... | ... |
@@ -31,15 +31,12 @@ |
31 | 31 |
/// operations. |
32 | 32 |
/// |
33 | 33 |
/// The class \ref lemon::dim2::BoundingBox "dim2::BoundingBox" |
34 | 34 |
/// can be used to determine |
35 | 35 |
/// the rectangular bounding box of a set of |
36 | 36 |
/// \ref lemon::dim2::Point "dim2::Point"'s. |
37 |
/// |
|
38 |
///\author Attila Bernath |
|
39 |
|
|
40 | 37 |
|
41 | 38 |
namespace lemon { |
42 | 39 |
|
43 | 40 |
///Tools for handling two dimensional coordinates |
44 | 41 |
|
45 | 42 |
///This namespace is a storage of several |
... | ... |
@@ -59,27 +56,27 @@ |
59 | 56 |
class Point { |
60 | 57 |
|
61 | 58 |
public: |
62 | 59 |
|
63 | 60 |
typedef T Value; |
64 | 61 |
|
65 |
///First |
|
62 |
///First coordinate |
|
66 | 63 |
T x; |
67 |
///Second |
|
64 |
///Second coordinate |
|
68 | 65 |
T y; |
69 | 66 |
|
70 | 67 |
///Default constructor |
71 | 68 |
Point() {} |
72 | 69 |
|
73 | 70 |
///Construct an instance from coordinates |
74 | 71 |
Point(T a, T b) : x(a), y(b) { } |
75 | 72 |
|
76 | 73 |
///The dimension of the vector. |
77 | 74 |
|
78 |
///This class give back always 2. |
|
79 |
/// |
|
75 |
///The dimension of the vector. |
|
76 |
///This function always returns 2. |
|
80 | 77 |
int size() const { return 2; } |
81 | 78 |
|
82 | 79 |
///Subscripting operator |
83 | 80 |
|
84 | 81 |
///\c p[0] is \c p.x and \c p[1] is \c p.y |
85 | 82 |
/// |
... | ... |
@@ -135,13 +132,13 @@ |
135 | 132 |
///Return the sum of two vectors |
136 | 133 |
Point<T> operator+(const Point<T> &u) const { |
137 | 134 |
Point<T> b=*this; |
138 | 135 |
return b+=u; |
139 | 136 |
} |
140 | 137 |
|
141 |
///Return the |
|
138 |
///Return the negative of the vector |
|
142 | 139 |
Point<T> operator-() const { |
143 | 140 |
Point<T> b=*this; |
144 | 141 |
b.x=-b.x; b.y=-b.y; |
145 | 142 |
return b; |
146 | 143 |
} |
147 | 144 |
|
... | ... |
@@ -172,32 +169,32 @@ |
172 | 169 |
bool operator!=(Point u) const { |
173 | 170 |
return (x!=u.x) || (y!=u.y); |
174 | 171 |
} |
175 | 172 |
|
176 | 173 |
}; |
177 | 174 |
|
178 |
///Return |
|
175 |
///Return a Point |
|
179 | 176 |
|
180 |
///Return |
|
177 |
///Return a Point. |
|
181 | 178 |
///\relates Point |
182 | 179 |
template <typename T> |
183 | 180 |
inline Point<T> makePoint(const T& x, const T& y) { |
184 | 181 |
return Point<T>(x, y); |
185 | 182 |
} |
186 | 183 |
|
187 | 184 |
///Return a vector multiplied by a scalar |
188 | 185 |
|
189 |
///Return a vector multiplied by a scalar |
|
186 |
///Return a vector multiplied by a scalar. |
|
190 | 187 |
///\relates Point |
191 | 188 |
template<typename T> Point<T> operator*(const T &u,const Point<T> &x) { |
192 | 189 |
return x*u; |
193 | 190 |
} |
194 | 191 |
|
195 | 192 |
///Read a plainvector from a stream |
196 | 193 |
|
197 |
///Read a plainvector from a stream |
|
194 |
///Read a plainvector from a stream. |
|
198 | 195 |
///\relates Point |
199 | 196 |
/// |
200 | 197 |
