Clifford Save
Geometric Algebra for Python
Project README
clifford: Geometric Algebra for Python
clifford is a numerical Geometric Algebra (a.k.a. Clifford algebra) package for python.
- Documentation: http://clifford.readthedocs.org
- Source code: https://github.com/pygae/clifford
- Bug reports: https://github.com/pygae/clifford/issues
Geometric Algebra (GA) is a universal algebra which among several other independent mathematical systems, subsumes:
- Complex numbers
- Quaternions
- Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge
Install using pip:
pip3 install clifford
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
from clifford.g3 import * # import GA for 3D space
from math import e, pi
a = e1 + 2*e2 + 3*e3 # vector
R = e**(pi/4*e12) # rotor
R*a*~R # rotate the vector
Syntax Summary
| Syntax | Operation |
|---|---|
| | | Symmetric inner product |
| << | Left contraction |
| ^ | Outer product |
| * | Geometric product |
| X(i) | Return the section of the multivector X of grade i |
| X(ei) | Return the section of the multivector X for which ei is the pseudo scalar |
| X[i] | Return the i'th coefficient from the multivector X |
| X.normal() | Return the normalised multivector so that X*~X is +- 1 |
For installation instructions, api documention, and tutorials, head over to our documentation!
Citing This Library
For citation information, see our CITATION.md file.
Open Source Agenda is not affiliated with "Clifford" Project. README Source: pygae/clifford
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