Mercurial > octave
annotate libinterp/dldfcn/chol.cc @ 20941:a4f5da7c5463
maint: Replace "octave_value_list ()" with "ovl ()".
* debug.cc, det.cc, ellipj.cc, error.cc, file-io.cc, graphics.cc, hess.cc,
input.cc, inv.cc, load-path.cc, lu.cc, octave-link.cc, pager.cc, pinv.cc,
pr-output.cc, profiler.cc, schur.cc, symtab.cc, sysdep.cc, urlwrite.cc,
variables.cc, __magick_read__.cc, audioread.cc, chol.cc, ov-classdef.h,
ov-cs-list.cc, ov-flt-re-mat.cc, ov-re-mat.cc, ov-usr-fcn.cc:
maint: Replace "octave_value_list ()" with "ovl ()".
author | Rik <rik@octave.org> |
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date | Fri, 18 Dec 2015 16:18:41 -0800 |
parents | 48b2ad5ee801 |
children | e39e05d90788 |
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" | |
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44 #include "ovl.h" |
2928 | 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 (const CHOLT& fact) |
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50 { |
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51 return octave_value (fact.chol_matrix()); |
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52 } |
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53 |
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54 template <class CHOLT> |
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55 static octave_value |
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56 get_chol_r (const CHOLT& fact) |
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57 { |
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58 return octave_value (fact.chol_matrix (), |
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59 MatrixType (MatrixType::Upper)); |
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60 } |
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61 |
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62 template <class CHOLT> |
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63 static octave_value |
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64 get_chol_l (const CHOLT& fact) |
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65 { |
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66 return octave_value (fact.chol_matrix ().transpose (), |
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67 MatrixType (MatrixType::Lower)); |
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68 } |
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69 |
2928 | 70 DEFUN_DLD (chol, args, nargout, |
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71 "-*- texinfo -*-\n\ |
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72 @deftypefn {} {@var{R} =} chol (@var{A})\n\ |
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73 @deftypefnx {} {[@var{R}, @var{p}] =} chol (@var{A})\n\ |
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74 @deftypefnx {} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S})\n\ |
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75 @deftypefnx {} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S}, \"vector\")\n\ |
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76 @deftypefnx {} {[@var{L}, @dots{}] =} chol (@dots{}, \"lower\")\n\ |
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77 @deftypefnx {} {[@var{L}, @dots{}] =} chol (@dots{}, \"upper\")\n\ |
3372 | 78 @cindex Cholesky factorization\n\ |
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79 Compute the Cholesky@tie{}factor, @var{R}, of the symmetric positive definite\n\ |
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80 matrix @var{A}.\n\ |
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81 \n\ |
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82 The Cholesky@tie{}factor is defined by\n\ |
3372 | 83 @tex\n\ |
84 $ R^T R = A $.\n\ | |
85 @end tex\n\ | |
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86 @ifnottex\n\ |
3372 | 87 \n\ |
88 @example\n\ | |
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89 @var{R}' * @var{R} = @var{A}.\n\ |
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90 @end example\n\ |
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92 @end ifnottex\n\ |
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93 \n\ |
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94 Called with one output argument @code{chol} fails if @var{A} or @var{S} is\n\ |
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95 not positive definite. With two or more output arguments @var{p} flags\n\ |
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96 whether the matrix was positive definite and @code{chol} does not fail. A\n\ |
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97 zero value indicated that the matrix was positive definite and the @var{R}\n\ |
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98 gives the factorization, and @var{p} will have a positive value otherwise.\n\ |
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99 \n\ |
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100 If called with 3 outputs then a sparsity preserving row/column permutation\n\ |
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101 is applied to @var{A} prior to the factorization. That is @var{R} is the\n\ |
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102 factorization of @code{@var{A}(@var{Q},@var{Q})} such that\n\ |
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103 @tex\n\ |
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104 $ R^T R = Q^T A Q$.\n\ |
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105 @end tex\n\ |
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106 @ifnottex\n\ |
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107 \n\ |
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108 @example\n\ |
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109 @var{R}' * @var{R} = @var{Q}' * @var{A} * @var{Q}.\n\ |
3372 | 110 @end example\n\ |
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112 @end ifnottex\n\ |
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113 \n\ |
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114 The sparsity preserving permutation is generally returned as a matrix.\n\ |
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115 However, given the flag @qcode{\"vector\"}, @var{Q} will be returned as a\n\ |
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116 vector such that\n\ |
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117 @tex\n\ |
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118 $ R^T R = A (Q, Q)$.\n\ |
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119 @end tex\n\ |
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120 @ifnottex\n\ |
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121 \n\ |
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122 @example\n\ |
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123 @var{R}' * @var{R} = @var{A}(@var{Q}, @var{Q}).\n\ |
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124 @end example\n\ |
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126 @end ifnottex\n\ |
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127 \n\ |
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128 Called with either a sparse or full matrix and using the @qcode{\"lower\"}\n\ |
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129 flag, @code{chol} returns the lower triangular factorization such that\n\ |
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130 @tex\n\ |
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131 $ L L^T = A $.\n\ |
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132 @end tex\n\ |
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133 @ifnottex\n\ |
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134 \n\ |
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135 @example\n\ |
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136 @var{L} * @var{L}' = @var{A}.\n\ |
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137 @end example\n\ |
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139 @end ifnottex\n\ |
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140 \n\ |
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141 For full matrices, if the @qcode{\"lower\"} flag is set only the lower\n\ |
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142 triangular part of the matrix is used for the factorization, otherwise the\n\ |
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143 upper triangular part is used.\n\ |
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144 \n\ |
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145 In general the lower triangular factorization is significantly faster for\n\ |
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146 sparse matrices.\n\ |
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147 @seealso{hess, lu, qr, qz, schur, svd, ichol, cholinv, chol2inv, cholupdate, cholinsert, choldelete, cholshift}\n\ |
3372 | 148 @end deftypefn") |
2928 | 149 { |
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150 int nargin = args.length (); |
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152 if (nargin < 1 || nargin > 3 || nargout > 3 |
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153 || (! args(0).is_sparse_type () && nargout > 2)) |
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154 print_usage (); |
2928 | 155 |
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156 bool LLt = false; |
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157 bool vecout = false; |
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158 |
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159 int n = 1; |
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160 while (n < nargin) |
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161 { |
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162 std::string tmp = args(n++).xstring_value ("chol: optional arguments must be strings"); |
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163 |
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164 if (tmp == "vector") |
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165 vecout = true; |
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166 else if (tmp == "lower") |
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167 LLt = true; |
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168 else if (tmp == "upper") |
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169 LLt = false; |
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170 else |
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171 error ("chol: optional argument must be one of \"vector\", \"lower\", or \"upper\""); |
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172 } |
2928 | 173 |
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174 octave_value_list retval; |
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175 octave_value arg = args(0); |
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176 |
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177 octave_idx_type nr = arg.rows (); |
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178 octave_idx_type nc = arg.columns (); |
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179 |
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180 int arg_is_empty = empty_arg ("chol", nr, nc); |
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181 |
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182 if (arg_is_empty < 0) |
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183 return ovl (); |
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184 if (arg_is_empty > 0) |
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185 return octave_value (Matrix ()); |
2928 | 186 |
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187 if (arg.is_sparse_type ()) |
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188 { |
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189 octave_idx_type info; |
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190 bool natural = (nargout != 3); |
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191 bool force = nargout > 1; |
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192 |
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193 if (arg.is_real_type ()) |
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194 { |
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195 SparseMatrix m = arg.sparse_matrix_value (); |
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196 |
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197 SparseCHOL fact (m, info, natural, force); |
2928 | 198 |
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199 if (nargout == 3) |
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200 { |
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201 if (vecout) |
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202 retval(2) = fact.perm (); |
