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annotate liboctave/array/dDiagMatrix.cc @ 19174:04dc55bf71e8
adjust spacing in gnuplot legend when non default font size is used.
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| author | Serviscope Minor <serviscope_minor@verybigfrog.com> |
|---|---|
| date | Mon, 04 Aug 2014 20:49:32 +0100 |
| parents | 80b8873c90ba |
| children | 4197fc428c7d |
| rev | line source |
|---|---|
| 1993 | 1 // DiagMatrix manipulations. |
| 458 | 2 /* |
| 3 | |
|
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4 Copyright (C) 1994-2013 John W. Eaton |
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5 Copyright (C) 2009 VZLU Prague |
| 458 | 6 |
| 7 This file is part of Octave. | |
| 8 | |
| 9 Octave is free software; you can redistribute it and/or modify it | |
| 10 under the terms of the GNU General Public License as published by the | |
| 7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
| 12 option) any later version. | |
| 458 | 13 |
| 14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 17 for more details. | |
| 18 | |
| 19 You should have received a copy of the GNU General Public License | |
| 7016 | 20 along with Octave; see the file COPYING. If not, see |
| 21 <http://www.gnu.org/licenses/>. | |
| 458 | 22 |
| 23 */ | |
| 24 | |
| 25 #ifdef HAVE_CONFIG_H | |
| 1192 | 26 #include <config.h> |
| 458 | 27 #endif |
| 28 | |
| 3503 | 29 #include <iostream> |
| 458 | 30 |
| 4669 | 31 #include "Array-util.h" |
| 1368 | 32 #include "lo-error.h" |
| 458 | 33 #include "mx-base.h" |
| 34 #include "mx-inlines.cc" | |
| 1650 | 35 #include "oct-cmplx.h" |
| 458 | 36 |
| 1360 | 37 // Diagonal Matrix class. |
| 458 | 38 |
| 2385 | 39 bool |
| 458 | 40 DiagMatrix::operator == (const DiagMatrix& a) const |
| 41 { | |
| 42 if (rows () != a.rows () || cols () != a.cols ()) | |
| 43 return 0; | |
| 44 | |
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45 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 46 } |
| 47 | |
| 2385 | 48 bool |
| 458 | 49 DiagMatrix::operator != (const DiagMatrix& a) const |
| 50 { | |
| 51 return !(*this == a); | |
| 52 } | |
| 53 | |
| 54 DiagMatrix& | |
| 55 DiagMatrix::fill (double val) | |
| 56 { | |
| 5275 | 57 for (octave_idx_type i = 0; i < length (); i++) |
| 458 | 58 elem (i, i) = val; |
| 59 return *this; | |
| 60 } | |
| 61 | |
| 62 DiagMatrix& | |
| 5275 | 63 DiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
| 458 | 64 { |
| 65 if (beg < 0 || end >= length () || end < beg) | |
| 66 { | |
| 67 (*current_liboctave_error_handler) ("range error for fill"); | |
| 68 return *this; | |
| 69 } | |
| 70 | |
| 5275 | 71 for (octave_idx_type i = beg; i <= end; i++) |
| 458 | 72 elem (i, i) = val; |
| 73 | |
| 74 return *this; | |
| 75 } | |
| 76 | |
| 77 DiagMatrix& | |
| 78 DiagMatrix::fill (const ColumnVector& a) | |
| 79 { | |
| 5275 | 80 octave_idx_type len = length (); |
| 458 | 81 if (a.length () != len) |
| 82 { | |
| 83 (*current_liboctave_error_handler) ("range error for fill"); | |
| 84 return *this; | |
| 85 } | |
| 86 | |
| 5275 | 87 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 88 elem (i, i) = a.elem (i); |
| 89 | |
| 90 return *this; | |
| 91 } | |
| 92 | |
| 93 DiagMatrix& | |
| 94 DiagMatrix::fill (const RowVector& a) | |
| 95 { | |
| 5275 | 96 octave_idx_type len = length (); |
| 458 | 97 if (a.length () != len) |
| 98 { | |
| 99 (*current_liboctave_error_handler) ("range error for fill"); | |
| 100 return *this; | |
| 101 } | |
| 102 | |
| 5275 | 103 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 104 elem (i, i) = a.elem (i); |
| 105 | |
| 106 return *this; | |
| 107 } | |
| 108 | |
| 109 DiagMatrix& | |
| 5275 | 110 DiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
| 458 | 111 { |
| 5275 | 112 octave_idx_type a_len = a.length (); |
| 458 | 113 if (beg < 0 || beg + a_len >= length ()) |
| 114 { | |
| 115 (*current_liboctave_error_handler) ("range error for fill"); | |
| 116 return *this; | |
| 117 } | |
| 118 | |
| 5275 | 119 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 120 elem (i+beg, i+beg) = a.elem (i); |
| 121 | |
| 122 return *this; | |
| 123 } | |
| 124 | |
| 125 DiagMatrix& | |
| 5275 | 126 DiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
| 458 | 127 { |
| 5275 | 128 octave_idx_type a_len = a.length (); |
| 458 | 129 if (beg < 0 || beg + a_len >= length ()) |
| 130 { | |
| 131 (*current_liboctave_error_handler) ("range error for fill"); | |
| 132 return *this; | |
| 133 } | |
| 134 | |
| 5275 | 135 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 136 elem (i+beg, i+beg) = a.elem (i); |
| 137 | |
| 138 return *this; | |
| 139 } | |
| 140 | |
| 141 DiagMatrix | |
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142 DiagMatrix::abs (void) const |
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143 { |
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144 return DiagMatrix (extract_diag ().abs (), rows (), columns ()); |
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145 } |
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146 |
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147 DiagMatrix |
| 1205 | 148 real (const ComplexDiagMatrix& a) |
| 149 { | |
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150 return DiagMatrix (real (a.extract_diag ()), a.rows (), a.cols ()); |
| 1205 | 151 } |
| 152 | |
| 153 DiagMatrix | |
| 154 imag (const ComplexDiagMatrix& a) | |
