Mercurial > octave
annotate libinterp/corefcn/chol.cc @ 29958:32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
* mk-opts.pl: Surround emitted function definitions with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
* mk-builtins.pl: Surround emitted function declarations with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated
global inline functions.
* __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc,
__expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc,
__lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc,
amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc,
ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc,
daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc,
defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc,
dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc,
fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc,
interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc,
pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc,
rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc,
spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc,
syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc,
typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc,
__voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc,
gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc,
ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc,
octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround
DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN
and OCTAVE_NAMESPACE_END tags.
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 13 Aug 2021 21:53:51 -0400 |
parents | 7854d5752dd2 |
children | 7d6709900da7 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1996-2021 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
2928 | 28 #endif |
29 | |
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30 #include <string> |
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31 |
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32 #include "Matrix.h" |
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33 #include "chol.h" |
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34 #include "oct-string.h" |
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35 #include "sparse-chol.h" |
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36 #include "sparse-util.h" |
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38 #include "defun.h" |
2928 | 39 #include "error.h" |
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40 #include "errwarn.h" |
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41 #include "ov.h" |
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42 #include "ovl.h" |
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44 OCTAVE_NAMESPACE_BEGIN |
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45 |
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46 template <typename CHOLT> |
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47 static octave_value |
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48 get_chol (const CHOLT& fact) |
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49 { |
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50 return octave_value (fact.chol_matrix()); |
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51 } |
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52 |
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53 template <typename CHOLT> |
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54 static octave_value |
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55 get_chol_r (const CHOLT& fact) |
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56 { |
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57 return octave_value (fact.chol_matrix (), |
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58 MatrixType (MatrixType::Upper)); |
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59 } |
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60 |
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61 template <typename CHOLT> |
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62 static octave_value |
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63 get_chol_l (const CHOLT& fact) |
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64 { |
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65 return octave_value (fact.chol_matrix ().transpose (), |
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66 MatrixType (MatrixType::Lower)); |
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67 } |
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68 |
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69 DEFUN (chol, args, nargout, |
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70 doc: /* -*- texinfo -*- |
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71 @deftypefn {} {@var{R} =} chol (@var{A}) |
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72 @deftypefnx {} {[@var{R}, @var{p}] =} chol (@var{A}) |
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73 @deftypefnx {} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{A}) |
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74 @deftypefnx {} {[@var{R}, @var{p}, @var{Q}] =} chol (@var{A}, "vector") |
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75 @deftypefnx {} {[@var{L}, @dots{}] =} chol (@dots{}, "lower") |
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76 @deftypefnx {} {[@var{R}, @dots{}] =} chol (@dots{}, "upper") |
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77 @cindex Cholesky factorization |
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78 Compute the upper Cholesky@tie{}factor, @var{R}, of the real symmetric |
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79 or complex Hermitian positive definite matrix @var{A}. |
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80 |
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81 The upper Cholesky@tie{}factor @var{R} is computed by using the upper |
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82 triangular part of matrix @var{A} and is defined by |
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83 @tex |
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84 $ R^T R = A $. |
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85 @end tex |
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86 @ifnottex |
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87 |
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88 @example |
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89 @var{R}' * @var{R} = @var{A}. |
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90 @end example |
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91 |
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92 @end ifnottex |
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93 |
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94 Calling @code{chol} using the optional @qcode{"upper"} flag has the |
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95 same behavior. In contrast, using the optional @qcode{"lower"} flag, |
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96 @code{chol} returns the lower triangular factorization, computed by using |
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97 the lower triangular part of matrix @var{A}, such that |
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98 @tex |
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99 $ L L^T = A $. |
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100 @end tex |
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101 @ifnottex |
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102 |
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103 @example |
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104 @var{L} * @var{L}' = @var{A}. |
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105 @end example |
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106 |
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107 @end ifnottex |
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108 |
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109 Called with one output argument @code{chol} fails if matrix @var{A} is |
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110 not positive definite. Note that if matrix @var{A} is not real symmetric |
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111 or complex Hermitian then the lower triangular part is considered to be |
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112 the (complex conjugate) transpose of the upper triangular part, or vice |
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113 versa, given the @qcode{"lower"} flag. |
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114 |
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115 Called with two or more output arguments @var{p} flags whether the matrix |
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116 @var{A} was positive definite and @code{chol} does not fail. A zero value |
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117 of @var{p} indicates that matrix @var{A} is positive definite and @var{R} |
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118 gives the factorization. Otherwise, @var{p} will have a positive value. |
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119 |
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120 If called with three output arguments matrix @var{A} must be sparse and |
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121 a sparsity preserving row/column permutation is applied to matrix @var{A} |
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122 prior to the factorization. That is @var{R} is the factorization of |
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123 @code{@var{A}(@var{Q},@var{Q})} such that |
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124 @tex |
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125 $ R^T R = Q^T A Q$. |
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126 @end tex |
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127 @ifnottex |
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128 |
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129 @example |
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130 @var{R}' * @var{R} = @var{Q}' * @var{A} * @var{Q}. |
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131 @end example |
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132 |
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133 @end ifnottex |
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134 |
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135 The sparsity preserving permutation is generally returned as a matrix. |
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136 However, given the optional flag @qcode{"vector"}, @var{Q} will be |
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137 returned as a vector such that |
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138 @tex |
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139 $ R^T R = A (Q, Q)$. |
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140 @end tex |
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141 @ifnottex |
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142 |
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143 @example |
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144 @var{R}' * @var{R} = @var{A}(@var{Q}, @var{Q}). |
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145 @end example |
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146 |
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147 @end ifnottex |
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148 |
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149 In general the lower triangular factorization is significantly faster for |
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150 sparse matrices. |
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151 @seealso{hess, lu, qr, qz, schur, svd, ichol, cholinv, chol2inv, cholupdate, cholinsert, choldelete, cholshift} |
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152 @end deftypefn */) |
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154 int nargin = args.length (); |
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156 if (nargin < 1 || nargin > 3 || nargout > 3) |
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157 print_usage (); |
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158 if (nargout > 2 && ! args(0).issparse ()) |
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159 error ("chol: using three output arguments, matrix A must be sparse"); |
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161 bool LLt = false; |
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162 bool vecout = false; |
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163 |
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164 int n = 1; |
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165 while (n < nargin) |
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166 { |
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167 std::string tmp = args(n++).xstring_value ("chol: optional arguments must be strings"); |
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168 |
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169 if (octave::string::strcmpi (tmp, "vector")) |
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170 vecout = true; |
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171 else if (octave::string::strcmpi (tmp, "lower")) |
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172 LLt = true; |
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173 else if (octave::string::strcmpi (tmp, "upper")) |
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174 LLt = false; |
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175 else |
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176 error (R"(chol: optional argument must be one of "vector", "lower", or "upper")"); |
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177 } |
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179 octave_value_list retval; |
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180 octave_value arg = args(0); |
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181 |
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182 if (arg.isempty ()) |
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183 return ovl (Matrix ()); |
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185 if (arg.issparse ()) |
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186 { |
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187 octave_idx_type info; |
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188 bool natural = (nargout != 3); |
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189 bool force = nargout > 1; |
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190 |
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191 if (arg.isreal ()) |
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192 { |
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193 SparseMatrix m = arg.sparse_matrix_value (); |
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194 |
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195 octave::math::sparse_chol<SparseMatrix> fact (m, info, natural, force); |
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197 if (nargout == 3) |
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198 { |
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199 if (vecout) |
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200 retval(2) = fact.perm (); |
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201 else |
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202 retval(2) = fact.Q (); |
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203 } |
