Mercurial > octave-nkf
annotate libinterp/dldfcn/chol.cc @ 20198:075a5e2e1ba5 stable
doc: Update more docstrings to have one sentence summary as first line.
Reviewed build-aux, libinterp/dldfcn, libinterp/octave-value,
libinterp/parse-tree directories.
* build-aux/mk-opts.pl, libinterp/dldfcn/__magick_read__.cc,
libinterp/dldfcn/amd.cc, libinterp/dldfcn/audiodevinfo.cc,
libinterp/dldfcn/audioread.cc, libinterp/dldfcn/ccolamd.cc,
libinterp/dldfcn/chol.cc, libinterp/dldfcn/colamd.cc,
libinterp/dldfcn/convhulln.cc, libinterp/dldfcn/dmperm.cc,
libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc, libinterp/dldfcn/symbfact.cc,
libinterp/dldfcn/symrcm.cc, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-bool-mat.cc, libinterp/octave-value/ov-cell.cc,
libinterp/octave-value/ov-class.cc, libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-null-mat.cc, libinterp/octave-value/ov-oncleanup.cc,
libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-typeinfo.cc, libinterp/octave-value/ov-usr-fcn.cc,
libinterp/octave-value/ov.cc, libinterp/parse-tree/lex.ll,
libinterp/parse-tree/oct-parse.in.yy, libinterp/parse-tree/pt-binop.cc,
libinterp/parse-tree/pt-eval.cc, libinterp/parse-tree/pt-mat.cc:
doc: Update more docstrings to have one sentence summary as first line.
author | Rik <rik@octave.org> |
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date | Sun, 03 May 2015 21:52:42 -0700 |
parents | 17d647821d61 |
children | 5ce959c55cc0 |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
11523 | 4 Copyright (C) 2008-2009 Jaroslav Hajek |
5 Copyright (C) 2008-2009 VZLU Prague | |
2928 | 6 |
7 This file is part of Octave. | |
8 | |
9 Octave is free software; you can redistribute it and/or modify it | |
10 under the terms of the GNU General Public License as published by the | |
7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
12 option) any later version. | |
2928 | 13 |
14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
17 for more details. | |
18 | |
19 You should have received a copy of the GNU General Public License | |
7016 | 20 along with Octave; see the file COPYING. If not, see |
21 <http://www.gnu.org/licenses/>. | |
2928 | 22 |
23 */ | |
24 | |
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25 |
2928 | 26 #ifdef HAVE_CONFIG_H |
27 #include <config.h> | |
28 #endif | |
29 | |
30 #include "CmplxCHOL.h" | |
31 #include "dbleCHOL.h" | |
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32 #include "fCmplxCHOL.h" |
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33 #include "floatCHOL.h" |
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34 #include "SparseCmplxCHOL.h" |
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35 #include "SparsedbleCHOL.h" |
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36 #include "oct-spparms.h" |
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37 #include "sparse-util.h" |
2928 | 38 |
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39 #include "ov-re-sparse.h" |
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40 #include "ov-cx-sparse.h" |
2928 | 41 #include "defun-dld.h" |
42 #include "error.h" | |
43 #include "gripes.h" | |
44 #include "oct-obj.h" | |
45 #include "utils.h" | |
46 | |
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47 template <class CHOLT> |
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48 static octave_value |
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49 get_chol_r (const CHOLT& fact) |
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50 { |
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51 return octave_value (fact.chol_matrix (), |
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52 MatrixType (MatrixType::Upper)); |
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53 } |
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54 |
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55 template <class CHOLT> |
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56 static octave_value |
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57 get_chol_l (const CHOLT& fact) |
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58 { |
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59 return octave_value (fact.chol_matrix ().transpose (), |
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60 MatrixType (MatrixType::Lower)); |
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61 } |
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62 |
2928 | 63 DEFUN_DLD (chol, args, nargout, |
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64 "-*- texinfo -*-\n\ |
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65 @deftypefn {Loadable Function} {@var{R} =} chol (@var{A})\n\ |
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66 @deftypefnx {Loadable Function} {[@var{R}, @var{p}] =} chol (@var{A})\n\ |
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67 @deftypefnx {Loadable Function} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S})\n\ |
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68 @deftypefnx {Loadable Function} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S}, \"vector\")\n\ |
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69 @deftypefnx {Loadable Function} {[@var{L}, @dots{}] =} chol (@dots{}, \"lower\")\n\ |
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70 @deftypefnx {Loadable Function} {[@var{L}, @dots{}] =} chol (@dots{}, \"upper\")\n\ |
3372 | 71 @cindex Cholesky factorization\n\ |
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72 Compute the Cholesky@tie{}factor, @var{R}, of the symmetric positive definite\n\ |
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73 matrix @var{A}.\n\ |
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74 \n\ |
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75 The Cholesky@tie{}factor is defined by\n\ |
3372 | 76 @tex\n\ |
77 $ R^T R = A $.\n\ | |
78 @end tex\n\ | |
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79 @ifnottex\n\ |
3372 | 80 \n\ |
81 @example\n\ | |
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82 @var{R}' * @var{R} = @var{A}.\n\ |
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83 @end example\n\ |
10840 | 84 \n\ |
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85 @end ifnottex\n\ |
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86 \n\ |
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87 Called with one output argument @code{chol} fails if @var{A} or @var{S} is\n\ |
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88 not positive definite. With two or more output arguments @var{p} flags\n\ |
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89 whether the matrix was positive definite and @code{chol} does not fail. A\n\ |
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90 zero value indicated that the matrix was positive definite and the @var{R}\n\ |
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91 gives the factorization, and @var{p} will have a positive value otherwise.\n\ |
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92 \n\ |
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93 If called with 3 outputs then a sparsity preserving row/column permutation\n\ |
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94 is applied to @var{A} prior to the factorization. That is @var{R} is the\n\ |
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95 factorization of @code{@var{A}(@var{Q},@var{Q})} such that\n\ |
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96 @tex\n\ |
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97 $ R^T R = Q^T A Q$.\n\ |
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98 @end tex\n\ |
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99 @ifnottex\n\ |
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100 \n\ |
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101 @example\n\ |
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102 @var{R}' * @var{R} = @var{Q}' * @var{A} * @var{Q}.\n\ |
3372 | 103 @end example\n\ |
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105 @end ifnottex\n\ |
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106 \n\ |
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107 The sparsity preserving permutation is generally returned as a matrix.\n\ |
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108 However, given the flag @qcode{\"vector\"}, @var{Q} will be returned as a\n\ |
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109 vector such that\n\ |
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110 @tex\n\ |
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111 $ R^T R = A (Q, Q)$.\n\ |
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112 @end tex\n\ |
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113 @ifnottex\n\ |
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114 \n\ |
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115 @example\n\ |
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116 @var{R}' * @var{R} = @var{A}(@var{Q}, @var{Q}).\n\ |
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117 @end example\n\ |
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119 @end ifnottex\n\ |
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120 \n\ |
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121 Called with either a sparse or full matrix and using the @qcode{\"lower\"}\n\ |
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122 flag, @code{chol} returns the lower triangular factorization such that\n\ |
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123 @tex\n\ |
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124 $ L L^T = A $.\n\ |
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125 @end tex\n\ |
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126 @ifnottex\n\ |
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127 \n\ |
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128 @example\n\ |
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129 @var{L} * @var{L}' = @var{A}.\n\ |
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130 @end example\n\ |
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132 @end ifnottex\n\ |
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133 \n\ |
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134 For full matrices, if the @qcode{\"lower\"} flag is set only the lower\n\ |
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135 triangular part of the matrix is used for the factorization, otherwise the\n\ |
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136 upper triangular part is used.\n\ |
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137 \n\ |
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138 In general the lower triangular factorization is significantly faster for\n\ |
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139 sparse matrices.\n\ |
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140 @seealso{hess, lu, qr, qz, schur, svd, ichol, cholinv, chol2inv, cholupdate, cholinsert, choldelete, cholshift}\n\ |
3372 | 141 @end deftypefn") |
2928 | 142 { |
143 octave_value_list retval; | |
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144 int nargin = args.length (); |
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145 bool LLt = false; |
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146 bool vecout = false; |
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148 if (nargin < 1 || nargin > 3 || nargout > 3 |
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149 || (! args(0).is_sparse_type () && nargout > 2)) |
2928 | 150 { |
5823 | 151 print_usage (); |
2928 | 152 return retval; |
153 } | |
154 | |
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155 int n = 1; |
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156 while (n < nargin && ! error_state) |
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157 { |
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158 std::string tmp = args(n++).string_value (); |
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159 |
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160 if (! error_state) |
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161 { |
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162 if (tmp.compare ("vector") == 0) |
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163 vecout = true; |
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164 else if (tmp.compare ("lower") == 0) |
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165 // FIXME: currently the option "lower" is handled by transposing |
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166 // the matrix, factorizing it with the lapack function |
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167 // DPOTRF ('U', ...) and finally transposing the factor. It would |
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168 // be more efficient to use DPOTRF ('L', ...) in this case. |
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169 LLt = true; |
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170 else if (tmp.compare ("upper") == 0) |
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171 LLt = false; |
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172 else |
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173 error ("chol: unexpected second or third input"); |
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174 } |
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175 else |
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176 error ("chol: expecting trailing string arguments"); |
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177 } |
