Mercurial > hg > octave-nkf
annotate src/DLD-FUNCTIONS/chol.cc @ 13294:7dce7e110511
make concatenation of class objects work
* data.h: New file.
* src/Makefile.am (octinclude_HEADERS): Add it to the list.
* data.cc (attempt_type_conversion): New static function.
(do_class_concat): New function.
(do_cat): Use it if any elements of the list are objects.
Check whether any elements of the list are objects or cells.
Check whether all elements of the list are complex.
Check whether the first element of the list is a struct.
Maybe convert elements of the list to cells.
New tests for horzcat and vertcat.
* data.h (do_class_concat): Provide decl.
* ov-class.h (octave_class::octave_class): Allow optional parent
list.
* ov.h, ov.h (octave_value::octave_value (const Octave_map&,
const std::string&)): Likewise.
* pt-mat.cc (do_class_concat): New static function.
(tree_matrix::rvalue1): Use it to concatenate objects.
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 07 Oct 2011 22:16:07 -0400 |
parents | d6bd2f2c35cc |
children | 5fa482628bf6 |
rev | line source |
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2928 | 1 /* |
2 | |
11523 | 3 Copyright (C) 1996-2011 John W. Eaton |
4 Copyright (C) 2008-2009 Jaroslav Hajek | |
5 Copyright (C) 2008-2009 VZLU Prague | |
2928 | 6 |
7 This file is part of Octave. | |
8 | |
9 Octave is free software; you can redistribute it and/or modify it | |
10 under the terms of the GNU General Public License as published by the | |
7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
12 option) any later version. | |
2928 | 13 |
14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
17 for more details. | |
18 | |
19 You should have received a copy of the GNU General Public License | |
7016 | 20 along with Octave; see the file COPYING. If not, see |
21 <http://www.gnu.org/licenses/>. | |
2928 | 22 |
23 */ | |
24 | |
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25 |
2928 | 26 #ifdef HAVE_CONFIG_H |
27 #include <config.h> | |
28 #endif | |
29 | |
30 #include "CmplxCHOL.h" | |
31 #include "dbleCHOL.h" | |
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32 #include "fCmplxCHOL.h" |
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33 #include "floatCHOL.h" |
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34 #include "SparseCmplxCHOL.h" |
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35 #include "SparsedbleCHOL.h" |
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36 #include "oct-spparms.h" |
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37 #include "sparse-util.h" |
2928 | 38 |
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39 #include "ov-re-sparse.h" |
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40 #include "ov-cx-sparse.h" |
2928 | 41 #include "defun-dld.h" |
42 #include "error.h" | |
43 #include "gripes.h" | |
44 #include "oct-obj.h" | |
45 #include "utils.h" | |
46 | |
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47 template <class CHOLT> |
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48 static octave_value |
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49 get_chol_r (const CHOLT& fact) |
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50 { |
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51 return octave_value (fact.chol_matrix (), |
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52 MatrixType (MatrixType::Upper)); |
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53 } |
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54 |
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55 template <class CHOLT> |
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56 static octave_value |
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57 get_chol_l (const CHOLT& fact) |
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58 { |
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59 return octave_value (fact.chol_matrix ().transpose (), |
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60 MatrixType (MatrixType::Lower)); |
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61 } |
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62 |
2928 | 63 DEFUN_DLD (chol, args, nargout, |
3548 | 64 "-*- texinfo -*-\n\ |
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65 @deftypefn {Loadable Function} {@var{R} =} chol (@var{A})\n\ |
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66 @deftypefnx {Loadable Function} {[@var{R}, @var{p}] =} chol (@var{A})\n\ |
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67 @deftypefnx {Loadable Function} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S})\n\ |
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68 @deftypefnx {Loadable Function} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S}, 'vector')\n\ |
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69 @deftypefnx {Loadable Function} {[@var{L}, @dots{}] =} chol (@dots{}, 'lower')\n\ |
3372 | 70 @cindex Cholesky factorization\n\ |
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71 Compute the Cholesky@tie{}factor, @var{R}, of the symmetric positive definite\n\ |
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72 matrix @var{A}, where\n\ |
3372 | 73 @tex\n\ |
74 $ R^T R = A $.\n\ | |
75 @end tex\n\ | |
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76 @ifnottex\n\ |
3372 | 77 \n\ |
78 @example\n\ | |
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79 @var{R}' * @var{R} = @var{A}.\n\ |
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80 @end example\n\ |
10840 | 81 \n\ |
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82 @end ifnottex\n\ |
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83 \n\ |
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84 Called with one output argument @code{chol} fails if @var{A} or @var{S} is\n\ |
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85 not positive definite. With two or more output arguments @var{p} flags\n\ |
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86 whether the matrix was positive definite and @code{chol} does not fail. A\n\ |
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87 zero value indicated that the matrix was positive definite and the @var{R}\n\ |
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88 gives the factorization, and @var{p} will have a positive value otherwise.\n\ |
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89 \n\ |
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90 If called with 3 outputs then a sparsity preserving row/column permutation\n\ |
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91 is applied to @var{A} prior to the factorization. That is @var{R}\n\ |
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92 is the factorization of @code{@var{A}(@var{Q},@var{Q})} such that\n\ |
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93 @tex\n\ |
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94 $ R^T R = Q^T A Q$.\n\ |
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95 @end tex\n\ |
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96 @ifnottex\n\ |
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97 \n\ |
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98 @example\n\ |
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99 @var{R}' * @var{R} = @var{Q}' * @var{A} * @var{Q}.\n\ |
3372 | 100 @end example\n\ |
10840 | 101 \n\ |
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102 @end ifnottex\n\ |
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103 \n\ |
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104 The sparsity preserving permutation is generally returned as a matrix.\n\ |
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105 However, given the flag 'vector', @var{Q} will be returned as a vector\n\ |
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106 such that\n\ |
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107 @tex\n\ |
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108 $ R^T R = A (Q, Q)$.\n\ |
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109 @end tex\n\ |
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110 @ifnottex\n\ |
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111 \n\ |
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112 @example\n\ |
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113 @var{R}' * @var{R} = @var{A}(@var{Q}, @var{Q}).\n\ |
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114 @end example\n\ |
10840 | 115 \n\ |
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116 @end ifnottex\n\ |
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117 \n\ |
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118 Called with either a sparse or full matrix and using the 'lower' flag,\n\ |
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119 @code{chol} returns the lower triangular factorization such that\n\ |
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120 @tex\n\ |
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121 $ L L^T = A $.\n\ |
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122 @end tex\n\ |
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123 @ifnottex\n\ |
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124 \n\ |
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125 @example\n\ |
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126 @var{L} * @var{L}' = @var{A}.\n\ |
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127 @end example\n\ |
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129 @end ifnottex\n\ |
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130 \n\ |
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131 In general the lower triangular factorization is significantly faster for\n\ |
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132 sparse matrices.\n\ |
5340 | 133 @seealso{cholinv, chol2inv}\n\ |
3372 | 134 @end deftypefn") |
2928 | 135 { |
136 octave_value_list retval; | |
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137 int nargin = args.length (); |
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138 bool LLt = false; |
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139 bool vecout = false; |
2928 | 140 |
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141 if (nargin < 1 || nargin > 3 || nargout > 3 |
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142 || (! args(0).is_sparse_type () && nargout > 2)) |
2928 | 143 { |
5823 | 144 print_usage (); |
2928 | 145 return retval; |
146 } | |
147 | |
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148 int n = 1; |
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149 while (n < nargin && ! error_state) |
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150 { |
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151 std::string tmp = args(n++).string_value (); |
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152 |
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153 if (! error_state ) |
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154 { |
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155 if (tmp.compare ("vector") == 0) |
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156 vecout = true; |
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157 else if (tmp.compare ("lower") == 0) |
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158 LLt = true; |
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159 else if (tmp.compare ("upper") == 0) |
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160 LLt = false; |
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161 else |
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162 error ("chol: unexpected second or third input"); |
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163 } |
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164 else |
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165 error ("chol: expecting trailing string arguments"); |
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166 } |
2928 | 167 |
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168 if (! error_state) |
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169 { |
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170 octave_value arg = args(0); |
