Mercurial > hg > octave-nkf
annotate liboctave/array/dMatrix.h @ 20830:b65888ec820e draft default tip gccjit
dmalcom gcc jit import
author | Stefan Mahr <dac922@gmx.de> |
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date | Fri, 27 Feb 2015 16:59:36 +0100 |
parents | 4197fc428c7d |
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458 | 1 /* |
2 | |
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3 Copyright (C) 1994-2015 John W. Eaton |
458 | 4 |
5 This file is part of Octave. | |
6 | |
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. | |
458 | 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/>. | |
458 | 20 |
21 */ | |
22 | |
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23 #if !defined (octave_dMatrix_h) |
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24 #define octave_dMatrix_h 1 |
458 | 25 |
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26 #include "dNDArray.h" |
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27 #include "MArray.h" |
1989 | 28 #include "MDiagArray2.h" |
5785 | 29 #include "MatrixType.h" |
458 | 30 |
31 #include "mx-defs.h" | |
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32 #include "mx-op-decl.h" |
8335 | 33 #include "DET.h" |
458 | 34 |
3585 | 35 class |
6108 | 36 OCTAVE_API |
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37 Matrix : public NDArray |
458 | 38 { |
39 public: | |
40 | |
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41 typedef ColumnVector column_vector_type; |
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42 typedef RowVector row_vector_type; |
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43 |
7788 | 44 typedef void (*solve_singularity_handler) (double rcon); |
3480 | 45 |
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46 Matrix (void) : NDArray () { } |
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48 Matrix (octave_idx_type r, octave_idx_type c) |
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49 : NDArray (dim_vector (r, c)) { } |
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51 Matrix (octave_idx_type r, octave_idx_type c, double val) |
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52 : NDArray (dim_vector (r, c), val) { } |
3585 | 53 |
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54 Matrix (const dim_vector& dv) : NDArray (dv.redim (2)) { } |
6979 | 55 |
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56 Matrix (const dim_vector& dv, double val) |
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57 : NDArray (dv.redim (2), val) { } |
6979 | 58 |
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59 Matrix (const Matrix& a) : NDArray (a) { } |
3585 | 60 |
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61 template <class U> |
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62 Matrix (const MArray<U>& a) : NDArray (a.as_matrix ()) { } |
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63 |
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64 template <class U> |
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65 Matrix (const Array<U>& a) : NDArray (a.as_matrix ()) { } |
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66 |
3585 | 67 explicit Matrix (const RowVector& rv); |
458 | 68 |
3585 | 69 explicit Matrix (const ColumnVector& cv); |
70 | |
71 explicit Matrix (const DiagMatrix& a); | |
72 | |
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73 explicit Matrix (const MDiagArray2<double>& a); |
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74 |
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75 explicit Matrix (const DiagArray2<double>& a); |
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76 |
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77 explicit Matrix (const PermMatrix& a); |
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78 |
3585 | 79 explicit Matrix (const boolMatrix& a); |
80 | |
81 explicit Matrix (const charMatrix& a); | |
1574 | 82 |
2385 | 83 bool operator == (const Matrix& a) const; |
84 bool operator != (const Matrix& a) const; | |
458 | 85 |
3354 | 86 bool is_symmetric (void) const; |
87 | |
1359 | 88 // destructive insert/delete/reorder operations |
458 | 89 |
5275 | 90 Matrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
91 Matrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); | |
92 Matrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); | |
93 Matrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); | |
458 | 94 |
95 Matrix& fill (double val); | |
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96 Matrix& fill (double val, octave_idx_type r1, octave_idx_type c1, |
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97 octave_idx_type r2, octave_idx_type c2); |
458 | 98 |
99 Matrix append (const Matrix& a) const; | |
100 Matrix append (const RowVector& a) const; | |
101 Matrix append (const ColumnVector& a) const; | |
102 Matrix append (const DiagMatrix& a) const; | |
103 | |
104 Matrix stack (const Matrix& a) const; | |
105 Matrix stack (const RowVector& a) const; | |
106 Matrix stack (const ColumnVector& a) const; | |
107 Matrix stack (const DiagMatrix& a) const; | |
108 | |
6108 | 109 friend OCTAVE_API Matrix real (const ComplexMatrix& a); |
110 friend OCTAVE_API Matrix imag (const ComplexMatrix& a); | |
1205 | 111 |
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112 friend class ComplexMatrix; |
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113 |
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114 Matrix transpose (void) const { return MArray<double>::transpose (); } |
3225 | 115 |
1359 | 116 // resize is the destructive equivalent for this one |
458 | 117 |
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118 Matrix extract (octave_idx_type r1, octave_idx_type c1, |
