LabWorks/quadrangle.h at master · JuliaNortman/LabWorks · GitHub

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
#pragma once
#include "figures.h"


class quadrangle :public figures
{
public:
	quadrangle();
	quadrangle(point vert[]);
	~quadrangle();
	bool isTrapeze();
	bool isParallelogram();
	bool isRhombus();
	bool isRectangle();
	bool isSquare();
	double area();
	void formEdges();
};

void quadrangle::formEdges()
{

	e[0] = length(v[0], v[1]);
	e[1] = length(v[1], v[2]);
	e[2] = length(v[2], v[3]);
	e[3] = length(v[3], v[0]);
}

quadrangle::quadrangle()
{
	n = 4;
	e = new double[n];
	v = new point[n];
	for (int i = 0; i < n; ++i)
	{
		srand(time(NULL) + i);
		v[i].x = rand() % 60;
		srand(time(NULL) + i + 10);
		v[i].y = rand() % 60;
	}
	formEdges();
}

quadrangle::quadrangle(point vert[])
{
	n = 4;
	e = new double[n];
	v = new point[n];
	for (int i = 0; i < n; ++i)
	{
		v[i] = vert[i];
	}
	formEdges();
}

quadrangle::~quadrangle()
{
	delete[]e;
	delete[]v;
}

bool quadrangle::isTrapeze()
{
	if (TriangleInequality())
	{
		if (abs(abs(scalar(v[2], v[1], v[3], v[0])) - e[1] * e[3]) <= eps)
		{
			return true;
		}
		else if (abs(abs(scalar(v[0], v[1], v[3], v[2])) - e[0] * e[2]) <= eps)
		{
			return true;
		}
	}
	return false;
}

bool quadrangle::isParallelogram()
{
	if (TriangleInequality())
	{
		double sc1 = scalar(v[2], v[1], v[3], v[0]) - e[1] * e[3];
		double sc2 = scalar(v[0], v[1], v[3], v[2]) - e[0] * e[2];
		if (abs(sc1 <= eps) && abs(sc2 <= eps)) return true;
	}
	return false;
}

bool quadrangle::isRhombus()
{
	if (isParallelogram())
	{
		if (abs(e[0] - e[1]) <= eps) return true;
	}
	return false;
}

bool quadrangle::isRectangle()
{
	if (isParallelogram())
	{
		if (isRightAngle(v[0], v[1], v[2])) return true;
	}
	return false;
}

bool quadrangle::isSquare()
{
	if (isRhombus())
	{
		if (isRightAngle(v[0], v[1], v[2])) return true;
	}
	return false;
}

double quadrangle::area()
{
	if (isSquare() || isRectangle()) return e[0] * e[1];
	double l = length(v[0], v[2]);
	if (isRhombus() || isParallelogram())
	{
		double p = (l + e[0] + e[1]) / 2;
		return 2 * sqrt(p*(p - e[0])*(p - e[1])*(p - l));
	}
	else
	{
		double p1 = (l + e[0] + e[1]) / 2;
		double p2 = (l + e[2] + e[3]) / 2;
		double s1 = sqrt(p1*(p1 - e[0])*(p1 - e[1])*(p1 - l));
		double s2 = sqrt(p2*(p2 - e[2])*(p2 - e[3])*(p2 - l));
		return s1 + s2;
	}
}