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171 |
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172 octave_idx_type nr = arg.rows (); |
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173 octave_idx_type nc = arg.columns (); |
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174 bool natural = (nargout != 3); |
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175 |
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176 int arg_is_empty = empty_arg ("chol", nr, nc); |
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178 if (arg_is_empty < 0) |
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179 return retval; |
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180 if (arg_is_empty > 0) |
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181 return octave_value (Matrix ()); |
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182 |
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183 if (arg.is_sparse_type ()) |
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184 { |
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185 if (arg.is_real_type ()) |
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186 { |
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187 SparseMatrix m = arg.sparse_matrix_value (); |
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189 if (! error_state) |
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190 { |
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191 octave_idx_type info; |
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192 SparseCHOL fact (m, info, natural); |
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193 if (nargout == 3) |
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194 { |
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195 if (vecout) |
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196 retval(2) = fact.perm (); |
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197 else |
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198 retval(2) = fact.Q(); |
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199 } |
2928 | 200 |
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201 if (nargout > 1 || info == 0) |
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202 { |
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203 retval(1) = fact.P(); |
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204 if (LLt) |
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205 retval(0) = fact.L(); |
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206 else |
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207 retval(0) = fact.R(); |
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208 } |
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209 else |
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210 error ("chol: input matrix must be positive definite"); |
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211 } |
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212 } |
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213 else if (arg.is_complex_type ()) |
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214 { |
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215 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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216 |
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217 if (! error_state) |
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218 { |
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219 octave_idx_type info; |
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220 SparseComplexCHOL fact (m, info, natural); |
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221 |
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222 if (nargout == 3) |
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223 { |
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224 if (vecout) |
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225 retval(2) = fact.perm (); |
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226 else |
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227 retval(2) = fact.Q(); |
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228 } |
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229 |
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230 if (nargout > 1 || info == 0) |
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231 { |
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232 retval(1) = fact.P(); |
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233 if (LLt) |
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234 retval(0) = fact.L(); |
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235 else |
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236 retval(0) = fact.R(); |
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237 } |
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238 else |
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239 error ("chol: input matrix must be positive definite"); |
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240 } |
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|
241 } |
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242 else |
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243 gripe_wrong_type_arg ("chol", arg); |
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244 } |
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245 else if (arg.is_single_type ()) |
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246 { |
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247 if (arg.is_real_type ()) |
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248 { |
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249 FloatMatrix m = arg.float_matrix_value (); |
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250 |
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251 if (! error_state) |
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252 { |
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253 octave_idx_type info; |
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254 FloatCHOL fact (m, info); |
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255 if (nargout == 2 || info == 0) |
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256 { |
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257 retval(1) = info; |
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258 if (LLt) |
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259 retval(0) = get_chol_l (fact); |
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260 else |
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261 retval(0) = get_chol_r (fact); |
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262 } |
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263 else |
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|
264 error ("chol: input matrix must be positive definite"); |
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265 } |
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266 } |
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267 else if (arg.is_complex_type ()) |
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268 { |
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269 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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270 |
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271 if (! error_state) |
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272 { |
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273 octave_idx_type info; |
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274 FloatComplexCHOL fact (m, info); |
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275 if (nargout == 2 || info == 0) |
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276 { |
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277 retval(1) = info; |
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278 if (LLt) |
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279 retval(0) = get_chol_l (fact); |
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280 else |
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281 retval(0) = get_chol_r (fact); |
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282 } |
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283 else |
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284 error ("chol: input matrix must be positive definite"); |
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285 } |
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286 } |
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287 else |
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288 gripe_wrong_type_arg ("chol", arg); |
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289 } |
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290 else |
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291 { |
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292 if (arg.is_real_type ()) |
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293 { |
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294 Matrix m = arg.matrix_value (); |
2928 | 295 |
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296 if (! error_state) |
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297 { |
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298 octave_idx_type info; |
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299 CHOL fact (m, info); |
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300 if (nargout == 2 || info == 0) |
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301 { |
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302 retval(1) = info; |
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303 if (LLt) |
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304 retval(0) = get_chol_l (fact); |
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305 else |
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306 retval(0) = get_chol_r (fact); |
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307 } |
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308 else |
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309 error ("chol: input matrix must be positive definite"); |
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310 } |
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311 } |
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312 else if (arg.is_complex_type ()) |
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313 { |
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314 ComplexMatrix m = arg.complex_matrix_value (); |
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315 |
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316 if (! error_state) |
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317 { |
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318 octave_idx_type info; |
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319 ComplexCHOL fact (m, info); |
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320 if (nargout == 2 || info == 0) |
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321 { |
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322 retval(1) = info; |
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323 if (LLt) |
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324 retval(0) = get_chol_l (fact); |
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325 else |
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326 retval(0) = get_chol_r (fact); |
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327 } |
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328 else |
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329 error ("chol: input matrix must be positive definite"); |
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330 } |
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331 } |
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332 else |
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333 gripe_wrong_type_arg ("chol", arg); |
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334 } |
2928 | 335 } |
336 | |
337 return retval; | |
338 } | |
