# source:lemon-main/lemon/dim2.h@714:98a30824fe36

Last change on this file since 714:98a30824fe36 was 714:98a30824fe36, checked in by Peter Kovacs <kpeter@…>, 10 years ago

Rearrange modules (#303)

File size: 17.0 KB
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1/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 *
3 * This file is a part of LEMON, a generic C++ optimization library.
4 *
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
24///\ingroup geomdat
25///\file
26///\brief A simple two dimensional vector and a bounding box implementation
27
28namespace lemon {
29
30  ///Tools for handling two dimensional coordinates
31
32  ///This namespace is a storage of several
33  ///tools for handling two dimensional coordinates
34  namespace dim2 {
35
37  /// @{
38
39  /// Two dimensional vector (plain vector)
40
41  /// A simple two dimensional vector (plain vector) implementation
42  /// with the usual vector operations.
43  template<typename T>
44    class Point {
45
46    public:
47
48      typedef T Value;
49
50      ///First coordinate
51      T x;
52      ///Second coordinate
53      T y;
54
55      ///Default constructor
56      Point() {}
57
58      ///Construct an instance from coordinates
59      Point(T a, T b) : x(a), y(b) { }
60
61      ///Returns the dimension of the vector (i.e. returns 2).
62
63      ///The dimension of the vector.
64      ///This function always returns 2.
65      int size() const { return 2; }
66
67      ///Subscripting operator
68
69      ///\c p[0] is \c p.x and \c p[1] is \c p.y
70      ///
71      T& operator[](int idx) { return idx == 0 ? x : y; }
72
73      ///Const subscripting operator
74
75      ///\c p[0] is \c p.x and \c p[1] is \c p.y
76      ///
77      const T& operator[](int idx) const { return idx == 0 ? x : y; }
78
79      ///Conversion constructor
80      template<class TT> Point(const Point<TT> &p) : x(p.x), y(p.y) {}
81
82      ///Give back the square of the norm of the vector
83      T normSquare() const {
84        return x*x+y*y;
85      }
86
87      ///Increment the left hand side by \c u
88      Point<T>& operator +=(const Point<T>& u) {
89        x += u.x;
90        y += u.y;
91        return *this;
92      }
93
94      ///Decrement the left hand side by \c u
95      Point<T>& operator -=(const Point<T>& u) {
96        x -= u.x;
97        y -= u.y;
98        return *this;
99      }
100
101      ///Multiply the left hand side with a scalar
102      Point<T>& operator *=(const T &u) {
103        x *= u;
104        y *= u;
105        return *this;
106      }
107
108      ///Divide the left hand side by a scalar
109      Point<T>& operator /=(const T &u) {
110        x /= u;
111        y /= u;
112        return *this;
113      }
114
115      ///Return the scalar product of two vectors
116      T operator *(const Point<T>& u) const {
117        return x*u.x+y*u.y;
118      }
119
120      ///Return the sum of two vectors
121      Point<T> operator+(const Point<T> &u) const {
122        Point<T> b=*this;
123        return b+=u;
124      }
125
126      ///Return the negative of the vector
127      Point<T> operator-() const {
128        Point<T> b=*this;
129        b.x=-b.x; b.y=-b.y;
130        return b;
131      }
132
133      ///Return the difference of two vectors
134      Point<T> operator-(const Point<T> &u) const {
135        Point<T> b=*this;
136        return b-=u;
137      }
138
139      ///Return a vector multiplied by a scalar
140      Point<T> operator*(const T &u) const {
141        Point<T> b=*this;
142        return b*=u;
143      }
144
145      ///Return a vector divided by a scalar
146      Point<T> operator/(const T &u) const {
147        Point<T> b=*this;
148        return b/=u;
149      }
150
151      ///Test equality
152      bool operator==(const Point<T> &u) const {
153        return (x==u.x) && (y==u.y);
154      }
155
156      ///Test inequality
157      bool operator!=(Point u) const {
158        return  (x!=u.x) || (y!=u.y);
159      }
160
161    };
162
163  ///Return a Point
164
165  ///Return a Point.
166  ///\relates Point
167  template <typename T>
168  inline Point<T> makePoint(const T& x, const T& y) {
169    return Point<T>(x, y);
170  }
171
172  ///Return a vector multiplied by a scalar
173
174  ///Return a vector multiplied by a scalar.
175  ///\relates Point
176  template<typename T> Point<T> operator*(const T &u,const Point<T> &x) {
177    return x*u;
178  }
179
180  ///Read a plain vector from a stream
181
182  ///Read a plain vector from a stream.