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179 if (! error_state) |
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180 { |
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181 octave_value arg = args(0); |
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182 |
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183 octave_idx_type nr = arg.rows (); |
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184 octave_idx_type nc = arg.columns (); |
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185 |
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186 int arg_is_empty = empty_arg ("chol", nr, nc); |
2928 | 187 |
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188 if (arg_is_empty < 0) |
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189 return retval; |
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190 if (arg_is_empty > 0) |
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191 return octave_value (Matrix ()); |
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192 |
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193 if (arg.is_sparse_type ()) |
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194 { |
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195 octave_idx_type info; |
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196 bool natural = (nargout != 3); |
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197 bool force = nargout > 1; |
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198 |
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199 if (arg.is_real_type ()) |
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200 { |
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201 SparseMatrix m = arg.sparse_matrix_value (); |
2928 | 202 |
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203 if (! error_state) |
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204 { |
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205 SparseCHOL fact (m, info, natural, force); |
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206 |
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207 if (nargout == 3) |
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208 { |
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209 if (vecout) |
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210 retval(2) = fact.perm (); |
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211 else |
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212 retval(2) = fact.Q (); |
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213 } |
2928 | 214 |
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215 if (nargout > 1 || info == 0) |
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216 { |
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217 retval(1) = info; |
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218 if (LLt) |
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219 retval(0) = fact.L (); |
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220 else |
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221 retval(0) = fact.R (); |
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222 } |
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223 else |
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224 error ("chol: input matrix must be positive definite"); |
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225 } |
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226 } |
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227 else if (arg.is_complex_type ()) |
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228 { |
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229 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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230 |
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231 if (! error_state) |
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232 { |
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233 SparseComplexCHOL fact (m, info, natural, force); |
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234 |
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235 if (nargout == 3) |
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236 { |
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237 if (vecout) |
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238 retval(2) = fact.perm (); |
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239 else |
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240 retval(2) = fact.Q (); |
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241 } |
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242 |
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243 if (nargout > 1 || info == 0) |
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244 { |
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245 retval(1) = info; |
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246 if (LLt) |
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247 retval(0) = fact.L (); |
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248 else |
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249 retval(0) = fact.R (); |
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250 } |
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251 else |
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252 error ("chol: input matrix must be positive definite"); |
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253 } |
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254 } |
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255 else |
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256 gripe_wrong_type_arg ("chol", arg); |
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257 } |
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258 else if (arg.is_single_type ()) |
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259 { |
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260 if (arg.is_real_type ()) |
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261 { |
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262 FloatMatrix m = arg.float_matrix_value (); |
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263 |
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264 if (! error_state) |
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265 { |
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266 octave_idx_type info; |
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267 |
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268 FloatCHOL fact; |
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269 if (LLt) |
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270 fact = FloatCHOL (m.transpose (), info); |
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271 else |
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272 fact = FloatCHOL (m, info); |
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273 |
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274 if (nargout == 2 || info == 0) |
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275 { |
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276 retval(1) = info; |
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277 if (LLt) |
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278 retval(0) = get_chol_l (fact); |
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279 else |
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280 retval(0) = get_chol_r (fact); |
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281 } |
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282 else |
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283 error ("chol: input matrix must be positive definite"); |
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284 } |
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285 } |
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286 else if (arg.is_complex_type ()) |
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287 { |
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288 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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289 |
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290 if (! error_state) |
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291 { |
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292 octave_idx_type info; |
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293 |
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294 FloatComplexCHOL fact; |
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295 if (LLt) |
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296 fact = FloatComplexCHOL (m.transpose (), info); |
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297 else |
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298 fact = FloatComplexCHOL (m, info); |
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299 |
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300 if (nargout == 2 || info == 0) |
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301 { |
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302 retval(1) = info; |
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303 if (LLt) |
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304 retval(0) = get_chol_l (fact); |
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305 else |
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306 retval(0) = get_chol_r (fact); |
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307 } |
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308 else |
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309 error ("chol: input matrix must be positive definite"); |
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310 } |
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311 } |
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312 else |
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313 gripe_wrong_type_arg ("chol", arg); |
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314 } |
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315 else |
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316 { |
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317 if (arg.is_real_type ()) |
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318 { |
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319 Matrix m = arg.matrix_value (); |
2928 | 320 |
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321 if (! error_state) |
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322 { |
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323 octave_idx_type info; |
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324 |
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325 CHOL fact; |
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326 if (LLt) |
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327 fact = CHOL (m.transpose (), info); |
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328 else |
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329 fact = CHOL (m, info); |
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330 |
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331 if (nargout == 2 || info == 0) |
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332 { |
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333 retval(1) = info; |
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334 if (LLt) |
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335 retval(0) = get_chol_l (fact); |
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336 else |
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337 retval(0) = get_chol_r (fact); |
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338 } |
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339 else |
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340 error ("chol: input matrix must be positive definite"); |
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341 } |
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342 } |
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343 else if (arg.is_complex_type ()) |
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344 { |
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345 ComplexMatrix m = arg.complex_matrix_value (); |
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|
346 |
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347 if (! error_state) |
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348 { |
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349 octave_idx_type info; |
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350 |
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351 ComplexCHOL fact; |
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352 if (LLt) |
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353 fact = ComplexCHOL (m.transpose (), info); |
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354 else |
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|
355 fact = ComplexCHOL (m, info); |
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|
356 |
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357 if (nargout == 2 || info == 0) |
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358 { |
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|
359 retval(1) = info; |
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360 if (LLt) |
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361 retval(0) = get_chol_l (fact); |
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362 else |
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363 retval(0) = get_chol_r (fact); |
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364 } |
