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maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
parents 5fa482628bf6
children 97883071e8e4
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1 /*
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2
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3 Copyright (C) 1996-2012 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
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27 #include "CmplxLU.h"
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28 #include "dbleLU.h"
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29 #include "fCmplxLU.h"
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30 #include "floatLU.h"
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31 #include "SparseCmplxLU.h"
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32 #include "SparsedbleLU.h"
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33
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34 #include "defun-dld.h"
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35 #include "error.h"
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36 #include "gripes.h"
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37 #include "oct-obj.h"
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38 #include "utils.h"
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39 #include "ov-re-sparse.h"
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40 #include "ov-cx-sparse.h"
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41
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42 template <class MT>
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43 static octave_value
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44 get_lu_l (const base_lu<MT>& fact)
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45 {
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46 MT L = fact.L ();
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47 if (L.is_square ())
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48 return octave_value (L, MatrixType (MatrixType::Lower));
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49 else
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50 return L;
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51 }
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52
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53 template <class MT>
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54 static octave_value
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55 get_lu_u (const base_lu<MT>& fact)
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56 {
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57 MT U = fact.U ();
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58 if (U.is_square () && fact.regular ())
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59 return octave_value (U, MatrixType (MatrixType::Upper));
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60 else
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61 return U;
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62 }
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63
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64 DEFUN_DLD (lu, args, nargout,
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65 "-*- texinfo -*-\n\
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66 @deftypefn {Loadable Function} {[@var{L}, @var{U}] =} lu (@var{A})\n\
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67 @deftypefnx {Loadable Function} {[@var{L}, @var{U}, @var{P}] =} lu (@var{A})\n\
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68 @deftypefnx {Loadable Function} {[@var{L}, @var{U}, @var{P}, @var{Q}] =} lu (@var{S})\n\
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69 @deftypefnx {Loadable Function} {[@var{L}, @var{U}, @var{P}, @var{Q}, @var{R}] =} lu (@var{S})\n\
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70 @deftypefnx {Loadable Function} {[@dots{}] =} lu (@var{S}, @var{thres})\n\
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71 @deftypefnx {Loadable Function} {@var{y} =} lu (@dots{})\n\
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72 @deftypefnx {Loadable Function} {[@dots{}] =} lu (@dots{}, 'vector')\n\
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73 @cindex LU decomposition\n\
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74 Compute the LU@tie{}decomposition of @var{A}. If @var{A} is full\n\
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75 subroutines from\n\
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76 @sc{lapack} are used and if @var{A} is sparse then @sc{umfpack} is used. The\n\
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77 result is returned in a permuted form, according to the optional return\n\
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78 value @var{P}. For example, given the matrix @code{a = [1, 2; 3, 4]},\n\
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79 \n\
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80 @example\n\
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81 [l, u, p] = lu (@var{a})\n\
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82 @end example\n\
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83 \n\
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84 @noindent\n\
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85 returns\n\
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86 \n\
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87 @example\n\
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88 @group\n\
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89 l =\n\
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90 \n\
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91 1.00000 0.00000\n\
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92 0.33333 1.00000\n\
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93 \n\
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94 u =\n\
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95 \n\
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96 3.00000 4.00000\n\
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97 0.00000 0.66667\n\
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98 \n\
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99 p =\n\
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100 \n\
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101 0 1\n\
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102 1 0\n\
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103 @end group\n\
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104 @end example\n\
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105 \n\
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106 The matrix is not required to be square.\n\
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107 \n\
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108 When called with two or three output arguments and a spare input matrix,\n\
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109 @code{lu} does not attempt to perform sparsity preserving column\n\
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110 permutations. Called with a fourth output argument, the sparsity\n\
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111 preserving column transformation @var{Q} is returned, such that\n\
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112 @code{@var{P} * @var{A} * @var{Q} = @var{L} * @var{U}}.\n\
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113 \n\
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114 Called with a fifth output argument and a sparse input matrix,\n\
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115 @code{lu} attempts to use a scaling factor @var{R} on the input matrix\n\
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116 such that\n\
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117 @code{@var{P} * (@var{R} \\ @var{A}) * @var{Q} = @var{L} * @var{U}}.\n\
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118 This typically leads to a sparser and more stable factorization.\n\
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119 \n\
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120 An additional input argument @var{thres}, that defines the pivoting\n\
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121 threshold can be given. @var{thres} can be a scalar, in which case\n\
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122 it defines the @sc{umfpack} pivoting tolerance for both symmetric and\n\
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123 unsymmetric cases. If @var{thres} is a 2-element vector, then the first\n\
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124 element defines the pivoting tolerance for the unsymmetric @sc{umfpack}\n\
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125 pivoting strategy and the second for the symmetric strategy. By default,\n\
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126 the values defined by @code{spparms} are used ([0.1, 0.001]).\n\
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127 \n\
