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
|
#include <GL/gl.h>
#include <GL/glut.h>
#include <math.h>
#include <stdio.h>
#define PI 3.14159265358979323846
typedef double vector[3];
typedef double matrix[9];
//Convert angles between degrees and radians
double degreesToRadians(double angle)
{
return (PI/180)*angle;
}
double radiansToDegrees(double angle)
{
return (180/PI)/angle;
}
// Vector
class Vector
{
private:vector data;
public: // Constructor
Vector(vector v)
{
data = new vector;
}
~Vector()
{
delete data;
}
// Print to stdout
void print()
{
printf("(%3.3f, %3.3f, %3.3f)\n", data[0], data[1], data[2]);
}
friend class Matrix;
}
// Matrix
class Matrix
{
private: matrix data;
public: // Default constructor, identity matrix
Matrix()
{
data = {1.0,0.0,0.0,
0.0,1.0,0.0,
0.0,0.0,1.0 };
}
// Constructor
Matrix(matrix data_)
{
data = data_;
}
// Print to stdout
void print()
{
for(int i=0; i<9; i+=3)
{
printf("[%3.3f\t%3.3f\t%3.3f]\n", data[i+0], data[i+1], data[i+2]);
}
printf("\n");
}
// Multiply by matrix
Matrix operator*(Matrix m)
{
matrix temp;
for(int x=0; x<3; x++)
{
for(int y=0; y<3; y++)
{
temp[3*x+y] = 0.0;
for(int i=0; i<3; i++)
{
temp[3*x+y] = temp[3*x+y] + m.data[3*x+i]*data[3*i+y];
}
}
}
return Matrix(temp);
}
// Multiply by vector
Vector operator*(Vector v)
{
vector temp = {0.0,0.0,0.0};
for(int x=0; x<3; x++)
{
for(int y=0; y<3; y++)
{
temp[y] += data[3*x+y]*v.data[x];
}
}
return Vector(temp);
}
// Multiply by scalar
Matrix operator*(double s)
{
matrix temp;
for(int i=0; i<9; i++)
{
temp[i] = data[i]*s;
}
return Matrix(temp);
}
//Load into the modelview matrix
void load()
{
glMatrixMode(GL_MODELVIEW);
glLoadMatrixf(this.transpose());
}
//Place a reflection matrix across y=0 into M
Matrix reflect()
{
matrix temp = {-1, 0, 0,
0, 1, 0,
0, 0, 1 };
return Matrix(temp);
}
//Place the scale transform of magnitude s into M
Matrix scale(double s)
{
matrix temp = { s,0,0,
0,s,0,
0,0,s };
return Matrix(temp);
}
//Place the translation transform of <x,y> into M
Matrix translate(double x, double y)
{
matrix temp = { 1,0,x,
0,1,y,
0,0,1 };
return Matrix(temp);
}
//Place the transpose of matrix M into matrix N
Matrix transpose()
{
matrix temp = { data[3*0 + 0], data[3*1 + 0], data[3*2 + 0],
data[3*0 + 1], data[3*1 + 1], data[3*2 + 1],
data[3*0 + 2], data[3*1 + 2], data[3*2 + 2] };
return Matrix(temp);
}
}
|
