1 | /* -*- C++ -*- |
---|
2 | * |
---|
3 | * This file is a part of LEMON, a generic C++ optimization library |
---|
4 | * |
---|
5 | * Copyright (C) 2003-2006 |
---|
6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
---|
7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
---|
8 | * |
---|
9 | * Permission to use, modify and distribute this software is granted |
---|
10 | * provided that this copyright notice appears in all copies. For |
---|
11 | * precise terms see the accompanying LICENSE file. |
---|
12 | * |
---|
13 | * This software is provided "AS IS" with no warranty of any kind, |
---|
14 | * express or implied, and with no claim as to its suitability for any |
---|
15 | * purpose. |
---|
16 | * |
---|
17 | */ |
---|
18 | |
---|
19 | #ifndef LEMON_XY_H |
---|
20 | #define LEMON_XY_H |
---|
21 | |
---|
22 | #include <iostream> |
---|
23 | #include <lemon/bits/utility.h> |
---|
24 | |
---|
25 | ///\ingroup misc |
---|
26 | ///\file |
---|
27 | ///\brief A simple two dimensional vector and a bounding box implementation |
---|
28 | /// |
---|
29 | /// The class \ref lemon::xy "xy" implements |
---|
30 | ///a two dimensional vector with the usual |
---|
31 | /// operations. |
---|
32 | /// |
---|
33 | /// The class \ref lemon::BoundingBox "BoundingBox" can be used to determine |
---|
34 | /// the rectangular bounding box of a set of \ref lemon::xy "xy"'s. |
---|
35 | /// |
---|
36 | ///\author Attila Bernath |
---|
37 | |
---|
38 | |
---|
39 | namespace lemon { |
---|
40 | |
---|
41 | /// \addtogroup misc |
---|
42 | /// @{ |
---|
43 | |
---|
44 | /// A simple two dimensional vector (plainvector) implementation |
---|
45 | |
---|
46 | /// A simple two dimensional vector (plainvector) implementation |
---|
47 | ///with the usual vector |
---|
48 | /// operators. |
---|
49 | /// |
---|
50 | ///\author Attila Bernath |
---|
51 | template<typename T> |
---|
52 | class xy { |
---|
53 | |
---|
54 | public: |
---|
55 | |
---|
56 | typedef T Value; |
---|
57 | |
---|
58 | ///First co-ordinate |
---|
59 | T x; |
---|
60 | ///Second co-ordinate |
---|
61 | T y; |
---|
62 | |
---|
63 | ///Default constructor |
---|
64 | xy() {} |
---|
65 | |
---|
66 | ///Constructing the instance from coordinates |
---|
67 | xy(T a, T b) : x(a), y(b) { } |
---|
68 | |
---|
69 | |
---|
70 | ///Conversion constructor |
---|
71 | template<class TT> xy(const xy<TT> &p) : x(p.x), y(p.y) {} |
---|
72 | |
---|
73 | ///Gives back the square of the norm of the vector |
---|
74 | T normSquare() const { |
---|
75 | return x*x+y*y; |
---|
76 | } |
---|
77 | |
---|
78 | ///Increments the left hand side by u |
---|
79 | xy<T>& operator +=(const xy<T>& u) { |
---|
80 | x += u.x; |
---|
81 | y += u.y; |
---|
82 | return *this; |
---|
83 | } |
---|
84 | |
---|
85 | ///Decrements the left hand side by u |
---|
86 | xy<T>& operator -=(const xy<T>& u) { |
---|
87 | x -= u.x; |
---|
88 | y -= u.y; |
---|
89 | return *this; |
---|
90 | } |
---|
91 | |
---|
92 | ///Multiplying the left hand side with a scalar |
---|
93 | xy<T>& operator *=(const T &u) { |
---|
94 | x *= u; |
---|
95 | y *= u; |
---|
96 | return *this; |
---|
97 | } |
---|
98 | |
---|
99 | ///Dividing the left hand side by a scalar |
---|
100 | xy<T>& operator /=(const T &u) { |
---|
