Mercurial > hg > octave-nkf
annotate liboctave/dDiagMatrix.cc @ 10396:a0b51ac0f88a
optimize accumdim with summation
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Fri, 05 Mar 2010 12:31:30 +0100 |
| parents | a0728e81ed25 |
| children | fd0a3ac60b0e |
| rev | line source |
|---|---|
| 1993 | 1 // DiagMatrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 2000, 2001, 2002, 2003, 2004, |
| 8920 | 5 2005, 2007, 2008, 2009 John W. Eaton |
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6 Copyright (C) 2009 VZLU Prague |
| 458 | 7 |
| 8 This file is part of Octave. | |
| 9 | |
| 10 Octave is free software; you can redistribute it and/or modify it | |
| 11 under the terms of the GNU General Public License as published by the | |
| 7016 | 12 Free Software Foundation; either version 3 of the License, or (at your |
| 13 option) any later version. | |
| 458 | 14 |
| 15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 18 for more details. | |
| 19 | |
| 20 You should have received a copy of the GNU General Public License | |
| 7016 | 21 along with Octave; see the file COPYING. If not, see |
| 22 <http://www.gnu.org/licenses/>. | |
| 458 | 23 |
| 24 */ | |
| 25 | |
| 26 #ifdef HAVE_CONFIG_H | |
| 1192 | 27 #include <config.h> |
| 458 | 28 #endif |
| 29 | |
| 3503 | 30 #include <iostream> |
| 458 | 31 |
| 4669 | 32 #include "Array-util.h" |
| 1368 | 33 #include "lo-error.h" |
| 458 | 34 #include "mx-base.h" |
| 35 #include "mx-inlines.cc" | |
| 1650 | 36 #include "oct-cmplx.h" |
| 458 | 37 |
| 1360 | 38 // Diagonal Matrix class. |
| 458 | 39 |
| 2385 | 40 bool |
| 458 | 41 DiagMatrix::operator == (const DiagMatrix& a) const |
| 42 { | |
| 43 if (rows () != a.rows () || cols () != a.cols ()) | |
| 44 return 0; | |
| 45 | |
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46 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 47 } |
| 48 | |
| 2385 | 49 bool |
| 458 | 50 DiagMatrix::operator != (const DiagMatrix& a) const |
| 51 { | |
| 52 return !(*this == a); | |
| 53 } | |
| 54 | |
| 55 DiagMatrix& | |
| 56 DiagMatrix::fill (double val) | |
| 57 { | |
| 5275 | 58 for (octave_idx_type i = 0; i < length (); i++) |
| 458 | 59 elem (i, i) = val; |
| 60 return *this; | |
| 61 } | |
| 62 | |
| 63 DiagMatrix& | |
| 5275 | 64 DiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
| 458 | 65 { |
| 66 if (beg < 0 || end >= length () || end < beg) | |
| 67 { | |
| 68 (*current_liboctave_error_handler) ("range error for fill"); | |
| 69 return *this; | |
| 70 } | |
| 71 | |
| 5275 | 72 for (octave_idx_type i = beg; i <= end; i++) |
| 458 | 73 elem (i, i) = val; |
| 74 | |
| 75 return *this; | |
| 76 } | |
| 77 | |
| 78 DiagMatrix& | |
| 79 DiagMatrix::fill (const ColumnVector& a) | |
| 80 { | |
| 5275 | 81 octave_idx_type len = length (); |
| 458 | 82 if (a.length () != len) |
| 83 { | |
| 84 (*current_liboctave_error_handler) ("range error for fill"); | |
| 85 return *this; | |
| 86 } | |
| 87 | |
| 5275 | 88 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 89 elem (i, i) = a.elem (i); |
| 90 | |
| 91 return *this; | |
| 92 } | |
| 93 | |
| 94 DiagMatrix& | |
| 95 DiagMatrix::fill (const RowVector& a) | |
| 96 { | |
| 5275 | 97 octave_idx_type len = length (); |
| 458 | 98 if (a.length () != len) |
| 99 { | |
| 100 (*current_liboctave_error_handler) ("range error for fill"); | |
| 101 return *this; | |
| 102 } | |
| 103 | |
| 5275 | 104 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 105 elem (i, i) = a.elem (i); |
| 106 | |
| 107 return *this; | |
| 108 } | |
| 109 | |
| 110 DiagMatrix& | |
| 5275 | 111 DiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
| 458 | 112 { |
| 5275 | 113 octave_idx_type a_len = a.length (); |
| 458 | 114 if (beg < 0 || beg + a_len >= length ()) |
| 115 { | |
| 116 (*current_liboctave_error_handler) ("range error for fill"); | |
| 117 return *this; | |
| 118 } | |
| 119 | |
| 5275 | 120 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 121 elem (i+beg, i+beg) = a.elem (i); |
| 122 | |
| 123 return *this; | |
| 124 } | |
| 125 | |
| 126 DiagMatrix& | |
| 5275 | 127 DiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
| 458 | 128 { |
| 5275 | 129 octave_idx_type a_len = a.length (); |
| 458 | 130 if (beg < 0 || beg + a_len >= length ()) |
| 131 { | |
| 132 (*current_liboctave_error_handler) ("range error for fill"); | |
| 133 return *this; | |
| 134 } | |
| 135 | |
| 5275 | 136 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 137 elem (i+beg, i+beg) = a.elem (i); |
| 138 | |
| 139 return *this; | |
| 140 } | |
| 141 | |
| 142 DiagMatrix | |
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143 DiagMatrix::abs (void) const |
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144 { |
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145 return DiagMatrix (diag ().abs (), rows (), columns ()); |
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146 } |
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147 |
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148 DiagMatrix |
| 1205 | 149 real (const ComplexDiagMatrix& a) |
| 150 { | |
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151 return DiagMatrix (real (a.diag ()), a.rows (), a.cols ()); |
| 1205 | 152 } |
| 153 | |
| 154 DiagMatrix | |
| 155 imag (const ComplexDiagMatrix& a) | |
| 156 { | |
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157 return DiagMatrix (imag (a.diag ()), a.rows (), a.cols ()); |
| 1205 | 158 } |
| 159 | |
| 458 | 160 Matrix |
| 5275 | 161 DiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 162 { |