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203 else |
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204 retval(2) = fact.Q (); |
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205 } |
2928 | 206 |
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207 if (nargout >= 2 || info == 0) |
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208 { |
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209 retval(1) = info; |
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210 if (LLt) |
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211 retval(0) = fact.L (); |
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212 else |
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213 retval(0) = fact.R (); |
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214 } |
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215 else |
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216 error ("chol: input matrix must be positive definite"); |
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217 } |
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218 else if (arg.is_complex_type ()) |
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219 { |
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220 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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221 |
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222 SparseComplexCHOL fact (m, info, natural, force); |
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223 |
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224 if (nargout == 3) |
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225 { |
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226 if (vecout) |
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227 retval(2) = fact.perm (); |
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228 else |
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229 retval(2) = fact.Q (); |
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230 } |
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231 |
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232 if (nargout >= 2 || info == 0) |
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233 { |
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234 retval(1) = info; |
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235 if (LLt) |
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236 retval(0) = fact.L (); |
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237 else |
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238 retval(0) = fact.R (); |
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239 } |
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240 else |
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241 error ("chol: input matrix must be positive definite"); |
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242 } |
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243 else |
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244 gripe_wrong_type_arg ("chol", arg); |
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245 } |
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246 else if (arg.is_single_type ()) |
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247 { |
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248 if (arg.is_real_type ()) |
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249 { |
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250 FloatMatrix m = arg.float_matrix_value (); |
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251 |
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252 octave_idx_type info; |
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253 |
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254 FloatCHOL fact; |
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255 fact = FloatCHOL (m, info, LLt != true); |
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256 |
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257 if (nargout == 2 || info == 0) |
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258 retval = ovl (get_chol (fact), info); |
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259 else |
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260 error ("chol: input matrix must be positive definite"); |
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261 } |
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262 else if (arg.is_complex_type ()) |
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263 { |
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264 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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265 |
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266 octave_idx_type info; |
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267 |
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268 FloatComplexCHOL fact; |
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269 fact = FloatComplexCHOL (m, info, LLt != true); |
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270 |
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271 if (nargout == 2 || info == 0) |
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272 retval = ovl (get_chol (fact), info); |
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273 else |
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274 error ("chol: input matrix must be positive definite"); |
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275 } |
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276 else |
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277 gripe_wrong_type_arg ("chol", arg); |
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278 } |
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279 else |
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280 { |
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281 if (arg.is_real_type ()) |
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282 { |
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283 Matrix m = arg.matrix_value (); |
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284 |
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285 octave_idx_type info; |
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286 |
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287 CHOL fact; |
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288 fact = CHOL (m, info, LLt != true); |
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289 |
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290 if (nargout == 2 || info == 0) |
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291 retval = ovl (get_chol (fact), info); |
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292 else |
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293 error ("chol: input matrix must be positive definite"); |
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294 } |
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295 else if (arg.is_complex_type ()) |
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296 { |
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297 ComplexMatrix m = arg.complex_matrix_value (); |
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298 |
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299 octave_idx_type info; |
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300 |
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301 ComplexCHOL fact; |
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302 fact = ComplexCHOL (m, info, LLt != true); |
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303 |
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304 if (nargout == 2 || info == 0) |
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305 retval = ovl (get_chol (fact), info); |
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306 else |
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307 error ("chol: input matrix must be positive definite"); |
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308 } |
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309 else |
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310 gripe_wrong_type_arg ("chol", arg); |
2928 | 311 } |
312 | |
313 return retval; | |
314 } | |
315 | |
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316 /* |
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317 %!assert (chol ([2, 1; 1, 1]), [sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)], sqrt (eps)) |
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318 %!assert (chol (single ([2, 1; 1, 1])), single ([sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)]), sqrt (eps ("single"))) |
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319 %!testif HAVE_CHOLMOD |
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320 %! ## Bug #42587 |
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321 %! A = sparse ([1 0 8;0 1 8;8 8 1]); |
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322 %! [Q, p] = chol (A); |
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323 %! assert (p != 0); |
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324 |
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325 %!error chol () |
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326 %!error <matrix must be positive definite> chol ([1, 2; 3, 4]) |
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327 %!error <requires square matrix> chol ([1, 2; 3, 4; 5, 6]) |
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328 %!error <optional arguments must be strings> chol (1, 2) |
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329 %!error <optional argument must be one of "vector", "lower"> chol (1, "foobar") |
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330 */ |
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331 |
5760 | 332 DEFUN_DLD (cholinv, args, , |
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333 "-*- texinfo -*-\n\ |
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334 @deftypefn {} {} cholinv (@var{A})\n\ |
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335 Compute the inverse of the symmetric positive definite matrix @var{A} using\n\ |
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336 the Cholesky@tie{}factorization.\n\ |
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337 @seealso{chol, chol2inv, inv}\n\ |
5340 | 338 @end deftypefn") |
339 { | |
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340 if (args.length () != 1) |
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341 print_usage (); |
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342 |
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343 octave_value retval; |
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344 octave_value arg = args(0); |
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345 |
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346 octave_idx_type nr = arg.rows (); |
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347 octave_idx_type nc = arg.columns (); |
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348 |
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349 if (nr == 0 || nc == 0) |
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350 retval = Matrix (); |
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351 else |
5340 | 352 { |
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353 if (arg.is_sparse_type ()) |
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354 { |
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355 octave_idx_type info; |
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356 |
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357 if (arg.is_real_type ()) |
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358 { |
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359 SparseMatrix m = arg.sparse_matrix_value (); |
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360 |
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361 SparseCHOL chol (m, info); |
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362 |
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363 if (info == 0) |
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364 retval = chol.inverse (); |
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365 else |
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366 error ("cholinv: A must be positive definite"); |
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367 } |
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368 else if (arg.is_complex_type ()) |
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369 { |
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370 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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371 |