template<typename T> |
201 | 198 |
inline std::istream& operator>>(std::istream &is, Point<T> &z) { |
202 | 199 |
char c; |
203 | 200 |
if (is >> c) { |
... | ... |
@@ -219,47 +216,47 @@ |
219 | 216 |
} |
220 | 217 |
return is; |
221 | 218 |
} |
222 | 219 |
|
223 | 220 |
///Write a plainvector to a stream |
224 | 221 |
|
225 |
///Write a plainvector to a stream |
|
222 |
///Write a plainvector to a stream. |
|
226 | 223 |
///\relates Point |
227 | 224 |
/// |
228 | 225 |
template<typename T> |
229 | 226 |
inline std::ostream& operator<<(std::ostream &os, const Point<T>& z) |
230 | 227 |
{ |
231 | 228 |
os << "(" << z.x << ", " << z.y << ")"; |
232 | 229 |
return os; |
233 | 230 |
} |
234 | 231 |
|
235 | 232 |
///Rotate by 90 degrees |
236 | 233 |
|
237 |
///Returns |
|
234 |
///Returns the parameter rotated by 90 degrees in positive direction. |
|
238 | 235 |
///\relates Point |
239 | 236 |
/// |
240 | 237 |
template<typename T> |
241 | 238 |
inline Point<T> rot90(const Point<T> &z) |
242 | 239 |
{ |
243 | 240 |
return Point<T>(-z.y,z.x); |
244 | 241 |
} |
245 | 242 |
|
246 | 243 |
///Rotate by 180 degrees |
247 | 244 |
|
248 |
///Returns |
|
245 |
///Returns the parameter rotated by 180 degrees. |
|
249 | 246 |
///\relates Point |
250 | 247 |
/// |
251 | 248 |
template<typename T> |
252 | 249 |
inline Point<T> rot180(const Point<T> &z) |
253 | 250 |
{ |
254 | 251 |
return Point<T>(-z.x,-z.y); |
255 | 252 |
} |
256 | 253 |
|
257 | 254 |
///Rotate by 270 degrees |
258 | 255 |
|
259 |
///Returns |
|
256 |
///Returns the parameter rotated by 90 degrees in negative direction. |
|
260 | 257 |
///\relates Point |
261 | 258 |
/// |
262 | 259 |
template<typename T> |
263 | 260 |
inline Point<T> rot270(const Point<T> &z) |
264 | 261 |
{ |
265 | 262 |
return Point<T>(z.y,-z.x); |
... | ... |
@@ -268,13 +265,12 @@ |
268 | 265 |
|
269 | 266 |
|
270 | 267 |
/// A class to calculate or store the bounding box of plainvectors. |
271 | 268 |
|
272 | 269 |
/// A class to calculate or store the bounding box of plainvectors. |
273 | 270 |
/// |
274 |
///\author Attila Bernath |
|
275 | 271 |
template<typename T> |
276 | 272 |
class BoundingBox { |
277 | 273 |
Point<T> bottom_left, top_right; |
278 | 274 |
bool _empty; |
279 | 275 |
public: |
280 | 276 |
|
... | ... |
@@ -283,35 +279,46 @@ |
283 | 279 |
|
284 | 280 |
///Construct an instance from one point |
285 | 281 |
BoundingBox(Point<T> a) { bottom_left=top_right=a; _empty = false; } |
286 | 282 |
|
287 | 283 |
///Construct an instance from two points |
288 | 284 |
|
289 |
///Construct an instance from two points |
|
290 |
///\warning The coordinates of the bottom-left corner must be no more |
|
291 |
/// |
|
285 |
///Construct an instance from two points. |
|
286 |
///\param a The bottom left corner. |
|
287 |
///\param b The top right corner. |
|
288 |
///\warning The coordinates of the bottom left corner must be no more |
|
289 |
