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annotate liboctave/numeric/lo-specfun.h @ 17532:578805a293e5

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ellipj: Move numerical code into liboctave * lo-specfun.cc, lo-specfun.h (ellipj): New functions, adapted from Fellipj. * ellipj.cc (Fellipj): Call ellipj. (do_ellipj): Delete.
author Mike Miller <mtmiller@ieee.org>
date Thu, 26 Sep 2013 21:34:26 -0400
parents 2fac72a256ce
children
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1 /*
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2
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3 Copyright (C) 1996-2012 John W. Eaton
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4 Copyright (C) 2010 VZLU Prague
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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24 #if !defined (octave_liboctave_specfun_h)
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25 #define octave_liboctave_specfun_h 1
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26
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27 #include "oct-cmplx.h"
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28 #include "Array.h"
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29
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30 class Matrix;
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31 class ComplexMatrix;
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32 class NDArray;
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33 class ComplexNDArray;
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34 class RowVector;
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35 class ComplexColumnVector;
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36 class FloatMatrix;
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37 class FloatComplexMatrix;
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38 class FloatNDArray;
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39 class FloatComplexNDArray;
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40 class FloatRowVector;
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41 class FloatComplexColumnVector;
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42 class Range;
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43
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44 #if !defined (HAVE_ACOSH)
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45 extern OCTAVE_API double acosh (double);
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46 #endif
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47
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48 #if !defined (HAVE_ASINH)
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49 extern OCTAVE_API double asinh (double);
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50 #endif
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51
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52 #if !defined (HAVE_ATANH)
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53 extern OCTAVE_API double atanh (double);
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54 #endif
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55
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56 #if !defined (HAVE_ERF)
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57 extern OCTAVE_API double erf (double);
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58 #endif
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59 extern OCTAVE_API Complex erf (const Complex& x);
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60 extern OCTAVE_API FloatComplex erf (const FloatComplex& x);
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61
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62 #if !defined (HAVE_ERFC)
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63 extern OCTAVE_API double erfc (double);
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64 #endif
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65 extern OCTAVE_API Complex erfc (const Complex& x);
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66 extern OCTAVE_API FloatComplex erfc (const FloatComplex& x);
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67
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68 #if !defined (HAVE_ACOSHF)
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69 extern OCTAVE_API float acoshf (float);
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70 #endif
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71
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72 #if !defined (HAVE_ASINHF)
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73 extern OCTAVE_API float asinhf (float);
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74 #endif
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75
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76 #if !defined (HAVE_ATANHF)
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77 extern OCTAVE_API float atanhf (float);
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78 #endif
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79
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80 #if !defined (HAVE_ERFF)
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81 extern OCTAVE_API float erff (float);
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82 #endif
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83
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84 #if !defined (HAVE_ERFCF)
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85 extern OCTAVE_API float erfcf (float);
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86 #endif
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87
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88 #if !defined (HAVE_EXPM1)
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89 extern OCTAVE_API double expm1 (double x);
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90 #endif
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91 extern OCTAVE_API Complex expm1 (const Complex& x);
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92
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93 #if !defined (HAVE_EXPM1F)
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94 extern OCTAVE_API float expm1f (float x);
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95 #endif
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96 extern OCTAVE_API FloatComplex expm1 (const FloatComplex& x);
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97
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98 #if !defined (HAVE_LOG1P)
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99 extern OCTAVE_API double log1p (double x);
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100 #endif
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101 extern OCTAVE_API Complex log1p (const Complex& x);
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102
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103 #if !defined (HAVE_LOG1PF)
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104 extern OCTAVE_API float log1pf (float x);
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105 #endif
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106 extern OCTAVE_API FloatComplex log1p (const FloatComplex& x);
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107
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108 #if !defined (HAVE_CBRT)
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109 extern OCTAVE_API double cbrt (double x);
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110 #endif
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111
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112 #if !defined (HAVE_CBRTF)
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113 extern OCTAVE_API float cbrtf (float x);
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114 #endif
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115
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116 extern OCTAVE_API double xgamma (double x);
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117 extern OCTAVE_API double xlgamma (double x);
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118 extern OCTAVE_API Complex rc_lgamma (double x);
