math.hpp File Reference

Geometrical, mathematical functions and related structs used to answer some simple questions about shapes situated somewhere in the world. More...

#include <glm/glm.hpp>
#include "types.hpp"

Go to the source code of this file.

Namespaces
namespace	ToyMaker
	Namespace containing all class definitions and functions related to the ToyMaker engine.

Functions
std::pair< bool, glm::vec3 >	ToyMaker::computeIntersection (const Ray &ray, const Plane &plane)
	Returns a bool-vector pair, with bool indicating whether a point of intersection was found, and the vector containing the point of intersection.
std::pair< bool, glm::vec3 >	ToyMaker::computeIntersection (const Ray &ray, const AreaTriangle &triangle)
	Returns a bool-vector pair, with bool indicating whether a point of intersection was found, and the vector containing the point of intersection.
std::pair< uint8_t, std::pair< glm::vec3, glm::vec3 > >	ToyMaker::computeIntersections (const Ray &ray, const AxisAlignedBounds &axisAlignedBounds)
	Returns an unsigned int and vector-pair pair, with unsigned indicating whether any and how many points of intersection were found with the AABB, and the vector containing the points of intersection.
std::pair< uint8_t, std::pair< glm::vec3, glm::vec3 > >	ToyMaker::computeIntersections (const Ray &ray, const ObjectBounds &objectbounds)
	Returns an unsigned int and vector pair pair, with int indicating whether and how many points of intersection were found, and the vector containing the points of intersection.
bool	ToyMaker::overlaps (const glm::vec3 &point, const ObjectBounds &bounds)
	Returns a bool value indicating whether point is contained by bounds.
bool	ToyMaker::overlaps (const ObjectBounds &bounds, const glm::vec3 &point)
	Returns a bool value indicating whether point is contained by bounds.
bool	ToyMaker::overlaps (const Ray &ray, const ObjectBounds &bounds)
	Returns a bool value indicating whether the ray passes through the object volume.
bool	ToyMaker::overlaps (const ObjectBounds &bounds, const Ray &ray)
	Returns a bool value indicating whether the ray passes through the object volume.
bool	ToyMaker::overlaps (const glm::vec3 &point, const AxisAlignedBounds &bounds)
	Returns whether point is contained by bounds.
bool	ToyMaker::overlaps (const AxisAlignedBounds &bounds, const glm::vec3 &point)
	Returns whether point is contained by bounds.
bool	ToyMaker::overlaps (const Ray &ray, const AxisAlignedBounds &bounds)
	Returns whether ray overlaps with bounds.
bool	ToyMaker::overlaps (const AxisAlignedBounds &bounds, const Ray &ray)
	Returns whether ray overlaps with bounds.
bool	ToyMaker::overlaps (const AxisAlignedBounds &one, const AxisAlignedBounds &two)
	Returns whether one overlaps two.
bool	ToyMaker::overlaps (const ObjectBounds &one, const ObjectBounds &two)
	Returns whether one overlaps two.
bool	ToyMaker::overlaps (const AxisAlignedBounds &one, const ObjectBounds &two)
	Returns whether one overlaps two.
bool	ToyMaker::overlaps (const ObjectBounds &one, const AxisAlignedBounds &two)
	Returns whether one overlaps two.
template<typename T, typename U>
std::pair< bool, Simplex >	ToyMaker::gjkOverlaps (const T &one, const U &two)
	GJK implementation based on Casey Muratori's video lecture, which is available here.
template<typename T, typename U>
Polytope	ToyMaker::buildPolytope (const T &one, const U &two, const Simplex &gjkSimplex)
	EPA implementation, used to derive contact information for intersections between convex shapes.
template<typename T, typename U>
Collision	ToyMaker::checkCollision (const T &one, const U &two)
	Checks whether a pair of convex 3D shapes are colliding, returning information about the collision if they are.
bool	ToyMaker::contains (const glm::vec3 &point, const ObjectBounds &bounds)
	Returns whether point is contained by bounds.
bool	ToyMaker::contains (const glm::vec3 &point, const AxisAlignedBounds &bounds)
	Returns whether point is contained by bounds.
bool	ToyMaker::contains (const Ray &ray, const AxisAlignedBounds &bounds)
	Returns whether ray is contained by bounds.
bool	ToyMaker::contains (const Ray &ray, const ObjectBounds &bounds)
	Returns whether ray is contained by bounds.
bool	ToyMaker::contains (const AxisAlignedBounds &one, const AxisAlignedBounds &two)
	Returns whether one is contained by two.
bool	ToyMaker::contains (const ObjectBounds &one, const AxisAlignedBounds &two)
	Returns whether one is contained by two.
std::pair< glm::vec3, glm::vec3 >	ToyMaker::deriveTangents (const glm::vec3 &vector)
	Returns a pair of tangents to an input vector.
template<typename T, typename U>
glm::vec3	ToyMaker::minkowskiDifference (const T &one, const U &two, const glm::vec3 &along)
	Closely associated with GJK; finds the Minkowski difference between two shapes situated somewhere in the world.
template<typename T, typename U>
std::tuple< glm::vec3, glm::vec3, glm::vec3 >	ToyMaker::minkowskiDifferenceFull (const T &one, const U &two, const glm::vec3 &along)
	Closely associated with GJK; finds the Minkowski difference between two shapes situated somewhere in the world.

Variables
static constexpr uint8_t	ToyMaker::kMaxIterations { 64 }

Detailed Description

Geometrical, mathematical functions and related structs used to answer some simple questions about shapes situated somewhere in the world.

Author

Zoheb Shujauddin (zoheb.nosp@m.2424.nosp@m.@gmai.nosp@m.l.co.nosp@m.m)

Version

0.3.2

Date

2025-09-08