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119 octave_idx_type r2, octave_idx_type c2) const; |
458 | 120 |
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121 Matrix extract_n (octave_idx_type r1, octave_idx_type c1, |
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122 octave_idx_type nr, octave_idx_type nc) const; |
4316 | 123 |
1359 | 124 // extract row or column i. |
458 | 125 |
5275 | 126 RowVector row (octave_idx_type i) const; |
458 | 127 |
5275 | 128 ColumnVector column (octave_idx_type i) const; |
458 | 129 |
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130 void resize (octave_idx_type nr, octave_idx_type nc, double rfv = 0) |
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131 { |
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132 MArray<double>::resize (dim_vector (nr, nc), rfv); |
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133 } |
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134 |
6207 | 135 private: |
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136 Matrix tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
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137 int force, int calc_cond) const; |
6207 | 138 |
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139 Matrix finverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
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140 int force, int calc_cond) const; |
6207 | 141 |
142 public: | |
458 | 143 Matrix inverse (void) const; |
6479 | 144 Matrix inverse (octave_idx_type& info) const; |
7788 | 145 Matrix inverse (octave_idx_type& info, double& rcon, int force = 0, |
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146 int calc_cond = 1) const; |
6479 | 147 |
6207 | 148 Matrix inverse (MatrixType &mattype) const; |
149 Matrix inverse (MatrixType &mattype, octave_idx_type& info) const; | |
7788 | 150 Matrix inverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
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151 int force = 0, int calc_cond = 1) const; |
458 | 152 |
4384 | 153 Matrix pseudo_inverse (double tol = 0.0) const; |
740 | 154 |
458 | 155 ComplexMatrix fourier (void) const; |
156 ComplexMatrix ifourier (void) const; | |
157 | |
677 | 158 ComplexMatrix fourier2d (void) const; |
159 ComplexMatrix ifourier2d (void) const; | |
160 | |
458 | 161 DET determinant (void) const; |
5275 | 162 DET determinant (octave_idx_type& info) const; |
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163 DET determinant (octave_idx_type& info, double& rcon, |
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164 int calc_cond = 1) const; |
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165 DET determinant (MatrixType &mattype, octave_idx_type& info, |
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166 double& rcon, int calc_cond = 1) const; |
7788 | 167 |
168 double rcond (void) const; | |
169 double rcond (MatrixType &mattype) const; | |
458 | 170 |
5785 | 171 private: |
172 // Upper triangular matrix solvers | |
173 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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174 double& rcon, solve_singularity_handler sing_handler, |
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175 bool calc_cond = false, |
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176 blas_trans_type transt = blas_no_trans) const; |
5785 | 177 |
178 // Lower triangular matrix solvers | |
179 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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180 double& rcon, solve_singularity_handler sing_handler, |
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181 bool calc_cond = false, |
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182 blas_trans_type transt = blas_no_trans) const; |
5785 | 183 |
184 // Full matrix solvers (lu/cholesky) | |
185 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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186 double& rcon, solve_singularity_handler sing_handler, |
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187 bool calc_cond = false) const; |
5785 | 188 |
189 public: | |
190 // Generic interface to solver with no probing of type | |
191 Matrix solve (MatrixType &typ, const Matrix& b) const; | |
192 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const; | |
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193 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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194 double& rcon) const; |
5785 | 195 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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196 double& rcon, solve_singularity_handler sing_handler, |
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197 bool singular_fallback = true, |
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198 blas_trans_type transt = blas_no_trans) const; |
5785 | 199 |
200 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; | |
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201 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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202 octave_idx_type& info) const; |
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203 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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204 octave_idx_type& info, double& rcon) const; |
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205 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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206 octave_idx_type& info, double& rcon, |
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207 solve_singularity_handler sing_handler, |
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208 bool singular_fallback = true, |