///than those of the top right one. |
|
292 | 290 |
BoundingBox(Point<T> a,Point<T> b) |
293 | 291 |
{ |
294 | 292 |
bottom_left=a; |
295 | 293 |
top_right=b; |
296 | 294 |
_empty = false; |
297 | 295 |
} |
298 | 296 |
|
299 | 297 |
///Construct an instance from four numbers |
300 | 298 |
|
301 |
///Construct an instance from four numbers |
|
302 |
///\warning The coordinates of the bottom-left corner must be no more |
|
303 |
/// |
|
299 |
///Construct an instance from four numbers. |
|
300 |
///\param l The left side of the box. |
|
301 |
///\param b The bottom of the box. |
|
302 |
///\param r The right side of the box. |
|
303 |
///\param t The top of the box. |
|
304 |
///\warning The left side must be no more than the right side and |
|
305 |
///bottom must be no more than the top. |
|
304 | 306 |
BoundingBox(T l,T b,T r,T t) |
305 | 307 |
{ |
306 | 308 |
bottom_left=Point<T>(l,b); |
307 | 309 |
top_right=Point<T>(r,t); |
308 | 310 |
_empty = false; |
309 | 311 |
} |
310 | 312 |
|
311 |
/// |
|
313 |
///Return \c true if the bounding box is empty. |
|
314 |
|
|
315 |
///Return \c true if the bounding box is empty (i.e. return \c false |
|
316 |
///if at least one point was added to the box or the coordinates of |
|
317 |
///the box were set). |
|
318 |
///The coordinates of an empty bounding box are not defined. |
|
312 | 319 |
bool empty() const { |
313 | 320 |
return _empty; |
314 | 321 |
} |
315 | 322 |
|
316 | 323 |
///Make the BoundingBox empty |
317 | 324 |
void clear() { |
... | ... |
@@ -326,13 +333,13 @@ |
326 | 333 |
return bottom_left; |
327 | 334 |
} |
328 | 335 |
|
329 | 336 |
///Set the bottom left corner |
330 | 337 |
|
331 | 338 |
///Set the bottom left corner. |
332 |
///It should only |
|
339 |
///It should only be used for non-empty box. |
|
333 | 340 |
void bottomLeft(Point<T> p) { |
334 | 341 |
bottom_left = p; |
335 | 342 |
} |
336 | 343 |
|
337 | 344 |
///Give back the top right corner |
338 | 345 |
|
... | ... |
@@ -342,13 +349,13 @@ |
342 | 349 |
return top_right; |
343 | 350 |
} |
344 | 351 |
|
345 | 352 |
///Set the top right corner |
346 | 353 |
|
347 | 354 |
///Set the top right corner. |
348 |
///It should only |
|
355 |
///It should only be used for non-empty box. |
|
349 | 356 |
void topRight(Point<T> p) { |
350 | 357 |
top_right = p; |
351 | 358 |
} |
352 | 359 |
|
353 | 360 |
///Give back the bottom right corner |
354 | 361 |
|
... | ... |
@@ -358,13 +365,13 @@ |
358 | 365 |
return Point<T>(top_right.x,bottom_left.y); |
359 | 366 |
} |
360 | 367 |
|
361 | 368 |
///Set the bottom right corner |
362 | 369 |
|
363 | 370 |
///Set the bottom right corner. |
364 |
///It should only |
|
371 |
///It should only be used for non-empty box. |
|
365 | 372 |
void bottomRight(Point<T> p) { |
366 | 373 |
top_right.x = p.x; |
367 | 374 |
bottom_left.y = p.y; |
368 | 375 |
} |
369 | 376 |
|
370 | 377 |
///Give back the top left corner |
... | ... |
@@ -375,13 +382,13 @@ |