339 | |
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340 /* |
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341 |
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342 %!assert(chol ([2, 1; 1, 1]), [sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)], sqrt (eps)); |
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343 %!assert(chol (single([2, 1; 1, 1])), single([sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)]), sqrt (eps('single'))); |
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344 |
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345 %!error chol ([1, 2; 3, 4]); |
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346 %!error chol ([1, 2; 3, 4; 5, 6]); |
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347 %!error <Invalid call to chol.*> chol (); |
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348 %!error <unexpected second or third input.*> chol (1, 2); |
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349 |
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350 */ |
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351 |
5760 | 352 DEFUN_DLD (cholinv, args, , |
5340 | 353 "-*- texinfo -*-\n\ |
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354 @deftypefn {Loadable Function} {} cholinv (@var{A})\n\ |
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355 Use the Cholesky@tie{}factorization to compute the inverse of the\n\ |
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356 symmetric positive definite matrix @var{A}.\n\ |
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357 @seealso{chol, chol2inv, inv}\n\ |
5340 | 358 @end deftypefn") |
359 { | |
360 octave_value retval; | |
361 | |
362 int nargin = args.length (); | |
363 | |
364 if (nargin == 1) | |
365 { | |
366 octave_value arg = args(0); | |
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367 |
5340 | 368 octave_idx_type nr = arg.rows (); |
369 octave_idx_type nc = arg.columns (); | |
370 | |
371 if (nr == 0 || nc == 0) | |
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372 retval = Matrix (); |
5340 | 373 else |
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374 { |
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375 if (arg.is_sparse_type ()) |
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376 { |
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377 if (arg.is_real_type ()) |
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378 { |
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379 SparseMatrix m = arg.sparse_matrix_value (); |
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380 |
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381 if (! error_state) |
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382 { |
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383 octave_idx_type info; |
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384 SparseCHOL chol (m, info); |
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385 if (info == 0) |
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386 retval = chol.inverse (); |
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387 else |
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388 error ("cholinv: A must be positive definite"); |
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389 } |
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390 } |
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391 else if (arg.is_complex_type ()) |
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392 { |
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393 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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394 |
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395 if (! error_state) |
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396 { |
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397 octave_idx_type info; |
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398 SparseComplexCHOL chol (m, info); |
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399 if (info == 0) |
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400 retval = chol.inverse (); |
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401 else |
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402 error ("cholinv: A must be positive definite"); |
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403 } |
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404 } |
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405 else |
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406 gripe_wrong_type_arg ("cholinv", arg); |
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407 } |
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408 else if (arg.is_single_type ()) |
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409 { |
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410 if (arg.is_real_type ()) |
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411 { |
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412 FloatMatrix m = arg.float_matrix_value (); |
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413 |
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414 if (! error_state) |
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415 { |
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416 octave_idx_type info; |
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417 FloatCHOL chol (m, info); |
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418 if (info == 0) |
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419 retval = chol.inverse (); |
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420 else |
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421 error ("cholinv: A must be positive definite"); |
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422 } |
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423 } |
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424 else if (arg.is_complex_type ()) |
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425 { |
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426 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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427 |
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428 if (! error_state) |
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429 { |
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430 octave_idx_type info; |
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431 FloatComplexCHOL chol (m, info); |
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432 if (info == 0) |
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433 retval = chol.inverse (); |
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434 else |
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|
435 error ("cholinv: A must be positive definite"); |
10154
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436 } |
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437 } |
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438 else |
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439 gripe_wrong_type_arg ("chol", arg); |
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440 } |
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441 else |
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442 { |
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443 if (arg.is_real_type ()) |
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444 { |
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445 Matrix m = arg.matrix_value (); |
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446 |
10154
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447 if (! error_state) |
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448 { |
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449 octave_idx_type info; |
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450 CHOL chol (m, info); |
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451 if (info == 0) |
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452 retval = chol.inverse (); |
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453 else |
11553
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|
454 error ("cholinv: A must be positive definite"); |
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455 } |
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456 } |
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457 else if (arg.is_complex_type ()) |
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458 { |
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459 ComplexMatrix m = arg.complex_matrix_value (); |
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460 |
10154
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461 if (! error_state) |
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462 { |
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463 octave_idx_type info; |
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464 ComplexCHOL chol (m, info); |
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465 if (info == 0) |
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466 retval = chol.inverse (); |
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467 else |
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Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
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|
468 error ("cholinv: A must be positive definite"); |
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469 } |
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470 } |
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|
471 else |
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472 gripe_wrong_type_arg ("chol", arg); |
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473 } |
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|
474 } |
5340 | 475 } |
476 else | |
5823 | 477 print_usage (); |
5340 | 478 |
479 return retval; | |
480 } | |
481 | |
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Fix sparse cholesky inversion
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|
482 /* |
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|
483 |
8871 | 484 %!shared A, Ainv |
8402
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Fix sparse cholesky inversion
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diff
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|
485 %! A = [2,0.2;0.2,1]; |
2176f2b4599e
Fix sparse cholesky inversion
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|
486 %! Ainv = inv(A); |
8871 | 487 %!test |
8402
2176f2b4599e
Fix sparse cholesky inversion
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parents:
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changeset
|
488 %! Ainv1 = cholinv(A); |
8871 | 489 %! assert (norm(Ainv-Ainv1),0,1e-10) |
490 %!testif HAVE_CHOLMOD | |
8402
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Fix sparse cholesky inversion
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|
491 %! Ainv2 = inv(sparse(A)); |
8871 | 492 %! assert (norm(Ainv-Ainv2),0,1e-10) |
8880
078ca05e4ef8
chol.cc: correct spelling of CHOLMOD in tests
John W. Eaton <jwe@octave.org>
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8872
diff
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|
493 %!testif HAVE_CHOLMOD |
8402
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|
494 %! Ainv3 = cholinv(sparse(A)); |
8871 | 495 %! assert (norm(Ainv-Ainv3),0,1e-10) |
8402
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|
496 |
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diff
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|
497 */ |
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|
498 |
5760 | 499 DEFUN_DLD (chol2inv, args, , |
5340 | 500 "-*- texinfo -*-\n\ |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
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diff
changeset
|
501 @deftypefn {Loadable Function} {} chol2inv (@var{U})\n\ |
5340 | 502 Invert a symmetric, positive definite square matrix from its Cholesky\n\ |
11553
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Improve docstrings for functions in DLD-FUNCTIONS directory.