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209 blas_trans_type transt = blas_no_trans) const; |
5785 | 210 |
211 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const; | |
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212 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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213 octave_idx_type& info) const; |
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214 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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215 octave_idx_type& info, double& rcon) const; |
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216 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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217 octave_idx_type& info, double& rcon, |
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218 solve_singularity_handler sing_handler, |
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219 blas_trans_type transt = blas_no_trans) const; |
5785 | 220 |
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221 ComplexColumnVector solve (MatrixType &typ, |
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222 const ComplexColumnVector& b) const; |
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223 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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224 octave_idx_type& info) const; |
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225 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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226 octave_idx_type& info, double& rcon) const; |
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227 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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228 octave_idx_type& info, double& rcon, |
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229 solve_singularity_handler sing_handler, |
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230 blas_trans_type transt = blas_no_trans) const; |
5785 | 231 |
232 // Generic interface to solver with probing of type | |
458 | 233 Matrix solve (const Matrix& b) const; |
5275 | 234 Matrix solve (const Matrix& b, octave_idx_type& info) const; |
7788 | 235 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon) const; |
236 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon, | |
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237 solve_singularity_handler sing_handler, |
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238 blas_trans_type transt = blas_no_trans) const; |
458 | 239 |
240 ComplexMatrix solve (const ComplexMatrix& b) const; | |
5275 | 241 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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242 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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243 double& rcon) const; |
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244 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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245 double& rcon, |
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246 solve_singularity_handler sing_handler, |
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247 blas_trans_type transt = blas_no_trans) const; |
458 | 248 |
249 ColumnVector solve (const ColumnVector& b) const; | |
5275 | 250 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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251 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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252 double& rcon) const; |
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253 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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254 double& rcon, |
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255 solve_singularity_handler sing_handler, |
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256 blas_trans_type transt = blas_no_trans) const; |
458 | 257 |
258 ComplexColumnVector solve (const ComplexColumnVector& b) const; | |
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259 ComplexColumnVector solve (const ComplexColumnVector& b, |
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260 octave_idx_type& info) const; |
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261 ComplexColumnVector solve (const ComplexColumnVector& b, |
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262 octave_idx_type& info, double& rcon) const; |
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263 ComplexColumnVector solve (const ComplexColumnVector& b, |
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264 octave_idx_type& info, double& rcon, |
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265 solve_singularity_handler sing_handler, |
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266 blas_trans_type transt = blas_no_trans) const; |
458 | 267 |
5785 | 268 // Singular solvers |
458 | 269 Matrix lssolve (const Matrix& b) const; |
5275 | 270 Matrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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271 Matrix lssolve (const Matrix& b, octave_idx_type& info, |
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272 octave_idx_type& rank) const; |
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273 Matrix lssolve (const Matrix& b, octave_idx_type& info, |
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274 octave_idx_type& rank, double& rcon) const; |
458 | 275 |
276 ComplexMatrix lssolve (const ComplexMatrix& b) const; | |
5275 | 277 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
278 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
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279 octave_idx_type& rank) const; |