| 5275 | 163 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 164 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 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"); | |
| 188 return RowVector (); | |
| 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"); | |
| 204 return RowVector (); | |
| 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"); | |
| 215 return RowVector (); | |
| 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"); | |
| 227 return ColumnVector (); | |
| 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"); | |
| 243 return ColumnVector (); | |
| 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"); | |
| 254 return ColumnVector (); | |
| 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 (void) 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 if (elem (i, i) != 0.0) |
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306 retval.elem (i, i) = 1.0 / elem (i, i); |
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307 else |
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308 retval.elem (i, i) = 0.0; |
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309 } |
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310 |
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311 return retval; |
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312 } |
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313 |
| 458 | 314 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
| 315 | |
| 316 // diagonal matrix by diagonal matrix -> diagonal matrix operations | |
| 317 | |
| 318 DiagMatrix | |
| 319 operator * (const DiagMatrix& a, const DiagMatrix& b) | |
| 320 { | |
| 5275 | 321 octave_idx_type a_nr = a.rows (); |
| 322 octave_idx_type a_nc = a.cols (); | |
| 2385 | 323 |
| 5275 | 324 octave_idx_type b_nr = b.rows (); |
| 325 octave_idx_type b_nc = b.cols (); | |
| 2385 | 326 |
| 3504 | 327 if (a_nc != b_nr) |
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328 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 458 | 329 |
| 3504 | 330 DiagMatrix c (a_nr, b_nc); |
| 458 | 331 |
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332 octave_idx_type len = c.length (), lenm = len < a_nc ? len : a_nc; |
| 458 | 333 |
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334 for (octave_idx_type i = 0; i < lenm; i++) |
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335 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i); |
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336 for (octave_idx_type i = lenm; i < len; i++) |
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337 c.dgxelem (i) = 0.0; |
| 458 | 338 |
| 339 return c; | |
| 340 } | |
| 341 | |
| 342 // other operations | |
| 343 | |
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344 DET |
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345 DiagMatrix::determinant (void) const |
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346 { |
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347 DET det (1.0); |
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348 if (rows () != cols ()) |
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349 { |
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350 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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351 det = 0.0; |
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352 } |
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353 else |
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354 { |
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355 octave_idx_type len = length (); |
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356 for (octave_idx_type i = 0; i < len; i++) |
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357 det *= elem (i, i); |
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358 } |
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359 |
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360 return det; |
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361 } |
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362 |
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363 double |
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364 DiagMatrix::rcond (void) const |
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365 { |
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366 ColumnVector av = diag (0).map<double> (fabs); |
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367 double amx = av.max (), amn = av.min (); |
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368 return amx == 0 ? 0.0 : amn / amx; |
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369 } |
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370 |
| 3504 | 371 std::ostream& |
| 372 operator << (std::ostream& os, const DiagMatrix& a) | |
| 458 | 373 { |
| 374 // int field_width = os.precision () + 7; | |
| 1360 | 375 |
| 5275 | 376 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 377 { |
| 5275 | 378 for (octave_idx_type j = 0; j < a.cols (); j++) |
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379 { |
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380 if (i == j) |
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381 os << " " /* setw (field_width) */ << a.elem (i, i); |
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382 else |
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383 os << " " /* setw (field_width) */ << 0.0; |
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384 } |
| 458 | 385 os << "\n"; |
| 386 } | |
| 387 return os; | |
| 388 } |