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|
365 else |
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|
366 error ("chol: input matrix must be positive definite"); |
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|
367 } |
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|
368 } |
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369 else |
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|
370 gripe_wrong_type_arg ("chol", arg); |
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|
371 } |
2928 | 372 } |
373 | |
374 return retval; | |
375 } | |
376 | |
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377 /* |
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|
378 %!assert (chol ([2, 1; 1, 1]), [sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)], sqrt (eps)) |
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|
379 %!assert (chol (single ([2, 1; 1, 1])), single ([sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)]), sqrt (eps ("single"))) |
18920
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diff
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|
380 %!testif HAVE_CHOLMOD |
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|
381 %! ## Bug #42587 |
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|
382 %! A = sparse ([1 0 8;0 1 8;8 8 1]); |
161b11e7da2d
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|
383 %! [Q, p] = chol (A); |
161b11e7da2d
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|
384 %! assert (p != 0); |
7814
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Second set of single precision test code and fix of resulting bugs
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|
385 |
14854
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|
386 %!error chol () |
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|
387 %!error <matrix must be positive definite> chol ([1, 2; 3, 4]) |
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|
388 %!error <requires square matrix> chol ([1, 2; 3, 4; 5, 6]) |
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|
389 %!error <unexpected second or third input> chol (1, 2) |
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|
390 */ |
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|
391 |
5760 | 392 DEFUN_DLD (cholinv, args, , |
17787
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|
393 "-*- texinfo -*-\n\ |
11553
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|
394 @deftypefn {Loadable Function} {} cholinv (@var{A})\n\ |
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395 Compute the inverse of the symmetric positive definite matrix @var{A} using\n\ |
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396 the Cholesky@tie{}factorization.\n\ |
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397 @seealso{chol, chol2inv, inv}\n\ |
5340 | 398 @end deftypefn") |
399 { | |
400 octave_value retval; | |
401 | |
402 int nargin = args.length (); | |
403 | |
404 if (nargin == 1) | |
405 { | |
406 octave_value arg = args(0); | |
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407 |
5340 | 408 octave_idx_type nr = arg.rows (); |
409 octave_idx_type nc = arg.columns (); | |
410 | |
411 if (nr == 0 || nc == 0) | |
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412 retval = Matrix (); |
5340 | 413 else |
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414 { |
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415 if (arg.is_sparse_type ()) |
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416 { |
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417 octave_idx_type info; |
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418 |
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419 if (arg.is_real_type ()) |
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420 { |
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421 SparseMatrix m = arg.sparse_matrix_value (); |
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422 |
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423 if (! error_state) |
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424 { |
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425 SparseCHOL chol (m, info); |
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426 |
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427 if (info == 0) |
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428 retval = chol.inverse (); |
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429 else |
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430 error ("cholinv: A must be positive definite"); |
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431 } |
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432 } |
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433 else if (arg.is_complex_type ()) |
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434 { |
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435 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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436 |
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437 if (! error_state) |
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438 { |
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439 SparseComplexCHOL chol (m, info); |
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440 |
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441 if (info == 0) |
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442 retval = chol.inverse (); |
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443 else |
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444 error ("cholinv: A must be positive definite"); |
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445 } |
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446 } |
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447 else |
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448 gripe_wrong_type_arg ("cholinv", arg); |
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449 } |
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450 else if (arg.is_single_type ()) |
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451 { |
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452 if (arg.is_real_type ()) |
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453 { |
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454 FloatMatrix m = arg.float_matrix_value (); |
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455 |
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456 if (! error_state) |
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457 { |
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458 octave_idx_type info; |
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459 FloatCHOL chol (m, info); |
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460 if (info == 0) |
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461 retval = chol.inverse (); |
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462 else |
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463 error ("cholinv: A must be positive definite"); |
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464 } |
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465 } |
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466 else if (arg.is_complex_type ()) |
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467 { |
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468 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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469 |
10154
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470 if (! error_state) |
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471 { |
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472 octave_idx_type info; |
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473 FloatComplexCHOL chol (m, info); |
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474 if (info == 0) |
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475 retval = chol.inverse (); |
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476 else |
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|
477 error ("cholinv: A must be positive definite"); |
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478 } |
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479 } |
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480 else |
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481 gripe_wrong_type_arg ("chol", arg); |
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482 } |
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483 else |
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484 { |
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485 if (arg.is_real_type ()) |
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486 { |
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487 Matrix m = arg.matrix_value (); |
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488 |
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489 if (! error_state) |
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490 { |
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491 octave_idx_type info; |
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492 CHOL chol (m, info); |
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493 if (info == 0) |
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494 retval = chol.inverse (); |
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495 else |
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496 error ("cholinv: A must be positive definite"); |
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497 } |
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498 } |
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499 else if (arg.is_complex_type ()) |
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500 { |
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501 ComplexMatrix m = arg.complex_matrix_value (); |
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502 |
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503 if (! error_state) |
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504 { |
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505 octave_idx_type info; |
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506 ComplexCHOL chol (m, info); |
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507 if (info == 0) |
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508 retval = chol.inverse (); |
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509 else |
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|
510 error ("cholinv: A must be positive definite"); |
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511 } |
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512 } |
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513 else |
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514 gripe_wrong_type_arg ("chol", arg); |
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515 } |
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516 } |
5340 | 517 } |
518 else | |
5823 | 519 print_usage (); |
5340 | 520 |
521 return retval; | |
522 } | |
523 | |
8402
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524 /* |
8871 | 525 %!shared A, Ainv |
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526 %! A = [2,0.2;0.2,1]; |
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527 %! Ainv = inv (A); |
8871 | 528 %!test |
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529 %! Ainv1 = cholinv (A); |
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530 %! assert (norm (Ainv-Ainv1), 0, 1e-10); |
8871 | 531 %!testif HAVE_CHOLMOD |
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532 %! Ainv2 = inv (sparse (A)); |
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|
533 %! assert (norm (Ainv-Ainv2), 0, 1e-10); |
8880
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534 %!testif HAVE_CHOLMOD |
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535 %! Ainv3 = cholinv (sparse (A)); |
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536 %! assert (norm (Ainv-Ainv3), 0, 1e-10); |
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537 */ |
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538 |
5760 | 539 DEFUN_DLD (chol2inv, args, , |
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540 "-*- texinfo -*-\n\ |
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541 @deftypefn {Loadable Function} {} chol2inv (@var{U})\n\ |
5340 | 542 Invert a symmetric, positive definite square matrix from its Cholesky\n\ |
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543 decomposition, @var{U}.\n\ |
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544 \n\ |
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545 Note that @var{U} should be an upper-triangular matrix with positive\n\ |
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546 diagonal elements. @code{chol2inv (@var{U})} provides\n\ |
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547 @code{inv (@var{U}'*@var{U})} but it is much faster than using @code{inv}.\n\ |
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548 @seealso{chol, cholinv, inv}\n\ |
5340 | 549 @end deftypefn") |
550 { | |
551 octave_value retval; | |
552 | |
553 int nargin = args.length (); | |
554 | |
555 if (nargin == 1) | |
556 { | |
557 octave_value arg = args(0); | |
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558 |
5340 | 559 octave_idx_type nr = arg.rows (); |
560 octave_idx_type nc = arg.columns (); | |
561 | |
562 if (nr == 0 || nc == 0) | |
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563 retval = Matrix (); |
