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test(topology): add topological invariance test
Test file included in main test/runtests.jl Tests topological invariance properties
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# This file is a part of JuliaFEM.
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# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
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using JuliaFEM
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using Test
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@testset "Topological Invariance" begin
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# Linear and quadratic variants have same topology
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@testset "Segments" begin
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@test nvertices(Segment{2}()) == nvertices(Segment{3}())
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@test nedges(Segment{2}()) == nedges(Segment{3}())
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end
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@testset "Triangles" begin
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@test nvertices(Triangle{3}()) == nvertices(Triangle{6}()) == nvertices(Triangle{7}()) == nvertices(Triangle{10}())
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@test nedges(Triangle{3}()) == nedges(Triangle{6}()) == nedges(Triangle{7}()) == nedges(Triangle{10}())
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@test nfaces(Triangle{3}()) == nfaces(Triangle{6}()) == nfaces(Triangle{7}()) == nfaces(Triangle{10}())
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end
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@testset "Quadrilaterals" begin
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@test nvertices(Quadrilateral{4}()) == nvertices(Quadrilateral{8}()) == nvertices(Quadrilateral{9}())
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@test nedges(Quadrilateral{4}()) == nedges(Quadrilateral{8}()) == nedges(Quadrilateral{9}())
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@test nfaces(Quadrilateral{4}()) == nfaces(Quadrilateral{8}()) == nfaces(Quadrilateral{9}())
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end
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@testset "Tetrahedra" begin
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@test nvertices(Tetrahedron{4}()) == nvertices(Tetrahedron{10}())
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@test nedges(Tetrahedron{4}()) == nedges(Tetrahedron{10}())
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@test nfaces(Tetrahedron{4}()) == nfaces(Tetrahedron{10}())
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end
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@testset "Hexahedra" begin
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@test nvertices(Hexahedron{8}()) == nvertices(Hexahedron{20}()) == nvertices(Hexahedron{27}())
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@test nedges(Hexahedron{8}()) == nedges(Hexahedron{20}()) == nedges(Hexahedron{27}())
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@test nfaces(Hexahedron{8}()) == nfaces(Hexahedron{20}()) == nfaces(Hexahedron{27}())
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end
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@testset "Wedges" begin
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@test nvertices(Wedge{6}()) == nvertices(Wedge{15}())
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@test nedges(Wedge{6}()) == nedges(Wedge{15}())
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@test nfaces(Wedge{6}()) == nfaces(Wedge{15}())
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end
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end
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