# This file is a part of JuliaFEM. # License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md using Test using JuliaFEM @testset "New API: Element Construction with Topology + Basis" begin @testset "2D Triangle Elements" begin # Linear triangle (P1, 3 nodes) topology = Triangle() basis = Lagrange{Triangle,1}() @test dim(topology) == 2 @test nnodes(basis) == 3 # Element construction (new way) element = Element(basis, (UInt(1), UInt(2), UInt(3))) @test element.connectivity == (UInt(1), UInt(2), UInt(3)) @test element.basis == basis # Quadratic triangle (P2, 6 nodes) basis_p2 = Lagrange{Triangle,2}() @test nnodes(basis_p2) == 6 element_p2 = Element(basis_p2, (UInt(1), UInt(2), UInt(3), UInt(4), UInt(5), UInt(6))) @test length(element_p2.connectivity) == 6 end @testset "3D Tetrahedral Elements" begin # Linear tetrahedron (P1, 4 nodes) topology = Tetrahedron() basis = Lagrange{Tetrahedron,1}() @test dim(topology) == 3 @test nnodes(basis) == 4 # Element construction conn = (UInt(1), UInt(2), UInt(3), UInt(4)) element = Element(basis, conn) @test element.connectivity == conn @test element.basis == basis # Quadratic tetrahedron (P2, 10 nodes) basis_p2 = Lagrange{Tetrahedron,2}() @test nnodes(basis_p2) == 10 conn_p2 = tuple(UInt.(1:10)...) element_p2 = Element(basis_p2, conn_p2) @test length(element_p2.connectivity) == 10 end @testset "2D Quadrilateral Elements" begin # Linear quad (Q1, 4 nodes) topology = Quadrilateral() basis = Lagrange{Quadrilateral,1}() @test dim(topology) == 2 @test nnodes(basis) == 4 conn = (UInt(1), UInt(2), UInt(3), UInt(4)) element = Element(basis, conn) @test element.connectivity == conn @test element.basis == basis # Quadratic quad (Q2, 9 nodes) basis_p2 = Lagrange{Quadrilateral,2}() @test nnodes(basis_p2) == 9 conn_p2 = tuple(UInt.(1:9)...) element_p2 = Element(basis_p2, conn_p2) @test length(element_p2.connectivity) == 9 end @testset "3D Hexahedral Elements" begin # Linear hex (Q1, 8 nodes) topology = Hexahedron() basis = Lagrange{Hexahedron,1}() @test dim(topology) == 3 @test nnodes(basis) == 8 conn = tuple(UInt.(1:8)...) element = Element(basis, conn) @test element.connectivity == conn @test element.basis == basis # Quadratic hex (Q2, 27 nodes) basis_p2 = Lagrange{Hexahedron,2}() @test nnodes(basis_p2) == 27 conn_p2 = tuple(UInt.(1:27)...) element_p2 = Element(basis_p2, conn_p2) @test length(element_p2.connectivity) == 27 end @testset "Backward Compatibility Aliases" begin # Old aliases still work (deprecated but functional) # Tet4 is alias for Tetrahedron @test Tetrahedron() isa Tetrahedron @test Tet4() isa Tetrahedron @test Tet4 === Tetrahedron # Tri3 is alias for Triangle @test Triangle() isa Triangle @test Tri3() isa Triangle @test Tri3 === Triangle # Quad4 is alias for Quadrilateral @test Quadrilateral() isa Quadrilateral @test Quad4() isa Quadrilateral @test Quad4 === Quadrilateral # Hex8 is alias for Hexahedron @test Hexahedron() isa Hexahedron @test Hex8() isa Hexahedron @test Hex8 === Hexahedron end @testset "Topology Properties Independent of Basis" begin # Topology describes geometry only topology = Tetrahedron() # Geometric properties don't depend on basis @test dim(topology) == 3 ref_coords = reference_coordinates(topology) @test length(ref_coords) == 4 # 4 corner nodes @test ref_coords[1] == (0.0, 0.0, 0.0) @test ref_coords[2] == (1.0, 0.0, 0.0) @test ref_coords[3] == (0.0, 1.0, 0.0) @test ref_coords[4] == (0.0, 0.0, 1.0) # Edges (6 for tetrahedron) edge_list = edges(topology) @test length(edge_list) == 6 # Faces (4 triangular faces) face_list = faces(topology) @test length(face_list) == 4 # These are SAME regardless of basis degree! basis_p1 = Lagrange{Tetrahedron,1}() basis_p2 = Lagrange{Tetrahedron,2}() @test nnodes(basis_p1) == 4 # Different node counts @test nnodes(basis_p2) == 10 # But topology properties are identical @test dim(topology) == 3 # Same for both @test length(edges(topology)) == 6 # Same @test length(faces(topology)) == 4 # Same end @testset "Element with Fields (Type-Stable)" begin # New API: Type-stable fields using NamedTuple basis = Lagrange{Triangle,1}() conn = (UInt(1), UInt(2), UInt(3)) # Material properties as NamedTuple (type-stable!) fields = (E=210e9, ν=0.3, thickness=0.01) element = Element(UInt(42), conn, (), fields, basis) @test element.fields.E == 210e9 @test element.fields.