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128 Given the string argument 'vector', @code{lu} returns the values of @var{P}\n\
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129 and @var{Q} as vector values, such that for full matrix, @code{@var{A}\n\
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130 (@var{P},:) = @var{L} * @var{U}}, and @code{@var{R}(@var{P},:) * @var{A}\n\
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131 (:, @var{Q}) = @var{L} * @var{U}}.\n\
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132 \n\
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133 With two output arguments, returns the permuted forms of the upper and\n\
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134 lower triangular matrices, such that @code{@var{A} = @var{L} * @var{U}}.\n\
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135 With one output argument @var{y}, then the matrix returned by the @sc{lapack}\n\
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136 routines is returned. If the input matrix is sparse then the matrix @var{L}\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
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diff changeset
137 is embedded into @var{U} to give a return value similar to the full case.\n\
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138 For both full and sparse matrices, @code{lu} loses the permutation\n\
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139 information.\n\
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140 @end deftypefn")
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141 {
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142 octave_value_list retval;
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143 int nargin = args.length ();
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144 bool issparse = (nargin > 0 && args(0).is_sparse_type ());
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145 bool scale = (nargout == 5);
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146
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147 if (nargin < 1 || (issparse && (nargin > 3 || nargout > 5))
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148 || (!issparse && (nargin > 2 || nargout > 3)))
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149 {
5823
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diff changeset
150 print_usage ();
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151 return retval;
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152 }
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153
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154 bool vecout = false;
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155 Matrix thres;
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156
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157 int n = 1;
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158 while (n < nargin && ! error_state)
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159 {
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160 if (args (n).is_string ())
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161 {
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162 std::string tmp = args(n++).string_value ();
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163
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164 if (! error_state )
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165 {
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166 if (tmp.compare ("vector") == 0)
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167 vecout = true;
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168 else
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169 error ("lu: unrecognized string argument");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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170 }
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171 }
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172 else
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173 {
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174 Matrix tmp = args(n++).matrix_value ();
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175
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176 if (! error_state )
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177 {
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178 if (!issparse)
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179 error ("lu: can not define pivoting threshold THRES for full matrices");
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180 else if (tmp.nelem () == 1)
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181 {
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182 thres.resize(1,2);
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183 thres(0) = tmp(0);
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184 thres(1) = tmp(0);
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diff changeset
185 }
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186 else if (tmp.nelem () == 2)
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diff changeset
187 thres = tmp;
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diff changeset
188 else
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diff changeset
189 error ("lu: expecting 2-element vector for THRES");
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190 }
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191 }
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192 }
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193
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194 octave_value arg = args(0);
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diff changeset
195
5275
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196 octave_idx_type nr = arg.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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diff changeset
197 octave_idx_type nc = arg.columns ();
2928
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198
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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diff changeset
199 int arg_is_empty = empty_arg ("lu", nr, nc);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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diff changeset
200
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diff changeset
201 if (issparse)
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
202 {
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
203 if (arg_is_empty < 0)
10154
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diff changeset
204 return retval;
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diff changeset
205 else if (arg_is_empty > 0)
10154
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diff changeset
206 return octave_value_list (5, SparseMatrix ());
7515
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diff changeset
207
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
208 ColumnVector Qinit;
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
209 if (nargout < 4)
10154
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diff changeset
210 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
211 Qinit.resize (nc);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
212 for (octave_idx_type i = 0; i < nc; i++)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
213 Qinit (i) = i;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
214 }
7515
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diff changeset
215
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
216 if (arg.is_real_type ())
10154
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diff changeset
217 {
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diff changeset
218 SparseMatrix m = arg.sparse_matrix_value ();
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diff changeset
219
10154
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diff changeset
220 switch (nargout)
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diff changeset
221 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
222 case 0:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
223 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
224 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
225 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
226 SparseLU fact (m, Qinit, thres, false, true);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
227
10154
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diff changeset
228 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
229 retval (0) = fact.Y ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
230 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
231 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
232 PermMatrix P = fact.Pr_mat ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
233 SparseMatrix L = P.transpose () * fact.L ();
11586
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diff changeset
234 retval(1) = octave_value (fact.U (),
10154
