Mercurial > octave-nkf
annotate libinterp/dldfcn/chol.cc @ 20614:10ec79b47808
use new string_value method to handle value extraction errors
* __voronoi__.cc, chol.cc, colamd.cc, fftw.cc:
Use new string_value method.
author | John W. Eaton <jwe@octave.org> |
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date | Thu, 08 Oct 2015 18:15:56 -0400 |
parents | 0650b8431037 |
children |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
11523 | 4 Copyright (C) 2008-2009 Jaroslav Hajek |
5 Copyright (C) 2008-2009 VZLU Prague | |
2928 | 6 |
7 This file is part of Octave. | |
8 | |
9 Octave is free software; you can redistribute it and/or modify it | |
10 under the terms of the GNU General Public License as published by the | |
7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
12 option) any later version. | |
2928 | 13 |
14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
17 for more details. | |
18 | |
19 You should have received a copy of the GNU General Public License | |
7016 | 20 along with Octave; see the file COPYING. If not, see |
21 <http://www.gnu.org/licenses/>. | |
2928 | 22 |
23 */ | |
24 | |
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25 |
2928 | 26 #ifdef HAVE_CONFIG_H |
27 #include <config.h> | |
28 #endif | |
29 | |
30 #include "CmplxCHOL.h" | |
31 #include "dbleCHOL.h" | |
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32 #include "fCmplxCHOL.h" |
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33 #include "floatCHOL.h" |
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34 #include "SparseCmplxCHOL.h" |
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35 #include "SparsedbleCHOL.h" |
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36 #include "oct-spparms.h" |
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37 #include "sparse-util.h" |
2928 | 38 |
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39 #include "ov-re-sparse.h" |
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40 #include "ov-cx-sparse.h" |
2928 | 41 #include "defun-dld.h" |
42 #include "error.h" | |
43 #include "gripes.h" | |
44 #include "oct-obj.h" | |
45 #include "utils.h" | |
46 | |
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47 template <class CHOLT> |
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48 static octave_value |
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49 get_chol (const CHOLT& fact) |
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50 { |
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51 return octave_value (fact.chol_matrix()); |
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52 } |
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53 |
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54 template <class CHOLT> |
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55 static octave_value |
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56 get_chol_r (const CHOLT& fact) |
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57 { |
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58 return octave_value (fact.chol_matrix (), |
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59 MatrixType (MatrixType::Upper)); |
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60 } |
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61 |
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62 template <class CHOLT> |
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63 static octave_value |
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64 get_chol_l (const CHOLT& fact) |
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65 { |
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66 return octave_value (fact.chol_matrix ().transpose (), |
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67 MatrixType (MatrixType::Lower)); |
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68 } |
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69 |
2928 | 70 DEFUN_DLD (chol, args, nargout, |
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71 "-*- texinfo -*-\n\ |
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72 @deftypefn {Loadable Function} {@var{R} =} chol (@var{A})\n\ |
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73 @deftypefnx {Loadable Function} {[@var{R}, @var{p}] =} chol (@var{A})\n\ |
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74 @deftypefnx {Loadable Function} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S})\n\ |
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75 @deftypefnx {Loadable Function} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{S}, \"vector\")\n\ |
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76 @deftypefnx {Loadable Function} {[@var{L}, @dots{}] =} chol (@dots{}, \"lower\")\n\ |
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77 @deftypefnx {Loadable Function} {[@var{L}, @dots{}] =} chol (@dots{}, \"upper\")\n\ |
3372 | 78 @cindex Cholesky factorization\n\ |
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79 Compute the Cholesky@tie{}factor, @var{R}, of the symmetric positive definite\n\ |
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80 matrix @var{A}.\n\ |
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81 \n\ |
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82 The Cholesky@tie{}factor is defined by\n\ |
3372 | 83 @tex\n\ |
84 $ R^T R = A $.\n\ | |
85 @end tex\n\ | |
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86 @ifnottex\n\ |
3372 | 87 \n\ |
88 @example\n\ | |
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89 @var{R}' * @var{R} = @var{A}.\n\ |
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90 @end example\n\ |
10840 | 91 \n\ |
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92 @end ifnottex\n\ |
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93 \n\ |
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94 Called with one output argument @code{chol} fails if @var{A} or @var{S} is\n\ |
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95 not positive definite. With two or more output arguments @var{p} flags\n\ |
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96 whether the matrix was positive definite and @code{chol} does not fail. A\n\ |
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97 zero value indicated that the matrix was positive definite and the @var{R}\n\ |
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98 gives the factorization, and @var{p} will have a positive value otherwise.\n\ |
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99 \n\ |
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100 If called with 3 outputs then a sparsity preserving row/column permutation\n\ |
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101 is applied to @var{A} prior to the factorization. That is @var{R} is the\n\ |
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102 factorization of @code{@var{A}(@var{Q},@var{Q})} such that\n\ |
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103 @tex\n\ |
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104 $ R^T R = Q^T A Q$.\n\ |
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105 @end tex\n\ |
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106 @ifnottex\n\ |
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107 \n\ |
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108 @example\n\ |
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109 @var{R}' * @var{R} = @var{Q}' * @var{A} * @var{Q}.\n\ |
3372 | 110 @end example\n\ |
10840 | 111 \n\ |
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112 @end ifnottex\n\ |
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113 \n\ |
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114 The sparsity preserving permutation is generally returned as a matrix.\n\ |
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115 However, given the flag @qcode{\"vector\"}, @var{Q} will be returned as a\n\ |
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116 vector such that\n\ |
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117 @tex\n\ |
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118 $ R^T R = A (Q, Q)$.\n\ |
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119 @end tex\n\ |
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120 @ifnottex\n\ |
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121 \n\ |
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122 @example\n\ |
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123 @var{R}' * @var{R} = @var{A}(@var{Q}, @var{Q}).\n\ |
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124 @end example\n\ |
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126 @end ifnottex\n\ |
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127 \n\ |
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128 Called with either a sparse or full matrix and using the @qcode{\"lower\"}\n\ |
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129 flag, @code{chol} returns the lower triangular factorization such that\n\ |
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130 @tex\n\ |
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131 $ L L^T = A $.\n\ |
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132 @end tex\n\ |
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133 @ifnottex\n\ |
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134 \n\ |
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135 @example\n\ |
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136 @var{L} * @var{L}' = @var{A}.\n\ |
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137 @end example\n\ |
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139 @end ifnottex\n\ |
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140 \n\ |
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141 For full matrices, if the @qcode{\"lower\"} flag is set only the lower\n\ |
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142 triangular part of the matrix is used for the factorization, otherwise the\n\ |
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143 upper triangular part is used.\n\ |
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144 \n\ |
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145 In general the lower triangular factorization is significantly faster for\n\ |
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146 sparse matrices.\n\ |
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147 @seealso{hess, lu, qr, qz, schur, svd, ichol, cholinv, chol2inv, cholupdate, cholinsert, choldelete, cholshift}\n\ |
3372 | 148 @end deftypefn") |
2928 | 149 { |
150 octave_value_list retval; | |
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151 int nargin = args.length (); |
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152 bool LLt = false; |
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153 bool vecout = false; |
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155 if (nargin < 1 || nargin > 3 || nargout > 3 |
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156 || (! args(0).is_sparse_type () && nargout > 2)) |
2928 | 157 { |
5823 | 158 print_usage (); |
2928 | 159 return retval; |
160 } | |
161 | |
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162 int n = 1; |
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163 while (n < nargin) |
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164 { |
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165 std::string tmp = args(n++).string_value ("chol: expecting trailing string arguments"); |
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166 |
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167 if (tmp.compare ("vector") == 0) |