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205 if (nargout >= 2 || info == 0) |
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206 { |
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207 retval(1) = info; |
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208 if (LLt) |
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209 retval(0) = fact.L (); |
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210 else |
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211 retval(0) = fact.R (); |
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212 } |
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213 else |
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214 error ("chol: input matrix must be positive definite"); |
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215 } |
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216 else if (arg.iscomplex ()) |
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217 { |
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218 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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219 |
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220 octave::math::sparse_chol<SparseComplexMatrix> fact (m, info, natural, force); |
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221 |
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222 if (nargout == 3) |
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223 { |
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224 if (vecout) |
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225 retval(2) = fact.perm (); |
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226 else |
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227 retval(2) = fact.Q (); |
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228 } |
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229 |
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230 if (nargout >= 2 || info == 0) |
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231 { |
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232 retval(1) = info; |
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233 if (LLt) |
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234 retval(0) = fact.L (); |
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235 else |
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236 retval(0) = fact.R (); |
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237 } |
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238 else |
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239 error ("chol: input matrix must be positive definite"); |
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240 } |
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241 else |
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242 err_wrong_type_arg ("chol", arg); |
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243 } |
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244 else if (arg.is_single_type ()) |
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245 { |
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246 if (vecout) |
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247 error (R"(chol: A must be sparse for the "vector" option)"); |
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248 if (arg.isreal ()) |
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249 { |
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250 FloatMatrix m = arg.float_matrix_value (); |
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251 |
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252 octave_idx_type info; |
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253 |
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254 octave::math::chol<FloatMatrix> fact (m, info, LLt != true); |
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255 |
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256 if (nargout == 2 || info == 0) |
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257 retval = ovl (get_chol (fact), info); |
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258 else |
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259 error ("chol: input matrix must be positive definite"); |
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260 } |
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261 else if (arg.iscomplex ()) |
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262 { |
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263 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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264 |
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265 octave_idx_type info; |
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266 |
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267 octave::math::chol<FloatComplexMatrix> fact (m, info, LLt != true); |
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268 |
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269 if (nargout == 2 || info == 0) |
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270 retval = ovl (get_chol (fact), info); |
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271 else |
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272 error ("chol: input matrix must be positive definite"); |
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273 } |
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274 else |
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275 err_wrong_type_arg ("chol", arg); |
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276 } |
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277 else |
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278 { |
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279 if (vecout) |
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280 error (R"(chol: A must be sparse for the "vector" option)"); |
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281 if (arg.isreal ()) |
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282 { |
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283 Matrix m = arg.matrix_value (); |
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284 |
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285 octave_idx_type info; |
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286 |
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287 octave::math::chol<Matrix> fact (m, info, LLt != true); |
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288 |
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289 if (nargout == 2 || info == 0) |
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290 retval = ovl (get_chol (fact), info); |
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291 else |
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292 error ("chol: input matrix must be positive definite"); |
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293 } |
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294 else if (arg.iscomplex ()) |
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295 { |
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296 ComplexMatrix m = arg.complex_matrix_value (); |
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297 |
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298 octave_idx_type info; |
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299 |
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300 octave::math::chol<ComplexMatrix> fact (m, info, LLt != true); |
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301 |
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302 if (nargout == 2 || info == 0) |
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303 retval = ovl (get_chol (fact), info); |
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304 else |
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305 error ("chol: input matrix must be positive definite"); |
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306 } |
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307 else |
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308 err_wrong_type_arg ("chol", arg); |
2928 | 309 } |
310 | |
311 return retval; | |
312 } | |
313 | |
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314 /* |
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315 %!assert (chol ([2, 1; 1, 1]), [sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)], sqrt (eps)) |
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316 %!assert (chol (single ([2, 1; 1, 1])), single ([sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)]), sqrt (eps ("single"))) |
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317 |
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318 %!assert (chol ([2, 1; 1, 1], "upper"), [sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)], |
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319 %! sqrt (eps)) |
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320 %!assert (chol ([2, 1; 1, 1], "lower"), [sqrt(2), 0; 1/sqrt(2), 1/sqrt(2)], |
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321 %! sqrt (eps)) |
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322 |
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323 %!assert (chol ([2, 1; 1, 1], "lower"), chol ([2, 1; 1, 1], "LoweR")) |
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324 %!assert (chol ([2, 1; 1, 1], "upper"), chol ([2, 1; 1, 1], "Upper")) |
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325 |
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326 ## Check the "vector" option which only affects the 3rd argument and |
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327 ## is only valid for sparse input. |
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328 %!testif HAVE_CHOLMOD |
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329 %! a = sparse ([2 1; 1 1]); |
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330 %! r = sparse ([sqrt(2), 1/sqrt(2); 0, 1/sqrt(2)]); |
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331 %! [rd, pd, qd] = chol (a); |
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332 %! [rv, pv, qv] = chol (a, "vector"); |
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333 %! assert (r, rd, eps) |
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334 %! assert (r, rv, eps) |
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335 %! assert (pd, 0) |
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336 %! assert (pd, pv) |
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337 %! assert (qd, sparse (eye (2))) |
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338 %! assert (qv, [1 2]) |
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339 %! |
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340 %! [rv, pv, qv] = chol (a, "Vector"); # check case sensitivity |
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341 %! assert (r, rv, eps) |
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342 %! assert (pd, pv) |
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343 %! assert (qv, [1 2]) |
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344 |
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345 %!testif HAVE_CHOLMOD <*42587> |
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346 %! A = sparse ([1 0 8;0 1 8;8 8 1]); |
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347 %! [Q, p] = chol (A); |
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348 %! assert (p != 0); |
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349 |
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350 %!error chol () |
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351 %!error <matrix must be positive definite> chol ([1, 2; 3, 4]) |
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352 %!error <requires square matrix> chol ([1, 2; 3, 4; 5, 6]) |
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353 %!error <optional arguments must be strings> chol (1, 2) |
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354 %!error <optional argument must be one of "vector", "lower"> chol (1, "foobar") |
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355 %!error <matrix A must be sparse> [L,p,Q] = chol ([1, 2; 3, 4]) |
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356 %!error <A must be sparse> [L, p] = chol ([1, 2; 3, 4], "vector") |
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357 */ |
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358 |
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359 DEFUN (cholinv, args, , |
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360 doc: /* -*- texinfo -*- |
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361 @deftypefn {} {} cholinv (@var{A}) |
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362 Compute the inverse of the symmetric positive definite matrix @var{A} using |
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363 the Cholesky@tie{}factorization. |
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364 @seealso{chol, chol2inv, inv} |
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365 @end deftypefn */) |
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367 if (args.length () != 1) |
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368 print_usage (); |
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369 |
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370 octave_value retval; |
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371 octave_value arg = args(0); |
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372 |
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373 octave_idx_type nr = arg.rows (); |
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374 octave_idx_type nc = arg.columns (); |
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375 |
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376 if (nr == 0 || nc == 0) |
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377 retval = Matrix (); |
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378 else |
5340 | 379 { |
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380 if (arg.issparse ()) |
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381 { |
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382 octave_idx_type info; |
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383 |
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384 if (arg.isreal ()) |
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385 { |
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386 SparseMatrix m = arg.sparse_matrix_value (); |
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387 |
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388 octave::math::sparse_chol<SparseMatrix> chol (m, info); |
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389 |
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390 if (info == 0) |
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391 retval = chol.inverse (); |
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392 else |
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393 error ("cholinv: A must be positive definite"); |
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394 } |
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395 else if (arg.iscomplex ()) |
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396 { |
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397 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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398 |
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399 octave::math::sparse_chol<SparseComplexMatrix> chol (m, info); |
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400 |
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401 if (info == 0) |
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402 retval = chol.inverse (); |