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diff changeset
235 MatrixType (MatrixType::Upper));
7515
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diff changeset
236
11586
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diff changeset
237 retval(0) = octave_value (L,
12df7854fa7c strip trailing whitespace from source files
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diff changeset
238 MatrixType (MatrixType::Permuted_Lower,
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
239 nr, fact.row_perm ()));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
240 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
241 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
242 break;
2928
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parents:
diff changeset
243
10154
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diff changeset
244 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
245 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
246 SparseLU fact (m, Qinit, thres, false, true);
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diff changeset
247
10154
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diff changeset
248 if (vecout)
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diff changeset
249 retval (2) = fact.Pr_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
250 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
251 retval(2) = fact.Pr_mat ();
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diff changeset
252
11586
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diff changeset
253 retval(1) = octave_value (fact.U (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
254 MatrixType (MatrixType::Upper));
11586
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diff changeset
255 retval(0) = octave_value (fact.L (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
256 MatrixType (MatrixType::Lower));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
257 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
258 break;
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diff changeset
259
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
260 case 4:
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diff changeset
261 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
262 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
263 SparseLU fact (m, thres, scale);
2928
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diff changeset
264
10154
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diff changeset
265 if (scale)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
266 retval(4) = fact.R ();
7515
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diff changeset
267
10154
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diff changeset
268 if (vecout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
269 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
270 retval(3) = fact.Pc_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
271 retval(2) = fact.Pr_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
272 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
273 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
274 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
275 retval(3) = fact.Pc_mat ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
276 retval(2) = fact.Pr_mat ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
277 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
278 retval(1) = octave_value (fact.U (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
279 MatrixType (MatrixType::Upper));
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
280 retval(0) = octave_value (fact.L (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
281 MatrixType (MatrixType::Lower));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
282 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
283 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
284 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
285 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
286 else if (arg.is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
287 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
288 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
289
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
290 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
291 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
292 case 0:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
293 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
294 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
295 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
296 SparseComplexLU fact (m, Qinit, thres, false, true);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
297
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
298 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
299 retval (0) = fact.Y ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
300 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
301 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
302 PermMatrix P = fact.Pr_mat ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
303 SparseComplexMatrix L = P.transpose () * fact.L ();
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
304 retval(1) = octave_value (fact.U (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
305 MatrixType (MatrixType::Upper));
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
306
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
307 retval(0) = octave_value (L,
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
308 MatrixType (MatrixType::Permuted_Lower,
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
309 nr, fact.row_perm ()));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
310 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
311 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
312 break;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
313
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
314 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
315 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
316 SparseComplexLU fact (m, Qinit, thres, false, true);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
317
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
318 if (vecout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
319 retval (2) = fact.Pr_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
320 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
321 retval(2) = fact.Pr_mat ();
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
322
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
323 retval(1) = octave_value (fact.U (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
324 MatrixType (MatrixType::Upper));
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
325 retval(0) = octave_value (fact.L (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
326 MatrixType (MatrixType::Lower));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
327 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
328 break;
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
329
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
330 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
331 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
332 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
333 SparseComplexLU fact (m, thres, scale);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
334
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
335 if (scale)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
336 retval(4) = fact.R ();
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
337
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
338 if (vecout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
339 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
340 retval(3) = fact.Pc_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
341 retval(2) = fact.Pr_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
342 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
343 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
344 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
345 retval(3) = fact.Pc_mat ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
346 retval(2) = fact.Pr_mat ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
347 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
348 retval(1) = octave_value (fact.U (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
349 MatrixType (MatrixType::Upper));
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
350 retval(0) = octave_value (fact.L (),
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
351 MatrixType (MatrixType::Lower));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
352 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
353 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
354 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
355 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
356 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
357 gripe_wrong_type_arg ("lu", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
