1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
|
// shape.h
// Definition of classes Point, Shape, Polyline,
// Line, Polygon, Rectangle, Ellipse, Circle.
#ifndef SHAPE_H
#define SHAPE_H
#include <sstream>
using std::string;
using std::stringstream;
using std::ostream;
#include <iostream>
using std::cout;
using std::endl;
using std::cin;
#include <cmath> // sqrt
// class Point
struct Point
{
double x, y;
Point( double xx = 0.0, double yy = 0.0 )
: x( xx ), y( yy ) { }
double distance( const Point& p2 ) const
{
double dx = x - p2.x,
dy = y - p2.y;
return sqrt( dx * dx + dy * dy );
}
string toString() const
{
stringstream sstream;
sstream << '(' << x << ", " << y << ')';
return sstream.str();
}
Point& operator*=( double c )
{
x *= c;
y *= c;
return *this;
}
};
inline Point operator+( const Point& p1, const Point& p2 )
{
return Point( p1.x + p2.x, p1.y + p2.y );
}
inline Point operator-( const Point& p1, const Point& p2 )
{
return Point( p1.x - p2.x, p1.y - p2.y );
}
inline bool operator==( const Point& p1, const Point& p2 )
{
return p1.x == p2.x && p1.y == p2.y;
}
inline bool operator!=( const Point& p1, const Point& p2 )
{
return !( p1 == p2 );
}
inline ostream& operator<<( ostream& os, const Point& p )
{
os << p.toString(); return os;
}
// class Shape
class Shape
{
protected:
Point anchor; // anchor: point of reference for position of figure
public:
Shape( const Point& a = Point() ) : anchor( a ) { }
virtual ~Shape() { }
Point getAnchor() const { return anchor; }
void setAnchor( Point a ) { anchor = a; }
void move( double dx, double dy ) // displacement
{ anchor.x += dx; anchor.y += dy; }
virtual void scale( double scalingFactor ) = 0;
virtual void draw() const = 0;
virtual string toString() const
{
string str( "Shape-Anker: " );
return str += anchor.toString();
}
};
// class Polyline
class Polyline : public Shape
{
protected:
Point* arrPoints; // end-points of lines, relativ to anchor
int nLines; // number of line-segments == number of end-points
public:
Polyline( const Point& a = Point() ) // only one point
: Shape( a ), nLines( 0 ), arrPoints( NULL ) { }
Polyline( const Point& p1, const Point& p2 ) // one line
: Shape( p1 ), nLines( 1 )
{
arrPoints = new Point( p2 - p1 );
}
Polyline( Point arr[], int n );
Polyline( const Polyline& src ); // copy constructor
~Polyline() { delete [] arrPoints; } // destructor
Polyline& operator=( const Polyline& src ); // assignment
int getNumberOfLines() const { return nLines; }
double getLength() const;
void scale( double scalingFactor ); // scaling
virtual void draw() const { }
Polyline& operator+=( const Point& p ); // appends a new point
Polyline& operator+=( const Polyline& pl ); // appends a new line
string toString() const;
};
// class Line
class Line : public Polyline
{
public:
Line( Point a, Point b ) : Polyline( a, b ) { }
Line( double x1, double y1, double x2, double y2 )
: Polyline( Point( x1, y1 ), Point( x2, y2 ) ) { }
private:
Polyline& operator+=( const Point& ); // not allowed
Polyline& operator+=( const Polyline& ); // not allowed
};
// class Polygon
class Polygon : public Polyline
{
public:
Polygon( Point a = Point( 0, 0 ) ) : Polyline( a ) {}
Polygon( Point arr[], int n )
: Polyline( arr, n )
{}
int getNumberOfVertices() const
{
if( nLines == 0 || arrPoints[ nLines - 1 ] != anchor )
return nLines + 1;
else
return nLines;
}
int getNumberOfLines() const
{ return getNumberOfVertices(); }
double getCircumference() const
{
double len = Polyline::getLength();
if( nLines > 0 )
len += anchor.distance( anchor + arrPoints[ nLines - 1 ] );
return len;
}
double getLength() const { return getCircumference(); }
};
// class Rectangle
class Rectangle : public Polygon // rectangle
{ // anchor: left lower corner
public:
Rectangle( Point lBottom, double w, double h )
: Polygon( lBottom )
{
nLines = 3; // number of lines: nLines + 1
arrPoints = new Point[ 3 ];
arrPoints[ 0 ] = Point( 0, h );
arrPoints[ 1 ] = Point( w, h );
arrPoints[ 2 ] = Point( w, 0 );
}
Rectangle( Point lBottom, Point rTop )
{
*this = Rectangle( lBottom, rTop.x - lBottom.x, rTop.y - lBottom.y );
}
double getHeight() const { return arrPoints[ 0 ].y; }
double getWidth() const { return arrPoints[ 2 ].x; }
double getArea() const { return getHeight() * getWidth(); }
private:
Polyline& operator+=( const Point& ); // not allowed
Polyline& operator+=( const Polyline& ); // not allowed
};
// class Ellipse
class Ellipse : public Shape // anchor-centered ellipse
{
protected:
double a, b; // semi-major and semi-minor axis
public:
Ellipse( Point m, double aa, double bb )
: Shape( m ), a( aa ), b( bb )
{ }
double getSemimajorAxis() const { return a; }
double getSemiminorAxis() const { return b; }
bool setSemimajorAxis( double aa )
{
if( aa >= 0 ) { a = aa; return true; }
else return false;
}
bool setSemiminorAxis( double bb )
{
if( bb >= 0 ) { b = bb; return true; }
else return false;
}
void scale( double scalingFactor ) // scaling
{
a *= scalingFactor; b *= scalingFactor;
}
virtual void draw() const { }
double getCircumference() const
{
return 3.14159 * ( 1.5 * ( a + b ) - sqrt( a * b ) );
}
string toString() const
{
stringstream sstream;
sstream << "Ellipsen-Mittelpunkt: " << anchor.toString()
<< " Halbachsen: " << a << " und " << b;
return sstream.str();
}
};
// class Circle
class Circle : public Ellipse // anchor-centered circle
{
public:
Circle( Point m, double r )
: Ellipse( m, r, r )
{ }
double getRadius() const { return a; }
bool setRadius( double r )
{
if( r >= 0 ) { a = r; b = r; return true; }
else return false;
}
string toString() const
{
stringstream sstream;
sstream << "Kreis-Mittelpunkt: " << anchor.toString()
<< " Radius: " << a;
return sstream.str();
}
};
#endif
|
