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
|
/* copy-pasted from:
* https://www.programming-techniques.com/2013/05/basic-euclidean-vector-operations-in-c.htm
*/
#include <iostream>
#include <cmath>
#include "vec3.h"
using std::ostream;
vec3::vec3() {
v[0] = 0;
v[1] = 0;
v[2] = 0;
}
vec3::vec3(double x) {
v[0] = x;
v[1] = 0;
v[2] = 0;
}
vec3::vec3(double x, double y, double z) {
v[0] = x;
v[1] = y;
v[2] = z;
}
double &vec3::operator[](int index) {
return v[index];
}
double vec3::operator[](int index) const {
return v[index];
}
vec3 vec3::operator*(double scale) const {
return vec3(v[0] * scale, v[1] * scale, v[2] * scale);
}
vec3 vec3::operator/(double scale) const {
return vec3(v[0] / scale, v[1] / scale, v[2] / scale);
}
vec3 vec3::operator+(const vec3 &other) const{
return vec3(v[0] + other.v[0], v[1] + other.v[1], v[2] + other.v[2]);
}
vec3 vec3::operator-(const vec3 &other) const {
return vec3(v[0] - other.v[0], v[1] - other.v[1], v[2] - other.v[2]);
}
vec3 vec3::operator-() const {
return vec3(-v[0], -v[1], -v[2]);
}
const vec3 &vec3::operator*=(double scale) {
v[0] *= scale;
v[1] *= scale;
v[2] *= scale;
return *this;
}
const vec3 &vec3::operator/=(double scale) {
v[0] /= scale;
v[1] /= scale;
v[2] /= scale;
return *this;
}
const vec3 &vec3::operator+=(const vec3 &other) {
v[0] += other.v[0];
v[1] += other.v[1];
v[2] += other.v[2];
return *this;
}
const vec3 &vec3::operator-=(const vec3 &other) {
v[0] -= other.v[0];
v[1] -= other.v[1];
v[2] -= other.v[2];
return *this;
}
double vec3::magnitude() const {
return sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]);
}
double vec3::magnitudeSquared() const {
return v[0] * v[0] + v[1] * v[1] + v[2] * v[2];
}
vec3 vec3::normalize() const {
double m = sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]);
return vec3(v[0] / m, v[1] / m, v[2] / m);
}
double vec3::dot(const vec3 &other) const {
return v[0] * other.v[0] + v[1] * other.v[1] + v[2] * other.v[2];
}
vec3 vec3::cross(const vec3 &other) const {
return vec3(v[1] * other.v[2] - v[2] * other.v[1],
v[2] * other.v[0] - v[0] * other.v[2],
v[0] * other.v[1] - v[1] * other.v[0]);
}
std::ostream &operator<<(std::ostream &output, const vec3 &v) {
output << '(' << v[0] << ", " << v[1] << ", " << v[2] << ')';
return output;
}
|