358 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
359 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
360 {
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
361 if (arg_is_empty < 0)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
362 return retval;
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
363 else if (arg_is_empty > 0)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
364 return octave_value_list (3, Matrix ());
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
365
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
366 if (arg.is_real_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
367 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
368 if (arg.is_single_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
369 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
370 FloatMatrix m = arg.float_matrix_value ();
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
371
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
372 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
373 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
374 FloatLU fact (m);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
375
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
376 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
377 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
378 case 0:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
379 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
380 retval(0) = fact.Y ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
381 break;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
382
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
383 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
384 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
385 PermMatrix P = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
386 FloatMatrix L = P.transpose () * fact.L ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
387 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
388 retval(0) = L;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
389 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
390 break;
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
391
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
392 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
393 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
394 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
395 if (vecout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
396 retval(2) = fact.P_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
397 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
398 retval(2) = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
399 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
400 retval(0) = get_lu_l (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
401 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
402 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
403 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
404 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
405 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
406 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
407 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
408 Matrix m = arg.matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
409
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
410 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
411 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
412 LU fact (m);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
413
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
414 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
415 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
416 case 0:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
417 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
418 retval(0) = fact.Y ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
419 break;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
420
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
421 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
422 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
423 PermMatrix P = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
424 Matrix L = P.transpose () * fact.L ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
425 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
426 retval(0) = L;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
427 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
428 break;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
429
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
430 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
431 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
432 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
433 if (vecout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
434 retval(2) = fact.P_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
435 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
436 retval(2) = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
437 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
438 retval(0) = get_lu_l (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
439 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
440 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
441 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
442 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
443 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
444 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
445 else if (arg.is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
446 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
447 if (arg.is_single_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
448 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
449 FloatComplexMatrix m = arg.float_complex_matrix_value ();
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
450
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
451 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
452 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
453 FloatComplexLU fact (m);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
454
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
455 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
456 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
457 case 0:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
458 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
459 retval(0) = fact.Y ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
460 break;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
461
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
462 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
463 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
464 PermMatrix P = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
465 FloatComplexMatrix L = P.transpose () * fact.L ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
466 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
467 retval(0) = L;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
468 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
469 break;
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
470
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
471 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
472 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
473 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
474 if (vecout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
475 retval(2) = fact.P_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
476 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
477 retval(2) = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
478 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
479 retval(0) = get_lu_l (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
480 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
481 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
482 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
483 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
484 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
485 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
486 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
487 ComplexMatrix m = arg.complex_matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
488
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
489 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
490 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
491 ComplexLU fact (m);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
492
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
493 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
494 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
495 case 0:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
496 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
497 retval(0) = fact.Y ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
498 break;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
499
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
