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coefficients_explicit_n5.py
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coefficients_explicit_n5.py
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def get_coefficients(u):
arguments = calc_conjugations(u)
yield sum(n5_c1(*arguments))
yield sum(n5_c2(*arguments))
yield sum(n5_c3(*arguments))
yield sum(n5_c4(*arguments))
yield sum(n5_c5(*arguments))
yield sum(n5_c6(*arguments))
yield sum(n5_c7_optimized(*arguments))
yield sum(n5_c8(*arguments))
def calc_conjugations(u):
u_data_type = str(type(u))
if u_data_type == "<class 'clifford._multivector.MultiVector'>":
cliff = (~u).gradeInvol()
grade = u.gradeInvol()
rever = ~u
trian = lambda v: v-2*(v(4)+v(5))
if len(u.grades())-1 != 5:
print(f'Warning! For element U, n={len(u.grades())-1}!=5')
elif u_data_type == "<class 'galgebra.mv.Mv'>":
cliff = (u - 2*u.odd()).rev()
grade = u - 2*u.odd()
rever = u.rev()
trian = lambda v: v-2*(v.get_grade(4)+v.get_grade(5))
if len(u.coords) != 5:
print(f'Warning! For element U, n={u.layout.dims}!=5')
else:
print('Warning! Element U is not of implemneted data type')
return u,cliff,grade,rever,trian
def n5_c1(u,c,g,r,d):
yield u
yield c
yield g
yield r
yield d(g)
yield d(r)
yield d(u)
yield d(c)
def n5_c2(u,c,g,r,d):
yield -u*c
yield -u*g
yield -u*r
yield -u*d(g)
yield -u*d(r)
yield -u*d(u)
yield -u*d(c)
yield -c*g
yield -c*r
yield -c*d(g)
yield -c*d(r)
yield -c*d(u)
yield -c*d(c)
yield -g*r
yield -g*d(g)
yield -g*d(r)
yield -g*d(u)
yield -g*d(c)
yield -r*d(g)
yield -r*d(r)
yield -r*d(u)
yield -r*d(c)
yield -d(g*r)
yield -d(g*u)
yield -d(g*c)
yield -d(r*u)
yield -d(r*c)
yield -d(u*c)
def n5_c3(u,c,g,r,d):
yield u*c*g
yield u*c*r
yield u*c*d(g)
yield u*c*d(r)
yield u*c*d(u)
yield u*c*d(c)
yield u*g*r
yield u*g*d(g)
yield u*g*d(r)
yield u*g*d(u)
yield u*g*d(c)
yield u*r*d(g)
yield u*r*d(r)
yield u*r*d(u)
yield u*r*d(c)
yield u*d(g*r)
yield u*d(g*u)
yield u*d(g*c)
yield u*d(r*u)
yield u*d(r*c)
yield u*d(u*c)
yield c*g*r
yield c*g*d(g)
yield c*g*d(r)
yield c*g*d(u)
yield c*g*d(c)
yield c*r*d(g)
yield c*r*d(r)
yield c*r*d(u)
yield c*r*d(c)
yield c*d(g*r)
yield c*d(g*u)
yield c*d(g*c)
yield c*d(r*u)
yield c*d(r*c)
yield c*d(u*c)
yield g*r*d(g)
yield g*r*d(r)
yield g*r*d(u)
yield g*r*d(c)
yield g*d(g*r)
yield g*d(g*u)
yield g*d(g*c)
yield g*d(r*u)
yield g*d(r*c)
yield g*d(u*c)
yield r*d(g*r)
yield r*d(g*u)
yield r*d(g*c)
yield r*d(r*u)
yield r*d(r*c)
yield r*d(u*c)
yield d(g*r*u)
yield d(g*r*c)
yield d(g*u*c)
yield d(r*u*c)
def n5_c4(u,c,g,r,d):
yield -u*c*g*r
yield -u*c*g*d(g)
yield -u*c*g*d(r)
yield -u*c*g*d(u)
yield -u*c*g*d(c)
yield -u*c*r*d(g)
yield -u*c*r*d(r)
yield -u*c*r*d(u)
yield -u*c*r*d(c)
yield -u*c*d(g*r)
yield -u*c*d(g*u)
yield -u*c*d(g*c)
yield -u*c*d(r*u)
yield -u*c*d(r*c)
yield -u*c*d(u*c)
yield -u*g*r*d(g)
yield -u*g*r*d(r)
yield -u*g*r*d(u)
yield -u*g*r*d(c)
yield -u*g*d(g*r)
yield -u*g*d(g*u)
yield -u*g*d(g*c)
yield -u*g*d(r*u)
yield -u*g*d(r*c)
yield -u*g*d(u*c)
