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#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 auto
area() const
requires(Dim == 2)
{
return std::abs((sideDifference(1).x * sideDifference(2).y) - (sideDifference(2).x * sideDifference(1).y)) / 2;
}
[[nodiscard]] constexpr Normal3D
normal() const
requires(Dim == 3)
{
return crossProduct(sideDifference(1), sideDifference(2));
}
[[nodiscard]] constexpr auto
height()
{
return (area() * 2) / ::distance(p(0), p(1));
}
[[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
calcSideDifference(glm::length_t side) const
{
return calcDifference(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
isUp() const
{
const auto edgeAB = sideDifference(1);
const auto edgeAC = sideDifference(2);
return edgeAB.x * edgeAC.y >= edgeAB.y * edgeAC.x;
}
[[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;
}
[[nodiscard]]
constexpr auto
positionOnPlane(const glm::vec<2, T, Q> coord2d) const
requires(Dim == 3)
{
const auto edgeCrossProduct = crossProduct(calcSideDifference(1), calcSideDifference(2));
return coord2d
|| static_cast<T>(
((edgeCrossProduct.x * p(0).x) + (edgeCrossProduct.y * p(0).y) + (edgeCrossProduct.z * p(0).z)
- (edgeCrossProduct.x * coord2d.x) - (edgeCrossProduct.y * coord2d.y))
/ edgeCrossProduct.z);
}
[[nodiscard]]
constexpr bool
containsPoint(const GlobalPosition2D coord) const
{
return pointLeftOfOrOnLine(coord, p(0), p(1)) && pointLeftOfOrOnLine(coord, p(1), p(2))
&& pointLeftOfOrOnLine(coord, p(2), p(0));
}
};
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