annotate liboctave/numeric/lo-specfun.cc @ 19410:95c533ed464b

use warning IDs for all warnings in liboctave * CSparse.cc, MatrixType.cc, Sparse.cc, dSparse.cc, dbleQR.cc, eigs-base.cc, lo-specfun.cc, cmd-hist.cc, data-conv.cc, kpse.cc, lo-regexp.cc, oct-locbuf.cc, oct-shlib.cc, sparse-util.cc: Use current_liboctave_warning_with_id_handler and provide warning IDs for all warnings in liboctave code. * unwinddemo.cc: Also preserve and restore warning_wit_id_handler.
author John W. Eaton <jwe@octave.org>
date Thu, 18 Dec 2014 10:50:09 -0500
parents 9ef286208da1
children 4197fc428c7d
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1 /*
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2
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3 Copyright (C) 1996-2013 John W. Eaton
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4 Copyright (C) 2010 Jaroslav Hajek
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5 Copyright (C) 2010 VZLU Prague
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6
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7 This file is part of Octave.
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8
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9 Octave is free software; you can redistribute it and/or modify it
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10 under the terms of the GNU General Public License as published by the
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11 Free Software Foundation; either version 3 of the License, or (at your
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12 option) any later version.
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13
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14 Octave is distributed in the hope that it will be useful, but WITHOUT
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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17 for more details.
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18
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19 You should have received a copy of the GNU General Public License
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20 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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21 <http://www.gnu.org/licenses/>.
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22
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23 */
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24
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25 #ifdef HAVE_CONFIG_H
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26 #include <config.h>
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27 #endif
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28
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29 #include "Range.h"
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30 #include "CColVector.h"
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31 #include "CMatrix.h"
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32 #include "dRowVector.h"
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33 #include "dMatrix.h"
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34 #include "dNDArray.h"
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35 #include "CNDArray.h"
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36 #include "fCColVector.h"
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37 #include "fCMatrix.h"
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38 #include "fRowVector.h"
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39 #include "fMatrix.h"
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40 #include "fNDArray.h"
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41 #include "fCNDArray.h"
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42 #include "f77-fcn.h"
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43 #include "lo-error.h"
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44 #include "lo-ieee.h"
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45 #include "lo-specfun.h"
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46 #include "mx-inlines.cc"
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47 #include "lo-mappers.h"
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48
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49 #include "Faddeeva.hh"
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50
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51 extern "C"
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52 {
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53 F77_RET_T
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54 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&,
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55 const octave_idx_type&, const octave_idx_type&,
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56 double*, double*, octave_idx_type&,
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57 octave_idx_type&);
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58
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59 F77_RET_T
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60 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&,
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61 const octave_idx_type&, const octave_idx_type&,
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62 double*, double*, octave_idx_type&, double*,
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63 double*, octave_idx_type&);
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64
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65 F77_RET_T
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66 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&,
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67 const octave_idx_type&, const octave_idx_type&,
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68 double*, double*, octave_idx_type&,
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69 octave_idx_type&);
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71 F77_RET_T
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72 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&,
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73 const octave_idx_type&, const octave_idx_type&,
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74 double*, double*, octave_idx_type&,
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75 octave_idx_type&);
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76
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77 F77_RET_T
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78 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&,
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79 const octave_idx_type&, const octave_idx_type&,
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80 const octave_idx_type&, double*, double*,
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81 octave_idx_type&, octave_idx_type&);
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83 F77_RET_T
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84 F77_FUNC (cbesj, cBESJ) (const FloatComplex&, const float&,
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85 const octave_idx_type&, const octave_idx_type&,
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86 FloatComplex*, octave_idx_type&, octave_idx_type&);
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87
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88 F77_RET_T
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89 F77_FUNC (cbesy, CBESY) (const FloatComplex&, const float&,
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90 const octave_idx_type&, const octave_idx_type&,
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91 FloatComplex*, octave_idx_type&,
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92 FloatComplex*, octave_idx_type&);
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94 F77_RET_T
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95 F77_FUNC (cbesi, CBESI) (const FloatComplex&, const float&,
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96 const octave_idx_type&, const octave_idx_type&,
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97 FloatComplex*, octave_idx_type&, octave_idx_type&);
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98
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99 F77_RET_T
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100 F77_FUNC (cbesk, CBESK) (const FloatComplex&, const float&,
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101 const octave_idx_type&, const octave_idx_type&,
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102 FloatComplex*, octave_idx_type&, octave_idx_type&);
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103
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104 F77_RET_T
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105 F77_FUNC (cbesh, CBESH) (const FloatComplex&, const float&,
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106 const octave_idx_type&, const octave_idx_type&,
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107 const octave_idx_type&, FloatComplex*,
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108 octave_idx_type&, octave_idx_type&);
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109
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110 F77_RET_T
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111 F77_FUNC (zairy, ZAIRY) (const double&, const double&,
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112 const octave_idx_type&, const octave_idx_type&,
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113 double&, double&, octave_idx_type&,
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114 octave_idx_type&);
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115
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116 F77_RET_T
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117 F77_FUNC (cairy, CAIRY) (const float&, const float&, const octave_idx_type&,
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118 const octave_idx_type&, float&, float&,
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119 octave_idx_type&, octave_idx_type&);
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120
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121 F77_RET_T
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122 F77_FUNC (zbiry, ZBIRY) (const double&, const double&,
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123 const octave_idx_type&, const octave_idx_type&,
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124 double&, double&, octave_idx_type&);
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125
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126 F77_RET_T
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127 F77_FUNC (cbiry, CBIRY) (const float&, const float&, const octave_idx_type&,
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128 const octave_idx_type&, float&, float&,
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129 octave_idx_type&);
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130
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131 F77_RET_T
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132 F77_FUNC (xdacosh, XDACOSH) (const double&, double&);
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133
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134 F77_RET_T
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135 F77_FUNC (xacosh, XACOSH) (const float&, float&);
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137 F77_RET_T
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138 F77_FUNC (xdasinh, XDASINH) (const double&, double&);
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139
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140 F77_RET_T
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141 F77_FUNC (xasinh, XASINH) (const float&, float&);
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142
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143 F77_RET_T
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144 F77_FUNC (xdatanh, XDATANH) (const double&, double&);
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145
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146 F77_RET_T
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147 F77_FUNC (xatanh, XATANH) (const float&, float&);
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148
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149 F77_RET_T
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150 F77_FUNC (xderf, XDERF) (const double&, double&);
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151
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152 F77_RET_T
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153 F77_FUNC (xerf, XERF) (const float&, float&);
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154
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155 F77_RET_T
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156 F77_FUNC (xderfc, XDERFC) (const double&, double&);
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157
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158 F77_RET_T
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159 F77_FUNC (xerfc, XERFC) (const float&, float&);
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160
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161 F77_RET_T
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162 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&,
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163 const double&, double&);
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164
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165 F77_RET_T
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166 F77_FUNC (xbetai, XBETAI) (const float&, const float&,
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167 const float&, float&);
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168
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169 F77_RET_T
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170 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&);
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171
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172 F77_RET_T
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173 F77_FUNC (xgamma, XGAMMA) (const float&, float&);
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174
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175 F77_RET_T
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176 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&);
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177
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178 F77_RET_T
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179 F77_FUNC (xsgammainc, XSGAMMAINC) (const float&, const float&, float&);
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180
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181 F77_RET_T
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182 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&);
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183
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184 F77_RET_T
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185 F77_FUNC (algams, ALGAMS) (const float&, float&, float&);
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186 }
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187
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188 #if !defined (HAVE_ACOSH)
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189 double
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190 acosh (double x)
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191 {
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192 double retval;
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193 F77_XFCN (xdacosh, XDACOSH, (x, retval));
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194 return retval;
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195 }
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196 #endif
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197
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198 #if !defined (HAVE_ACOSHF)
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199 float
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200 acoshf (float x)
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201 {
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202 float retval;
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203 F77_XFCN (xacosh, XACOSH, (x, retval));
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204 return retval;
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205 }
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206 #endif
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207
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208 #if !defined (HAVE_ASINH)
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209 double
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210 asinh (double x)
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211 {
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212 double retval;
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213 F77_XFCN (xdasinh, XDASINH, (x, retval));
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214 return retval;
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215 }
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216 #endif
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217
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218 #if !defined (HAVE_ASINHF)
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219 float
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220 asinhf (float x)
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221 {
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222 float retval;
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223 F77_XFCN (xasinh, XASINH, (x, retval));
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224 return retval;
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225 }
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226 #endif
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227
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228 #if !defined (HAVE_ATANH)
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229 double
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230 atanh (double x)
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231 {
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232 double retval;
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233 F77_XFCN (xdatanh, XDATANH, (x, retval));
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234 return retval;
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235 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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236 #endif
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237
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238 #if !defined (HAVE_ATANHF)
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239 float
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240 atanhf (float x)
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241 {
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242 float retval;
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243 F77_XFCN (xatanh, XATANH, (x, retval));
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244 return retval;
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245 }
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246 #endif
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247
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248 #if !defined (HAVE_ERF)
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249 double
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250 erf (double x)
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251 {
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252 double retval;
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253 F77_XFCN (xderf, XDERF, (x, retval));
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254 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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255 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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256 #endif
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257
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258 #if !defined (HAVE_ERFF)
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259 float
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260 erff (float x)
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261 {
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262 float retval;
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263 F77_XFCN (xerf, XERF, (x, retval));
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264 return retval;
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265 }
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266 #endif
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267
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268 #if !defined (HAVE_ERFC)
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269 double
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270 erfc (double x)
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271 {
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272 double retval;
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273 F77_XFCN (xderfc, XDERFC, (x, retval));
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274 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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275 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
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276 #endif
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277
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278 #if !defined (HAVE_ERFCF)
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279 float
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280 erfcf (float x)
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281 {
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282 float retval;
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283 F77_XFCN (xerfc, XERFC, (x, retval));
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284 return retval;
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285 }
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286 #endif
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287
15696
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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288 // Complex error function from the Faddeeva package
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diff changeset
289 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
290 erf (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
291 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
292 return Faddeeva::erf (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
293 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
294 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
295 erf (const FloatComplex& x)
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diff changeset
296 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
297 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
298 Complex ret = Faddeeva::erf (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
299 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
300 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
301
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
302 // Complex complementary error function from the Faddeeva package
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parents: 15271
diff changeset
303 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
304 erfc (const Complex& x)
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diff changeset
305 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
306 return Faddeeva::erfc (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
307 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
308 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
309 erfc (const FloatComplex& x)
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diff changeset
310 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
311 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
312 Complex ret = Faddeeva::erfc (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
313 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
314 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
315
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
316 // Real and complex scaled complementary error function from Faddeeva package
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diff changeset
317 float erfcx (float x) { return Faddeeva::erfcx(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
318 double erfcx (double x) { return Faddeeva::erfcx(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
319 Complex
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diff changeset
320 erfcx (const Complex& x)
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diff changeset
321 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
322 return Faddeeva::erfcx (x);
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diff changeset
323 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
324 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
325 erfcx (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
326 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
327 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
328 Complex ret = Faddeeva::erfcx (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
329 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
330 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
331
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
332 // Real and complex imaginary error function from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
333 float erfi (float x) { return Faddeeva::erfi(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
334 double erfi (double x) { return Faddeeva::erfi(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
335 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
336 erfi (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
337 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
338 return Faddeeva::erfi (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
339 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
340 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
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diff changeset
341 erfi (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
342 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
343 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
344 Complex ret = Faddeeva::erfi (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
345 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
346 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
347
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
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diff changeset
348 // Real and complex Dawson function (= scaled erfi) from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
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diff changeset
349 float dawson (float x) { return Faddeeva::Dawson(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
350 double dawson (double x) { return Faddeeva::Dawson(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
351 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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diff changeset
352 dawson (const Complex& x)
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parents: 15271
diff changeset
353 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
354 return Faddeeva::Dawson (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
355 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
356 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
357 dawson (const FloatComplex& x)
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diff changeset
358 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
359 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
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parents: 15271
diff changeset
360 Complex ret = Faddeeva::Dawson (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
361 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
362 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents: 15271
diff changeset
363
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
364 double
3156
a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe]
jwe
parents: 3146
diff changeset
365 xgamma (double x)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
366 {
3156
a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe]
jwe
parents: 3146
diff changeset
367 double result;
5701
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe]
jwe
parents: 5700
diff changeset
368
19357
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
369 // Special cases for (near) compatibility with Matlab instead of
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
370 // tgamma. Matlab does not have -0.