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168 vecout = true; |
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169 else if (tmp.compare ("lower") == 0) |
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170 LLt = true; |
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171 else if (tmp.compare ("upper") == 0) |
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172 LLt = false; |
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173 else |
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174 error ("chol: unexpected second or third input"); |
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175 } |
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177 octave_value arg = args(0); |
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178 |
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179 octave_idx_type nr = arg.rows (); |
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180 octave_idx_type nc = arg.columns (); |
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181 |
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182 int arg_is_empty = empty_arg ("chol", nr, nc); |
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183 |
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184 if (arg_is_empty < 0) |
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185 return retval; |
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186 if (arg_is_empty > 0) |
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187 return octave_value (Matrix ()); |
2928 | 188 |
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189 if (arg.is_sparse_type ()) |
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190 { |
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191 octave_idx_type info; |
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192 bool natural = (nargout != 3); |
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193 bool force = nargout > 1; |
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194 |
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195 if (arg.is_real_type ()) |
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196 { |
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197 SparseMatrix m = arg.sparse_matrix_value (); |
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198 |
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199 SparseCHOL fact (m, info, natural, force); |
2928 | 200 |
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201 if (nargout == 3) |
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202 { |
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203 if (vecout) |
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204 retval(2) = fact.perm (); |
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205 else |
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206 retval(2) = fact.Q (); |
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207 } |
2928 | 208 |
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209 if (nargout > 1 || info == 0) |
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210 { |
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211 retval(1) = info; |
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212 if (LLt) |
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213 retval(0) = fact.L (); |
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214 else |
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215 retval(0) = fact.R (); |
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216 } |
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217 else |
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218 error ("chol: input matrix must be positive definite"); |
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219 } |
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220 else if (arg.is_complex_type ()) |
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221 { |
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222 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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223 |
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224 SparseComplexCHOL fact (m, info, natural, force); |
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225 |
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226 if (nargout == 3) |
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227 { |
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228 if (vecout) |
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229 retval(2) = fact.perm (); |
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230 else |
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231 retval(2) = fact.Q (); |
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232 } |
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233 |
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234 if (nargout > 1 || info == 0) |
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235 { |
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236 retval(1) = info; |
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237 if (LLt) |
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238 retval(0) = fact.L (); |
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239 else |
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240 retval(0) = fact.R (); |
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241 } |
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242 else |
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243 error ("chol: input matrix must be positive definite"); |
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244 } |
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245 else |
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246 gripe_wrong_type_arg ("chol", arg); |
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247 } |
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248 else if (arg.is_single_type ()) |
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249 { |
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250 if (arg.is_real_type ()) |
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251 { |
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252 FloatMatrix m = arg.float_matrix_value (); |
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253 |
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254 octave_idx_type info; |
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255 |
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256 FloatCHOL fact; |
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257 fact = FloatCHOL (m, info, LLt != true); |
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258 |
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259 if (nargout == 2 || info == 0) |
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260 { |
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261 retval(1) = info; |
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262 retval(0) = get_chol (fact); |
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263 } |
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264 else |
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265 error ("chol: input matrix must be positive definite"); |
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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 octave_idx_type info; |
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272 |
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273 FloatComplexCHOL fact; |
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274 if (LLt) |
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275 fact = FloatComplexCHOL (m.transpose (), info); |
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276 else |
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277 fact = FloatComplexCHOL (m, info); |
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278 |
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279 if (nargout == 2 || info == 0) |
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280 { |
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281 retval(1) = info; |
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282 if (LLt) |
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283 retval(0) = get_chol_l (fact); |
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284 else |
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285 retval(0) = get_chol_r (fact); |
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286 } |
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287 else |
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288 error ("chol: input matrix must be positive definite"); |
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289 } |
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290 else |
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291 gripe_wrong_type_arg ("chol", arg); |
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292 } |
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293 else |
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294 { |
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295 if (arg.is_real_type ()) |
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296 { |
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297 Matrix m = arg.matrix_value (); |
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298 |
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299 octave_idx_type info; |
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300 |
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301 CHOL fact; |
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302 fact = CHOL (m, info, LLt != true); |
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303 |
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304 if (nargout == 2 || info == 0) |
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305 { |
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306 retval(1) = info; |
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307 retval(0) = get_chol (fact); |
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308 } |
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309 else |
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310 error ("chol: input matrix must be positive definite"); |
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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 octave_idx_type info; |
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317 |
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318 ComplexCHOL fact; |
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319 fact = ComplexCHOL (m, info, LLt != true); |
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320 |
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321 if (nargout == 2 || info == 0) |
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322 { |
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323 retval(1) = info; |
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324 retval(0) = get_chol (fact); |
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325 } |
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326 else |
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327 error ("chol: input matrix must be positive definite"); |
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328 } |
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329 else |
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330 gripe_wrong_type_arg ("chol", arg); |
2928 | 331 } |
332 | |
333 return retval; | |
334 } | |
335 | |
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336 /* |
