Mercurial > octave
annotate src/DLD-FUNCTIONS/matrix_type.cc @ 10154:40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 20 Jan 2010 17:33:41 -0500 |
parents | 09da0bd91412 |
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5323 | 1 /* |
2 | |
8920 | 3 Copyright (C) 2005, 2006, 2007, 2008, 2009 David Bateman |
5323 | 4 |
5720 | 5 This file is part of Octave. |
6 | |
5323 | 7 Octave is free software; you can redistribute it and/or modify it |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
5323 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
5323 | 20 |
21 */ | |
22 | |
23 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
25 #endif | |
26 | |
5403 | 27 #include <algorithm> |
28 | |
5323 | 29 #include "ov.h" |
30 #include "defun-dld.h" | |
31 #include "error.h" | |
5785 | 32 #include "ov-re-mat.h" |
33 #include "ov-cx-mat.h" | |
5323 | 34 #include "ov-re-sparse.h" |
35 #include "ov-cx-sparse.h" | |
5785 | 36 #include "MatrixType.h" |
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37 #include "oct-locbuf.h" |
5323 | 38 |
39 DEFUN_DLD (matrix_type, args, , | |
40 "-*- texinfo -*-\n\ | |
41 @deftypefn {Loadable Function} {@var{type} =} matrix_type (@var{a})\n\ | |
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42 @deftypefnx {Loadable Function} {@var{type} =} matrix_type (@var{a}, 'nocompute')\n\ |
5323 | 43 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, @var{type})\n\ |
44 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, 'upper', @var{perm})\n\ | |
45 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, 'lower', @var{perm})\n\ | |
46 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, 'banded', @var{nl}, @var{nu})\n\ | |
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47 Identify the matrix type or mark a matrix as a particular type. This allows rapid\n\ |
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48 for solutions of linear equations involving @var{a} to be performed. Called with a\n\ |
5323 | 49 single argument, @code{matrix_type} returns the type of the matrix and caches it for\n\ |
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50 future use. Called with more than one argument, @code{matrix_type} allows the type\n\ |
5323 | 51 of the matrix to be defined.\n\ |
52 \n\ | |
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53 If the option 'nocompute' is given, the function will not attempt to guess the type if it is\n\ |
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54 still unknown. This is useful for debugging purposes.\n\ |
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55 \n\ |
5323 | 56 The possible matrix types depend on whether the matrix is full or sparse, and can be\n\ |
57 one of the following\n\ | |
58 \n\ | |
59 @table @asis\n\ | |
60 @item 'unknown'\n\ | |
61 Remove any previously cached matrix type, and mark type as unknown\n\ | |
62 \n\ | |
63 @item 'full'\n\ | |
64 Mark the matrix as full.\n\ | |
65 \n\ | |
66 @item 'positive definite'\n\ | |
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67 Probable full positive definite matrix.\n\ |
5323 | 68 \n\ |
69 @item 'diagonal'\n\ | |
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70 Diagonal Matrix. (Sparse matrices only)\n\ |
5323 | 71 \n\ |
72 @item 'permuted diagonal'\n\ | |
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73 Permuted Diagonal matrix. The permutation does not need to be specifically\n\ |
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74 indicated, as the structure of the matrix explicitly gives this. (Sparse matrices\n\ |
5323 | 75 only)\n\ |
76 \n\ | |
77 @item 'upper'\n\ | |
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78 Upper triangular. If the optional third argument @var{perm} is given, the matrix is\n\ |
5323 | 79 assumed to be a permuted upper triangular with the permutations defined by the\n\ |
80 vector @var{perm}.\n\ | |
81 \n\ | |
82 @item 'lower'\n\ | |
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83 Lower triangular. If the optional third argument @var{perm} is given, the matrix is\n\ |
5323 | 84 assumed to be a permuted lower triangular with the permutations defined by the\n\ |
85 vector @var{perm}.\n\ | |
86 \n\ | |
87 @item 'banded'\n\ | |
88 @itemx 'banded positive definite'\n\ | |
89 Banded matrix with the band size of @var{nl} below the diagonal and @var{nu} above\n\ | |
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90 it. If @var{nl} and @var{nu} are 1, then the matrix is tridiagonal and treated\n\ |
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91 with specialized code. In addition the matrix can be marked as probably a\n\ |
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92 positive definite (Sparse matrices only)\n\ |
5323 | 93 \n\ |
94 @item 'singular'\n\ | |
95 The matrix is assumed to be singular and will be treated with a minimum norm solution\n\ | |
96 \n\ | |
97 @end table\n\ | |
98 \n\ | |
99 Note that the matrix type will be discovered automatically on the first attempt to\n\ | |
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100 solve a linear equation involving @var{a}. Therefore @code{matrix_type} is only\n\ |
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101 useful to give Octave hints of the matrix type. Incorrectly defining the\n\ |
5323 | 102 matrix type will result in incorrect results from solutions of linear equations,\n\ |
7001 | 103 and so it is entirely the responsibility of the user to correctly identify the\n\ |
5323 | 104 matrix type.\n\ |