183  ///\relates Point
184  ///
185  template<typename T>
186  inline std::istream& operator>>(std::istream &is, Point<T> &z) {
187    char c;
188    if (is >> c) {
189      if (c != '(') is.putback(c);
190    } else {
191      is.clear();
192    }
193    if (!(is >> z.x)) return is;
194    if (is >> c) {
195      if (c != ',') is.putback(c);
196    } else {
197      is.clear();
198    }
199    if (!(is >> z.y)) return is;
200    if (is >> c) {
201      if (c != ')') is.putback(c);
202    } else {
203      is.clear();
204    }
205    return is;
206  }
207
208  ///Write a plain vector to a stream
209
210  ///Write a plain vector to a stream.
211  ///\relates Point
212  ///
213  template<typename T>
214  inline std::ostream& operator<<(std::ostream &os, const Point<T>& z)
215  {
216    os << "(" << z.x << "," << z.y << ")";
217    return os;
218  }
219
220  ///Rotate by 90 degrees
221
222  ///Returns the parameter rotated by 90 degrees in positive direction.
223  ///\relates Point
224  ///
225  template<typename T>
226  inline Point<T> rot90(const Point<T> &z)
227  {
228    return Point<T>(-z.y,z.x);
229  }
230
231  ///Rotate by 180 degrees
232
233  ///Returns the parameter rotated by 180 degrees.
234  ///\relates Point
235  ///
236  template<typename T>
237  inline Point<T> rot180(const Point<T> &z)
238  {
239    return Point<T>(-z.x,-z.y);
240  }
241
242  ///Rotate by 270 degrees
243
244  ///Returns the parameter rotated by 90 degrees in negative direction.
245  ///\relates Point
246  ///
247  template<typename T>
248  inline Point<T> rot270(const Point<T> &z)
249  {
250    return Point<T>(z.y,-z.x);
251  }
252
253
254
255  /// Bounding box of plain vectors (points).
256
257  /// A class to calculate or store the bounding box of plain vectors
258  /// (\ref Point "points").
259  template<typename T>
260  class Box {
261      Point<T> _bottom_left, _top_right;
262      bool _empty;
263    public:
264
265      ///Default constructor: creates an empty box
266      Box() { _empty = true; }
267
268      ///Construct a box from one point
269      Box(Point<T> a) {
270        _bottom_left = _top_right = a;
271        _empty = false;
272      }
273
274      ///Construct a box from two points
275
276      ///Construct a box from two points.
277      ///\param a The bottom left corner.
278      ///\param b The top right corner.
279      ///\warning The coordinates of the bottom left corner must be no more
280      ///than those of the top right one.
281      Box(Point<T> a,Point<T> b)
282      {
283        _bottom_left = a;
284        _top_right = b;
285        _empty = false;
286      }
287
288      ///Construct a box from four numbers
289
290      ///Construct a box from four numbers.
291      ///\param l The left side of the box.
292      ///\param b The bottom of the box.
293      ///\param r The right side of the box.
294      ///\param t The top of the box.
295      ///\warning The left side must be no more than the right side and
296      ///bottom must be no more than the top.
297      Box(T l,T b,T r,T t)
298      {
299        _bottom_left=Point<T>(l,b);
300        _top_right=Point<T>(r,t);
301        _empty = false;
302      }
303
304      ///Return \c true if the box is empty.
305
306      ///Return \c true if the box is empty (i.e. return \c false
307      ///if at least one point was added to the box or the coordinates of
308      ///the box were set).
309      ///
310      ///The coordinates of an empty box are not defined.
311      bool empty() const {
312        return _empty;
313      }
314
315      ///Make the box empty
316      void clear() {
317        _empty = true;
318      }
319
320      ///Give back the bottom left corner of the box
321
322      ///Give back the bottom left corner of the box.
323      ///If the box is empty, then the return value is not defined.
324      Point<T> bottomLeft() const {
325        return _bottom_left;
326      }
327
328      ///Set the bottom left corner of the box
329
330      ///Set the bottom left corner of the box.
331      ///\pre The box must not be empty.
332      void bottomLeft(Point<T> p) {
333        _bottom_left = p;
334      }
335
336      ///Give back the top right corner of the box
337
338      ///Give back the top right corner of the box.
339      ///If the box is empty, then the return value is not defined.
340      Point<T> topRight() const {
341        return _top_right;
342      }
343
344      ///Set the top right corner of the box
345
346      ///Set the top right corner of the box.
347      ///\pre The box must not be empty.
348      void topRight(Point<T> p) {
349        _top_right = p;
350      }
351
352      ///Give back the bottom right corner of the box
353
354      ///Give back the bottom right corner of the box.
355      ///If the box is empty, then the return value is not defined.
356      Point<T> bottomRight() const {
357        return Point<T>(_top_right.x,_bottom_left.y);
358      }
359
360      ///Set the bottom right corner of the box
361
362      ///Set the bottom right corner of the box.
363      ///\pre The box must not be empty.
