def main():
Get_Program(True)
Format()
basic_multivector_operations_3D()
basic_multivector_operations_2D()
# xpdf('simple_test_latex.tex')
xpdf('simple_check_latex.tex', pdfprog=None)
return
def main():
Get_Program(True)
Format()
basic_multivector_operations_3D()
basic_multivector_operations_2D()
# xpdf()
xpdf(pdfprog=None)
return
def main():
Get_Program()
Format()
Maxwells_Equations_in_Geometric_Calculus()
Dirac_Equation_in_Geometric_Calculus()
Lorentz_Tranformation_in_Geometric_Algebra()
# xpdf()
xpdf(pdfprog=None)
return
def main():
Get_Program()
Format()
#Maxwells_Equations_in_Geom_Calculus()
#Dirac_Equation_in_Geom_Calculus()
#Lorentz_Tranformation_in_Geog_Algebra()
General_Lorentz_Tranformation()
#Lie_Group()
# xpdf()
xpdf(pdfprog=None)
return
def main():
Get_Program(True)
enhance_print()
basic_multivector_operations()
check_generalized_BAC_CAB_formulas()
derivatives_in_rectangular_coordinates()
derivatives_in_spherical_coordinates()
rounding_numerical_components()
#noneuclidian_distance_calculation()
conformal_representations_of_circles_lines_spheres_and_planes()
properties_of_geometric_objects()
extracting_vectors_from_conformal_2_blade()
reciprocal_frame_test()
return
def main():
Get_Program()
Format()
basic_multivector_operations_3D()
basic_multivector_operations_2D()
basic_multivector_operations_2D_orthogonal()
check_generalized_BAC_CAB_formulas()
rounding_numerical_components()
derivatives_in_rectangular_coordinates()
derivatives_in_spherical_coordinates()
noneuclidian_distance_calculation()
conformal_representations_of_circles_lines_spheres_and_planes()
properties_of_geometric_objects()
extracting_vectors_from_conformal_2_blade()
reciprocal_frame_test()
signature_test()
Fmt_test()
# xpdf()
xpdf(pdfprog=None)
return
def main():
Get_Program()
Eprint()
Mv_setup_options()
return
def main():
Get_Program()
Eprint()
coefs_test()
return
def main():
Get_Program(True)
enhance_print()
MV_setup_options()
return
A = o3d.lt([[x*a*c**2,x**2*a*b*c,x**2*a**3*b**5],\
[x**3*a**2*b*c,x**4*a*b**2*c**5,5*x**4*a*b**2*c],\
[x**4*a*b**2*c**4,4*x**4*a*b**2*c**2,4*x**4*a**5*b**2*c]])
print('A =',A)
v = a*ea+b*eb+c*ec
print('v =',v)
f = v|A(v)
print(r'%f = v\cdot \f{A}{v} =',f)
(grad * f).Fmt(3,r'%\nabla f')
Av = A(v)
print(r'%\f{A}{v} =', Av)
(grad * Av).Fmt(3,r'%\nabla \f{A}{v}')
return
if __name__ == "__main__":
#Eprint()
Format()
Get_Program()
main()
# xpdf()
xpdf(pdfprog=None)
def test_deprecated_get_program():
with pytest.warns(DeprecationWarning):
# returns nothing and does very little
assert Get_Program() is None
print('B**2 =',B*B)
NB = B.norm()
print('NB =',NB)
Bh = B/NB
ap = ebar - ((ebar^Bh)*Bh)
a1 = ap + (ap*Bh)
a2 = ap - (ap*Bh)
#print '#a1 = ',a1
#print '#a2 = ',a2
return [a1,a2]
def norm(X):
Y=sqrt((X*X).scalar())
return Y
Get_Program(True)
Eprint()
g='1 0 0 0, \
0 1 0 0, \
0 0 0 2, \
0 0 2 0'
c2d = Ga('e_1 e_2 n \\bar{n}',g=g)
(e1,e2,n,nbar) = c2d.mv()
def F(x):
global n,nbar
Fx = ((x*x)*n+2*x-nbar) / 2
return(Fx)