Mercurial > octave
annotate libinterp/corefcn/__betainc__.cc @ 29958:32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
* mk-opts.pl: Surround emitted function definitions with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
* mk-builtins.pl: Surround emitted function declarations with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated
global inline functions.
* __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc,
__expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc,
__lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc,
amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc,
ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc,
daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc,
defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc,
dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc,
fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc,
interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc,
pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc,
rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc,
spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc,
syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc,
typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc,
__voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc,
gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc,
ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc,
octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround
DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN
and OCTAVE_NAMESPACE_END tags.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Fri, 13 Aug 2021 21:53:51 -0400 |
parents | 7854d5752dd2 |
children | 7d6709900da7 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2018-2021 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
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25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
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28 #endif |
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29 |
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30 #include "defun.h" |
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31 #include "dNDArray.h" |
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32 #include "fNDArray.h" |
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33 |
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34 OCTAVE_NAMESPACE_BEGIN |
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35 |
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36 DEFUN (__betainc__, args, , |
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37 doc: /* -*- texinfo -*- |
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38 @deftypefn {} {@var{y} =} __betainc__ (@var{x}, @var{a}, @var{b}) |
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39 Continued fraction for incomplete beta function. |
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40 @end deftypefn */) |
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41 { |
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42 if (args.length () != 3) |
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43 print_usage (); |
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44 |
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45 bool is_single = (args(0).is_single_type () || args(1).is_single_type () |
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46 || args(2).is_single_type ()); |
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47 |
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48 // Total number of scenarios: get maximum of length of all vectors |
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49 int numel_x = args(0).numel (); |
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50 int numel_a = args(1).numel (); |
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51 int numel_b = args(2).numel (); |
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52 int len = std::max (std::max (numel_x, numel_a), numel_b); |
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53 |
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54 octave_value_list retval; |
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55 // Initialize output dimension vector |
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56 dim_vector output_dv (len, 1); |
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57 |
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58 // Lentz's algorithm in two cases: single and double precision |
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59 if (is_single) |
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60 { |
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61 // Initialize output and inputs |
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62 FloatColumnVector output (output_dv); |
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63 FloatNDArray x, a, b; |
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64 |
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65 if (numel_x == 1) |
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66 x = FloatNDArray (output_dv, args(0).float_scalar_value ()); |
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67 else |
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68 x = args(0).float_array_value (); |
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69 |
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70 |
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71 if (numel_a == 1) |
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72 a = FloatNDArray (output_dv, args(1).float_scalar_value ()); |
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73 else |
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74 a = args(1).float_array_value (); |
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75 |
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76 if (numel_b == 1) |
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77 b = FloatNDArray (output_dv, args(2).float_scalar_value ()); |
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78 else |
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79 b = args(2).float_array_value (); |
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80 |
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81 // Initialize variables used in algorithm |
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82 static const float tiny = octave::math::exp2 (-50.0f); |
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83 static const float eps = std::numeric_limits<float>::epsilon (); |
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84 float xj, x2, y, Cj, Dj, aj, bj, Deltaj, alpha_j, beta_j; |
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85 int j, maxit; |
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86 maxit = 200; |
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87 |
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88 // Loop over all elements |
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89 for (octave_idx_type i = 0; i < len; ++i) |
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90 { |
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91 // Catch Ctrl+C |
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92 OCTAVE_QUIT; |
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93 |
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94 // Variable initialization for the current element |
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95 xj = x(i); |
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96 y = tiny; |
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97 Cj = y; |
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98 Dj = 0; |
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99 aj = a(i); |
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100 bj = b(i); |
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101 Deltaj = 0; |
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102 alpha_j = 1; |
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103 beta_j = aj - (aj * (aj + bj)) / (aj + 1) * xj; |
