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