101 | x /= u; |
---|
102 | y /= u; |
---|
103 | return *this; |
---|
104 | } |
---|
105 | |
---|
106 | ///Returns the scalar product of two vectors |
---|
107 | T operator *(const xy<T>& u) const { |
---|
108 | return x*u.x+y*u.y; |
---|
109 | } |
---|
110 | |
---|
111 | ///Returns the sum of two vectors |
---|
112 | xy<T> operator+(const xy<T> &u) const { |
---|
113 | xy<T> b=*this; |
---|
114 | return b+=u; |
---|
115 | } |
---|
116 | |
---|
117 | ///Returns the neg of the vectors |
---|
118 | xy<T> operator-() const { |
---|
119 | xy<T> b=*this; |
---|
120 | b.x=-b.x; b.y=-b.y; |
---|
121 | return b; |
---|
122 | } |
---|
123 | |
---|
124 | ///Returns the difference of two vectors |
---|
125 | xy<T> operator-(const xy<T> &u) const { |
---|
126 | xy<T> b=*this; |
---|
127 | return b-=u; |
---|
128 | } |
---|
129 | |
---|
130 | ///Returns a vector multiplied by a scalar |
---|
131 | xy<T> operator*(const T &u) const { |
---|
132 | xy<T> b=*this; |
---|
133 | return b*=u; |
---|
134 | } |
---|
135 | |
---|
136 | ///Returns a vector divided by a scalar |
---|
137 | xy<T> operator/(const T &u) const { |
---|
138 | xy<T> b=*this; |
---|
139 | return b/=u; |
---|
140 | } |
---|
141 | |
---|
142 | ///Testing equality |
---|
143 | bool operator==(const xy<T> &u) const { |
---|
144 | return (x==u.x) && (y==u.y); |
---|
145 | } |
---|
146 | |
---|
147 | ///Testing inequality |
---|
148 | bool operator!=(xy u) const { |
---|
149 | return (x!=u.x) || (y!=u.y); |
---|
150 | } |
---|
151 | |
---|
152 | }; |
---|
153 | |
---|
154 | ///Returns an xy |
---|
155 | |
---|
156 | ///Returns an xy |
---|
157 | ///\relates xy |
---|
158 | template <typename T> |
---|
159 | inline xy<T> make_xy(const T& x, const T& y) { |
---|
160 | return xy<T>(x, y); |
---|
161 | } |
---|
162 | |
---|
163 | ///Returns a vector multiplied by a scalar |
---|
164 | |
---|
165 | ///Returns a vector multiplied by a scalar |
---|
166 | ///\relates xy |
---|
167 | template<typename T> xy<T> operator*(const T &u,const xy<T> &x) { |
---|
168 | return x*u; |
---|
169 | } |
---|
170 | |
---|
171 | ///Read a plainvector from a stream |
---|
172 | |
---|
173 | ///Read a plainvector from a stream |
---|
174 | ///\relates xy |
---|
175 | /// |
---|
176 | template<typename T> |
---|
177 | inline std::istream& operator>>(std::istream &is, xy<T> &z) { |
---|
178 | char c; |
---|
179 | if (is >> c) { |
---|
180 | if (c != '(') is.putback(c); |
---|
181 | } else { |
---|
182 | is.clear(); |
---|
183 | } |
---|
184 | if (!(is >> z.x)) return is; |
---|
185 | if (is >> c) { |
---|
186 | if (c != ',') is.putback(c); |
---|
187 | } else { |
---|
188 | is.clear(); |
---|
189 | } |
---|
190 | if (!(is >> z.y)) return is; |
---|
191 | if (is >> c) { |
---|
192 | if (c != ')') is.putback(c); |
---|
193 | } else { |
---|
194 | is.clear(); |
---|
195 | } |
---|
196 | return is; |
---|
197 | } |
---|
198 | |
---|
199 | ///Write a plainvector to a stream |
---|
200 | |
---|
201 | ///Write a plainvector to a stream |
---|
202 | ///\relates xy |
---|
203 | /// |
---|
204 | template<typename T> |
---|
205 | inline std::ostream& operator<<(std::ostream &os, const xy<T>& z) |
---|
206 | { |
---|
207 | os << "(" << z.x << ", " << z.y << ")"; |
---|
208 | return os; |
---|
209 | } |
---|