yield -u*r*d(g*r)
yield -u*r*d(g*u)
yield -u*r*d(g*c)
yield -u*r*d(r*u)
yield -u*r*d(r*c)
yield -u*r*d(u*c)
yield -u*d(g*r*u)
yield -u*d(g*r*c)
yield -u*d(g*u*c)
yield -u*d(r*u*c)
yield -c*g*r*d(g)
yield -c*g*r*d(r)
yield -c*g*r*d(u)
yield -c*g*r*d(c)
yield -c*g*d(g*r)
yield -c*g*d(g*u)
yield -c*g*d(g*c)
yield -c*g*d(r*u)
yield -c*g*d(r*c)
yield -c*g*d(u*c)
yield -c*r*d(g*r)
yield -c*r*d(g*u)
yield -c*r*d(g*c)
yield -c*r*d(r*u)
yield -c*r*d(r*c)
yield -c*r*d(u*c)
yield -c*d(g*r*u)
yield -c*d(g*r*c)
yield -c*d(g*u*c)
yield -c*d(r*u*c)
yield -g*r*d(g*r)
yield -g*r*d(g*u)
yield -g*r*d(g*c)
yield -g*r*d(r*u)
yield -g*r*d(r*c)
yield -g*r*d(u*c)
yield -g*d(g*r*u)
yield -g*d(g*r*c)
yield -g*d(g*u*c)
yield -g*d(r*u*c)
yield -r*d(g*r*u)
yield -r*d(g*r*c)
yield -r*d(g*u*c)
yield -r*d(r*u*c)
yield -d(g*r*u*c)
def n5_c5(u,c,g,r,d):
yield u*c*g*r*d(g)
yield u*c*g*r*d(r)
yield u*c*g*r*d(u)
yield u*c*g*r*d(c)
yield u*c*g*d(g*r)
yield u*c*g*d(g*u)
yield u*c*g*d(g*c)
yield u*c*g*d(r*u)
yield u*c*g*d(r*c)
yield u*c*g*d(u*c)
yield u*c*r*d(g*r)
yield u*c*r*d(g*u)
yield u*c*r*d(g*c)
yield u*c*r*d(r*u)
yield u*c*r*d(r*c)
yield u*c*r*d(u*c)
yield u*c*d(g*r*u)
yield u*c*d(g*r*c)
yield u*c*d(g*u*c)
yield u*c*d(r*u*c)
yield u*g*r*d(g*r)
yield u*g*r*d(g*u)
yield u*g*r*d(g*c)
yield u*g*r*d(r*u)
yield u*g*r*d(r*c)
yield u*g*r*d(u*c)
yield u*g*d(g*r*u)
yield u*g*d(g*r*c)
yield u*g*d(g*u*c)
yield u*g*d(r*u*c)
yield u*r*d(g*r*u)
yield u*r*d(g*r*c)
yield u*r*d(g*u*c)
yield u*r*d(r*u*c)
yield u*d(g*r*u*c)
yield c*g*r*d(g*r)
yield c*g*r*d(g*u)
yield c*g*r*d(g*c)
yield c*g*r*d(r*u)
yield c*g*r*d(r*c)
yield c*g*r*d(u*c)
yield c*g*d(g*r*u)
yield c*g*d(g*r*c)
yield c*g*d(g*u*c)
yield c*g*d(r*u*c)
yield c*r*d(g*r*u)
yield c*r*d(g*r*c)
yield c*r*d(g*u*c)
yield c*r*d(r*u*c)
yield c*d(g*r*u*c)
yield g*r*d(g*r*u)
yield g*r*d(g*r*c)
yield g*r*d(g*u*c)
yield g*r*d(r*u*c)
yield g*d(g*r*u*c)
yield r*d(g*r*u*c)
def n5_c6(u,c,g,r,d):
yield -u*c*g*r*d(g*r)
yield -u*c*g*r*d(g*u)
yield -u*c*g*r*d(g*c)
yield -u*c*g*r*d(r*u)
yield -u*c*g*r*d(r*c)
yield -u*c*g*r*d(u*c)
yield -u*c*g*d(g*r*u)
yield -u*c*g*d(g*r*c)
yield -u*c*g*d(g*u*c)
yield -u*c*g*d(r*u*c)
yield -u*c*r*d(g*r*u)
yield -u*c*r*d(g*r*c)
yield -u*c*r*d(g*u*c)
yield -u*c*r*d(r*u*c)
yield -u*c*d(g*r*u*c)
yield -u*g*r*d(g*r*u)
yield -u*g*r*d(g*r*c)
yield -u*g*r*d(g*u*c)
yield -u*g*r*d(r*u*c)
yield -u*g*d(g*r*u*c)
yield -u*r*d(g*r*u*c)
yield -c*g*r*d(g*r*u)
yield -c*g*r*d(g*r*c)
yield -c*g*r*d(g*u*c)
yield -c*g*r*d(r*u*c)
yield -c*g*d(g*r*u*c)
yield -c*r*d(g*r*u*c)
yield -g*r*d(g*r*u*c)
def n5_c7(u,c,g,r,d):
yield u*c*g*r*d(g*r*u)
yield u*c*g*r*d(g*r*c)
yield u*c*g*r*d(g*u*c)
yield u*c*g*r*d(r*u*c)
yield u*c*g*d(g*r*u*c)
yield u*c*r*d(g*r*u*c)
yield u*g*r*d(g*r*u*c)
yield c*g*r*d(g*r*u*c)
def n5_c7_optimized(u,c,g,r,d):
a1, a2 = u*c, g*r
b1 = a1*a2
yield b1*d(a2*u)
yield b1*d(a2*c)
yield b1*d(g*a1)
yield b1*d(r*a1)
b2 = d(a2*a1)
yield a1*g*b2
yield a1*r*b2
yield u*a2*b2
yield c*a2*b2
def n5_c8(u,c,g,r,d):
yield -u*c*g*r*d(g*r*u*c)