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
371
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
372 if (x == 0)
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
373 result = xnegative_sign (x) ? -octave_Inf : octave_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
374 else if ((x < 0 && D_NINT (x) == x) || xisinf (x))
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
375 result = octave_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
376 else if (xisnan (x))
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
377 result = octave_NaN;
5701
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe]
jwe
parents: 5700
diff changeset
378 else
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
379 {
11327
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents: 10902
diff changeset
380 #if defined (HAVE_TGAMMA)
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
381 result = tgamma (x);
11327
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents: 10902
diff changeset
382 #else
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
383 F77_XFCN (xdgamma, XDGAMMA, (x, result));
11327
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents: 10902
diff changeset
384 #endif
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
385 }
6969
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe]
jwe
parents: 6961
diff changeset
386
3156
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jwe
parents: 3146
diff changeset
387 return result;
3146
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parents:
diff changeset
388 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
389
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
390 double
3156
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jwe
parents: 3146
diff changeset
391 xlgamma (double x)
3146
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parents:
diff changeset
392 {
6969
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parents: 6961
diff changeset
393 #if defined (HAVE_LGAMMA)
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe]
jwe
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diff changeset
394 return lgamma (x);
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe]
jwe
parents: 6961
diff changeset
395 #else
3156
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diff changeset
396 double result;
3146
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jwe
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diff changeset
397 double sgngam;
4497
2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe]
jwe
parents: 4490
diff changeset
398
5701
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jwe
parents: 5700
diff changeset
399 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe]
jwe
parents: 5700
diff changeset
400 result = x;
10902
9a64e02e2aad Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents: 10521
diff changeset
401 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x))
5701
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jwe
parents: 5700
diff changeset
402 result = octave_Inf;
5700
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe]
jwe
parents: 5307
diff changeset
403 else
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe]
jwe
parents: 5307
diff changeset
404 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
4497
2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe]
jwe
parents: 4490
diff changeset
405
3156
a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe]
jwe
parents: 3146
diff changeset
406 return result;
6969
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe]
jwe
parents: 6961
diff changeset
407 #endif
6961
b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe]
jwe
parents: 5775
diff changeset
408 }
b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe]
jwe
parents: 5775
diff changeset
409
7601
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
410 Complex
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
411 rc_lgamma (double x)
7601
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
412 {
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
413 double result;
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
414
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
415 #if defined (HAVE_LGAMMA_R)
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
416 int sgngam;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
417 result = lgamma_r (x, &sgngam);
7601
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
418 #else
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
419 double sgngam;
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
420
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
421 if (xisnan (x))
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
422 result = x;
10902
9a64e02e2aad Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents: 10521
diff changeset
423 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x))
7601
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
424 result = octave_Inf;
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
425 else
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
426 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
427
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
428 #endif
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
429
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
430 if (sgngam < 0)
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
431 return result + Complex (0., M_PI);
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
432 else
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
433 return result;
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
434 }
8a939b217863 Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents: 7176
diff changeset
435
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
436 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
437 xgamma (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
438 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
439 float result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
440
19357
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
441 // Special cases for (near) compatibility with Matlab instead of
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
442 // tgamma. Matlab does not have -0.
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
443
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
444 if (x == 0)
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
445 result = xnegative_sign (x) ? -octave_Float_Inf : octave_Float_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
446 else if ((x < 0 && D_NINT (x) == x) || xisinf (x))
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
447 result = octave_Float_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents: 17769
diff changeset
448 else if (xisnan (x))
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
449 result = octave_Float_NaN;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
450 else
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
451 {
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
452 #if defined (HAVE_TGAMMA)
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
453 result = tgammaf (x);
11327
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents: 10902
diff changeset
454 #else
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
455 F77_XFCN (xgamma, XGAMMA, (x, result));
11327
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents: 10902
diff changeset
456 #endif
17708
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents: 17502
diff changeset
457 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
458
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
459 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
460 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
461
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
462 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
463 xlgamma (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
464 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
465 #if defined (HAVE_LGAMMAF)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
466 return lgammaf (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
467 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
468 float result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
469 float sgngam;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
470
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
471 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
472 result = x;
10902
9a64e02e2aad Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents: 10521
diff changeset
473 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
474 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
475 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
476 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
477
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
478 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
479 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
480 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
481
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
482 FloatComplex
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
483 rc_lgamma (float x)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
484 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
485 float result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
486
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
487 #if defined (HAVE_LGAMMAF_R)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
488 int sgngam;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
489 result = lgammaf_r (x, &sgngam);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
490 #else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
491 float sgngam;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
492
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
493 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
494 result = x;
10902
9a64e02e2aad Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents: 10521
diff changeset
495 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
496 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
497 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
498 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
499
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
500 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
501
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
502 if (sgngam < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
503 return result + FloatComplex (0., M_PI);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
504 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
505 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
506 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
507
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
508 #if !defined (HAVE_EXPM1)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
509 double
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
510 expm1 (double x)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
511 {
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
512 double retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
513
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
514 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
515
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
516 if (ax < 0.1)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
517 {
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
518 ax /= 16;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
519
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
520 // use Taylor series to calculate exp(x)-1.
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
521 double t = ax;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
522 double s = 0;
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
523 for (int i = 2; i < 7; i++)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
524 s += (t *= ax/i);
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
525 s += ax;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
526
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
527 // use the identity (a+1)^2-1 = a*(a+2)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
528 double e = s;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
529 for (int i = 0; i < 4; i++)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
530 {
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
531 s *= e + 2;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
532 e *= e + 2;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
533 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
534
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
535 retval = (x > 0) ? s : -s / (1+s);
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
536 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
537 else
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
538 retval = exp (x) - 1;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
539
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
540 return retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
541 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
542 #endif
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
543
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
544 Complex
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
545 expm1 (const Complex& x)
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
546 {
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
547 Complex retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
548
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
549 if (std:: abs (x) < 1)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
550 {
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14844
diff changeset
551 double im = x.imag ();
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
552 double u = expm1 (x.real ());
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
553 double v = sin (im/2);
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
554 v = -2*v*v;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
555 retval = Complex (u*v + u + v, (u+1) * sin (im));
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
556 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
557 else
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
558 retval = std::exp (x) - Complex (1);
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
559
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
560 return retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
561 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
562
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
563 #if !defined (HAVE_EXPM1F)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
564 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
565 expm1f (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
566 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
567 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
568
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
569 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
570
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
571 if (ax < 0.1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
572 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
573 ax /= 16;
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 // use Taylor series to calculate exp(x)-1.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
576 float t = ax;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
577 float s = 0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
578 for (int i = 2; i < 7; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
579 s += (t *= ax/i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
580 s += ax;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
581
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
582 // use the identity (a+1)^2-1 = a*(a+2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
583 float e = s;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
584 for (int i = 0; i < 4; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
585 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
586 s *= e + 2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
587 e *= e + 2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
588 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
589
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
590 retval = (x > 0) ? s : -s / (1+s);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
591 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
592 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
593 retval = exp (x) - 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
594
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
595 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
596 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
597 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
598
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
599 FloatComplex
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
600 expm1 (const FloatComplex& x)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
601 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
602 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
603
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
604 if (std:: abs (x) < 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
605 {
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14844
diff changeset
606 float im = x.imag ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
607 float u = expm1 (x.real ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
608 float v = sin (im/2);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
609 v = -2*v*v;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
610 retval = FloatComplex (u*v + u + v, (u+1) * sin (im));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
611 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
612 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
613 retval = std::exp (x) - FloatComplex (1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
614
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
615 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
616 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
617
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
618 #if !defined (HAVE_LOG1P)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
619 double
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
620 log1p (double x)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
621 {
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
622 double retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
623
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
624 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
625
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
626 if (ax < 0.2)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
627 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
628 // approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
629 double u = x / (2 + x), t = 1, s = 0;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
630 for (int i = 2; i < 12; i += 2)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
631 s += (t *= u*u) / (i+1);
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
632
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
633 retval = 2 * (s + 1) * u;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
634 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
635 else
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
636 retval = gnulib::log (1 + x);
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
637
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
638 return retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
639 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
640 #endif
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
641
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
642 Complex
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
643 log1p (const Complex& x)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
644 {
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
645 Complex retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
646
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14844
diff changeset
647 double r = x.real (), i = x.imag ();
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
648
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
649 if (fabs (r) < 0.5 && fabs (i) < 0.5)
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
650 {
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
651 double u = 2*r + r*r + i*i;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
652 retval = Complex (log1p (u / (1+sqrt (u+1))),
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
653 atan2 (1 + r, i));
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
654 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
655 else
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
656 retval = std::log (Complex (1) + x);
7638
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
657
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
658 return retval;
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
659 }
2df457529cfa implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents: 7601
diff changeset
660
10414
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
661 #if !defined (HAVE_CBRT)
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
662 double cbrt (double x)
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
663 {
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
664 static const double one_third = 0.3333333333333333333;
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
665 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
666 {
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
667 // Use pow.
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
668 double y = std::pow (std::abs (x), one_third) * signum (x);
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
669 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
670 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
671 }
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
672 else
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
673 return x;
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
674 }
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
675 #endif
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
676
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
677 #if !defined (HAVE_LOG1PF)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
678 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
679 log1pf (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
680 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
681 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
682
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
683 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
684
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
685 if (ax < 0.2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
686 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
687 // approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
688 float u = x / (2 + x), t = 1.0f, s = 0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
689 for (int i = 2; i < 12; i += 2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
690 s += (t *= u*u) / (i+1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
691
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
692 retval = 2 * (s + 1.0f) * u;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
693 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
694 else
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
695 retval = gnulib::logf (1.0f + x);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
696
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
697 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
698 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
699 #endif
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
700
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
701 FloatComplex
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
702 log1p (const FloatComplex& x)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
703 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
704 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
705
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
706 float r = x.real (), i = x.imag ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
707
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
708 if (fabs (r) < 0.5 && fabs (i) < 0.5)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
709 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
710 float u = 2*r + r*r + i*i;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
711 retval = FloatComplex (log1p (u / (1+sqrt (u+1))),
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
712 atan2 (1 + r, i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
713 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
714 else
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
715 retval = std::log (FloatComplex (1) + x);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
716
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
717 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
718 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
719
10414
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
720 #if !defined (HAVE_CBRTF)
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
721 float cbrtf (float x)
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
722 {
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
723 static const float one_third = 0.3333333333333333333f;
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
724 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
725 {
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
726 // Use pow.