5340 | 564 else |
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565 { |
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566 if (arg.is_sparse_type ()) |
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567 { |
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568 if (arg.is_real_type ()) |
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569 { |
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570 SparseMatrix r = arg.sparse_matrix_value (); |
5340 | 571 |
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572 if (! error_state) |
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573 retval = chol2inv (r); |
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574 } |
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575 else if (arg.is_complex_type ()) |
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576 { |
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577 SparseComplexMatrix r = arg.sparse_complex_matrix_value (); |
5340 | 578 |
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579 if (! error_state) |
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580 retval = chol2inv (r); |
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581 } |
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582 else |
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583 gripe_wrong_type_arg ("chol2inv", arg); |
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584 } |
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585 else if (arg.is_single_type ()) |
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586 { |
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587 if (arg.is_real_type ()) |
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588 { |
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589 FloatMatrix r = arg.float_matrix_value (); |
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590 |
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591 if (! error_state) |
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592 retval = chol2inv (r); |
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593 } |
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594 else if (arg.is_complex_type ()) |
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595 { |
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596 FloatComplexMatrix r = arg.float_complex_matrix_value (); |
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597 |
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598 if (! error_state) |
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599 retval = chol2inv (r); |
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600 } |
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601 else |
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602 gripe_wrong_type_arg ("chol2inv", arg); |
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603 |
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604 } |
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605 else |
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606 { |
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607 if (arg.is_real_type ()) |
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608 { |
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609 Matrix r = arg.matrix_value (); |
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610 |
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611 if (! error_state) |
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612 retval = chol2inv (r); |
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613 } |
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614 else if (arg.is_complex_type ()) |
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615 { |
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616 ComplexMatrix r = arg.complex_matrix_value (); |
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617 |
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618 if (! error_state) |
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619 retval = chol2inv (r); |
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620 } |
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621 else |
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622 gripe_wrong_type_arg ("chol2inv", arg); |
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623 } |
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624 } |
5340 | 625 } |
626 else | |
5823 | 627 print_usage (); |
5340 | 628 |
629 return retval; | |
630 } | |
631 | |
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632 DEFUN_DLD (cholupdate, args, nargout, |
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633 "-*- texinfo -*-\n\ |
7650 | 634 @deftypefn {Loadable Function} {[@var{R1}, @var{info}] =} cholupdate (@var{R}, @var{u}, @var{op})\n\ |
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635 Update or downdate a Cholesky@tie{}factorization.\n\ |
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636 \n\ |
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637 Given an upper triangular matrix @var{R} and a column vector @var{u},\n\ |
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638 attempt to determine another upper triangular matrix @var{R1} such that\n\ |
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639 \n\ |
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640 @itemize @bullet\n\ |
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641 @item\n\ |
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642 @var{R1}'*@var{R1} = @var{R}'*@var{R} + @var{u}*@var{u}'\n\ |
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643 if @var{op} is @qcode{\"+\"}\n\ |
10840 | 644 \n\ |
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645 @item\n\ |
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646 @var{R1}'*@var{R1} = @var{R}'*@var{R} - @var{u}*@var{u}'\n\ |
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647 if @var{op} is @qcode{\"-\"}\n\ |
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648 @end itemize\n\ |
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649 \n\ |
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650 If @var{op} is @qcode{\"-\"}, @var{info} is set to\n\ |
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651 \n\ |
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652 @itemize\n\ |
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653 @item 0 if the downdate was successful,\n\ |
10840 | 654 \n\ |
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655 @item 1 if @var{R}'*@var{R} - @var{u}*@var{u}' is not positive definite,\n\ |
10840 | 656 \n\ |
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657 @item 2 if @var{R} is singular.\n\ |
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658 @end itemize\n\ |
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659 \n\ |
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660 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
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661 @seealso{chol, cholinsert, choldelete, cholshift}\n\ |
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662 @end deftypefn") |
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663 { |
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664 octave_idx_type nargin = args.length (); |
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665 |
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666 octave_value_list retval; |
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667 |
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668 if (nargin > 3 || nargin < 2) |
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669 { |
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670 print_usage (); |
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671 return retval; |
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672 } |
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673 |
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674 octave_value argr = args(0); |
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|
675 octave_value argu = args(1); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
676 |
9453
5fcf008c7c41
fix Cholesky updating with scalars
Jaroslav Hajek <highegg@gmail.com>
parents:
9065
diff
changeset
|
677 if (argr.is_numeric_type () && argu.is_numeric_type () |
7559
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
678 && (nargin < 3 || args(2).is_string ())) |
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
679 { |
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
680 octave_idx_type n = argr.rows (); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
681 |
7559
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
682 std::string op = (nargin < 3) ? "+" : args(2).string_value (); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
683 |
7559
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
684 bool down = op == "-"; |
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
685 |
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
686 if (down || op == "+") |
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
parents:
7554
diff
changeset
|
687 if (argr.columns () == n && argu.rows () == n && argu.columns () == 1) |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
688 { |
8547
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
689 int err = 0; |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
690 if (argr.is_single_type () || argu.is_single_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
691 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
692 if (argr.is_real_type () && argu.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
693 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
694 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
695 FloatMatrix R = argr.float_matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
696 FloatColumnVector u = argu.float_column_vector_value (); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
697 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
698 FloatCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
699 fact.set (R); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
700 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
701 if (down) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
702 err = fact.downdate (u); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
703 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
704 fact.update (u); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
705 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
706 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
707 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
708 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
709 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
710 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
711 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
712 FloatComplexColumnVector u = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
713 argu.float_complex_column_vector_value (); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
714 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
715 FloatComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
716 fact.set (R); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
717 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
718 if (down) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
719 err = fact.downdate (u); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
720 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
721 fact.update (u); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
722 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
723 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
724 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
725 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
726 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
727 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
728 if (argr.is_real_type () && argu.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
729 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
730 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
731 Matrix R = argr.matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
732 ColumnVector u = argu.column_vector_value (); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
733 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
734 CHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
735 fact.set (R); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
736 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
737 if (down) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
738 err = fact.downdate (u); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
739 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
740 fact.update (u); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
741 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
742 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
743 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
744 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
745 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
746 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
747 ComplexMatrix R = argr.complex_matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
748 ComplexColumnVector u = argu.complex_column_vector_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
749 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
750 ComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
751 fact.set (R); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
