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test(topology): add comprehensive topology and integration test
New 474-line comprehensive test file for topology and integration: - Tests all 17 topology types using full JuliaFEM module - Tests reference coordinates, edge/face connectivity - Tests Gauss quadrature integration for all topologies - Validates integration weights sum to reference element volumes - Tests higher-order elements use same quadrature rules - Validates zero-allocation design (NTuple returns) - Tests API completeness (all types exported) Complements test_topology.jl (standalone) by testing integrated system. This is the ACID TEST - validates real usage pattern with 'using JuliaFEM'.
This commit is contained in:
Jukka Aho
@@ -0,0 +1,474 @@
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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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"""
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# Comprehensive Topology and Integration Test Suite (test/topology/)
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## What
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Complete test coverage for all 17 topology types and Gauss quadrature integration
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using the FULL JuliaFEM module. This complements test_topology.jl (standalone) by
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testing the integrated system.
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## Why
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While test_topology.jl validates modules in isolation (avoiding name conflicts),
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THIS test validates that topology and integration work correctly when loaded through
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`using JuliaFEM`. This is the REAL usage pattern and must pass before we can claim
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the integration is complete.
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Tests validate:
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- **All 17 topologies**: Seg2/3, Tri3/6/7, Quad4/8/9, Tet4/10, Hex8/20/27, Pyr5, Wedge6/15
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- **Reference coordinates**: Correct parametric domain for each topology
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- **Connectivity**: edges() and faces() return correct NTuple structures
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- **Integration rules**: Gauss{1}, Gauss{2}, Gauss{3} for all applicable topologies
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- **Weight sums**: Quadrature weights sum to reference element volume/area
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- **Type stability**: All returns are NTuple (zero-allocation)
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## How
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**Topology Tests** (1D → 2D → 3D progression):
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**1D Segments:**
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- Seg2: 2 nodes, linear, domain [-1,1]
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- Seg3: 3 nodes, quadratic, with midpoint node
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**2D Triangles:**
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- Tri3: 3 nodes, linear, natural coordinates [0,1]
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- Tri6: 6 nodes, quadratic, 3 edge midpoints
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- Tri7: 7 nodes, cubic, with center node
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**2D Quadrilaterals:**
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- Quad4: 4 nodes, bilinear, domain [-1,1]²
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- Quad8: 8 nodes, serendipity, edge midpoints only
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- Quad9: 9 nodes, biquadratic, with center node
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**3D Tetrahedra:**
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- Tet4: 4 nodes, linear
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- Tet10: 10 nodes, quadratic, 6 edge midpoints
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**3D Hexahedra:**
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- Hex8: 8 nodes, trilinear, domain [-1,1]³
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- Hex20: 20 nodes, serendipity, edge midpoints only
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- Hex27: 27 nodes, triquadratic, with face and volume nodes
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**3D Other:**
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- Pyr5: 5 nodes, pyramid with quad base
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- Wedge6/15: 6 or 15 nodes, triangular prism
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**Integration Tests:**
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- IntegrationPoint{N} structure validation
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- Gauss quadrature rules for each topology:
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- Seg2: 1, 2, 3-point rules
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- Tri3: 1, 3, 6-point rules (weights sum to 0.5)
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- Quad4: 1, 4, 9-point tensor product rules (weights sum to 4.0)
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- Tet4: 1, 4, 5-point rules
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- Hex8: 1, 8, 27-point tensor product rules (weights sum to 8.0)
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- Wedge6: Combined triangle × line quadrature
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- Pyr5: Specialized pyramid quadrature
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## Expected Results
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- ✅ All 17 topologies instantiate with correct node counts
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- ✅ Reference coordinates lie in correct parametric domains
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- ✅ Edge/face connectivity returns proper NTuple structures
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- ✅ Integration points returned as Tuple{IntegrationPoint{N},...}
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- ✅ Quadrature weights sum correctly:
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- Seg2: 2.0 (length of [-1,1])
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- Tri3: 0.5 (area of reference triangle)
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- Quad4: 4.0 (area of [-1,1]²)
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- Tet4: 1/6 (volume of reference tetrahedron)
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- Hex8: 8.0 (volume of [-1,1]³)
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- ✅ Higher-order Gauss rules provide more integration points
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- ✅ All types are concrete (type-stable, allocation-free)
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## Test Strategy
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**Full integration test** using `using JuliaFEM`. This is the ACID TEST - if this
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passes, the topology/integration modules are correctly integrated into JuliaFEM.