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
727 float y = std::pow (std::abs (x), one_third) * signum (x);
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
728 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
729 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
730 }
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
731 else
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
732 return x;
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
733 }
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
734 #endif
2a8b1db1e2ca implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents: 10391
diff changeset
735
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
736 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
737 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
738
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
739 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
740 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
741
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
742 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
743 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
744
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
745 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
746 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
747
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
748 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
749 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
750
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
751 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
752 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
753
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
754 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
755 bessel_return_value (const Complex& val, octave_idx_type ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
756 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
757 static const Complex inf_val = Complex (octave_Inf, octave_Inf);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
758 static const Complex nan_val = Complex (octave_NaN, octave_NaN);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
759
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
760 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
761
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
762 switch (ierr)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
763 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
764 case 0:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
765 case 3:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
766 retval = val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
767 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
768
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
769 case 2:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
770 retval = inf_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
771 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
772
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
773 default:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
774 retval = nan_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
775 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
776 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
777
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
778 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
779 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
780
4911
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
781 static inline bool
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
782 is_integer_value (double x)
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
783 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
784 return x == static_cast<double> (static_cast<long> (x));
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
785 }
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
786
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
787 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
788 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
789 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
790 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
791
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
792 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
793 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
794 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
795 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
796
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
797 octave_idx_type nz;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
798
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
799 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
800 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
801
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
802 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
803
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
804 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
805 {
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
806 double expz = exp (std::abs (zi));
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
807 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
808 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
809 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
810
4490
1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe]
jwe
parents: 4180
diff changeset
811 if (zi == 0.0 && zr >= 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
812 yi = 0.0;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
813
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
814 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
815 }
4911
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
816 else if (is_integer_value (alpha))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
817 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
818 // zbesy can overflow as z->0, and cause troubles for generic case below
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
819 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
820 Complex tmp = zbesj (z, alpha, kode, ierr);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
821 if ((static_cast <long> (alpha)) & 1)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
822 tmp = - tmp;
4911
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
823 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
824 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
825 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
826 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
827 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
828
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
829 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
830
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
831 if (ierr == 0 || ierr == 3)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
832 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
833 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
834
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
835 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
836 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
837 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
838 retval = Complex (octave_NaN, octave_NaN);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
839 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
840
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
841 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
842 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
843
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
844 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
845 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
846 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
847 Complex retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
848
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
849 if (alpha >= 0.0)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
850 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
851 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
852 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
853
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
854 octave_idx_type nz;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
855
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
856 double wr, wi;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
857
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
858 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
859 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
860
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
861 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
862
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
863 if (zr == 0.0 && zi == 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
864 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
865 yr = -octave_Inf;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
866 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
867 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
868 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
869 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
870 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz,
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
871 &wr, &wi, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
872
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
873 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
874 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
875 double expz = exp (std::abs (zi));
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
876 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
877 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
878 }
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
879
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
880 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
881 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
882 }
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
883
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
884 return bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
885 }
4911
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
886 else if (is_integer_value (alpha - 0.5))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
887 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
888 // zbesy can overflow as z->0, and cause troubles for generic case below
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
889 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
890 Complex tmp = zbesj (z, alpha, kode, ierr);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
891 if ((static_cast <long> (alpha - 0.5)) & 1)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
892 tmp = - tmp;
4911
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
893 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe]
jwe
parents: 4844
diff changeset
894 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
895 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
896 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
897 alpha = -alpha;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
898
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
899 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
900
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
901 if (ierr == 0 || ierr == 3)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
902 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
903 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
904
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
905 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
906 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
907 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
908 retval = Complex (octave_NaN, octave_NaN);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
909 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
910
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
911 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
912 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
913
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
914 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
915 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
916 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
917 Complex retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
918
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
919 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
920 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
921 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
922 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
923
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
924 octave_idx_type nz;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
925
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
926 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
927 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
928
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
929 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
930
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
931 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
932 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
933 double expz = exp (std::abs (zr));
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
934 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
935 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
936 }
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
937
4490
1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe]
jwe
parents: 4180
diff changeset
938 if (zi == 0.0 && zr >= 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
939 yi = 0.0;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
940
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
941 retval = bessel_return_value (Complex (yr, yi), ierr);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
942 }
14196
35ce1eab7400 besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
943 else if (is_integer_value (alpha))
35ce1eab7400 besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
944 {
35ce1eab7400 besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
945 // zbesi can overflow as z->0, and cause troubles for generic case below
35ce1eab7400 besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
946 alpha = -alpha;
35ce1eab7400 besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
947 Complex tmp = zbesi (z, alpha, kode, ierr);
35ce1eab7400 besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
948 retval = bessel_return_value (tmp, ierr);
35ce1eab7400 besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
949 }
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
950 else
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
951 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
952 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
953
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
954 Complex tmp = zbesi (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
955
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
956 if (ierr == 0 || ierr == 3)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
957 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
958 Complex tmp2 = (2.0 / M_PI) * sin (M_PI * alpha)
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
959 * zbesk (z, alpha, kode, ierr);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
960
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
961 if (kode == 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
962 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
963 // Compensate for different scaling factor of besk.
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
964 tmp2 *= exp (-z - std::abs (z.real ()));
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
965 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
966
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
967 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
968
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
969 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
970 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
971 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
972 retval = Complex (octave_NaN, octave_NaN);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
973 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
974
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
975 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
976 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
977
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
978 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
979 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
980 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
981 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
982
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
983 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
984 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
985 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
986 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
987
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
988 octave_idx_type nz;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
989
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
990 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
991 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
992
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
993 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
994
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
995 if (zr == 0.0 && zi == 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
996 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
997 yr = octave_Inf;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
998 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
999 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1000 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1001 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1002 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1003
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1004 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1005 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1006 Complex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1007
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1008 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1009 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1010
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1011 double tmp = yr*rexpz - yi*iexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1012
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1013 yi = yr*iexpz + yi*rexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1014 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1015 }
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1016
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1017 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1018 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1019 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1020
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1021 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1022 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1023 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1024 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1025 Complex tmp = zbesk (z, -alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1026
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1027 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1028 }
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1029
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1030 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1031 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1032
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1033 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1034 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1035 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1036 Complex retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1037
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1038 if (alpha >= 0.0)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1039 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1040 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1041 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1042
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1043 octave_idx_type nz;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1044
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1045 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1046 double zi = z.imag ();
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1047
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1048 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1049
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1050 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1051 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1052 Complex expz = exp (Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1053
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1054 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1055 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1056
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1057 double tmp = yr*rexpz - yi*iexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1058
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1059 yi = yr*iexpz + yi*rexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1060 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1061 }
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1062
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1063 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1064 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1065 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1066 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1067 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1068
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1069 static const Complex eye = Complex (0.0, 1.0);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1070
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1071 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1072
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1073 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1074 }
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1075
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1076 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1077 }
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1078
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1079 static inline Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1080 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1081 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1082 Complex retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1083
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1084 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1085 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1086 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1087 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1088
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1089 octave_idx_type nz;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1090
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1091 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1092 double zi = z.imag ();
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1093
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1094 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1095
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1096 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1097 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1098 Complex expz = exp (-Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1099
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1100 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1101 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1102
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1103 double tmp = yr*rexpz - yi*iexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1104
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1105 yi = yr*iexpz + yi*rexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1106 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1107 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1108
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1109 retval = bessel_return_value (Complex (yr, yi), ierr);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1110 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1111 else
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1112 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1113 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1114
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1115 static const Complex eye = Complex (0.0, 1.0);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1116
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1117 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1118
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1119 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1120 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1121
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1122 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1123 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1124
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1125 typedef Complex (*dptr) (const Complex&, double, int, octave_idx_type&);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1126
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1127 static inline Complex
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1128 do_bessel (dptr f, const char *, double alpha, const Complex& x,
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1129 bool scaled, octave_idx_type& ierr)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1130 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1131 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1132
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1133 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1134
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1135 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1136 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1137
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1138 static inline ComplexMatrix
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1139 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x,
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1140 bool scaled, Array<octave_idx_type>& ierr)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1141 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1142 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1143 octave_idx_type nc = x.cols ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1144
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1145 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1146
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1147 ierr.resize (dim_vector (nr, nc));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1148
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1149 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1150 for (octave_idx_type i = 0; i < nr; i++)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1151 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1152
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1153 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1154 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1155
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1156 static inline ComplexMatrix
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1157 do_bessel (dptr f, const char *, const Matrix& alpha, const Complex& x,
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1158 bool scaled, Array<octave_idx_type>& ierr)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1159 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1160 octave_idx_type nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1161 octave_idx_type nc = alpha.cols ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1162
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1163 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1164
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1165 ierr.resize (dim_vector (nr, nc));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1166
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1167 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1168 for (octave_idx_type i = 0; i < nr; i++)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1169 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1170
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1171 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1172 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1173
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1174 static inline ComplexMatrix
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1175 do_bessel (dptr f, const char *fn, const Matrix& alpha,
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1176 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1177 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1178 ComplexMatrix retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1179
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1180 octave_idx_type x_nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1181 octave_idx_type x_nc = x.cols ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1182
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1183 octave_idx_type alpha_nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1184 octave_idx_type alpha_nc = alpha.cols ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1185
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1186 if (x_nr == alpha_nr && x_nc == alpha_nc)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1187 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1188 octave_idx_type nr = x_nr;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1189 octave_idx_type nc = x_nc;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1190
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1191 retval.resize (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1192
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1193 ierr.resize (dim_vector (nr, nc));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1194
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1195 for (octave_idx_type j = 0; j < nc; j++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1196 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1197 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1198 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1199 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1200 (*current_liboctave_error_handler)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1201 ("%s: the sizes of alpha and x must conform", fn);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1202
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1203 return retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1204 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1205
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1206 static inline ComplexNDArray
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1207 do_bessel (dptr f, const char *, double alpha, const ComplexNDArray& x,
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1208 bool scaled, Array<octave_idx_type>& ierr)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1209 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1210 dim_vector dv = x.dims ();
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1211 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1212 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1213
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1214 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1215
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1216 for (octave_idx_type i = 0; i < nel; i++)
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1217 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i));
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1218
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1219 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1220 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1221
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1222 static inline ComplexNDArray
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1223 do_bessel (dptr f, const char *, const NDArray& alpha, const Complex& x,
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1224 bool scaled, Array<octave_idx_type>& ierr)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1225 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1226 dim_vector dv = alpha.dims ();
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1227 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1228 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1229
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1230 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1231
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1232 for (octave_idx_type i = 0; i < nel; i++)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1233 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i));
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1234
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1235 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1236 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1237
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1238 static inline ComplexNDArray
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1239 do_bessel (dptr f, const char *fn, const NDArray& alpha,
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1240 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1241 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1242 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1243 ComplexNDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1244
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1245 if (dv == alpha.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1246 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1247 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1248
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1249 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1250 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1251
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1252 for (octave_idx_type i = 0; i < nel; i++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1253 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i));
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1254 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1255 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1256 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1257 ("%s: the sizes of alpha and x must conform", fn);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1258
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1259 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1260 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1261
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1262 static inline ComplexMatrix
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1263 do_bessel (dptr f, const char *, const RowVector& alpha,
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1264 const ComplexColumnVector& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1265 Array<octave_idx_type>& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1266 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1267 octave_idx_type nr = x.length ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1268 octave_idx_type nc = alpha.length ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1269
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1270 ComplexMatrix retval (nr, nc);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1271
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1272 ierr.resize (dim_vector (nr, nc));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1273
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1274 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1275 for (octave_idx_type i = 0; i < nr; i++)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1276 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1277
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1278 return retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1279 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1280
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1281 #define SS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1282 Complex \
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1283 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1284 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1285 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1286 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1287
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1288 #define SM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1289 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1290 name (double alpha, const ComplexMatrix& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1291 Array<octave_idx_type>& ierr) \
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1292 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1293 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1294 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1295
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1296 #define MS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1297 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1298 name (const Matrix& alpha, const Complex& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1299 Array<octave_idx_type>& ierr) \
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1300 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1301 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1302 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1303
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1304 #define MM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1305 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1306 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1307 Array<octave_idx_type>& ierr) \
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1308 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1309 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1310 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1311
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1312 #define SN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1313 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1314 name (double alpha, const ComplexNDArray& x, bool scaled, \
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1315 Array<octave_idx_type>& ierr) \
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1316 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1317 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1318 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1319
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1320 #define NS_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1321 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1322 name (const NDArray& alpha, const Complex& x, bool scaled, \
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1323 Array<octave_idx_type>& ierr) \
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1324 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1325 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1326 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1327
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1328 #define NN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1329 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1330 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1331 Array<octave_idx_type>& ierr) \
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1332 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1333 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1334 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1335
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1336 #define RC_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1337 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1338 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1339 Array<octave_idx_type>& ierr) \
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1340 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1341 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1342 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1343
