1 | /* -*- mode: C++; indent-tabs-mode: nil; -*- |
---|
2 | * |
---|
3 | * This file is a part of LEMON, a generic C++ optimization library. |
---|
4 | * |
---|
5 | * Copyright (C) 2003-2009 |
---|
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_DIM2_H |
---|
20 | #define LEMON_DIM2_H |
---|
21 | |
---|
22 | #include <iostream> |
---|
23 | #include <algorithm> |
---|
24 | |
---|
25 | ///\ingroup geomdat |
---|
26 | ///\file |
---|
27 | ///\brief A simple two dimensional vector and a bounding box implementation |
---|
28 | |
---|
29 | namespace lemon { |
---|
30 | |
---|
31 | ///Tools for handling two dimensional coordinates |
---|
32 | |
---|
33 | ///This namespace is a storage of several |
---|
34 | ///tools for handling two dimensional coordinates |
---|
35 | namespace dim2 { |
---|
36 | |
---|
37 | /// \addtogroup geomdat |
---|
38 | /// @{ |
---|
39 | |
---|
40 | /// Two dimensional vector (plain vector) |
---|
41 | |
---|
42 | /// A simple two dimensional vector (plain vector) implementation |
---|
43 | /// with the usual vector operations. |
---|
44 | template<typename T> |
---|
45 | class Point { |
---|
46 | |
---|
47 | public: |
---|
48 | |
---|
49 | typedef T Value; |
---|
50 | |
---|
51 | ///First coordinate |
---|
52 | T x; |
---|
53 | ///Second coordinate |
---|
54 | T y; |
---|
55 | |
---|
56 | ///Default constructor |
---|
57 | Point() {} |
---|
58 | |
---|
59 | ///Construct an instance from coordinates |
---|
60 | Point(T a, T b) : x(a), y(b) { } |
---|
61 | |
---|
62 | ///Returns the dimension of the vector (i.e. returns 2). |
---|
63 | |
---|
64 | ///The dimension of the vector. |
---|
65 | ///This function always returns 2. |
---|
66 | int size() const { return 2; } |
---|
67 | |
---|
68 | ///Subscripting operator |
---|
69 | |
---|
70 | ///\c p[0] is \c p.x and \c p[1] is \c p.y |
---|
71 | /// |
---|
72 | T& operator[](int idx) { return idx == 0 ? x : y; } |
---|
73 | |
---|
74 | ///Const subscripting operator |
---|
75 | |
---|
76 | ///\c p[0] is \c p.x and \c p[1] is \c p.y |
---|
77 | /// |
---|
78 | const T& operator[](int idx) const { return idx == 0 ? x : y; } |
---|
79 | |
---|
80 | ///Conversion constructor |
---|
81 | template<class TT> Point(const Point<TT> &p) : x(p.x), y(p.y) {} |
---|
82 | |
---|
83 | ///Give back the square of the norm of the vector |
---|
84 | T normSquare() const { |
---|
85 | return x*x+y*y; |
---|
86 | } |
---|
87 | |
---|
88 | ///Increment the left hand side by \c u |
---|
89 | Point<T>& operator +=(const Point<T>& u) { |
---|
90 | x += u.x; |
---|
91 | y += u.y; |
---|
92 | return *this; |
---|
93 | } |
---|
94 | |
---|
95 | ///Decrement the left hand side by \c u |
---|
96 | Point<T>& operator -=(const Point<T>& u) { |
---|
97 | x -= u.x; |
---|
98 | y -= u.y; |
---|
99 | return *this; |
---|
100 | } |
---|
101 | |
---|
102 | ///Multiply the left hand side with a scalar |
---|
103 | Point<T>& operator *=(const T &u) { |
---|
104 | x *= u; |
---|
105 | y *= u; |
---|
106 | return *this; |
---|
107 | } |
---|
108 | |
---|
109 | ///Divide the left hand side by a scalar |
---|
110 | Point<T>& operator /=(const T &u) { |
---|
111 | x /= u; |
---|
112 | y /= u; |
---|
113 | return *this; |
---|
114 | } |
---|
115 | |
---|
116 | ///Return the scalar product of two vectors |
---|
117 | T operator *(const Point<T>& u) const { |