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337 %!assert (chol ([2, 1; 1, 1]), [sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)], sqrt (eps)) |
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338 %!assert (chol (single ([2, 1; 1, 1])), single ([sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)]), sqrt (eps ("single"))) |
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339 %!testif HAVE_CHOLMOD |
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340 %! ## Bug #42587 |
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341 %! A = sparse ([1 0 8;0 1 8;8 8 1]); |
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342 %! [Q, p] = chol (A); |
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343 %! assert (p != 0); |
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344 |
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345 %!error chol () |
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346 %!error <matrix must be positive definite> chol ([1, 2; 3, 4]) |
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347 %!error <requires square matrix> chol ([1, 2; 3, 4; 5, 6]) |
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348 %!error <expecting trailing string arguments> chol (1, 2) |
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349 %!error <unexpected second or third input> chol (1, "foobar") |
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350 */ |
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351 |
5760 | 352 DEFUN_DLD (cholinv, args, , |
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353 "-*- texinfo -*-\n\ |
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354 @deftypefn {Loadable Function} {} cholinv (@var{A})\n\ |
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355 Compute the inverse of the symmetric positive definite matrix @var{A} using\n\ |
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356 the Cholesky@tie{}factorization.\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 octave_idx_type info; |
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378 |
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379 if (arg.is_real_type ()) |
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380 { |
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381 SparseMatrix m = arg.sparse_matrix_value (); |
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382 |
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383 SparseCHOL chol (m, info); |
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384 |
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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 else if (arg.is_complex_type ()) |
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391 { |
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392 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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393 |
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394 SparseComplexCHOL chol (m, info); |
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395 |
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396 if (info == 0) |
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397 retval = chol.inverse (); |
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398 else |
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399 error ("cholinv: A must be positive definite"); |
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400 } |
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401 else |
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402 gripe_wrong_type_arg ("cholinv", arg); |
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403 } |
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404 else if (arg.is_single_type ()) |
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405 { |
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406 if (arg.is_real_type ()) |
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407 { |
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408 FloatMatrix m = arg.float_matrix_value (); |
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409 |
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410 octave_idx_type info; |
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411 FloatCHOL chol (m, info); |
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412 if (info == 0) |
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413 retval = chol.inverse (); |
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414 else |
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415 error ("cholinv: A must be positive definite"); |
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416 } |
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417 else if (arg.is_complex_type ()) |
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418 { |
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419 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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420 |
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421 octave_idx_type info; |
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422 FloatComplexCHOL chol (m, info); |
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423 if (info == 0) |
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424 retval = chol.inverse (); |
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425 else |
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426 error ("cholinv: A must be positive definite"); |
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427 } |
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428 else |
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429 gripe_wrong_type_arg ("chol", arg); |
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430 } |
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431 else |
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432 { |
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433 if (arg.is_real_type ()) |
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434 { |
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435 Matrix m = arg.matrix_value (); |
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436 |
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437 octave_idx_type info; |
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438 CHOL chol (m, info); |
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439 if (info == 0) |
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440 retval = chol.inverse (); |
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441 else |
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442 error ("cholinv: A must be positive definite"); |
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443 } |
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444 else if (arg.is_complex_type ()) |
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445 { |
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446 ComplexMatrix m = arg.complex_matrix_value (); |
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447 |
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448 octave_idx_type info; |
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449 ComplexCHOL chol (m, info); |
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450 if (info == 0) |
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451 retval = chol.inverse (); |
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452 else |
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453 error ("cholinv: A must be positive definite"); |
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454 } |
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455 else |
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456 gripe_wrong_type_arg ("chol", arg); |
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457 } |
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458 } |
5340 | 459 } |
460 else | |
5823 | 461 print_usage (); |
5340 | 462 |
463 return retval; | |
464 } | |
465 | |
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466 /* |
8871 | 467 %!shared A, Ainv |
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468 %! A = [2,0.2;0.2,1]; |
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469 %! Ainv = inv (A); |
8871 | 470 %!test |
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471 %! Ainv1 = cholinv (A); |
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472 %! assert (norm (Ainv-Ainv1), 0, 1e-10); |
8871 | 473 %!testif HAVE_CHOLMOD |
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474 %! Ainv2 = inv (sparse (A)); |
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475 %! assert (norm (Ainv-Ainv2), 0, 1e-10); |
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476 %!testif HAVE_CHOLMOD |
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477 %! Ainv3 = cholinv (sparse (A)); |
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|
478 %! assert (norm (Ainv-Ainv3), 0, 1e-10); |
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|
479 */ |
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|
480 |
5760 | 481 DEFUN_DLD (chol2inv, args, , |
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|
482 "-*- texinfo -*-\n\ |
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483 @deftypefn {Loadable Function} {} chol2inv (@var{U})\n\ |
5340 | 484 Invert a symmetric, positive definite square matrix from its Cholesky\n\ |
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|
485 decomposition, @var{U}.\n\ |
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|
486 \n\ |
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diff
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|
487 Note that @var{U} should be an upper-triangular matrix with positive\n\ |
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diff
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|
488 diagonal elements. @code{chol2inv (@var{U})} provides\n\ |
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|
489 @code{inv (@var{U}'*@var{U})} but it is much faster than using @code{inv}.\n\ |
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|
490 @seealso{chol, cholinv, inv}\n\ |
5340 | 491 @end deftypefn") |
492 { | |
493 octave_value retval; | |
494 | |
495 int nargin = args.length (); | |
496 | |
497 if (nargin == 1) | |
498 { | |
499 octave_value arg = args(0); | |
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|
500 |
5340 | 501 octave_idx_type nr = arg.rows (); |
502 octave_idx_type nc = arg.columns (); | |
503 | |
504 if (nr == 0 || nc == 0) | |
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505 retval = Matrix (); |
5340 | 506 else |
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507 { |
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508 if (arg.is_sparse_type ()) |
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509 { |
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510 if (arg.is_real_type ()) |
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511 { |
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512 SparseMatrix r = arg.sparse_matrix_value (); |
5340 | 513 |
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514 retval = chol2inv (r); |
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515 } |
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516 else if (arg.is_complex_type ()) |
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517 { |
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518 SparseComplexMatrix r = arg.sparse_complex_matrix_value (); |
5340 | 519 |
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520 retval = chol2inv (r); |
10154
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521 } |