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1344 #define ALL_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1345 SS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1346 SM_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1347 MS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1348 MM_BESSEL (name, fcn) \
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1349 SN_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1350 NS_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
1351 NN_BESSEL (name, fcn) \
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1352 RC_BESSEL (name, fcn)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1353
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1354 ALL_BESSEL (besselj, zbesj)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1355 ALL_BESSEL (bessely, zbesy)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1356 ALL_BESSEL (besseli, zbesi)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1357 ALL_BESSEL (besselk, zbesk)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1358 ALL_BESSEL (besselh1, zbesh1)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1359 ALL_BESSEL (besselh2, zbesh2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1360
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1361 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1362 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1363 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1364 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1365 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1366 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1367 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1368 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1369 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1370
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1371 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1372 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1373
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1374 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1375 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1376
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1377 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1378 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1379
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1380 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1381 cbesk (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1382
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1383 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1384 cbesh1 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1385
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1386 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1387 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1388
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1389 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1390 bessel_return_value (const FloatComplex& val, octave_idx_type ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1391 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1392 static const FloatComplex inf_val = FloatComplex (octave_Float_Inf,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1393 octave_Float_Inf);
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1394 static const FloatComplex nan_val = FloatComplex (octave_Float_NaN,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1395 octave_Float_NaN);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1396
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1397 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1398
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1399 switch (ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1400 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1401 case 0:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1402 case 3:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1403 retval = val;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1404 break;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1405
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1406 case 2:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1407 retval = inf_val;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1408 break;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1409
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1410 default:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1411 retval = nan_val;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1412 break;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1413 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1414
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1415 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1416 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1417
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1418 static inline bool
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1419 is_integer_value (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1420 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1421 return x == static_cast<float> (static_cast<long> (x));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1422 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1423
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1424 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1425 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1426 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1427 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1428
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1429 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1430 {
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1431 FloatComplex y = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1432
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1433 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1434
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1435 F77_FUNC (cbesj, CBESJ) (z, alpha, 2, 1, &y, nz, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1436
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1437 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1438 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1439 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1440 y *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1441 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1442
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1443 if (imag (z) == 0.0 && real (z) >= 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1444 y = FloatComplex (y.real (), 0.0);
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1445
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1446 retval = bessel_return_value (y, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1447 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1448 else if (is_integer_value (alpha))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1449 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1450 // zbesy can overflow as z->0, and cause troubles for generic case below
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1451 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1452 FloatComplex tmp = cbesj (z, alpha, kode, ierr);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
1453 if ((static_cast <long> (alpha)) & 1)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1454 tmp = - tmp;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1455 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1456 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1457 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1458 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1459 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1460
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1461 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1462 * cbesj (z, alpha, kode, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1463
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1464 if (ierr == 0 || ierr == 3)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1465 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1466 tmp -= sinf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1467 * cbesy (z, alpha, kode, ierr);
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1468
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1469 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1470 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1471 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1472 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1473 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1474
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1475 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1476 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1477
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1478 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1479 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1480 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1481 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1482
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1483 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1484 {
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1485 FloatComplex y = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1486
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1487 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1488
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1489 FloatComplex w;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1490
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1491 ierr = 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1492
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1493 if (real (z) == 0.0 && imag (z) == 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1494 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1495 y = FloatComplex (-octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1496 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1497 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1498 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1499 F77_FUNC (cbesy, CBESY) (z, alpha, 2, 1, &y, nz, &w, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1500
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1501 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1502 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1503 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1504 y *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1505 }
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1506
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1507 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1508 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1509 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1510
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1511 return bessel_return_value (y, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1512 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1513 else if (is_integer_value (alpha - 0.5))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1514 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1515 // zbesy can overflow as z->0, and cause troubles for generic case below
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1516 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1517 FloatComplex tmp = cbesj (z, alpha, kode, ierr);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
1518 if ((static_cast <long> (alpha - 0.5)) & 1)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1519 tmp = - tmp;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1520 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1521 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1522 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1523 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1524 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1525
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1526 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1527 * cbesy (z, alpha, kode, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1528
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1529 if (ierr == 0 || ierr == 3)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1530 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1531 tmp += sinf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1532 * cbesj (z, alpha, kode, ierr);
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1533
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1534 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1535 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1536 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1537 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1538 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1539
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1540 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1541 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1542
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1543 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1544 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1545 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1546 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1547
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1548 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1549 {
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1550 FloatComplex y = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1551
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1552 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1553
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1554 F77_FUNC (cbesi, CBESI) (z, alpha, 2, 1, &y, nz, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1556 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1557 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1558 float expz = exp (std::abs (real (z)));
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1559 y *= expz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1560 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1561
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1562 if (imag (z) == 0.0 && real (z) >= 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1563 y = FloatComplex (y.real (), 0.0);
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1564
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1565 retval = bessel_return_value (y, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1566 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1567 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1568 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1569 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1570
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1571 FloatComplex tmp = cbesi (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1572
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1573 if (ierr == 0 || ierr == 3)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1574 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1575 FloatComplex tmp2 = static_cast<float> (2.0 / M_PI)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1576 * sinf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1577 * cbesk (z, alpha, kode, ierr);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
1578
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
1579 if (kode == 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1580 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1581 // Compensate for different scaling factor of besk.
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
1582 tmp2 *= exp (-z - std::abs (z.real ()));
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1583 }
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1584
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1585 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1586
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1587 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1588 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1589 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1590 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1591 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1592
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1593 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1594 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1595
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1596 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1597 cbesk (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1598 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1599 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1600
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1601 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1602 {
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1603 FloatComplex y = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1604
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1605 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1606
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1607 ierr = 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1608
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1609 if (real (z) == 0.0 && imag (z) == 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1610 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1611 y = FloatComplex (octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1612 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1613 else
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1614 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1615 F77_FUNC (cbesk, CBESK) (z, alpha, 2, 1, &y, nz, ierr);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1616
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1617 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1618 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1619 FloatComplex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1620
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1621 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1622 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1623
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1624 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1625 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1626
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1627 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1628 }
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1629
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1630 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1631 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1632 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1633
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1634 retval = bessel_return_value (y, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1635 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1636 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1637 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1638 FloatComplex tmp = cbesk (z, -alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1639
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1640 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1641 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1642
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1643 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1644 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1645
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1646 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1647 cbesh1 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1648 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1649 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1650
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1651 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1652 {
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1653 FloatComplex y = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1654
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1655 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1656
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1657 F77_FUNC (cbesh, CBESH) (z, alpha, 2, 1, 1, &y, nz, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1658
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1659 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1660 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1661 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1662
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1663 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1664 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1665
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1666 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1667 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1668
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1669 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1670 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1671
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1672 retval = bessel_return_value (y, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1673 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1674 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1675 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1676 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1677
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1678 static const FloatComplex eye = FloatComplex (0.0, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1679
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1680 FloatComplex tmp = exp (static_cast<float> (M_PI) * alpha * eye)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1681 * cbesh1 (z, alpha, kode, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1682
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1683 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1684 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1685
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1686 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1687 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1688
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1689 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1690 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1691 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1692 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1693
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1694 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1695 {
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1696 FloatComplex y = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1697
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1698 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1699
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1700 F77_FUNC (cbesh, CBESH) (z, alpha, 2, 2, 1, &y, nz, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1701
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1702 if (kode != 2)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1703 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1704 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1705
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1706 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1707 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1708
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1709 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1710 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1711
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1712 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1713 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1714
8279
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents: 8278
diff changeset
1715 retval = bessel_return_value (y, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1716 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1717 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1718 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1719 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1720
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1721 static const FloatComplex eye = FloatComplex (0.0, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1722
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1723 FloatComplex tmp = exp (-static_cast<float> (M_PI) * alpha * eye)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1724 * cbesh2 (z, alpha, kode, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1725
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1726 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1727 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1728
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1729 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1730 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1731
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1732 typedef FloatComplex (*fptr) (const FloatComplex&, float, int,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1733 octave_idx_type&);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1734
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1735 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1736 do_bessel (fptr f, const char *, float alpha, const FloatComplex& x,
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1737 bool scaled, octave_idx_type& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1738 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1739 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1740
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1741 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1742
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1743 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1744 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1745
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1746 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1747 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x,
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1748 bool scaled, Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1749 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1750 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1751 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1752
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1753 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1754
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1755 ierr.resize (dim_vector (nr, nc));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1756
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1757 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1758 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1759 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1760
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1761 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1762 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1763
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1764 static inline FloatComplexMatrix
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1765 do_bessel (fptr f, const char *, const FloatMatrix& alpha,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1766 const FloatComplex& x,
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1767 bool scaled, Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1768 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1769 octave_idx_type nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1770 octave_idx_type nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1771
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1772 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1773
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1774 ierr.resize (dim_vector (nr, nc));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1775
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1776 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1777 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1778 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1779
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1780 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1781 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1782
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1783 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1784 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha,
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1785 const FloatComplexMatrix& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1786 Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1787 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1788 FloatComplexMatrix retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1790 octave_idx_type x_nr = x.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1791 octave_idx_type x_nc = x.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1792
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1793 octave_idx_type alpha_nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1794 octave_idx_type alpha_nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1795
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1796 if (x_nr == alpha_nr && x_nc == alpha_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1797 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1798 octave_idx_type nr = x_nr;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1799 octave_idx_type nc = x_nc;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1800
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1801 retval.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1802
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1803 ierr.resize (dim_vector (nr, nc));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1804
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1805 for (octave_idx_type j = 0; j < nc; j++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1806 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1807 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1808 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1809 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1810 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1811 ("%s: the sizes of alpha and x must conform", fn);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1812
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1813 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1814 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1815
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1816 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1817 do_bessel (fptr f, const char *, float alpha, const FloatComplexNDArray& x,
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1818 bool scaled, Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1819 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1820 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1821 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1822 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1823
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1824 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1825
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1826 for (octave_idx_type i = 0; i < nel; i++)
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1827 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1828
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1829 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1830 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1831
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1832 static inline FloatComplexNDArray
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1833 do_bessel (fptr f, const char *, const FloatNDArray& alpha,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1834 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1835 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1836 dim_vector dv = alpha.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1837 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1838 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1839
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1840 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1841
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1842 for (octave_idx_type i = 0; i < nel; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1843 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1844
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1845 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1846 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1847
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1848 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1849 do_bessel (fptr f, const char *fn, const FloatNDArray& alpha,
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1850 const FloatComplexNDArray& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1851 Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1852 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1853 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1854 FloatComplexNDArray retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1855
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1856 if (dv == alpha.dims ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1857 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1858 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1859
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1860 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1861 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1862
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1863 for (octave_idx_type i = 0; i < nel; i++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1864 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1865 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1866 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1867 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1868 ("%s: the sizes of alpha and x must conform", fn);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1869
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1870 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1871 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1872
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1873 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1874 do_bessel (fptr f, const char *, const FloatRowVector& alpha,
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1875 const FloatComplexColumnVector& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
1876 Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1877 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1878 octave_idx_type nr = x.length ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1879 octave_idx_type nc = alpha.length ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1880
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1881 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1882
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
1883 ierr.resize (dim_vector (nr, nc));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1884
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1885 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1886 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1887 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1888
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1889 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1890 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1891
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1892 #define SS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1893 FloatComplex \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1894 name (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1895 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1896 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1897 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1898
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1899 #define SM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1900 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1901 name (float alpha, const FloatComplexMatrix& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1902 Array<octave_idx_type>& ierr) \
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1903 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1904 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1905 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1906
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1907 #define MS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1908 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1909 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1910 Array<octave_idx_type>& ierr) \
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1911 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1912 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1913 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1914
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1915 #define MM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1916 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1917 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1918 Array<octave_idx_type>& ierr) \
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1919 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1920 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1921 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1922
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1923 #define SN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1924 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1925 name (float alpha, const FloatComplexNDArray& x, bool scaled, \
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1926 Array<octave_idx_type>& ierr) \
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1927 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1928 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1929 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1930
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1931 #define NS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1932 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1933 name (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, \
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1934 Array<octave_idx_type>& ierr) \
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1935 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1936 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1937 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1938
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1939 #define NN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1940 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1941 name (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, \
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
1942 Array<octave_idx_type>& ierr) \
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1943 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1944 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1945 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1946
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1947 #define RC_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1948 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1949 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \
10352
a3635bc1ea19 remove Array2
Jaroslav Hajek <highegg@gmail.com>
parents: 10314
diff changeset
1950 Array<octave_idx_type>& ierr) \
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1951 { \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1952 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1953 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1954
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1955 #define ALL_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1956 SS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1957 SM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1958 MS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1959 MM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1960 SN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1961 NS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1962 NN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1963 RC_BESSEL (name, fcn)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1964