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119
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120 extern OCTAVE_API float xgamma (float x);
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121 extern OCTAVE_API float xlgamma (float x);
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122 extern OCTAVE_API FloatComplex rc_lgamma (float x);
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123
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124 extern OCTAVE_API Complex
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125 besselj (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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126
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127 extern OCTAVE_API Complex
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128 bessely (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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129
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130 extern OCTAVE_API Complex
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131 besseli (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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132
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133 extern OCTAVE_API Complex
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134 besselk (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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135
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136 extern OCTAVE_API Complex
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137 besselh1 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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138
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139 extern OCTAVE_API Complex
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140 besselh2 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr);
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141
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142 extern OCTAVE_API ComplexMatrix
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143 besselj (double alpha, const ComplexMatrix& x, bool scaled,
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144 Array<octave_idx_type>& ierr);
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145
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146 extern OCTAVE_API ComplexMatrix
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147 bessely (double alpha, const ComplexMatrix& x, bool scaled,
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148 Array<octave_idx_type>& ierr);
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149
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150 extern OCTAVE_API ComplexMatrix
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151 besseli (double alpha, const ComplexMatrix& x, bool scaled,
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152 Array<octave_idx_type>& ierr);
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153
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154 extern OCTAVE_API ComplexMatrix
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155 besselk (double alpha, const ComplexMatrix& x, bool scaled,
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156 Array<octave_idx_type>& ierr);
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157
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158 extern OCTAVE_API ComplexMatrix
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159 besselh1 (double alpha, const ComplexMatrix& x, bool scaled,
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160 Array<octave_idx_type>& ierr);
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161
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162 extern OCTAVE_API ComplexMatrix
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163 besselh2 (double alpha, const ComplexMatrix& x, bool scaled,
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164 Array<octave_idx_type>& ierr);
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165
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166 extern OCTAVE_API ComplexMatrix
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167 besselj (const Matrix& alpha, const Complex& x, bool scaled,
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168 Array<octave_idx_type>& ierr);
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169
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170 extern OCTAVE_API ComplexMatrix
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171 bessely (const Matrix& alpha, const Complex& x, bool scaled,
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172 Array<octave_idx_type>& ierr);
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173
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174 extern OCTAVE_API ComplexMatrix
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175 besseli (const Matrix& alpha, const Complex& x, bool scaled,
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176 Array<octave_idx_type>& ierr);
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177
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178 extern OCTAVE_API ComplexMatrix
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179 besselk (const Matrix& alpha, const Complex& x, bool scaled,
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180 Array<octave_idx_type>& ierr);
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181
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182 extern OCTAVE_API ComplexMatrix
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183 besselh1 (const Matrix& alpha, const Complex& x, bool scaled,
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184 Array<octave_idx_type>& ierr);
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185
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186 extern OCTAVE_API ComplexMatrix
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187 besselh2 (const Matrix& alpha, const Complex& x, bool scaled,
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188 Array<octave_idx_type>& ierr);
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189
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190 extern OCTAVE_API ComplexMatrix
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191 besselj (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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192 Array<octave_idx_type>& ierr);
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193
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194 extern OCTAVE_API ComplexMatrix
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195 bessely (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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196 Array<octave_idx_type>& ierr);
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197
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198 extern OCTAVE_API ComplexMatrix
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199 besseli (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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200 Array<octave_idx_type>& ierr);
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201
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202 extern OCTAVE_API ComplexMatrix
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203 besselk (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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204 Array<octave_idx_type>& ierr);
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205
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206 extern OCTAVE_API ComplexMatrix
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207 besselh1 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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208 Array<octave_idx_type>& ierr);
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209
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210 extern OCTAVE_API ComplexMatrix
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211 besselh2 (const Matrix& alpha, const ComplexMatrix& x, bool scaled,
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212 Array<octave_idx_type>& ierr);
