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
|
#ifndef VEC3_H
#define VEC3_H
#include <cmath>
#include <iostream>
using std::sqrt;
class vec3 {
public:
vec3() : e{0,0,0} {}
vec3(float e0, float e1, float e2) : e{e0, e1, e2} {}
float x() const { return e[0]; }
float y() const { return e[1]; }
float z() const { return e[2]; }
vec3 operator-() const { return vec3(-e[0], -e[1], -e[2]); }
float operator[](int i) const { return e[i]; }
float& operator[](int i) { return e[i]; }
vec3& operator+=(const vec3 &v) {
e[0] += v.e[0];
e[1] += v.e[1];
e[2] += v.e[2];
return *this;
}
vec3& operator*=(const float t) {
e[0] *= t;
e[1] *= t;
e[2] *= t;
return *this;
}
vec3& operator/=(const float t) {
return *this *= 1/t;
}
float length() const {
return sqrt(length_squared());
}
float length_squared() const {
return e[0]*e[0] + e[1]*e[1] + e[2]*e[2];
}
public:
float e[3];
};
// Type aliases for vec3
using point3 = vec3; // 3D point
using color = vec3; // RGB color
// vec3 Utility Functions
inline std::ostream& operator<<(std::ostream &out, const vec3 &v) {
return out << v.e[0] << ' ' << v.e[1] << ' ' << v.e[2];
}
inline vec3 operator+(const vec3 &u, const vec3 &v) {
return vec3(u.e[0] + v.e[0], u.e[1] + v.e[1], u.e[2] + v.e[2]);
}
inline vec3 operator-(const vec3 &u, const vec3 &v) {
return vec3(u.e[0] - v.e[0], u.e[1] - v.e[1], u.e[2] - v.e[2]);
}
inline vec3 operator*(const vec3 &u, const vec3 &v) {
return vec3(u.e[0] * v.e[0], u.e[1] * v.e[1], u.e[2] * v.e[2]);
}
inline vec3 operator*(float t, const vec3 &v) {
return vec3(t*v.e[0], t*v.e[1], t*v.e[2]);
}
inline vec3 operator*(const vec3 &v, float t) {
return t * v;
}
inline vec3 operator/(vec3 v, float t) {
return (1/t) * v;
}
inline float dot(const vec3 &u, const vec3 &v) {
return u.e[0] * v.e[0]
+ u.e[1] * v.e[1]
+ u.e[2] * v.e[2];
}
inline vec3 cross(const vec3 &u, const vec3 &v) {
return vec3(u.e[1] * v.e[2] - u.e[2] * v.e[1],
u.e[2] * v.e[0] - u.e[0] * v.e[2],
u.e[0] * v.e[1] - u.e[1] * v.e[0]);
}
inline vec3 unit_vector(vec3 v) {
return v / v.length();
}
#endif
|