500 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
501 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
502 PermMatrix P = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
503 ComplexMatrix L = P.transpose () * fact.L ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
504 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
505 retval(0) = L;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
506 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
507 break;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7515
diff changeset
508
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
509 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
510 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
511 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
512 if (vecout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
513 retval(2) = fact.P_vec ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
514 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
515 retval(2) = fact.P ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
516 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
517 retval(0) = get_lu_l (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
518 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
519 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
520 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
521 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
522 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
523 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
524 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
525 gripe_wrong_type_arg ("lu", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
526 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
527
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
528 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
529 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
530
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
531 /*
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
532
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
533 %!assert(lu ([1, 2; 3, 4]), [3, 4; 1/3, 2/3], eps);
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
534
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
535 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
536 %! [l, u] = lu ([1, 2; 3, 4]);
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
537 %! assert(l, [1/3, 1; 1, 0], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
538 %! assert(u, [3, 4; 0, 2/3], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
539
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
540 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
541 %! [l, u, p] = lu ([1, 2; 3, 4]);
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
542 %! assert(l, [1, 0; 1/3, 1], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
543 %! assert(u, [3, 4; 0, 2/3], sqrt (eps));
8367
445d27d79f4e support permutation matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7814
diff changeset
544 %! assert(p(:,:), [0, 1; 1, 0], sqrt (eps));
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
545
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
546 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
547 %! [l, u, p] = lu ([1, 2; 3, 4],'vector');
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
548 %! assert(l, [1, 0; 1/3, 1], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
549 %! assert(u, [3, 4; 0, 2/3], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
550 %! assert(p, [2;1], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
551
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
552 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
553 %! [l u p] = lu ([1, 2; 3, 4; 5, 6]);
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
554 %! assert(l, [1, 0; 1/5, 1; 3/5, 1/2], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
555 %! assert(u, [5, 6; 0, 4/5], sqrt (eps));
8367
445d27d79f4e support permutation matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7814
diff changeset
556 %! assert(p(:,:), [0, 0, 1; 1, 0, 0; 0 1 0], sqrt (eps));
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
557
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
558 %!assert(lu (single([1, 2; 3, 4])), single([3, 4; 1/3, 2/3]), eps('single'));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
559
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
560 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
561 %! [l, u] = lu (single([1, 2; 3, 4]));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
562 %! assert(l, single([1/3, 1; 1, 0]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
563 %! assert(u, single([3, 4; 0, 2/3]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs
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diff changeset
564
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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diff changeset
565 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
566 %! [l, u, p] = lu (single([1, 2; 3, 4]));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
567 %! assert(l, single([1, 0; 1/3, 1]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
568 %! assert(u, single([3, 4; 0, 2/3]), sqrt (eps('single')));
8367
445d27d79f4e support permutation matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7814
diff changeset
569 %! assert(p(:,:), single([0, 1; 1, 0]), sqrt (eps('single')));
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
570
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
571 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
572 %! [l, u, p] = lu (single([1, 2; 3, 4]),'vector');
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
573 %! assert(l, single([1, 0; 1/3, 1]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
574 %! assert(u, single([3, 4; 0, 2/3]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
575 %! assert(p, single([2;1]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
576
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
577 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
578 %! [l u p] = lu (single([1, 2; 3, 4; 5, 6]));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
579 %! assert(l, single([1, 0; 1/5, 1; 3/5, 1/2]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
580 %! assert(u, single([5, 6; 0, 4/5]), sqrt (eps('single')));
8367
445d27d79f4e support permutation matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7814
diff changeset
581 %! assert(p(:,:), single([0, 0, 1; 1, 0, 0; 0 1 0]), sqrt (eps('single')));
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
582
13915
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Rik <octave@nomad.inbox5.com>
parents: 13780
diff changeset
583 %!error <Invalid call to lu> lu ();
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
584 %!error lu ([1, 2; 3, 4], 2);
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
585
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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diff changeset
586 */
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parents: 7789
diff changeset
587
9708
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diff changeset
588 static
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
589 bool check_lu_dims (const octave_value& l, const octave_value& u,
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
590 const octave_value& p)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
591 {
6f3ffe11d926 implement luupdate
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parents: 9209
diff changeset
592 octave_idx_type m = l.rows (), k = u.rows (), n = u.columns ();
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
593 return ((l.ndims () == 2 && u.ndims () == 2 && k == l.columns ())
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
594 && k == std::min (m, n) &&
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
595 (p.is_undefined () || p.rows () == m));
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
596 }
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
597
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diff changeset
598 DEFUN_DLD (luupdate, args, ,
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Jaroslav Hajek <highegg@gmail.com>
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diff changeset
599 "-*- texinfo -*-\n\
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diff changeset
600 @deftypefn {Loadable Function} {[@var{L}, @var{U}] =} luupdate (@var{L}, @var{U}, @var{x}, @var{y})\n\
9724
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros
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diff changeset
601 @deftypefnx {Loadable Function} {[@var{L}, @var{U}, @var{P}] =} luupdate (@var{L}, @var{U}, @var{P}, @var{x}, @var{y})\n\
9709
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Jaroslav Hajek <highegg@gmail.com>
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diff changeset
602 Given an LU@tie{}factorization of a real or complex matrix\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