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213
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214 extern OCTAVE_API ComplexNDArray
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215 besselj (double alpha, const ComplexNDArray& x, bool scaled,
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216 Array<octave_idx_type>& ierr);
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217
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218 extern OCTAVE_API ComplexNDArray
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219 bessely (double alpha, const ComplexNDArray& x, bool scaled,
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220 Array<octave_idx_type>& ierr);
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221
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222 extern OCTAVE_API ComplexNDArray
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223 besseli (double alpha, const ComplexNDArray& x, bool scaled,
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224 Array<octave_idx_type>& ierr);
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225
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226 extern OCTAVE_API ComplexNDArray
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227 besselk (double alpha, const ComplexNDArray& x, bool scaled,
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228 Array<octave_idx_type>& ierr);
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229
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230 extern OCTAVE_API ComplexNDArray
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231 besselh1 (double alpha, const ComplexNDArray& x, bool scaled,
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232 Array<octave_idx_type>& ierr);
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233
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234 extern OCTAVE_API ComplexNDArray
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235 besselh2 (double alpha, const ComplexNDArray& x, bool scaled,
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236 Array<octave_idx_type>& ierr);
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237
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238 extern OCTAVE_API ComplexNDArray
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239 besselj (const NDArray& alpha, const Complex& x, bool scaled,
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240 Array<octave_idx_type>& ierr);
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241
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242 extern OCTAVE_API ComplexNDArray
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243 bessely (const NDArray& alpha, const Complex& x, bool scaled,
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244 Array<octave_idx_type>& ierr);
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245
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246 extern OCTAVE_API ComplexNDArray
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247 besseli (const NDArray& alpha, const Complex& x, bool scaled,
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248 Array<octave_idx_type>& ierr);
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249
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250 extern OCTAVE_API ComplexNDArray
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251 besselk (const NDArray& alpha, const Complex& x, bool scaled,
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252 Array<octave_idx_type>& ierr);
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253
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254 extern OCTAVE_API ComplexNDArray
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255 besselh1 (const NDArray& alpha, const Complex& x, bool scaled,
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256 Array<octave_idx_type>& ierr);
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257
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258 extern OCTAVE_API ComplexNDArray
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259 besselh2 (const NDArray& alpha, const Complex& x, bool scaled,
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260 Array<octave_idx_type>& ierr);
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261
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262 extern OCTAVE_API ComplexNDArray
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263 besselj (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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264 Array<octave_idx_type>& ierr);
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265
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266 extern OCTAVE_API ComplexNDArray
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267 bessely (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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268 Array<octave_idx_type>& ierr);
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269
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270 extern OCTAVE_API ComplexNDArray
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271 besseli (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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272 Array<octave_idx_type>& ierr);
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273
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274 extern OCTAVE_API ComplexNDArray
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275 besselk (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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276 Array<octave_idx_type>& ierr);
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277
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278 extern OCTAVE_API ComplexNDArray
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279 besselh1 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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280 Array<octave_idx_type>& ierr);
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281
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282 extern OCTAVE_API ComplexNDArray
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283 besselh2 (const NDArray& alpha, const ComplexNDArray& x, bool scaled,
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284 Array<octave_idx_type>& ierr);
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285
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286 extern OCTAVE_API ComplexMatrix
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287 besselj (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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288 Array<octave_idx_type>& ierr);
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289
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290 extern OCTAVE_API ComplexMatrix
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291 bessely (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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292 Array<octave_idx_type>& ierr);
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293
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294 extern OCTAVE_API ComplexMatrix
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295 besseli (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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296 Array<octave_idx_type>& ierr);
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297
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298 extern OCTAVE_API ComplexMatrix
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299 besselk (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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300 Array<octave_idx_type>& ierr);
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301
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302 extern OCTAVE_API ComplexMatrix
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303 besselh1 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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304 Array<octave_idx_type>& ierr);
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305
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306 extern OCTAVE_API ComplexMatrix