---|
118 | return x*u.x+y*u.y; |
---|
119 | } |
---|
120 | |
---|
121 | ///Return the sum of two vectors |
---|
122 | Point<T> operator+(const Point<T> &u) const { |
---|
123 | Point<T> b=*this; |
---|
124 | return b+=u; |
---|
125 | } |
---|
126 | |
---|
127 | ///Return the negative of the vector |
---|
128 | Point<T> operator-() const { |
---|
129 | Point<T> b=*this; |
---|
130 | b.x=-b.x; b.y=-b.y; |
---|
131 | return b; |
---|
132 | } |
---|
133 | |
---|
134 | ///Return the difference of two vectors |
---|
135 | Point<T> operator-(const Point<T> &u) const { |
---|
136 | Point<T> b=*this; |
---|
137 | return b-=u; |
---|
138 | } |
---|
139 | |
---|
140 | ///Return a vector multiplied by a scalar |
---|
141 | Point<T> operator*(const T &u) const { |
---|
142 | Point<T> b=*this; |
---|
143 | return b*=u; |
---|
144 | } |
---|
145 | |
---|
146 | ///Return a vector divided by a scalar |
---|
147 | Point<T> operator/(const T &u) const { |
---|
148 | Point<T> b=*this; |
---|
149 | return b/=u; |
---|
150 | } |
---|
151 | |
---|
152 | ///Test equality |
---|
153 | bool operator==(const Point<T> &u) const { |
---|
154 | return (x==u.x) && (y==u.y); |
---|
155 | } |
---|
156 | |
---|
157 | ///Test inequality |
---|
158 | bool operator!=(Point u) const { |
---|
159 | return (x!=u.x) || (y!=u.y); |
---|
160 | } |
---|
161 | |
---|
162 | }; |
---|
163 | |
---|
164 | ///Return a Point |
---|
165 | |
---|
166 | ///Return a Point. |
---|
167 | ///\relates Point |
---|
168 | template <typename T> |
---|
169 | inline Point<T> makePoint(const T& x, const T& y) { |
---|
170 | return Point<T>(x, y); |
---|
171 | } |
---|
172 | |
---|
173 | ///Return a vector multiplied by a scalar |
---|
174 | |
---|
175 | ///Return a vector multiplied by a scalar. |
---|
176 | ///\relates Point |
---|
177 | template<typename T> Point<T> operator*(const T &u,const Point<T> &x) { |
---|
178 | return x*u; |
---|
179 | } |
---|
180 | |
---|
181 | ///Read a plain vector from a stream |
---|
182 | |
---|
183 | ///Read a plain vector from a stream. |
---|
184 | ///\relates Point |
---|
185 | /// |
---|
186 | template<typename T> |
---|
187 | inline std::istream& operator>>(std::istream &is, Point<T> &z) { |
---|
188 | char c; |
---|
189 | if (is >> c) { |
---|
190 | if (c != '(') is.putback(c); |
---|
191 | } else { |
---|
192 | is.clear(); |
---|
193 | } |
---|
194 | if (!(is >> z.x)) return is; |
---|
195 | if (is >> c) { |
---|
196 | if (c != ',') is.putback(c); |
---|
197 | } else { |
---|
198 | is.clear(); |
---|
199 | } |
---|
200 | if (!(is >> z.y)) return is; |
---|
201 | if (is >> c) { |
---|
202 | if (c != ')') is.putback(c); |
---|
203 | } else { |
---|
204 | is.clear(); |
---|
205 | } |
---|
206 | return is; |
---|
207 | } |
---|
208 | |
---|
209 | ///Write a plain vector to a stream |
---|
210 | |
---|
211 | ///Write a plain vector to a stream. |
---|
212 | ///\relates Point |
---|
213 | /// |
---|
214 | template<typename T> |
---|
215 | inline std::ostream& operator<<(std::ostream &os, const Point<T>& z) |
---|
216 | { |
---|
217 | os << "(" << z.x << "," << z.y << ")"; |
---|
218 | return os; |
---|
219 | } |
---|
220 | |
---|
221 | ///Rotate by 90 degrees |
---|
222 | |
---|
223 | ///Returns the parameter rotated by 90 degrees in positive direction. |
---|