ν == 0.3 @test element.fields.thickness == 0.01 @test element.id == UInt(42) # Type is known at compile time @test typeof(element.fields) <: NamedTuple @test fieldnames(typeof(element.fields)) == (:E, :ν, :thickness) end @testset "Integration Points with New API" begin # Integration points are element property topology = Triangle() basis = Lagrange{Triangle,1}() scheme = Gauss{2}() # Get integration points for this topology ips = integration_points(scheme, topology) @test length(ips) > 0 @test all(ip -> ip isa IntegrationPoint, ips) # Create element with integration points conn = (UInt(1), UInt(2), UInt(3)) element = Element(UInt(1), conn, ips, (), basis) @test length(element.integration_points) == length(ips) @test element.integration_points == ips end end @testset "New API: Separation of Concerns" begin @testset "Topology = Geometry Only" begin # Topology describes ONLY the reference element shape topo_tet = Tetrahedron() topo_tri = Triangle() topo_quad = Quadrilateral() topo_hex = Hexahedron() # These have NO information about: # - Number of nodes (depends on basis degree) # - Shape functions (comes from basis) # - Integration points (comes from integration scheme) # - Material properties (comes from fields) # - Physical coordinates (comes from mesh) @test topo_tet isa AbstractTopology @test topo_tri isa AbstractTopology @test topo_quad isa AbstractTopology @test topo_hex isa AbstractTopology end @testset "Basis = Interpolation Scheme" begin # Basis describes HOW to interpolate fields # Linear bases (P1) basis_tri_p1 = Lagrange{Triangle,1}() basis_tet_p1 = Lagrange{Tetrahedron,1}() # Quadratic bases (P2) basis_tri_p2 = Lagrange{Triangle,2}() basis_tet_p2 = Lagrange{Tetrahedron,2}() # Node count determined by basis + topology @test nnodes(basis_tri_p1) == 3 @test nnodes(basis_tri_p2) == 6 @test nnodes(basis_tet_p1) == 4 @test nnodes(basis_tet_p2) == 10 # All are basis functions @test basis_tri_p1 isa AbstractBasis @test basis_tet_p2 isa AbstractBasis end @testset "Integration = Quadrature Rule" begin # Integration scheme is independent choice scheme_1pt = Gauss{1}() scheme_2pt = Gauss{2}() scheme_3pt = Gauss{3}() @test scheme_1pt isa AbstractIntegration @test scheme_2pt isa AbstractIntegration @test scheme_3pt isa AbstractIntegration # Same topology, different integration rules topo = Triangle() ips_1 = integration_points(scheme_1pt, topo) ips_2 = integration_points(scheme_2pt, topo) ips_3 = integration_points(scheme_3pt, topo) # Different number of integration points @test length(ips_1) < length(ips_2) < length(ips_3) end @testset "Element = Topology + Basis + Integration + Fields" begin # Element combines all pieces topology = Triangle() # Geometry basis = Lagrange{Triangle,1}() # Interpolation (3 nodes) scheme = Gauss{2}() # Integration rule conn = (UInt(1), UInt(2), UInt(3)) # Node IDs fields = (E=210e9, ν=0.3) # Material properties ips = integration_points(scheme, topology) element = Element(UInt(1), conn, ips, fields, basis) # Element has all information needed for FEM @test element.connectivity == conn @test element.integration_points == ips @test element.fields == fields @test element.basis == basis # Can query properties @test nnodes(element.basis) == 3 @test length(element.integration_points) > 0 @test element.fields.E == 210e9 end end @testset "New API: Type Stability Benefits" begin @testset "Compile-Time Known Sizes" begin # All sizes known at compile time for optimization basis = Lagrange{Tetrahedron,1}() conn = (UInt(1), UInt(2), UInt(3), UInt(4)) fields = (E=210e3, ν=0.3) element = Element(UInt(1), conn, (), fields, basis) # Type parameters encode sizes @test element isa Element{4,0,typeof(fields),typeof(basis)} # Connectivity is NTuple (stack-allocated, zero-cost) @test element.connectivity isa NTuple{4,UInt} # Fields are NamedTuple (type-stable, fast access) @test element.fields isa NamedTuple # Compiler knows exact types → can optimize aggressively E_val = element.fields.E @test E_val isa Float64 # Exact type known end @testset "No Allocations in Hot Paths" begin # Test that element access doesn't allocate basis = Lagrange{Triangle,1}() conn = (UInt(1), UInt(2), UInt(3)) fields = (E=210e3, ν=0.3, ρ=7850.0) element = Element(UInt(1), conn, (), fields, basis) # Access should not allocate allocs = @allocated begin _ = element.connectivity _ = element.fields.E _ = element.fields.ν _ = element.basis end @test allocs == 0 # Zero allocations! end end println("✅ All New API element construction tests passed!") println("\nKey Takeaways:") println(" • Topology = Geometry (Tetrahedron, Triangle, etc.)") println(" • Basis = Interpolation (Lagrange{Topology, Degree})") println(" • Element = Topology + Basis + Integration + Fields") println(" • Old names (Tet4, Tri3) are aliases for backward compatibility") println(" • Node count comes from BASIS, not topology!")