364      void bottomRight(Point<T> p) {
365        _top_right.x = p.x;
366        _bottom_left.y = p.y;
367      }
368
369      ///Give back the top left corner of the box
370
371      ///Give back the top left corner of the box.
372      ///If the box is empty, then the return value is not defined.
373      Point<T> topLeft() const {
374        return Point<T>(_bottom_left.x,_top_right.y);
375      }
376
377      ///Set the top left corner of the box
378
379      ///Set the top left corner of the box.
380      ///\pre The box must not be empty.
381      void topLeft(Point<T> p) {
382        _top_right.y = p.y;
383        _bottom_left.x = p.x;
384      }
385
386      ///Give back the bottom of the box
387
388      ///Give back the bottom of the box.
389      ///If the box is empty, then the return value is not defined.
390      T bottom() const {
391        return _bottom_left.y;
392      }
393
394      ///Set the bottom of the box
395
396      ///Set the bottom of the box.
397      ///\pre The box must not be empty.
398      void bottom(T t) {
399        _bottom_left.y = t;
400      }
401
402      ///Give back the top of the box
403
404      ///Give back the top of the box.
405      ///If the box is empty, then the return value is not defined.
406      T top() const {
407        return _top_right.y;
408      }
409
410      ///Set the top of the box
411
412      ///Set the top of the box.
413      ///\pre The box must not be empty.
414      void top(T t) {
415        _top_right.y = t;
416      }
417
418      ///Give back the left side of the box
419
420      ///Give back the left side of the box.
421      ///If the box is empty, then the return value is not defined.
422      T left() const {
423        return _bottom_left.x;
424      }
425
426      ///Set the left side of the box
427
428      ///Set the left side of the box.
429      ///\pre The box must not be empty.
430      void left(T t) {
431        _bottom_left.x = t;
432      }
433
434      /// Give back the right side of the box
435
436      /// Give back the right side of the box.
437      ///If the box is empty, then the return value is not defined.
438      T right() const {
439        return _top_right.x;
440      }
441
442      ///Set the right side of the box
443
444      ///Set the right side of the box.
445      ///\pre The box must not be empty.
446      void right(T t) {
447        _top_right.x = t;
448      }
449
450      ///Give back the height of the box
451
452      ///Give back the height of the box.
453      ///If the box is empty, then the return value is not defined.
454      T height() const {
455        return _top_right.y-_bottom_left.y;
456      }
457
458      ///Give back the width of the box
459
460      ///Give back the width of the box.
461      ///If the box is empty, then the return value is not defined.
462      T width() const {
463        return _top_right.x-_bottom_left.x;
464      }
465
466      ///Checks whether a point is inside the box
467      bool inside(const Point<T>& u) const {
468        if (_empty)
469          return false;
470        else {
471          return ( (u.x-_bottom_left.x)*(_top_right.x-u.x) >= 0 &&
472                   (u.y-_bottom_left.y)*(_top_right.y-u.y) >= 0 );
473        }
474      }
475
476      ///Increments the box with a point
477
478      ///Increments the box with a point.
479      ///
481        if (_empty) {
482          _bottom_left = _top_right = u;
483          _empty = false;
484        }
485        else {
486          if (_bottom_left.x > u.x) _bottom_left.x = u.x;
487          if (_bottom_left.y > u.y) _bottom_left.y = u.y;
488          if (_top_right.x < u.x) _top_right.x = u.x;
489          if (_top_right.y < u.y) _top_right.y = u.y;
490        }
491        return *this;
492      }
493
494      ///Increments the box to contain another box
495
496      ///Increments the box to contain another box.
497      ///
499        if ( !u.empty() ){
502        }
503        return *this;
504      }
505
506      ///Intersection of two boxes
507
508      ///Intersection of two boxes.
509      ///
510      Box operator&(const Box& u) const {
511        Box b;
512        if (_empty || u._empty) {
513          b._empty = true;
514        } else {
515          b._bottom_left.x = std::max(_bottom_left.x, u._bottom_left.x);
516          b._bottom_left.y = std::max(_bottom_left.y, u._bottom_left.y);
517          b._top_right.x = std::min(_top_right.x, u._top_right.x);
518          b._top_right.y = std::min(_top_right.y, u._top_right.y);
519          b._empty = b._bottom_left.x > b._top_right.x ||
520                     b._bottom_left.y > b._top_right.y;
521        }
522        return b;
523      }
524
525  };//class Box
526
527
528  ///Read a box from a stream
529
530  ///Read a box from a stream.
531  ///\relates Box
532  template<typename T>
533  inline std::istream& operator>>(std::istream &is, Box<T>& b) {
534    char c;
535    Point<T> p;
536    if (is >> c) {
537      if (c != '(') is.putback(c);
538    } else {
539      is.clear();
540    }
541    if (!(is >> p)) return is;
542    b.bottomLeft(p);
543    if (is >> c) {
544      if (c != ',') is.putback(c);
545    } else {
546      is.clear();
547    }
548    if (!(is >> p)) return is;
549    b.topRight(p);
550    if (is >> c) {
551      if (c != ')') is.putback(c);
552    } else {
553      is.clear();
554    }
555    return is;
556  }
557
558  ///Write a box to a stream
559
560  ///Write a box to a stream.