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1965 ALL_BESSEL (besselj, cbesj)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1966 ALL_BESSEL (bessely, cbesy)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1967 ALL_BESSEL (besseli, cbesi)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1968 ALL_BESSEL (besselk, cbesk)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1969 ALL_BESSEL (besselh1, cbesh1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1970 ALL_BESSEL (besselh2, cbesh2)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1971
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1972 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1973 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1974 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1975 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1976 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1977 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1978 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1979 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1980 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
1981
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1982 Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1983 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1984 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1985 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1986 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1987
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1988 octave_idx_type nz;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1989
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1990 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1991 double zi = z.imag ();
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
1992
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
1993 octave_idx_type id = deriv ? 1 : 0;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
1994
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1995 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1996
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1997 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
1998 {
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
1999 Complex expz = exp (- 2.0 / 3.0 * z * sqrt (z));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2000
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2001 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2002 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2003
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2004 double tmp = ar*rexpz - ai*iexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2005
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2006 ai = ar*iexpz + ai*rexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2007 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2008 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2009
4490
1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe]
jwe
parents: 4180
diff changeset
2010 if (zi == 0.0 && (! scaled || zr >= 0.0))
3225
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe]
jwe
parents: 3220
diff changeset
2011 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe]
jwe
parents: 3220
diff changeset
2012
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2013 return bessel_return_value (Complex (ar, ai), ierr);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2014 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2015
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2016 Complex
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2017 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2018 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2019 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2020 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2021
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2022 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2023 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2024
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2025 octave_idx_type id = deriv ? 1 : 0;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2026
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2027 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2028
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2029 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2030 {
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2031 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z))));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2032
4506
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2033 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2034 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2035
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2036 double tmp = ar*rexpz - ai*iexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2037
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2038 ai = ar*iexpz + ai*rexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2039 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe]
jwe
parents: 4497
diff changeset
2040 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2041
4490
1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe]
jwe
parents: 4180
diff changeset
2042 if (zi == 0.0 && (! scaled || zr >= 0.0))
3225
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe]
jwe
parents: 3220
diff changeset
2043 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe]
jwe
parents: 3220
diff changeset
2044
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2045 return bessel_return_value (Complex (ar, ai), ierr);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2046 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2047
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2048 ComplexMatrix
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2049 airy (const ComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2050 Array<octave_idx_type>& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2051 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2052 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2053 octave_idx_type nc = z.cols ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2054
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2055 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2056
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
2057 ierr.resize (dim_vector (nr, nc));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2058
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2059 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2060 for (octave_idx_type i = 0; i < nr; i++)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2061 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2062
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2063 return retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2064 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2065
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2066 ComplexMatrix
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2067 biry (const ComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2068 Array<octave_idx_type>& ierr)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2069 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2070 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2071 octave_idx_type nc = z.cols ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2072
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2073 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2074
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
2075 ierr.resize (dim_vector (nr, nc));
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2076
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2077 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2078 for (octave_idx_type i = 0; i < nr; i++)
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2079 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2080
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3164
diff changeset
2081 return retval;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2082 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2083
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2084 ComplexNDArray
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2085 airy (const ComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2086 Array<octave_idx_type>& ierr)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2087 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2088 dim_vector dv = z.dims ();
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2089 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2090 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2091
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2092 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2093
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2094 for (octave_idx_type i = 0; i < nel; i++)
14844
5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
parents: 14817
diff changeset
2095 retval(i) = airy (z(i), deriv, scaled, ierr(i));
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2096
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2097 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2098 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2099
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2100 ComplexNDArray
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2101 biry (const ComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2102 Array<octave_idx_type>& ierr)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2103 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2104 dim_vector dv = z.dims ();
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2105 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2106 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2107
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2108 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2109
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2110 for (octave_idx_type i = 0; i < nel; i++)
14844
5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
parents: 14817
diff changeset
2111 retval(i) = biry (z(i), deriv, scaled, ierr(i));
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2112
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2113 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2114 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2115
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2116 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2117 airy (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2118 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2119 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2120 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2121
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2122 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2123
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2124 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2125 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2126
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2127 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2128
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2129 F77_FUNC (cairy, CAIRY) (zr, zi, id, 2, ar, ai, nz, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2130
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2131 if (! scaled)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2132 {
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14847
diff changeset
2133 FloatComplex expz = exp (- static_cast<float> (2.0 / 3.0) * z * sqrt (z));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2134
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2135 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2136 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2137
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2138 float tmp = ar*rexpz - ai*iexpz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2139
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2140 ai = ar*iexpz + ai*rexpz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2141 ar = tmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2142 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2143
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2144 if (zi == 0.0 && (! scaled || zr >= 0.0))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2145 ai = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2146
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2147 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2148 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2149
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2150 FloatComplex
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2151 biry (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2152 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2153 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2154 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2155
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2156 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2157 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2158
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2159 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2160
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2161 F77_FUNC (cbiry, CBIRY) (zr, zi, id, 2, ar, ai, ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2162
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2163 if (! scaled)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2164 {
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2165 FloatComplex expz = exp (std::abs (real (static_cast<float> (2.0 / 3.0)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2166 * z * sqrt (z))));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2167
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2168 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2169 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2170
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2171 float tmp = ar*rexpz - ai*iexpz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2172
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2173 ai = ar*iexpz + ai*rexpz;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2174 ar = tmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2175 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2176
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2177 if (zi == 0.0 && (! scaled || zr >= 0.0))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2178 ai = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2179
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2180 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2181 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2182
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2183 FloatComplexMatrix
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2184 airy (const FloatComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2185 Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2186 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2187 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2188 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2189
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2190 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2191
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
2192 ierr.resize (dim_vector (nr, nc));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2193
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2194 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2195 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2196 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2197
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2198 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2199 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2200
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2201 FloatComplexMatrix
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2202 biry (const FloatComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2203 Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2204 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2205 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2206 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2207
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2208 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2209
11574
a83bad07f7e3 attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
2210 ierr.resize (dim_vector (nr, nc));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2211
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2212 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2213 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2214 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2215
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2216 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2217 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2218
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2219 FloatComplexNDArray
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2220 airy (const FloatComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2221 Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2222 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2223 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2224 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2225 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2226
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2227 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2228
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2229 for (octave_idx_type i = 0; i < nel; i++)
14844
5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
parents: 14817
diff changeset
2230 retval(i) = airy (z(i), deriv, scaled, ierr(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2231
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2232 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2233 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2234
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2235 FloatComplexNDArray
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2236 biry (const FloatComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2237 Array<octave_idx_type>& ierr)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2238 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2239 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2240 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2241 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2242
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2243 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2244
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2245 for (octave_idx_type i = 0; i < nel; i++)
14844
5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
parents: 14817
diff changeset
2246 retval(i) = biry (z(i), deriv, scaled, ierr(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2247
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2248 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2249 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2250
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2251 static void
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2252 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2,
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2253 const dim_vector& d3)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2254 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2255 std::string d1_str = d1.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2256 std::string d2_str = d2.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2257 std::string d3_str = d3.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2258
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2259 (*current_liboctave_error_handler)
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2260 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)",
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2261 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ());
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2262 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2263
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2264 static void
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2265 gripe_betaincinv_nonconformant (const dim_vector& d1, const dim_vector& d2,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2266 const dim_vector& d3)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2267 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2268 std::string d1_str = d1.str ();
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2269 std::string d2_str = d2.str ();
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2270 std::string d3_str = d3.str ();
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2271
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2272 (*current_liboctave_error_handler)
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2273 ("betaincinv: nonconformant arguments (x is %s, a is %s, b is %s)",
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2274 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ());
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2275 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2276
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2277 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2278 betainc (double x, double a, double b)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2279 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2280 double retval;
5700
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe]
jwe
parents: 5307
diff changeset
2281 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval));
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2282 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2283 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2284
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2285 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2286 betainc (double x, double a, const Array<double>& b)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2287 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2288 dim_vector dv = b.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2289 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2290
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2291 Array<double> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2292
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2293 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2294
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2295 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2296 *pretval++ = betainc (x, a, b(i));
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2297
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2298 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2299 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2300
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2301 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2302 betainc (double x, const Array<double>& a, double b)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2303 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2304 dim_vector dv = a.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2305 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2306
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2307 Array<double> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2308
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2309 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2310
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2311 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2312 *pretval++ = betainc (x, a(i), b);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2313
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2314 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2315 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2316
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2317 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2318 betainc (double x, const Array<double>& a, const Array<double>& b)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2319 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2320 Array<double> retval;
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2321 dim_vector dv = a.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2322
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2323 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2324 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2325 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2326
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2327 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2328
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2329 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2330
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2331 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2332 *pretval++ = betainc (x, a(i), b(i));
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2333 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2334 else
10258
e317791645c4 64-bit fixes
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
2335 gripe_betainc_nonconformant (dim_vector (0, 0), dv, b.dims ());
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2336
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2337 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2338 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2339
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2340 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2341 betainc (const Array<double>& x, double a, double b)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2342 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2343 dim_vector dv = x.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2344 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2345
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2346 Array<double> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2347
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2348 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2349
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2350 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2351 *pretval++ = betainc (x(i), a, b);
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2352
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2353 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2354 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2355
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2356 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2357 betainc (const Array<double>& x, double a, const Array<double>& b)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2358 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2359 Array<double> retval;
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2360 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2361
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2362 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2363 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2364 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2365
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2366 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2367
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2368 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2369
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2370 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2371 *pretval++ = betainc (x(i), a, b(i));
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2372 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2373 else
10258
e317791645c4 64-bit fixes
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
2374 gripe_betainc_nonconformant (dv, dim_vector (0, 0), b.dims ());
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2375
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2376 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2377 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2378
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2379 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2380 betainc (const Array<double>& x, const Array<double>& a, double b)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2381 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2382 Array<double> retval;
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2383 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2384
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2385 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2386 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2387 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2388
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2389 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2390
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2391 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2392
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2393 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2394 *pretval++ = betainc (x(i), a(i), b);
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2395 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2396 else
10258
e317791645c4 64-bit fixes
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
2397 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0, 0));
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2398
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2399 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2400 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2401
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2402 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2403 betainc (const Array<double>& x, const Array<double>& a, const Array<double>& b)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2404 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2405 Array<double> retval;
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2406 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2407
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2408 if (dv == a.dims () && dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2409 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2410 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2411
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2412 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2413
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2414 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2415
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2416 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2417 *pretval++ = betainc (x(i), a(i), b(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2418 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2419 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2420 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2421
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2422 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2423 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2424
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2425 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2426 betainc (float x, float a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2427 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2428 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2429 F77_XFCN (xbetai, XBETAI, (x, a, b, retval));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2430 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2431 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2432
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2433 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2434 betainc (float x, float a, const Array<float>& b)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2435 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2436 dim_vector dv = b.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2437 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2438
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2439 Array<float> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2440
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2441 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2442
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2443 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2444 *pretval++ = betainc (x, a, b(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2445
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2446 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2447 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2448
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2449 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2450 betainc (float x, const Array<float>& a, float b)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2451 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2452 dim_vector dv = a.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2453 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2454
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2455 Array<float> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2456
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2457 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2458
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2459 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2460 *pretval++ = betainc (x, a(i), b);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2461
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2462 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2463 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2464
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2465 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2466 betainc (float x, const Array<float>& a, const Array<float>& b)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2467 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2468 Array<float> retval;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2469 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2470
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2471 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2472 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2473 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2474
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2475 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2476
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2477 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2478
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2479 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2480 *pretval++ = betainc (x, a(i), b(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2481 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2482 else
10258
e317791645c4 64-bit fixes
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
2483 gripe_betainc_nonconformant (dim_vector (0, 0), dv, b.dims ());
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2484
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2485 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2486 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2487
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2488 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2489 betainc (const Array<float>& x, float a, float b)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2490 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2491 dim_vector dv = x.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2492 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2493
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2494 Array<float> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2495
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2496 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2497
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2498 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2499 *pretval++ = betainc (x(i), a, b);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2500
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2501 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2502 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2503
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2504 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2505 betainc (const Array<float>& x, float a, const Array<float>& b)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2506 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2507 Array<float> retval;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2508 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2509
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2510 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2511 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2512 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2513
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2514 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2515
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2516 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2517
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2518 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2519 *pretval++ = betainc (x(i), a, b(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2520 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2521 else
10258
e317791645c4 64-bit fixes
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
2522 gripe_betainc_nonconformant (dv, dim_vector (0, 0), b.dims ());
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2523
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2524 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2525 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2526
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2527 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2528 betainc (const Array<float>& x, const Array<float>& a, float b)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2529 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2530 Array<float> retval;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2531 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2532
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2533 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2534 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2535 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2536
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2537 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2538
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2539 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2540
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2541 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2542 *pretval++ = betainc (x(i), a(i), b);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2543 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2544 else
10258
e317791645c4 64-bit fixes
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
2545 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0, 0));
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2546
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2547 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2548 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2549
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2550 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2551 betainc (const Array<float>& x, const Array<float>& a, const Array<float>& b)
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2552 {
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2553 Array<float> retval;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2554 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2556 if (dv == a.dims () && dv == b.dims ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2557 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2558 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2559
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2560 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2561
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2562 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2563
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2564 for (octave_idx_type i = 0; i < nel; i++)
14815
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents: 14786
diff changeset
2565 *pretval++ = betainc (x(i), a(i), b(i));
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2566 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2567 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2568 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2569
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2570 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2571 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2572
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2573 // FIXME: there is still room for improvement here...