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104 x2 = xj * xj; |
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105 j = 1; |
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106 |
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107 // Lentz's algorithm |
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108 while ((std::abs ((Deltaj - 1)) > eps) && (j < maxit)) |
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109 { |
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110 Dj = beta_j + alpha_j * Dj; |
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111 if (Dj == 0) |
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112 Dj = tiny; |
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113 Cj = beta_j + alpha_j / Cj; |
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114 if (Cj == 0) |
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115 Cj = tiny; |
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116 Dj = 1 / Dj; |
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117 Deltaj = Cj * Dj; |
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118 y *= Deltaj; |
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119 alpha_j = ((aj + j - 1) * (aj + bj + j -1) * (bj - j) * j) |
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120 / ((aj + 2 * j - 1) * (aj + 2 * j - 1)) * x2; |
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121 beta_j = aj + 2 * j + ((j * (bj - j)) / (aj + 2 * j - 1) |
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122 - ((aj + j) * (aj + bj + j)) / (aj + 2 * j + 1)) * xj; |
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123 j++; |
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124 } |
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125 |
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126 output(i) = y; |
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127 } |
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128 |
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129 retval(0) = output; |
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130 } |
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131 else |
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132 { |
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133 // Initialize output and inputs |
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134 ColumnVector output (output_dv); |
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135 NDArray x, a, b; |
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136 |
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137 if (numel_x == 1) |
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138 x = NDArray (output_dv, args(0).scalar_value ()); |
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139 else |
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140 x = args(0).array_value (); |
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141 |
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142 if (numel_a == 1) |
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143 a = NDArray (output_dv, args(1).scalar_value ()); |
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144 else |
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145 a = args(1).array_value (); |
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146 |
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147 if (numel_b == 1) |
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148 b = NDArray (output_dv, args(2).scalar_value ()); |
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149 else |
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150 b = args(2).array_value (); |
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151 |
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152 // Initialize variables used in algorithm |
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153 static const double tiny = octave::math::exp2 (-100.0); |
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154 static const double eps = std::numeric_limits<double>::epsilon (); |
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155 double xj, x2, y, Cj, Dj, aj, bj, Deltaj, alpha_j, beta_j; |
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156 int j, maxit; |
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157 maxit = 200; |
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158 |
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159 // Loop over all elements |
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160 for (octave_idx_type i = 0; i < len; ++i) |
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161 { |
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162 // Catch Ctrl+C |
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163 OCTAVE_QUIT; |
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164 |
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165 // Variable initialization for the current element |
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166 xj = x(i); |
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167 y = tiny; |
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168 Cj = y; |
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169 Dj = 0; |
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170 aj = a(i); |
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171 bj = b(i); |
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172 Deltaj = 0; |
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173 alpha_j = 1; |
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174 beta_j = aj - (aj * (aj + bj)) / (aj + 1) * xj; |
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175 x2 = xj * xj; |
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176 j = 1; |
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177 |
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178 // Lentz's algorithm |
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179 while ((std::abs ((Deltaj - 1)) > eps) && (j < maxit)) |
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180 { |
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181 Dj = beta_j + alpha_j * Dj; |
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182 if (Dj == 0) |
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183 Dj = tiny; |
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184 Cj = beta_j + alpha_j / Cj; |
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185 if (Cj == 0) |
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186 Cj = tiny; |
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187 Dj = 1 / Dj; |
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188 Deltaj = Cj * Dj; |
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189 y *= Deltaj; |
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190 alpha_j = ((aj + j - 1) * (aj + bj + j - 1) * (bj - j) * j) |
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191 / ((aj + 2 * j - 1) * (aj + 2 * j - 1)) * x2; |
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192 beta_j = aj + 2 * j + ((j * (bj - j)) / (aj + 2 * j - 1) |
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193 - ((aj + j) * (aj + bj + j)) / (aj + 2 * j + 1)) * xj; |
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194 j++; |
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195 } |
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196 |
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197 output(i) = y; |
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198 } |
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199 |
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200 retval(0) = output; |
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201 } |
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202 |
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203 return retval; |
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204 } |
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205 |
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206 OCTAVE_NAMESPACE_END |