#!/usr/bin/env python
# coding: utf-8

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from clifford.g3c import *


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# Metric
print(e1*e1)
print(e2*e2)
print(e3*e3)
print(e4*e4)
print(e5*e5)


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# Example
a = (2 + 5.7*e2)*(e1 + e3*e4)
b = 5*e2 - 3.5*e1
print(a)
print(b)

# Projection
print(a(2))

# Outer product
print(a^b)

# Inner product
print(a|b)

# Left contraction
print(a.lc(b))


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# Mapping points from euclidean to conformal 
b_up = up(5*e2 - 3.5*e1)
print(b_up)

# And back again
print( down(b_up) )


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