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307 besselh2 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled,
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308 Array<octave_idx_type>& ierr);
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309
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310 extern OCTAVE_API FloatComplex
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311 besselj (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr);
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312
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313 extern OCTAVE_API FloatComplex
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314 bessely (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr);
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315
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316 extern OCTAVE_API FloatComplex
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317 besseli (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr);
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318
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319 extern OCTAVE_API FloatComplex
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320 besselk (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr);
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321
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322 extern OCTAVE_API FloatComplex
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323 besselh1 (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr);
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324
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325 extern OCTAVE_API FloatComplex
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326 besselh2 (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr);
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327
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328 extern OCTAVE_API FloatComplexMatrix
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329 besselj (float alpha, const FloatComplexMatrix& x, bool scaled,
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330 Array<octave_idx_type>& ierr);
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331
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332 extern OCTAVE_API FloatComplexMatrix
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333 bessely (float alpha, const FloatComplexMatrix& x, bool scaled,
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334 Array<octave_idx_type>& ierr);
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335
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336 extern OCTAVE_API FloatComplexMatrix
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337 besseli (float alpha, const FloatComplexMatrix& x, bool scaled,
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338 Array<octave_idx_type>& ierr);
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339
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340 extern OCTAVE_API FloatComplexMatrix
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341 besselk (float alpha, const FloatComplexMatrix& x, bool scaled,
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342 Array<octave_idx_type>& ierr);
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343
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344 extern OCTAVE_API FloatComplexMatrix
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345 besselh1 (float alpha, const FloatComplexMatrix& x, bool scaled,
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346 Array<octave_idx_type>& ierr);
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347
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348 extern OCTAVE_API FloatComplexMatrix
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349 besselh2 (float alpha, const FloatComplexMatrix& x, bool scaled,
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350 Array<octave_idx_type>& ierr);
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351
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352 extern OCTAVE_API FloatComplexMatrix
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353 besselj (const FloatMatrix& alpha, const FloatComplex& x, bool scaled,
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354 Array<octave_idx_type>& ierr);
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355
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356 extern OCTAVE_API FloatComplexMatrix
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357 bessely (const FloatMatrix& alpha, const FloatComplex& x, bool scaled,
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358 Array<octave_idx_type>& ierr);
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359
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360 extern OCTAVE_API FloatComplexMatrix
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361 besseli (const FloatMatrix& alpha, const FloatComplex& x, bool scaled,
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362 Array<octave_idx_type>& ierr);
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363
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364 extern OCTAVE_API FloatComplexMatrix
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365 besselk (const FloatMatrix& alpha, const FloatComplex& x, bool scaled,
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366 Array<octave_idx_type>& ierr);
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367
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368 extern OCTAVE_API FloatComplexMatrix
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369 besselh1 (const FloatMatrix& alpha, const FloatComplex& x, bool scaled,
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370 Array<octave_idx_type>& ierr);
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371
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372 extern OCTAVE_API FloatComplexMatrix
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373 besselh2 (const FloatMatrix& alpha, const FloatComplex& x, bool scaled,
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374 Array<octave_idx_type>& ierr);
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375
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376 extern OCTAVE_API FloatComplexMatrix
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377 besselj (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled,
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378 Array<octave_idx_type>& ierr);
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379
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380 extern OCTAVE_API FloatComplexMatrix
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381 bessely (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled,
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382 Array<octave_idx_type>& ierr);
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383
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384 extern OCTAVE_API FloatComplexMatrix
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385 besseli (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled,
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386 Array<octave_idx_type>& ierr);
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387
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388 extern OCTAVE_API FloatComplexMatrix
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389 besselk (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled,
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390 Array<octave_idx_type>& ierr);
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391
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392 extern OCTAVE_API FloatComplexMatrix
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393 besselh1 (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled,
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394 Array<octave_idx_type>& ierr);
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395
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396 extern OCTAVE_API FloatComplexMatrix
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397 besselh2 (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled,