375 | 382 |
return Point<T>(bottom_left.x,top_right.y); |
376 | 383 |
} |
377 | 384 |
|
378 | 385 |
///Set the top left corner |
379 | 386 |
|
380 | 387 |
///Set the top left corner. |
381 |
///It should only |
|
388 |
///It should only be used for non-empty box. |
|
382 | 389 |
void topLeft(Point<T> p) { |
383 | 390 |
top_right.y = p.y; |
384 | 391 |
bottom_left.x = p.x; |
385 | 392 |
} |
386 | 393 |
|
387 | 394 |
///Give back the bottom of the box |
... | ... |
@@ -392,13 +399,13 @@ |
392 | 399 |
return bottom_left.y; |
393 | 400 |
} |
394 | 401 |
|
395 | 402 |
///Set the bottom of the box |
396 | 403 |
|
397 | 404 |
///Set the bottom of the box. |
398 |
///It should only |
|
405 |
///It should only be used for non-empty box. |
|
399 | 406 |
void bottom(T t) { |
400 | 407 |
bottom_left.y = t; |
401 | 408 |
} |
402 | 409 |
|
403 | 410 |
///Give back the top of the box |
404 | 411 |
|
... | ... |
@@ -408,13 +415,13 @@ |
408 | 415 |
return top_right.y; |
409 | 416 |
} |
410 | 417 |
|
411 | 418 |
///Set the top of the box |
412 | 419 |
|
413 | 420 |
///Set the top of the box. |
414 |
///It should only |
|
421 |
///It should only be used for non-empty box. |
|
415 | 422 |
void top(T t) { |
416 | 423 |
top_right.y = t; |
417 | 424 |
} |
418 | 425 |
|
419 | 426 |
///Give back the left side of the box |
420 | 427 |
|
... | ... |
@@ -424,13 +431,13 @@ |
424 | 431 |
return bottom_left.x; |
425 | 432 |
} |
426 | 433 |
|
427 | 434 |
///Set the left side of the box |
428 | 435 |
|
429 | 436 |
///Set the left side of the box. |
430 |
///It should only |
|
437 |
///It should only be used for non-empty box. |
|
431 | 438 |
void left(T t) { |
432 | 439 |
bottom_left.x = t; |
433 | 440 |
} |
434 | 441 |
|
435 | 442 |
/// Give back the right side of the box |
436 | 443 |
|
... | ... |
@@ -440,13 +447,13 @@ |
440 | 447 |
return top_right.x; |
441 | 448 |
} |
442 | 449 |
|
443 | 450 |
///Set the right side of the box |
444 | 451 |
|
445 | 452 |
///Set the right side of the box. |
446 |
///It should only |
|
453 |
///It should only be used for non-empty box. |
|
447 | 454 |
void right(T t) { |
448 | 455 |
top_right.x = t; |
449 | 456 |
} |
450 | 457 |
|
451 | 458 |
///Give back the height of the box |
452 | 459 |
|
... | ... |
@@ -462,22 +469,25 @@ |
462 | 469 |
///If the bounding box is empty, then the return value is not defined. |
463 | 470 |
T width() const { |
464 | 471 |
return top_right.x-bottom_left.x; |
465 | 472 |
} |
466 | 473 |
|
467 | 474 |
///Checks whether a point is inside a bounding box |
468 |
bool inside(const Point<T>& u){ |
|
475 |
bool inside(const Point<T>& u) const { |
|
469 | 476 |
if (_empty) |
470 | 477 |
return false; |
471 | 478 |
else{ |
472 | 479 |
return ((u.x-bottom_left.x)*(top_right.x-u.x) >= 0 && |
473 | 480 |
(u.y-bottom_left.y)*(top_right.y-u.y) >= 0 ); |
474 | 481 |
} |
475 | 482 |
} |
476 | 483 |
|
477 | 484 |
///Increments a bounding box with a point |