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changeset
|
503 decomposition, @var{U}. Note that @var{U} should be an upper-triangular\n\ |
01f703952eff
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changeset
|
504 matrix with positive diagonal elements. @code{chol2inv (@var{U})}\n\ |
01f703952eff
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changeset
|
505 provides @code{inv (@var{U}'*@var{U})} but it is much faster than\n\ |
5343 | 506 using @code{inv}.\n\ |
11553
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diff
changeset
|
507 @seealso{chol, cholinv, inv}\n\ |
5340 | 508 @end deftypefn") |
509 { | |
510 octave_value retval; | |
511 | |
512 int nargin = args.length (); | |
513 | |
514 if (nargin == 1) | |
515 { | |
516 octave_value arg = args(0); | |
11586
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diff
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|
517 |
5340 | 518 octave_idx_type nr = arg.rows (); |
519 octave_idx_type nc = arg.columns (); | |
520 | |
521 if (nr == 0 || nc == 0) | |
10154
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|
522 retval = Matrix (); |
5340 | 523 else |
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|
524 { |
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|
525 if (arg.is_sparse_type ()) |
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|
526 { |
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changeset
|
527 if (arg.is_real_type ()) |
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|
528 { |
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diff
changeset
|
529 SparseMatrix r = arg.sparse_matrix_value (); |
5340 | 530 |
10154
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|
531 if (! error_state) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
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|
532 retval = chol2inv (r); |
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|
533 } |
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|
534 else if (arg.is_complex_type ()) |
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|
535 { |
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|
536 SparseComplexMatrix r = arg.sparse_complex_matrix_value (); |
5340 | 537 |
10154
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|
538 if (! error_state) |
40dfc0c99116
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|
539 retval = chol2inv (r); |
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9862
diff
changeset
|
540 } |
40dfc0c99116
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|
541 else |
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changeset
|
542 gripe_wrong_type_arg ("chol2inv", arg); |
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|
543 } |
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|
544 else if (arg.is_single_type ()) |
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|
545 { |
40dfc0c99116
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|
546 if (arg.is_real_type ()) |
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|
547 { |
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changeset
|
548 FloatMatrix r = arg.float_matrix_value (); |
7814
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Second set of single precision test code and fix of resulting bugs
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|
549 |
10154
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|
550 if (! error_state) |
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|
551 retval = chol2inv (r); |
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|
552 } |
40dfc0c99116
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|
553 else if (arg.is_complex_type ()) |
40dfc0c99116
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diff
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|
554 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
555 FloatComplexMatrix r = arg.float_complex_matrix_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
556 |
10154
40dfc0c99116
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|
557 if (! error_state) |
40dfc0c99116
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|
558 retval = chol2inv (r); |
40dfc0c99116
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|
559 } |
40dfc0c99116
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diff
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|
560 else |
40dfc0c99116
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changeset
|
561 gripe_wrong_type_arg ("chol2inv", arg); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
562 |
10154
40dfc0c99116
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|
563 } |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
564 else |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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changeset
|
565 { |
40dfc0c99116
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diff
changeset
|
566 if (arg.is_real_type ()) |
40dfc0c99116
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|
567 { |
40dfc0c99116
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changeset
|
568 Matrix r = arg.matrix_value (); |
7515
f3c00dc0912b
Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
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diff
changeset
|
569 |
10154
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570 if (! error_state) |
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571 retval = chol2inv (r); |
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572 } |
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573 else if (arg.is_complex_type ()) |
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574 { |
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575 ComplexMatrix r = arg.complex_matrix_value (); |
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576 |
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577 if (! error_state) |
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578 retval = chol2inv (r); |
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579 } |
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580 else |
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581 gripe_wrong_type_arg ("chol2inv", arg); |
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582 } |
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583 } |
5340 | 584 } |
585 else | |
5823 | 586 print_usage (); |
5340 | 587 |
588 return retval; | |
589 } | |
590 | |
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591 DEFUN_DLD (cholupdate, args, nargout, |
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592 "-*- texinfo -*-\n\ |
7650 | 593 @deftypefn {Loadable Function} {[@var{R1}, @var{info}] =} cholupdate (@var{R}, @var{u}, @var{op})\n\ |
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594 Update or downdate a Cholesky@tie{}factorization. Given an upper triangular\n\ |
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595 matrix @var{R} and a column vector @var{u}, attempt to determine another\n\ |
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596 upper triangular matrix @var{R1} such that\n\ |
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597 @itemize @bullet\n\ |
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598 @item\n\ |
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599 @var{R1}'*@var{R1} = @var{R}'*@var{R} + @var{u}*@var{u}'\n\ |
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600 if @var{op} is \"+\"\n\ |
10840 | 601 \n\ |
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602 @item\n\ |
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603 @var{R1}'*@var{R1} = @var{R}'*@var{R} - @var{u}*@var{u}'\n\ |
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604 if @var{op} is \"-\"\n\ |
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605 @end itemize\n\ |
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606 \n\ |
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607 If @var{op} is \"-\", @var{info} is set to\n\ |
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608 @itemize\n\ |
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609 @item 0 if the downdate was successful,\n\ |
10840 | 610 \n\ |
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611 @item 1 if @var{R}'*@var{R} - @var{u}*@var{u}' is not positive definite,\n\ |
10840 | 612 \n\ |
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613 @item 2 if @var{R} is singular.\n\ |
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614 @end itemize\n\ |
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615 \n\ |
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616 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
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617 @seealso{chol, qrupdate}\n\ |
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618 @end deftypefn") |
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619 { |
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620 octave_idx_type nargin = args.length (); |
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621 |
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622 octave_value_list retval; |
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623 |
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624 if (nargin > 3 || nargin < 2) |
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625 { |
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626 print_usage (); |
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627 return retval; |
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628 } |
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629 |
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630 octave_value argr = args(0); |
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631 octave_value argu = args(1); |
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632 |
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633 if (argr.is_numeric_type () && argu.is_numeric_type () |
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634 && (nargin < 3 || args(2).is_string ())) |
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635 { |
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636 octave_idx_type n = argr.rows (); |
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637 |
7559
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638 std::string op = (nargin < 3) ? "+" : args(2).string_value (); |
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639 |
7559
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640 bool down = op == "-"; |
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|
641 |
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642 if (down || op == "+") |
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643 if (argr.columns () == n && argu.rows () == n && argu.columns () == 1) |
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644 { |
8547
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imported patch qrupdate.diff
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645 int err = 0; |
10154
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646 if (argr.is_single_type () || argu.is_single_type ()) |
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647 { |
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648 if (argr.is_real_type () && argu.is_real_type ()) |
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649 { |
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650 // real case |
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651 FloatMatrix R = argr.float_matrix_value (); |
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652 FloatColumnVector u = argu.float_column_vector_value (); |
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653 |
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654 FloatCHOL fact; |
