capsule.h

 
#pragma once
 
#include "segment.h"
#include "shape_concepts.h"
#include <glm/ext/scalar_constants.hpp>
 
namespace ghassanpl::geometry
{
    template <std::floating_point T>
    struct tcapsule
    {
        tsegment<T> axis;
        T radius{};
 
        auto centroid() const { return axis.center(); }
 
        bool contains(glm::tvec2<T> pt) const
        {
            return axis.distance(pt) <= radius;
        }
 
        T edge_length() const
        {
            return axis.length() * 2 + glm::pi<T>() * 2 * radius;
        }
 
        glm::tvec2<T> edge_point_alpha(T t) const;
 
        T calculate_area() const { return axis.length() * 2 * radius + glm::pi<T>() * radius * radius; }
        glm::tvec2<T> edge_point(T t) const { return edge_point_alpha(t / edge_length()); }
        trec2<T> bounding_box() const { return axis.bounding_box().grown(radius); }
 
        glm::tvec2<T> closest_point_to(glm::tvec2<T> pt) const
        {
            throw "unimplemented";
        }
    };
 
    using capsule = tcapsule<float>;
 
    static_assert(area_shape<float, capsule>);
}