3164
45490c020e47 [project @ 1998-04-14 20:56:48 by jwe]
jwe
parents: 3162
diff changeset
2574
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2575 double
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2576 gammainc (double x, double a, bool& err)
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2577 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2578 double retval;
3164
45490c020e47 [project @ 1998-04-14 20:56:48 by jwe]
jwe
parents: 3162
diff changeset
2579
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2580 err = false;
3164
45490c020e47 [project @ 1998-04-14 20:56:48 by jwe]
jwe
parents: 3162
diff changeset
2581
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2582 if (a < 0.0 || x < 0.0)
18676
5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize.
Rik <rik@octave.org>
parents: 18084
diff changeset
2583 (*current_liboctave_error_handler)
5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize.
Rik <rik@octave.org>
parents: 18084
diff changeset
2584 ("gammainc: A and X must be non-negative");
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2585 else
5278
fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe]
jwe
parents: 5275
diff changeset
2586 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval));
3164
45490c020e47 [project @ 1998-04-14 20:56:48 by jwe]
jwe
parents: 3162
diff changeset
2587
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2588 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2589 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2590
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2591 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2592 gammainc (double x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2593 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2594 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2595 octave_idx_type nc = a.cols ();
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2596
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2597 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2598 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2599
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2600 bool err;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2601
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2602 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2603 for (octave_idx_type i = 0; i < nr; i++)
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2604 {
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2605 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2606
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2607 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2608 goto done;
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2609 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2610
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2611 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2612
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2613 done:
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2614
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2615 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2616 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2617
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2618 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2619 gammainc (const Matrix& x, double a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2620 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2621 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2622 octave_idx_type nc = x.cols ();
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2623
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2624 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2625 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2626
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2627 bool err;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2628
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2629 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2630 for (octave_idx_type i = 0; i < nr; i++)
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2631 {
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2632 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2633
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2634 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2635 goto done;
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2636 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2637
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2638 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2639
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2640 done:
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2641
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2642 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2643 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2644
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2645 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2646 gammainc (const Matrix& x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2647 {
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2648 Matrix result;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2649 Matrix retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2650
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2651 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2652 octave_idx_type nc = x.cols ();
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2653
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2654 octave_idx_type a_nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2655 octave_idx_type a_nc = a.cols ();
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2656
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2657 if (nr == a_nr && nc == a_nc)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2658 {
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2659 result.resize (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2660
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2661 bool err;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2662
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 4911
diff changeset
2663 for (octave_idx_type j = 0; j < nc; j++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2664 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2665 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2666 result(i,j) = gammainc (x(i,j), a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2667
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2668 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2669 goto done;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2670 }
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2671
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2672 retval = result;
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2673 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2674 else
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2675 (*current_liboctave_error_handler)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2676 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)",
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2677 nr, nc, a_nr, a_nc);
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2678
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2679 done:
4004
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe]
jwe
parents: 3887
diff changeset
2680
3146
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2681 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2682 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe]
jwe
parents:
diff changeset
2683
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2684 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2685 gammainc (double x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2686 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2687 dim_vector dv = a.dims ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2688 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2689
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2690 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2691 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2692
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2693 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2694
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2695 for (octave_idx_type i = 0; i < nel; i++)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2696 {
18084
8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents: 17769
diff changeset
2697 result(i) = gammainc (x, a(i), err);
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2698
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2699 if (err)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2700 goto done;
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2701 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2702
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2703 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2704
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2705 done:
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2706
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2707 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2708 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2709
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2710 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2711 gammainc (const NDArray& x, double a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2712 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2713 dim_vector dv = x.dims ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2714 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2715
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2716 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2717 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2718
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2719 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2720
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2721 for (octave_idx_type i = 0; i < nel; i++)
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2722 {
18084
8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents: 17769
diff changeset
2723 result(i) = gammainc (x(i), a, err);
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2724
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2725 if (err)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2726 goto done;
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2727 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2728
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2729 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2730
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2731 done:
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2732
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2733 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2734 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2735
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2736 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2737 gammainc (const NDArray& x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2738 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2739 dim_vector dv = x.dims ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2740 octave_idx_type nel = dv.numel ();
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2741
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2742 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2743 NDArray result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2744
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2745 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2746 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2747 result.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2748
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2749 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2750
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2751 for (octave_idx_type i = 0; i < nel; i++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2752 {
18084
8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents: 17769
diff changeset
2753 result(i) = gammainc (x(i), a(i), err);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2754
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2755 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2756 goto done;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2757 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2758
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2759 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2760 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2761 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2762 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2763 std::string x_str = dv.str ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2764 std::string a_str = a.dims ().str ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2765
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2766 (*current_liboctave_error_handler)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2767 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)",
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2768 x_str.c_str (), a_str. c_str ());
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2769 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2770
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2771 done:
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2772
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2773 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2774 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2775
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2776 float
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2777 gammainc (float x, float a, bool& err)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2778 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2779 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2780
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2781 err = false;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2782
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2783 if (a < 0.0 || x < 0.0)
18676
5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize.
Rik <rik@octave.org>
parents: 18084
diff changeset
2784 (*current_liboctave_error_handler)
5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize.
Rik <rik@octave.org>
parents: 18084
diff changeset
2785 ("gammainc: A and X must be non-negative");
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2786 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2787 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, retval));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2788
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2789 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2790 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2791
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2792 FloatMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2793 gammainc (float x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2794 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2795 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2796 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2797
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2798 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2799 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2800
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2801 bool err;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2802
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2803 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2804 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2805 {
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2806 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2807
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2808 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2809 goto done;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2810 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2811
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2812 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2813
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2814 done:
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2815
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2816 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2817 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2818
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2819 FloatMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2820 gammainc (const FloatMatrix& x, float a)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2821 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2822 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2823 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2824
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2825 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2826 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2827
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2828 bool err;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2829
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2830 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2831 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2832 {
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2833 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2834
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2835 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2836 goto done;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2837 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2838
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2839 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2840
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2841 done:
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2842
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2843 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2844 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2845
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2846 FloatMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2847 gammainc (const FloatMatrix& x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2848 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2849 FloatMatrix result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2850 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2851
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2852 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2853 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2854
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2855 octave_idx_type a_nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2856 octave_idx_type a_nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2857
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2858 if (nr == a_nr && nc == a_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2859 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2860 result.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2861
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2862 bool err;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2863
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2864 for (octave_idx_type j = 0; j < nc; j++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2865 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2866 {
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2867 result(i,j) = gammainc (x(i,j), a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2868
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2869 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2870 goto done;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2871 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2872
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2873 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2874 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2875 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2876 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2877 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)",
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2878 nr, nc, a_nr, a_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2879
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2880 done:
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2881
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2882 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2883 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2884
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2885 FloatNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2886 gammainc (float x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2887 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2888 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2889 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2890
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2891 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2892 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2893
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2894 bool err;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2895
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2896 for (octave_idx_type i = 0; i < nel; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2897 {
18084
8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents: 17769
diff changeset
2898 result(i) = gammainc (x, a(i), err);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2899
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2900 if (err)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2901 goto done;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2902 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2903
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2904 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2905
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2906 done:
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2907
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2908 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2909 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2910
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2911 FloatNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2912 gammainc (const FloatNDArray& x, float a)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2913 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2914 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2915 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2916
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2917 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2918 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2919
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2920 bool err;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2921
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2922 for (octave_idx_type i = 0; i < nel; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2923 {
18084
8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents: 17769
diff changeset
2924 result(i) = gammainc (x(i), a, err);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2925
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2926 if (err)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2927 goto done;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2928 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2929
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2930 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2931
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2932 done:
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2933
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2934 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2935 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2936
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2937 FloatNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2938 gammainc (const FloatNDArray& x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2939 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2940 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2941 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2942
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2943 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2944 FloatNDArray result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2945
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2946 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2947 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2948 result.resize (dv);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2949
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2950 bool err;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2951
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7638
diff changeset
2952 for (octave_idx_type i = 0; i < nel; i++)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2953 {
18084
8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents: 17769
diff changeset
2954 result(i) = gammainc (x(i), a(i), err);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
2955
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2956 if (err)
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2957 goto done;
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2958 }
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2959
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2960 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2961 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2962 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2963 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2964 std::string x_str = dv.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2965 std::string a_str = a.dims ().str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2966
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2967 (*current_liboctave_error_handler)
10314
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10258
diff changeset
2968 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)",
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
2969 x_str.c_str (), a_str.c_str ());
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2970 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2971
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
2972 done:
4844
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2973
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2974 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2975 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe]
jwe
parents: 4552
diff changeset
2976
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2977
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2978 Complex rc_log1p (double x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2979 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2980 const double pi = 3.14159265358979323846;
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
2981 return (x < -1.0
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
2982 ? Complex (gnulib::log (-(1.0 + x)), pi)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
2983 : Complex (log1p (x)));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2984 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2985
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2986 FloatComplex rc_log1p (float x)
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2987 {
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2988 const float pi = 3.14159265358979323846f;
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
2989 return (x < -1.0f
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
2990 ? FloatComplex (gnulib::logf (-(1.0f + x)), pi)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
2991 : FloatComplex (log1pf (x)));
9812
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2992 }
f80c566bc751 improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents: 9732
diff changeset
2993
9838
55219e65c7cd fix typo
Jaroslav Hajek <highegg@gmail.com>
parents: 9837
diff changeset
2994 // This algorithm is due to P. J. Acklam.
9837
7c70084b125e improve comment for 9835
Jaroslav Hajek <highegg@gmail.com>
parents: 9835
diff changeset
2995 // See http://home.online.no/~pjacklam/notes/invnorm/
7c70084b125e improve comment for 9835
Jaroslav Hajek <highegg@gmail.com>
parents: 9835
diff changeset
2996 // The rational approximation has relative accuracy 1.15e-9 in the whole region.
14781
e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv.
Rik <octave@nomad.inbox5.com>
parents: 14771
diff changeset
2997 // For doubles, it is refined by a single step of Halley's 3rd order method.