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403 else |
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404 error ("cholinv: A must be positive definite"); |
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405 } |
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406 else |
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407 err_wrong_type_arg ("cholinv", arg); |
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408 } |
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409 else if (arg.is_single_type ()) |
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410 { |
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411 if (arg.isreal ()) |
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412 { |
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413 FloatMatrix m = arg.float_matrix_value (); |
5340 | 414 |
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415 octave_idx_type info; |
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416 octave::math::chol<FloatMatrix> chol (m, info); |
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417 if (info == 0) |
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418 retval = chol.inverse (); |
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419 else |
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420 error ("cholinv: A must be positive definite"); |
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421 } |
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422 else if (arg.iscomplex ()) |
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423 { |
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424 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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425 |
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426 octave_idx_type info; |
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427 octave::math::chol<FloatComplexMatrix> chol (m, info); |
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428 if (info == 0) |
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429 retval = chol.inverse (); |
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430 else |
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431 error ("cholinv: A must be positive definite"); |
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432 } |
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433 else |
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434 err_wrong_type_arg ("chol", arg); |
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435 } |
5340 | 436 else |
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437 { |
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438 if (arg.isreal ()) |
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439 { |
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440 Matrix m = arg.matrix_value (); |
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441 |
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442 octave_idx_type info; |
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443 octave::math::chol<Matrix> chol (m, info); |
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444 if (info == 0) |
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445 retval = chol.inverse (); |
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446 else |
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447 error ("cholinv: A must be positive definite"); |
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448 } |
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449 else if (arg.iscomplex ()) |
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450 { |
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451 ComplexMatrix m = arg.complex_matrix_value (); |
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452 |
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453 octave_idx_type info; |
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454 octave::math::chol<ComplexMatrix> chol (m, info); |
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455 if (info == 0) |
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456 retval = chol.inverse (); |
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457 else |
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458 error ("cholinv: A must be positive definite"); |
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459 } |
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460 else |
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461 err_wrong_type_arg ("chol", arg); |
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462 } |
5340 | 463 } |
464 | |
465 return retval; | |
466 } | |
467 | |
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468 /* |
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470 %! A = [2,0.2;0.2,1]; |
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471 %! Ainv = inv (A); |
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473 %! Ainv1 = cholinv (A); |
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474 %! assert (norm (Ainv-Ainv1), 0, 1e-10); |
8871 | 475 %!testif HAVE_CHOLMOD |
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476 %! Ainv2 = inv (sparse (A)); |
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477 %! assert (norm (Ainv-Ainv2), 0, 1e-10); |
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478 %!testif HAVE_CHOLMOD |
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479 %! Ainv3 = cholinv (sparse (A)); |
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480 %! assert (norm (Ainv-Ainv3), 0, 1e-10); |
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481 */ |
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482 |
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483 DEFUN (chol2inv, args, , |
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484 doc: /* -*- texinfo -*- |
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485 @deftypefn {} {} chol2inv (@var{U}) |
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486 Invert a symmetric, positive definite square matrix from its Cholesky |
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487 decomposition, @var{U}. |
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488 |
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489 Note that @var{U} should be an upper-triangular matrix with positive |
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490 diagonal elements. @code{chol2inv (@var{U})} provides |
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491 @code{inv (@var{U}'*@var{U})} but it is much faster than using @code{inv}. |
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492 @seealso{chol, cholinv, inv} |
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493 @end deftypefn */) |
5340 | 494 { |
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495 if (args.length () != 1) |
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496 print_usage (); |
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497 |
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498 octave_value retval; |
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499 |
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500 octave_value arg = args(0); |
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501 |
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502 octave_idx_type nr = arg.rows (); |
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503 octave_idx_type nc = arg.columns (); |
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504 |
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505 if (nr == 0 || nc == 0) |
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506 retval = Matrix (); |
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507 else |
5340 | 508 { |
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509 if (arg.issparse ()) |
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510 { |
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511 if (arg.isreal ()) |
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512 { |
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513 SparseMatrix r = arg.sparse_matrix_value (); |
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514 |
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515 retval = octave::math::chol2inv (r); |
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516 } |
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517 else if (arg.iscomplex ()) |
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518 { |
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519 SparseComplexMatrix r = arg.sparse_complex_matrix_value (); |
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520 |
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521 retval = octave::math::chol2inv (r); |
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522 } |
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523 else |
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524 err_wrong_type_arg ("chol2inv", arg); |
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525 } |
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526 else if (arg.is_single_type ()) |
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527 { |
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528 if (arg.isreal ()) |
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529 { |
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530 FloatMatrix r = arg.float_matrix_value (); |
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532 retval = octave::math::chol2inv (r); |
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533 } |
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534 else if (arg.iscomplex ()) |
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535 { |
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536 FloatComplexMatrix r = arg.float_complex_matrix_value (); |
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537 |
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538 retval = octave::math::chol2inv (r); |
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539 } |
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540 else |
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541 err_wrong_type_arg ("chol2inv", arg); |
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542 |
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543 } |
5340 | 544 else |
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545 { |
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546 if (arg.isreal ()) |
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547 { |
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548 Matrix r = arg.matrix_value (); |
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550 retval = octave::math::chol2inv (r); |
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551 } |
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552 else if (arg.iscomplex ()) |
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553 { |
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554 ComplexMatrix r = arg.complex_matrix_value (); |
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555 |
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556 retval = octave::math::chol2inv (r); |
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557 } |
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558 else |
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559 err_wrong_type_arg ("chol2inv", arg); |
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560 } |
5340 | 561 } |
562 | |
563 return retval; | |
564 } | |
565 | |
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566 /* |
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567 |
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568 ## Test for bug #36437 |
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569 %!function sparse_chol2inv (T, tol) |
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570 %! iT = inv (T); |
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571 %! ciT = chol2inv (chol (T)); |
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572 %! assert (ciT, iT, tol); |
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573 %! assert (chol2inv (chol ( full (T))), ciT, tol*2); |
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574 %!endfunction |
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575 |
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576 %!testif HAVE_CHOLMOD |
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577 %! A = gallery ("poisson", 3); |
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578 %! sparse_chol2inv (A, eps); |
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579 |
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580 %!testif HAVE_CHOLMOD |
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581 %! n = 10; |
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582 %! B = spdiags (ones (n, 1) * [1 2 1], [-1 0 1], n, n); |
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583 %! sparse_chol2inv (B, eps*100); |
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584 |
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585 %!testif HAVE_CHOLMOD |
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586 %! C = gallery ("tridiag", 5); |
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587 %! sparse_chol2inv (C, eps*10); |
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588 |
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589 %!testif HAVE_CHOLMOD |
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590 %! D = gallery ("wathen", 1, 1); |
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591 %! sparse_chol2inv (D, eps*10^4); |
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592 |
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593 */ |
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parents:
22229
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|
594 |
28024
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move sparse functions from dldfcn to corefcn directory (bug #57459)
John W. Eaton <jwe@octave.org>
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diff
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|
595 DEFUN (cholupdate, args, nargout, |
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move sparse functions from dldfcn to corefcn directory (bug #57459)
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596 doc: /* -*- texinfo -*- |
21966
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597 @deftypefn {} {[@var{R1}, @var{info}] =} cholupdate (@var{R}, @var{u}, @var{op}) |
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598 Update or downdate a Cholesky@tie{}factorization. |
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599 |
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600 Given an upper triangular matrix @var{R} and a column vector @var{u}, |
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601 attempt to determine another upper triangular matrix @var{R1} such that |
112b20240c87
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|
602 |
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603 @itemize @bullet |
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604 @item |
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605 @var{R1}'*@var{R1} = @var{R}'*@var{R} + @var{u}*@var{u}' |
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606 if @var{op} is @qcode{"+"} |
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|
607 |
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608 @item |
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609 @var{R1}'*@var{R1} = @var{R}'*@var{R} - @var{u}*@var{u}' |
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610 if @var{op} is @qcode{"-"} |
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611 @end itemize |
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612 |
112b20240c87