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398 Array<octave_idx_type>& ierr);
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399
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400 extern OCTAVE_API FloatComplexNDArray
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401 besselj (float alpha, const FloatComplexNDArray& x, bool scaled,
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402 Array<octave_idx_type>& ierr);
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403
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404 extern OCTAVE_API FloatComplexNDArray
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405 bessely (float alpha, const FloatComplexNDArray& x, bool scaled,
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406 Array<octave_idx_type>& ierr);
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407
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408 extern OCTAVE_API FloatComplexNDArray
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409 besseli (float alpha, const FloatComplexNDArray& x, bool scaled,
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410 Array<octave_idx_type>& ierr);
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411
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412 extern OCTAVE_API FloatComplexNDArray
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413 besselk (float alpha, const FloatComplexNDArray& x, bool scaled,
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414 Array<octave_idx_type>& ierr);
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415
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416 extern OCTAVE_API FloatComplexNDArray
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417 besselh1 (float alpha, const FloatComplexNDArray& x, bool scaled,
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418 Array<octave_idx_type>& ierr);
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419
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420 extern OCTAVE_API FloatComplexNDArray
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421 besselh2 (float alpha, const FloatComplexNDArray& x, bool scaled,
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422 Array<octave_idx_type>& ierr);
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423
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424 extern OCTAVE_API FloatComplexNDArray
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425 besselj (const FloatNDArray& alpha, const FloatComplex& x, bool scaled,
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426 Array<octave_idx_type>& ierr);
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427
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428 extern OCTAVE_API FloatComplexNDArray
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429 bessely (const FloatNDArray& alpha, const FloatComplex& x, bool scaled,
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430 Array<octave_idx_type>& ierr);
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431
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432 extern OCTAVE_API FloatComplexNDArray
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433 besseli (const FloatNDArray& alpha, const FloatComplex& x, bool scaled,
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434 Array<octave_idx_type>& ierr);
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435
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436 extern OCTAVE_API FloatComplexNDArray
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437 besselk (const FloatNDArray& alpha, const FloatComplex& x, bool scaled,
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John W. Eaton <jwe@octave.org>
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438 Array<octave_idx_type>& ierr);
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439
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440 extern OCTAVE_API FloatComplexNDArray
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parents: 7638
diff changeset
441 besselh1 (const FloatNDArray& alpha, const FloatComplex& x, bool scaled,
10312
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442 Array<octave_idx_type>& ierr);
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443
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diff changeset
444 extern OCTAVE_API FloatComplexNDArray
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diff changeset
445 besselh2 (const FloatNDArray& alpha, const FloatComplex& x, bool scaled,
10312
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446 Array<octave_idx_type>& ierr);
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diff changeset
447
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448 extern OCTAVE_API FloatComplexNDArray
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449 besselj (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled,
10312
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450 Array<octave_idx_type>& ierr);
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451
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452 extern OCTAVE_API FloatComplexNDArray
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diff changeset
453 bessely (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled,
10312
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parents: 10158
diff changeset
454 Array<octave_idx_type>& ierr);
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455
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diff changeset
456 extern OCTAVE_API FloatComplexNDArray
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David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
457 besseli (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled,
10312
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parents: 10158
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458 Array<octave_idx_type>& ierr);
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459
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diff changeset
460 extern OCTAVE_API FloatComplexNDArray
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parents: 7638
diff changeset
461 besselk (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled,
10312
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462 Array<octave_idx_type>& ierr);
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463
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David Bateman <dbateman@free.fr>
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diff changeset
464 extern OCTAVE_API FloatComplexNDArray
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parents: 7638
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465 besselh1 (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled,
10312
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466 Array<octave_idx_type>& ierr);
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467
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diff changeset
468 extern OCTAVE_API FloatComplexNDArray
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parents: 7638
diff changeset
469 besselh2 (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled,
10312
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parents: 10158
diff changeset
470 Array<octave_idx_type>& ierr);
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diff changeset
471
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472 extern OCTAVE_API FloatComplexMatrix
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473 besselj (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled,
10352
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diff changeset
474 Array<octave_idx_type>& ierr);
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475
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476 extern OCTAVE_API FloatComplexMatrix
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diff changeset
477 bessely (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled,
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diff changeset
478 Array<octave_idx_type>& ierr);
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diff changeset
479
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480 extern OCTAVE_API FloatComplexMatrix