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522 else |
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523 gripe_wrong_type_arg ("chol2inv", arg); |
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524 } |
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525 else if (arg.is_single_type ()) |
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526 { |
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527 if (arg.is_real_type ()) |
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|
528 { |
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|
529 FloatMatrix r = arg.float_matrix_value (); |
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|
530 |
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diff
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|
531 retval = chol2inv (r); |
10154
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|
532 } |
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533 else if (arg.is_complex_type ()) |
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|
534 { |
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|
535 FloatComplexMatrix r = arg.float_complex_matrix_value (); |
7814
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Second set of single precision test code and fix of resulting bugs
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diff
changeset
|
536 |
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|
537 retval = chol2inv (r); |
10154
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|
538 } |
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|
539 else |
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changeset
|
540 gripe_wrong_type_arg ("chol2inv", arg); |
7814
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David Bateman <dbateman@free.fr>
parents:
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diff
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|
541 |
10154
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|
542 } |
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|
543 else |
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|
544 { |
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changeset
|
545 if (arg.is_real_type ()) |
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|
546 { |
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changeset
|
547 Matrix r = arg.matrix_value (); |
7515
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Eliminate the rest of the dispatched sparse functions
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diff
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|
548 |
20591
0650b8431037
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changeset
|
549 retval = chol2inv (r); |
10154
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|
550 } |
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|
551 else if (arg.is_complex_type ()) |
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|
552 { |
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changeset
|
553 ComplexMatrix r = arg.complex_matrix_value (); |
7515
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changeset
|
554 |
20591
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changeset
|
555 retval = chol2inv (r); |
10154
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|
556 } |
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|
557 else |
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|
558 gripe_wrong_type_arg ("chol2inv", arg); |
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|
559 } |
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|
560 } |
5340 | 561 } |
562 else | |
5823 | 563 print_usage (); |
5340 | 564 |
565 return retval; | |
566 } | |
567 | |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
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|
568 DEFUN_DLD (cholupdate, args, nargout, |
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569 "-*- texinfo -*-\n\ |
7650 | 570 @deftypefn {Loadable Function} {[@var{R1}, @var{info}] =} cholupdate (@var{R}, @var{u}, @var{op})\n\ |
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571 Update or downdate a Cholesky@tie{}factorization.\n\ |
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572 \n\ |
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573 Given an upper triangular matrix @var{R} and a column vector @var{u},\n\ |
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574 attempt to determine another upper triangular matrix @var{R1} such that\n\ |
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575 \n\ |
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576 @itemize @bullet\n\ |
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577 @item\n\ |
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578 @var{R1}'*@var{R1} = @var{R}'*@var{R} + @var{u}*@var{u}'\n\ |
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579 if @var{op} is @qcode{\"+\"}\n\ |
10840 | 580 \n\ |
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581 @item\n\ |
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582 @var{R1}'*@var{R1} = @var{R}'*@var{R} - @var{u}*@var{u}'\n\ |
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583 if @var{op} is @qcode{\"-\"}\n\ |
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584 @end itemize\n\ |
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585 \n\ |
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586 If @var{op} is @qcode{\"-\"}, @var{info} is set to\n\ |
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587 \n\ |
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588 @itemize\n\ |
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589 @item 0 if the downdate was successful,\n\ |
10840 | 590 \n\ |
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591 @item 1 if @var{R}'*@var{R} - @var{u}*@var{u}' is not positive definite,\n\ |
10840 | 592 \n\ |
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593 @item 2 if @var{R} is singular.\n\ |
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594 @end itemize\n\ |
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595 \n\ |
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596 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
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597 @seealso{chol, cholinsert, choldelete, cholshift}\n\ |
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598 @end deftypefn") |
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599 { |
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600 octave_idx_type nargin = args.length (); |
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601 |
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602 octave_value_list retval; |
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603 |
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604 if (nargin > 3 || nargin < 2) |
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605 { |
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606 print_usage (); |
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607 return retval; |
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608 } |
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609 |
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610 octave_value argr = args(0); |
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611 octave_value argu = args(1); |
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612 |
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613 if (argr.is_numeric_type () && argu.is_numeric_type () |
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614 && (nargin < 3 || args(2).is_string ())) |
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615 { |
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616 octave_idx_type n = argr.rows (); |
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617 |
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618 std::string op = (nargin < 3) ? "+" : args(2).string_value (); |
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619 |
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620 bool down = op == "-"; |
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621 |
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622 if (down || op == "+") |
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623 if (argr.columns () == n && argu.rows () == n && argu.columns () == 1) |
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624 { |
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625 int err = 0; |
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626 if (argr.is_single_type () || argu.is_single_type ()) |
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627 { |
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628 if (argr.is_real_type () && argu.is_real_type ()) |
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629 { |
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630 // real case |
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631 FloatMatrix R = argr.float_matrix_value (); |
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632 FloatColumnVector u = argu.float_column_vector_value (); |
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633 |
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634 FloatCHOL fact; |
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635 fact.set (R); |
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636 |
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637 if (down) |
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638 err = fact.downdate (u); |
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639 else |
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640 fact.update (u); |
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641 |
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642 retval(0) = get_chol_r (fact); |
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643 } |
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644 else |
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645 { |
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646 // complex case |
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647 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
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648 FloatComplexColumnVector u = |
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649 argu.float_complex_column_vector_value (); |
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650 |
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651 FloatComplexCHOL fact; |
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652 fact.set (R); |
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653 |
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654 if (down) |
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655 err = fact.downdate (u); |
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656 else |
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657 fact.update (u); |
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658 |
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659 retval(0) = get_chol_r (fact); |
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660 } |
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661 } |
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662 else |
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663 { |
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664 if (argr.is_real_type () && argu.is_real_type ()) |
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665 { |
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666 // real case |
