Adds to a complex the face data and facet data (computed if not specified), i.e., C.fc, C.facets, C.dim, C.fvector, C.isEquidimensional, C.isSimp are updated.
This allows us to add the face data later to a complex generated previously by newEmptyComplex.
Note that the input C is modified by this method.
This function is mainly used internally, but may occasionally be useful to the user and is hence exported.
i1 : R=QQ[x_0..x_4] o1 = R o1 : PolynomialRing |
i2 : addCokerGrading(R)
o2 = | -1 -1 -1 -1 |
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 1 0 |
| 0 0 0 1 |
5 4
o2 : Matrix ZZ <--- ZZ
|
i3 : I=ideal(x_0*x_1,x_1*x_2,x_2*x_3,x_3*x_4,x_4*x_0)
o3 = ideal (x x , x x , x x , x x , x x )
0 1 1 2 2 3 3 4 0 4
o3 : Ideal of R
|
i4 : C=idealToComplex(I)
o4 = 1: x x x x x x x x x x
0 2 0 3 1 3 1 4 2 4
o4 : complex of dim 1 embedded in dim 4 (printing facets)
equidimensional, simplicial, F-vector {1, 5, 5, 0, 0, 0}, Euler = -1
|
i5 : Cl=newEmptyComplex(R)
o5 = empty complex
o5 : complex of dim -1 embedded in dim 4 (printing facets)
equidimensional, simplicial
|
i6 : addFaceDataToComplex(Cl,fc C)
o6 = 1: x x x x x x x x x x
0 2 0 3 1 3 1 4 2 4
o6 : complex of dim 1 embedded in dim 4 (printing facets)
equidimensional, simplicial, F-vector {1, 5, 5, 0, 0, 0}, Euler = -1
|
i7 : Cl==C o7 = true |
If both facelist and facetlist are specified this function does not make any consistency check.
The object addFaceDataToComplex is a method function.