Mercurial > hg > octave-nkf
annotate liboctave/dim-vector.h @ 10396:a0b51ac0f88a
optimize accumdim with summation
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Fri, 05 Mar 2010 12:31:30 +0100 |
| parents | e5ae13b8b2c2 |
| children | 69ecfbffcf4f |
| rev | line source |
|---|---|
| 4513 | 1 /* |
| 2 | |
| 8920 | 3 Copyright (C) 2003, 2004, 2005, 2006, 2007, 2008, 2009 John W. Eaton |
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4 Copyirght (C) 2009 VZLU Prague |
| 4513 | 5 |
| 6 This file is part of Octave. | |
| 7 | |
| 8 Octave is free software; you can redistribute it and/or modify it | |
| 9 under the terms of the GNU General Public License as published by the | |
| 7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
| 11 option) any later version. | |
| 4513 | 12 |
| 13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 16 for more details. | |
| 17 | |
| 18 You should have received a copy of the GNU General Public License | |
| 7016 | 19 along with Octave; see the file COPYING. If not, see |
| 20 <http://www.gnu.org/licenses/>. | |
| 4513 | 21 |
| 22 */ | |
| 23 | |
| 24 #if !defined (octave_dim_vector_h) | |
| 25 #define octave_dim_vector_h 1 | |
| 26 | |
| 27 #include <cassert> | |
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28 #include <limits> |
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29 |
| 5765 | 30 #include <sstream> |
| 4543 | 31 #include <string> |
| 32 | |
| 6216 | 33 #include "lo-error.h" |
| 4513 | 34 |
| 10150 | 35 // Rationale: This implementation is more tricky than Array, but the |
| 36 // big plus is that dim_vector requires only one allocation instead of | |
| 37 // two. It is (slightly) patterned after GCC's basic_string | |
| 38 // implementation. rep is a pointer to an array of memory, comprising | |
| 39 // count, length, and the data: | |
| 40 // | |
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41 // <count> |
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42 // <ndims> |
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43 // rep --> <dims[0]> |
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44 // <dims[1]> |
| 10150 | 45 // ... |
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46 // |
| 10150 | 47 // The inlines count(), ndims() recover this data from the rep. Note |
| 48 // that rep points to the beginning of dims to grant faster access | |
| 49 // (reinterpret_cast is assumed to be an inexpensive operation). | |
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50 |
| 4513 | 51 class |
| 52 dim_vector | |
| 53 { | |
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54 private: |
| 4513 | 55 |
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56 octave_idx_type *rep; |
| 4548 | 57 |
| 10150 | 58 octave_idx_type& ndims (void) const { return rep[-1]; } |
| 4513 | 59 |
| 10150 | 60 octave_idx_type& count (void) const { return rep[-2]; } |
| 4513 | 61 |
| 10150 | 62 // Construct a new rep with count = 1 and ndims given. |
| 63 | |
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64 static octave_idx_type *newrep (int ndims) |
| 10150 | 65 { |
| 66 octave_idx_type *r = new octave_idx_type[ndims + 2]; | |
| 67 | |
| 68 *r++ = 1; | |
| 69 *r++ = ndims; | |
| 4513 | 70 |
| 10150 | 71 return r; |
| 72 } | |
| 73 | |
| 74 // Clone this->rep. | |
| 75 | |
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76 octave_idx_type *clonerep (void) |
| 10150 | 77 { |
| 78 int l = ndims (); | |
| 79 | |
| 80 octave_idx_type *r = new octave_idx_type[l + 2]; | |
| 81 | |
| 82 *r++ = 1; | |
| 83 *r++ = l; | |
| 4513 | 84 |
| 10150 | 85 for (int i = 0; i < l; i++) |
| 86 r[i] = rep[i]; | |
| 87 | |
| 88 return r; | |
| 89 } | |
| 90 | |
| 91 // Clone and resize this->rep to length n, filling by given value. | |
| 92 | |
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93 octave_idx_type *resizerep (int n, octave_idx_type fill_value) |
| 10150 | 94 { |
| 95 int l = ndims (); | |
| 96 | |
| 97 if (n < 2) | |
| 98 n = 2; | |
| 99 | |
| 100 octave_idx_type *r = new octave_idx_type[n + 2]; | |
| 101 | |
| 102 *r++ = 1; | |
| 103 *r++ = n; | |
| 104 | |
| 105 if (l > n) | |
| 106 l = n; | |
| 4673 | 107 |
| 10150 | 108 int j; |
| 109 for (j = 0; j < l; j++) | |
| 110 r[j] = rep[j]; | |
| 111 for (; j < n; j++) | |
| 112 r[j] = fill_value; | |
| 113 | |
| 114 return r; | |
| 115 } | |
| 116 | |
| 117 // Free the rep. | |
| 118 | |
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119 void freerep (void) |
| 10150 | 120 { |
| 121 assert (count () == 0); | |
| 122 delete [] (rep - 2); | |
| 123 } | |
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124 |
| 4548 | 125 void make_unique (void) |
| 126 { | |
| 10150 | 127 if (count () > 1) |
| 4548 | 128 { |
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129 --count(); |
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130 rep = clonerep (); |
| 4548 | 131 } |
| 132 } | |
| 133 | |
| 134 public: | |
| 135 | |
