76 lines
1.8 KiB
Python
76 lines
1.8 KiB
Python
#############################################
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# TEST
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load("aplK.py")
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print("TEST AlgebraAplK")
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"""
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S = SimplicialComplex([[0,1,2]],is_mutable=False)
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A = AlgebraAplK(S)
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print("Test check if the assignation is valid")
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s0 = SimplicialAlgebraplN(0)
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s0.inject_variables()
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p0 = s0(2)
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p1 = s0(1)
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p2 = s0(3)
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s1 = SimplicialAlgebraplN(1)
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s1.inject_variables()
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p01 = 2*t0+t1
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p02 = 2*t0+3*t1
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p12 = t0+3*t1
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s2 = SimplicialAlgebraplN(2)
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s2.inject_variables()
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p012 = 2-t1+t2
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#values = {(0,): p0, (1,): p1, (2,): p2, (0,1): p01, (0,2): p02, (1,2): p12, (0,1,2): p012}
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e1 = A._element_constructor_(values)
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"""
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S = SimplicialComplex([[0,1,2,3]],is_mutable=False)
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A = AlgebraAplK(S)
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s3 = SimplicialAlgebraplN(3)
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s3.inject_variables()
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p0123 = (t1**2)*y1+t3*y0+y2+t1*y2+t2*y1
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s2 = SimplicialAlgebraplN(2)
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s2.inject_variables()
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p012 = p0123.face(3)
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p013 = p0123.face(2)
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p023 = p0123.face(1)
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p123 = p0123.face(0)
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s1 = SimplicialAlgebraplN(1)
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s1.inject_variables()
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p01 = p012.face(2)
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p02 = p012.face(1)
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p03 = p013.face(1)
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p12 = p012.face(0)
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p13 = p013.face(0)
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p23 = p123.face(0)
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s0 = SimplicialAlgebraplN(0)
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s0.inject_variables()
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p0 = p01.face(1)
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p1 = p01.face(0)
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p2 = p12.face(0)
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p3 = p03.face(0)
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values = {(0,): p0, (1,): p1, (2,): p2, (3,):p3,
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(0,1): p01, (0,2): p02, (0,3): p03, (1,2): p12, (1,3): p13, (2,3): p23,
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(0,1,2): p012, (0,1,3):p013, (0,2,3): p023, (1,2,3):p123,
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(0,1,2,3):p0123}
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e1 = A._element_constructor_(values)
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de1 = e1.differential()
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"""
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for k in de1.elements.keys():
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e = de1.elements[k]
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print(k, e)
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if e:
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print(e.total_degree())
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"""
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e2 = de1.solve_primitive()
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print("de1: ",de1)
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print("e2: ",e2)
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if e1.differential() == e2.differential():
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print("the differentials of e1 and e2 are equal")
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else:
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print("the differentials are different")
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#############################################
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