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613 If @var{op} is @qcode{"-"}, @var{info} is set to |
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|
614 |
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|
615 @itemize |
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616 @item 0 if the downdate was successful, |
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617 |
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618 @item 1 if @var{R}'*@var{R} - @var{u}*@var{u}' is not positive definite, |
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619 |
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620 @item 2 if @var{R} is singular. |
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621 @end itemize |
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622 |
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623 If @var{info} is not present, an error message is printed in cases 1 and 2. |
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624 @seealso{chol, cholinsert, choldelete, cholshift} |
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625 @end deftypefn */) |
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626 { |
20816
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|
627 int nargin = args.length (); |
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628 |
20898
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629 if (nargin < 2 || nargin > 3) |
20790
c2d9556d51d0
eliminate return statements after calls to print_usage
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|
630 print_usage (); |
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631 |
7559
07522d7dcdf8
fixes to QR and Cholesky updating code
Jaroslav Hajek <highegg@gmail.com>
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|
632 octave_value argr = args(0); |
07522d7dcdf8
fixes to QR and Cholesky updating code
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|
633 octave_value argu = args(1); |
7554
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634 |
23586
f6c5db0a02e7
maint: Deprecate is_numeric_type and replace with isnumeric.
Rik <rik@octave.org>
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|
635 if (! argr.isnumeric () || ! argu.isnumeric () |
20851
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636 || (nargin > 2 && ! args(2).is_string ())) |
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|
637 print_usage (); |
7559
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638 |
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639 octave_value_list retval (nargout == 2 ? 2 : 1); |
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640 |
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641 octave_idx_type n = argr.rows (); |
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642 |
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643 std::string op = (nargin < 3) ? "+" : args(2).string_value (); |
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644 |
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645 bool down = (op == "-"); |
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646 |
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647 if (! down && op != "+") |
23803
90689bdbe048
Use C++11 raw string literals to avoid escaping double quotes.
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diff
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|
648 error (R"(cholupdate: OP must be "+" or "-")"); |
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649 |
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650 if (argr.columns () != n || argu.rows () != n || argu.columns () != 1) |
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651 error ("cholupdate: dimension mismatch between R and U"); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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|
652 |
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653 int err = 0; |
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654 if (argr.is_single_type () || argu.is_single_type ()) |
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655 { |
23582
0cc2011d800e
maint: Deprecate is_real_type and replace with isreal.
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|
656 if (argr.isreal () && argu.isreal ()) |
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657 { |
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|
658 // real case |
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|
659 FloatMatrix R = argr.float_matrix_value (); |
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660 FloatColumnVector u = argu.float_column_vector_value (); |
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Second set of single precision test code and fix of resulting bugs
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661 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
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|
662 octave::math::chol<FloatMatrix> fact; |
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663 fact.set (R); |
20851
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|
664 |
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665 if (down) |
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666 err = fact.downdate (u); |
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667 else |
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|
668 fact.update (u); |
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|
669 |
20939
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|
670 retval = ovl (get_chol_r (fact)); |
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|
671 } |
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|
672 else |
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|
673 { |
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|
674 // complex case |
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|
675 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
27277
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|
676 FloatComplexColumnVector u |
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677 = argu.float_complex_column_vector_value (); |
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678 |
22317
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|
679 octave::math::chol<FloatComplexMatrix> fact; |
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680 fact.set (R); |
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|
681 |
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682 if (down) |
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683 err = fact.downdate (u); |
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|
684 else |
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|
685 fact.update (u); |
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|
686 |
20939
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|
687 retval = ovl (get_chol_r (fact)); |
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|
688 } |
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|
689 } |
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|
690 else |
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|
691 { |
23582
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|
692 if (argr.isreal () && argu.isreal ()) |
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|
693 { |
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|
694 // real case |
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|
695 Matrix R = argr.matrix_value (); |
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|
696 ColumnVector u = argu.column_vector_value (); |
20851
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|
697 |
22317
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|
698 octave::math::chol<Matrix> fact; |
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|
699 fact.set (R); |
20851
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|
700 |
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|
701 if (down) |
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|
702 err = fact.downdate (u); |
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|
703 else |
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|
704 fact.update (u); |
20851
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|
705 |
20939
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maint: Use new C++ archetype in more files.
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diff
changeset
|
706 retval = ovl (get_chol_r (fact)); |
20863
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|
707 } |
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|
708 else |
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|
709 { |
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changeset
|
710 // complex case |
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|
711 ComplexMatrix R = argr.complex_matrix_value (); |
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|
712 ComplexColumnVector u = argu.complex_column_vector_value (); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
713 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
714 octave::math::chol<ComplexMatrix> fact; |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
715 fact.set (R); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
716 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
717 if (down) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
718 err = fact.downdate (u); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
719 else |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
720 fact.update (u); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
721 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
722 retval = ovl (get_chol_r (fact)); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
723 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
724 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
725 |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
726 if (nargout > 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
727 retval(1) = err; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
728 else if (err == 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
729 error ("cholupdate: downdate violates positiveness"); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
730 else if (err == 2) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
731 error ("cholupdate: singular matrix"); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
732 |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
733 return retval; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
734 } |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
735 |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
736 /* |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
737 %!shared A, u, Ac, uc |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
738 %! 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
|
739 %! -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
|
740 %! 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
|
741 %! -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
|
742 %! |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
743 %! u = [ 0.98950 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
744 %! 0.39844 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
745 %! 0.63484 ; |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
7515
diff
changeset
|
746 %! 0.13351 ]; |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
747 %! 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
|
748 %! -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
|
749 %! 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
|
750 %! -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
|
751 %! |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
752 %! 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
|
753 %! 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
|
754 %! 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
|
755 %! 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
|
756 |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
757 %!test |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
758 %! R = chol (A); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
759 %! R1 = cholupdate (R, u); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
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diff
changeset
|
760 %! 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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changeset
|
761 %! 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
|
762 %! |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
763 %! 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
|
764 %! 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
|
765 %! 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
|
766 |
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:
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diff
changeset
|
768 %! R = chol (Ac); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
769 %! R1 = cholupdate (R, 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), 0); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
771 %! 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
|
772 %! |
14501
60e5cf354d80
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Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
773 %! R1 = cholupdate (R1, uc, "-"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
774 %! 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
|
775 %! 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
|
776 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
777 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
778 %! R = chol (single (A)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
779 %! 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
|
780 %! 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
|
781 %! 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
|
782 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
783 %! 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
|
784 %! 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
|
785 %! 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
|
786 |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
787 %!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
|
788 %! 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
|
789 %! R1 = cholupdate (R, single (uc)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents:
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diff
changeset
|
790 %! 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
|
791 %! assert (norm (R1'*R1 - R'*R - single (uc*uc'), Inf) < 1e1*eps ("single")); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
792 %! |
14501
60e5cf354d80
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Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
793 %! 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
|
794 %! 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
|
795 %! assert (norm (R1 - R, Inf) < 2e1*eps ("single")); |
7554
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
796 */ |
40574114c514
implement Cholesky factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
797 |
28024
c28b8ba841fb
move sparse functions from dldfcn to corefcn directory (bug #57459)
John W. Eaton <jwe@octave.org>
parents:
27923
diff
changeset
|
798 DEFUN (cholinsert, args, nargout, |
c28b8ba841fb
move sparse functions from dldfcn to corefcn directory (bug #57459)
John W. Eaton <jwe@octave.org>
parents:
27923
diff
changeset
|
799 doc: /* -*- texinfo -*- |
21966
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
800 @deftypefn {} {@var{R1} =} cholinsert (@var{R}, @var{j}, @var{u}) |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
801 @deftypefnx {} {[@var{R1}, @var{info}] =} cholinsert (@var{R}, @var{j}, @var{u}) |
26046
ff0aa19333c9
doc: grammarcheck C++ files in libinterp/ directory.