210 | |
---|
211 | ///Rotate by 90 degrees |
---|
212 | |
---|
213 | ///Returns its parameter rotated by 90 degrees in positive direction. |
---|
214 | ///\relates xy |
---|
215 | /// |
---|
216 | template<typename T> |
---|
217 | inline xy<T> rot90(const xy<T> &z) |
---|
218 | { |
---|
219 | return xy<T>(-z.y,z.x); |
---|
220 | } |
---|
221 | |
---|
222 | ///Rotate by 270 degrees |
---|
223 | |
---|
224 | ///Returns its parameter rotated by 90 degrees in negative direction. |
---|
225 | ///\relates xy |
---|
226 | /// |
---|
227 | template<typename T> |
---|
228 | inline xy<T> rot270(const xy<T> &z) |
---|
229 | { |
---|
230 | return xy<T>(z.y,-z.x); |
---|
231 | } |
---|
232 | |
---|
233 | |
---|
234 | |
---|
235 | /// A class to calculate or store the bounding box of plainvectors. |
---|
236 | |
---|
237 | /// A class to calculate or store the bounding box of plainvectors. |
---|
238 | /// |
---|
239 | ///\author Attila Bernath |
---|
240 | template<typename T> |
---|
241 | class BoundingBox { |
---|
242 | xy<T> bottom_left, top_right; |
---|
243 | bool _empty; |
---|
244 | public: |
---|
245 | |
---|
246 | ///Default constructor: creates an empty bounding box |
---|
247 | BoundingBox() { _empty = true; } |
---|
248 | |
---|
249 | ///Constructing the instance from one point |
---|
250 | BoundingBox(xy<T> a) { bottom_left=top_right=a; _empty = false; } |
---|
251 | |
---|
252 | ///Were any points added? |
---|
253 | bool empty() const { |
---|
254 | return _empty; |
---|
255 | } |
---|
256 | |
---|
257 | ///Makes the BoundingBox empty |
---|
258 | void clear() { |
---|
259 | _empty=1; |
---|
260 | } |
---|
261 | |
---|
262 | ///\brief Gives back the bottom left corner |
---|
263 | ///(if the bounding box is empty, then the return value is not defined) |
---|
264 | xy<T> bottomLeft() const { |
---|
265 | return bottom_left; |
---|
266 | } |
---|
267 | |
---|
268 | ///\brief Sets the bottom left corner |
---|
269 | ///(should only bee used for non-empty box) |
---|
270 | void bottomLeft(xy<T> p) { |
---|
271 | bottom_left = p; |
---|
272 | } |
---|
273 | |
---|
274 | ///\brief Gives back the top right corner |
---|
275 | ///(if the bounding box is empty, then the return value is not defined) |
---|
276 | xy<T> topRight() const { |
---|
277 | return top_right; |
---|
278 | } |
---|
279 | |
---|
280 | ///\brief Sets the top right corner |
---|
281 | ///(should only bee used for non-empty box) |
---|
282 | void topRight(xy<T> p) { |
---|
283 | top_right = p; |
---|
284 | } |
---|
285 | |
---|
286 | ///\brief Gives back the bottom right corner |
---|
287 | ///(if the bounding box is empty, then the return value is not defined) |
---|
288 | xy<T> bottomRight() const { |
---|
289 | return xy<T>(top_right.x,bottom_left.y); |
---|
290 | } |
---|
291 | |
---|
292 | ///\brief Sets the bottom right corner |
---|
293 | ///(should only bee used for non-empty box) |
---|
294 | void bottomRight(xy<T> p) { |
---|
295 | top_right.x = p.x; |
---|
296 | bottom_left.y = p.y; |
---|
297 | } |
---|
298 | |
---|
299 | ///\brief Gives back the top left corner |
---|
300 | ///(if the bounding box is empty, then the return value is not defined) |
---|
301 | xy<T> topLeft() const { |
---|
302 | return xy<T>(bottom_left.x,top_right.y); |
