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pyGameMath Build Status Code Health Codacy Badge

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 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