simple_euclidean3.py

# Copyright (C) Eduardo Vera Sousa and Leandro Augusto Frata Fernandes
# 
# authors    : Sousa, Eduardo V.
#              Fernandes, Leandro A. F.
# repository : https://github.com/Prograf-UFF/TbGAL
# 
# This file is part of the Tensor-based Geometric Algebra Library (TbGAL).
# 
# TbGAL is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
# 
# TbGAL is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
# 
# You should have received a copy of the GNU General Public License
# along with TbGAL. If not, see <https://www.gnu.org/licenses/>.

from tbgal.euclidean3 import *

a = vector(0.5, 0.0, 0.5)  # a = 0.5 * (e1 + e3)

M = 3.0 * (e1^e2)          # M = 3.0 * e1^e2
v = dual(M)                # v = 3.0 * e3

b = -v * a * inv(v)        # b = 0.5 * (e1 - e3)

print 'a =', a
print 'M =', M
print 'v =', v
print 'b =', b