---|
303 | } |
---|
304 | |
---|
305 | ///\brief Sets the top left corner |
---|
306 | ///(should only bee used for non-empty box) |
---|
307 | void topLeft(xy<T> p) { |
---|
308 | top_right.y = p.y; |
---|
309 | bottom_left.x = p.x; |
---|
310 | } |
---|
311 | |
---|
312 | ///\brief Gives back the bottom of the box |
---|
313 | ///(if the bounding box is empty, then the return value is not defined) |
---|
314 | T bottom() const { |
---|
315 | return bottom_left.y; |
---|
316 | } |
---|
317 | |
---|
318 | ///\brief Sets the bottom of the box |
---|
319 | ///(should only bee used for non-empty box) |
---|
320 | void bottom(T t) { |
---|
321 | bottom_left.y = t; |
---|
322 | } |
---|
323 | |
---|
324 | ///\brief Gives back the top of the box |
---|
325 | ///(if the bounding box is empty, then the return value is not defined) |
---|
326 | T top() const { |
---|
327 | return top_right.y; |
---|
328 | } |
---|
329 | |
---|
330 | ///\brief Sets the top of the box |
---|
331 | ///(should only bee used for non-empty box) |
---|
332 | void top(T t) { |
---|
333 | top_right.y = t; |
---|
334 | } |
---|
335 | |
---|
336 | ///\brief Gives back the left side of the box |
---|
337 | ///(if the bounding box is empty, then the return value is not defined) |
---|
338 | T left() const { |
---|
339 | return bottom_left.x; |
---|
340 | } |
---|
341 | |
---|
342 | ///\brief Sets the left side of the box |
---|
343 | ///(should only bee used for non-empty box) |
---|
344 | void left(T t) { |
---|
345 | bottom_left.x = t; |
---|
346 | } |
---|
347 | |
---|
348 | ///\brief Gives back the right side of the box |
---|
349 | ///(if the bounding box is empty, then the return value is not defined) |
---|
350 | T right() const { |
---|
351 | return top_right.x; |
---|
352 | } |
---|
353 | |
---|
354 | ///\brief Sets the right side of the box |
---|
355 | ///(should only bee used for non-empty box) |
---|
356 | void right(T t) { |
---|
357 | top_right.x = t; |
---|
358 | } |
---|
359 | |
---|
360 | ///\brief Gives back the height of the box |
---|
361 | ///(if the bounding box is empty, then the return value is not defined) |
---|
362 | T height() const { |
---|
363 | return top_right.y-bottom_left.y; |
---|
364 | } |
---|
365 | |
---|
366 | ///\brief Gives back the width of the box |
---|
367 | ///(if the bounding box is empty, then the return value is not defined) |
---|
368 | T width() const { |
---|
369 | return top_right.x-bottom_left.x; |
---|
370 | } |
---|
371 | |
---|
372 | ///Checks whether a point is inside a bounding box |
---|
373 | bool inside(const xy<T>& u){ |
---|
374 | if (_empty) |
---|
375 | return false; |
---|
376 | else{ |
---|
377 | return ((u.x-bottom_left.x)*(top_right.x-u.x) >= 0 && |
---|
378 | (u.y-bottom_left.y)*(top_right.y-u.y) >= 0 ); |
---|
379 | } |
---|
380 | } |
---|
381 | |
---|
382 | ///Increments a bounding box with a point |
---|
383 | BoundingBox& add(const xy<T>& u){ |
---|
384 | if (_empty){ |
---|
385 | bottom_left=top_right=u; |
---|
386 | _empty = false; |
---|
387 | } |
---|
388 | else{ |
---|
389 | if (bottom_left.x > u.x) bottom_left.x = u.x; |
---|
390 | if (bottom_left.y > u.y) bottom_left.y = u.y; |
---|
391 | if (top_right.x < u.x) top_right.x = u.x; |
---|
392 | if (top_right.y < u.y) top_right.y = u.y; |