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136 explicit dim_vector (octave_idx_type n) GCC_ATTR_DEPRECATED |
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137 : rep (newrep (2)) |
| 10150 | 138 { |
| 139 rep[0] = n; | |
| 140 rep[1] = 1; | |
| 141 } | |
| 4548 | 142 |
| 5275 | 143 explicit dim_vector (octave_idx_type r, octave_idx_type c) |
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144 : rep (newrep (2)) |
| 10150 | 145 { |
| 146 rep[0] = r; | |
| 147 rep[1] = c; | |
| 148 } | |
| 4548 | 149 |
| 5275 | 150 explicit dim_vector (octave_idx_type r, octave_idx_type c, octave_idx_type p) |
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151 : rep (newrep (3)) |
| 10150 | 152 { |
| 153 rep[0] = r; | |
| 154 rep[1] = c; | |
| 155 rep[2] = p; | |
| 156 } | |
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157 |
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158 octave_idx_type& elem (int i) |
| 10150 | 159 { |
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160 #ifdef BOUNDS_CHECKING |
| 10150 | 161 assert (i >= 0 && i < ndims ()); |
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162 #endif |
| 10150 | 163 make_unique (); |
| 164 return rep[i]; | |
| 165 } | |
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166 |
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167 octave_idx_type elem (int i) const |
| 10150 | 168 { |
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169 #ifdef BOUNDS_CHECKING |
| 10150 | 170 assert (i >= 0 && i < ndims ()); |
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171 #endif |
| 10150 | 172 return rep[i]; |
| 173 } | |
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174 |
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175 void chop_trailing_singletons (void) |
| 10150 | 176 { |
| 177 int l = ndims (); | |
| 178 if (l > 2 && rep[l-1] == 1) | |
| 179 { | |
| 180 make_unique (); | |
| 181 do | |
| 182 l--; | |
| 183 while (l > 2 && rep[l-1] == 1); | |
| 184 ndims () = l; | |
| 185 } | |
| 186 } | |
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187 |
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188 void chop_all_singletons (void) |
| 10150 | 189 { |
| 190 make_unique (); | |
| 191 | |
| 192 int j = 0; | |
| 193 int l = ndims(); | |
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194 |
| 10150 | 195 for (int i = 0; i < l; i++) |
| 196 { | |
| 197 if (rep[i] != 1) | |
| 198 rep[j++] = rep[i]; | |
| 199 } | |
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200 |
| 10150 | 201 if (j == 1) |
| 202 rep[1] = 1; | |
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203 |
| 10150 | 204 ndims () = j > 2 ? j : 2; |
| 205 } | |
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206 |
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207 private: |
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208 |
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209 static octave_idx_type *nil_rep (void) |
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210 { |
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211 static dim_vector zv (0, 0); |
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212 return zv.rep; |
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213 } |
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214 |
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215 explicit dim_vector (octave_idx_type *r) |
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216 : rep (r) { } |
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217 |
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218 public: |
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219 |
| 10150 | 220 explicit dim_vector (void) : rep (nil_rep ()) { count()++; } |
| 4548 | 221 |
| 10150 | 222 dim_vector (const dim_vector& dv) : rep (dv.rep) { count()++; } |
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223 |
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224 static dim_vector alloc (int n) |
| 10150 | 225 { |
| 226 return dim_vector (newrep (n < 2 ? 2 : n)); | |
| 227 } | |
| 4548 | 228 |
| 229 dim_vector& operator = (const dim_vector& dv) | |
| 230 { | |
| 231 if (&dv != this) | |
| 232 { | |
| 10150 | 233 if (--count() <= 0) |
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234 freerep (); |
| 4548 | 235 |
| 10150 | 236 rep = dv.rep; |
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237 count()++; |
| 4548 | 238 } |
| 239 | |
| 240 return *this; | |
| 241 } | |
| 242 | |
| 243 ~dim_vector (void) | |
| 244 { | |
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245 if (--count() <= 0) |
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246 freerep (); |
| 4548 | 247 } |
| 248 | |
| 10150 | 249 int length (void) const { return ndims (); } |
| 4513 | 250 |
| 5275 | 251 octave_idx_type& operator () (int i) { return elem (i); } |
| 4513 | 252 |
| 5275 | 253 octave_idx_type operator () (int i) const { return elem (i); } |
| 4513 | 254 |
| 4887 | 255 void resize (int n, int fill_value = 0) |
| 4548 | 256 { |