603 @w{@var{A} = @var{L}*@var{U}}, @var{L}@tie{}lower unit trapezoidal and\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
604 @var{U}@tie{}upper trapezoidal, return the LU@tie{}factorization\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
605 of @w{@var{A} + @var{x}*@var{y}.'}, where @var{x} and @var{y} are\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
606 column vectors (rank-1 update) or matrices with equal number of columns\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
607 (rank-k update).\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
608 Optionally, row-pivoted updating can be used by supplying\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
609 a row permutation (pivoting) matrix @var{P};\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
610 in that case, an updated permutation matrix is returned.\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
611 Note that if @var{L}, @var{U}, @var{P} is a pivoted LU@tie{}factorization\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
612 as obtained by @code{lu}:\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
613 \n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
614 @example\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
615 [@var{L}, @var{U}, @var{P}] = lu (@var{A});\n\
f8e2e9fdaa8f document luupdate
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diff changeset
616 @end example\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
617 \n\
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Rik <octave@nomad.inbox5.com>
parents: 10840
diff changeset
618 @noindent\n\
13780
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Rik <octave@nomad.inbox5.com>
parents: 11586
diff changeset
619 then a factorization of @xcode{@var{A}+@var{x}*@var{y}.'} can be obtained\n\
11553
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Rik <octave@nomad.inbox5.com>
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diff changeset
620 either as\n\
9709
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
621 \n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
622 @example\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
623 [@var{L1}, @var{U1}] = lu (@var{L}, @var{U}, @var{P}*@var{x}, @var{y})\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
624 @end example\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
625 \n\
10846
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Rik <octave@nomad.inbox5.com>
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diff changeset
626 @noindent\n\
9709
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diff changeset
627 or\n\
f8e2e9fdaa8f document luupdate
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diff changeset
628 \n\
f8e2e9fdaa8f document luupdate
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diff changeset
629 @example\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9708
diff changeset
630 [@var{L1}, @var{U1}, @var{P1}] = lu (@var{L}, @var{U}, @var{P}, @var{x}, @var{y})\n\
f8e2e9fdaa8f document luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
631 @end example\n\
f8e2e9fdaa8f document luupdate
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parents: 9708
diff changeset
632 \n\
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diff changeset
633 The first form uses the unpivoted algorithm, which is faster, but less\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
634 stable. The second form uses a slower pivoted algorithm, which is more\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
635 stable.\n\
9709
f8e2e9fdaa8f document luupdate
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diff changeset
636 \n\
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Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
637 The matrix case is done as a sequence of rank-1 updates;\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
638 thus, for large enough k, it will be both faster and more accurate to\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
639 recompute the factorization from scratch.\n\
11572
7d6d8c1e471f Grammarcheck Texinfo for files in src directory.
Rik <octave@nomad.inbox5.com>
parents: 11553
diff changeset
640 @seealso{lu, qrupdate, cholupdate}\n\
9724
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros
Rik <rdrider0-list@yahoo.com>
parents: 9715
diff changeset
641 @end deftypefn")
9708
6f3ffe11d926 implement luupdate
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diff changeset
642 {
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
643 octave_idx_type nargin = args.length ();
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
644 octave_value_list retval;
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
645
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
646 bool pivoted = nargin == 5;
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647
6f3ffe11d926 implement luupdate
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diff changeset
648 if (nargin != 4 && nargin != 5)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
649 {
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
650 print_usage ();
6f3ffe11d926 implement luupdate
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651 return retval;
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652 }
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
653
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
654 octave_value argl = args(0);
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
655 octave_value argu = args(1);
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diff changeset
656 octave_value argp = pivoted ? args(2) : octave_value ();
6f3ffe11d926 implement luupdate
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diff changeset
657 octave_value argx = args(2 + pivoted);
6f3ffe11d926 implement luupdate
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diff changeset
658 octave_value argy = args(3 + pivoted);
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
659
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diff changeset
660 if (argl.is_numeric_type () && argu.is_numeric_type ()
9708
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diff changeset
661 && argx.is_numeric_type () && argy.is_numeric_type ()
6f3ffe11d926 implement luupdate
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parents: 9209
diff changeset
662 && (! pivoted || argp.is_perm_matrix ()))
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
663 {
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
664 if (check_lu_dims (argl, argu, argp))
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
665 {
11586
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diff changeset
666 PermMatrix P = (pivoted
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parents: 11572
diff changeset
667 ? argp.perm_matrix_value ()
9708
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diff changeset
668 : PermMatrix::eye (argl.rows ()));
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
669
11586
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diff changeset
670 if (argl.is_real_type ()
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diff changeset
671 && argu.is_real_type ()
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diff changeset
672 && argx.is_real_type ()
10154
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diff changeset
673 && argy.is_real_type ())
9708
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diff changeset
674 {
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
675 // all real case
11586
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diff changeset
676 if (argl.is_single_type ()
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diff changeset
677 || argu.is_single_type ()
12df7854fa7c strip trailing whitespace from source files
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parents: 11572
diff changeset
678 || argx.is_single_type ()
10154
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diff changeset
679 || argy.is_single_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
680 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
681 FloatMatrix L = argl.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
682 FloatMatrix U = argu.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10094
diff changeset
683 FloatMatrix x = argx.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
684 FloatMatrix y = argy.float_matrix_value ();
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diff changeset
685
10154
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diff changeset
686 FloatLU fact (L, U, P);
9708
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diff changeset
687 if (pivoted)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
688 fact.update_piv (x, y);
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
689 else
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
690 fact.update (x, y);
6f3ffe11d926 implement luupdate
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diff changeset
691
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
692 if (pivoted)
6f3ffe11d926 implement luupdate