---|
393 | } |
---|
394 | return *this; |
---|
395 | } |
---|
396 | |
---|
397 | // ///Sums a bounding box and a point |
---|
398 | // BoundingBox operator +(const xy<T>& u){ |
---|
399 | // BoundingBox b = *this; |
---|
400 | // return b += u; |
---|
401 | // } |
---|
402 | |
---|
403 | ///Increments a bounding box with another bounding box |
---|
404 | BoundingBox& add(const BoundingBox &u){ |
---|
405 | if ( !u.empty() ){ |
---|
406 | this->add(u.bottomLeft()); |
---|
407 | this->add(u.topRight()); |
---|
408 | } |
---|
409 | return *this; |
---|
410 | } |
---|
411 | |
---|
412 | ///Sums two bounding boxes |
---|
413 | BoundingBox operator +(const BoundingBox& u){ |
---|
414 | BoundingBox b = *this; |
---|
415 | return b.add(u); |
---|
416 | } |
---|
417 | |
---|
418 | |
---|
419 | ///Intersection of two bounding boxes |
---|
420 | BoundingBox operator &(const BoundingBox& u){ |
---|
421 | BoundingBox b; |
---|
422 | b.bottom_left.x=std::max(this->bottom_left.x,u.bottom_left.x); |
---|
423 | b.bottom_left.y=std::max(this->bottom_left.y,u.bottom_left.y); |
---|
424 | b.top_right.x=std::min(this->top_right.x,u.top_right.x); |
---|
425 | b.top_right.y=std::min(this->top_right.y,u.top_right.y); |
---|
426 | b._empty = this->_empty || u._empty || |
---|
427 | b.bottom_left.x>top_right.x && b.bottom_left.y>top_right.y; |
---|
428 | return b; |
---|
429 | } |
---|
430 | |
---|
431 | };//class Boundingbox |
---|
432 | |
---|
433 | |
---|
434 | ///Map of x-coordinates of an xy<>-map |
---|
435 | |
---|
436 | ///\ingroup maps |
---|
437 | /// |
---|
438 | template<class M> |
---|
439 | class XMap |
---|
440 | { |
---|
441 | M& _map; |
---|
442 | public: |
---|
443 | |
---|
444 | typedef typename M::Value::Value Value; |
---|
445 | typedef typename M::Key Key; |
---|
446 | ///\e |
---|
447 | XMap(M& map) : _map(map) {} |
---|
448 | Value operator[](Key k) const {return _map[k].x;} |
---|
449 | void set(Key k,Value v) {_map.set(k,typename M::Value(v,_map[k].y));} |
---|
450 | }; |
---|
451 | |
---|
452 | ///Returns an \ref XMap class |
---|
453 | |
---|
454 | ///This function just returns an \ref XMap class. |
---|
455 | /// |
---|
456 | ///\ingroup maps |
---|
457 | ///\relates XMap |
---|
458 | template<class M> |
---|
459 | inline XMap<M> xMap(M &m) |
---|
460 | { |
---|
461 | return XMap<M>(m); |
---|
462 | } |
---|
463 | |
---|
464 | template<class M> |
---|
465 | inline XMap<M> xMap(const M &m) |
---|
466 | { |
---|
467 | return XMap<M>(m); |
---|
468 | } |
---|
469 | |
---|
470 | ///Constant (read only) version of \ref XMap |
---|
471 | |
---|
472 | ///\ingroup maps |
---|
473 | /// |
---|
474 | template<class M> |
---|
475 | class ConstXMap |
---|
476 | { |
---|
477 | const M& _map; |
---|
478 | public: |
---|
479 | |
---|
480 | typedef typename M::Value::Value Value; |
---|
481 | typedef typename M::Key Key; |
---|
482 | ///\e |
---|
483 | ConstXMap(const M &map) : _map(map) {} |
---|
484 | Value operator[](Key k) const {return _map[k].x;} |
---|
485 | }; |
---|
486 | |
---|
487 | ///Returns a \ref ConstXMap class |
---|
488 | |
---|
489 | ///This function just returns an \ref ConstXMap class. |
---|
490 | /// |
---|
491 | ///\ingroup maps |
---|
492 | ///\relates ConstXMap |
---|
493 | template<class M> |