224 | ///\relates Point |
---|
225 | /// |
---|
226 | template<typename T> |
---|
227 | inline Point<T> rot90(const Point<T> &z) |
---|
228 | { |
---|
229 | return Point<T>(-z.y,z.x); |
---|
230 | } |
---|
231 | |
---|
232 | ///Rotate by 180 degrees |
---|
233 | |
---|
234 | ///Returns the parameter rotated by 180 degrees. |
---|
235 | ///\relates Point |
---|
236 | /// |
---|
237 | template<typename T> |
---|
238 | inline Point<T> rot180(const Point<T> &z) |
---|
239 | { |
---|
240 | return Point<T>(-z.x,-z.y); |
---|
241 | } |
---|
242 | |
---|
243 | ///Rotate by 270 degrees |
---|
244 | |
---|
245 | ///Returns the parameter rotated by 90 degrees in negative direction. |
---|
246 | ///\relates Point |
---|
247 | /// |
---|
248 | template<typename T> |
---|
249 | inline Point<T> rot270(const Point<T> &z) |
---|
250 | { |
---|
251 | return Point<T>(z.y,-z.x); |
---|
252 | } |
---|
253 | |
---|
254 | |
---|
255 | |
---|
256 | /// Bounding box of plain vectors (points). |
---|
257 | |
---|
258 | /// A class to calculate or store the bounding box of plain vectors |
---|
259 | /// (\ref Point "points"). |
---|
260 | template<typename T> |
---|
261 | class Box { |
---|
262 | Point<T> _bottom_left, _top_right; |
---|
263 | bool _empty; |
---|
264 | public: |
---|
265 | |
---|
266 | ///Default constructor: creates an empty box |
---|
267 | Box() { _empty = true; } |
---|
268 | |
---|
269 | ///Construct a box from one point |
---|
270 | Box(Point<T> a) { |
---|
271 | _bottom_left = _top_right = a; |
---|
272 | _empty = false; |
---|
273 | } |
---|
274 | |
---|
275 | ///Construct a box from two points |
---|
276 | |
---|
277 | ///Construct a box from two points. |
---|
278 | ///\param a The bottom left corner. |
---|
279 | ///\param b The top right corner. |
---|
280 | ///\warning The coordinates of the bottom left corner must be no more |
---|
281 | ///than those of the top right one. |
---|
282 | Box(Point<T> a,Point<T> b) |
---|
283 | { |
---|
284 | _bottom_left = a; |
---|
285 | _top_right = b; |
---|
286 | _empty = false; |
---|
287 | } |
---|
288 | |
---|
289 | ///Construct a box from four numbers |
---|
290 | |
---|
291 | ///Construct a box from four numbers. |
---|
292 | ///\param l The left side of the box. |
---|
293 | ///\param b The bottom of the box. |
---|
294 | ///\param r The right side of the box. |
---|
295 | ///\param t The top of the box. |
---|
296 | ///\warning The left side must be no more than the right side and |
---|
297 | ///bottom must be no more than the top. |
---|
298 | Box(T l,T b,T r,T t) |
---|
299 | { |
---|
300 | _bottom_left=Point<T>(l,b); |
---|
301 | _top_right=Point<T>(r,t); |
---|
302 | _empty = false; |
---|
303 | } |
---|
304 | |
---|
305 | ///Return \c true if the box is empty. |
---|
306 | |
---|
307 | ///Return \c true if the box is empty (i.e. return \c false |
---|
308 | ///if at least one point was added to the box or the coordinates of |
---|
309 | ///the box were set). |
---|
310 | /// |
---|
311 | ///The coordinates of an empty box are not defined. |
---|
312 | bool empty() const { |
---|
313 | return _empty; |
---|
314 | } |
---|
315 | |
---|
316 | ///Make the box empty |
---|
317 | void clear() { |
---|
318 | _empty = true; |
---|
319 | } |
---|
320 | |
---|
321 | ///Give back the bottom left corner of the box |
---|
322 | |
---|
