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Update test_aplK.py

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calquezar 2024-08-18 13:09:34 +02:00
parent e74e9e805c
commit af473e56bc
1 changed files with 29 additions and 144 deletions
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test_aplK.py
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@ -1,9 +1,12 @@
from sage.all import *
import cProfile, pstats
import itertools
load('aplK.py')
############################################# #############################################
# TEST # TEST
load("aplK.py") def test():
print("TEST AlgebraAplK") print("TEST AlgebraAplK")
"""
S = SimplicialComplex([[0,1,2]],is_mutable=False) S = SimplicialComplex([[0,1,2]],is_mutable=False)
A = AlgebraAplK(S) A = AlgebraAplK(S)
print("Test check if the assignation is valid") print("Test check if the assignation is valid")
@ -20,128 +23,10 @@ p12 = t0+3*t1
s2 = SimplicialAlgebraplN(2) s2 = SimplicialAlgebraplN(2)
s2.inject_variables() s2.inject_variables()
p012 = 2-t1+t2 p012 = 2-t1+t2
#values = {(0,): p0, (1,): p1, (2,): p2, (0,1): p01, (0,2): p02, (1,2): p12, (0,1,2): p012} 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) e1 = A._element_constructor_(values)
""" print(e1)
######################################################################
"""
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()
"""
#####################################################################
"""
S = SimplicialComplex([[0,1,2],[0,2,3]],is_mutable=False)
A = AlgebraAplK(S)
s2 = SimplicialAlgebraplN(2)
s2.inject_variables()
p012 = t0*y2+t2*y0
p023 = t0*y1+t1*y0
s1 = SimplicialAlgebraplN(1)
s1.inject_variables()
p01 = p012.face(2)
p02 = p012.face(1)
p03 = p023.face(1)
p12 = p012.face(0)
p23 = p023.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, (2,3): p23,
(0,1,2): p012, (0,2,3): p023}
e1 = A._element_constructor_(values)
de1 = e1.differential()
"""
#####################################################################
S = SimplicialComplex([[0,1,2,3],[0,2,3,4]],is_mutable=False)
A = AlgebraAplK(S)
s3.inject_variables()
p0123 = (t1**2)*y1+t3*y0+y2+t1*y2+t2*y1
p0234 = (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)
p024 = p0234.face(2)
p034 = p0234.face(1)
p234 = p0234.face(0)
s1 = SimplicialAlgebraplN(1)
s1.inject_variables()
p01 = p012.face(2)
p02 = p012.face(1)
p03 = p013.face(1)
p04 = p024.face(1)
p12 = p012.face(0)
p13 = p013.face(0)
p23 = p123.face(0)
p24 = p024.face(2)
p34 = p034.face(0)
s0 = SimplicialAlgebraplN(0)
s0.inject_variables()
p0 = p01.face(1)
p1 = p01.face(0)
p2 = p12.face(0)
p3 = p03.face(0)
p4 = p04.face(0)
values = {(0,): p0, (1,): p1, (2,): p2, (3,):p3, (4,):p4,
(0,1): p01, (0,2): p02, (0,3): p03, (0,4): p04, (1,2): p12, (1,3):p13, (2,3): p23,
(0,1,2): p012, (0,2,3): p023}
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 = e1.solve_primitive()
print("de1: ",de1)
print("e2: ",e2)
print("e1: ",e1)
if e1 == e2.differential():
print("the differential of e2 is EQUAL to e1")
else:
print("the differential of e1 is NOT EQUAL to e1")
############################################# #############################################
cProfile.runctx("test()", globals(), locals(), "Profile.prof")
s = pstats.Stats("Profile.prof")
s.strip_dirs().sort_stats("cumtime").print_stats()