComplex expm1 (const FloatComplex& x);
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332
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333 extern OCTAVE_API double gamma (double x);
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334 extern OCTAVE_API float gamma (float x);
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335
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336 inline double lgamma (double x) { return std::lgamma (x); }
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337 inline float lgamma (float x) { return std::lgammaf (x); }
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338
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339 inline double log1p (double x) { return std::log1p (x); }
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340 inline float log1p (float x) { return std::log1pf (x); }
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341 extern OCTAVE_API Complex log1p (const Complex& x);
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342 extern OCTAVE_API FloatComplex log1p (const FloatComplex& x);
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343
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344 extern OCTAVE_API double psi (double x);
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345 extern OCTAVE_API float psi (float x);
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346 extern OCTAVE_API Complex psi (const Complex& x);
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347 extern OCTAVE_API FloatComplex psi (const FloatComplex& x);
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348 extern OCTAVE_API double psi (octave_idx_type n, double z);
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349 extern OCTAVE_API float psi (octave_idx_type n, float z);
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350
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351 extern OCTAVE_API Complex rc_lgamma (double x);
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352 extern OCTAVE_API FloatComplex rc_lgamma (float x);
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353
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354 extern OCTAVE_API Complex rc_log1p (double x);
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355 extern OCTAVE_API FloatComplex rc_log1p (float x);
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356 }
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357 }
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358
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359 #endif