pygae/galgebra

from __future__ import division
from __future__ import print_function
from sympy import symbols, sin, cos, latex, Matrix
from galgebra.ga import Ga
from galgebra.printer import Format, xpdf

Format()
(x, y, z) = xyz = symbols('x,y,z', real=True)
(o3d, ex, ey, ez) = Ga.build('e_x e_y e_z', g=[1, 1, 1], coords=xyz)

A = o3d.lt('A')
print(r'\mbox{General Instantiation: }A =', A)
th = symbols('theta', real=True)
R = cos(th /  2) + (ex ^ ey) * sin(th /  2)
B = o3d.lt(R)
print(r'\mbox{Rotor: }R =', R)
print(r'\mbox{Rotor Instantiation: }B =', B)
dict1 = {ex: ey + ez, ez: ey + ez, ey: ex + ez}
C = o3d.lt(dict1)
print(r'\mbox{Dictionary} =', latex(dict1))
print(r'\mbox{Dictionary Instantiation: }C =', C)
lst1 = [[1, 0, 1], [0, 1, 0], [1, 0, 1]]
D = o3d.lt(lst1)
print(r'\mbox{List} =', latex(lst1))
print(r'\mbox{List Instantiation: }D =', D)
lst2 = [ey + ez, ex + ez, ex + ey]
E = o3d.lt(lst2)
print(r'\mbox{List} =', latex(lst2))
print(r'\mbox{List Instantiation: }E =', E)
xpdf(paper=(10, 12), crop=True)