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Contrast with test_topology.jl:
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- **test_topology.jl**: Standalone, avoids conflicts, validates module isolation
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- **test_integration.jl** (this file): Full integration, validates real usage
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Both must pass for complete validation!
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## Coverage
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- 17 topology types × (nnodes, dim, reference_coordinates, edges, faces) = 85 topology checks
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- 8 element types × 3 Gauss orders ≈ 24 integration checks
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- Weight sum validation for each integration rule
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- Type stability checks for all returns
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This is the MOST COMPREHENSIVE test of the new topology/integration infrastructure!
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"""
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using Test
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using JuliaFEM
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@testset "Topology and Integration: Complete test suite" begin
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# ========================================================================
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# TOPOLOGY: 1D SEGMENTS
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# ========================================================================
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@testset "Seg2 topology" begin
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topo = Seg2()
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@test nnodes(topo) == 2
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@test dim(topo) == 1
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coords = reference_coordinates(topo)
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@test coords isa NTuple{2,NTuple{1,Float64}}
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@test coords[1] == (-1.0,)
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@test coords[2] == (1.0,)
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e = edges(topo)
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@test e isa NTuple{1,Tuple{Int,Int}}
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@test e[1] == (1, 2)
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@test faces(topo) == ()
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end
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@testset "Seg3 topology" begin
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topo = Seg3()
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@test nnodes(topo) == 3
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@test dim(topo) == 1
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coords = reference_coordinates(topo)
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@test coords[1] == (-1.0,)
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@test coords[2] == (1.0,)
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@test coords[3] == (0.0,)
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end
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# ========================================================================
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# TOPOLOGY: 2D TRIANGLES
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# ========================================================================
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@testset "Tri3 topology" begin
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topo = Tri3()
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@test nnodes(topo) == 3
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@test dim(topo) == 2
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coords = reference_coordinates(topo)
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@test coords isa NTuple{3,NTuple{2,Float64}}
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@test coords[1] == (0.0, 0.0)
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@test coords[2] == (1.0, 0.0)
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@test coords[3] == (0.0, 1.0)
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e = edges(topo)
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@test e isa NTuple{3,Tuple{Int,Int}}
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@test length(e) == 3
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f = faces(topo)
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@test f isa NTuple{1,NTuple{3,Int}}
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@test f[1] == (1, 2, 3)
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end
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@testset "Tri6 topology" begin
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topo = Tri6()
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@test nnodes(topo) == 6
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@test dim(topo) == 2
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coords = reference_coordinates(topo)
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@test coords[4] == (0.5, 0.0) # Edge node
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@test coords[5] == (0.5, 0.5) # Edge node
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@test coords[6] == (0.0, 0.5) # Edge node
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end
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@testset "Tri7 topology" begin
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topo = Tri7()
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@test nnodes(topo) == 7
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@test coords = reference_coordinates(topo)
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@test coords[7] ≈ (1 / 3, 1 / 3) # Center node
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end
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# ========================================================================
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# TOPOLOGY: 2D QUADRILATERALS
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# ========================================================================
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@testset "Quad4 topology" begin
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topo = Quad4()
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@test nnodes(topo) == 4
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@test dim(topo) == 2
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coords = reference_coordinates(topo)
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@test coords isa NTuple{4,NTuple{2,Float64}}
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@test coords[1] == (-1.0, -1.0)
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@test coords[2] == (1.0, -1.0)
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@test coords[3] == (1.0, 1.0)
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@test coords[4] == (-1.0, 1.0)
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e = edges(topo)
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@test length(e) == 4
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f = faces(topo)
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@test f[1] == (1, 2, 3, 4)
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end
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@testset "Quad8 topology" begin
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topo = Quad8()
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@test nnodes(topo) == 8
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@test dim(topo) == 2
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coords = reference_coordinates(topo)
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@test coords[5] == (0.0, -1.0) # Edge node
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@test coords[8] == (-1.0, 0.0) # Edge node
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end
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@testset "Quad9 topology" begin
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topo = Quad9()
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@test nnodes(topo) == 9
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coords = reference_coordinates(topo)
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@test coords[9] == (0.0, 0.0) # Center node