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667 Matrix R = argr.matrix_value (); |
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668 ColumnVector u = argu.column_vector_value (); |
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669 |
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670 CHOL 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 |
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678 retval(0) = get_chol_r (fact); |
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679 } |
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680 else |
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681 { |
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682 // complex case |
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683 ComplexMatrix R = argr.complex_matrix_value (); |
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684 ComplexColumnVector u = argu.complex_column_vector_value (); |
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685 |
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686 ComplexCHOL fact; |
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687 fact.set (R); |
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688 |
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689 if (down) |
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|
690 err = fact.downdate (u); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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9862
diff
changeset
|
691 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff
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|
692 fact.update (u); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
693 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
694 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
695 } |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
696 } |
8547
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
697 |
d66c9b6e506a
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Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
698 if (nargout > 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
699 retval(1) = err; |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
700 else if (err == 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
701 error ("cholupdate: downdate violates positiveness"); |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
702 else if (err == 2) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
703 error ("cholupdate: singular matrix"); |
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implement Cholesky factorization updating
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parents:
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diff
changeset
|
704 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
705 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
706 error ("cholupdate: dimension mismatch between R and U"); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
707 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
708 error ("cholupdate: OP must be \"+\" or \"-\""); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
709 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
710 else |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
711 print_usage (); |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
712 |
40574114c514
implement Cholesky factorization updating
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parents:
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diff
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|
713 return retval; |
40574114c514
implement Cholesky factorization updating
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parents:
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diff
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|
714 } |
40574114c514
implement Cholesky factorization updating
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parents:
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diff
changeset
|
715 |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
716 /* |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
717 %!shared A, u, Ac, uc |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
718 %! A = [ 0.436997 -0.131721 0.124120 -0.061673 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
719 %! -0.131721 0.738529 0.019851 -0.140295 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
720 %! 0.124120 0.019851 0.354879 -0.059472 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
721 %! -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
|
722 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
723 %! u = [ 0.98950 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
724 %! 0.39844 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
725 %! 0.63484 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
726 %! 0.13351 ]; |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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7789
diff
changeset
|
727 %! 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
|
728 %! -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
|
729 %! 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
|
730 %! -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
|
731 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
732 %! 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
|
733 %! 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
|
734 %! 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
|
735 %! 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
|
736 |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
737 %!test |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
738 %! R = chol (A); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
739 %! R1 = cholupdate (R, u); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
740 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
741 %! assert (norm (R1'*R1 - R'*R - u*u', Inf) < 1e1*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
742 %! |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
743 %! R1 = cholupdate (R1, u, "-"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
744 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
745 %! 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
|
746 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
747 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
748 %! R = chol (Ac); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
749 %! R1 = cholupdate (R, uc); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
750 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
751 %! 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
|
752 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
753 %! R1 = cholupdate (R1, uc, "-"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
754 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
755 %! 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
|
756 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
757 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
758 %! R = chol (single (A)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
759 %! R1 = cholupdate (R, single (u)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
760 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
761 %! 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
|
762 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
763 %! R1 = cholupdate (R1, single (u), "-"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
764 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
765 %! assert (norm (R1 - R, Inf) < 2e1*eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
766 |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
767 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
768 %! R = chol (single (Ac)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
769 %! R1 = cholupdate (R, single (uc)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
770 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
771 %! assert (norm (R1'*R1 - R'*R - single (uc*uc'), Inf) < 1e1*eps ("single")); |
11586
12df7854fa7c
strip trailing whitespace from source files
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parents:
11553
diff
changeset
|
772 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
773 %! R1 = cholupdate (R1, single (uc), "-"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
774 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
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parents:
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diff
changeset
|
775 %! assert (norm (R1 - R, Inf) < 2e1*eps ("single")); |
7554
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implement Cholesky factorization updating
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parents:
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diff
changeset
|
776 */ |
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implement Cholesky factorization updating
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parents:
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diff
changeset
|
777 |
7700
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diff
changeset
|
778 DEFUN_DLD (cholinsert, args, nargout, |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
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parents:
17744
diff
changeset
|
779 "-*- texinfo -*-\n\ |
11553
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Improve docstrings for functions in DLD-FUNCTIONS directory.
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parents:
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diff
changeset
|
780 @deftypefn {Loadable Function} {@var{R1} =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
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diff
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|
781 @deftypefnx {Loadable Function} {[@var{R1}, @var{info}] =} cholinsert (@var{R}, @var{j}, @var{u})\n\ |
10840 | 782 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
783 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
784 triangular, return the Cholesky@tie{}factorization of\n\ | |
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changeset
|
785 @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:
8880
diff
changeset
|
786 @w{p = [1:j-1,j+1:n+1]}. @w{u(j)} should be positive.\n\ |
20198
075a5e2e1ba5
doc: Update more docstrings to have one sentence summary as first line.
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parents:
19898
diff
changeset
|
787 \n\ |
7700
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diff
changeset
|
788 On return, @var{info} is set to\n\ |
14620
cd375519eab0
doc: Periodic grammar check of documentation
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parents:
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diff
changeset
|
789 \n\ |
7700
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changeset
|
790 @itemize\n\ |
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changeset
|
791 @item 0 if the insertion was successful,\n\ |
10840 | 792 \n\ |
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changeset
|
793 @item 1 if @var{A1} is not positive definite,\n\ |
10840 | 794 \n\ |
7700
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changeset
|
795 @item 2 if @var{R} is singular.\n\ |
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|
796 @end itemize\n\ |
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|
797 \n\ |
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changeset
|
798 If @var{info} is not present, an error message is printed in cases 1 and 2.\n\ |
16920
53eaa83e4181
doc: Add seealso links between various factorization forms.