| 257 int len = length (); | |
| 4513 | 258 |
| 4548 | 259 if (n != len) |
| 260 { | |
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261 octave_idx_type *r = resizerep (n, fill_value); |
| 4513 | 262 |
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263 if (--count() <= 0) |
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264 freerep (); |
| 4513 | 265 |
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266 rep = r; |
| 4548 | 267 } |
| 268 } | |
| 4513 | 269 |
| 4559 | 270 std::string str (char sep = 'x') const |
| 4548 | 271 { |
| 5765 | 272 std::ostringstream buf; |
| 4543 | 273 |
| 4548 | 274 for (int i = 0; i < length (); i++) |
| 275 { | |
| 10150 | 276 buf << elem (i); |
| 4543 | 277 |
| 10150 | 278 if (i < length () - 1) |
| 279 buf << sep; | |
| 4548 | 280 } |
| 4543 | 281 |
| 5765 | 282 std::string retval = buf.str (); |
| 4543 | 283 |
| 4548 | 284 return retval; |
| 285 } | |
| 4543 | 286 |
| 287 bool all_zero (void) const | |
| 4548 | 288 { |
| 289 bool retval = true; | |
| 4543 | 290 |
| 4548 | 291 for (int i = 0; i < length (); i++) |
| 292 { | |
| 10150 | 293 if (elem (i) != 0) |
| 294 { | |
| 295 retval = false; | |
| 296 break; | |
| 297 } | |
| 4548 | 298 } |
| 4543 | 299 |
| 4548 | 300 return retval; |
| 301 } | |
| 4559 | 302 |
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303 bool zero_by_zero (void) const |
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304 { |
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305 return length () == 2 && elem (0) == 0 && elem (1) == 0; |
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306 } |
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307 |
| 4559 | 308 bool any_zero (void) const |
| 309 { | |
| 310 bool retval = false; | |
| 311 | |
| 312 for (int i = 0; i < length (); i++) | |
| 313 { | |
| 10150 | 314 if (elem (i) == 0) |
| 315 { | |
| 316 retval = true; | |
| 317 break; | |
| 318 } | |
| 4559 | 319 } |
| 320 | |
| 321 return retval; | |
| 322 } | |
| 4567 | 323 |
| 10150 | 324 int num_ones (void) const |
| 4635 | 325 { |
| 326 int retval = 0; | |
| 327 | |
| 328 for (int i = 0; i < length (); i++) | |
| 329 if (elem (i) == 1) | |
| 10150 | 330 retval++; |
| 4635 | 331 |
| 332 return retval; | |
| 333 } | |
| 334 | |
| 10150 | 335 bool all_ones (void) const |
| 4655 | 336 { |
| 337 return (num_ones () == length ()); | |
| 338 } | |
| 339 | |
| 10150 | 340 // Return the number of elements that a matrix with this dimension |
| 4567 | 341 // vector would have, NOT the number of dimensions (elements in the |
| 342 // dimension vector). | |
| 343 | |
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344 octave_idx_type numel (int n = 0) const |
| 4567 | 345 { |
| 346 int n_dims = length (); | |
| 347 | |
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348 octave_idx_type retval = 1; |
| 4567 | 349 |
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350 for (int i = n; i < n_dims; i++) |
| 4567 | 351 retval *= elem (i); |
| 352 | |
| 353 return retval; | |
| 354 } | |
| 4673 | 355 |
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356 // The following function will throw a std::bad_alloc () |
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357 // exception if the requested size is larger than can be indexed by |
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358 // octave_idx_type. This may be smaller than the actual amount of |
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359 // memory that can be safely allocated on a system. However, if we |
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360 // don't fail here, we can end up with a mysterious crash inside a |
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361 // function that is iterating over an array using octave_idx_type |
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362 // indices. |
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363 |
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364 octave_idx_type safe_numel (void) const |
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365 { |
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366 octave_idx_type idx_max = std::numeric_limits<octave_idx_type>::max () - 1; |
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367 octave_idx_type n = 1; |
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368 int n_dims = length (); |
| 10150 | 369 |
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370 for (int i = 0; i < n_dims; i++) |
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371 { |
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372 n *= rep[i]; |
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373 if (rep[i] != 0) |
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374 idx_max /= rep[i]; |
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375 if (idx_max <= 0) |
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376 throw std::bad_alloc (); |
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377 } |
