Clifford and Geometric Algebra with TensorFlow
Project description
TFGA - TensorFlow Geometric Algebra
Python package for Geometric / Clifford Algebra with TensorFlow 2.
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)
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