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parents: 7638
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481 besseli (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled,
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482 Array<octave_idx_type>& ierr);
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483
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parents: 7638
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484 extern OCTAVE_API FloatComplexMatrix
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David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
485 besselk (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled,
10352
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Jaroslav Hajek <highegg@gmail.com>
parents: 10312
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486 Array<octave_idx_type>& ierr);
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487
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parents: 7638
diff changeset
488 extern OCTAVE_API FloatComplexMatrix
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parents: 7638
diff changeset
489 besselh1 (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled,
10352
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parents: 10312
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490 Array<octave_idx_type>& ierr);
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491
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David Bateman <dbateman@free.fr>
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diff changeset
492 extern OCTAVE_API FloatComplexMatrix
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parents: 7638
diff changeset
493 besselh2 (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled,
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parents: 10312
diff changeset
494 Array<octave_idx_type>& ierr);
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495
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496 extern OCTAVE_API Complex airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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497 extern OCTAVE_API Complex biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr);
3220
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diff changeset
498
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diff changeset
499 extern OCTAVE_API ComplexMatrix
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Jaroslav Hajek <highegg@gmail.com>
parents: 10312
diff changeset
500 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
3220
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jwe
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diff changeset
501
6108
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diff changeset
502 extern OCTAVE_API ComplexMatrix
10352
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Jaroslav Hajek <highegg@gmail.com>
parents: 10312
diff changeset
503 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
3146
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diff changeset
504
6108
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jwe
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505 extern OCTAVE_API ComplexNDArray
9732
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Jaroslav Hajek <highegg@gmail.com>
parents: 9648
diff changeset
506 airy (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
4844
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parents: 4004
diff changeset
507
6108
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parents: 5307
diff changeset
508 extern OCTAVE_API ComplexNDArray
9732
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Jaroslav Hajek <highegg@gmail.com>
parents: 9648
diff changeset
509 biry (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
4844
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diff changeset
510
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diff changeset
511 extern OCTAVE_API FloatComplex airy (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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David Bateman <dbateman@free.fr>
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diff changeset
512 extern OCTAVE_API FloatComplex biry (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr);
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David Bateman <dbateman@free.fr>
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diff changeset
513
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff changeset
514 extern OCTAVE_API FloatComplexMatrix
10352
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Jaroslav Hajek <highegg@gmail.com>
parents: 10312
diff changeset
515 airy (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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516
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diff changeset
517 extern OCTAVE_API FloatComplexMatrix
10352
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Jaroslav Hajek <highegg@gmail.com>
parents: 10312
diff changeset
518 biry (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
7789
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diff changeset
519
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David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
520 extern OCTAVE_API FloatComplexNDArray
9732
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Jaroslav Hajek <highegg@gmail.com>
parents: 9648
diff changeset
521 airy (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
7789
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diff changeset
522
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
523 extern OCTAVE_API FloatComplexNDArray
9732
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Jaroslav Hajek <highegg@gmail.com>
parents: 9648
diff changeset
524 biry (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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diff changeset
525
6108
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parents: 5307
diff changeset
526 extern OCTAVE_API double betainc (double x, double a, double b);
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
527 extern OCTAVE_API Array<double> betainc (double x, double a, const Array<double>& b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
528 extern OCTAVE_API Array<double> betainc (double x, const Array<double>& a, double b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
529 extern OCTAVE_API Array<double> betainc (double x, const Array<double>& a, const Array<double>& b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
530 extern OCTAVE_API Array<double> betainc (const Array<double>& x, double a, double b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
531 extern OCTAVE_API Array<double> betainc (const Array<double>& x, double a, double b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
532 extern OCTAVE_API Array<double> betainc (const Array<double>& x, double a, const Array<double>& b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
533 extern OCTAVE_API Array<double> betainc (const Array<double>& x, const Array<double>& a, double b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
534 extern OCTAVE_API Array<double> betainc (const Array<double>& x, const Array<double>& a, const Array<double>& b);
4844
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jwe
parents: 4004
diff changeset
535
7789
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David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
536 extern OCTAVE_API float betainc (float x, float a, float b);
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
537 extern OCTAVE_API Array<float> betainc (float x, float a, const Array<float>& b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
538 extern OCTAVE_API Array<float> betainc (float x, const Array<float>& a, float b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
539 extern OCTAVE_API Array<float> betainc (float x, const Array<float>& a, const Array<float>& b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
540 extern OCTAVE_API Array<float> betainc (const Array<float>& x, float a, float b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