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parents:
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diff
changeset
|
799 @seealso{chol, cholupdate, choldelete, cholshift}\n\ |
7700
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|
800 @end deftypefn") |
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changeset
|
801 { |
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changeset
|
802 octave_idx_type nargin = args.length (); |
efccca5f2ad7
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Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
803 |
efccca5f2ad7
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diff
changeset
|
804 octave_value_list retval; |
efccca5f2ad7
more QR & Cholesky updating functions
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diff
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|
805 |
efccca5f2ad7
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parents:
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diff
changeset
|
806 if (nargin != 3) |
efccca5f2ad7
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parents:
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diff
changeset
|
807 { |
efccca5f2ad7
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parents:
7650
diff
changeset
|
808 print_usage (); |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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diff
changeset
|
809 return retval; |
efccca5f2ad7
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parents:
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diff
changeset
|
810 } |
efccca5f2ad7
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diff
changeset
|
811 |
efccca5f2ad7
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changeset
|
812 octave_value argr = args(0); |
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diff
changeset
|
813 octave_value argj = args(1); |
efccca5f2ad7
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diff
changeset
|
814 octave_value argu = args(2); |
efccca5f2ad7
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diff
changeset
|
815 |
9453
5fcf008c7c41
fix Cholesky updating with scalars
Jaroslav Hajek <highegg@gmail.com>
parents:
9065
diff
changeset
|
816 if (argr.is_numeric_type () && argu.is_numeric_type () |
7700
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
817 && argj.is_real_scalar ()) |
efccca5f2ad7
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diff
changeset
|
818 { |
efccca5f2ad7
more QR & Cholesky updating functions
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diff
changeset
|
819 octave_idx_type n = argr.rows (); |
efccca5f2ad7
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parents:
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diff
changeset
|
820 octave_idx_type j = argj.scalar_value (); |
efccca5f2ad7
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parents:
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diff
changeset
|
821 |
efccca5f2ad7
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parents:
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diff
changeset
|
822 if (argr.columns () == n && argu.rows () == n+1 && argu.columns () == 1) |
efccca5f2ad7
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diff
changeset
|
823 { |
efccca5f2ad7
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parents:
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diff
changeset
|
824 if (j > 0 && j <= n+1) |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
825 { |
8547
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
826 int err = 0; |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
827 if (argr.is_single_type () || argu.is_single_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
828 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
829 if (argr.is_real_type () && argu.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
830 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
831 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
832 FloatMatrix R = argr.float_matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
833 FloatColumnVector u = argu.float_column_vector_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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7789
diff
changeset
|
834 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
835 FloatCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
836 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
837 err = fact.insert_sym (u, j-1); |
7700
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diff
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|
838 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
839 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
840 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
841 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
842 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
843 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
844 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
845 FloatComplexColumnVector u = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
846 argu.float_complex_column_vector_value (); |
7700
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|
847 |
10154
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DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
848 FloatComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
849 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
850 err = fact.insert_sym (u, j-1); |
7700
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diff
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|
851 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
852 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
853 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
854 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
855 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
856 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
857 if (argr.is_real_type () && argu.is_real_type ()) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
858 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
859 // real case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
860 Matrix R = argr.matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
861 ColumnVector u = argu.column_vector_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
862 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
863 CHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
864 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
865 err = fact.insert_sym (u, j-1); |
7700
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|
866 |
10154
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
867 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
868 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
869 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
870 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
871 // complex case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
872 ComplexMatrix R = argr.complex_matrix_value (); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
873 ComplexColumnVector u = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
874 argu.complex_column_vector_value (); |
7700
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changeset
|
875 |
10154
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
876 ComplexCHOL fact; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
877 fact.set (R); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
878 err = fact.insert_sym (u, j-1); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
879 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
880 retval(0) = get_chol_r (fact); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
881 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9862
diff
changeset
|
882 } |
8547
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
883 |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
884 if (nargout > 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
885 retval(1) = err; |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
886 else if (err == 1) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
887 error ("cholinsert: insertion violates positiveness"); |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
888 else if (err == 2) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
889 error ("cholinsert: singular matrix"); |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
890 else if (err == 3) |
d66c9b6e506a
imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents:
8517
diff
changeset
|
891 error ("cholinsert: diagonal element must be real"); |
7700
efccca5f2ad7
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diff
changeset
|
892 } |
efccca5f2ad7
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7650
diff
changeset
|
893 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
894 error ("cholinsert: index J out of range"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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diff
changeset
|
895 } |
efccca5f2ad7
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parents:
7650
diff
changeset
|
896 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
897 error ("cholinsert: dimension mismatch between R and U"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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diff
changeset
|
898 } |
efccca5f2ad7
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diff
changeset
|
899 else |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
900 print_usage (); |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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diff
changeset
|
901 |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
902 return retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
903 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
904 |
efccca5f2ad7
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7650
diff
changeset
|
905 /* |
efccca5f2ad7
more QR & Cholesky updating functions
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diff
changeset
|
906 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
907 %! 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
|
908 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
909 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
910 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
911 %! 0.45266 ]; |
7700
efccca5f2ad7
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diff
changeset
|
912 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
913 %! R = chol (A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
914 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
915 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
916 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
917 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
918 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
919 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
920 %! assert (norm (A1(p,p) - A, Inf) < 1e1*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
921 |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
922 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
923 %! 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
|
924 %! 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
|
925 %! 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
|
926 %! -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
|
927 %! 0.45266 + 0.50020i]; |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
928 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
929 %! R = chol (Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
930 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
931 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
932 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
933 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
934 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
935 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
936 %! assert (norm (A1(p,p) - Ac, Inf) < 1e1*eps); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
937 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
938 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
939 %! u2 = single ([ 0.35080 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
940 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
941 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
942 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
943 %! 0.45266 ]); |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
944 %! |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
945 %! R = chol (single (A)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
946 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
947 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
948 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
949 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
950 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
951 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
952 %! assert (norm (A1(p,p) - A, Inf) < 1e1*eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
953 |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
954 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
955 %! 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
|
956 %! 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
|
957 %! 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
|
958 %! -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
|
959 %! 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
|
960 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
961 %! R = chol (single (Ac)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
962 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
963 %! j = 3; p = [1:j-1, j+1:5]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
964 %! R1 = cholinsert (R, j, u2); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
965 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
966 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
967 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
968 %! assert (norm (A1(p,p) - single (Ac), Inf) < 2e1*eps ("single")); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
969 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
970 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
971 %! cu = chol (triu (A), "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
972 %! cl = chol (tril (A), "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
973 %! assert (cu, cl', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
974 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
975 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
976 %! cca = chol (Ac); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
977 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
978 %! ccal = chol (Ac, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
979 %! ccal2 = chol (tril (Ac), "lower"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
980 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
981 %! ccau = chol (Ac, "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
982 %! ccau2 = chol (triu (Ac), "upper"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
983 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
984 %! assert (cca'*cca, Ac, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
985 %! assert (ccau'*ccau, Ac, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
986 %! assert (ccau2'*ccau2, Ac, eps); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
987 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
988 %! assert (cca, ccal', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
989 %! assert (cca, ccau, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
990 %! assert (cca, ccal2', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
991 %! assert (cca, ccau2, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
992 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
993 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
994 %! cca = chol (single (Ac)); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
995 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
996 %! ccal = chol (single (Ac), "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
997 %! ccal2 = chol (tril (single (Ac)), "lower"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
998 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