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diff changeset
693 retval(2) = fact.P ();
10154
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diff changeset
694 retval(1) = get_lu_u (fact);
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diff changeset
695 retval(0) = get_lu_l (fact);
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diff changeset
696 }
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diff changeset
697 else
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diff changeset
698 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
699 Matrix L = argl.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
700 Matrix U = argu.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
701 Matrix x = argx.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
702 Matrix y = argy.matrix_value ();
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
703
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
704 LU fact (L, U, P);
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
705 if (pivoted)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
706 fact.update_piv (x, y);
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
707 else
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
708 fact.update (x, y);
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
709
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
710 if (pivoted)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
711 retval(2) = fact.P ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
712 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
713 retval(0) = get_lu_l (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
714 }
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
715 }
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
716 else
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
717 {
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
718 // complex case
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
719 if (argl.is_single_type ()
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
720 || argu.is_single_type ()
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
721 || argx.is_single_type ()
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
722 || argy.is_single_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
723 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
724 FloatComplexMatrix L = argl.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
725 FloatComplexMatrix U = argu.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
726 FloatComplexMatrix x = argx.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
727 FloatComplexMatrix y = argy.float_complex_matrix_value ();
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
728
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
729 FloatComplexLU fact (L, U, P);
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
730 if (pivoted)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
731 fact.update_piv (x, y);
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
732 else
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
733 fact.update (x, y);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
734
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
735 if (pivoted)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
736 retval(2) = fact.P ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
737 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
738 retval(0) = get_lu_l (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
739 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
740 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
741 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
742 ComplexMatrix L = argl.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
743 ComplexMatrix U = argu.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
744 ComplexMatrix x = argx.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
745 ComplexMatrix y = argy.complex_matrix_value ();
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
746
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
747 ComplexLU fact (L, U, P);
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
748 if (pivoted)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
749 fact.update_piv (x, y);
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
750 else
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
751 fact.update (x, y);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
752
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
753 if (pivoted)
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
754 retval(2) = fact.P ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
755 retval(1) = get_lu_u (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
756 retval(0) = get_lu_l (fact);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10094
diff changeset
757 }
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
758 }
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
759 }
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
760 else
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
761 error ("luupdate: dimension mismatch");
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
762 }
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
763 else
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
764 error ("luupdate: L, U, X, and Y must be numeric");
9708
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
765
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
766 return retval;
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
767 }
6f3ffe11d926 implement luupdate
Jaroslav Hajek <highegg@gmail.com>
parents: 9209
diff changeset
768
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
769 /*
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
770 %!shared A, u, v, Ac, uc, vc
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
771 %! A = [0.091364 0.613038 0.999083;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
772 %! 0.594638 0.425302 0.603537;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
773 %! 0.383594 0.291238 0.085574;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
774 %! 0.265712 0.268003 0.238409;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
775 %! 0.669966 0.743851 0.445057 ];
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
776 %!
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
777 %! u = [0.85082;
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
778 %! 0.76426;
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
779 %! 0.42883;
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
780 %! 0.53010;
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
781 %! 0.80683 ];
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
782 %!
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
783 %! v = [0.98810;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
784 %! 0.24295;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
785 %! 0.43167 ];
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
786 %!
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
787 %! Ac = [0.620405 + 0.956953i 0.480013 + 0.048806i 0.402627 + 0.338171i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
788 %! 0.589077 + 0.658457i 0.013205 + 0.279323i 0.229284 + 0.721929i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
789 %! 0.092758 + 0.345687i 0.928679 + 0.241052i 0.764536 + 0.832406i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
790 %! 0.912098 + 0.721024i 0.049018 + 0.269452i 0.730029 + 0.796517i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
791 %! 0.112849 + 0.603871i 0.486352 + 0.142337i 0.355646 + 0.151496i ];
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
792 %!
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
793 %! uc = [0.20351 + 0.05401i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
794 %! 0.13141 + 0.43708i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
795 %! 0.29808 + 0.08789i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
796 %! 0.69821 + 0.38844i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
797 %! 0.74871 + 0.25821i ];
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
798 %!
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
799 %! vc = [0.85839 + 0.29468i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
800 %! 0.20820 + 0.93090i;
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
801 %! 0.86184 + 0.34689i ];
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
802 %!
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
803
10094
ab1101011a6d lu.cc: avoid test failures if HAVE_QRUPDATE_LUU is not defined
John W. Eaton <jwe@octave.org>
parents: 10080
diff changeset
804 %!testif HAVE_QRUPDATE_LUU
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
805 %! [L,U,P] = lu(A);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
806 %! [L,U] = luupdate(L,U,P*u,v);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
807 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
808 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
809 %! assert(norm(vec(P'*L*U - A - u*v.'),Inf) < norm(A)*1e1*eps)
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
810 %!