| 155 { | |
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156 return DiagMatrix (imag (a.extract_diag ()), a.rows (), a.cols ()); |
| 1205 | 157 } |
| 158 | |
| 458 | 159 Matrix |
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160 DiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, |
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161 octave_idx_type r2, octave_idx_type c2) const |
| 458 | 162 { |
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163 if (r1 > r2) { std::swap (r1, r2); } |
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164 if (c1 > c2) { std::swap (c1, c2); } |
| 458 | 165 |
| 5275 | 166 octave_idx_type new_r = r2 - r1 + 1; |
| 167 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 168 |
| 169 Matrix result (new_r, new_c); | |
| 170 | |
| 5275 | 171 for (octave_idx_type j = 0; j < new_c; j++) |
| 172 for (octave_idx_type i = 0; i < new_r; i++) | |
| 458 | 173 result.elem (i, j) = elem (r1+i, c1+j); |
| 174 | |
| 175 return result; | |
| 176 } | |
| 177 | |
| 178 // extract row or column i. | |
| 179 | |
| 180 RowVector | |
| 5275 | 181 DiagMatrix::row (octave_idx_type i) const |
| 458 | 182 { |
| 5275 | 183 octave_idx_type r = rows (); |
| 184 octave_idx_type c = cols (); | |
| 3504 | 185 if (i < 0 || i >= r) |
| 458 | 186 { |
| 187 (*current_liboctave_error_handler) ("invalid row selection"); | |
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188 return RowVector (); |
| 458 | 189 } |
| 190 | |
| 3504 | 191 RowVector retval (c, 0.0); |
| 192 if (r <= c || (r > c && i < c)) | |
| 458 | 193 retval.elem (i) = elem (i, i); |
| 194 | |
| 195 return retval; | |
| 196 } | |
| 197 | |
| 198 RowVector | |
| 199 DiagMatrix::row (char *s) const | |
| 200 { | |
| 533 | 201 if (! s) |
| 458 | 202 { |
| 203 (*current_liboctave_error_handler) ("invalid row selection"); | |
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204 return RowVector (); |
| 458 | 205 } |
| 206 | |
| 207 char c = *s; | |
| 208 if (c == 'f' || c == 'F') | |
| 5275 | 209 return row (static_cast<octave_idx_type>(0)); |
| 458 | 210 else if (c == 'l' || c == 'L') |
| 211 return row (rows () - 1); | |
| 212 else | |
| 213 { | |
| 214 (*current_liboctave_error_handler) ("invalid row selection"); | |
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215 return RowVector (); |
| 458 | 216 } |
| 217 } | |
| 218 | |
| 219 ColumnVector | |
| 5275 | 220 DiagMatrix::column (octave_idx_type i) const |
| 458 | 221 { |
| 5275 | 222 octave_idx_type r = rows (); |
| 223 octave_idx_type c = cols (); | |
| 3504 | 224 if (i < 0 || i >= c) |
| 458 | 225 { |
| 226 (*current_liboctave_error_handler) ("invalid column selection"); | |
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227 return ColumnVector (); |
| 458 | 228 } |
| 229 | |
| 3504 | 230 ColumnVector retval (r, 0.0); |
| 231 if (r >= c || (r < c && i < r)) | |
| 458 | 232 retval.elem (i) = elem (i, i); |
| 233 | |
| 234 return retval; | |
| 235 } | |
| 236 | |
| 237 ColumnVector | |
| 238 DiagMatrix::column (char *s) const | |
| 239 { | |
| 533 | 240 if (! s) |
| 458 | 241 { |
| 242 (*current_liboctave_error_handler) ("invalid column selection"); | |
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243 return ColumnVector (); |
| 458 | 244 } |
| 245 | |
| 246 char c = *s; | |
| 247 if (c == 'f' || c == 'F') | |
| 5275 | 248 return column (static_cast<octave_idx_type>(0)); |
| 458 | 249 else if (c == 'l' || c == 'L') |
| 250 return column (cols () - 1); | |
| 251 else | |
| 252 { | |
| 253 (*current_liboctave_error_handler) ("invalid column selection"); | |
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254 return ColumnVector (); |
| 458 | 255 } |
| 256 } | |
| 257 | |
| 258 DiagMatrix | |
| 259 DiagMatrix::inverse (void) const | |
| 260 { | |
| 8811 | 261 octave_idx_type info; |
| 458 | 262 return inverse (info); |
| 263 } | |
| 264 | |
| 265 DiagMatrix | |
| 8811 | 266 DiagMatrix::inverse (octave_idx_type &info) const |
| 458 | 267 { |
| 5275 | 268 octave_idx_type r = rows (); |
| 269 octave_idx_type c = cols (); | |
| 270 octave_idx_type len = length (); | |
| 3504 | 271 if (r != c) |
| 458 | 272 { |
| 273 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 274 return DiagMatrix (); | |
| 275 } | |
| 276 | |
| 3504 | 277 DiagMatrix retval (r, c); |
| 1627 | 278 |
| 458 | 279 info = 0; |
| 5275 | 280 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 281 { |
| 282 if (elem (i, i) == 0.0) | |
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283 { |
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284 info = -1; |
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285 return *this; |
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286 } |
| 458 | 287 else |
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288 retval.elem (i, i) = 1.0 / elem (i, i); |
| 458 | 289 } |
| 290 | |
| 1627 | 291 return retval; |
| 458 | 292 } |
| 293 | |
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294 DiagMatrix |
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295 DiagMatrix::pseudo_inverse (double tol) const |
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296 { |
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297 octave_idx_type r = rows (); |
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298 octave_idx_type c = cols (); |
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299 octave_idx_type len = length (); |
