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#!/usr/bin/env python
from __future__ import print_function
from sympy.galgebra import xdvi, Get_Program, Print_Function
from sympy.galgebra import MV, Format
def basic_multivector_operations_3D():
Print_Function()
(ex, ey, ez) = MV.setup('e*x|y|z')
print('g_{ij} =', MV.metric)
A = MV('A', 'mv')
A.Fmt(1, 'A')
A.Fmt(2, 'A')
A.Fmt(3, 'A')
A.even().Fmt(1, '%A_{+}')
A.odd().Fmt(1, '%A_{-}')
X = MV('X', 'vector')
Y = MV('Y', 'vector')
X.Fmt(1, 'X')
Y.Fmt(1, 'Y')
(X*Y).Fmt(2, 'X*Y')
(X ^ Y).Fmt(2, 'X^Y')
(X | Y).Fmt(2, 'X|Y')
return
def basic_multivector_operations_2D():
Print_Function()
(ex, ey) = MV.setup('e*x|y')
print('g_{ij} =', MV.metric)
X = MV('X', 'vector')
A = MV('A', 'spinor')
X.Fmt(1, 'X')
A.Fmt(1, 'A')
(X | A).Fmt(2, 'X|A')
(X < A).Fmt(2, 'X<A')
(A > X).Fmt(2, 'A>X')
return
def dummy():
return
def main():
Get_Program(True)
Format()
basic_multivector_operations_3D()
basic_multivector_operations_2D()
xdvi('simple_test_latex.tex')
return
if __name__ == "__main__":
main()
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