561  ///\relates Box
562  template<typename T>
563  inline std::ostream& operator<<(std::ostream &os, const Box<T>& b)
564  {
565    os << "(" << b.bottomLeft() << "," << b.topRight() << ")";
566    return os;
567  }
568
569  ///Map of x-coordinates of a <tt>Point</tt>-map
570
571  ///Map of x-coordinates of a \ref Point "Point"-map.
572  ///
573  template<class M>
574  class XMap
575  {
576    M& _map;
577  public:
578
579    typedef typename M::Value::Value Value;
580    typedef typename M::Key Key;
581    ///\e
582    XMap(M& map) : _map(map) {}
583    Value operator[](Key k) const {return _map[k].x;}
584    void set(Key k,Value v) {_map.set(k,typename M::Value(v,_map[k].y));}
585  };
586
587  ///Returns an XMap class
588
589  ///This function just returns an XMap class.
590  ///\relates XMap
591  template<class M>
592  inline XMap<M> xMap(M &m)
593  {
594    return XMap<M>(m);
595  }
596
597  template<class M>
598  inline XMap<M> xMap(const M &m)
599  {
600    return XMap<M>(m);
601  }
602
603  ///Constant (read only) version of XMap
604
605  ///Constant (read only) version of XMap.
606  ///
607  template<class M>
608  class ConstXMap
609  {
610    const M& _map;
611  public:
612
613    typedef typename M::Value::Value Value;
614    typedef typename M::Key Key;
615    ///\e
616    ConstXMap(const M &map) : _map(map) {}
617    Value operator[](Key k) const {return _map[k].x;}
618  };
619
620  ///Returns a ConstXMap class
621
622  ///This function just returns a ConstXMap class.
623  ///\relates ConstXMap
624  template<class M>
625  inline ConstXMap<M> xMap(const M &m)
626  {
627    return ConstXMap<M>(m);
628  }
629
630  ///Map of y-coordinates of a <tt>Point</tt>-map
631
632  ///Map of y-coordinates of a \ref Point "Point"-map.
633  ///
634  template<class M>
635  class YMap
636  {
637    M& _map;
638  public:
639
640    typedef typename M::Value::Value Value;
641    typedef typename M::Key Key;
642    ///\e
643    YMap(M& map) : _map(map) {}
644    Value operator[](Key k) const {return _map[k].y;}
645    void set(Key k,Value v) {_map.set(k,typename M::Value(_map[k].x,v));}
646  };
647
648  ///Returns a YMap class
649
650  ///This function just returns a YMap class.
651  ///\relates YMap
652  template<class M>
653  inline YMap<M> yMap(M &m)
654  {
655    return YMap<M>(m);
656  }
657
658  template<class M>
659  inline YMap<M> yMap(const M &m)
660  {
661    return YMap<M>(m);
662  }
663
664  ///Constant (read only) version of YMap
665
666  ///Constant (read only) version of YMap.
667  ///
668  template<class M>
669  class ConstYMap
670  {
671    const M& _map;
672  public:
673
674    typedef typename M::Value::Value Value;
675    typedef typename M::Key Key;
676    ///\e
677    ConstYMap(const M &map) : _map(map) {}
678    Value operator[](Key k) const {return _map[k].y;}
679  };
680
681  ///Returns a ConstYMap class
682
683  ///This function just returns a ConstYMap class.
684  ///\relates ConstYMap
685  template<class M>
686  inline ConstYMap<M> yMap(const M &m)
687  {
688    return ConstYMap<M>(m);
689  }
690
691
692  ///\brief Map of the normSquare() of a <tt>Point</tt>-map
693  ///
694  ///Map of the \ref Point::normSquare() "normSquare()"
695  ///of a \ref Point "Point"-map.
696  template<class M>
697  class NormSquareMap
698  {
699    const M& _map;
700  public:
701
702    typedef typename M::Value::Value Value;
703    typedef typename M::Key Key;
704    ///\e
705    NormSquareMap(const M &map) : _map(map) {}
706    Value operator[](Key k) const {return _map[k].normSquare();}
707  };
708
709  ///Returns a NormSquareMap class
710
711  ///This function just returns a NormSquareMap class.
712  ///\relates NormSquareMap
713  template<class M>
714  inline NormSquareMap<M> normSquareMap(const M &m)
715  {
716    return NormSquareMap<M>(m);
717  }
718
719  /// @}
720
721  } //namespce dim2
722
723} //namespace lemon
724
725#endif //LEMON_DIM2_H
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