323 | ///Give back the bottom left corner of the box. |
---|
324 | ///If the box is empty, then the return value is not defined. |
---|
325 | Point<T> bottomLeft() const { |
---|
326 | return _bottom_left; |
---|
327 | } |
---|
328 | |
---|
329 | ///Set the bottom left corner of the box |
---|
330 | |
---|
331 | ///Set the bottom left corner of the box. |
---|
332 | ///\pre The box must not be empty. |
---|
333 | void bottomLeft(Point<T> p) { |
---|
334 | _bottom_left = p; |
---|
335 | } |
---|
336 | |
---|
337 | ///Give back the top right corner of the box |
---|
338 | |
---|
339 | ///Give back the top right corner of the box. |
---|
340 | ///If the box is empty, then the return value is not defined. |
---|
341 | Point<T> topRight() const { |
---|
342 | return _top_right; |
---|
343 | } |
---|
344 | |
---|
345 | ///Set the top right corner of the box |
---|
346 | |
---|
347 | ///Set the top right corner of the box. |
---|
348 | ///\pre The box must not be empty. |
---|
349 | void topRight(Point<T> p) { |
---|
350 | _top_right = p; |
---|
351 | } |
---|
352 | |
---|
353 | ///Give back the bottom right corner of the box |
---|
354 | |
---|
355 | ///Give back the bottom right corner of the box. |
---|
356 | ///If the box is empty, then the return value is not defined. |
---|
357 | Point<T> bottomRight() const { |
---|
358 | return Point<T>(_top_right.x,_bottom_left.y); |
---|
359 | } |
---|
360 | |
---|
361 | ///Set the bottom right corner of the box |
---|
362 | |
---|
363 | ///Set the bottom right corner of the box. |
---|
364 | ///\pre The box must not be empty. |
---|
365 | void bottomRight(Point<T> p) { |
---|
366 | _top_right.x = p.x; |
---|
367 | _bottom_left.y = p.y; |
---|
368 | } |
---|
369 | |
---|
370 | ///Give back the top left corner of the box |
---|
371 | |
---|
372 | ///Give back the top left corner of the box. |
---|
373 | ///If the box is empty, then the return value is not defined. |
---|
374 | Point<T> topLeft() const { |
---|
375 | return Point<T>(_bottom_left.x,_top_right.y); |
---|
376 | } |
---|
377 | |
---|
378 | ///Set the top left corner of the box |
---|
379 | |
---|
380 | ///Set the top left corner of the box. |
---|
381 | ///\pre The box must not be empty. |
---|
382 | void topLeft(Point<T> p) { |
---|
383 | _top_right.y = p.y; |
---|
384 | _bottom_left.x = p.x; |
---|
385 | } |
---|
386 | |
---|
387 | ///Give back the bottom of the box |
---|
388 | |
---|
389 | ///Give back the bottom of the box. |
---|
390 | ///If the box is empty, then the return value is not defined. |
---|
391 | T bottom() const { |
---|
392 | return _bottom_left.y; |
---|
393 | } |
---|
394 | |
---|
395 | ///Set the bottom of the box |
---|
396 | |
---|
397 | ///Set the bottom of the box. |
---|
398 | ///\pre The box must not be empty. |
---|
399 | void bottom(T t) { |
---|
400 | _bottom_left.y = t; |
---|
401 | } |
---|
402 | |
---|
403 | ///Give back the top of the box |
---|
404 | |
---|
405 | ///Give back the top of the box. |
---|
406 | ///If the box is empty, then the return value is not defined. |
---|
407 | T top() const { |
---|
408 | return _top_right.y; |
---|
409 | } |
---|
410 | |
---|
411 | ///Set the top of the box |
---|
412 | |
---|
413 | ///Set the top of the box. |
---|
414 | ///\pre The box must not be empty. |
---|
415 | void top(T t) { |
---|