541 extern OCTAVE_API Array<float> betainc (const Array<float>& x, float a, float b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
542 extern OCTAVE_API Array<float> betainc (const Array<float>& x, float a, const Array<float>& b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
543 extern OCTAVE_API Array<float> betainc (const Array<float>& x, const Array<float>& a, float b);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
544 extern OCTAVE_API Array<float> betainc (const Array<float>& x, const Array<float>& a, const Array<float>& b);
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David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
545
6108
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jwe
parents: 5307
diff changeset
546 extern OCTAVE_API double gammainc (double x, double a, bool& err);
143b556ce725 [project @ 2006-10-27 01:45:54 by jwe]
jwe
parents: 5307
diff changeset
547 extern OCTAVE_API Matrix gammainc (double x, const Matrix& a);
143b556ce725 [project @ 2006-10-27 01:45:54 by jwe]
jwe
parents: 5307
diff changeset
548 extern OCTAVE_API Matrix gammainc (const Matrix& x, double a);
143b556ce725 [project @ 2006-10-27 01:45:54 by jwe]
jwe
parents: 5307
diff changeset
549 extern OCTAVE_API Matrix gammainc (const Matrix& x, const Matrix& a);
3146
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jwe
parents:
diff changeset
550
6108
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parents: 5307
diff changeset
551 extern OCTAVE_API NDArray gammainc (double x, const NDArray& a);
143b556ce725 [project @ 2006-10-27 01:45:54 by jwe]
jwe
parents: 5307
diff changeset
552 extern OCTAVE_API NDArray gammainc (const NDArray& x, double a);
143b556ce725 [project @ 2006-10-27 01:45:54 by jwe]
jwe
parents: 5307
diff changeset
553 extern OCTAVE_API NDArray gammainc (const NDArray& x, const NDArray& a);
4844
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jwe
parents: 4004
diff changeset
554
4004
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parents: 3220
diff changeset
555 inline double gammainc (double x, double a)
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3220
diff changeset
556 {
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3220
diff changeset
557 bool err;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3220
diff changeset
558 return gammainc (x, a, err);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3220
diff changeset
559 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3220
diff changeset
560
7789
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parents: 7638
diff changeset
561 extern OCTAVE_API float gammainc (float x, float a, bool& err);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
562 extern OCTAVE_API FloatMatrix gammainc (float x, const FloatMatrix& a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
563 extern OCTAVE_API FloatMatrix gammainc (const FloatMatrix& x, float a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
564 extern OCTAVE_API FloatMatrix gammainc (const FloatMatrix& x, const FloatMatrix& a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
565
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
566 extern OCTAVE_API FloatNDArray gammainc (float x, const FloatNDArray& a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
567 extern OCTAVE_API FloatNDArray gammainc (const FloatNDArray& x, float a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
568 extern OCTAVE_API FloatNDArray gammainc (const FloatNDArray& x, const FloatNDArray& a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
569
82be108cc558 First attempt at single precision tyeps
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parents: 7638
diff changeset
570 inline float gammainc (float x, float a)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
571 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
572 bool err;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
573 return gammainc (x, a, err);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
574 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
575
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
576 extern OCTAVE_API Complex rc_log1p (double);
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
577 extern OCTAVE_API FloatComplex rc_log1p (float);
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
578
9835
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
579 extern OCTAVE_API double erfinv (double x);
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
580 extern OCTAVE_API float erfinv (float x);
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
581
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14138
diff changeset
582 extern OCTAVE_API double erfcinv (double x);
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14138
diff changeset
583 extern OCTAVE_API float erfcinv (float x);
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14138
diff changeset
584
15696
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
585 extern OCTAVE_API float erfcx (float x);
10391
59e34bcdff13 implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents: 10352
diff changeset
586 extern OCTAVE_API double erfcx (double x);
15696
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
587 extern OCTAVE_API Complex erfcx (const Complex& x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
588 extern OCTAVE_API FloatComplex erfcx (const FloatComplex& x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
589
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
590 extern OCTAVE_API float erfi (float x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
591 extern OCTAVE_API double erfi (double x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
592 extern OCTAVE_API Complex erfi (const Complex& x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
593 extern OCTAVE_API FloatComplex erfi (const FloatComplex& x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
594
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
595 extern OCTAVE_API float dawson (float x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
596 extern OCTAVE_API double dawson (double x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
597 extern OCTAVE_API Complex dawson (const Complex& x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
598 extern OCTAVE_API FloatComplex dawson (const FloatComplex& x);
10391
59e34bcdff13 implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents: 10352
diff changeset
599
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
600 extern OCTAVE_API double betaincinv (double x, double a, double b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
601 extern OCTAVE_API Array<double> betaincinv (double x, double a, const Array<double>& b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
602 extern OCTAVE_API Array<double> betaincinv (double x, const Array<double>& a, double b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
603 extern OCTAVE_API Array<double> betaincinv (double x, const Array<double>& a, const Array<double>& b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
604 extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, double a, double b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
605 extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, double a, double b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
606 extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, double a, const Array<double>& b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
607 extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, const Array<double>& a, double b);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
608 extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, const Array<double>& a, const Array<double>& b);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
609
17532
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15696
diff changeset
610 extern OCTAVE_API void ellipj (double u, double m, double& sn, double& cn, double& dn, double& err);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15696
diff changeset
611 extern OCTAVE_API void ellipj (const Complex& u, double m, Complex& sn, Complex& cn, Complex& dn, double& err);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15696
diff changeset
612
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
613 #endif