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372 SparseComplexCHOL chol (m, info); |
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373 |
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374 if (info == 0) |
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375 retval = chol.inverse (); |
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376 else |
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377 error ("cholinv: A must be positive definite"); |
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378 } |
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379 else |
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380 gripe_wrong_type_arg ("cholinv", arg); |
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381 } |
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382 else if (arg.is_single_type ()) |
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383 { |
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384 if (arg.is_real_type ()) |
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385 { |
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386 FloatMatrix m = arg.float_matrix_value (); |
5340 | 387 |
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388 octave_idx_type info; |
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389 FloatCHOL chol (m, info); |
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390 if (info == 0) |
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391 retval = chol.inverse (); |
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392 else |
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393 error ("cholinv: A must be positive definite"); |
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394 } |
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395 else if (arg.is_complex_type ()) |
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396 { |
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397 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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398 |
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399 octave_idx_type info; |
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400 FloatComplexCHOL chol (m, info); |
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401 if (info == 0) |
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402 retval = chol.inverse (); |
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403 else |
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404 error ("cholinv: A must be positive definite"); |
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405 } |
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406 else |
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407 gripe_wrong_type_arg ("chol", arg); |
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408 } |
5340 | 409 else |
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410 { |
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411 if (arg.is_real_type ()) |
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412 { |
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413 Matrix m = arg.matrix_value (); |
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414 |
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415 octave_idx_type info; |
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416 CHOL chol (m, info); |
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417 if (info == 0) |
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418 retval = chol.inverse (); |
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419 else |
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420 error ("cholinv: A must be positive definite"); |
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421 } |
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422 else if (arg.is_complex_type ()) |
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423 { |
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424 ComplexMatrix m = arg.complex_matrix_value (); |
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425 |
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426 octave_idx_type info; |
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427 ComplexCHOL chol (m, info); |
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428 if (info == 0) |
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429 retval = chol.inverse (); |
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430 else |
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431 error ("cholinv: A must be positive definite"); |
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432 } |
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433 else |
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434 gripe_wrong_type_arg ("chol", arg); |
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435 } |
5340 | 436 } |
437 | |
438 return retval; | |
439 } | |
440 | |
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441 /* |
8871 | 442 %!shared A, Ainv |
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443 %! A = [2,0.2;0.2,1]; |
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444 %! Ainv = inv (A); |
8871 | 445 %!test |
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446 %! Ainv1 = cholinv (A); |
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447 %! assert (norm (Ainv-Ainv1), 0, 1e-10); |
8871 | 448 %!testif HAVE_CHOLMOD |
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449 %! Ainv2 = inv (sparse (A)); |
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450 %! assert (norm (Ainv-Ainv2), 0, 1e-10); |
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451 %!testif HAVE_CHOLMOD |
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452 %! Ainv3 = cholinv (sparse (A)); |
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453 %! assert (norm (Ainv-Ainv3), 0, 1e-10); |
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454 */ |
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455 |
5760 | 456 DEFUN_DLD (chol2inv, args, , |
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457 "-*- texinfo -*-\n\ |
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458 @deftypefn {} {} chol2inv (@var{U})\n\ |
5340 | 459 Invert a symmetric, positive definite square matrix from its Cholesky\n\ |
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460 decomposition, @var{U}.\n\ |
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461 \n\ |
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462 Note that @var{U} should be an upper-triangular matrix with positive\n\ |
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463 diagonal elements. @code{chol2inv (@var{U})} provides\n\ |
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464 @code{inv (@var{U}'*@var{U})} but it is much faster than using @code{inv}.\n\ |
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465 @seealso{chol, cholinv, inv}\n\ |
5340 | 466 @end deftypefn") |
467 { | |
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468 if (args.length () != 1) |
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469 print_usage (); |
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470 |
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471 octave_value retval; |
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472 |
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473 octave_value arg = args(0); |
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474 |
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475 octave_idx_type nr = arg.rows (); |
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476 octave_idx_type nc = arg.columns (); |
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477 |
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478 if (nr == 0 || nc == 0) |
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479 retval = Matrix (); |
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480 else |
5340 | 481 { |
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482 if (arg.is_sparse_type ()) |
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483 { |
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484 if (arg.is_real_type ()) |
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485 { |
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486 SparseMatrix r = arg.sparse_matrix_value (); |
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487 |
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488 retval = chol2inv (r); |
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489 } |
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490 else if (arg.is_complex_type ()) |
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491 { |
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492 SparseComplexMatrix r = arg.sparse_complex_matrix_value (); |
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493 |
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494 retval = chol2inv (r); |
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495 } |
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496 else |
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497 gripe_wrong_type_arg ("chol2inv", arg); |
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498 } |
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499 else if (arg.is_single_type ()) |
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500 { |
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501 if (arg.is_real_type ()) |
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502 { |
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503 FloatMatrix r = arg.float_matrix_value (); |
5340 | 504 |
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505 retval = chol2inv (r); |
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506 } |
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507 else if (arg.is_complex_type ()) |
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508 { |
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509 FloatComplexMatrix r = arg.float_complex_matrix_value (); |
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510 |
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511 retval = chol2inv (r); |
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512 } |
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513 else |
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514 gripe_wrong_type_arg ("chol2inv", arg); |
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515 |
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516 } |
5340 | 517 else |
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518 { |
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519 if (arg.is_real_type ()) |
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520 { |
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521 Matrix r = arg.matrix_value (); |
5340 | 522 |
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523 retval = chol2inv (r); |
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524 } |
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525 else if (arg.is_complex_type ()) |
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526 { |
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527 ComplexMatrix r = arg.complex_matrix_value (); |
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528 |
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529 retval = chol2inv (r); |
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530 } |
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|
531 else |
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532 gripe_wrong_type_arg ("chol2inv", arg); |
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|
533 } |
5340 | 534 } |
535 | |
536 return retval; | |
537 } | |
538 | |
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539 DEFUN_DLD (cholupdate, args, nargout, |
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diff
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540 "-*- texinfo -*-\n\ |
20853
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2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
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541 @deftypefn {} {[@var{R1}, @var{info}] =} cholupdate (@var{R}, @var{u}, @var{op})\n\ |
20163
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diff
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|
542 Update or downdate a Cholesky@tie{}factorization.\n\ |
075a5e2e1ba5
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Rik <rik@octave.org>
parents:
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changeset
|
543 \n\ |
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Rik <rik@octave.org>
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|
544 Given an upper triangular matrix @var{R} and a column vector @var{u},\n\ |
075a5e2e1ba5
doc: Update more docstrings to have one sentence summary as first line.