---|
494 | inline ConstXMap<M> xMap(const M &m) |
---|
495 | { |
---|
496 | return ConstXMap<M>(m); |
---|
497 | } |
---|
498 | |
---|
499 | ///Map of y-coordinates of an xy<>-map |
---|
500 | |
---|
501 | ///\ingroup maps |
---|
502 | /// |
---|
503 | template<class M> |
---|
504 | class YMap |
---|
505 | { |
---|
506 | M& _map; |
---|
507 | public: |
---|
508 | |
---|
509 | typedef typename M::Value::Value Value; |
---|
510 | typedef typename M::Key Key; |
---|
511 | ///\e |
---|
512 | YMap(M& map) : _map(map) {} |
---|
513 | Value operator[](Key k) const {return _map[k].y;} |
---|
514 | void set(Key k,Value v) {_map.set(k,typename M::Value(_map[k].x,v));} |
---|
515 | }; |
---|
516 | |
---|
517 | ///Returns an \ref YMap class |
---|
518 | |
---|
519 | ///This function just returns an \ref YMap class. |
---|
520 | /// |
---|
521 | ///\ingroup maps |
---|
522 | ///\relates YMap |
---|
523 | template<class M> |
---|
524 | inline YMap<M> yMap(M &m) |
---|
525 | { |
---|
526 | return YMap<M>(m); |
---|
527 | } |
---|
528 | |
---|
529 | template<class M> |
---|
530 | inline YMap<M> yMap(const M &m) |
---|
531 | { |
---|
532 | return YMap<M>(m); |
---|
533 | } |
---|
534 | |
---|
535 | ///Constant (read only) version of \ref YMap |
---|
536 | |
---|
537 | ///\ingroup maps |
---|
538 | /// |
---|
539 | template<class M> |
---|
540 | class ConstYMap |
---|
541 | { |
---|
542 | const M& _map; |
---|
543 | public: |
---|
544 | |
---|
545 | typedef typename M::Value::Value Value; |
---|
546 | typedef typename M::Key Key; |
---|
547 | ///\e |
---|
548 | ConstYMap(const M &map) : _map(map) {} |
---|
549 | Value operator[](Key k) const {return _map[k].y;} |
---|
550 | }; |
---|
551 | |
---|
552 | ///Returns a \ref ConstYMap class |
---|
553 | |
---|
554 | ///This function just returns an \ref ConstYMap class. |
---|
555 | /// |
---|
556 | ///\ingroup maps |
---|
557 | ///\relates ConstYMap |
---|
558 | template<class M> |
---|
559 | inline ConstYMap<M> yMap(const M &m) |
---|
560 | { |
---|
561 | return ConstYMap<M>(m); |
---|
562 | } |
---|
563 | |
---|
564 | |
---|
565 | ///Map of the \ref xy::normSquare() "normSquare()" of an \ref xy "xy"-map |
---|
566 | |
---|
567 | ///Map of the \ref xy::normSquare() "normSquare()" of an \ref xy "xy"-map |
---|
568 | ///\ingroup maps |
---|
569 | /// |
---|
570 | template<class M> |
---|
571 | class NormSquareMap |
---|
572 | { |
---|
573 | const M& _map; |
---|
574 | public: |
---|
575 | |
---|
576 | typedef typename M::Value::Value Value; |
---|
577 | typedef typename M::Key Key; |
---|
578 | ///\e |
---|
579 | NormSquareMap(const M &map) : _map(map) {} |
---|
580 | Value operator[](Key k) const {return _map[k].normSquare();} |
---|
581 | }; |
---|
582 | |
---|
583 | ///Returns a \ref NormSquareMap class |
---|
584 | |
---|
585 | ///This function just returns an \ref NormSquareMap class. |
---|
586 | /// |
---|
587 | ///\ingroup maps |
---|
588 | ///\relates NormSquareMap |
---|
589 | template<class M> |
---|
590 | inline NormSquareMap<M> normSquareMap(const M &m) |
---|
591 | { |
---|
592 | return NormSquareMap<M>(m); |
---|
593 | } |
---|
594 | |
---|
595 | /// @} |
---|
596 | |
---|
597 | |
---|
598 | } //namespace lemon |
---|
599 | |
---|
600 | #endif //LEMON_XY_H |
---|