Rik <rik@octave.org>
parents:
25113
diff
changeset
|
802 Update a Cholesky factorization given a row or column to insert in the |
ff0aa19333c9
doc: grammarcheck C++ files in libinterp/ directory.
Rik <rik@octave.org>
parents:
25113
diff
changeset
|
803 original factored matrix. |
25113
476fc012d09a
doc: Shorten very long first sentences of docstrings (bug #53388).
John W. Eaton <jwe@octave.org>
parents:
25054
diff
changeset
|
804 |
21966
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move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
805 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
806 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
807 triangular, return the Cholesky@tie{}factorization of |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
808 @var{A1}, where @w{A1(p,p) = A}, @w{A1(:,j) = A1(j,:)' = u} and |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
809 @w{p = [1:j-1,j+1:n+1]}. @w{u(j)} should be positive. |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
810 |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
811 On return, @var{info} is set to |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
812 |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
813 @itemize |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
814 @item 0 if the insertion was successful, |
112b20240c87
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
815 |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
816 @item 1 if @var{A1} is not positive definite, |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
817 |
112b20240c87
move docstrings in C++ files out of C strings and into comments
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parents:
21724
diff
changeset
|
818 @item 2 if @var{R} is singular. |
112b20240c87
move docstrings in C++ files out of C strings and into comments
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parents:
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diff
changeset
|
819 @end itemize |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
820 |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
821 If @var{info} is not present, an error message is printed in cases 1 and 2. |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
822 @seealso{chol, cholupdate, choldelete, cholshift} |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
823 @end deftypefn */) |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
824 { |
20818
cef0448a6ed2
eliminate unnecessary uses of nargin
John W. Eaton <jwe@octave.org>
parents:
20816
diff
changeset
|
825 if (args.length () != 3) |
20790
c2d9556d51d0
eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents:
20711
diff
changeset
|
826 print_usage (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
827 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
828 octave_value argr = args(0); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
829 octave_value argj = args(1); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
830 octave_value argu = args(2); |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
831 |
23586
f6c5db0a02e7
maint: Deprecate is_numeric_type and replace with isnumeric.
Rik <rik@octave.org>
parents:
23583
diff
changeset
|
832 if (! argr.isnumeric () || ! argu.isnumeric () |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
833 || ! argj.is_real_scalar ()) |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
834 print_usage (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
835 |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
836 octave_idx_type n = argr.rows (); |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
837 octave_idx_type j = argj.scalar_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
838 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
839 if (argr.columns () != n || argu.rows () != n+1 || argu.columns () != 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
840 error ("cholinsert: dimension mismatch between R and U"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
841 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
842 if (j < 1 || j > n+1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
843 error ("cholinsert: index J out of range"); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
844 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
845 octave_value_list retval (nargout == 2 ? 2 : 1); |
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
846 |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
847 int err = 0; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
848 if (argr.is_single_type () || argu.is_single_type ()) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
849 { |
23582
0cc2011d800e
maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents:
23581
diff
changeset
|
850 if (argr.isreal () && argu.isreal ()) |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
851 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
852 // real case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
853 FloatMatrix R = argr.float_matrix_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
854 FloatColumnVector u = argu.float_column_vector_value (); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
855 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
856 octave::math::chol<FloatMatrix> fact; |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
857 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
858 err = fact.insert_sym (u, j-1); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
859 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
860 retval = ovl (get_chol_r (fact)); |
7700
efccca5f2ad7
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parents:
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diff
changeset
|
861 } |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
862 else |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
863 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
864 // complex case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
865 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
27277
db687716fed6
style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents:
26376
diff
changeset
|
866 FloatComplexColumnVector u |
db687716fed6
style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents:
26376
diff
changeset
|
867 = argu.float_complex_column_vector_value (); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
868 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
869 octave::math::chol<FloatComplexMatrix> fact; |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
870 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
871 err = fact.insert_sym (u, j-1); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
872 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
873 retval = ovl (get_chol_r (fact)); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
874 } |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
875 } |
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
876 else |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
877 { |
23582
0cc2011d800e
maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents:
23581
diff
changeset
|
878 if (argr.isreal () && argu.isreal ()) |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
879 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
880 // real case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
881 Matrix R = argr.matrix_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
882 ColumnVector u = argu.column_vector_value (); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
883 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
884 octave::math::chol<Matrix> fact; |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
885 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
886 err = fact.insert_sym (u, j-1); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
887 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
888 retval = ovl (get_chol_r (fact)); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
889 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
890 else |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
891 { |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
892 // complex case |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
893 ComplexMatrix R = argr.complex_matrix_value (); |
27277
db687716fed6
style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents:
26376
diff
changeset
|
894 ComplexColumnVector u = argu.complex_column_vector_value (); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
895 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
896 octave::math::chol<ComplexMatrix> fact; |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
897 fact.set (R); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
898 err = fact.insert_sym (u, j-1); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
899 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
900 retval = ovl (get_chol_r (fact)); |
20863
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
901 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
902 } |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
903 |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
904 if (nargout > 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
905 retval(1) = err; |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
906 else if (err == 1) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
907 error ("cholinsert: insertion violates positiveness"); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
908 else if (err == 2) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
909 error ("cholinsert: singular matrix"); |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