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diff
changeset
|
545 attempt to determine another upper triangular matrix @var{R1} such that\n\ |
14620
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diff
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|
546 \n\ |
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547 @itemize @bullet\n\ |
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548 @item\n\ |
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|
549 @var{R1}'*@var{R1} = @var{R}'*@var{R} + @var{u}*@var{u}'\n\ |
17281
bc924baa2c4e
doc: Add new @qcode macro for code samples which are quoted.
Rik <rik@octave.org>
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16920
diff
changeset
|
550 if @var{op} is @qcode{\"+\"}\n\ |
10840 | 551 \n\ |
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552 @item\n\ |
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Jaroslav Hajek <highegg@gmail.com>
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553 @var{R1}'*@var{R1} = @var{R}'*@var{R} - @var{u}*@var{u}'\n\ |
17281
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Rik <rik@octave.org>
parents:
16920
diff
changeset
|
554 if @var{op} is @qcode{\"-\"}\n\ |
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555 @end itemize\n\ |
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556 \n\ |
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Rik <rik@octave.org>
parents:
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|
557 If @var{op} is @qcode{\"-\"}, @var{info} is set to\n\ |
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parents:
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|
558 \n\ |
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|
559 @itemize\n\ |
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|
560 @item 0 if the downdate was successful,\n\ |
10840 | 561 \n\ |
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|
562 @item 1 if @var{R}'*@var{R} - @var{u}*@var{u}' is not positive definite,\n\ |
10840 | 563 \n\ |
7554
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564 @item 2 if @var{R} is singular.\n\ |
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|
565 @end itemize\n\ |
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Jaroslav Hajek <highegg@gmail.com>
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|
566 \n\ |
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567 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
16920
53eaa83e4181
doc: Add seealso links between various factorization forms.
Rik <rik@octave.org>
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|
568 @seealso{chol, cholinsert, choldelete, cholshift}\n\ |
7554
40574114c514
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Jaroslav Hajek <highegg@gmail.com>
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|
569 @end deftypefn") |
40574114c514
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|
570 { |
20816
b16bcd7a2a33
Use int rather than octave_idx_type for nargin data type.
Rik <rik@octave.org>
parents:
20812
diff
changeset
|
571 int nargin = args.length (); |
7554
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parents:
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diff
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|
572 |
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Rik <rik@octave.org>
parents:
20863
diff
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|
573 if (nargin < 2 || nargin > 3) |
20790
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eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents:
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diff
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|
574 print_usage (); |
7554
40574114c514
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Jaroslav Hajek <highegg@gmail.com>
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|
575 |
7559
07522d7dcdf8
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Jaroslav Hajek <highegg@gmail.com>
parents:
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changeset
|
576 octave_value argr = args(0); |
07522d7dcdf8
fixes to QR and Cholesky updating code
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|
577 octave_value argu = args(1); |
7554
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|
578 |
20851
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Mike Miller <mtmiller@octave.org>
parents:
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|
579 if (! argr.is_numeric_type () || ! argu.is_numeric_type () |
0828bf20d105
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580 || (nargin > 2 && ! args(2).is_string ())) |
0828bf20d105
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Mike Miller <mtmiller@octave.org>
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|
581 print_usage (); |
7559
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parents:
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|
582 |
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2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
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|
583 octave_value_list retval (nargout == 2 ? 2 : 1); |
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2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
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|
584 |
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|
585 octave_idx_type n = argr.rows (); |
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|
586 |
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587 std::string op = (nargin < 3) ? "+" : args(2).string_value (); |
0828bf20d105
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diff
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|
588 |
20863
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2015 Code Sprint: chol.cc: use ovl().
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diff
changeset
|
589 bool down = (op == "-"); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
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diff
changeset
|
590 |
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|
591 if (! down && op != "+") |
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2015 Code Sprint: chol.cc: use ovl().
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changeset
|
592 error ("cholupdate: OP must be \"+\" or \"-\""); |
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parents:
20853
diff
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|
593 |
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parents:
20853
diff
changeset
|
594 if (argr.columns () != n || argu.rows () != n || argu.columns () != 1) |
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2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
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diff
changeset
|
595 error ("cholupdate: dimension mismatch between R and U"); |
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87865ed7405f
Second set of single precision test code and fix of resulting bugs
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parents:
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diff
changeset
|
596 |
20863
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2015 Code Sprint: chol.cc: use ovl().
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changeset
|
597 int err = 0; |
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2015 Code Sprint: chol.cc: use ovl().