752 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
753 if (down) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
754 err = fact.downdate (u); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
755 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
756 fact.update (u); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
757 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
758 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
759 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
760 } |
8547
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
761 |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
762 if (nargout > 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
763 retval(1) = err; |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
764 else if (err == 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
765 error ("cholupdate: downdate violates positiveness"); |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
766 else if (err == 2) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
767 error ("cholupdate: singular matrix"); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
768 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
769 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
770 error ("cholupdate: dimension mismatch between R and U"); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
771 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
772 error ("cholupdate: OP must be \"+\" or \"-\""); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
773 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
774 else |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
775 print_usage (); |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
776 |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
777 return retval; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
778 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
779 |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
780 /* |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
781 %!shared A, u, Ac, uc |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
782 %! A = [ 0.436997 -0.131721 0.124120 -0.061673 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
783 %! -0.131721 0.738529 0.019851 -0.140295 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
784 %! 0.124120 0.019851 0.354879 -0.059472 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
785 %! -0.061673 -0.140295 -0.059472 0.600939 ]; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
786 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
787 %! u = [ 0.98950 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
788 %! 0.39844 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
789 %! 0.63484 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
790 %! 0.13351 ]; |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
791 %! Ac = [ 0.5585528 + 0.0000000i -0.1662088 - 0.0315341i 0.0107873 + 0.0236411i -0.0276775 - 0.0186073i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
792 %! -0.1662088 + 0.0315341i 0.6760061 + 0.0000000i 0.0011452 - 0.0475528i 0.0145967 + 0.0247641i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
793 %! 0.0107873 - 0.0236411i 0.0011452 + 0.0475528i 0.6263149 - 0.0000000i -0.1585837 - 0.0719763i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
794 %! -0.0276775 + 0.0186073i 0.0145967 - 0.0247641i -0.1585837 + 0.0719763i 0.6034234 - 0.0000000i ]; |
11586
12df7854fa7c
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|
795 %! |
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796 %! uc = [ 0.54267 + 0.91519i ; |
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797 %! 0.99647 + 0.43141i ; |
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798 %! 0.83760 + 0.68977i ; |
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799 %! 0.39160 + 0.90378i ]; |
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800 |
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801 %!test |
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802 %! R = chol (A); |
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803 %! R1 = cholupdate (R, u); |
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804 %! assert (norm (triu (R1)-R1, Inf), 0); |
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805 %! assert (norm (R1'*R1 - R'*R - u*u', Inf) < 1e1*eps); |
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806 %! |
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807 %! R1 = cholupdate (R1, u, "-"); |
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808 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
809 %! assert (norm (R1 - R, Inf) < 1e1*eps); |
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|
810 |
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|
811 %!test |
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812 %! R = chol (Ac); |
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813 %! R1 = cholupdate (R, uc); |
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814 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
815 %! assert (norm (R1'*R1 - R'*R - uc*uc', Inf) < 1e1*eps); |
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816 %! |
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817 %! R1 = cholupdate (R1, uc, "-"); |
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818 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
819 %! assert (norm (R1 - R, Inf) < 1e1*eps); |
7814
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|
820 |
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|
821 %!test |
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822 %! R = chol (single (A)); |
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823 %! R1 = cholupdate (R, single (u)); |
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824 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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825 %! assert (norm (R1'*R1 - R'*R - single (u*u'), Inf) < 1e1*eps ("single")); |
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826 %! |
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827 %! R1 = cholupdate (R1, single (u), "-"); |
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828 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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|
829 %! assert (norm (R1 - R, Inf) < 2e1*eps ("single")); |
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|
830 |
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|
831 %!test |
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832 %! R = chol (single (Ac)); |
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833 %! R1 = cholupdate (R, single (uc)); |
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|
834 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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|
835 %! assert (norm (R1'*R1 - R'*R - single (uc*uc'), Inf) < 1e1*eps ("single")); |
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836 %! |
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837 %! R1 = cholupdate (R1, single (uc), "-"); |
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838 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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839 %! assert (norm (R1 - R, Inf) < 2e1*eps ("single")); |
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840 */ |
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841 |
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842 DEFUN_DLD (cholinsert, args, nargout, |
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|
843 "-*- texinfo -*-\n\ |
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|
844 @deftypefn {Loadable Function} {@var{R1} =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
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845 @deftypefnx {Loadable Function} {[@var{R1}, @var{info}] =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
10840 | 846 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
847 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
848 triangular, return the Cholesky@tie{}factorization of\n\ | |
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849 @var{A1}, where @w{A1(p,p) = A}, @w{A1(:,j) = A1(j,:)' = u} and\n\ |
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850 @w{p = [1:j-1,j+1:n+1]}. @w{u(j)} should be positive.\n\ |
20198
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|
851 \n\ |
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852 On return, @var{info} is set to\n\ |
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853 \n\ |
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854 @itemize\n\ |
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855 @item 0 if the insertion was successful,\n\ |
10840 | 856 \n\ |
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857 @item 1 if @var{A1} is not positive definite,\n\ |
10840 | 858 \n\ |
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859 @item 2 if @var{R} is singular.\n\ |
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860 @end itemize\n\ |
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861 \n\ |
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862 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
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863 @seealso{chol, cholupdate, choldelete, cholshift}\n\ |
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864 @end deftypefn") |
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865 { |
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866 octave_idx_type nargin = args.length (); |
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867 |
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868 octave_value_list retval; |
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869 |
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870 if (nargin != 3) |
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871 { |
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872 print_usage (); |
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873 return retval; |
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874 } |
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875 |
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876 octave_value argr = args(0); |
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877 octave_value argj = args(1); |
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878 octave_value argu = args(2); |
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879 |
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880 if (argr.is_numeric_type () && argu.is_numeric_type () |
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881 && argj.is_real_scalar ()) |
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882 { |
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883 octave_idx_type n = argr.rows (); |
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884 octave_idx_type j = argj.scalar_value (); |
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885 |
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886 if (argr.columns () == n && argu.rows () == n+1 && argu.columns () == 1) |
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887 { |
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888 if (j > 0 && j <= n+1) |
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889 { |
8547
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890 int err = 0; |
10154
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891 if (argr.is_single_type () || argu.is_single_type ()) |
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892 { |
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893 if (argr.is_real_type () && argu.is_real_type ()) |
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894 { |
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|
895 // real case |
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896 FloatMatrix R = argr.float_matrix_value (); |
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897 FloatColumnVector u = argu.float_column_vector_value (); |
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898 |
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899 FloatCHOL fact; |
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900 fact.set (R); |
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901 err = fact.insert_sym (u, j-1); |
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902 |
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903 retval(0) = get_chol_r (fact); |
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904 } |
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|
905 else |
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906 { |
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|
907 // complex case |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
908 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
909 FloatComplexColumnVector u = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
910 argu.float_complex_column_vector_value (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
911 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
912 FloatComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
913 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
914 err = fact.insert_sym (u, j-1); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
915 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
916 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
917 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
918 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