416 | _top_right.y = t; |
---|
417 | } |
---|
418 | |
---|
419 | ///Give back the left side of the box |
---|
420 | |
---|
421 | ///Give back the left side of the box. |
---|
422 | ///If the box is empty, then the return value is not defined. |
---|
423 | T left() const { |
---|
424 | return _bottom_left.x; |
---|
425 | } |
---|
426 | |
---|
427 | ///Set the left side of the box |
---|
428 | |
---|
429 | ///Set the left side of the box. |
---|
430 | ///\pre The box must not be empty. |
---|
431 | void left(T t) { |
---|
432 | _bottom_left.x = t; |
---|
433 | } |
---|
434 | |
---|
435 | /// Give back the right side of the box |
---|
436 | |
---|
437 | /// Give back the right side of the box. |
---|
438 | ///If the box is empty, then the return value is not defined. |
---|
439 | T right() const { |
---|
440 | return _top_right.x; |
---|
441 | } |
---|
442 | |
---|
443 | ///Set the right side of the box |
---|
444 | |
---|
445 | ///Set the right side of the box. |
---|
446 | ///\pre The box must not be empty. |
---|
447 | void right(T t) { |
---|
448 | _top_right.x = t; |
---|
449 | } |
---|
450 | |
---|
451 | ///Give back the height of the box |
---|
452 | |
---|
453 | ///Give back the height of the box. |
---|
454 | ///If the box is empty, then the return value is not defined. |
---|
455 | T height() const { |
---|
456 | return _top_right.y-_bottom_left.y; |
---|
457 | } |
---|
458 | |
---|
459 | ///Give back the width of the box |
---|
460 | |
---|
461 | ///Give back the width of the box. |
---|
462 | ///If the box is empty, then the return value is not defined. |
---|
463 | T width() const { |
---|
464 | return _top_right.x-_bottom_left.x; |
---|
465 | } |
---|
466 | |
---|
467 | ///Checks whether a point is inside the box |
---|
468 | bool inside(const Point<T>& u) const { |
---|
469 | if (_empty) |
---|
470 | return false; |
---|
471 | else { |
---|
472 | return ( (u.x-_bottom_left.x)*(_top_right.x-u.x) >= 0 && |
---|
473 | (u.y-_bottom_left.y)*(_top_right.y-u.y) >= 0 ); |
---|
474 | } |
---|
475 | } |
---|
476 | |
---|
477 | ///Increments the box with a point |
---|
478 | |
---|
479 | ///Increments the box with a point. |
---|
480 | /// |
---|
481 | Box& add(const Point<T>& u){ |
---|
482 | if (_empty) { |
---|
483 | _bottom_left = _top_right = u; |
---|
484 | _empty = false; |
---|
485 | } |
---|
486 | else { |
---|
487 | if (_bottom_left.x > u.x) _bottom_left.x = u.x; |
---|
488 | if (_bottom_left.y > u.y) _bottom_left.y = u.y; |
---|
489 | if (_top_right.x < u.x) _top_right.x = u.x; |
---|
490 | if (_top_right.y < u.y) _top_right.y = u.y; |
---|
491 | } |
---|
492 | return *this; |
---|
493 | } |
---|
494 | |
---|
495 | ///Increments the box to contain another box |
---|
496 | |
---|
497 | ///Increments the box to contain another box. |
---|
498 | /// |
---|
499 | Box& add(const Box &u){ |
---|
500 | if ( !u.empty() ){ |
---|
501 | add(u._bottom_left); |
---|
502 | add(u._top_right); |
---|
503 | } |
---|
504 | return *this; |
---|
505 | } |
---|
506 | |
---|
507 | ///Intersection of two boxes |
---|
508 | |
---|
509 | ///Intersection of two boxes. |
---|
510 | /// |
---|
511 | Box operator&(const Box& u) const { |
---|
512 | Box b; |
---|
513 | if (_empty || u._empty) { |
---|
514 | b._empty = true; |
---|
515 | } else { |
---|