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diff
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|
598 if (argr.is_single_type () || argu.is_single_type ()) |
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parents:
20853
diff
changeset
|
599 { |
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diff
changeset
|
600 if (argr.is_real_type () && argu.is_real_type ()) |
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parents:
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|
601 { |
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Rik <rik@octave.org>
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|
602 // real case |
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|
603 FloatMatrix R = argr.float_matrix_value (); |
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2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
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|
604 FloatColumnVector u = argu.float_column_vector_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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diff
changeset
|
605 |
20863
e81276e8f481
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diff
changeset
|
606 FloatCHOL fact; |
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changeset
|
607 fact.set (R); |
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diff
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|
608 |
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changeset
|
609 if (down) |
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changeset
|
610 err = fact.downdate (u); |
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Rik <rik@octave.org>
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|
611 else |
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|
612 fact.update (u); |
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|
613 |
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Rik <rik@octave.org>
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|
614 retval = ovl (get_chol_r (fact)); |
20863
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|
615 } |
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|
616 else |
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|
617 { |
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|
618 // complex case |
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619 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
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|
620 FloatComplexColumnVector u = |
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621 argu.float_complex_column_vector_value (); |
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622 |
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|
623 FloatComplexCHOL fact; |
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624 fact.set (R); |
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625 |
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|
626 if (down) |
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|
627 err = fact.downdate (u); |
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|
628 else |
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|
629 fact.update (u); |
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|
630 |
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changeset
|
631 retval = ovl (get_chol_r (fact)); |
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|
632 } |
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|
633 } |
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|
634 else |
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|
635 { |
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636 if (argr.is_real_type () && argu.is_real_type ()) |
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637 { |
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|
638 // real case |
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|
639 Matrix R = argr.matrix_value (); |
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|
640 ColumnVector u = argu.column_vector_value (); |
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641 |
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|
642 CHOL fact; |
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|
643 fact.set (R); |
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|
644 |
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|
645 if (down) |
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|
646 err = fact.downdate (u); |
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|
647 else |
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|
648 fact.update (u); |
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|
649 |
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changeset
|
650 retval = ovl (get_chol_r (fact)); |
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|
651 } |
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|
652 else |
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|
653 { |
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diff
changeset
|
654 // complex case |
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changeset
|
655 ComplexMatrix R = argr.complex_matrix_value (); |
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656 ComplexColumnVector u = argu.complex_column_vector_value (); |
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657 |
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658 ComplexCHOL fact; |
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659 fact.set (R); |
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660 |
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661 if (down) |
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662 err = fact.downdate (u); |
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663 else |
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664 fact.update (u); |
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665 |
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666 retval = ovl (get_chol_r (fact)); |
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667 } |
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668 } |
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669 |
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670 if (nargout > 1) |
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671 retval(1) = err; |
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672 else if (err == 1) |
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|
673 error ("cholupdate: downdate violates positiveness"); |
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|
674 else if (err == 2) |
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675 error ("cholupdate: singular matrix"); |
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676 |
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677 return retval; |
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678 } |
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679 |
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680 /* |
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681 %!shared A, u, Ac, uc |
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682 %! A = [ 0.436997 -0.131721 0.124120 -0.061673 ; |
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683 %! -0.131721 0.738529 0.019851 -0.140295 ; |
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684 %! 0.124120 0.019851 0.354879 -0.059472 ; |
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685 %! -0.061673 -0.140295 -0.059472 0.600939 ]; |
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686 %! |
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687 %! u = [ 0.98950 ; |
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688 %! 0.39844 ; |
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689 %! 0.63484 ; |
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690 %! 0.13351 ]; |
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691 %! Ac = [ 0.5585528 + 0.0000000i -0.1662088 - 0.0315341i 0.0107873 + 0.0236411i -0.0276775 - 0.0186073i ; |
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692 %! -0.1662088 + 0.0315341i 0.6760061 + 0.0000000i 0.0011452 - 0.0475528i 0.0145967 + 0.0247641i ; |
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Second set of single precision test code and fix of resulting bugs
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693 %! 0.0107873 - 0.0236411i 0.0011452 + 0.0475528i 0.6263149 - 0.0000000i -0.1585837 - 0.0719763i ; |
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694 %! -0.0276775 + 0.0186073i 0.0145967 - 0.0247641i -0.1585837 + 0.0719763i 0.6034234 - 0.0000000i ]; |
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695 %! |
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David Bateman <dbateman@free.fr>
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696 %! uc = [ 0.54267 + 0.91519i ; |
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697 %! 0.99647 + 0.43141i ; |
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698 %! 0.83760 + 0.68977i ; |
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|
699 %! 0.39160 + 0.90378i ]; |
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700 |
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701 %!test |
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702 %! R = chol (A); |
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703 %! R1 = cholupdate (R, u); |
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704 %! assert (norm (triu (R1)-R1, Inf), 0); |
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705 %! assert (norm (R1'*R1 - R'*R - u*u', Inf) < 1e1*eps); |
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706 %! |
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|
707 %! R1 = cholupdate (R1, u, "-"); |
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|
708 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
709 %! assert (norm (R1 - R, Inf) < 1e1*eps); |
7814
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|
710 |
87865ed7405f
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|
711 %!test |
14501
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|
712 %! R = chol (Ac); |
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|
713 %! R1 = cholupdate (R, uc); |
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|
714 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
715 %! assert (norm (R1'*R1 - R'*R - uc*uc', Inf) < 1e1*eps); |
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|
716 %! |
14501
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|
717 %! R1 = cholupdate (R1, uc, "-"); |
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|
718 %! assert (norm (triu (R1)-R1, Inf), 0); |
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parents:
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diff
changeset
|
719 %! assert (norm (R1 - R, Inf) < 1e1*eps); |
7814
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Second set of single precision test code and fix of resulting bugs
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parents:
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diff
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|
720 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
721 %!test |
14501
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|
722 %! R = chol (single (A)); |
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parents:
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diff
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|
723 %! R1 = cholupdate (R, single (u)); |
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parents:
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diff
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|
724 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
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parents:
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changeset
|
725 %! assert (norm (R1'*R1 - R'*R - single (u*u'), Inf) < 1e1*eps ("single")); |
11586
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strip trailing whitespace from source files
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parents:
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changeset
|
726 %! |
14501
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parents:
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|
727 %! R1 = cholupdate (R1, single (u), "-"); |
60e5cf354d80
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parents:
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diff
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|
728 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
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|
729 %! assert (norm (R1 - R, Inf) < 2e1*eps ("single")); |
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Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
730 |
7814
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
731 %!test |
14501
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parents:
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|
732 %! R = chol (single (Ac)); |
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parents:
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diff
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|
733 %! R1 = cholupdate (R, single (uc)); |
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|
734 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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|
735 %! assert (norm (R1'*R1 - R'*R - single (uc*uc'), Inf) < 1e1*eps ("single")); |
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|
736 %! |
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|
737 %! R1 = cholupdate (R1, single (uc), "-"); |
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parents:
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|
738 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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parents:
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changeset
|
739 %! assert (norm (R1 - R, Inf) < 2e1*eps ("single")); |
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|
740 */ |
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parents:
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diff
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|
741 |
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|
742 DEFUN_DLD (cholinsert, args, nargout, |
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Use GNU style coding conventions for code in libinterp/
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parents:
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diff
changeset
|
743 "-*- texinfo -*-\n\ |
20853
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2015 Code Sprint: remove class of function from docstring for all C++ files.
