test(basis): add test_all_elements test

Test file included in test/basis/runtests.jl
2026-10-02 06:13:59 +00:00 · 2025-12-15 06:32:29 +02:00
parent 764047cce0
commit db3106547c
1 changed files with 107 additions and 0 deletions
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+# Comprehensive tests for all 14 basis families
+using Test
+using StaticArrays, Tensors
+
+include("../../src/topology/api.jl")
+include("../../src/topology/segments.jl")
+include("../../src/topology/triangles.jl")
+include("../../src/topology/quadrilaterals.jl")
+include("../../src/topology/tetrahedra.jl")
+include("../../src/topology/hexahedra.jl")
+include("../../src/topology/pyramids.jl")
+include("../../src/topology/wedges.jl")
+include("../../src/basis/api.jl")
+include("../../src/basis/basis_generated.jl")
+
+@testset "All Element Types - Partition of Unity" begin
+    # 1D elements
+    @testset "Seg2" begin
+        N = get_basis_functions(Seg2(), Lagrange{1}(), Vec{1}((0.0,)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 2
+    end
+
+    @testset "Seg3" begin
+        N = get_basis_functions(Seg3(), Lagrange{2}(), Vec{1}((0.5,)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 3
+    end
+
+    # 2D triangular elements
+    @testset "Tri3" begin
+        N = get_basis_functions(Tri3(), Lagrange{1}(), Vec{2}((0.3, 0.3)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 3
+    end
+
+    @testset "Tri6" begin
+        N = get_basis_functions(Tri6(), Lagrange{2}(), Vec{2}((0.4, 0.2)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 6
+    end
+
+    # 2D quadrilateral elements
+    @testset "Quad4" begin
+        N = get_basis_functions(Quad4(), Lagrange{1}(), Vec{2}((0.0, 0.0)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 4
+    end
+
+    @testset "Quad8" begin
+        N = get_basis_functions(Quad8(), Serendipity{2}(), Vec{2}((-0.5, 0.5)))
+        @test sum(N) ≈ 1.0 atol=1e-14
+        @test length(N) == 8
+    end
+
+    @testset "Quad9" begin
+        N = get_basis_functions(Quad9(), Lagrange{2}(), Vec{2}((0.0, 0.0)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 9
+    end
+
+    # 3D tetrahedral elements
+    @testset "Tet4" begin
+        N = get_basis_functions(Tet4(), Lagrange{1}(), Vec{3}((0.25, 0.25, 0.25)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 4
+    end
+
+    @testset "Tet10" begin
+        N = get_basis_functions(Tet10(), Lagrange{2}(), Vec{3}((0.2, 0.3, 0.1)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 10
+    end
+
+    # 3D hexahedral elements
+    @testset "Hex8" begin
+        N = get_basis_functions(Hex8(), Lagrange{1}(), Vec{3}((0.0, 0.0, 0.0)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 8
+    end
+
+    @testset "Hex20" begin
+        N = get_basis_functions(Hex20(), Serendipity{2}(), Vec{3}((0.5, -0.5, 0.0)))
+        @test sum(N) ≈ 1.0 atol=1e-14
+        @test length(N) == 20
+    end
+
+    @testset "Hex27" begin
+        N = get_basis_functions(Hex27(), Lagrange{2}(), Vec{3}((0.0, 0.0, 0.0)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 27
+    end
+
+    # 3D pyramid element
+    @testset "Pyr5" begin
+        N = get_basis_functions(Pyr5(), Lagrange{1}(), Vec{3}((0.0, 0.0, 0.2)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 5
+    end
+
+    # 3D wedge element
+    @testset "Wedge6" begin
+        N = get_basis_functions(Wedge6(), Lagrange{1}(), Vec{3}((0.2, 0.3, 0.0)))
+        @test sum(N) ≈ 1.0 atol = 1e-14
+        @test length(N) == 6
+    end
+end