910 else if (err == 3) |
e81276e8f481
2015 Code Sprint: chol.cc: use ovl().
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
911 error ("cholinsert: diagonal element must be real"); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
912 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
913 return retval; |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
914 } |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
915 |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
916 /* |
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
917 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
918 %! 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
|
919 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
920 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
921 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
922 %! 0.45266 ]; |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
923 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
924 %! R = chol (A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
925 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
926 %! 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
|
927 %! 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
|
928 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
929 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
930 %! 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
|
931 %! 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
|
932 |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
933 %!test |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
934 %! 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
|
935 %! 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
|
936 %! 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
|
937 %! -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
|
938 %! 0.45266 + 0.50020i]; |
7700
efccca5f2ad7
more QR & Cholesky updating functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7650
diff
changeset
|
939 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
940 %! R = chol (Ac); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
941 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
942 %! 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
|
943 %! 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
|
944 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
945 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
946 %! 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
|
947 %! 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
|
948 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
949 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
950 %! 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
|
951 %! 0.63930 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
952 %! 3.31057 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
953 %! -0.13825 ; |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
954 %! 0.45266 ]); |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
955 %! |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
956 %! R = chol (single (A)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
957 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
958 %! 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
|
959 %! 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
|
960 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
961 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
962 %! 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
|
963 %! 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
|
964 |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
965 %!test |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
966 %! 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
|
967 %! 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
|
968 %! 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
|
969 %! -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
|
970 %! 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
|
971 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
972 %! R = chol (single (Ac)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
973 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
974 %! 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
|
975 %! 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
|
976 %! A1 = R1'*R1; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
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 %! 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
|
979 %! 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
|
980 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
981 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
982 %! 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
|
983 %! 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
|
984 %! assert (cu, cl', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
985 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
986 %!test |
21568
3d60ed163b70
maint: Eliminate bad spacing around '='.
Rik <rik@octave.org>
parents:
21547
diff
changeset
|
987 %! cca = chol (Ac); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
988 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
989 %! ccal = chol (Ac, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
990 %! 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
|
991 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
992 %! ccau = chol (Ac, "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
993 %! 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
|
994 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
995 %! 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
|
996 %! 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
|
997 %! 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
|
998 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
999 %! assert (cca, ccal', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1000 %! assert (cca, ccau, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1001 %! assert (cca, ccal2', eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1002 %! assert (cca, ccau2, eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1003 |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1004 %!test |
21568
3d60ed163b70
maint: Eliminate bad spacing around '='.
Rik <rik@octave.org>
parents:
21547
diff
changeset
|
1005 %! cca = chol (single (Ac)); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1006 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1007 %! 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
|
1008 %! 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
|
1009 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1010 %! 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
|
1011 %! 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
|
1012 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1013 %! 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
|
1014 %! 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
|
1015 %! 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
|
1016 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1017 %! 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
|
1018 %! 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
|
1019 %! 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
|
1020 %! 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
|
1021 |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1022 %!test |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1023 %! 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
|
1024 %! 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
|
1025 %! 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
|
1026 %! 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
|
1027 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1028 %! 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
|
1029 %! -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
|
1030 %! -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
|
1031 %! -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
|
1032 %! |
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1033 %! ca = a + i*b; |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1034 %! |
21568
3d60ed163b70
maint: Eliminate bad spacing around '='.
Rik <rik@octave.org>
parents:
21547
diff
changeset
|
1035 %! cca = chol (ca); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1036 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1037 %! ccal = chol (ca, "lower"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1038 %! ccal2 = chol (tril (ca), "lower"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1039 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1040 %! ccau = chol (ca, "upper"); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1041 %! ccau2 = chol (triu (ca), "upper"); |
13953
642e43164af6
fix behavior of chol (..., 'lower') to be compatible with matlab
Carlo de Falco <kingcrimson@tiscali.it>
parents:
13915
diff
changeset
|
1042 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1043 %! assert (cca'*cca, ca, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1044 %! assert (ccau'*ccau, ca, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1045 %! 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
|
1046 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
1047 %! assert (cca, ccal', 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1048 %! assert (cca, ccau, 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14361
diff
changeset
|
1049 %! assert (cca, ccal2', 16*eps); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
1050 %! assert (cca, ccau2, 16*eps); |
7700
efccca5f2ad7
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diff
changeset
|
1051 */ |
efccca5f2ad7
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diff
changeset
|
1052 |
28024
c28b8ba841fb
move sparse functions from dldfcn to corefcn directory (bug #57459)
John W. Eaton <jwe@octave.org>
parents:
27923
diff
changeset
|
1053 DEFUN (choldelete, args, , |
c28b8ba841fb
move sparse functions from dldfcn to corefcn directory (bug #57459)
John W. Eaton <jwe@octave.org>
parents:
27923
diff
changeset
|
1054 doc: /* -*- texinfo -*- |
21966
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
1055 @deftypefn {} {@var{R1} =} choldelete (@var{R}, @var{j}) |
26046
ff0aa19333c9
doc: grammarcheck C++ files in libinterp/ directory.
Rik <rik@octave.org>
parents:
25113
diff
changeset
|
1056 Update a Cholesky factorization given a row or column to delete from the |
ff0aa19333c9
doc: grammarcheck C++ files in libinterp/ directory.
Rik <rik@octave.org>
parents:
25113
diff
changeset
|
1057 original factored matrix. |
25113
476fc012d09a
doc: Shorten very long first sentences of docstrings (bug #53388).
John W. Eaton <jwe@octave.org>
parents:
25054
diff
changeset
|
1058 |
21966
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
1059 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
1060 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
1061 triangular, return the Cholesky@tie{}factorization of @w{A(p,p)}, where |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
1062 @w{p = [1:j-1,j+1:n+1]}. |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
1063 @seealso{chol, cholupdate, cholinsert, cholshift} |
112b20240c87
move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents:
21724
diff
changeset
|
1064 @end deftypefn */) |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
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diff
changeset
|
1065 { |
20818
cef0448a6ed2
eliminate unnecessary uses of nargin
John W. Eaton <jwe@octave.org>
parents:
20816
diff
changeset
|
1066 if (args.length () != 2) |
20790
c2d9556d51d0
eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents:
20711
diff
changeset
|
1067 print_usage (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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diff
changeset
|
1068 |
efccca5f2ad7
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diff
changeset
|
1069 octave_value argr = args(0); |
efccca5f2ad7
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diff
changeset
|
1070 octave_value argj = args(1); |
efccca5f2ad7
more QR & Cholesky updating functions
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diff
changeset
|
1071 |
23586
f6c5db0a02e7
maint: Deprecate is_numeric_type and replace with isnumeric.