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parents:
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|
744 @deftypefn {} {@var{R1} =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
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parents:
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changeset
|
745 @deftypefnx {} {[@var{R1}, @var{info}] =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
10840 | 746 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
747 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
748 triangular, return the Cholesky@tie{}factorization of\n\ | |
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|
749 @var{A1}, where @w{A1(p,p) = A}, @w{A1(:,j) = A1(j,:)' = u} and\n\ |
9064
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Check grammar on all .cc files
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diff
changeset
|
750 @w{p = [1:j-1,j+1:n+1]}. @w{u(j)} should be positive.\n\ |
20163
075a5e2e1ba5
doc: Update more docstrings to have one sentence summary as first line.
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|
751 \n\ |
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|
752 On return, @var{info} is set to\n\ |
14620
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|
753 \n\ |
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|
754 @itemize\n\ |
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|
755 @item 0 if the insertion was successful,\n\ |
10840 | 756 \n\ |
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|
757 @item 1 if @var{A1} is not positive definite,\n\ |
10840 | 758 \n\ |
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|
759 @item 2 if @var{R} is singular.\n\ |
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760 @end itemize\n\ |
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|
761 \n\ |
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|
762 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
16920
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|
763 @seealso{chol, cholupdate, choldelete, cholshift}\n\ |
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|
764 @end deftypefn") |
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|
765 { |
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|
766 if (args.length () != 3) |
20790
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|
767 print_usage (); |
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|
768 |
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|
769 octave_value argr = args(0); |
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|
770 octave_value argj = args(1); |
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diff
changeset
|
771 octave_value argu = args(2); |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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diff
changeset
|
772 |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
773 if (! argr.is_numeric_type () || ! argu.is_numeric_type () |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
774 || ! argj.is_real_scalar ()) |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
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diff
changeset
|
775 print_usage (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
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|
776 |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
777 octave_idx_type n = argr.rows (); |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
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changeset
|
778 octave_idx_type j = argj.scalar_value (); |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
779 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
780 if (argr.columns () != n || argu.rows () != n+1 || argu.columns () != 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
781 error ("cholinsert: dimension mismatch between R and U"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
782 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
783 if (j < 1 || j > n+1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
784 error ("cholinsert: index J out of range"); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
785 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
786 octave_value_list retval (nargout == 2 ? 2 : 1); |
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
787 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
788 int err = 0; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
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diff
changeset
|
789 if (argr.is_single_type () || argu.is_single_type ()) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
790 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
791 if (argr.is_real_type () && argu.is_real_type ()) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
792 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
793 // real case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
794 FloatMatrix R = argr.float_matrix_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
795 FloatColumnVector u = argu.float_column_vector_value (); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
796 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
797 FloatCHOL fact; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
798 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
799 err = fact.insert_sym (u, j-1); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
800 |
20939
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maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
801 retval = ovl (get_chol_r (fact)); |
7700
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diff
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|
802 } |
efccca5f2ad7
more QR & Cholesky updating functions
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diff
changeset
|
803 else |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
804 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
805 // complex case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
806 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
807 FloatComplexColumnVector u = |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
808 argu.float_complex_column_vector_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
809 |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
810 FloatComplexCHOL fact; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
811 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
812 err = fact.insert_sym (u, j-1); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
813 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
814 retval = ovl (get_chol_r (fact)); |
20863
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2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
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diff
changeset
|
815 } |
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efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
816 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
817 else |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
818 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
819 if (argr.is_real_type () && argu.is_real_type ()) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
820 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
821 // real case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
822 Matrix R = argr.matrix_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
823 ColumnVector u = argu.column_vector_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
824 |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
825 CHOL fact; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
826 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
827 err = fact.insert_sym (u, j-1); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
828 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
829 retval = ovl (get_chol_r (fact)); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
830 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
831 else |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
832 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
833 // complex case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
834 ComplexMatrix R = argr.complex_matrix_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
835 ComplexColumnVector u = |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
836 argu.complex_column_vector_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
837 |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
838 ComplexCHOL fact; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
839 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
840 err = fact.insert_sym (u, j-1); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
841 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
842 retval = ovl (get_chol_r (fact)); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
843 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
844 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
845 |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
846 if (nargout > 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
847 retval(1) = err; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
848 else if (err == 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
849 error ("cholinsert: insertion violates positiveness"); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
850 else if (err == 2) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
851 error ("cholinsert: singular matrix"); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
852 else if (err == 3) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
853 error ("cholinsert: diagonal element must be real"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
854 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
855 return retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
856 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
857 |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
858 /* |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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diff
changeset
|
859 %!test |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
860 %! u2 = [ 0.35080 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
861 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
862 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
863 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
864 %! 0.45266 ]; |
7700
efccca5f2ad7
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diff
changeset
|
865 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
866 %! R = chol (A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
867 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
868 %! 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:
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diff
changeset
|
869 %! 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
|
870 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
871 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
872 %! 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
|
873 %! 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
|
874 |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
875 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
876 %! 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
|
877 %! 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
|
878 %! 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
|
879 %! -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
|
880 %! 0.45266 + 0.50020i]; |
7700
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
881 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
882 %! R = chol (Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
883 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
884 %! 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
|
885 %! 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
|
886 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
887 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
888 %! 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
|
889 %! 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
|
890 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
891 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
892 %! 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
|
893 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
894 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
895 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
896 %! 0.45266 ]); |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
897 %! |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
898 %! R = chol (single (A)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
899 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
900 %! 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
|
901 %! 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
|
902 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
903 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
904 %! 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
|
905 %! 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
|
906 |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
907 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
908 %! 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
|
909 %! 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
|
910 %! 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
|
911 %! -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
|
912 %! 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
|
913 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
914 %! R = chol (single (Ac)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
915 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
916 %! 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
|
917 %! 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
|
918 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
919 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
920 %! 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
|
921 %! 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
|
922 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
923 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
924 %! 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
|
925 %! 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
|