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105 \n\ |
8489 | 106 Also the test for positive definiteness is a low-cost test for a hermitian\n\ |
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107 matrix with a real positive diagonal. This does not guarantee that the matrix\n\ |
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108 is positive definite, but only that it is a probable candidate. When such a\n\ |
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109 matrix is factorized, a Cholesky factorization is first attempted, and if\n\ |
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110 that fails the matrix is then treated with an LU factorization. Once the\n\ |
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111 matrix has been factorized, @code{matrix_type} will return the correct\n\ |
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112 classification of the matrix.\n\ |
5323 | 113 @end deftypefn") |
114 { | |
115 int nargin = args.length (); | |
116 octave_value retval; | |
117 | |
118 if (nargin == 0) | |
5823 | 119 print_usage (); |
5323 | 120 else if (nargin > 4) |
121 error ("matrix_type: incorrect number of arguments"); | |
122 else | |
123 { | |
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124 bool autocomp = true; |
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125 if (nargin == 2 && args(1).is_string () && args(1).string_value () == "nocompute") |
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126 { |
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127 nargin = 1; |
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128 autocomp = false; |
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129 } |
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130 |
6371 | 131 if (args(0).is_scalar_type()) |
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132 { |
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133 if (nargin == 1) |
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134 retval = octave_value ("Diagonal"); |
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135 else |
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136 retval = args(0); |
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137 } |
6371 | 138 else if (args(0).is_sparse_type ()) |
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139 { |
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140 if (nargin == 1) |
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141 { |
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142 MatrixType mattyp; |
5323 | 143 |
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144 if (args(0).is_complex_type ()) |
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145 { |
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146 mattyp = args(0).matrix_type (); |
5323 | 147 |
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148 if (mattyp.is_unknown () && autocomp ) |
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149 { |
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150 SparseComplexMatrix m = |
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151 args(0).sparse_complex_matrix_value (); |
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152 if (!error_state) |
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153 { |
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154 mattyp = MatrixType (m); |
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155 args(0).matrix_type (mattyp); |
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156 } |
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157 } |
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158 } |
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159 else |
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160 { |
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161 mattyp = args(0).matrix_type (); |
5323 | 162 |
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163 if (mattyp.is_unknown () && autocomp) |
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164 { |
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165 SparseMatrix m = args(0).sparse_matrix_value (); |
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166 if (!error_state) |
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167 { |
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168 mattyp = MatrixType (m); |
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169 args(0).matrix_type (mattyp); |
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170 } |
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171 } |
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172 } |
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174 int typ = mattyp.type (); |
5323 | 175 |
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176 if (typ == MatrixType::Diagonal) |
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177 retval = octave_value ("Diagonal"); |
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178 else if (typ == MatrixType::Permuted_Diagonal) |
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179 retval = octave_value ("Permuted Diagonal"); |
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180 else if (typ == MatrixType::Upper) |
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181 retval = octave_value ("Upper"); |
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182 else if (typ == MatrixType::Permuted_Upper) |
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183 retval = octave_value ("Permuted Upper"); |