| 10150 | 378 |
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379 return n; |
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380 } |
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381 |
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382 bool any_neg (void) const |
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383 { |
| 10150 | 384 int n_dims = length (); |
| 385 int i; | |
| 386 | |
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387 for (i = 0; i < n_dims; i++) |
| 10150 | 388 if (elem (i) < 0) |
| 389 break; | |
| 390 | |
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391 return i < n_dims; |
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392 } |
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393 |
| 4735 | 394 dim_vector squeeze (void) const |
| 395 { | |
| 396 dim_vector new_dims = *this; | |
| 397 | |
| 398 bool dims_changed = 1; | |
| 399 | |
| 400 int k = 0; | |
| 401 | |
| 402 for (int i = 0; i < length (); i++) | |
| 403 { | |
| 10150 | 404 if (elem (i) == 1) |
| 405 dims_changed = true; | |
| 406 else | |
| 407 new_dims(k++) = elem (i); | |
| 4735 | 408 } |
| 409 | |
| 410 if (dims_changed) | |
| 411 { | |
| 10150 | 412 if (k == 0) |
| 413 new_dims = dim_vector (1, 1); | |
| 414 else if (k == 1) | |
| 415 { | |
| 416 // There is one non-singleton dimension, so we need | |
| 417 // to decide the correct orientation. | |
| 4735 | 418 |
| 10150 | 419 if (elem (0) == 1) |
| 420 { | |
| 421 // The original dimension vector had a leading | |
| 422 // singleton dimension. | |
| 4735 | 423 |
| 10150 | 424 octave_idx_type tmp = new_dims(0); |
| 425 | |
| 426 new_dims.resize (2); | |
| 4735 | 427 |
| 10150 | 428 new_dims(0) = 1; |
| 429 new_dims(1) = tmp; | |
| 430 } | |
| 431 else | |
| 432 { | |
| 433 // The first element of the original dimension vector | |
| 434 // was not a singleton dimension. | |
| 4735 | 435 |
| 10150 | 436 new_dims.resize (2); |
| 4735 | 437 |
| 10150 | 438 new_dims(1) = 1; |
| 439 } | |
| 440 } | |
| 441 else | |
| 442 new_dims.resize(k); | |
| 4735 | 443 } |
| 444 | |
| 445 return new_dims; | |
| 446 } | |
| 4915 | 447 |
| 448 bool concat (const dim_vector& dvb, int dim = 0) | |
| 449 { | |
| 450 if (all_zero ()) | |
| 451 { | |
| 10150 | 452 *this = dvb; |
| 453 return true; | |
| 4915 | 454 } |
| 455 | |
| 456 if (dvb.all_zero ()) | |
| 457 return true; | |
| 458 | |
| 459 int na = length (); | |
| 460 int nb = dvb.length (); | |
| 461 | |
| 462 // Find the max and min value of na and nb | |
| 463 int n_max = na > nb ? na : nb; | |
| 464 int n_min = na < nb ? na : nb; | |
| 465 | |
| 466 // The elements of the dimension vectors can only differ | |
| 467 // if the dim variable differs from the actual dimension | |
| 468 // they differ. | |
| 469 | |
| 470 for (int i = 0; i < n_min; i++) | |
| 471 { | |
| 10150 | 472 if (elem(i) != dvb(i) && dim != i) |
| 473 return false; | |
| 4915 | 474 } |
| 475 | |
| 476 // Ditto. | |
| 477 for (int i = n_min; i < n_max; i++) | |
| 478 { | |
| 10150 | 479 if (na > n_min) |
| 480 { | |
| 481 if (elem(i) != 1 && dim != i) | |
| 482 return false; | |
| 483 } | |
| 484 else | |
| 485 { | |
| 486 if (dvb(i) != 1 && dim != i) | |
| 487 return false; | |
| 488 } | |
| 4915 | 489 } |
| 490 | |
| 491 // If we want to add the dimension vectors at a dimension | |
| 492 // larger than both, then we need to set n_max to this number | |
| 493 // so that we resize *this to the right dimension. | |
| 494 | |
| 495 n_max = n_max > (dim + 1) ? n_max : (dim + 1); | |
| 496 | |
| 497 // Resize *this to the appropriate dimensions. | |
| 498 | |
| 499 if (n_max > na) | |
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500 resize (n_max, 1); |
| 4915 | 501 |
| 502 // Larger or equal since dim has been decremented by one. | |
| 503 | |
| 504 if (dim >= nb) | |
| 4940 | 505 elem (dim)++; |
| 4915 | 506 else |
| 507 elem (dim) += dvb(dim); | |
| 508 | |
| 509 return true; | |
| 510 } | |
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511 |
| 10150 | 512 // Force certain dimensionality, preserving numel (). Missing |
| 513 // dimensions are set to 1, redundant are folded into the trailing | |
| 514 // one. If n = 1, the result is 2d and the second dim is 1 | |
| 515 // (dim_vectors are always at least 2D). If the original dimensions | |
| 516 // were all zero, the padding value is zero. | |
| 517 | |
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518 dim_vector redim (int n) const |
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519 { |
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520 int n_dims = length (); |
| 10150 | 521 |
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522 if (n_dims == n) |
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523 return *this; |
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524 else if (n_dims < n) |
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525 { |
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526 dim_vector retval = alloc (n); |