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655 fact.set (R); |
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656 |
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657 if (down) |
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658 err = fact.downdate (u); |
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659 else |
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660 fact.update (u); |
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661 |
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662 retval(0) = get_chol_r (fact); |
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663 } |
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664 else |
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|
665 { |
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666 // complex case |
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667 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
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668 FloatComplexColumnVector u = argu.float_complex_column_vector_value (); |
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669 |
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670 FloatComplexCHOL fact; |
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671 fact.set (R); |
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672 |
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673 if (down) |
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674 err = fact.downdate (u); |
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675 else |
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|
676 fact.update (u); |
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677 |
10154
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678 retval(0) = get_chol_r (fact); |
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679 } |
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|
680 } |
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|
681 else |
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|
682 { |
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|
683 if (argr.is_real_type () && argu.is_real_type ()) |
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|
684 { |
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|
685 // real case |
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686 Matrix R = argr.matrix_value (); |
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|
687 ColumnVector u = argu.column_vector_value (); |
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688 |
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689 CHOL fact; |
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690 fact.set (R); |
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691 |
10154
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|
692 if (down) |
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693 err = fact.downdate (u); |
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|
694 else |
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changeset
|
695 fact.update (u); |
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Second set of single precision test code and fix of resulting bugs
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696 |
10154
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|
697 retval(0) = get_chol_r (fact); |
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698 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
699 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
700 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
701 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
702 ComplexMatrix R = argr.complex_matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
703 ComplexColumnVector u = argu.complex_column_vector_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
704 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
705 ComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
706 fact.set (R); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
707 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
708 if (down) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
709 err = fact.downdate (u); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
710 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
711 fact.update (u); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
712 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
713 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
714 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
715 } |
8547
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
716 |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
717 if (nargout > 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
718 retval(1) = err; |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
719 else if (err == 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
720 error ("cholupdate: downdate violates positiveness"); |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
721 else if (err == 2) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
722 error ("cholupdate: singular matrix"); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
723 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
724 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
725 error ("cholupdate: dimension mismatch between R and U"); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
726 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
727 error ("cholupdate: OP must be \"+\" or \"-\""); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
728 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
729 else |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
730 print_usage (); |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
731 |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
732 return retval; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
733 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
734 |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
735 /* |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
736 %!shared A, u, Ac, uc |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
737 %! A = [ 0.436997 -0.131721 0.124120 -0.061673 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
738 %! -0.131721 0.738529 0.019851 -0.140295 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
739 %! 0.124120 0.019851 0.354879 -0.059472 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
740 %! -0.061673 -0.140295 -0.059472 0.600939 ]; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
741 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
742 %! u = [ 0.98950 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
743 %! 0.39844 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
744 %! 0.63484 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
745 %! 0.13351 ]; |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
746 %! Ac = [ 0.5585528 + 0.0000000i -0.1662088 - 0.0315341i 0.0107873 + 0.0236411i -0.0276775 - 0.0186073i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
747 %! -0.1662088 + 0.0315341i 0.6760061 + 0.0000000i 0.0011452 - 0.0475528i 0.0145967 + 0.0247641i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
748 %! 0.0107873 - 0.0236411i 0.0011452 + 0.0475528i 0.6263149 - 0.0000000i -0.1585837 - 0.0719763i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
749 %! -0.0276775 + 0.0186073i 0.0145967 - 0.0247641i -0.1585837 + 0.0719763i 0.6034234 - 0.0000000i ]; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
750 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
751 %! uc = [ 0.54267 + 0.91519i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
752 %! 0.99647 + 0.43141i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
753 %! 0.83760 + 0.68977i ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
754 %! 0.39160 + 0.90378i ]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
755 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
756 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
757 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
758 %!test |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
759 %! R = chol(A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
760 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
761 %! R1 = cholupdate(R,u); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
762 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
763 %! assert(norm(triu(R1)-R1,Inf) == 0) |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
764 %! assert(norm(R1'*R1 - R'*R - u*u',Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
765 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
766 %! R1 = cholupdate(R1,u,"-"); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
767 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
768 %! assert(norm(triu(R1)-R1,Inf) == 0) |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
769 %! assert(norm(R1 - R,Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
770 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
771 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
772 %! R = chol(Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
773 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
774 %! R1 = cholupdate(R,uc); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
775 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
776 %! assert(norm(triu(R1)-R1,Inf) == 0) |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
777 %! assert(norm(R1'*R1 - R'*R - uc*uc',Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
778 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
779 %! R1 = cholupdate(R1,uc,"-"); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
780 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
781 %! assert(norm(triu(R1)-R1,Inf) == 0) |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
782 %! assert(norm(R1 - R,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
|
783 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
784 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
785 %! R = chol(single(A)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
786 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
787 %! R1 = cholupdate(R,single(u)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
788 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
789 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
790 %! assert(norm(R1'*R1 - R'*R - single(u*u'),Inf) < 1e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
791 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
792 %! R1 = cholupdate(R1,single(u),"-"); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
793 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
794 %! assert(norm(triu(R1)-R1,Inf) == 0) |
8066
366821c0c01c
Adjust tolerance to single precision test.
Ben Abbott <bpabbott@mac.com>
parents:
7924
diff
changeset
|
795 %! assert(norm(R1 - R,Inf) < 2e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
796 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
797 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
798 %! R = chol(single(Ac)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
799 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
800 %! R1 = cholupdate(R,single(uc)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
801 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
802 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
803 %! assert(norm(R1'*R1 - R'*R - single(uc*uc'),Inf) < 1e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
804 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
805 %! R1 = cholupdate(R1,single(uc),"-"); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
806 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
807 %! assert(norm(triu(R1)-R1,Inf) == 0) |
8066
366821c0c01c
Adjust tolerance to single precision test.
