pyGameMath 
This is a math library written in python for 2D/3D game development
which is also compatible with pypy. I made it while I was learning
more about the math used in graphics development and for personal use
in OpenGL related projects.
It’s still a work in progress.
Dependencies:
It uses six to allow support between python2.x and python3.x.
Install:
To install the library just do
pip install gemIt 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:
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