516 | b._bottom_left.x = std::max(_bottom_left.x, u._bottom_left.x); |
---|
517 | b._bottom_left.y = std::max(_bottom_left.y, u._bottom_left.y); |
---|
518 | b._top_right.x = std::min(_top_right.x, u._top_right.x); |
---|
519 | b._top_right.y = std::min(_top_right.y, u._top_right.y); |
---|
520 | b._empty = b._bottom_left.x > b._top_right.x || |
---|
521 | b._bottom_left.y > b._top_right.y; |
---|
522 | } |
---|
523 | return b; |
---|
524 | } |
---|
525 | |
---|
526 | };//class Box |
---|
527 | |
---|
528 | |
---|
529 | ///Read a box from a stream |
---|
530 | |
---|
531 | ///Read a box from a stream. |
---|
532 | ///\relates Box |
---|
533 | template<typename T> |
---|
534 | inline std::istream& operator>>(std::istream &is, Box<T>& b) { |
---|
535 | char c; |
---|
536 | Point<T> p; |
---|
537 | if (is >> c) { |
---|
538 | if (c != '(') is.putback(c); |
---|
539 | } else { |
---|
540 | is.clear(); |
---|
541 | } |
---|
542 | if (!(is >> p)) return is; |
---|
543 | b.bottomLeft(p); |
---|
544 | if (is >> c) { |
---|
545 | if (c != ',') is.putback(c); |
---|
546 | } else { |
---|
547 | is.clear(); |
---|
548 | } |
---|
549 | if (!(is >> p)) return is; |
---|
550 | b.topRight(p); |
---|
551 | if (is >> c) { |
---|
552 | if (c != ')') is.putback(c); |
---|
553 | } else { |
---|
554 | is.clear(); |
---|
555 | } |
---|
556 | return is; |
---|
557 | } |
---|
558 | |
---|
559 | ///Write a box to a stream |
---|
560 | |
---|
561 | ///Write a box to a stream. |
---|
562 | ///\relates Box |
---|
563 | template<typename T> |
---|
564 | inline std::ostream& operator<<(std::ostream &os, const Box<T>& b) |
---|
565 | { |
---|
566 | os << "(" << b.bottomLeft() << "," << b.topRight() << ")"; |
---|
567 | return os; |
---|
568 | } |
---|
569 | |
---|
570 | ///Map of x-coordinates of a <tt>Point</tt>-map |
---|
571 | |
---|
572 | ///Map of x-coordinates of a \ref Point "Point"-map. |
---|
573 | /// |
---|
574 | template<class M> |
---|
575 | class XMap |
---|
576 | { |
---|
577 | M& _map; |
---|
578 | public: |
---|
579 | |
---|
580 | typedef typename M::Value::Value Value; |
---|
581 | typedef typename M::Key Key; |
---|
582 | ///\e |
---|
583 | XMap(M& map) : _map(map) {} |
---|
584 | Value operator[](Key k) const {return _map[k].x;} |
---|
585 | void set(Key k,Value v) {_map.set(k,typename M::Value(v,_map[k].y));} |
---|
586 | }; |
---|
587 | |
---|
588 | ///Returns an XMap class |
---|
589 | |
---|
590 | ///This function just returns an XMap class. |
---|
591 | ///\relates XMap |
---|
592 | template<class M> |
---|
593 | inline XMap<M> xMap(M &m) |
---|
594 | { |
---|
595 | return XMap<M>(m); |
---|
596 | } |
---|
597 | |
---|
598 | template<class M> |
---|
599 | inline XMap<M> xMap(const M &m) |
---|
600 | { |
---|
601 | return XMap<M>(m); |
---|
602 | } |
---|
603 | |
---|
604 | ///Constant (read only) version of XMap |
---|
605 | |
---|
606 | ///Constant (read only) version of XMap. |
---|
607 | /// |
---|
608 | template<class M> |
---|
609 | class ConstXMap |
---|
610 | { |
---|
611 | const M& _map; |
---|
612 | public: |
---|
613 | |
---|
614 | typedef typename M::Value::Value Value; |
---|
615 | typedef typename M::Key Key; |
---|
616 | ///\e |
---|
617 | ConstXMap(const M &map) : _map(map) {} |
---|
618 | Value operator[](Key k) const {return _map[k].x;} |
---|
619 | }; |
---|
620 | |
---|