Ben Abbott <bpabbott@mac.com>
parents:
7924
diff
changeset
|
808 %! assert(norm(R1 - R,Inf) < 2e1*eps('single')) |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
809 */ |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
810 |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
811 DEFUN_DLD (cholinsert, args, nargout, |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
812 "-*- texinfo -*-\n\ |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
813 @deftypefn {Loadable Function} {@var{R1} =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
814 @deftypefnx {Loadable Function} {[@var{R1}, @var{info}] =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
10840 | 815 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
816 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
817 triangular, return the Cholesky@tie{}factorization of\n\ | |
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818 @var{A1}, where @w{A1(p,p) = A}, @w{A1(:,j) = A1(j,:)' = u} and\n\ |
9064
7c02ec148a3c
Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents:
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819 @w{p = [1:j-1,j+1:n+1]}. @w{u(j)} should be positive.\n\ |
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820 On return, @var{info} is set to\n\ |
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821 @itemize\n\ |
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822 @item 0 if the insertion was successful,\n\ |
10840 | 823 \n\ |
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824 @item 1 if @var{A1} is not positive definite,\n\ |
10840 | 825 \n\ |
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826 @item 2 if @var{R} is singular.\n\ |
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827 @end itemize\n\ |
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828 \n\ |
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829 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
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830 @seealso{chol, cholupdate, choldelete}\n\ |
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831 @end deftypefn") |
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832 { |
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833 octave_idx_type nargin = args.length (); |
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834 |
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835 octave_value_list retval; |
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836 |
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837 if (nargin != 3) |
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838 { |
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839 print_usage (); |
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840 return retval; |
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841 } |
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842 |
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843 octave_value argr = args(0); |
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844 octave_value argj = args(1); |
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845 octave_value argu = args(2); |
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846 |
9453
5fcf008c7c41
fix Cholesky updating with scalars
Jaroslav Hajek <highegg@gmail.com>
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|
847 if (argr.is_numeric_type () && argu.is_numeric_type () |
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848 && argj.is_real_scalar ()) |
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849 { |
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850 octave_idx_type n = argr.rows (); |
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851 octave_idx_type j = argj.scalar_value (); |
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852 |
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853 if (argr.columns () == n && argu.rows () == n+1 && argu.columns () == 1) |
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854 { |
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855 if (j > 0 && j <= n+1) |
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856 { |
8547
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|
857 int err = 0; |
10154
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|
858 if (argr.is_single_type () || argu.is_single_type ()) |
40dfc0c99116
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|
859 { |
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|
860 if (argr.is_real_type () && argu.is_real_type ()) |
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|
861 { |
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862 // real case |
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863 FloatMatrix R = argr.float_matrix_value (); |
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864 FloatColumnVector u = argu.float_column_vector_value (); |
7814
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865 |
10154
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866 FloatCHOL fact; |
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867 fact.set (R); |
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868 err = fact.insert_sym (u, j-1); |
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869 |
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870 retval(0) = get_chol_r (fact); |
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871 } |
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|
872 else |
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|
873 { |
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874 // complex case |
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875 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
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876 FloatComplexColumnVector u = argu.float_complex_column_vector_value (); |
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877 |
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878 FloatComplexCHOL fact; |
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|
879 fact.set (R); |
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880 err = fact.insert_sym (u, j-1); |
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881 |
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882 retval(0) = get_chol_r (fact); |
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|
883 } |
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|
884 } |
40dfc0c99116
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|
885 else |
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|
886 { |
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|
887 if (argr.is_real_type () && argu.is_real_type ()) |
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|
888 { |
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889 // real case |
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890 Matrix R = argr.matrix_value (); |
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891 ColumnVector u = argu.column_vector_value (); |
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|
892 |
10154
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893 CHOL fact; |
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894 fact.set (R); |
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895 err = fact.insert_sym (u, j-1); |
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896 |
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|
897 retval(0) = get_chol_r (fact); |
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898 } |
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|
899 else |
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|
900 { |
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|
901 // complex case |
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|
902 ComplexMatrix R = argr.complex_matrix_value (); |
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903 ComplexColumnVector u = argu.complex_column_vector_value (); |
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904 |
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|
905 ComplexCHOL fact; |
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|
906 fact.set (R); |
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|
907 err = fact.insert_sym (u, j-1); |
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|
908 |
10154
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|
909 retval(0) = get_chol_r (fact); |
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910 } |
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|
911 } |
8547
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|
912 |
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|
913 if (nargout > 1) |
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|
914 retval(1) = err; |
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|
915 else if (err == 1) |
d66c9b6e506a
imported patch qrupdate.diff
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8517
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changeset
|
916 error ("cholinsert: insertion violates positiveness"); |
d66c9b6e506a
imported patch qrupdate.diff
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|
917 else if (err == 2) |
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imported patch qrupdate.diff
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|
918 error ("cholinsert: singular matrix"); |
d66c9b6e506a
imported patch qrupdate.diff
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changeset
|
919 else if (err == 3) |
d66c9b6e506a
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8517
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|
920 error ("cholinsert: diagonal element must be real"); |
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921 } |
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922 else |
11553
01f703952eff
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Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
923 error ("cholinsert: index J out of range"); |
7700
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924 } |
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925 else |
11553
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Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
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diff
changeset
|
926 error ("cholinsert: dimension mismatch between R and U"); |
7700
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927 } |
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|
928 else |
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|
929 print_usage (); |
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|
930 |
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|
931 return retval; |
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932 } |
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|
933 |
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|
934 /* |
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|
935 %!test |
7814
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changeset
|
936 %! u2 = [ 0.35080 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
937 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
938 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
939 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
940 %! 0.45266 ]; |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
941 %! |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
942 %! R = chol(A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
943 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
944 %! j = 3; p = [1:j-1, j+1:5]; |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
945 %! R1 = cholinsert(R,j,u2); A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
946 %! |
7700
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more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
947 %! assert(norm(triu(R1)-R1,Inf) == 0) |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
948 %! assert(norm(A1(p,p) - A,Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
949 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
950 %!test |
7814
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
|
951 %! 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
|
952 %! 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
|
953 %! 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
|
954 %! -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
|
955 %! 0.45266 + 0.50020i]; |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
956 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
957 %! R = chol(Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
958 %! |
7700
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more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
959 %! j = 3; p = [1:j-1, j+1:5]; |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
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|
960 %! R1 = cholinsert(R,j,u2); A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
961 %! |
7700
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more QR & Cholesky updating functions
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parents:
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diff
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|
962 %! assert(norm(triu(R1)-R1,Inf) == 0) |
7814
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
|
963 %! assert(norm(A1(p,p) - Ac,Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
964 %! |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
965 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
966 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
967 %! u2 = single ([ 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
|
968 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
969 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
970 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
971 %! 0.45266 ]); |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
972 %! |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
973 %! R = chol(single(A)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
974 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
975 %! j = 3; p = [1:j-1, j+1:5]; |
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
|
976 %! R1 = cholinsert(R,j,u2); A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
977 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
978 %! assert(norm(triu(R1)-R1,Inf) == 0) |
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
|
979 %! assert(norm(A1(p,p) - A,Inf) < 1e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
980 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
981 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
982 %! 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
|
983 %! 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
|
984 %! 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
|
985 %! -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
|
986 %! 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
|
987 %! |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
988 %! R = chol(single(Ac)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
989 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
990 %! j = 3; p = [1:j-1, j+1:5]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
991 %! R1 = cholinsert(R,j,u2); A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
992 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
993 %! assert(norm(triu(R1)-R1,Inf) == 0) |
10410
b3ec24dc305a
chol.cc: Increase tolerance for single precision test.