Rik <rik@octave.org>
parents:
23583
diff
changeset
|
1072 if (! argr.isnumeric () || ! argj.is_real_scalar ()) |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
1073 print_usage (); |
7700
efccca5f2ad7
more QR & Cholesky updating functions
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parents:
7650
diff
changeset
|
1074 |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
1075 octave_idx_type n = argr.rows (); |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
1076 octave_idx_type j = argj.scalar_value (); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1077 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
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diff
changeset
|
1078 if (argr.columns () != n) |
21110
3d0d84305600
Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents:
21100
diff
changeset
|
1079 err_square_matrix_required ("choldelete", "R"); |
7700
efccca5f2ad7
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diff
changeset
|
1080 |
20939
b17fda023ca6
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Rik <rik@octave.org>
parents:
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diff
changeset
|
1081 if (j < 0 && j > n) |
b17fda023ca6
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Rik <rik@octave.org>
parents:
20898
diff
changeset
|
1082 error ("choldelete: index J out of range"); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1083 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20898
diff
changeset
|
1084 octave_value_list retval; |
7700
efccca5f2ad7
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parents:
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diff
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|
1085 |
20939
b17fda023ca6
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parents:
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diff
changeset
|
1086 if (argr.is_single_type ()) |
b17fda023ca6
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parents:
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diff
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|
1087 { |
23582
0cc2011d800e
maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents:
23581
diff
changeset
|
1088 if (argr.isreal ()) |
20939
b17fda023ca6
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parents:
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|
1089 { |
b17fda023ca6
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diff
changeset
|
1090 // real case |
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parents:
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diff
changeset
|
1091 FloatMatrix R = argr.float_matrix_value (); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
1092 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
1093 octave::math::chol<FloatMatrix> fact; |
20939
b17fda023ca6
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parents:
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diff
changeset
|
1094 fact.set (R); |
b17fda023ca6
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parents:
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diff
changeset
|
1095 fact.delete_sym (j-1); |
20851
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
parents:
20818
diff
changeset
|
1096 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
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parents:
20898
diff
changeset
|
1097 retval = ovl (get_chol_r (fact)); |
7700
efccca5f2ad7
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changeset
|
1098 } |
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diff
changeset
|
1099 else |
20939
b17fda023ca6
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Rik <rik@octave.org>
parents:
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diff
changeset
|
1100 { |
b17fda023ca6
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diff
changeset
|
1101 // complex case |
b17fda023ca6
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Rik <rik@octave.org>
parents:
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diff
changeset
|
1102 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
b17fda023ca6
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Rik <rik@octave.org>
parents:
20898
diff
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|
1103 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
1104 octave::math::chol<FloatComplexMatrix> fact; |
20939
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parents:
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diff
changeset
|
1105 fact.set (R); |
b17fda023ca6
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diff
changeset
|
1106 fact.delete_sym (j-1); |
b17fda023ca6
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parents:
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diff
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|
1107 |
b17fda023ca6
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20898
diff
changeset
|
1108 retval = ovl (get_chol_r (fact)); |
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|
1109 } |
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changeset
|
1110 } |
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diff
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|
1111 else |
20939
b17fda023ca6
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Rik <rik@octave.org>
parents:
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diff
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|
1112 { |
23582
0cc2011d800e
maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents:
23581
diff
changeset
|
1113 if (argr.isreal ()) |
20939
b17fda023ca6
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parents:
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diff
changeset
|
1114 { |
b17fda023ca6
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parents:
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diff
changeset
|
1115 // real case |
b17fda023ca6
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diff
changeset
|
1116 Matrix R = argr.matrix_value (); |
b17fda023ca6
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changeset
|
1117 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1118 octave::math::chol<Matrix> fact; |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
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diff
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|
1119 fact.set (R); |
b17fda023ca6
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diff
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|
1120 fact.delete_sym (j-1); |
b17fda023ca6
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diff
changeset
|
1121 |
b17fda023ca6
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diff
changeset
|
1122 retval = ovl (get_chol_r (fact)); |
b17fda023ca6
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parents:
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diff
changeset
|
1123 } |
b17fda023ca6
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parents:
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diff
changeset
|
1124 else |
b17fda023ca6
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parents:
20898
diff
changeset
|
1125 { |
b17fda023ca6
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diff
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|
1126 // complex case |
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parents:
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diff
changeset
|
1127 ComplexMatrix R = argr.complex_matrix_value (); |
b17fda023ca6
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|
1128 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
22280
diff
changeset
|
1129 octave::math::chol<ComplexMatrix> fact; |
20939
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diff
changeset
|
1130 fact.set (R); |
b17fda023ca6
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changeset
|
1131 fact.delete_sym (j-1); |
b17fda023ca6
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diff
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|
1132 |
b17fda023ca6
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20898
diff
changeset
|
1133 retval = ovl (get_chol_r (fact)); |
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diff
changeset
|
1134 } |
b17fda023ca6
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20898
diff
changeset
|
1135 } |
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diff
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|
1136 |
efccca5f2ad7
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diff
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|
1137 return retval; |
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diff
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|
1138 } |
efccca5f2ad7
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diff
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|
1139 |
efccca5f2ad7
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diff
changeset
|
1140 /* |
efccca5f2ad7
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diff
changeset
|
1141 %!test |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
1142 %! R = chol (A); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1143 %! |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
1144 %! j = 3; p = [1:j-1,j+1:4]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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changeset
|
1145 %! R1 = choldelete (R, j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11553
diff
changeset
|
1146 %! |
14501
60e5cf354d80
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diff
changeset
|
1147 %! 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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changeset
|
1148 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1149 |
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
7789
diff
changeset
|
1150 %!test |
14501
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changeset
|
1151 %! R = chol (Ac); |
60e5cf354d80
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diff
changeset
|
1152 %! |
60e5cf354d80
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parents:
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diff
changeset
|
1153 %! j = 3; p = [1:j-1,j+1:4]; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
1154 %! R1 = choldelete (R, j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
1155 %! |
14501
60e5cf354d80
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Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
1156 %! 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
|
1157 %! assert (norm (R1'*R1 - Ac(p,p), 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
|
1158 |
60e5cf354d80
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parents:
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diff
changeset
|
1159 %!test |
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Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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|
1160 %! R = chol (single (A)); |
11586
12df7854fa7c
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John W. Eaton <jwe@octave.org>
parents:
11553
diff
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|
1161 %! |
14501
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parents:
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diff
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|
1162 %! j = 3; p = [1:j-1,j+1:4]; |
60e5cf354d80
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Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
1163 %! R1 = choldelete (R, j); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
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diff
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|
1164 %! |
14501
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Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
1165 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
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diff
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|
1166 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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Rik <octave@nomad.inbox5.com>
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|
1167 |
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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|
1168 %!test |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
1169 %! R = chol (single (Ac)); |
11586
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John W. Eaton <jwe@octave.org>
parents:
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diff
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|
1170 %! |
14501
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Rik <octave@nomad.inbox5.com>
parents:
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|
1171 %! j = 3; p = [1:j-1,j+1:4]; |
14854
5ae9f0f77635
maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
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|
1172 %! R1 = choldelete (R,j); |
11586
12df7854fa7c
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John W. Eaton <jwe@octave.org>
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|
1173 %! |
14501
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|
1174 %! assert (norm (triu (R1)-R1, Inf), single (0)); |
60e5cf354d80
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Rik <octave@nomad.inbox5.com>
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|
1175 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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|
1176 */ |
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1177 |
28024
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John W. Eaton <jwe@octave.org>
parents:
27923
diff
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|
1178 DEFUN (cholshift, args, , |
c28b8ba841fb
move sparse functions from dldfcn to corefcn directory (bug #57459)
John W. Eaton <jwe@octave.org>
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|
1179 doc: /* -*- texinfo -*- |
21966
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move docstrings in C++ files out of C strings and into comments
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diff
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|
1180 @deftypefn {} {@var{R1} =} cholshift (@var{R}, @var{i}, @var{j}) |
26046
ff0aa19333c9
doc: grammarcheck C++ files in libinterp/ directory.
Rik <rik@octave.org>
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25113
diff
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|
1181 Update a Cholesky factorization given a range of columns to shift in the |
ff0aa19333c9
doc: grammarcheck C++ files in libinterp/ directory.
Rik <rik@octave.org>
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25113
diff
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|
1182 original factored matrix. |
25113
476fc012d09a
doc: Shorten very long first sentences of docstrings (bug #53388).