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184 else if (typ == MatrixType::Lower) |
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185 retval = octave_value ("Lower"); |
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186 else if (typ == MatrixType::Permuted_Lower) |
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187 retval = octave_value ("Permuted Lower"); |
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188 else if (typ == MatrixType::Banded) |
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189 retval = octave_value ("Banded"); |
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190 else if (typ == MatrixType::Banded_Hermitian) |
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191 retval = octave_value ("Banded Positive Definite"); |
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192 else if (typ == MatrixType::Tridiagonal) |
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193 retval = octave_value ("Tridiagonal"); |
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194 else if (typ == MatrixType::Tridiagonal_Hermitian) |
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195 retval = octave_value ("Tridiagonal Positive Definite"); |
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196 else if (typ == MatrixType::Hermitian) |
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197 retval = octave_value ("Positive Definite"); |
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198 else if (typ == MatrixType::Rectangular) |
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199 { |
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200 if (args(0).rows() == args(0).columns()) |
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201 retval = octave_value ("Singular"); |
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202 else |
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203 retval = octave_value ("Rectangular"); |
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204 } |
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205 else if (typ == MatrixType::Full) |
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206 retval = octave_value ("Full"); |
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207 else |
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208 retval = octave_value ("Unknown"); |
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209 } |
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210 else |
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211 { |
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212 // Ok, we're changing the matrix type |
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213 std::string str_typ = args(1).string_value (); |
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215 // FIXME -- why do I have to explicitly call the constructor? |
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216 MatrixType mattyp = MatrixType (); |
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218 octave_idx_type nl = 0; |
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219 octave_idx_type nu = 0; |
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220 |
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221 if (error_state) |
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222 error ("Matrix type must be a string"); |
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223 else |
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224 { |
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225 // Use STL function to convert to lower case |
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226 std::transform (str_typ.begin (), str_typ.end (), |
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227 str_typ.begin (), tolower); |
5323 | 228 |
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229 if (str_typ == "diagonal") |
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230 mattyp.mark_as_diagonal (); |
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231 if (str_typ == "permuted diagonal") |
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232 mattyp.mark_as_permuted_diagonal (); |
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233 else if (str_typ == "upper") |
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234 mattyp.mark_as_upper_triangular (); |
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235 else if (str_typ == "lower") |
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236 mattyp.mark_as_lower_triangular (); |
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237 else if (str_typ == "banded" || str_typ == "banded positive definite") |
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238 { |
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239 if (nargin != 4) |
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240 error ("matrix_type: banded matrix type requires 4 arguments"); |
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241 else |
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242 { |
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243 nl = args(2).nint_value (); |
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244 nu = args(3).nint_value (); |
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246 if (error_state) |
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247 error ("matrix_type: band size must be integer"); |
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248 else |
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249 { |
