NRE-Math

NRE-Math is the mathematical module used in NearlyRealEngine
It regroup simple mathematical class and a generic implementation for international unit system.

Features

• Header-only

• Vector 2D, 3D, 4D :
  Vector regroup all methods to describe a cartesian 2D, 3D, 4D vector. 3D & 4D Vector represent 2D & 3D homogeneous Vector.
  All bases operations are supported : +, -, *, /, dot product (|), cross product (^), ==, !=, >, <, >=, <=
  Normalisation, distance computation, individual elements access (getter or [ ]).

• Point 2D, 3D, 4D :
  Simple aliases on Vector

• Matrix 3x3, 4x4 :
  Allow simple use to create transformation matrix.
  All bases operations are supported : +, -, *, /, ==, !=
  Possible transformations :
  * Translation
  * Rotation
  * Sheer
  * Scale
  * Squeeze
  * Perspective
  * Orthogonal
  Transformations can be apply by multiplying the matrix with a supported object :
  * Vector
  * Point
  * Plane
  * Segment
  * BezierCurve

• Segment 3D, 4D :
  Represent 2D & 3D homogeneous Segments

• BezierCurve 3D, 4D :
  Represent 2D & 3D homogeneous Bezier Curves

• Frustum :
  Represent a view frustum, used in collaboration with camera to set up a perspective camera

• Plane :
  Represent a 3D plane, it's use 3D homogeneous coordinates to allow simple transformations with a matrix

• Quaternion :
  Represent a simple quaternion, can be converted to a 4x4 matrix in order to represent a rotation matrix.

Architecture