919 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
920 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
921 if (argr.is_real_type () && argu.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
922 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
923 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
924 Matrix R = argr.matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
925 ColumnVector u = argu.column_vector_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
926 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
927 CHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
928 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
929 err = fact.insert_sym (u, j-1); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
930 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
931 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
932 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
933 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
934 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
935 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
936 ComplexMatrix R = argr.complex_matrix_value (); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
937 ComplexColumnVector u = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
938 argu.complex_column_vector_value (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
939 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
940 ComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
941 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
942 err = fact.insert_sym (u, j-1); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
943 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
944 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
945 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
946 } |
8547
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
947 |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
948 if (nargout > 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
949 retval(1) = err; |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
950 else if (err == 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
951 error ("cholinsert: insertion violates positiveness"); |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
952 else if (err == 2) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
953 error ("cholinsert: singular matrix"); |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
954 else if (err == 3) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
955 error ("cholinsert: diagonal element must be real"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
956 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
957 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
958 error ("cholinsert: index J out of range"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
959 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
960 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
961 error ("cholinsert: dimension mismatch between R and U"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
962 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
963 else |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
964 print_usage (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
965 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
966 return retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
967 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
968 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
969 /* |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
970 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
971 %! u2 = [ 0.35080 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
972 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
973 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
974 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
975 %! 0.45266 ]; |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
976 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
977 %! R = chol (A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
978 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
979 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
980 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
981 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
982 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
983 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
984 %! assert (norm (A1(p,p) - A, Inf) < 1e1*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
985 |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
986 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
987 %! u2 = [ 0.35080 + 0.04298i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
988 %! 0.63930 + 0.23778i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
989 %! 3.31057 + 0.00000i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
990 %! -0.13825 + 0.19879i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
991 %! 0.45266 + 0.50020i]; |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
992 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
993 %! R = chol (Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
994 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
995 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
996 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
997 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
998 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
999 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1000 %! assert (norm (A1(p,p) - Ac, Inf) < 1e1*eps); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1001 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1002 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1003 %! u2 = single ([ 0.35080 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1004 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1005 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1006 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1007 %! 0.45266 ]); |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1008 %! |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
1009 %! R = chol (single (A)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1010 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1011 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1012 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1013 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1014 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1015 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1016 %! assert (norm (A1(p,p) - A, Inf) < 1e1*eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1017 |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1018 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1019 %! u2 = single ([ 0.35080 + 0.04298i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1020 %! 0.63930 + 0.23778i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1021 %! 3.31057 + 0.00000i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1022 %! -0.13825 + 0.19879i; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1023 %! 0.45266 + 0.50020i]); |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1024 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1025 %! R = chol (single (Ac)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1026 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1027 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1028 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1029 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1030 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1031 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1032 %! assert (norm (A1(p,p) - single (Ac), Inf) < 2e1*eps ("single")); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1033 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1034 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1035 %! cu = chol (triu (A), "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1036 %! cl = chol (tril (A), "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1037 %! assert (cu, cl', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1038 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1039 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1040 %! cca = chol (Ac); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1041 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1042 %! ccal = chol (Ac, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1043 %! ccal2 = chol (tril (Ac), "lower"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1044 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1045 %! ccau = chol (Ac, "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1046 %! ccau2 = chol (triu (Ac), "upper"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1047 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1048 %! assert (cca'*cca, Ac, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1049 %! assert (ccau'*ccau, Ac, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1050 %! assert (ccau2'*ccau2, Ac, eps); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1051 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1052 %! assert (cca, ccal', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1053 %! assert (cca, ccau, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1054 %! assert (cca, ccal2', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1055 %! assert (cca, ccau2, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1056 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1057 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1058 %! cca = chol (single (Ac)); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1059 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1060 %! ccal = chol (single (Ac), "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1061 %! ccal2 = chol (tril (single (Ac)), "lower"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1062 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1063 %! ccau = chol (single (Ac), "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1064 %! ccau2 = chol (triu (single (Ac)), "upper"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1065 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1066 %! assert (cca'*cca, single (Ac), eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1067 %! assert (ccau'*ccau, single (Ac), eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1068 %! assert (ccau2'*ccau2, single (Ac), eps ("single")); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1069 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1070 %! assert (cca, ccal', eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1071 %! assert (cca, ccau, eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1072 %! assert (cca, ccal2', eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1073 %! assert (cca, ccau2, eps ("single")); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1074 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1075 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1076 %! a = [12, 2, 3, 4; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1077 %! 2, 14, 5, 3; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1078 %! 3, 5, 16, 6; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1079 %! 4, 3, 6, 16]; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1080 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1081 %! b = [0, 1, 2, 3; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1082 %! -1, 0, 1, 2; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1083 %! -2, -1, 0, 1; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1084 %! -3, -2, -1, 0]; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1085 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1086 %! ca = a + i*b; |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1087 %! |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1088 %! cca = chol (ca); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1089 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1090 %! ccal = chol (ca, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1091 %! ccal2 = chol (tril (ca), "lower"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1092 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1093 %! ccau = chol (ca, "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1094 %! ccau2 = chol (triu (ca), "upper"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1095 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1096 %! assert (cca'*cca, ca, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1097 %! assert (ccau'*ccau, ca, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1098 %! assert (ccau2'*ccau2, ca, 16*eps); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1099 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1100 %! assert (cca, ccal', 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1101 %! assert (cca, ccau, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1102 %! assert (cca, ccal2', 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1103 %! assert (cca, ccau2, 16*eps); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1104 */ |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1105 |
7924 | 1106 DEFUN_DLD (choldelete, args, , |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1107 "-*- texinfo -*-\n\ |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1108 @deftypefn {Loadable Function} {@var{R1} =} choldelete (@var{R}, @var{j})\n\ |
10840 | 1109 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
1110 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
10846
a4f482e66b65
Grammarcheck more of the documentation.