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250 if (nl == 1 && nu == 1) |
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251 mattyp.mark_as_tridiagonal (); |
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252 else |
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253 mattyp.mark_as_banded (nu, nl); |
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254 |
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255 if (str_typ == "banded positive definite") |
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256 mattyp.mark_as_symmetric (); |
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257 } |
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258 } |
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259 } |
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260 else if (str_typ == "positive definite") |
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261 { |
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262 mattyp.mark_as_full (); |
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263 mattyp.mark_as_symmetric (); |
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264 } |
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265 else if (str_typ == "singular") |
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266 mattyp.mark_as_rectangular (); |
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267 else if (str_typ == "full") |
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268 mattyp.mark_as_full (); |
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269 else if (str_typ == "unknown") |
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270 mattyp.invalidate_type (); |
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271 else |
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272 error ("matrix_type: Unknown matrix type %s", str_typ.c_str()); |
5323 | 273 |
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274 if (! error_state) |
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275 { |
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276 if (nargin == 3 && (str_typ == "upper" || str_typ == "lower")) |
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277 { |
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278 const ColumnVector perm = |
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279 ColumnVector (args (2).vector_value ()); |
5323 | 280 |
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281 if (error_state) |
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282 error ("matrix_type: Invalid permutation vector"); |
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|
283 else |
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|
284 { |
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285 octave_idx_type len = perm.length (); |
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286 dim_vector dv = args(0).dims (); |
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287 |
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288 if (len != dv(0)) |
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289 error ("matrix_type: Invalid permutation vector"); |
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|
290 else |
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|
291 { |
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|
292 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, len); |
5323 | 293 |
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294 for (octave_idx_type i = 0; i < len; i++) |
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295 p[i] = static_cast<octave_idx_type> (perm (i)) - 1; |
5323 | 296 |
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|
297 if (str_typ == "upper") |
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|
298 mattyp.mark_as_permuted (len, p); |
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|
299 else |
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|
300 mattyp.mark_as_permuted (len, p); |
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|
301 } |
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|
302 } |
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|
303 } |
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|
304 else if (nargin != 2 && str_typ != "banded positive definite" && |
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|
305 str_typ != "banded") |
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306 error ("matrix_type: Invalid number of arguments"); |
5323 | 307 |
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308 if (! error_state) |
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|
309 { |
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310 // Set the matrix type |
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311 if (args(0).is_complex_type ()) |
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|
312 retval = |
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|
313 octave_value (args(0).sparse_complex_matrix_value (), |
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|
314 mattyp); |
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|
315 else |
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316 retval = octave_value (args(0).sparse_matrix_value (), |
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|
317 mattyp); |
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|
318 } |
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|
319 } |
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|
320 } |
