1 /*
2  * rect.h - D2<Interval> specialization to Rect
3  *
4  * Copyright 2007 Michael Sloan <mgsloan@gmail.com>
5  *
6  * This library is free software; you can redistribute it and/or
7  * modify it either under the terms of the GNU Lesser General Public
8  * License version 2.1 as published by the Free Software Foundation
9  * (the "LGPL") or, at your option, under the terms of the Mozilla
10  * Public License Version 1.1 (the "MPL"). If you do not alter this
11  * notice, a recipient may use your version of this file under either
12  * the MPL or the LGPL.
13  *
14  * You should have received a copy of the LGPL along with this library
15  * in the file COPYING-LGPL-2.1; if not, output to the Free Software
16  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
17  * You should have received a copy of the MPL along with this library
18  * in the file COPYING-MPL-1.1
19  *
20  * The contents of this file are subject to the Mozilla Public License
21  * Version 1.1 (the "License"); you may not use this file except in
22  * compliance with the License. You may obtain a copy of the License at
23  * http://www.mozilla.org/MPL/
24  *
25  * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
26  * OF ANY KIND, either express or implied. See the LGPL or the MPL for
27  * the specific language governing rights and limitations.
28  *
29  */
30 
31 /* Authors of original rect class:
32  *   Lauris Kaplinski <lauris@kaplinski.com>
33  *   Nathan Hurst <njh@mail.csse.monash.edu.au>
34  *   bulia byak <buliabyak@users.sf.net>
35  *   MenTaLguY <mental@rydia.net>
36  */
37 
38 #ifdef _2GEOM_D2  /*This is intentional: we don't actually want anyone to
39                     include this, other than D2.h.  If somone else tries, D2
40                     won't be defined.  If it is, this will already be included. */
41 #ifndef _2GEOM_RECT
42 #define _2GEOM_RECT
43 
44 #include "matrix.h"
45 #include <boost/optional/optional.hpp>
46 
47 namespace Geom {
48 
49 typedef D2<Interval> Rect;
50 
51 Rect unify(const Rect &, const Rect &);
52 
53 template<>
54 class D2<Interval> {
55   private:
56     Interval f[2];
57   public:
58     D2<Interval>() { f[X] = f[Y] = Interval(0, 0); }
59 
60     D2<Interval>(Interval const &a, Interval const &b) {
61         f[X] = a;
62         f[Y] = b;
63     }
64 
65     D2<Interval>(Point const & a, Point const & b) {
66         f[X] = Interval(a[X], b[X]);
67         f[Y] = Interval(a[Y], b[Y]);
68     }
69 
70     inline Interval& operator[](unsigned i)              { return f[i]; }
71     inline Interval const & operator[](unsigned i) const { return f[i]; }
72 
min()73     inline Point min() const { return Point(f[X].min(), f[Y].min()); }
max()74     inline Point max() const { return Point(f[X].max(), f[Y].max()); }
75 
76     /** returns the four corners of the rectangle in positive order
77      *  (clockwise if +Y is up, anticlockwise if +Y is down) */
corner(unsigned i)78     Point corner(unsigned i) const {
79         switch(i % 4) {
80             case 0:  return Point(f[X].min(), f[Y].min());
81             case 1:  return Point(f[X].max(), f[Y].min());
82             case 2:  return Point(f[X].max(), f[Y].max());
83             default: return Point(f[X].min(), f[Y].max());
84         }
85     }
86 
87     //We should probably remove these - they're coord sys gnostic
top()88     inline double top() const { return f[Y].min(); }
bottom()89     inline double bottom() const { return f[Y].max(); }
left()90     inline double left() const { return f[X].min(); }
right()91     inline double right() const { return f[X].max(); }
92 
width()93     inline double width() const { return f[X].extent(); }
height()94     inline double height() const { return f[Y].extent(); }
95 
96     /** returns a vector from min to max. */
dimensions()97     inline Point dimensions() const { return Point(f[X].extent(), f[Y].extent()); }
midpoint()98     inline Point midpoint() const { return Point(f[X].middle(), f[Y].middle()); }
99 
area()100     inline double area() const { return f[X].extent() * f[Y].extent(); }
maxExtent()101     inline double maxExtent() const { return std::max(f[X].extent(), f[Y].extent()); }
102 
isEmpty()103     inline bool isEmpty()                 const {
104 	return f[X].isEmpty()        && f[Y].isEmpty();
105     }
intersects(Rect const & r)106     inline bool intersects(Rect const &r) const {
107 	return f[X].intersects(r[X]) && f[Y].intersects(r[Y]);
108     }
contains(Rect const & r)109     inline bool contains(Rect const &r)   const {
110 	return f[X].contains(r[X]) && f[Y].contains(r[Y]);
111     }
contains(Point const & p)112     inline bool contains(Point const &p)  const {
113 	return f[X].contains(p[X]) && f[Y].contains(p[Y]);
114     }
115 
expandTo(Point p)116     inline void expandTo(Point p)        {
117 	f[X].extendTo(p[X]);  f[Y].extendTo(p[Y]);
118     }
unionWith(Rect const & b)119     inline void unionWith(Rect const &b) {
120 	f[X].unionWith(b[X]); f[Y].unionWith(b[Y]);
121     }
122 
expandBy(double amnt)123     inline void expandBy(double amnt)    {
124 	f[X].expandBy(amnt);  f[Y].expandBy(amnt);
125     }
expandBy(Point const p)126     inline void expandBy(Point const p)  {
127 	f[X].expandBy(p[X]);  f[Y].expandBy(p[Y]);
128     }
129 
130     /** Transforms the rect by m. Note that it gives correct results only for scales and translates,
131         in the case of rotations, the area of the rect will grow as it cannot rotate. */
132     inline Rect operator*(Matrix const m) const {
133         return unify(Rect(corner(0) * m, corner(2) * m),
134                      Rect(corner(1) * m, corner(3) * m));
135     }
136 };
137 
unify(Rect const & a,Rect const & b)138 inline Rect unify(Rect const & a, Rect const & b) {
139     return Rect(unify(a[X], b[X]), unify(a[Y], b[Y]));
140 }
141 
union_list(std::vector<Rect> const & r)142 inline Rect union_list(std::vector<Rect> const &r) {
143     if(r.empty()) return Rect(Interval(0,0), Interval(0,0));
144     Rect ret = r[0];
145     for(unsigned i = 1; i < r.size(); i++)
146         ret.unionWith(r[i]);
147     return ret;
148 }
149 
intersect(Rect const & a,Rect const & b)150 inline boost::optional<Rect> intersect(Rect const & a, Rect const & b) {
151     boost::optional<Interval> x = intersect(a[X], b[X]);
152     boost::optional<Interval> y = intersect(a[Y], b[Y]);
153     return x && y ? boost::optional<Rect>(Rect(*x, *y)) : boost::optional<Rect>();
154 }
155 
156 }
157 
158 #endif //_2GEOM_RECT
159 #endif //_2GEOM_D2
160 /*
161   Local Variables:
162   mode:c++
163   c-file-style:"stroustrup"
164   c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
165   indent-tabs-mode:nil
166   fill-column:99
167   End:
168 */
169 // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:encoding=utf-8:textwidth=99 :
170