gem v0.1.8

Math library for game programming in python.

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 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