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|
321 } |
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|
322 } |
5323 | 323 else |
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324 { |
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325 if (nargin == 1) |
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326 { |
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327 MatrixType mattyp; |
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329 if (args(0).is_complex_type ()) |
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330 { |
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331 mattyp = args(0).matrix_type (); |
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333 if (mattyp.is_unknown () && autocomp) |
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334 { |
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335 if (args(0).is_single_type ()) |
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336 { |
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337 FloatComplexMatrix m = args(0).float_complex_matrix_value (); |
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338 if (!error_state) |
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339 { |
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340 mattyp = MatrixType (m); |
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341 args(0).matrix_type (mattyp); |
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342 } |
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343 } |
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344 else |
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345 { |
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346 ComplexMatrix m = args(0).complex_matrix_value (); |
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347 if (!error_state) |
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348 { |
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349 mattyp = MatrixType (m); |
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350 args(0).matrix_type (mattyp); |
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351 } |
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352 } |
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353 } |
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354 } |
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355 else |
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356 { |
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357 mattyp = args(0).matrix_type (); |
5785 | 358 |
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359 if (mattyp.is_unknown () && autocomp) |
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360 { |
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361 if (args(0).is_single_type ()) |
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362 { |
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363 FloatMatrix m = args(0).float_matrix_value (); |
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364 if (!error_state) |
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365 { |
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366 mattyp = MatrixType (m); |
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367 args(0).matrix_type (mattyp); |
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368 } |
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369 } |
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370 else |
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371 { |
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372 Matrix m = args(0).matrix_value (); |
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373 if (!error_state) |
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374 { |
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375 mattyp = MatrixType (m); |
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376 args(0).matrix_type (mattyp); |
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377 } |
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|
378 } |
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|
379 } |
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380 } |
5785 | 381 |
10154
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382 int typ = mattyp.type (); |
5785 | 383 |
10154
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384 if (typ == MatrixType::Upper) |
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385 retval = octave_value ("Upper"); |
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386 else if (typ == MatrixType::Permuted_Upper) |
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387 retval = octave_value ("Permuted Upper"); |
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388 else if (typ == MatrixType::Lower) |
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389 retval = octave_value ("Lower"); |
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|
390 else if (typ == MatrixType::Permuted_Lower) |
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391 retval = octave_value ("Permuted Lower"); |
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392 else if (typ == MatrixType::Hermitian) |
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|
393 retval = octave_value ("Positive Definite"); |
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|
394 else if (typ == MatrixType::Rectangular) |
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|
395 { |
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|
396 if (args(0).rows() == args(0).columns()) |