9835
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
2998 // For single precision, the accuracy is already OK, so we skip it to get
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
2999 // faster evaluation.
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3000
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3001 static double do_erfinv (double x, bool refine)
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3002 {
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3003 // Coefficients of rational approximation.
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
3004 static const double a[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3005 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3006 -2.806989788730439e+01, 1.562324844726888e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3007 -1.951109208597547e+02, 9.783370457507161e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3008 -2.168328665628878e+01, 1.772453852905383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3009 };
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
3010 static const double b[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3011 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3012 -5.447609879822406e+01, 1.615858368580409e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3013 -1.556989798598866e+02, 6.680131188771972e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3014 -1.328068155288572e+01
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3015 };
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
3016 static const double c[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3017 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3018 -5.504751339936943e-03, -2.279687217114118e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3019 -1.697592457770869e+00, -1.802933168781950e+00,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3020 3.093354679843505e+00, 2.077595676404383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3021 };
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
3022 static const double d[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3023 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3024 7.784695709041462e-03, 3.224671290700398e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3025 2.445134137142996e+00, 3.754408661907416e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3026 };
9835
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3027
14781
e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv.
Rik <octave@nomad.inbox5.com>
parents: 14771
diff changeset
3028 static const double spi2 = 8.862269254527579e-01; // sqrt(pi)/2.
9835
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3029 static const double pbreak = 0.95150;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3030 double ax = fabs (x), y;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3031
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3032 // Select case.
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3033 if (ax <= pbreak)
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3034 {
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3035 // Middle region.
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3036 const double q = 0.5 * x, r = q*q;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3037 const double yn = (((((a[0]*r + a[1])*r + a[2])*r + a[3])*r + a[4])*r + a[5])*q;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3038 const double yd = ((((b[0]*r + b[1])*r + b[2])*r + b[3])*r + b[4])*r + 1.0;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3039 y = yn / yd;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3040 }
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3041 else if (ax < 1.0)
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3042 {
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3043 // Tail region.
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3044 const double q = sqrt (-2*gnulib::log (0.5*(1-ax)));
9835
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3045 const double yn = ((((c[0]*q + c[1])*q + c[2])*q + c[3])*q + c[4])*q + c[5];
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3046 const double yd = (((d[0]*q + d[1])*q + d[2])*q + d[3])*q + 1.0;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3047 y = yn / yd * signum (-x);
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3048 }
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3049 else if (ax == 1.0)
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3050 return octave_Inf * signum (x);
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3051 else
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3052 return octave_NaN;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3053
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3054 if (refine)
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3055 {
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3056 // One iteration of Halley's method gives full precision.
14781
e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv.
Rik <octave@nomad.inbox5.com>
parents: 14771
diff changeset
3057 double u = (erf (y) - x) * spi2 * exp (y*y);
9835
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3058 y -= u / (1 + y*u);
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3059 }
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3060
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3061 return y;
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3062 }
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3063
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3064 double erfinv (double x)
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3065 {
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3066 return do_erfinv (x, true);
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3067 }
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3068
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3069 float erfinv (float x)
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3070 {
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
3071 return do_erfinv (x, false);
9835
1bb1ed717d2f implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents: 9812
diff changeset
3072 }
10391
59e34bcdff13 implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents: 10352
diff changeset
3073
14786
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3074 // The algorthim for erfcinv is an adaptation of the erfinv algorithm above
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3075 // from P. J. Acklam. It has been modified to run over the different input
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3076 // domain of erfcinv. See the notes for erfinv for an explanation.
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3077
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3078 static double do_erfcinv (double x, bool refine)
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3079 {
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3080 // Coefficients of rational approximation.
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3081 static const double a[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3082 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3083 -2.806989788730439e+01, 1.562324844726888e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3084 -1.951109208597547e+02, 9.783370457507161e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3085 -2.168328665628878e+01, 1.772453852905383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3086 };
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3087 static const double b[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3088 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3089 -5.447609879822406e+01, 1.615858368580409e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3090 -1.556989798598866e+02, 6.680131188771972e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3091 -1.328068155288572e+01
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3092 };
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3093 static const double c[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3094 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3095 -5.504751339936943e-03, -2.279687217114118e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3096 -1.697592457770869e+00, -1.802933168781950e+00,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3097 3.093354679843505e+00, 2.077595676404383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3098 };
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3099 static const double d[] =
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3100 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3101 7.784695709041462e-03, 3.224671290700398e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3102 2.445134137142996e+00, 3.754408661907416e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3103 };
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3104
14771
10ed11922f19 maint: code cleanup for new erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
3105 static const double spi2 = 8.862269254527579e-01; // sqrt(pi)/2.
14786
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3106 static const double pbreak_lo = 0.04850; // 1-pbreak
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3107 static const double pbreak_hi = 1.95150; // 1+pbreak
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3108 double y;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3109
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3110 // Select case.
14786
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3111 if (x >= pbreak_lo && x <= pbreak_hi)
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3112 {
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3113 // Middle region.
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3114 const double q = 0.5*(1-x), r = q*q;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3115 const double yn = (((((a[0]*r + a[1])*r + a[2])*r + a[3])*r + a[4])*r + a[5])*q;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3116 const double yd = ((((b[0]*r + b[1])*r + b[2])*r + b[3])*r + b[4])*r + 1.0;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3117 y = yn / yd;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3118 }
14786
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3119 else if (x > 0.0 && x < 2.0)
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3120 {
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3121 // Tail region.
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3122 const double q = (x < 1
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3123 ? sqrt (-2*gnulib::log (0.5*x))
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3124 : sqrt (-2*gnulib::log (0.5*(2-x))));
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3125
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3126 const double yn = ((((c[0]*q + c[1])*q + c[2])*q + c[3])*q + c[4])*q + c[5];
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3127
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3128 const double yd = (((d[0]*q + d[1])*q + d[2])*q + d[3])*q + 1.0;
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3129
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3130 y = yn / yd;
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3131
14786
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3132 if (x < pbreak_lo)
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14781
diff changeset
3133 y = -y;
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3134 }
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3135 else if (x == 0.0)
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3136 return octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3137 else if (x == 2.0)
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3138 return -octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3139 else
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3140 return octave_NaN;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3141
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3142 if (refine)
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3143 {
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3144 // One iteration of Halley's method gives full precision.
14771
10ed11922f19 maint: code cleanup for new erfcinv function.
Rik <octave@nomad.inbox5.com>
parents: 14770
diff changeset
3145 double u = (erf (y) - (1-x)) * spi2 * exp (y*y);
14770
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3146 y -= u / (1 + y*u);
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3147 }
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3148
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3149 return y;
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3150 }
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3151
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3152 double erfcinv (double x)
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3153 {
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3154 return do_erfcinv (x, true);
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3155 }
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3156
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3157 float erfcinv (float x)
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3158 {
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3159 return do_erfcinv (x, false);
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3160 }
cb85e836d035 New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14197
diff changeset
3161
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3162 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3163 // Incomplete Beta function ratio
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3164 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3165 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3166 // See http://people.sc.fsu.edu/~jburkardt/cpp_src/asa109/asa109.html
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3167 //
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3168 // The original code is distributed under the GNU LGPL v3 license.
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3169 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3170 // Reference:
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3171 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3172 // KL Majumder, GP Bhattacharjee,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3173 // Algorithm AS 63:
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3174 // The incomplete Beta Integral,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3175 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3176 // Volume 22, Number 3, 1973, pages 409-411.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3177 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3178 double
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3179 betain (double x, double p, double q, double beta, bool& err)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3180 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3181 double acu = 0.1E-14, ai, cx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3182 bool indx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3183 int ns;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3184 double pp, psq, qq, rx, temp, term, value, xx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3185
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3186 value = x;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3187 err = false;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3188
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3189 // Check the input arguments.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3190
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3191 if ((p <= 0.0 || q <= 0.0) || (x < 0.0 || 1.0 < x))
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3192 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3193 err = true;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3194 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3195 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3196
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3197 // Special cases.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3198
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3199 if (x == 0.0 || x == 1.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3200 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3201 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3202 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3203
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3204 // Change tail if necessary and determine S.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3205
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3206 psq = p + q;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3207 cx = 1.0 - x;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3208
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3209 if (p < psq * x)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3210 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3211 xx = cx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3212 cx = x;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3213 pp = q;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3214 qq = p;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3215 indx = true;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3216 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3217 else
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3218 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3219 xx = x;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3220 pp = p;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3221 qq = q;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3222 indx = false;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3223 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3224
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3225 term = 1.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3226 ai = 1.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3227 value = 1.0;
15217
d2220c3def3f avoid C-style cast warning
John W. Eaton <jwe@octave.org>
parents: 15084
diff changeset
3228 ns = static_cast<int> (qq + cx * psq);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3229
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3230 // Use the Soper reduction formula.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3231
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3232 rx = xx / cx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3233 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3234 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3235 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3236 rx = xx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3237 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3238
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3239 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3240 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3241 term = term * temp * rx / (pp + ai);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3242 value = value + term;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3243 temp = fabs (term);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3244
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3245 if (temp <= acu && temp <= acu * value)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3246 {
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3247 value = value * exp (pp * gnulib::log (xx)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3248 + (qq - 1.0) * gnulib::log (cx) - beta) / pp;
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3249
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3250 if (indx)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3251 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3252 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3253 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3254 break;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3255 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3256
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3257 ai = ai + 1.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3258 ns = ns - 1;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3259
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3260 if (0 <= ns)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3261 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3262 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3263 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3264 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3265 rx = xx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3266 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3267 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3268 else
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3269 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3270 temp = psq;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3271 psq = psq + 1.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3272 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3273 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3274
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3275 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3276 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3277
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3278 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3279 // Inverse of the incomplete Beta function
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3280 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3281 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3282 // See http://people.sc.fsu.edu/~jburkardt/cpp_src/asa109/asa109.html
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3283 //
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3284 // The original code is distributed under the GNU LGPL v3 license.
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3285 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3286 // Reference:
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3287 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3288 // GW Cran, KJ Martin, GE Thomas,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3289 // Remark AS R19 and Algorithm AS 109:
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3290 // A Remark on Algorithms AS 63: The Incomplete Beta Integral
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3291 // and AS 64: Inverse of the Incomplete Beta Integeral,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3292 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3293 // Volume 26, Number 1, 1977, pages 111-114.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3294 //
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3295 double
15217
d2220c3def3f avoid C-style cast warning
John W. Eaton <jwe@octave.org>
parents: 15084
diff changeset
3296 betaincinv (double y, double p, double q)
d2220c3def3f avoid C-style cast warning
John W. Eaton <jwe@octave.org>
parents: 15084
diff changeset
3297 {
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3298 double a, acu, adj, fpu, g, h;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3299 int iex;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3300 bool indx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3301 double pp, prev, qq, r, s, sae = -37.0, sq, t, tx, value, w, xin, ycur, yprev;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3302
14847
bcf86cc2f1ee Use xlgamma instead of lgamma in betaincinv for portability across systems.