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527 |
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528 int pad = 0; |
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529 for (int i = 0; i < n_dims; i++) |
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530 { |
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531 retval.rep[i] = rep[i]; |
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532 if (rep[i] != 0) |
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533 pad = 1; |
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534 } |
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535 |
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536 for (int i = n_dims; i < n; i++) |
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537 retval.rep[i] = pad; |
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538 |
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539 return retval; |
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540 } |
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541 else |
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542 { |
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543 if (n < 1) n = 1; |
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544 |
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545 dim_vector retval = alloc (n); |
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546 |
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547 retval.rep[1] = 1; |
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548 |
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549 for (int i = 0; i < n-1; i++) |
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550 retval.rep[i] = rep[i]; |
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551 |
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552 int k = rep[n-1]; |
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553 for (int i = n; i < n_dims; i++) |
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554 k *= rep[i]; |
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555 |
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556 retval.rep[n-1] = k; |
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557 |
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558 return retval; |
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559 } |
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560 } |
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561 |
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562 dim_vector as_column (void) const |
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563 { |
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564 if (length () == 2 && elem (1) == 1) |
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565 return *this; |
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566 else |
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567 return dim_vector (numel (), 1); |
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568 } |
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569 |
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570 dim_vector as_row (void) const |
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571 { |
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572 if (length () == 2 && elem (0) == 1) |
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573 return *this; |
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574 else |
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575 return dim_vector (1, numel ()); |
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576 } |
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577 |
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578 bool is_vector (void) const |
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579 { |
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580 return (length () == 2 && (elem (0) == 1 || elem (1) == 1)); |
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581 } |
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582 |
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583 int first_non_singleton (int def = 0) const |
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584 { |
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585 for (int i = 0; i < length (); i++) |
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586 { |
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587 if (elem (i) != 1) |
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588 return i; |
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589 } |
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590 |
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591 return def; |
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592 } |
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593 |
| 10150 | 594 // Compute a linear index from an index tuple. |
| 595 | |
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596 octave_idx_type compute_index (const octave_idx_type *idx) |