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|
397 retval = octave_value ("Singular"); |
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|
398 else |
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|
399 retval = octave_value ("Rectangular"); |
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|
400 } |
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diff
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|
401 else if (typ == MatrixType::Full) |
40dfc0c99116
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diff
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|
402 retval = octave_value ("Full"); |
40dfc0c99116
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diff
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|
403 else |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
404 retval = octave_value ("Unknown"); |
40dfc0c99116
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|
405 } |
40dfc0c99116
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diff
changeset
|
406 else |
40dfc0c99116
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diff
changeset
|
407 { |
40dfc0c99116
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diff
changeset
|
408 // Ok, we're changing the matrix type |
40dfc0c99116
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diff
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|
409 std::string str_typ = args(1).string_value (); |
5785 | 410 |
10154
40dfc0c99116
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|
411 // FIXME -- why do I have to explicitly call the constructor? |
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|
412 MatrixType mattyp = MatrixType (MatrixType::Unknown, true); |
5785 | 413 |
10154
40dfc0c99116
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diff
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|
414 if (error_state) |
40dfc0c99116
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diff
changeset
|
415 error ("Matrix type must be a string"); |
40dfc0c99116
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diff
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|
416 else |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
417 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
418 // Use STL function to convert to lower case |
40dfc0c99116
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diff
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|
419 std::transform (str_typ.begin (), str_typ.end (), |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
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|
420 str_typ.begin (), tolower); |
5785 | 421 |
10154
40dfc0c99116
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diff
changeset
|
422 if (str_typ == "upper") |
40dfc0c99116
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diff
changeset
|
423 mattyp.mark_as_upper_triangular (); |
40dfc0c99116
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diff
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|
424 else if (str_typ == "lower") |
40dfc0c99116
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diff
changeset
|
425 mattyp.mark_as_lower_triangular (); |
40dfc0c99116
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diff
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|
426 else if (str_typ == "positive definite") |
40dfc0c99116
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diff
changeset
|
427 { |
40dfc0c99116
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diff
changeset
|
428 mattyp.mark_as_full (); |
40dfc0c99116
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diff
changeset
|
429 mattyp.mark_as_symmetric (); |
40dfc0c99116
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diff
changeset
|
430 } |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
431 else if (str_typ == "singular") |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
432 mattyp.mark_as_rectangular (); |
40dfc0c99116
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diff
changeset
|
433 else if (str_typ == "full") |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff
changeset
|
434 mattyp.mark_as_full (); |
40dfc0c99116
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diff
changeset
|
435 else if (str_typ == "unknown") |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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9758
diff
changeset
|
436 mattyp.invalidate_type (); |
40dfc0c99116
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9758
diff
changeset
|
437 else |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9758
diff
changeset
|
438 error ("matrix_type: Unknown matrix type %s", str_typ.c_str()); |
5785 | 439 |
10154
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
440 if (! error_state) |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
441 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9758
diff
changeset
|
442 if (nargin == 3 && (str_typ == "upper" |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
443 || str_typ == "lower")) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9758
diff
changeset
|
444 { |
40dfc0c99116
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diff
changeset
|
445 const ColumnVector perm = |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
446 ColumnVector (args (2).vector_value ()); |
5785 | 447 |
10154
40dfc0c99116
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diff
changeset
|
448 if (error_state) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