Rik <octave@nomad.inbox5.com>
parents:
10840
diff
changeset
|
1111 triangular, return the Cholesky@tie{}factorization of @w{A(p,p)}, where\n\ |
a4f482e66b65
Grammarcheck more of the documentation.
Rik <octave@nomad.inbox5.com>
parents:
10840
diff
changeset
|
1112 @w{p = [1:j-1,j+1:n+1]}.\n\ |
16920
53eaa83e4181
doc: Add seealso links between various factorization forms.
Rik <rik@octave.org>
parents:
15264
diff
changeset
|
1113 @seealso{chol, cholupdate, cholinsert, cholshift}\n\ |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1114 @end deftypefn") |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1115 { |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1116 octave_idx_type nargin = args.length (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1117 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1118 octave_value_list retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1119 |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
1120 if (nargin != 2) |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1121 { |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1122 print_usage (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1123 return retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1124 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1125 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1126 octave_value argr = args(0); |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
1127 octave_value argj = args(1); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1128 |
9453
5fcf008c7c41
fix Cholesky updating with scalars
Jaroslav Hajek <highegg@gmail.com>
parents:
9065
diff
changeset
|
1129 if (argr.is_numeric_type () && argj.is_real_scalar ()) |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1130 { |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1131 octave_idx_type n = argr.rows (); |
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1132 octave_idx_type j = argj.scalar_value (); |
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1133 |
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1134 if (argr.columns () == n) |
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1135 { |
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|
1136 if (j > 0 && j <= n) |
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1137 { |
10154
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|
1138 if (argr.is_single_type ()) |
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|
1139 { |
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|
1140 if (argr.is_real_type ()) |
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|
1141 { |
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|
1142 // real case |
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|
1143 FloatMatrix R = argr.float_matrix_value (); |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
1144 |
10154
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|
1145 FloatCHOL fact; |
40dfc0c99116
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|
1146 fact.set (R); |
40dfc0c99116
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|
1147 fact.delete_sym (j-1); |
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1148 |
10154
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|
1149 retval(0) = get_chol_r (fact); |
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|
1150 } |
40dfc0c99116
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|
1151 else |
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|
1152 { |
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|
1153 // complex case |
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|
1154 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
1155 |
10154
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|
1156 FloatComplexCHOL fact; |
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|
1157 fact.set (R); |
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|
1158 fact.delete_sym (j-1); |
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1159 |
10154
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|
1160 retval(0) = get_chol_r (fact); |
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|
1161 } |
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|
1162 } |
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|
1163 else |
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|
1164 { |
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|
1165 if (argr.is_real_type ()) |
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|
1166 { |
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|
1167 // real case |
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|
1168 Matrix R = argr.matrix_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
1169 |
10154
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|
1170 CHOL fact; |
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|
1171 fact.set (R); |
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|
1172 fact.delete_sym (j-1); |
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|
1173 |
10154
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|
1174 retval(0) = get_chol_r (fact); |
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|
1175 } |
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John W. Eaton <jwe@octave.org>
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changeset
|
1176 else |
40dfc0c99116
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parents:
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|
1177 { |
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|
1178 // complex case |
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|
1179 ComplexMatrix R = argr.complex_matrix_value (); |
7700
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1180 |
10154
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|
1181 ComplexCHOL fact; |
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|
1182 fact.set (R); |
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|
1183 fact.delete_sym (j-1); |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
1184 |
10154
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|
1185 retval(0) = get_chol_r (fact); |
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|
1186 } |
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|
1187 } |
7700
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|
1188 } |
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|
1189 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
1190 error ("choldelete: index J out of range"); |
7700
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|
1191 } |
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|
1192 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
1193 error ("choldelete: matrix R must be square"); |
7700
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1194 } |
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|
1195 else |
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|
1196 print_usage (); |
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|
1197 |
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|
1198 return retval; |
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|
1199 } |
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|
1200 |
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|
1201 /* |
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|
1202 %!test |
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|
1203 %! R = chol (A); |
11586
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diff
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|
1204 %! |
14501
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|
1205 %! j = 3; p = [1:j-1,j+1:4]; |
60e5cf354d80
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|
1206 %! R1 = choldelete (R, j); |
11586
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diff
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|
1207 %! |
14501
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|
1208 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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|
1209 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
7814
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|
1210 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
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changeset
|
1211 %!test |
14501
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|
1212 %! R = chol (Ac); |
60e5cf354d80
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|
1213 %! |
60e5cf354d80
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changeset
|
1214 %! j = 3; p = [1:j-1,j+1:4]; |
60e5cf354d80
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changeset
|
1215 %! R1 = choldelete (R, j); |
11586
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diff
changeset
|
1216 %! |
14501
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changeset
|
1217 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
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changeset
|
1218 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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|
1219 |
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changeset
|
1220 %!test |
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|
1221 %! R = chol (single (A)); |
11586
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|
1222 %! |
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|
1223 %! j = 3; p = [1:j-1,j+1:4]; |
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|
1224 %! R1 = choldelete (R, j); |
11586
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changeset
|
1225 %! |
14501
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changeset
|
1226 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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diff
changeset
|
1227 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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|
1228 |
7814
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|
1229 %!test |
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|
1230 %! R = chol (single (Ac)); |
11586
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|
1231 %! |
14501
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changeset
|
1232 %! j = 3; p = [1:j-1,j+1:4]; |
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|
1233 %! R1 = choldelete (R,j); |
11586
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|
1234 %! |
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changeset
|
1235 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
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changeset
|
1236 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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|
1237 */ |
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|
1238 |
7924 | 1239 DEFUN_DLD (cholshift, args, , |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
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17744
diff
changeset
|
1240 "-*- texinfo -*-\n\ |
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1241 @deftypefn {Loadable Function} {@var{R1} =} cholshift (@var{R}, @var{i}, @var{j})\n\ |
10840 | 1242 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
1243 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
1244 triangular, return the Cholesky@tie{}factorization of\n\ | |
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|
1245 @w{@var{A}(p,p)}, where @w{p} is the permutation @*\n\ |
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1246 @code{p = [1:i-1, shift(i:j, 1), j+1:n]} if @w{@var{i} < @var{j}} @*\n\ |
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|
1247 or @*\n\ |
9064
7c02ec148a3c
Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents:
8880
diff
changeset
|
1248 @code{p = [1:j-1, shift(j:i,-1), i+1:n]} if @w{@var{j} < @var{i}}. @*\n\ |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1249 \n\ |
16920
53eaa83e4181
doc: Add seealso links between various factorization forms.