John W. Eaton <jwe@octave.org>
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25054
diff
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|
1183 |
21966
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move docstrings in C++ files out of C strings and into comments
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|
1184 Given a Cholesky@tie{}factorization of a real symmetric or complex Hermitian |
112b20240c87
move docstrings in C++ files out of C strings and into comments
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|
1185 positive definite matrix @w{@var{A} = @var{R}'*@var{R}}, @var{R}@tie{}upper |
112b20240c87
move docstrings in C++ files out of C strings and into comments
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|
1186 triangular, return the Cholesky@tie{}factorization of |
112b20240c87
move docstrings in C++ files out of C strings and into comments
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|
1187 @w{@var{A}(p,p)}, where @w{p} is the permutation @* |
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move docstrings in C++ files out of C strings and into comments
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|
1188 @code{p = [1:i-1, shift(i:j, 1), j+1:n]} if @w{@var{i} < @var{j}} @* |
112b20240c87
move docstrings in C++ files out of C strings and into comments
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|
1189 or @* |
112b20240c87
move docstrings in C++ files out of C strings and into comments
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|
1190 @code{p = [1:j-1, shift(j:i,-1), i+1:n]} if @w{@var{j} < @var{i}}. @* |
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move docstrings in C++ files out of C strings and into comments
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|
1191 |
112b20240c87
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21724
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|
1192 @seealso{chol, cholupdate, cholinsert, choldelete} |
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move docstrings in C++ files out of C strings and into comments
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1193 @end deftypefn */) |
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1194 { |
20818
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eliminate unnecessary uses of nargin
John W. Eaton <jwe@octave.org>
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20816
diff
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|
1195 if (args.length () != 3) |
20790
c2d9556d51d0
eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
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20711
diff
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|
1196 print_usage (); |
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|
1197 |
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1198 octave_value argr = args(0); |
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1199 octave_value argi = args(1); |
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1200 octave_value argj = args(2); |
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|
1201 |
23586
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maint: Deprecate is_numeric_type and replace with isnumeric.
Rik <rik@octave.org>
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23583
diff
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|
1202 if (! argr.isnumeric () || ! argi.is_real_scalar () |
20851
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|
1203 || ! argj.is_real_scalar ()) |
0828bf20d105
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Mike Miller <mtmiller@octave.org>
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|
1204 print_usage (); |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
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changeset
|
1205 |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
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diff
changeset
|
1206 octave_idx_type n = argr.rows (); |
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maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
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|
1207 octave_idx_type i = argi.scalar_value (); |
0828bf20d105
maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
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|
1208 octave_idx_type j = argj.scalar_value (); |
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|
1209 |
20939
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|
1210 if (argr.columns () != n) |
21110
3d0d84305600
Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents:
21100
diff
changeset
|
1211 err_square_matrix_required ("cholshift", "R"); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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|
1212 |
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|
1213 if (j < 0 || j > n+1 || i < 0 || i > n+1) |
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|
1214 error ("cholshift: index I or J is out of range"); |
7814
87865ed7405f
Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents:
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|
1215 |
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|
1216 octave_value_list retval; |
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1217 |
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|
1218 if (argr.is_single_type () && argi.is_single_type () |
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|
1219 && argj.is_single_type ()) |
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|
1220 { |
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Rik <rik@octave.org>
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23581
diff
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|
1221 if (argr.isreal ()) |
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|
1222 { |
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|
1223 // real case |
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changeset
|
1224 FloatMatrix R = argr.float_matrix_value (); |
20851
0828bf20d105
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Mike Miller <mtmiller@octave.org>
parents:
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diff
changeset
|
1225 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
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22280
diff
changeset
|
1226 octave::math::chol<FloatMatrix> fact; |
20939
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diff
changeset
|
1227 fact.set (R); |
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diff
changeset
|
1228 fact.shift_sym (i-1, j-1); |
20851
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maint: Refactor C++ calls to print_usage to resemble m-files (2015 code sprint)
Mike Miller <mtmiller@octave.org>
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diff
changeset
|
1229 |
20939
b17fda023ca6
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changeset
|
1230 retval = ovl (get_chol_r (fact)); |
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|
1231 } |
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|
1232 else |
20939
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|
1233 { |
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changeset
|
1234 // complex case |
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diff
changeset
|
1235 FloatComplexMatrix R = argr.float_complex_matrix_value (); |
b17fda023ca6
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|
1236 |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1237 octave::math::chol<FloatComplexMatrix> fact; |
20939
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diff
changeset
|
1238 fact.set (R); |
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changeset
|
1239 fact.shift_sym (i-1, j-1); |
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diff
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|
1240 |
b17fda023ca6
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changeset
|
1241 retval = ovl (get_chol_r (fact)); |
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|
1242 } |
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|
1243 } |
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|
1244 else |
20939
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|
1245 { |
23582
0cc2011d800e
maint: Deprecate is_real_type and replace with isreal.
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changeset
|
1246 if (argr.isreal ()) |
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|
1247 { |
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|
1248 // real case |
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changeset
|
1249 Matrix R = argr.matrix_value (); |
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changeset
|
1250 |
22317
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move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1251 octave::math::chol<Matrix> fact; |
20939
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diff
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|
1252 fact.set (R); |
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changeset
|
1253 fact.shift_sym (i-1, j-1); |
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|
1254 |
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changeset
|
1255 retval = ovl (get_chol_r (fact)); |
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|
1256 } |
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changeset
|
1257 else |
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changeset
|
1258 { |
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changeset
|
1259 // complex case |
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changeset
|
1260 ComplexMatrix R = argr.complex_matrix_value (); |
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|
1261 |
22317
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move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1262 octave::math::chol<ComplexMatrix> fact; |
20939
b17fda023ca6
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diff
changeset
|
1263 fact.set (R); |
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changeset
|
1264 fact.shift_sym (i-1, j-1); |
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diff
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|
1265 |
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changeset
|
1266 retval = ovl (get_chol_r (fact)); |
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|
1267 } |
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|
1268 } |
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|
1269 |
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changeset
|
1270 return retval; |
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|
1271 } |
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|
1272 |
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|
1273 /* |
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1274 %!test |
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1275 %! R = chol (A); |
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1276 %! |
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1277 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1278 %! R1 = cholshift (R, i, j); |
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1279 %! |
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1280 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1281 %! assert (norm (R1'*R1 - A(p,p), Inf) < 1e1*eps); |
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1282 %! |
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1283 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+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); |
5ae9f0f77635
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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 %!test |
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1290 %! R = chol (Ac); |
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1291 %! |
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1292 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1293 %! R1 = cholshift (R, i, j); |
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1294 %! |
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1295 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1296 %! assert (norm (R1'*R1 - Ac(p,p), Inf) < 1e1*eps); |
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1297 %! |
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1298 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+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); |
7814
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|
1303 |
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1304 %!test |
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1305 %! R = chol (single (A)); |
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1306 %! |
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1307 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1308 %! R1 = cholshift (R, i, j); |
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1309 %! |
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1310 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1311 %! assert (norm (R1'*R1 - single (A(p,p)), Inf) < 1e1*eps ("single")); |
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1312 %! |
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1313 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+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 %!test |
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1320 %! R = chol (single (Ac)); |
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1321 %! |
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1322 %! i = 1; j = 3; p = [1:i-1, shift(i:j,-1), j+1:4]; |
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1323 %! R1 = cholshift (R, i, j); |
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1324 %! |
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1325 %! assert (norm (triu (R1)-R1, Inf), 0); |
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1326 %! assert (norm (R1'*R1 - single (Ac(p,p)), Inf) < 1e1*eps ("single")); |
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1327 %! |
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1328 %! j = 1; i = 3; p = [1:j-1, shift(j:i,+1), i+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 |
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1335 OCTAVE_NAMESPACE_END |