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597 { |
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598 octave_idx_type k = 0; |
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599 for (int i = length () - 1; i >= 0; i--) |
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600 k = k * rep[i] + idx[i]; |
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601 |
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602 return k; |
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603 } |
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604 |
| 10150 | 605 // Increment a multi-dimensional index tuple, optionally starting |
| 606 // from an offset position and return the index of the last index | |
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607 // position that was changed, or length () if just cycled over. |
| 10150 | 608 |
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609 int increment_index (octave_idx_type *idx, int start = 0) |
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610 { |
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611 int i; |
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612 for (i = start; i < length (); i++) |
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613 { |
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614 if (++(*idx) == rep[i]) |
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615 *idx++ = 0; |
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616 else |
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617 break; |
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618 } |
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619 return i; |
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620 } |
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621 |
| 10150 | 622 // Return cumulative dimensions. |
| 623 | |
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624 dim_vector cumulative (void) const |
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625 { |
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626 int nd = length (); |
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627 dim_vector retval = alloc (nd); |
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628 |
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629 octave_idx_type k = 1; |
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630 for (int i = 0; i < nd; i++) |
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631 retval.rep[i] = k *= rep[i]; |
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632 |
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633 return retval; |
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634 } |
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635 |
| 10150 | 636 // Compute a linear index from an index tuple. Dimensions are |
| 637 // required to be cumulative. | |
| 638 | |
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639 octave_idx_type cum_compute_index (const octave_idx_type *idx) |
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640 { |
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641 octave_idx_type k = idx[0]; |
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642 |
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643 for (int i = 1; i < length (); i++) |
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644 k += rep[i-1] * idx[i]; |
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645 |
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646 return k; |
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647 } |
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648 |
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649 |
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650 friend bool operator == (const dim_vector& a, const dim_vector& b); |
| 4513 | 651 }; |
| 652 | |
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653 inline bool |
| 4543 | 654 operator == (const dim_vector& a, const dim_vector& b) |
| 655 { | |
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656 // Fast case. |
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657 if (a.rep == b.rep) |
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658 return true; |
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659 |
| 4543 | 660 bool retval = true; |
| 661 | |
| 662 int a_len = a.length (); | |
| 663 int b_len = b.length (); | |
| 664 | |
| 665 if (a_len != b_len) | |
| 666 retval = false; | |
| 667 else | |
| 668 { | |
| 669 for (int i = 0; i < a_len; i++) | |
| 10150 | 670 { |
| 671 if (a(i) != b(i)) | |
| 672 { | |
| 673 retval = false; | |
| 674 break; | |
| 675 } | |
| 676 } | |
| 4543 | 677 } |
| 678 | |
| 679 return retval; | |
| 680 } | |
| 681 | |
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682 inline bool |
| 4543 | 683 operator != (const dim_vector& a, const dim_vector& b) |
| 684 { | |
| 685 return ! operator == (a, b); | |
| 686 } | |
| 687 | |
| 4513 | 688 #endif |