Rik <octave@nomad.inbox5.com>
parents: 14846
diff changeset
3303 double beta = xlgamma (p) + xlgamma (q) - xlgamma (p + q);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3304 bool err = false;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3305 fpu = pow (10.0, sae);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3306 value = y;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3307
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3308 // Test for admissibility of parameters.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3309
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3310 if (p <= 0.0 || q <= 0.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3311 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3312 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3313 ("betaincinv: wrong parameters");
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3314 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3315
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3316 if (y < 0.0 || 1.0 < y)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3317 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3318 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3319 ("betaincinv: wrong parameter Y");
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3320 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3321
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3322 if (y == 0.0 || y == 1.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3323 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3324 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3325 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3326
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3327 // Change tail if necessary.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3328
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3329 if (0.5 < y)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3330 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3331 a = 1.0 - y;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3332 pp = q;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3333 qq = p;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3334 indx = true;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3335 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3336 else
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3337 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3338 a = y;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3339 pp = p;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3340 qq = q;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3341 indx = false;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3342 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3343
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3344 // Calculate the initial approximation.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3345
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3346 r = sqrt (- gnulib::log (a * a));
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3347
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3348 ycur = r - (2.30753 + 0.27061 * r) / (1.0 + (0.99229 + 0.04481 * r) * r);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3349
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3350 if (1.0 < pp && 1.0 < qq)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3351 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3352 r = (ycur * ycur - 3.0) / 6.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3353 s = 1.0 / (pp + pp - 1.0);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3354 t = 1.0 / (qq + qq - 1.0);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3355 h = 2.0 / (s + t);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3356 w = ycur * sqrt (h + r) / h - (t - s) * (r + 5.0 / 6.0 - 2.0 / (3.0 * h));
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3357 value = pp / (pp + qq * exp (w + w));
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3358 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3359 else
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3360 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3361 r = qq + qq;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3362 t = 1.0 / (9.0 * qq);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3363 t = r * pow (1.0 - t + ycur * sqrt (t), 3);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3364
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3365 if (t <= 0.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3366 {
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3367 value = 1.0 - exp ((gnulib::log ((1.0 - a) * qq) + beta) / qq);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3368 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3369 else
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3370 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3371 t = (4.0 * pp + r - 2.0) / t;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3372
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3373 if (t <= 1.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3374 {
19375
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime
John W. Eaton <jwe@octave.org>
parents: 19358
diff changeset
3375 value = exp ((gnulib::log (a * pp) + beta) / pp);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3376 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3377 else
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3378 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3379 value = 1.0 - 2.0 / (t + 1.0);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3380 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3381 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3382 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3383
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3384 // Solve for X by a modified Newton-Raphson method,
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3385 // using the function BETAIN.
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3386
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3387 r = 1.0 - pp;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3388 t = 1.0 - qq;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3389 yprev = 0.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3390 sq = 1.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3391 prev = 1.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3392
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3393 if (value < 0.0001)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3394 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3395 value = 0.0001;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3396 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3397
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3398 if (0.9999 < value)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3399 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3400 value = 0.9999;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3401 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3402
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3403 iex = std::max (- 5.0 / pp / pp - 1.0 / pow (a, 0.2) - 13.0, sae);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3404
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3405 acu = pow (10.0, iex);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3406
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3407 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3408 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3409 ycur = betain (value, pp, qq, beta, err);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3410
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3411 if (err)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3412 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3413 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3414 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3415
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3416 xin = value;
18928
161ebb78ac1b use gnulib::log and gnulib::logf functions
John W. Eaton <jwe@octave.org>
parents: 18678
diff changeset
3417 ycur = (ycur - a) * exp (beta + r * gnulib::log (xin)
161ebb78ac1b use gnulib::log and gnulib::logf functions
John W. Eaton <jwe@octave.org>
parents: 18678
diff changeset
3418 + t * gnulib::log (1.0 - xin));
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3419
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3420 if (ycur * yprev <= 0.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3421 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3422 prev = std::max (sq, fpu);
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3423 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3424
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3425 g = 1.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3426
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3427 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3428 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3429 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3430 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3431 adj = g * ycur;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3432 sq = adj * adj;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3433
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3434 if (sq < prev)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3435 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3436 tx = value - adj;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3437
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3438 if (0.0 <= tx && tx <= 1.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3439 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3440 break;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3441 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3442 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3443 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3444 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3445
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3446 if (prev <= acu)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3447 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3448 if (indx)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3449 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3450 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3451 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3452 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3453 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3454
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3455 if (ycur * ycur <= acu)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3456 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3457 if (indx)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3458 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3459 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3460 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3461 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3462 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3463
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3464 if (tx != 0.0 && tx != 1.0)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3465 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3466 break;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3467 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3468
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3469 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3470 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3471
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3472 if (tx == value)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3473 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3474 break;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3475 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3476
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3477 value = tx;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3478 yprev = ycur;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3479 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3480
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3481 if (indx)
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3482 {
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3483 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3484 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3485
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3486 return value;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3487 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3488
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3489 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3490 betaincinv (double x, double a, const Array<double>& b)
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3491 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3492 dim_vector dv = b.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3493 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3494
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3495 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3496
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3497 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3498
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3499 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3500 *pretval++ = betaincinv (x, a, b(i));
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3501
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3502 return retval;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3503 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3504
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3505 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3506 betaincinv (double x, const Array<double>& a, double b)
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3507 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3508 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3509 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3510
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3511 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3512
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3513 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3514
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3515 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3516 *pretval++ = betaincinv (x, a(i), b);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3517
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3518 return retval;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3519 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3520
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3521 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3522 betaincinv (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
3523 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3524 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3525 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3526
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3527 if (dv == b.dims ())
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3528 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3529 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3530
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3531 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3532
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3533 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3534
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3535 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3536 *pretval++ = betaincinv (x, a(i), b(i));
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3537 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3538 else
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3539 gripe_betaincinv_nonconformant (dim_vector (0, 0), dv, b.dims ());
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3540
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3541 return retval;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3542 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3543
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3544 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3545 betaincinv (const Array<double>& x, double a, double b)
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3546 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3547 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3548 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3549
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3550 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3551
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3552 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3553
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3554 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3555 *pretval++ = betaincinv (x(i), a, b);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3556
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3557 return retval;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3558 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3559
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3560 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3561 betaincinv (const Array<double>& x, double a, const Array<double>& b)
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3562 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3563 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3564 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3565
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3566 if (dv == b.dims ())
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3567 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3568 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3569
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3570 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3571
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3572 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3573
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3574 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3575 *pretval++ = betaincinv (x(i), a, b(i));
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3576 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3577 else
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3578 gripe_betaincinv_nonconformant (dv, dim_vector (0, 0), b.dims ());
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3579
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3580 return retval;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3581 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3582
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3583 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3584 betaincinv (const Array<double>& x, const Array<double>& a, double b)
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3585 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3586 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3587 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3588
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3589 if (dv == a.dims ())
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3590 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3591 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3592
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3593 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3594
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3595 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3596
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3597 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3598 *pretval++ = betaincinv (x(i), a(i), b);
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3599 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3600 else
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3601 gripe_betaincinv_nonconformant (dv, a.dims (), dim_vector (0, 0));
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3602
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3603 return retval;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3604 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3605
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3606 Array<double>
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3607 betaincinv (const Array<double>& x, const Array<double>& a,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3608 const Array<double>& b)
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3609 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3610 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3611 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3612
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3613 if (dv == a.dims () && dv == b.dims ())
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3614 {
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3615 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3616
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3617 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3618
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3619 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3620
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3621 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3622 *pretval++ = betaincinv (x(i), a(i), b(i));
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3623 }
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3624 else
14817
67897baaa05f Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents: 14816
diff changeset
3625 gripe_betaincinv_nonconformant (dv, a.dims (), b.dims ());
14816
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3626
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3627 return retval;
0a868d90436b New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents: 14815
diff changeset
3628 }
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3629
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3630 void
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3631 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: 15852
diff changeset
3632 {
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3633 static const int Nmax = 16;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3634 double m1, t=0, si_u, co_u, se_u, ta_u, b, c[Nmax], a[Nmax], phi;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3635 int n, Nn, ii;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3636
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3637 if (m < 0 || m > 1)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3638 {
19410
95c533ed464b use warning IDs for all warnings in liboctave
John W. Eaton <jwe@octave.org>
parents: 19377
diff changeset
3639 (*current_liboctave_warning_with_id_handler)
95c533ed464b use warning IDs for all warnings in liboctave
John W. Eaton <jwe@octave.org>
parents: 19377
diff changeset
3640 ("Octave:ellipj-invalid-m", "ellipj: expecting 0 <= M <= 1");
95c533ed464b use warning IDs for all warnings in liboctave
John W. Eaton <jwe@octave.org>
parents: 19377
diff changeset
3641
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3642 sn = cn = dn = lo_ieee_nan_value ();
19410
95c533ed464b use warning IDs for all warnings in liboctave
John W. Eaton <jwe@octave.org>
parents: 19377
diff changeset
3643
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3644 return;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3645 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3646
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3647 double sqrt_eps = sqrt (std::numeric_limits<double>::epsilon ());
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3648 if (m < sqrt_eps)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3649 {
18678
6113e0c6920b maint: Clean up extra spaces before/after parentheses.
Rik <rik@octave.org>
parents: 18676
diff changeset
3650 // For small m, (Abramowitz and Stegun, Section 16.13)
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3651 si_u = sin (u);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3652 co_u = cos (u);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3653 t = 0.25*m*(u - si_u*co_u);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3654 sn = si_u - t * co_u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3655 cn = co_u + t * si_u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3656 dn = 1 - 0.5*m*si_u*si_u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3657 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3658 else if ((1 - m) < sqrt_eps)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3659 {
18678
6113e0c6920b maint: Clean up extra spaces before/after parentheses.
Rik <rik@octave.org>
parents: 18676
diff changeset
3660 // For m1 = (1-m) small (Abramowitz and Stegun, Section 16.15)
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3661 m1 = 1 - m;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3662 si_u = sinh (u);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3663 co_u = cosh (u);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3664 ta_u = tanh (u);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3665 se_u = 1/co_u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3666 sn = ta_u + 0.25*m1*(si_u*co_u - u)*se_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3667 cn = se_u - 0.25*m1*(si_u*co_u - u)*ta_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3668 dn = se_u + 0.25*m1*(si_u*co_u + u)*ta_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3669 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3670 else
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3671 {
18678
6113e0c6920b maint: Clean up extra spaces before/after parentheses.
Rik <rik@octave.org>
parents: 18676
diff changeset
3672 // Arithmetic-Geometric Mean (AGM) algorithm
6113e0c6920b maint: Clean up extra spaces before/after parentheses.
Rik <rik@octave.org>
parents: 18676
diff changeset
3673 // (Abramowitz and Stegun, Section 16.4)
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3674 a[0] = 1;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3675 b = sqrt (1 - m);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3676 c[0] = sqrt (m);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3677 for (n = 1; n < Nmax; ++n)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3678 {
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3679 a[n] = (a[n - 1] + b)/2;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3680 c[n] = (a[n - 1] - b)/2;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3681 b = sqrt (a[n - 1]*b);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3682 if (c[n]/a[n] < std::numeric_limits<double>::epsilon ()) break;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3683 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3684 if (n >= Nmax - 1)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3685 {
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3686 err = 1;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3687 return;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3688 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3689 Nn = n;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3690 for (ii = 1; n > 0; ii = ii*2, --n) ; // ii = pow(2,Nn)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3691 phi = ii*a[Nn]*u;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3692 for (n = Nn; n > 0; --n)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3693 {
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3694 phi = (asin ((c[n]/a[n])* sin (phi)) + phi)/2;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3695 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3696 sn = sin (phi);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3697 cn = cos (phi);
19200
068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents: 18928
diff changeset
3698 dn = sqrt (1 - m*sn*sn);
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3699 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3700 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3701
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3702 void
17769
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3703 ellipj (const Complex& u, double m, Complex& sn, Complex& cn, Complex& dn,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
3704 double& err)
17502
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3705 {
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3706 double m1 = 1 - m, ss1, cc1, dd1;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3707
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3708 ellipj (imag (u), m1, ss1, cc1, dd1, err);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3709 if (real (u) == 0)
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3710 {
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3711 // u is pure imag: Jacoby imag. transf.
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3712 sn = Complex (0, ss1/cc1);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3713 cn = 1/cc1; // cn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3714 dn = dd1/cc1; // dn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3715 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3716 else
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3717 {
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3718 // u is generic complex
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3719 double ss, cc, dd, ddd;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3720
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3721 ellipj (real (u), m, ss, cc, dd, err);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3722 ddd = cc1*cc1 + m*ss*ss*ss1*ss1;
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3723 sn = Complex (ss*dd1/ddd, cc*dd*ss1*cc1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3724 cn = Complex (cc*cc1/ddd, -ss*dd*ss1*dd1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3725 dn = Complex (dd*cc1*dd1/ddd, -m*ss*cc*ss1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3726 }
578805a293e5 ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents: 15852
diff changeset
3727 }