449 error ("matrix_type: Invalid permutation vector"); |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
9758
diff
changeset
|
450 else |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
451 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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452 octave_idx_type len = perm.length (); |
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453 dim_vector dv = args(0).dims (); |
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454 |
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455 if (len != dv(0)) |
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456 error ("matrix_type: Invalid permutation vector"); |
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457 else |
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458 { |
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459 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, len); |
5785 | 460 |
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461 for (octave_idx_type i = 0; i < len; i++) |
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462 p[i] = static_cast<octave_idx_type> (perm (i)) - 1; |
5785 | 463 |
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464 if (str_typ == "upper") |
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465 mattyp.mark_as_permuted (len, p); |
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466 else |
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467 mattyp.mark_as_permuted (len, p); |
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468 } |
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469 } |
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470 } |
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471 else if (nargin != 2) |
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472 error ("matrix_type: Invalid number of arguments"); |
5785 | 473 |
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474 if (! error_state) |
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475 { |
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476 // Set the matrix type |
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477 if (args(0).is_single_type ()) |
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478 { |
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479 if (args(0).is_complex_type()) |
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480 retval = octave_value |
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481 (args(0).float_complex_matrix_value (), |
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482 mattyp); |
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483 else |
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484 retval = octave_value |
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485 (args(0).float_matrix_value (), |
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486 mattyp); |
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487 } |
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488 else |
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489 { |
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490 if (args(0).is_complex_type()) |
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491 retval = octave_value |
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492 (args(0).complex_matrix_value (), |
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493 mattyp); |
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494 else |
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495 retval = octave_value |
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496 (args(0).matrix_value (), |
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497 mattyp); |
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498 } |
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499 } |
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500 } |
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501 } |
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502 } |
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503 } |
5323 | 504 } |
505 | |
506 return retval; | |
507 } | |
508 | |
509 /* | |
5681 | 510 |
5775 | 511 ## FIXME |
5681 | 512 ## Disable tests for lower under-determined and upper over-determined |
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513 ## matrices as this detection is disabled in MatrixType due to issues |
5681 | 514 ## of non minimum norm solution being found. |
5610 | 515 |
516 %!assert(matrix_type(speye(10,10)),"Diagonal"); | |
517 %!assert(matrix_type(speye(10,10)([2:10,1],:)),"Permuted Diagonal"); | |
518 %!assert(matrix_type([[speye(10,10);sparse(1,10)],[1;sparse(9,1);1]]),"Upper"); | |
519 %!assert(matrix_type([[speye(10,10);sparse(1,10)],[1;sparse(9,1);1]](:,[2,1,3:11])),"Permuted Upper"); | |
520 %!assert(matrix_type([speye(10,10),sparse(10,1);1,sparse(1,9),1]),"Lower"); | |
521 %!assert(matrix_type([speye(10,10),sparse(10,1);1,sparse(1,9),1]([2,1,3:11],:)),"Permuted Lower"); | |
522 %!test | |
523 %! bnd=spparms("bandden"); | |
524 %! spparms("bandden",0.5); | |
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525 %! a = spdiags(rand(10,3)-0.5,[-1,0,1],10,10); |
5610 | 526 %! assert(matrix_type(a),"Tridiagonal"); |
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527 %! assert(matrix_type(a'+a+2*speye(10)),"Tridiagonal Positive Definite"); |
5610 | 528 %! spparms("bandden",bnd); |
529 %!test | |
530 %! bnd=spparms("bandden"); | |
531 %! spparms("bandden",0.5); | |
532 %! a = spdiags(randn(10,4),[-2:1],10,10); | |
