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
|
#pragma once
#include "config/types.h"
#include "maths.h"
#include <glm/glm.hpp>
template<glm::length_t Dim, Arithmetic T, glm::qualifier Q = glm::defaultp>
struct Triangle : public glm::vec<3, glm::vec<Dim, T, Q>> {
using Point = glm::vec<Dim, T, Q>;
using Base = glm::vec<3, glm::vec<Dim, T, Q>>;
using Base::Base;
[[nodiscard]] constexpr Point
operator*(BaryPosition bari) const
{
return p(0) + (sideDifference(1) * bari.x) + (sideDifference(2) * bari.y);
}
[[nodiscard]] constexpr Point
centroid() const
{
return [this]<glm::length_t... Axis>(std::integer_sequence<glm::length_t, Axis...>) {
return Point {(p(0)[Axis] + p(1)[Axis] + p(2)[Axis]) / 3 ...};
}(std::make_integer_sequence<glm::length_t, Dim>());
}
[[nodiscard]] constexpr auto
area() const
requires(Dim == 3)
{
return glm::length(crossProduct(sideDifference(1), sideDifference(2))) / T {2};
}
[[nodiscard]] constexpr Normal3D
normal() const
requires(Dim == 3)
{
return crossProduct(sideDifference(1), sideDifference(2));
}
[[nodiscard]] constexpr Normal3D
nnormal() const
requires(Dim == 3)
{
return glm::normalize(normal());
}
[[nodiscard]] constexpr auto
sideDifference(glm::length_t side) const
{
return difference(p(side), p(0));
}
[[nodiscard]] constexpr auto
angle(glm::length_t corner) const
{
return Arc {P(corner), P(corner + 2), P(corner + 1)}.length();
}
template<glm::length_t D = Dim>
[[nodiscard]] constexpr auto
angleAt(const glm::vec<D, T, Q> pos) const
requires(D <= Dim)
{
for (glm::length_t i {}; i < 3; ++i) {
if (glm::vec<D, T, Q> {p(i)} == pos) {
return angle(i);
}
}
return 0.F;
}
[[nodiscard]] constexpr auto
p(const glm::length_t idx) const
{
return Base::operator[](idx);
}
[[nodiscard]] constexpr auto
P(const glm::length_t idx) const
{
return Base::operator[](idx % 3);
}
[[nodiscard]] constexpr Point *
begin()
{
return &(Base::x);
}
[[nodiscard]] constexpr const Point *
begin() const
{
return &(Base::x);
}
[[nodiscard]] constexpr Point *
end()
{
return begin() + 3;
}
[[nodiscard]] constexpr const Point *
end() const
{
return begin() + 3;
}
};
|