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300 |
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301 DiagMatrix retval (c, r); |
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302 |
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303 for (octave_idx_type i = 0; i < len; i++) |
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304 { |
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305 double val = std::abs (elem (i, i)); |
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306 if (val < tol || val == 0.0) |
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307 retval.elem (i, i) = 0.0; |
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308 else |
| 18562 | 309 retval.elem (i, i) = 1.0 / elem (i, i); |
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310 } |
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311 |
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312 return retval; |
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313 } |
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314 |
| 458 | 315 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
| 316 | |
| 317 // diagonal matrix by diagonal matrix -> diagonal matrix operations | |
| 318 | |
| 319 DiagMatrix | |
| 320 operator * (const DiagMatrix& a, const DiagMatrix& b) | |
| 321 { | |
| 5275 | 322 octave_idx_type a_nr = a.rows (); |
| 323 octave_idx_type a_nc = a.cols (); | |
| 2385 | 324 |
| 5275 | 325 octave_idx_type b_nr = b.rows (); |
| 326 octave_idx_type b_nc = b.cols (); | |
| 2385 | 327 |
| 3504 | 328 if (a_nc != b_nr) |
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329 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 458 | 330 |
| 3504 | 331 DiagMatrix c (a_nr, b_nc); |
| 458 | 332 |
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333 octave_idx_type len = c.length (); |
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334 octave_idx_type lenm = len < a_nc ? len : a_nc; |
| 458 | 335 |
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336 for (octave_idx_type i = 0; i < lenm; i++) |
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337 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i); |
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338 for (octave_idx_type i = lenm; i < len; i++) |
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339 c.dgxelem (i) = 0.0; |
| 458 | 340 |
| 341 return c; | |
| 342 } | |
| 343 | |
| 344 // other operations | |
| 345 | |
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346 DET |
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347 DiagMatrix::determinant (void) const |
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348 { |
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349 DET det (1.0); |
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350 if (rows () != cols ()) |
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351 { |
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352 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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353 det = 0.0; |
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354 } |
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355 else |
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356 { |
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357 octave_idx_type len = length (); |
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358 for (octave_idx_type i = 0; i < len; i++) |
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359 det *= elem (i, i); |
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360 } |
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361 |
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362 return det; |
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363 } |
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364 |
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365 double |
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366 DiagMatrix::rcond (void) const |
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367 { |
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368 ColumnVector av = extract_diag (0).map<double> (fabs); |
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369 double amx = av.max (); |
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370 double amn = av.min (); |
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371 return amx == 0 ? 0.0 : amn / amx; |
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372 } |
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373 |
| 3504 | 374 std::ostream& |
| 375 operator << (std::ostream& os, const DiagMatrix& a) | |
| 458 | 376 { |
| 377 // int field_width = os.precision () + 7; | |
| 1360 | 378 |
| 5275 | 379 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 380 { |
| 5275 | 381 for (octave_idx_type j = 0; j < a.cols (); j++) |
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382 { |
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383 if (i == j) |
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384 os << " " /* setw (field_width) */ << a.elem (i, i); |
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385 else |
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386 os << " " /* setw (field_width) */ << 0.0; |
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387 } |
| 458 | 388 os << "\n"; |
| 389 } | |
| 390 return os; | |
| 391 } |