926 %! assert (cu, cl', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
927 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
928 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
929 %! cca = chol (Ac); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
930 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
931 %! ccal = chol (Ac, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
932 %! 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
|
933 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
934 %! ccau = chol (Ac, "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
935 %! 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
|
936 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
937 %! 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
|
938 %! 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
|
939 %! 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
|
940 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
941 %! assert (cca, ccal', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
942 %! assert (cca, ccau, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
943 %! assert (cca, ccal2', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
944 %! assert (cca, ccau2, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
945 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
946 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
947 %! 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
|
948 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
949 %! 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
|
950 %! 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
|
951 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
952 %! 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
|
953 %! 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
|
954 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
955 %! 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
|
956 %! 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
|
957 %! 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
|
958 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
959 %! 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
|
960 %! 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
|
961 %! 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
|
962 %! 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
|
963 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
964 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
965 %! 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
|
966 %! 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
|
967 %! 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
|
968 %! 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
|
969 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
970 %! 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
|
971 %! -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
|
972 %! -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
|
973 %! -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
|
974 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
975 %! ca = a + i*b; |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
976 %! |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
977 %! cca = chol (ca); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
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 %! ccal = chol (ca, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
980 %! 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
|
981 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
982 %! ccau = chol (ca, "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
983 %! 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
|
984 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
985 %! 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
|
986 %! 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
|
987 %! 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
|
988 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
989 %! 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
|
990 %! 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
|
991 %! 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
|
992 %! assert (cca, ccau2, 16*eps); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
993 */ |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
994 |
7924 | 995 DEFUN_DLD (choldelete, args, , |
17787
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996 "-*- texinfo -*-\n\ |
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997 @deftypefn {} {@var{R1} =} choldelete (@var{R}, @var{j})\n\ |
10840 | 998 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
999 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
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Grammarcheck more of the documentation.
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1000 triangular, return the Cholesky@tie{}factorization of @w{A(p,p)}, where\n\ |
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1001 @w{p = [1:j-1,j+1:n+1]}.\n\ |
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1002 @seealso{chol, cholupdate, cholinsert, cholshift}\n\ |
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1003 @end deftypefn") |
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1004 { |
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|
1005 if (args.length () != 2) |
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1006 print_usage (); |
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1007 |
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1008 octave_value argr = args(0); |
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1009 octave_value argj = args(1); |
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1010 |
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1011 if (! argr.is_numeric_type () || ! argj.is_real_scalar ()) |
0828bf20d105
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1012 print_usage (); |
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1013 |
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1014 octave_idx_type n = argr.rows (); |
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|
1015 octave_idx_type j = argj.scalar_value (); |
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1016 |
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1017 if (argr.columns () != n) |
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1018 error ("choldelete: matrix R must be square"); |
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1019 |
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1020 if (j < 0 && j > n) |
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|
1021 error ("choldelete: index J out of range"); |
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|
1022 |
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1023 octave_value_list retval; |
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1024 |
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1025 if (argr.is_single_type ()) |
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|
1026 { |
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|
1027 if (argr.is_real_type ()) |
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1028 { |
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|
1029 // real case |
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|
1030 FloatMatrix R = argr.float_matrix_value (); |
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|
1031 |
20939
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|
1032 FloatCHOL fact; |
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|
1033 fact.set (R); |
b17fda023ca6
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|
1034 fact.delete_sym (j-1); |
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|
1035 |
20939
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|
1036 retval = ovl (get_chol_r (fact)); |
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|
1037 } |
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|
1038 else |
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|
1039 { |
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|
1040 // complex case |
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|
1041 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
b17fda023ca6
maint: Use new C++ archetype in more files.
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|
1042 |
b17fda023ca6
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|
1043 FloatComplexCHOL fact; |
b17fda023ca6
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|
1044 fact.set (R); |
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|
1045 fact.delete_sym (j-1); |
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|
1046 |
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|
1047 retval = ovl (get_chol_r (fact)); |
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|
1048 } |
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|
1049 } |
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|
1050 else |
20939
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|
1051 { |
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|
1052 if (argr.is_real_type ()) |
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|
1053 { |
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maint: Use new C++ archetype in more files.
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diff
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|
1054 // real case |
b17fda023ca6
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|
1055 Matrix R = argr.matrix_value (); |
b17fda023ca6
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|
1056 |
b17fda023ca6
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|
1057 CHOL fact; |
b17fda023ca6
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|
1058 fact.set (R); |
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|
1059 fact.delete_sym (j-1); |
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|
1060 |
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|
1061 retval = ovl (get_chol_r (fact)); |
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|
1062 } |
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|
1063 else |
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|
1064 { |
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|
1065 // complex case |
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|
1066 ComplexMatrix R = argr.complex_matrix_value (); |
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|
1067 |
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|
1068 ComplexCHOL fact; |
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|
1069 fact.set (R); |
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|
1070 fact.delete_sym (j-1); |
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|
1071 |
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|
1072 retval = ovl (get_chol_r (fact)); |
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|
1073 } |
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|
1074 } |
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|
1075 |
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|
1076 return retval; |
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|
1077 } |
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|
1078 |
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|
1079 /* |
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|
1080 %!test |
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|
1081 %! R = chol (A); |
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|
1082 %! |
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|
1083 %! j = 3; p = [1:j-1,j+1:4]; |
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|
1084 %! R1 = choldelete (R, j); |
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|
1085 %! |
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|
1086 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
1087 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
7814
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|
1088 |
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|
1089 %!test |
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|
1090 %! R = chol (Ac); |
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|
1091 %! |
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|
1092 %! j = 3; p = [1:j-1,j+1:4]; |
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|
1093 %! R1 = choldelete (R, j); |
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|
1094 %! |
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|
1095 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
1096 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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|
1097 |
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|
1098 %!test |
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|
1099 %! R = chol (single (A)); |
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|
1100 %! |
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|
1101 %! j = 3; p = [1:j-1,j+1:4]; |
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|
1102 %! R1 = choldelete (R, j); |
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|
1103 %! |
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|
1104 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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|
1105 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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|
1106 |
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|
1107 %!test |
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|
1108 %! R = chol (single (Ac)); |
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1109 %! |
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|
1110 %! j = 3; p = [1:j-1,j+1:4]; |
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|
1111 %! R1 = choldelete (R,j); |
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|
1112 %! |
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1113 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
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1114 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1115 */ |
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1116 |
7924 | 1117 DEFUN_DLD (cholshift, args, , |
17787
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Use GNU style coding conventions for code in libinterp/
