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
|
#ifndef MATH_VECTOR_H
#define MATH_VECTOR_H
#include <cmath>
#include "math/quat.h"
namespace engine::math {
struct Vector2 {
float x, y;
constexpr bool operator==(const Vector2& other) const & {
return x == other.x && y == other.y;
}
constexpr bool operator!=(const Vector2& other) const & {
return !(*this == other);
}
constexpr Vector2 operator+() const & {
return *this;
}
constexpr Vector2 operator-() const & {
return { -x, -y };
}
constexpr Vector2 operator+(const Vector2& other) const & {
return { x + other.x, y + other.y };
}
constexpr Vector2 operator-(const Vector2& other) const & {
return *this + (-other);
}
constexpr Vector2 operator+=(const Vector2& other) & {
x += other.x;
y += other.y;
return *this;
}
constexpr float det(const Vector2& other) const & {
return this->x * other.y - other.x * this->y;
}
constexpr Vector2 round() const & {
return { std::round(x), std::round(y) };
}
constexpr Vector2 mul_term(const Vector2& other) const & {
return { x * other.x, y * other.y };
}
};
constexpr Vector2 operator*(float n, const Vector2& other) {
return { n * other.x, n * other.y };
}
constexpr Vector2 operator*(const Vector2& other, float n) {
return n * other;
}
constexpr Vector2 operator/(const Vector2& other, float n) {
return { other.x / n, other.y / n };
}
constexpr Vector2 operator+(const Vector2& other, float n) {
return { other.x + n, other.y + n };
}
constexpr Vector2 operator-(const Vector2& other, float n) {
return { other.x - n, other.y - n };
}
struct Vector3;
constexpr Vector3 operator*(float n, const Vector3& other);
constexpr Vector3 operator/(const Vector3& other, float n);
struct Vector3 {
static constexpr Vector3 bilerp(const Vector3& v1, const Vector3& v2, const Vector3& v3, float b0, float b1) {
return b0 * v1 + b1 * v2 + (1.f - b0 - b1) * v3;
}
float x, y, z;
constexpr bool operator==(const Vector3& other) const & {
return x == other.x && y == other.y && z == other.z;
}
constexpr bool operator!=(const Vector3& other) const & {
return !(*this == other);
}
constexpr Vector3 operator+() const & {
return *this;
}
constexpr Vector3 operator-() const & {
return { -x, -y, -z };
}
constexpr Vector3 operator+(const Vector3& other) const & {
return { x + other.x, y + other.y, z + other.z };
}
constexpr Vector3 operator-(const Vector3& other) const & {
return *this + (-other);
}
constexpr Vector3 operator+=(const Vector3& other) & {
x += other.x;
y += other.y;
z += other.z;
return *this;
}
constexpr Vector3 round() {
return { std::round(x), std::round(y), std::round(z) };
}
constexpr Vector3 cross(const Vector3& other) const & {
return {
y * other.z - z * other.y,
z * other.x - x * other.z,
x * other.y - y * other.x
};
}
constexpr Vector3 rot(const Quaternion& q) const & {
return {
(2.f * (q.w * q.w + q.x * q.x) - 1.f) * x + (2.f * (q.x * q.y - q.w * q.z) ) * y + (2.f * (q.x * q.z + q.w * q.y) ) * z,
(2.f * (q.x * q.y + q.w * q.z) ) * x + (2.f * (q.w * q.w + q.y * q.y) - 1.f) * y + (2.f * (q.y * q.z - q.w * q.x) ) * z,
(2.f * (q.x * q.z - q.w * q.y) ) * x + (2.f * (q.y * q.z + q.w * q.x) ) * y + (2.f * (q.w * q.w + q.z * q.z) - 1.f) * z,
};
}
constexpr float dot(const Vector3& other) const & {
return x * other.x + y * other.y + z * other.z;
}
constexpr float length_squared() const & {
return dot(*this);
}
constexpr float length() const & {
return std::sqrt(length_squared());
}
constexpr Vector3 normalize() const & {
return *this / length();
}
};
constexpr Vector3 operator*(float n, const Vector3& other) {
return { n * other.x, n * other.y, n * other.z };
}
constexpr Vector3 operator*(const Vector3& other, float n) {
return n * other;
}
constexpr Vector3 operator/(float n, const Vector3& other) {
return { n / other.x, n / other.y, n / other.z };
}
constexpr Vector3 operator/(const Vector3& other, float n) {
return { other.x / n, other.y / n, other.z / n };
}
struct Vector4 {
float x, y, z, w;
constexpr Vector4() {}
constexpr Vector4(float x, float y, float z, float w) : x{x}, y{y}, z{z}, w{w} {}
constexpr Vector4(float x, float y, float z) : x{x}, y{y}, z{z}, w{1.f} {}
constexpr Vector4(const Vector2& v, float z, float w) : x{v.x}, y{v.y}, z{z}, w{w} {}
constexpr Vector4(const Vector2& v, float z) : x{v.x}, y{v.y}, z{z}, w{1.f} {}
constexpr Vector4(const Vector3& v, float w) : x{v.x}, y{v.y}, z{v.z}, w{w} {}
constexpr Vector4(const Vector3& v) : x{v.x}, y{v.y}, z{v.z}, w{1.f} {}
constexpr bool operator==(const Vector4& other) const & {
return x == other.x && y == other.y && z == other.z && w == other.w;
}
constexpr bool operator!=(const Vector4& other) const & {
return !(*this == other);
}
constexpr Vector4 operator+() const & {
return *this;
}
constexpr Vector4 operator-() const & {
return { -x, -y, -z, -w };
}
constexpr Vector4 operator+(const Vector4& other) const & {
return { x + other.x, y + other.y, z + other.z, w + other.w };
}
constexpr Vector4 operator-(const Vector4& other) const & {
return *this + (-other);
}
constexpr Vector4 round() const & {
return { std::round(x), std::round(y), std::round(z), std::round(w) };
}
constexpr Vector2 xy() const & {
return { x, y };
}
constexpr Vector3 xyz() const & {
return { x, y, z };
}
constexpr Vector4 div_by_w() const & {
return {x / w, y / w, z / w, w};
}
};
constexpr Vector4 operator*(float n, const Vector4& other) {
return { n * other.x, n * other.y, n * other.z, n * other.w };
}
constexpr Vector4 operator*(const Vector4& other, float n) {
return n * other;
}
constexpr Vector4 operator/(const Vector4& other, float n) {
return { other.x / n, other.y / n, other.z / n, other.w / n };
}
}
#endif // MATH_VECTOR_H
|