485 |
|
|
486 |
///Increments a bounding box with a point. |
|
487 |
/// |
|
478 | 488 |
BoundingBox& add(const Point<T>& u){ |
479 | 489 |
if (_empty){ |
480 | 490 |
bottom_left=top_right=u; |
481 | 491 |
_empty = false; |
482 | 492 |
} |
483 | 493 |
else{ |
... | ... |
@@ -486,40 +496,50 @@ |
486 | 496 |
if (top_right.x < u.x) top_right.x = u.x; |
487 | 497 |
if (top_right.y < u.y) top_right.y = u.y; |
488 | 498 |
} |
489 | 499 |
return *this; |
490 | 500 |
} |
491 | 501 |
|
492 |
///Increments a bounding to contain another bounding box |
|
502 |
///Increments a bounding box to contain another bounding box |
|
503 |
|
|
504 |
///Increments a bounding box to contain another bounding box. |
|
505 |
/// |
|
493 | 506 |
BoundingBox& add(const BoundingBox &u){ |
494 | 507 |
if ( !u.empty() ){ |
495 | 508 |
this->add(u.bottomLeft()); |
496 | 509 |
this->add(u.topRight()); |
497 | 510 |
} |
498 | 511 |
return *this; |
499 | 512 |
} |
500 | 513 |
|
501 | 514 |
///Intersection of two bounding boxes |
502 |
|
|
515 |
|
|
516 |
///Intersection of two bounding boxes. |
|
517 |
/// |
|
518 |
BoundingBox operator&(const BoundingBox& u) const { |
|
503 | 519 |
BoundingBox b; |
504 |
b.bottom_left.x=std::max(this->bottom_left.x,u.bottom_left.x); |
|
505 |
b.bottom_left.y=std::max(this->bottom_left.y,u.bottom_left.y); |
|
506 |
b.top_right.x=std::min(this->top_right.x,u.top_right.x); |
|
507 |
b.top_right.y=std::min(this->top_right.y,u.top_right.y); |
|
508 |
b._empty = this->_empty || u._empty || |
|
509 |
b.bottom_left.x>top_right.x && b.bottom_left.y>top_right.y; |
|
520 |
if (this->_empty || u._empty) { |
|
521 |
b._empty = true; |
|
522 |
} else { |
|
523 |
b.bottom_left.x = std::max(this->bottom_left.x,u.bottom_left.x); |
|
524 |
b.bottom_left.y = std::max(this->bottom_left.y,u.bottom_left.y); |
|
525 |
b.top_right.x = std::min(this->top_right.x,u.top_right.x); |
|
526 |
b.top_right.y = std::min(this->top_right.y,u.top_right.y); |
|
527 |
b._empty = b.bottom_left.x > b.top_right.x || |
|
528 |
b.bottom_left.y > b.top_right.y; |
|
529 |
} |
|
510 | 530 |
return b; |
511 | 531 |
} |
512 | 532 |
|
513 | 533 |
};//class Boundingbox |
514 | 534 |
|
515 | 535 |
|
516 |
///Map of x-coordinates of a |
|
536 |
///Map of x-coordinates of a \ref Point "Point"-map |
|
517 | 537 |
|
518 | 538 |
///\ingroup maps |
519 |
///Map of x-coordinates of a |
|
539 |
///Map of x-coordinates of a \ref Point "Point"-map. |
|
520 | 540 |
/// |
521 | 541 |
template<class M> |
522 | 542 |
class XMap |
523 | 543 |
{ |
524 | 544 |
M& _map; |
525 | 545 |
public: |
... | ... |
@@ -567,26 +587,26 @@ |
567 | 587 |
ConstXMap(const M &map) : _map(map) {} |
568 | 588 |
Value operator[](Key k) const {return _map[k].x;} |
569 | 589 |
}; |
570 | 590 |
|
571 | 591 |
///Returns a \ref ConstXMap class |
572 | 592 |
|
573 |
///This function just returns |
|
593 |
///This function just returns a \ref ConstXMap class. |
|