999 %! ccau = chol (single (Ac), "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1000 %! ccau2 = chol (triu (single (Ac)), "upper"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1001 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1002 %! assert (cca'*cca, single (Ac), eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1003 %! assert (ccau'*ccau, single (Ac), eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1004 %! assert (ccau2'*ccau2, single (Ac), eps ("single")); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1005 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1006 %! assert (cca, ccal', eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1007 %! assert (cca, ccau, eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1008 %! assert (cca, ccal2', eps ("single")); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1009 %! assert (cca, ccau2, eps ("single")); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1010 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1011 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1012 %! a = [12, 2, 3, 4; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1013 %! 2, 14, 5, 3; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1014 %! 3, 5, 16, 6; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1015 %! 4, 3, 6, 16]; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1016 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1017 %! b = [0, 1, 2, 3; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1018 %! -1, 0, 1, 2; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1019 %! -2, -1, 0, 1; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1020 %! -3, -2, -1, 0]; |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1021 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1022 %! ca = a + i*b; |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1023 %! |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1024 %! cca = chol (ca); |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1025 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1026 %! ccal = chol (ca, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1027 %! ccal2 = chol (tril (ca), "lower"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
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|
1028 %! |
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Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
1029 %! ccau = chol (ca, "upper"); |
60e5cf354d80
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Rik <octave@nomad.inbox5.com>
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diff
changeset
|
1030 %! ccau2 = chol (triu (ca), "upper"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
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|
1031 %! |
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Rik <octave@nomad.inbox5.com>
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diff
changeset
|
1032 %! assert (cca'*cca, ca, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff
changeset
|
1033 %! assert (ccau'*ccau, ca, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
1034 %! assert (ccau2'*ccau2, ca, 16*eps); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1035 %! |
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diff
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|
1036 %! assert (cca, ccal', 16*eps); |
60e5cf354d80
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Rik <octave@nomad.inbox5.com>
parents:
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|
1037 %! assert (cca, ccau, 16*eps); |
60e5cf354d80
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parents:
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|
1038 %! assert (cca, ccal2', 16*eps); |
60e5cf354d80
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|
1039 %! assert (cca, ccau2, 16*eps); |
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1040 */ |
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1041 |
7924 | 1042 DEFUN_DLD (choldelete, args, , |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1043 "-*- texinfo -*-\n\ |
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1044 @deftypefn {Loadable Function} {@var{R1} =} choldelete (@var{R}, @var{j})\n\ |
10840 | 1045 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
1046 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
|
1047 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
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|
1048 @w{p = [1:j-1,j+1:n+1]}.\n\ |
16920
53eaa83e4181
doc: Add seealso links between various factorization forms.
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|
1049 @seealso{chol, cholupdate, cholinsert, cholshift}\n\ |
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1050 @end deftypefn") |
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1051 { |
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1052 octave_idx_type nargin = args.length (); |
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1053 |
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1054 octave_value_list retval; |
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1055 |
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1056 if (nargin != 2) |
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|
1057 { |
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|
1058 print_usage (); |
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1059 return retval; |
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|
1060 } |
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|
1061 |
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1062 octave_value argr = args(0); |
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1063 octave_value argj = args(1); |
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1064 |
9453
5fcf008c7c41
fix Cholesky updating with scalars
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|
1065 if (argr.is_numeric_type () && argj.is_real_scalar ()) |
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1066 { |
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1067 octave_idx_type n = argr.rows (); |
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1068 octave_idx_type j = argj.scalar_value (); |
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1069 |
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1070 if (argr.columns () == n) |
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1071 { |
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1072 if (j > 0 && j <= n) |
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1073 { |
10154
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|
1074 if (argr.is_single_type ()) |
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|
1075 { |
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|
1076 if (argr.is_real_type ()) |
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|
1077 { |
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|
1078 // real case |
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|
1079 FloatMatrix R = argr.float_matrix_value (); |
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1080 |
10154
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|
1081 FloatCHOL fact; |
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|
1082 fact.set (R); |
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|
1083 fact.delete_sym (j-1); |
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1084 |
10154
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|
1085 retval(0) = get_chol_r (fact); |
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|
1086 } |
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|
1087 else |
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|
1088 { |
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|
1089 // complex case |
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|
1090 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
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1091 |
10154
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|
1092 FloatComplexCHOL fact; |
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|
1093 fact.set (R); |
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|
1094 fact.delete_sym (j-1); |
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1095 |
10154
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|
1096 retval(0) = get_chol_r (fact); |
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|
1097 } |
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|
1098 } |
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|
1099 else |
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|
1100 { |
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|
1101 if (argr.is_real_type ()) |
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|
1102 { |
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|
1103 // real case |
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|
1104 Matrix R = argr.matrix_value (); |
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1105 |
10154
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|
1106 CHOL fact; |
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|
1107 fact.set (R); |
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|
1108 fact.delete_sym (j-1); |
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1109 |
10154
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|
1110 retval(0) = get_chol_r (fact); |
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|
1111 } |
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changeset
|
1112 else |
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|
1113 { |
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|
1114 // complex case |
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1115 ComplexMatrix R = argr.complex_matrix_value (); |
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1116 |
10154
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|
1117 ComplexCHOL fact; |
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|
1118 fact.set (R); |
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|
1119 fact.delete_sym (j-1); |
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|
1120 |
10154
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|
1121 retval(0) = get_chol_r (fact); |
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|
1122 } |
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|
1123 } |
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1124 } |
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1125 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
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11523
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|
1126 error ("choldelete: index J out of range"); |
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1127 } |
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|
1128 else |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
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11523
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|
1129 error ("choldelete: matrix R must be square"); |
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1130 } |
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1131 else |
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1132 print_usage (); |
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1133 |
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|
1134 return retval; |
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1135 } |
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1136 |
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|
1137 /* |
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1138 %!test |
14854
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|
1139 %! R = chol (A); |
11586
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diff
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|
1140 %! |
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|
1141 %! j = 3; p = [1:j-1,j+1:4]; |
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|
1142 %! R1 = choldelete (R, j); |
11586
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|
1143 %! |
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changeset
|
1144 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
1145 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
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|
1146 |
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David Bateman <dbateman@free.fr>
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|
1147 %!test |
14501
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|
1148 %! R = chol (Ac); |
60e5cf354d80
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|
1149 %! |
60e5cf354d80
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|
1150 %! j = 3; p = [1:j-1,j+1:4]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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|
1151 %! R1 = choldelete (R, j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
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|
1152 %! |
14501
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Rik <octave@nomad.inbox5.com>
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diff
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|
1153 %! assert (norm (triu (R1)-R1, Inf), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff
changeset
|
1154 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
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|
1155 |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
1156 %!test |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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|
1157 %! R = chol (single (A)); |
11586
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diff
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|
1158 %! |
14501
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diff
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|
1159 %! j = 3; p = [1:j-1,j+1:4]; |
60e5cf354d80
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|
1160 %! R1 = choldelete (R, j); |
11586
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|
1161 %! |
14501
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|
1162 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
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|
1163 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
60e5cf354d80
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|
1164 |
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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|
1165 %!test |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
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14846
diff
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|
1166 %! R = chol (single (Ac)); |
11586
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|
1167 %! |
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|
1168 %! j = 3; p = [1:j-1,j+1:4]; |
14854
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maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
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14846
diff
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|
1169 %! R1 = choldelete (R,j); |
11586
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|
1170 %! |
14501
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|
1171 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
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|
1172 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1173 */ |
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1174 |
7924 | 1175 DEFUN_DLD (cholshift, args, , |
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|
1176 "-*- texinfo -*-\n\ |
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1177 @deftypefn {Loadable Function} {@var{R1} =} cholshift (@var{R}, @var{i}, @var{j})\n\ |
10840 | 1178 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian\n\ |
1179 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper\n\ | |
1180 triangular, return the Cholesky@tie{}factorization of\n\ | |
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1181 @w{@var{A}(p,p)}, where @w{p} is the permutation @*\n\ |
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1182 @code{p = [1:i-1, shift(i:j, 1), j+1:n]} if @w{@var{i} < @var{j}} @*\n\ |
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|
1183 or @*\n\ |
9064
7c02ec148a3c
Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents:
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diff
changeset
|
1184 @code{p = [1:j-1, shift(j:i,-1), i+1:n]} if @w{@var{j} < @var{i}}. @*\n\ |
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1185 \n\ |
16920
53eaa83e4181
doc: Add seealso links between various factorization forms.
