tfga 0.1.5

Clifford and Geometric Algebra with TensorFlow

TFGA - TensorFlow Geometric Algebra

Python package for Geometric / Clifford Algebra with TensorFlow 2.

GitHub | Docs

Installation

Install using pip: pip install tfga

Requirements:

• Python 3
• tensorflow 2
• numpy

Basic usage

from tfga import GeometricAlgebra

ga = GeometricAlgebra(metric=[1, 1, 1])

# 1 e_0 + 1 e_1 + 1 e_2
ordinary_vector = ga.ones(batch_shape=[], kind="vector")

# 5 + 5 e_01 + 5 e_02 + 5 e_12
quaternion = ga.fill(batch_shape=[], fill_value=5.0, kind="even")

# 5 + 1 e_0 + 1 e_1 + 1 e_2 + 5 e_01 + 5 e_02 + 5 e_12
multivector = ordinary_vector + quaternion

# Inner product e_0 | 1 e_0 + 1 e_1 + 1 e_2 = 1
print(ga.basis_mvs[0] | ordinary_vector)

# Exterior product e_0 ^ e_1 = e_01
print(ga.basis_mvs[0] ^ ga.basis_mvs[1])

# Grade reversal ~(5 + 5 e_01 + 5 e_02 + 5 e_12)
# = 5 + 5 e_10 + 5 e_20 + 5 e_21
# = 5 - 5 e_01 - 5 e_02 - 5 e_12
print(~quaternion)

Notebooks

Generic examples

Quantum Electrodynamics using Geometric Algebra