Ben Abbott <bpabbott@mac.com>
parents:
10155
diff
changeset
|
994 %! assert(norm(A1(p,p) - single(Ac),Inf) < 2e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
995 %! |
7700
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parents:
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changeset
|
996 */ |
efccca5f2ad7
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parents:
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changeset
|
997 |
7924 | 998 DEFUN_DLD (choldelete, args, , |
7700
efccca5f2ad7
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parents:
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|
999 "-*- texinfo -*-\n\ |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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|
1000 @deftypefn {Loadable Function} {@var{R1} =} choldelete (@var{R}, @var{j})\n\ |
10840 | 1001 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
1002 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
10846
a4f482e66b65
Grammarcheck more of the documentation.
Rik <octave@nomad.inbox5.com>
parents:
10840
diff
changeset
|
1003 triangular, return the Cholesky@tie{}factorization of @w{A(p,p)}, where\n\ |
a4f482e66b65
Grammarcheck more of the documentation.
Rik <octave@nomad.inbox5.com>
parents:
10840
diff
changeset
|
1004 @w{p = [1:j-1,j+1:n+1]}.\n\ |
7700
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|
1005 @seealso{chol, cholupdate, cholinsert}\n\ |
efccca5f2ad7
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1006 @end deftypefn") |
efccca5f2ad7
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parents:
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|
1007 { |
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changeset
|
1008 octave_idx_type nargin = args.length (); |
efccca5f2ad7
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|
1009 |
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|
1010 octave_value_list retval; |
efccca5f2ad7
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|
1011 |
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|
1012 if (nargin != 2) |
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parents:
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|
1013 { |
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diff
changeset
|
1014 print_usage (); |
efccca5f2ad7
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|
1015 return retval; |
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|
1016 } |
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|
1017 |
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|
1018 octave_value argr = args(0); |
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changeset
|
1019 octave_value argj = args(1); |
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changeset
|
1020 |
9453
5fcf008c7c41
fix Cholesky updating with scalars
Jaroslav Hajek <highegg@gmail.com>
parents:
9065
diff
changeset
|
1021 if (argr.is_numeric_type () && argj.is_real_scalar ()) |
7700
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|
1022 { |
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changeset
|
1023 octave_idx_type n = argr.rows (); |
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changeset
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1024 octave_idx_type j = argj.scalar_value (); |
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changeset
|
1025 |
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changeset
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1026 if (argr.columns () == n) |
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changeset
|
1027 { |
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changeset
|
1028 if (j > 0 && j <= n) |
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|
1029 { |
10154
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parents:
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changeset
|
1030 if (argr.is_single_type ()) |
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|
1031 { |
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parents:
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changeset
|
1032 if (argr.is_real_type ()) |
40dfc0c99116
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|
1033 { |
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changeset
|
1034 // real case |
40dfc0c99116
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changeset
|
1035 FloatMatrix R = argr.float_matrix_value (); |
7814
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|
1036 |
10154
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changeset
|
1037 FloatCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
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parents:
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changeset
|
1038 fact.set (R); |
40dfc0c99116
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parents:
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changeset
|
1039 fact.delete_sym (j-1); |
7700
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|
1040 |
10154
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changeset
|
1041 retval(0) = get_chol_r (fact); |
40dfc0c99116
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changeset
|
1042 } |
40dfc0c99116
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changeset
|
1043 else |
40dfc0c99116
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changeset
|
1044 { |
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changeset
|
1045 // complex case |
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changeset
|
1046 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
7814
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|
1047 |
10154
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changeset
|
1048 FloatComplexCHOL fact; |
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changeset
|
1049 fact.set (R); |
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changeset
|
1050 fact.delete_sym (j-1); |
7700
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1051 |
10154
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changeset
|
1052 retval(0) = get_chol_r (fact); |
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changeset
|
1053 } |
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|
1054 } |
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parents:
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|
1055 else |
40dfc0c99116
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|
1056 { |
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|
1057 if (argr.is_real_type ()) |
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|
1058 { |
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|
1059 // real case |
40dfc0c99116
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|
1060 Matrix R = argr.matrix_value (); |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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diff
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|
1061 |
10154
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John W. Eaton <jwe@octave.org>
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|
1062 CHOL fact; |
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diff
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|
1063 fact.set (R); |
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|
1064 fact.delete_sym (j-1); |
7700
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1065 |
10154
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|
1066 retval(0) = get_chol_r (fact); |
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|
1067 } |
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|
1068 else |
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|
1069 { |
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|
1070 // complex case |
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|
1071 ComplexMatrix R = argr.complex_matrix_value (); |
7700
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1072 |
10154
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|
1073 ComplexCHOL fact; |
40dfc0c99116
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|
1074 fact.set (R); |
40dfc0c99116
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|
1075 fact.delete_sym (j-1); |
7814
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Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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1076 |
10154
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|
1077 retval(0) = get_chol_r (fact); |
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|
1078 } |
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|
1079 } |
7700
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1080 } |
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1081 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
1082 error ("choldelete: index J out of range"); |
7700
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1083 } |
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1084 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
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|
1085 error ("choldelete: matrix R must be square"); |
7700
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1086 } |
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1087 else |
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1088 print_usage (); |
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1089 |
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1090 return retval; |
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1091 } |
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1092 |
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1093 /* |
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1094 %!test |
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1095 %! R = chol(A); |
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|
1096 %! |
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1097 %! j = 3; p = [1:j-1,j+1:4]; |
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1098 %! R1 = choldelete(R,j); |
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|
1099 %! |
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1100 %! assert(norm(triu(R1)-R1,Inf) == 0) |
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1101 %! assert(norm(R1'*R1 - A(p,p),Inf) < 1e1*eps) |
11586
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strip trailing whitespace from source files
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|
1102 %! |
7700
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1103 %!test |
7814
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|
1104 %! R = chol(Ac); |
11586
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|
1105 %! |
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1106 %! j = 3; p = [1:j-1,j+1:4]; |
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1107 %! R1 = choldelete(R,j); |
11586
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diff
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|
1108 %! |
7700
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1109 %! assert(norm(triu(R1)-R1,Inf) == 0) |
7814
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|
1110 %! assert(norm(R1'*R1 - Ac(p,p),Inf) < 1e1*eps) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
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|
1111 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
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diff
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|
1112 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
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|
1113 %! R = chol(single(A)); |
11586
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11553
diff
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|
1114 %! |
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
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|
1115 %! j = 3; p = [1:j-1,j+1:4]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
1116 %! R1 = choldelete(R,j); |
11586
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11553
diff
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|
1117 %! |
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
|
1118 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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|
1119 %! assert(norm(R1'*R1 - single(A(p,p)),Inf) < 1e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1120 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1121 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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diff
changeset
|
1122 %! R = chol(single(Ac)); |
11586
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
