pyGameMath

Dependencies:

It uses six to allow support between python2.x and python3.x.

Install:

To install the library just do

pip install gem

It will install the dependicies automatically.

Documentation and Examples:

The examples on how to use the library and more info are maintained on the github wiki:

Wiki Link

Supported features:

NxN Matrices:

• Transpose
• Scale
• NxN Matrix Multiplication
• NxN Matrix * N Dimensions Vector Multiplication
• 4x4 Perspective Projection Matrix
• lookAt 4x4 Matrix
• Translation (3x3, 4x4)
• Rotation (2x2, 3x3, 4x4)
• Shear (2x2, 3x3, 4x4)
• Project
• Unproject
• Orthographic Projection
• Perspective Projection
• lookAt 4x4 matrix
• Determinant 2x2, 3x3, 4x4
• Inverse 2x2, 3x3, 4x4

N Dimensions Vectors:

• Dot Product
• Cross Product (3D, No 7D as of now)
• 2D get angle of vector
• 2D -90 degree rotation
• 2D +90 degree rotation
• Refraction
• Reflection
• Negate
• Normalize
• Linear Interpolation
• Max Vector/Scalar
• Min Vector/Scalar
• Clamp
• Transform
• Barycentric
• isInSameDirection test
• isInOppositeDirection test
• 3D Vector swizzling, similar to GLSL
• 3D Vector idenitities

Quaternions:

• Normalize
• Dot Product
• Rotation
• Conjugate
• Inverse
• Negate
• Rotate X, Y, Z
• Arbitary Axis Rotation
• From angle Rotation
• To Rotation Matrix (4x4)
• From Rotation Matrix (4x4)
• Cross Product
• Vector3D, Scalar Multiplication
• Logarithm
• Exponential
• Power
• Liner Interpolation (LERP)
• Spherical Interpolation (SLERP)
• Spherical Interpoliaton No Invert
• Quaternion Splines (SQUAD)

Plane:

• Define using
  • 3 Vectors
  • Point and Normal
  • Manual input
• Dot Product
• Normalize
• Best fit normal and D value
• Distance from plane to a point
• Point location
• Output
• Flip

Ray:

• Rotate using Matrix
• Rotate using Quaternions
• Translate
• Output

Legendre Polynomial (Experimental, not complete):

• For spherical harmonics
• (l - m)PML(x) = x(2l - 1)PML-1(x
• Irradiance maps