574 | 594 |
/// |
575 | 595 |
///\ingroup maps |
576 | 596 |
///\relates ConstXMap |
577 | 597 |
template<class M> |
578 | 598 |
inline ConstXMap<M> xMap(const M &m) |
579 | 599 |
{ |
580 | 600 |
return ConstXMap<M>(m); |
581 | 601 |
} |
582 | 602 |
|
583 |
///Map of y-coordinates of a |
|
603 |
///Map of y-coordinates of a \ref Point "Point"-map |
|
584 | 604 |
|
585 | 605 |
///\ingroup maps |
586 |
///Map of y-coordinates of a |
|
606 |
///Map of y-coordinates of a \ref Point "Point"-map. |
|
587 | 607 |
/// |
588 | 608 |
template<class M> |
589 | 609 |
class YMap |
590 | 610 |
{ |
591 | 611 |
M& _map; |
592 | 612 |
public: |
... | ... |
@@ -596,15 +616,15 @@ |
596 | 616 |
///\e |
597 | 617 |
YMap(M& map) : _map(map) {} |
598 | 618 |
Value operator[](Key k) const {return _map[k].y;} |
599 | 619 |
void set(Key k,Value v) {_map.set(k,typename M::Value(_map[k].x,v));} |
600 | 620 |
}; |
601 | 621 |
|
602 |
///Returns |
|
622 |
///Returns a \ref YMap class |
|
603 | 623 |
|
604 |
///This function just returns |
|
624 |
///This function just returns a \ref YMap class. |
|
605 | 625 |
/// |
606 | 626 |
///\ingroup maps |
607 | 627 |
///\relates YMap |
608 | 628 |
template<class M> |
609 | 629 |
inline YMap<M> yMap(M &m) |
610 | 630 |
{ |
... | ... |
@@ -634,28 +654,28 @@ |
634 | 654 |
ConstYMap(const M &map) : _map(map) {} |
635 | 655 |
Value operator[](Key k) const {return _map[k].y;} |
636 | 656 |
}; |
637 | 657 |
|
638 | 658 |
///Returns a \ref ConstYMap class |
639 | 659 |
|
640 |
///This function just returns |
|
660 |
///This function just returns a \ref ConstYMap class. |
|
641 | 661 |
/// |
642 | 662 |
///\ingroup maps |
643 | 663 |
///\relates ConstYMap |
644 | 664 |
template<class M> |
645 | 665 |
inline ConstYMap<M> yMap(const M &m) |
646 | 666 |
{ |
647 | 667 |
return ConstYMap<M>(m); |
648 | 668 |
} |
649 | 669 |
|
650 | 670 |
|
651 | 671 |
///\brief Map of the \ref Point::normSquare() "normSquare()" |
652 |
///of |
|
672 |
///of a \ref Point "Point"-map |
|
653 | 673 |
/// |
654 | 674 |
///Map of the \ref Point::normSquare() "normSquare()" |
655 |
///of |
|
675 |
///of a \ref Point "Point"-map. |
|
656 | 676 |
///\ingroup maps |
657 | 677 |
/// |
658 | 678 |
template<class M> |
659 | 679 |
class NormSquareMap |
660 | 680 |
{ |
661 | 681 |
const M& _map; |
... | ... |
@@ -667,13 +687,13 @@ |
667 | 687 |
NormSquareMap(const M &map) : _map(map) {} |
668 | 688 |
Value operator[](Key k) const {return _map[k].normSquare();} |
669 | 689 |
}; |
670 | 690 |
|
671 | 691 |
///Returns a \ref NormSquareMap class |
672 | 692 |
|
673 |
///This function just returns |
|
693 |
///This function just returns a \ref NormSquareMap class. |
|
674 | 694 |
/// |
675 | 695 |
///\ingroup maps |
676 | 696 |
///\relates NormSquareMap |
677 | 697 |
template<class M> |
678 | 698 |
inline NormSquareMap<M> normSquareMap(const M &m) |
679 | 699 |
{ |
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