Rik <rik@octave.org>
parents:
15264
diff
changeset
|
1250 @seealso{chol, cholupdate, cholinsert, choldelete}\n\ |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1251 @end deftypefn") |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1252 { |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1253 octave_idx_type nargin = args.length (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1254 |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1255 octave_value_list retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1256 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1257 if (nargin != 3) |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1258 { |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1259 print_usage (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1260 return retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1261 } |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1262 |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1263 octave_value argr = args(0); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1264 octave_value argi = args(1); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1265 octave_value argj = args(2); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1266 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1267 if (argr.is_numeric_type () |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1268 && argi.is_real_scalar () && argj.is_real_scalar ()) |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1269 { |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1270 octave_idx_type n = argr.rows (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1271 octave_idx_type i = argi.scalar_value (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1272 octave_idx_type j = argj.scalar_value (); |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1273 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1274 if (argr.columns () == n) |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1275 { |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1276 if (j > 0 && j <= n+1 && i > 0 && i <= n+1) |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1277 { |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1278 |
19898
17d647821d61
maint: More cleanup of C++ code to follow Octave coding conventions.
John W. Eaton <jwe@octave.org>
parents:
19731
diff
changeset
|
1279 if (argr.is_single_type () && argi.is_single_type () |
17d647821d61
maint: More cleanup of C++ code to follow Octave coding conventions.
John W. Eaton <jwe@octave.org>
parents:
19731
diff
changeset
|
1280 && argj.is_single_type ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1281 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1282 if (argr.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1283 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1284 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1285 FloatMatrix R = argr.float_matrix_value (); |
7700
efccca5f2ad7
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parents:
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diff
changeset
|
1286 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1287 FloatCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1288 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1289 fact.shift_sym (i-1, j-1); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1290 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1291 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1292 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1293 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1294 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1295 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1296 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1297 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1298 FloatComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1299 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1300 fact.shift_sym (i-1, j-1); |
7700
efccca5f2ad7
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diff
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|
1301 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1302 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1303 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1304 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1305 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1306 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1307 if (argr.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1308 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1309 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1310 Matrix R = argr.matrix_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1311 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1312 CHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1313 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1314 fact.shift_sym (i-1, j-1); |
7700
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diff
changeset
|
1315 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1316 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1317 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1318 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1319 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1320 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1321 ComplexMatrix R = argr.complex_matrix_value (); |
7700
efccca5f2ad7
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diff
changeset
|
1322 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1323 ComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1324 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1325 fact.shift_sym (i-1, j-1); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1326 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1327 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1328 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1329 } |
7700
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parents:
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changeset
|
1330 } |
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parents:
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diff
changeset
|
1331 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
1332 error ("cholshift: index I or J is out of range"); |
7700
efccca5f2ad7
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parents:
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changeset
|
1333 } |
efccca5f2ad7
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parents:
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diff
changeset
|
1334 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
1335 error ("cholshift: R must be a square matrix"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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diff
changeset
|
1336 } |
efccca5f2ad7
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parents:
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diff
changeset
|
1337 else |
efccca5f2ad7
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parents:
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diff
changeset
|
1338 print_usage (); |
efccca5f2ad7
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diff
changeset
|
1339 |
efccca5f2ad7
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diff
changeset
|
1340 return retval; |
efccca5f2ad7
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parents:
7650
diff
changeset
|
1341 } |
efccca5f2ad7
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diff
changeset
|
1342 |
efccca5f2ad7
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diff
changeset
|
1343 /* |
efccca5f2ad7
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parents:
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diff
changeset
|
1344 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1345 %! R = chol (A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1346 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1347 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1348 %! R1 = cholshift (R, i, j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1349 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1350 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1351 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1352 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1353 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1354 %! R1 = cholshift (R, i, j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1355 %! |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
1356 %! assert (norm (triu (R1) - R1, Inf), 0); |
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
1357 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1358 |
7700
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diff
changeset
|
1359 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1360 %! R = chol (Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1361 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1362 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1363 %! R1 = cholshift (R, i, j); |
11586
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1364 %! |
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1365 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1366 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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1367 %! |
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1368 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1369 %! R1 = cholshift (R, i, j); |
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1370 %! |
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1371 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1372 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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1373 |
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1374 %!test |
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1375 %! R = chol (single (A)); |
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1376 %! |
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1377 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1378 %! R1 = cholshift (R, i, j); |
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1379 %! |
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1380 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1381 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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1382 %! |
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1383 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1384 %! R1 = cholshift (R, i, j); |
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1385 %! |
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1386 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1387 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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1388 |
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1389 %!test |
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1390 %! R = chol (single (Ac)); |
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1391 %! |
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1392 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1393 %! R1 = cholshift (R, i, j); |
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1394 %! |
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1395 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1396 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1397 %! |
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1398 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1399 %! R1 = cholshift (R, i, j); |
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1400 %! |
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1401 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1402 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1403 */ |