Resources

• Books
  • Foundations of Game Engine Development, Volume 1: Mathematics
  • Mathematics for 3D Game Programming and Computer Graphics, Third Edition

Leo Math Library

• LeoMath
  • Abs
  • Sqrt
  • Clamp a value between min and max values

Vectors

• Vector2 and Vector3
  • Basic vectors operations
  • Dot product of vectors
  • Magnitude of vector
  • Normalize vector (unit vector)
  • Distance between vectors
  • Direction between vectors
  • Angle between vectors (degrees and radians)
  • Projection and Rejection one vector onto another
• Vector2
  • Look at target position
  • Rotate vector
  • Translate vector
• Vector3
  • Cross product of vectors
  • Look at target position
  • Rotate vector
  • Translate vector
• Vector4
  • Basic vectors operations
  • Dot product of vectors
  • Magnitude of vector
  • Normalize vector (unit vector)

Matrices

• Matrice2, Matrice3 and Matrice4
  • Basic operations
  • Determinant of matrix
  • Transpose matrix
  • Check is diagonal
  • Check is symmetric
  • Check is skew-symmetric
• Matrice3
  • Inverse matrix
• Matrice4
  • Determinant of matrix
  • Inverse matrix

Geometry

• Plane
  • Linear interpolation
• Line
  • Linear interpolation
  • Reflect
  • Intersect at another line

Quaternion

• Inverse
• Normalize
• Look at target
• Linear interpolation
• Convert to Angle axis
• Angle between two rotations
• Spherical linear interpolation