621 | ///Returns a ConstXMap class |
---|
622 | |
---|
623 | ///This function just returns a ConstXMap class. |
---|
624 | ///\relates ConstXMap |
---|
625 | template<class M> |
---|
626 | inline ConstXMap<M> xMap(const M &m) |
---|
627 | { |
---|
628 | return ConstXMap<M>(m); |
---|
629 | } |
---|
630 | |
---|
631 | ///Map of y-coordinates of a <tt>Point</tt>-map |
---|
632 | |
---|
633 | ///Map of y-coordinates of a \ref Point "Point"-map. |
---|
634 | /// |
---|
635 | template<class M> |
---|
636 | class YMap |
---|
637 | { |
---|
638 | M& _map; |
---|
639 | public: |
---|
640 | |
---|
641 | typedef typename M::Value::Value Value; |
---|
642 | typedef typename M::Key Key; |
---|
643 | ///\e |
---|
644 | YMap(M& map) : _map(map) {} |
---|
645 | Value operator[](Key k) const {return _map[k].y;} |
---|
646 | void set(Key k,Value v) {_map.set(k,typename M::Value(_map[k].x,v));} |
---|
647 | }; |
---|
648 | |
---|
649 | ///Returns a YMap class |
---|
650 | |
---|
651 | ///This function just returns a YMap class. |
---|
652 | ///\relates YMap |
---|
653 | template<class M> |
---|
654 | inline YMap<M> yMap(M &m) |
---|
655 | { |
---|
656 | return YMap<M>(m); |
---|
657 | } |
---|
658 | |
---|
659 | template<class M> |
---|
660 | inline YMap<M> yMap(const M &m) |
---|
661 | { |
---|
662 | return YMap<M>(m); |
---|
663 | } |
---|
664 | |
---|
665 | ///Constant (read only) version of YMap |
---|
666 | |
---|
667 | ///Constant (read only) version of YMap. |
---|
668 | /// |
---|
669 | template<class M> |
---|
670 | class ConstYMap |
---|
671 | { |
---|
672 | const M& _map; |
---|
673 | public: |
---|
674 | |
---|
675 | typedef typename M::Value::Value Value; |
---|
676 | typedef typename M::Key Key; |
---|
677 | ///\e |
---|
678 | ConstYMap(const M &map) : _map(map) {} |
---|
679 | Value operator[](Key k) const {return _map[k].y;} |
---|
680 | }; |
---|
681 | |
---|
682 | ///Returns a ConstYMap class |
---|
683 | |
---|
684 | ///This function just returns a ConstYMap class. |
---|
685 | ///\relates ConstYMap |
---|
686 | template<class M> |
---|
687 | inline ConstYMap<M> yMap(const M &m) |
---|
688 | { |
---|
689 | return ConstYMap<M>(m); |
---|
690 | } |
---|
691 | |
---|
692 | |
---|
693 | ///\brief Map of the normSquare() of a <tt>Point</tt>-map |
---|
694 | /// |
---|
695 | ///Map of the \ref Point::normSquare() "normSquare()" |
---|
696 | ///of a \ref Point "Point"-map. |
---|
697 | template<class M> |
---|
698 | class NormSquareMap |
---|
699 | { |
---|
700 | const M& _map; |
---|
701 | public: |
---|
702 | |
---|
703 | typedef typename M::Value::Value Value; |
---|
704 | typedef typename M::Key Key; |
---|
705 | ///\e |
---|
706 | NormSquareMap(const M &map) : _map(map) {} |
---|
707 | Value operator[](Key k) const {return _map[k].normSquare();} |
---|
708 | }; |
---|
709 | |
---|
710 | ///Returns a NormSquareMap class |
---|
711 | |
---|
712 | ///This function just returns a NormSquareMap class. |
---|
713 | ///\relates NormSquareMap |
---|
714 | template<class M> |
---|
715 | inline NormSquareMap<M> normSquareMap(const M &m) |
---|
716 | { |
---|
717 | return NormSquareMap<M>(m); |
---|
718 | } |
---|
719 | |
---|
720 | /// @} |
---|
721 | |
---|
722 | } //namespce dim2 |
---|
723 | |
---|
724 | } //namespace lemon |
---|
725 | |
---|
726 | #endif //LEMON_DIM2_H |
---|