10094
ab1101011a6d lu.cc: avoid test failures if HAVE_QRUPDATE_LUU is not defined
John W. Eaton <jwe@octave.org>
parents: 10080
diff changeset
811 %!testif HAVE_QRUPDATE_LUU
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
812 %! [L,U,P] = lu(Ac);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
813 %! [L,U] = luupdate(L,U,P*uc,vc);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
814 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
815 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
816 %! assert(norm(vec(P'*L*U - Ac - uc*vc.'),Inf) < norm(Ac)*1e1*eps)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
817
10094
ab1101011a6d lu.cc: avoid test failures if HAVE_QRUPDATE_LUU is not defined
John W. Eaton <jwe@octave.org>
parents: 10080
diff changeset
818 %!testif HAVE_QRUPDATE_LUU
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
819 %! [L,U,P] = lu(single(A));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
820 %! [L,U] = luupdate(L,U,P*single(u),single(v));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
821 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
822 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
823 %! assert(norm(vec(P'*L*U - single(A) - single(u)*single(v).'),Inf) < norm(single(A))*1e1*eps('single'))
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
824 %!
10094
ab1101011a6d lu.cc: avoid test failures if HAVE_QRUPDATE_LUU is not defined
John W. Eaton <jwe@octave.org>
parents: 10080
diff changeset
825 %!testif HAVE_QRUPDATE_LUU
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
826 %! [L,U,P] = lu(single(Ac));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
827 %! [L,U] = luupdate(L,U,P*single(uc),single(vc));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
828 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
829 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
830 %! assert(norm(vec(P'*L*U - single(Ac) - single(uc)*single(vc).'),Inf) < norm(single(Ac))*1e1*eps('single'))
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
831
10094
ab1101011a6d lu.cc: avoid test failures if HAVE_QRUPDATE_LUU is not defined
John W. Eaton <jwe@octave.org>
parents: 10080
diff changeset
832 %!testif HAVE_QRUPDATE_LUU
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
833 %! [L,U,P] = lu(A);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
834 %! [L,U,P] = luupdate(L,U,P,u,v);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
835 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
836 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
837 %! assert(norm(vec(P'*L*U - A - u*v.'),Inf) < norm(A)*1e1*eps)
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John W. Eaton <jwe@octave.org>
parents: 11572
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838 %!
10094
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John W. Eaton <jwe@octave.org>
parents: 10080
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839 %!testif HAVE_QRUPDATE_LUU
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parents: 9724
diff changeset
840 %! [L,U,P] = lu(Ac);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
841 %! [L,U,P] = luupdate(L,U,P,uc,vc);
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
842 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
843 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
844 %! assert(norm(vec(P'*L*U - Ac - uc*vc.'),Inf) < norm(Ac)*1e1*eps)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
845
10094
ab1101011a6d lu.cc: avoid test failures if HAVE_QRUPDATE_LUU is not defined
John W. Eaton <jwe@octave.org>
parents: 10080
diff changeset
846 %!testif HAVE_QRUPDATE_LUU
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Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
847 %! [L,U,P] = lu(single(A));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
848 %! [L,U,P] = luupdate(L,U,P,single(u),single(v));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
849 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
850 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
851 %! assert(norm(vec(P'*L*U - single(A) - single(u)*single(v).'),Inf) < norm(single(A))*1e1*eps('single'))
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John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
852 %!
10094
ab1101011a6d lu.cc: avoid test failures if HAVE_QRUPDATE_LUU is not defined
John W. Eaton <jwe@octave.org>
parents: 10080
diff changeset
853 %!testif HAVE_QRUPDATE_LUU
10080
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
854 %! [L,U,P] = lu(single(Ac));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
855 %! [L,U,P] = luupdate(L,U,P,single(uc),single(vc));
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
856 %! assert(norm(vec(tril(L)-L),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
857 %! assert(norm(vec(triu(U)-U),Inf) == 0)
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
858 %! assert(norm(vec(P'*L*U - single(Ac) - single(uc)*single(vc).'),Inf) < norm(single(Ac))*1e1*eps('single'))
cf70ee43077c add tests for LU updating
Jaroslav Hajek <highegg@gmail.com>
parents: 9724
diff changeset
859 */