7076 | 280 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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281 octave_idx_type& rank, double &rcon) const; |
458 | 282 |
283 ColumnVector lssolve (const ColumnVector& b) const; | |
5275 | 284 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
7076 | 285 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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286 octave_idx_type& rank) const; |
7076 | 287 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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288 octave_idx_type& rank, double& rcon) const; |
458 | 289 |
290 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; | |
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291 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
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292 octave_idx_type& info) const; |
7076 | 293 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
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294 octave_idx_type& info, |
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295 octave_idx_type& rank) const; |
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296 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
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297 octave_idx_type& info, |
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298 octave_idx_type& rank, double& rcon) const; |
458 | 299 |
300 Matrix& operator += (const DiagMatrix& a); | |
301 Matrix& operator -= (const DiagMatrix& a); | |
302 | |
1359 | 303 // unary operations |
458 | 304 |
1359 | 305 // other operations |
458 | 306 |
4017 | 307 boolMatrix all (int dim = -1) const; |
308 boolMatrix any (int dim = -1) const; | |
458 | 309 |
4017 | 310 Matrix cumprod (int dim = -1) const; |
311 Matrix cumsum (int dim = -1) const; | |
312 Matrix prod (int dim = -1) const; | |
313 Matrix sum (int dim = -1) const; | |
314 Matrix sumsq (int dim = -1) const; | |
2385 | 315 Matrix abs (void) const; |
458 | 316 |
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317 Matrix diag (octave_idx_type k = 0) const; |
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319 DiagMatrix diag (octave_idx_type m, octave_idx_type n) const; |
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320 |
458 | 321 ColumnVector row_min (void) const; |
2354 | 322 ColumnVector row_max (void) const; |
458 | 323 |
5275 | 324 ColumnVector row_min (Array<octave_idx_type>& index) const; |
325 ColumnVector row_max (Array<octave_idx_type>& index) const; | |
458 | 326 |
327 RowVector column_min (void) const; | |
2354 | 328 RowVector column_max (void) const; |
458 | 329 |
5275 | 330 RowVector column_min (Array<octave_idx_type>& index) const; |
331 RowVector column_max (Array<octave_idx_type>& index) const; | |
458 | 332 |
1359 | 333 // i/o |
458 | 334 |
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335 friend OCTAVE_API std::ostream& operator << (std::ostream& os, |
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336 const Matrix& a); |
6108 | 337 friend OCTAVE_API std::istream& operator >> (std::istream& is, Matrix& a); |
458 | 338 }; |
339 | |
5508 | 340 // Publish externally used friend functions. |
341 | |
6108 | 342 extern OCTAVE_API Matrix real (const ComplexMatrix& a); |
343 extern OCTAVE_API Matrix imag (const ComplexMatrix& a); | |
5508 | 344 |
345 // column vector by row vector -> matrix operations | |
346 | |
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347 extern OCTAVE_API Matrix operator * (const ColumnVector& a, |
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348 const RowVector& b); |
5508 | 349 |
350 // Other functions. | |
351 | |
6108 | 352 extern OCTAVE_API Matrix Givens (double, double); |
1819 | 353 |
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354 extern OCTAVE_API Matrix Sylvester (const Matrix&, const Matrix&, |
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355 const Matrix&); |
1959 | 356 |
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357 extern OCTAVE_API Matrix xgemm (const Matrix& a, const Matrix& b, |
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358 blas_trans_type transa = blas_no_trans, |
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359 blas_trans_type transb = blas_no_trans); |
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360 |
6108 | 361 extern OCTAVE_API Matrix operator * (const Matrix& a, const Matrix& b); |
2828 | 362 |
6108 | 363 extern OCTAVE_API Matrix min (double d, const Matrix& m); |
364 extern OCTAVE_API Matrix min (const Matrix& m, double d); | |
365 extern OCTAVE_API Matrix min (const Matrix& a, const Matrix& b); | |
4309 | 366 |
6108 | 367 extern OCTAVE_API Matrix max (double d, const Matrix& m); |
368 extern OCTAVE_API Matrix max (const Matrix& m, double d); | |
369 extern OCTAVE_API Matrix max (const Matrix& a, const Matrix& b); | |
4309 | 370 |
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371 extern OCTAVE_API Matrix linspace (const ColumnVector& x1, |
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372 const ColumnVector& x2, |
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373 octave_idx_type n); |
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374 |
6708 | 375 MS_CMP_OP_DECLS (Matrix, double, OCTAVE_API) |
376 MS_BOOL_OP_DECLS (Matrix, double, OCTAVE_API) | |
2870 | 377 |
6708 | 378 SM_CMP_OP_DECLS (double, Matrix, OCTAVE_API) |
379 SM_BOOL_OP_DECLS (double, Matrix, OCTAVE_API) | |
2870 | 380 |
6708 | 381 MM_CMP_OP_DECLS (Matrix, Matrix, OCTAVE_API) |
382 MM_BOOL_OP_DECLS (Matrix, Matrix, OCTAVE_API) | |
2870 | 383 |
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384 MARRAY_FORWARD_DEFS (MArray, Matrix, double) |
3573 | 385 |
3689 | 386 template <class T> |
387 void read_int (std::istream& is, bool swap_bytes, T& val); | |
388 | |
458 | 389 #endif |