533 %! assert(matrix_type(a),"Banded"); | |
534 %! assert(matrix_type(a'*a),"Banded Positive Definite"); | |
535 %! spparms("bandden",bnd); | |
536 %!test | |
537 %! a=[speye(10,10),[sparse(9,1);1];-1,sparse(1,9),1]; | |
538 %! assert(matrix_type(a),"Full"); | |
539 %! assert(matrix_type(a'*a),"Positive Definite"); | |
5630 | 540 %!assert(matrix_type(speye(10,11)),"Diagonal"); |
541 %!assert(matrix_type(speye(10,11)([2:10,1],:)),"Permuted Diagonal"); | |
542 %!assert(matrix_type(speye(11,10)),"Diagonal"); | |
543 %!assert(matrix_type(speye(11,10)([2:11,1],:)),"Permuted Diagonal"); | |
5681 | 544 %#!assert(matrix_type([[speye(10,10);sparse(1,10)],[[1,1];sparse(9,2);[1,1]]]),"Upper"); |
545 %#!assert(matrix_type([[speye(10,10);sparse(1,10)],[[1,1];sparse(9,2);[1,1]]](:,[2,1,3:12])),"Permuted Upper"); | |
5630 | 546 %!assert(matrix_type([speye(11,9),[1;sparse(8,1);1;0]]),"Upper"); |
547 %!assert(matrix_type([speye(11,9),[1;sparse(8,1);1;0]](:,[2,1,3:10])),"Permuted Upper"); | |
5681 | 548 %#!assert(matrix_type([speye(10,10),sparse(10,1);[1;1],sparse(2,9),[1;1]]),"Lower"); |
549 %#!assert(matrix_type([speye(10,10),sparse(10,1);[1;1],sparse(2,9),[1;1]]([2,1,3:12],:)),"Permuted Lower"); | |
5630 | 550 %!assert(matrix_type([speye(9,11);[1,sparse(1,8),1,0]]),"Lower"); |
551 %!assert(matrix_type([speye(9,11);[1,sparse(1,8),1,0]]([2,1,3:10],:)),"Permuted Lower"); | |
552 %!assert(matrix_type(spdiags(randn(10,4),[-2:1],10,9)),"Rectangular") | |
5610 | 553 |
554 %!assert(matrix_type(1i*speye(10,10)),"Diagonal"); | |
555 %!assert(matrix_type(1i*speye(10,10)([2:10,1],:)),"Permuted Diagonal"); | |
556 %!assert(matrix_type([[speye(10,10);sparse(1,10)],[1i;sparse(9,1);1]]),"Upper"); | |
557 %!assert(matrix_type([[speye(10,10);sparse(1,10)],[1i;sparse(9,1);1]](:,[2,1,3:11])),"Permuted Upper"); | |
558 %!assert(matrix_type([speye(10,10),sparse(10,1);1i,sparse(1,9),1]),"Lower"); | |
559 %!assert(matrix_type([speye(10,10),sparse(10,1);1i,sparse(1,9),1]([2,1,3:11],:)),"Permuted Lower"); | |
560 %!test | |
561 %! bnd=spparms("bandden"); | |
562 %! spparms("bandden",0.5); | |
563 %! assert(matrix_type(spdiags(1i*randn(10,3),[-1,0,1],10,10)),"Tridiagonal"); | |
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564 %! a = 1i*(rand(9,1)-0.5);a=[[a;0],ones(10,1),[0;-a]]; |
5610 | 565 %! assert(matrix_type(spdiags(a,[-1,0,1],10,10)),"Tridiagonal Positive Definite"); |
566 %! spparms("bandden",bnd); | |
567 %!test | |
568 %! bnd=spparms("bandden"); | |
569 %! spparms("bandden",0.5); | |
570 %! assert(matrix_type(spdiags(1i*randn(10,4),[-2:1],10,10)),"Banded"); | |
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571 %! a = 1i*(rand(9,2)-0.5);a=[[a;[0,0]],ones(10,1),[[0;-a(:,2)],[0;0;-a(1:8,1)]]]; |
5610 | 572 %! assert(matrix_type(spdiags(a,[-2:2],10,10)),"Banded Positive Definite"); |
573 %! spparms("bandden",bnd); | |
574 %!test | |
575 %! a=[speye(10,10),[sparse(9,1);1i];-1,sparse(1,9),1]; | |
576 %! assert(matrix_type(a),"Full"); | |
577 %! assert(matrix_type(a'*a),"Positive Definite"); | |
5630 | 578 %!assert(matrix_type(1i*speye(10,11)),"Diagonal"); |
579 %!assert(matrix_type(1i*speye(10,11)([2:10,1],:)),"Permuted Diagonal"); | |
580 %!assert(matrix_type(1i*speye(11,10)),"Diagonal"); | |
581 %!assert(matrix_type(1i*speye(11,10)([2:11,1],:)),"Permuted Diagonal"); | |
5681 | 582 %#!assert(matrix_type([[speye(10,10);sparse(1,10)],[[1i,1i];sparse(9,2);[1i,1i]]]),"Upper"); |
583 %#!assert(matrix_type([[speye(10,10);sparse(1,10)],[[1i,1i];sparse(9,2);[1i,1i]]](:,[2,1,3:12])),"Permuted Upper"); | |
5630 | 584 %!assert(matrix_type([speye(11,9),[1i;sparse(8,1);1i;0]]),"Upper"); |
585 %!assert(matrix_type([speye(11,9),[1i;sparse(8,1);1i;0]](:,[2,1,3:10])),"Permuted Upper"); | |
5681 | 586 %#!assert(matrix_type([speye(10,10),sparse(10,1);[1i;1i],sparse(2,9),[1i;1i]]),"Lower"); |
587 %#!assert(matrix_type([speye(10,10),sparse(10,1);[1i;1i],sparse(2,9),[1i;1i]]([2,1,3:12],:)),"Permuted Lower"); | |
5630 | 588 %!assert(matrix_type([speye(9,11);[1i,sparse(1,8),1i,0]]),"Lower"); |
589 %!assert(matrix_type([speye(9,11);[1i,sparse(1,8),1i,0]]([2,1,3:10],:)),"Permuted Lower"); | |
590 %!assert(matrix_type(1i*spdiags(randn(10,4),[-2:1],10,9)),"Rectangular") | |
5610 | 591 |
592 %!test | |
593 %! a = matrix_type(spdiags(randn(10,3),[-1,0,1],10,10),"Singular"); | |
594 %! assert(matrix_type(a),"Singular"); | |
595 | |
5785 | 596 %!assert(matrix_type(triu(ones(10,10))),"Upper"); |
597 %!assert(matrix_type(triu(ones(10,10),-1)),"Full"); | |
598 %!assert(matrix_type(tril(ones(10,10))),"Lower"); | |
599 %!assert(matrix_type(tril(ones(10,10),1)),"Full"); | |
600 %!assert(matrix_type(10*eye(10,10) + ones(10,10)), "Positive Definite"); | |
601 %!assert(matrix_type(ones(11,10)),"Rectangular") | |
602 %!test | |
603 %! a = matrix_type(ones(10,10),"Singular"); | |
604 %! assert(matrix_type(a),"Singular"); | |
605 | |
606 %!assert(matrix_type(triu(1i*ones(10,10))),"Upper"); | |
607 %!assert(matrix_type(triu(1i*ones(10,10),-1)),"Full"); | |
608 %!assert(matrix_type(tril(1i*ones(10,10))),"Lower"); | |
609 %!assert(matrix_type(tril(1i*ones(10,10),1)),"Full"); | |
610 %!assert(matrix_type(10*eye(10,10) + 1i*triu(ones(10,10),1) -1i*tril(ones(10,10),-1)), "Positive Definite"); | |
611 %!assert(matrix_type(ones(11,10)),"Rectangular") | |
612 %!test | |
613 %! a = matrix_type(ones(10,10),"Singular"); | |
614 %! assert(matrix_type(a),"Singular"); | |
615 | |
5610 | 616 */ |
617 | |
618 /* | |
5323 | 619 ;;; Local Variables: *** |
620 ;;; mode: C++ *** | |
621 ;;; End: *** | |
622 */ |