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|
1123 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1124 %! j = 3; p = [1:j-1,j+1:4]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
1125 %! R1 = choldelete(R,j); |
11586
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strip trailing whitespace from source files
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11553
diff
changeset
|
1126 %! |
7814
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
|
1127 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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|
1128 %! assert(norm(R1'*R1 - single(Ac(p,p)),Inf) < 1e1*eps('single')) |
7700
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|
1129 */ |
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1130 |
7924 | 1131 DEFUN_DLD (cholshift, args, , |
7700
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|
1132 "-*- texinfo -*-\n\ |
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|
1133 @deftypefn {Loadable Function} {@var{R1} =} cholshift (@var{R}, @var{i}, @var{j})\n\ |
10840 | 1134 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
1135 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
1136 triangular, return the Cholesky@tie{}factorization of\n\ | |
7700
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|
1137 @w{@var{A}(p,p)}, where @w{p} is the permutation @*\n\ |
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1138 @code{p = [1:i-1, shift(i:j, 1), j+1:n]} if @w{@var{i} < @var{j}} @*\n\ |
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diff
changeset
|
1139 or @*\n\ |
9064
7c02ec148a3c
Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents:
8880
diff
changeset
|
1140 @code{p = [1:j-1, shift(j:i,-1), i+1:n]} if @w{@var{j} < @var{i}}. @*\n\ |
7700
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|
1141 \n\ |
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|
1142 @seealso{chol, cholinsert, choldelete}\n\ |
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|
1143 @end deftypefn") |
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|
1144 { |
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|
1145 octave_idx_type nargin = args.length (); |
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|
1146 |
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1147 octave_value_list retval; |
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1148 |
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1149 if (nargin != 3) |
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|
1150 { |
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|
1151 print_usage (); |
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|
1152 return retval; |
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|
1153 } |
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|
1154 |
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1155 octave_value argr = args(0); |
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1156 octave_value argi = args(1); |
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1157 octave_value argj = args(2); |
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1158 |
9453
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fix Cholesky updating with scalars
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|
1159 if (argr.is_numeric_type () && argi.is_real_scalar () && argj.is_real_scalar ()) |
7700
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1160 { |
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1161 octave_idx_type n = argr.rows (); |
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1162 octave_idx_type i = argi.scalar_value (); |
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1163 octave_idx_type j = argj.scalar_value (); |
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1164 |
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1165 if (argr.columns () == n) |
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1166 { |
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1167 if (j > 0 && j <= n+1 && i > 0 && i <= n+1) |
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1168 { |
7814
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|
1169 |
11586
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changeset
|
1170 if (argr.is_single_type () && argi.is_single_type () && |
10154
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|
1171 argj.is_single_type ()) |
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changeset
|
1172 { |
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changeset
|
1173 if (argr.is_real_type ()) |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1174 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1175 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1176 FloatMatrix R = argr.float_matrix_value (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
1177 |
10154
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1178 FloatCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1179 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1180 fact.shift_sym (i-1, j-1); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1181 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1182 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1183 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1184 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1185 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1186 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1187 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1188 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1189 FloatComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1190 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1191 fact.shift_sym (i-1, j-1); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
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|
1192 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1193 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1194 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1195 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1196 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1197 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1198 if (argr.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1199 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1200 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1201 Matrix R = argr.matrix_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1202 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1203 CHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1204 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1205 fact.shift_sym (i-1, j-1); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1206 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1207 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1208 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1209 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1210 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1211 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1212 ComplexMatrix R = argr.complex_matrix_value (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1213 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1214 ComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1215 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1216 fact.shift_sym (i-1, j-1); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1217 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1218 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1219 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
1220 } |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1221 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1222 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
1223 error ("cholshift: index I or J is out of range"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1224 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1225 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
1226 error ("cholshift: R must be a square matrix"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1227 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1228 else |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1229 print_usage (); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1230 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1231 return retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1232 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1233 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1234 /* |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1235 %!test |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1236 %! R = chol(A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1237 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1238 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1239 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1240 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1241 %! assert(norm(triu(R1)-R1,Inf) == 0) |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1242 %! assert(norm(R1'*R1 - A(p,p),Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1243 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1244 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1245 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1246 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1247 %! assert(norm(triu(R1)-R1,Inf) == 0) |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1248 %! assert(norm(R1'*R1 - A(p,p),Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1249 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1250 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1251 %! R = chol(Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1252 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1253 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1254 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1255 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1256 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1257 %! assert(norm(R1'*R1 - Ac(p,p),Inf) < 1e1*eps) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1258 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1259 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1260 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1261 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1262 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1263 %! assert(norm(R1'*R1 - Ac(p,p),Inf) < 1e1*eps) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1264 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1265 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1266 %! R = chol(single(A)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1267 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1268 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1269 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1270 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1271 %! assert(norm(triu(R1)-R1,Inf) == 0) |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1272 %! assert(norm(R1'*R1 - single(A(p,p)),Inf) < 1e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1273 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1274 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1275 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1276 %! |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1277 %! assert(norm(triu(R1)-R1,Inf) == 0) |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1278 %! assert(norm(R1'*R1 - single(A(p,p)),Inf) < 1e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1279 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1280 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1281 %! R = chol(single(Ac)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1282 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1283 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1284 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1285 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1286 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1287 %! assert(norm(R1'*R1 - single(Ac(p,p)),Inf) < 1e1*eps('single')) |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1288 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1289 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1290 %! R1 = cholshift(R,i,j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1291 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1292 %! assert(norm(triu(R1)-R1,Inf) == 0) |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1293 %! assert(norm(R1'*R1 - single(Ac(p,p)),Inf) < 1e1*eps('single')) |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
1294 */ |