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|
1118 "-*- texinfo -*-\n\ |
20853
1142cf6abc0d
2015 Code Sprint: remove class of function from docstring for all C++ files.
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|
1119 @deftypefn {} {@var{R1} =} cholshift (@var{R}, @var{i}, @var{j})\n\ |
10840 | 1120 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
1121 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
1122 triangular, return the Cholesky@tie{}factorization of\n\ | |
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1123 @w{@var{A}(p,p)}, where @w{p} is the permutation @*\n\ |
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1124 @code{p = [1:i-1, shift(i:j, 1), j+1:n]} if @w{@var{i} < @var{j}} @*\n\ |
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1125 or @*\n\ |
9064
7c02ec148a3c
Check grammar on all .cc files
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1126 @code{p = [1:j-1, shift(j:i,-1), i+1:n]} if @w{@var{j} < @var{i}}. @*\n\ |
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1127 \n\ |
16920
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doc: Add seealso links between various factorization forms.
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1128 @seealso{chol, cholupdate, cholinsert, choldelete}\n\ |
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1129 @end deftypefn") |
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1130 { |
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|
1131 if (args.length () != 3) |
20790
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eliminate return statements after calls to print_usage
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|
1132 print_usage (); |
7700
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1133 |
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1134 octave_value argr = args(0); |
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1135 octave_value argi = args(1); |
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1136 octave_value argj = args(2); |
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1137 |
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|
1138 if (! argr.is_numeric_type () || ! argi.is_real_scalar () |
0828bf20d105
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|
1139 || ! argj.is_real_scalar ()) |
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|
1140 print_usage (); |
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1141 |
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|
1142 octave_idx_type n = argr.rows (); |
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|
1143 octave_idx_type i = argi.scalar_value (); |
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1144 octave_idx_type j = argj.scalar_value (); |
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1145 |
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1146 if (argr.columns () != n) |
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1147 error ("cholshift: R must be a square matrix"); |
7814
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Second set of single precision test code and fix of resulting bugs
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1148 |
20939
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1149 if (j < 0 || j > n+1 || i < 0 || i > n+1) |
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1150 error ("cholshift: index I or J is out of range"); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
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1151 |
20939
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1152 octave_value_list retval; |
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1153 |
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1154 if (argr.is_single_type () && argi.is_single_type () |
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1155 && argj.is_single_type ()) |
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1156 { |
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1157 if (argr.is_real_type ()) |
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1158 { |
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1159 // real case |
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|
1160 FloatMatrix R = argr.float_matrix_value (); |
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1161 |
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|
1162 FloatCHOL fact; |
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|
1163 fact.set (R); |
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|
1164 fact.shift_sym (i-1, j-1); |
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1165 |
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|
1166 retval = ovl (get_chol_r (fact)); |
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1167 } |
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1168 else |
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1169 { |
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|
1170 // complex case |
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|
1171 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
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1172 |
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1173 FloatComplexCHOL fact; |
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|
1174 fact.set (R); |
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1175 fact.shift_sym (i-1, j-1); |
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1176 |
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1177 retval = ovl (get_chol_r (fact)); |
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1178 } |
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1179 } |
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1180 else |
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1181 { |
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1182 if (argr.is_real_type ()) |
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1183 { |
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1184 // real case |
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1185 Matrix R = argr.matrix_value (); |
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1186 |
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1187 CHOL fact; |
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|
1188 fact.set (R); |
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1189 fact.shift_sym (i-1, j-1); |
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1190 |
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1191 retval = ovl (get_chol_r (fact)); |
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1192 } |
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1193 else |
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1194 { |
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1195 // complex case |
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1196 ComplexMatrix R = argr.complex_matrix_value (); |
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1197 |
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1198 ComplexCHOL fact; |
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|
1199 fact.set (R); |
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|
1200 fact.shift_sym (i-1, j-1); |
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1201 |
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1202 retval = ovl (get_chol_r (fact)); |
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1203 } |
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1204 } |
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1205 |
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1206 return retval; |
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1207 } |
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1208 |
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1209 /* |
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1210 %!test |
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1211 %! R = chol (A); |
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1212 %! |
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1213 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1214 %! R1 = cholshift (R, i, j); |
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1215 %! |
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1216 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
1217 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
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1218 %! |
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|
1219 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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|
1220 %! R1 = cholshift (R, i, j); |
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1221 %! |
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|
1222 %! assert (norm (triu (R1) - R1, Inf), 0); |
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|
1223 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
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1224 |
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1225 %!test |
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|
1226 %! R = chol (Ac); |
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1227 %! |
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1228 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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|
1229 %! R1 = cholshift (R, i, j); |
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1230 %! |
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1231 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1232 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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1233 %! |
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1234 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1235 %! R1 = cholshift (R, i, j); |
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1236 %! |
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1237 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1238 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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1239 |
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1240 %!test |
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1241 %! R = chol (single (A)); |
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1242 %! |
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1243 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1244 %! R1 = cholshift (R, i, j); |
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1245 %! |
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1246 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1247 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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1248 %! |
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1249 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1250 %! R1 = cholshift (R, i, j); |
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1251 %! |
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1252 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1253 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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1254 |
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1255 %!test |
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1256 %! R = chol (single (Ac)); |
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1257 %! |
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1258 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1259 %! R1 = cholshift (R, i, j); |
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1260 %! |
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1261 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1262 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1263 %! |
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1264 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1265 %! R1 = cholshift (R, i, j); |
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1266 %! |
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1267 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1268 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1269 */ |