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
|
#pragma once
#include <cmath>
#include <glm/glm.hpp>
#include <glm/gtc/constants.hpp>
#include <utility>
struct Arc : public std::pair<float, float> {
using std::pair<float, float>::pair;
Arc(const glm::vec3 & centre3, const glm::vec3 & e0p, const glm::vec3 & e1p);
float
operator[](unsigned int i) const
{
return i ? second : first;
}
};
constexpr const glm::vec3 origin {0, 0, 0};
constexpr const glm::vec3 up {0, 0, 1};
constexpr const glm::vec3 down {0, 0, -1};
constexpr const glm::vec3 north {0, 1, 0};
constexpr const glm::vec3 south {0, -1, 0};
constexpr const glm::vec3 east {1, 0, 0};
constexpr const glm::vec3 west {-1, 0, 0};
constexpr auto half_pi {glm::half_pi<float>()};
constexpr auto quarter_pi {half_pi / 2};
constexpr auto pi {glm::pi<float>()};
constexpr auto two_pi {glm::two_pi<float>()};
glm::mat4 flat_orientation(const glm::vec3 & diff);
// C++ wrapper for C's sincosf, but with references, not pointers
inline auto
sincosf(float a, float & s, float & c)
{
return sincosf(a, &s, &c);
}
inline glm::vec2
sincosf(float a)
{
glm::vec2 sc;
sincosf(a, sc.x, sc.y);
return sc;
}
glm::mat2 rotate_flat(float);
glm::mat4 rotate_roll(float);
glm::mat4 rotate_yaw(float);
glm::mat4 rotate_pitch(float);
glm::mat4 rotate_yp(glm::vec2);
glm::mat4 rotate_ypr(glm::vec3);
float vector_yaw(const glm::vec3 & diff);
float vector_pitch(const glm::vec3 & diff);
float round_frac(const float & v, const float & frac);
template<typename T>
inline constexpr auto
sq(T v)
{
return v * v;
}
template<typename R = float, typename Ta, typename Tb>
inline constexpr auto
rdiv(Ta a, Tb b)
{
return (static_cast<R>(a) / static_cast<R>(b));
}
constexpr inline glm::vec2
operator!(const glm::vec3 & v)
{
return {v.x, v.y};
}
constexpr inline glm::vec3
operator^(const glm::vec2 & v, float z)
{
return {v.x, v.y, z};
}
constexpr inline glm::vec4
operator^(const glm::vec3 & v, float w)
{
return {v.x, v.y, v.z, w};
}
constexpr inline glm::vec3
operator!(const glm::vec2 & v)
{
return v ^ 0.F;
}
template<glm::length_t L1, glm::length_t L2, typename T, glm::qualifier Q>
inline constexpr glm::vec<L1 + L2, T, Q>
operator||(const glm::vec<L1, T, Q> v1, const glm::vec<L2, T, Q> v2)
{
return {v1, v2};
}
template<glm::length_t L, typename T, glm::qualifier Q>
inline constexpr glm::vec<L + 1, T, Q>
operator||(const glm::vec<L, T, Q> v1, const T v2)
{
return {v1, v2};
}
constexpr inline float
arc_length(const Arc & arc)
{
return arc.second - arc.first;
}
float normalize(float ang);
std::pair<glm::vec2, bool> find_arc_centre(glm::vec2 start, float entrys, glm::vec2 end, float entrye);
std::pair<glm::vec2, bool> find_arc_centre(glm::vec2 start, glm::vec2 ad, glm::vec2 end, glm::vec2 bd);
std::pair<float, float> find_arcs_radius(glm::vec2 start, float entrys, glm::vec2 end, float entrye);
float find_arcs_radius(glm::vec2 start, glm::vec2 ad, glm::vec2 end, glm::vec2 bd);
// Conversions
template<typename T>
inline constexpr auto
mph_to_ms(T v)
{
return v / 2.237L;
}
template<typename T>
inline constexpr auto
kph_to_ms(T v)
{
return v / 3.6L;
}
// ... literals are handy for now, probably go away when we load stuff externally
float operator"" _mph(const long double v);
float operator"" _kph(const long double v);
|