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|
1186 @seealso{chol, cholupdate, cholinsert, choldelete}\n\ |
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1187 @end deftypefn") |
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1188 { |
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1189 octave_idx_type nargin = args.length (); |
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1190 |
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1191 octave_value_list retval; |
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1192 |
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1193 if (nargin != 3) |
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1194 { |
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|
1195 print_usage (); |
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1196 return retval; |
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1197 } |
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1198 |
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1199 octave_value argr = args(0); |
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1200 octave_value argi = args(1); |
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1201 octave_value argj = args(2); |
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1202 |
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1203 if (argr.is_numeric_type () |
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1204 && argi.is_real_scalar () && argj.is_real_scalar ()) |
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1205 { |
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1206 octave_idx_type n = argr.rows (); |
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1207 octave_idx_type i = argi.scalar_value (); |
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1208 octave_idx_type j = argj.scalar_value (); |
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1209 |
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1210 if (argr.columns () == n) |
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1211 { |
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1212 if (j > 0 && j <= n+1 && i > 0 && i <= n+1) |
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1213 { |
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1214 |
19898
17d647821d61
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1215 if (argr.is_single_type () && argi.is_single_type () |
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|
1216 && argj.is_single_type ()) |
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1217 { |
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1218 if (argr.is_real_type ()) |
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1219 { |
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|
1220 // real case |
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1221 FloatMatrix R = argr.float_matrix_value (); |
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1222 |
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1223 FloatCHOL fact; |
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|
1224 fact.set (R); |
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1225 fact.shift_sym (i-1, j-1); |
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1226 |
10154
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1227 retval(0) = get_chol_r (fact); |
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1228 } |
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|
1229 else |
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1230 { |
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1231 // complex case |
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1232 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
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1233 |
10154
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1234 FloatComplexCHOL fact; |
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1235 fact.set (R); |
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1236 fact.shift_sym (i-1, j-1); |
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1237 |
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|
1238 retval(0) = get_chol_r (fact); |
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1239 } |
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1240 } |
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|
1241 else |
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1242 { |
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1243 if (argr.is_real_type ()) |
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1244 { |
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1245 // real case |
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1246 Matrix R = argr.matrix_value (); |
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1247 |
10154
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1248 CHOL fact; |
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|
1249 fact.set (R); |
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1250 fact.shift_sym (i-1, j-1); |
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1251 |
10154
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|
1252 retval(0) = get_chol_r (fact); |
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1253 } |
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|
1254 else |
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|
1255 { |
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|
1256 // complex case |
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1257 ComplexMatrix R = argr.complex_matrix_value (); |
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1258 |
10154
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|
1259 ComplexCHOL fact; |
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|
1260 fact.set (R); |
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changeset
|
1261 fact.shift_sym (i-1, j-1); |
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1262 |
10154
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|
1263 retval(0) = get_chol_r (fact); |
40dfc0c99116
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|
1264 } |
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|
1265 } |
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1266 } |
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1267 else |
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|
1268 error ("cholshift: index I or J is out of range"); |
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1269 } |
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|
1270 else |
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|
1271 error ("cholshift: R must be a square matrix"); |
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1272 } |
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|
1273 else |
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|
1274 print_usage (); |
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1275 |
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1276 return retval; |
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1277 } |
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|
1278 |
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1279 /* |
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1280 %!test |
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1281 %! R = chol (A); |
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1282 %! |
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1283 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1284 %! R1 = cholshift (R, i, j); |
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|
1285 %! |
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|
1286 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
1287 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
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|
1288 %! |
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|
1289 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1290 %! R1 = cholshift (R, i, j); |
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|
1291 %! |
14854
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|
1292 %! assert (norm (triu (R1) - R1, Inf), 0); |
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|
1293 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
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|
1294 |
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1295 %!test |
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1296 %! R = chol (Ac); |
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|
1297 %! |
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1298 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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|
1299 %! R1 = cholshift (R, i, j); |
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|
1300 %! |
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|
1301 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
1302 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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|
1303 %! |
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|
1304 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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|
1305 %! R1 = cholshift (R, i, j); |
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|
1306 %! |
14501
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|
1307 %! assert (norm (triu (R1)-R1, Inf), 0); |
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|
1308 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
7814
87865ed7405f
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|
1309 |
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|
1310 %!test |
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1311 %! R = chol (single (A)); |
17787
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|
1312 %! |
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1313 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1314 %! R1 = cholshift (R, i, j); |
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1315 %! |
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|
1316 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1317 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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1318 %! |
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1319 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1320 %! R1 = cholshift (R, i, j); |
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1321 %! |
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|
1322 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1323 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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|
1324 |
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1325 %!test |
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1326 %! R = chol (single (Ac)); |
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1327 %! |
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1328 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1329 %! R1 = cholshift (R, i, j); |
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1330 %! |
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1331 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1332 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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|
1333 %! |
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1334 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+1:4]; |
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1335 %! R1 = cholshift (R, i, j); |
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1336 %! |
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1337 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1338 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1339 */ |