#############################################
# TEST
load("aplK.py")
print("TEST AlgebraAplK")

"""
S = SimplicialComplex([[0,1,2]],is_mutable=False)
A = AlgebraAplK(S)
print("Test check if the assignation is valid")
s0 = SimplicialAlgebraplN(0)
s0.inject_variables()
p0 = s0(2)
p1 = s0(1)
p2 = s0(3)
s1 = SimplicialAlgebraplN(1)
s1.inject_variables()
p01 = 2*t0+t1
p02 = 2*t0+3*t1
p12 = t0+3*t1
s2 = SimplicialAlgebraplN(2)
s2.inject_variables()
p012 = 2-t1+t2
#values = {(0,): p0, (1,): p1, (2,): p2, (0,1): p01, (0,2): p02, (1,2): p12,  (0,1,2): p012}
e1 = A._element_constructor_(values)
"""
S = SimplicialComplex([[0,1,2,3]],is_mutable=False)
A = AlgebraAplK(S)
s3 = SimplicialAlgebraplN(3)
s3.inject_variables()
p0123 = (t1**2)*y1+t3*y0+y2+t1*y2+t2*y1
s2 = SimplicialAlgebraplN(2)
s2.inject_variables()
p012 = p0123.face(3)
p013 = p0123.face(2)
p023 = p0123.face(1)
p123 = p0123.face(0)
s1 = SimplicialAlgebraplN(1)
s1.inject_variables()
p01 = p012.face(2)
p02 = p012.face(1)
p03 = p013.face(1)
p12 = p012.face(0)
p13 = p013.face(0)
p23 = p123.face(0)
s0 = SimplicialAlgebraplN(0)
s0.inject_variables()
p0 = p01.face(1)
p1 = p01.face(0)
p2 = p12.face(0)
p3 = p03.face(0)

values = {(0,): p0, (1,): p1, (2,): p2, (3,):p3,
          (0,1): p01, (0,2): p02, (0,3): p03, (1,2): p12,  (1,3): p13, (2,3): p23,
          (0,1,2): p012, (0,1,3):p013, (0,2,3): p023, (1,2,3):p123,
          (0,1,2,3):p0123}
e1 = A._element_constructor_(values)
de1 = e1.differential()

"""
for k in de1.elements.keys():
    e = de1.elements[k]
    print(k, e)
    if e:
        print(e.total_degree())
"""
e2 = de1.solve_primitive()
print("de1: ",de1)
print("e2: ",e2)

if e1.differential() == e2.differential():
    print("the differentials of e1 and e2 are equal")
else:
    print("the differentials are different")

#############################################