Geometric Test Library

Solves 2D and 3D math problems, including, closest point, intersection, line of sight and reflection vector.

OVERVIEW

This project aims to teach 3D math. Everything can be found in the header file GeometricTestLibrary.h.
Since these tests are commonly used in video games, this repository includes the Unreal Engine 4 project GeometricTests.uproject. These tests are designed to be used with any C++ application or game engine, however. The project is released under the Apache 2.0 License.

Examples:

• 1. Closest Point in AABB
• 2. Closest Point on a Ray
• 3. Closest Point on a Plane
• 4. Closest Point on a Sphere
• 5. Intersection AABB-Plane
• 6. Intersection of Two Lines in 2D
• 7. Intersection Ray-AABB
• 8. Intersection Ray-Plane
• 9. Intersection Ray-Triangle
• 10. Intersection of Two Rays in 3D
• 11. Dynamic Intersection Sphere-Plane
• 12. Static Intersection Sphere-Plane
• 13. Dynamic Intersection of Two Spheres
• 14. Static Intersection of Two Spheres
• 15. Intersection of Three Planes
• 16. Intersection of Two AABBs
• 17. Reflection Vector
• 18. Barycentric Coordinates of Triangle in 3D

FILES AND FOLDERS

Files and Folders	Description
Config	UE4 project configuration files
Content	UE4 project files
Source	Project source
CHANGELOG	Log to track changes in respository
LICENSE	Apache 2.0 License
GeometricTests.uproject	UE4 project
README	This file

Config

Files	Description
DefaultEditor.ini	UE4 Config File
DefaultEngine.ini	UE4 Config File
DefaultGame.ini	UE4 Config File

Content/Maps

Files	Description
EmptyLevel.umap	UE4 Level

Source

Files and Folders	Description
GeometricTests	Geometric Tests Source
GeometricTests.Target.cs	UE4 Build System
GeometricTestsEditor.Target.cs	UE4 Build System

Source/GeometricTests

Files and Folders	Description
Math	Math Directory
Primitives	Geometric Primitives Directory
GeometricTestLibrary.h	Geometric Test Library
GeometricTest.Build.cs	UE4 Build System
GeometricTests.h	Header: Module implementation for UE4 Project
GeometricTests.cpp	Source: Module implementation for UE4 Project
GeometricTestsGameModeBase.h	Header: UE4 Game Mode Base
GeometricTestsGameModeBase.cpp	Source: UE4 Game Mode Base

Source/GeometricTests/Math/LinearAlgebra

Files	Description
Quaternion.h	Templated struct that handles quaternions
Vector.h	Templated struct that handles vector math

Source/GeometricTests/Math/Operations

Files	Description
MathOperations.h	Common math functions

Source/GeometricTests/Primitives

Files	Description
AABB.h	Axis-Aligned Bounding Box Data
Circle.h	Circle Data
Plane.h	Plane Data
Ray.h	Ray Data
Triangle.h	Triangle Data

LICENSE

Apache 2.0 License

Copyright (c) 2018-2019 Robert Slattery

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.