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end
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# ========================================================================
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# TOPOLOGY: 3D TETRAHEDRA
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# ========================================================================
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@testset "Tet4 topology" begin
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topo = Tet4()
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@test nnodes(topo) == 4
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@test dim(topo) == 3
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coords = reference_coordinates(topo)
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@test coords isa NTuple{4,NTuple{3,Float64}}
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@test coords[1] == (0.0, 0.0, 0.0)
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@test coords[2] == (1.0, 0.0, 0.0)
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@test coords[3] == (0.0, 1.0, 0.0)
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@test coords[4] == (0.0, 0.0, 1.0)
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e = edges(topo)
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@test length(e) == 6 # Tet has 6 edges
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f = faces(topo)
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@test length(f) == 4 # Tet has 4 triangular faces
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end
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@testset "Tet10 topology" begin
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topo = Tet10()
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@test nnodes(topo) == 10
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@test dim(topo) == 3
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coords = reference_coordinates(topo)
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@test coords[5] == (0.5, 0.0, 0.0) # Edge node
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end
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# ========================================================================
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# TOPOLOGY: 3D HEXAHEDRA
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# ========================================================================
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@testset "Hex8 topology" begin
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topo = Hex8()
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@test nnodes(topo) == 8
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@test dim(topo) == 3
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coords = reference_coordinates(topo)
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@test coords isa NTuple{8,NTuple{3,Float64}}
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@test coords[1] == (-1.0, -1.0, -1.0)
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@test coords[7] == (1.0, 1.0, 1.0)
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e = edges(topo)
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@test length(e) == 12 # Hex has 12 edges
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f = faces(topo)
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@test length(f) == 6 # Hex has 6 quadrilateral faces
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end
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@testset "Hex20 topology" begin
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topo = Hex20()
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@test nnodes(topo) == 20
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@test dim(topo) == 3
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coords = reference_coordinates(topo)
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@test coords[9] == (0.0, -1.0, -1.0) # Edge node
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end
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@testset "Hex27 topology" begin
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topo = Hex27()
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@test nnodes(topo) == 27
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coords = reference_coordinates(topo)
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@test coords[27] == (0.0, 0.0, 0.0) # Volume center node
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end
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# ========================================================================
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# TOPOLOGY: 3D PYRAMIDS
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# ========================================================================
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@testset "Pyr5 topology" begin
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topo = Pyr5()
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@test nnodes(topo) == 5
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@test dim(topo) == 3
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coords = reference_coordinates(topo)
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@test coords[5] == (0.0, 0.0, 1.0) # Apex
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e = edges(topo)
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@test length(e) == 8 # 4 base + 4 to apex
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f = faces(topo)
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@test length(f) == 5 # 1 quad base + 4 triangular
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end
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# ========================================================================
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# TOPOLOGY: 3D WEDGES
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# ========================================================================
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@testset "Wedge6 topology" begin
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topo = Wedge6()
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@test nnodes(topo) == 6
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@test dim(topo) == 3
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coords = reference_coordinates(topo)
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@test coords[1] == (0.0, 0.0, -1.0) # Bottom triangle
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@test coords[4] == (0.0, 0.0, 1.0) # Top triangle
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e = edges(topo)
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@test length(e) == 9 # 3 bottom + 3 top + 3 vertical
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f = faces(topo)
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@test length(f) == 5 # 2 triangular + 3 quadrilateral
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end
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@testset "Wedge15 topology" begin
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topo = Wedge15()
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@test nnodes(topo) == 15
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@test dim(topo) == 3
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end
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# ========================================================================
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# INTEGRATION: GAUSS QUADRATURE
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# ========================================================================
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@testset "Integration points structure" begin
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ip = IntegrationPoint{2}((0.5, 0.5), 1.0)
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@test ip.ξ == (0.5, 0.5)
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@test ip.weight == 1.0
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@test ip.ξ isa NTuple{2,Float64}
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end
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@testset "Gauss quadrature for Seg2" begin
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ips = integration_points(Gauss{2}(), Seg2())
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@test ips isa Tuple
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@test length(ips) == 2 # 2-point Gauss rule
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@test all(ip -> ip isa IntegrationPoint{1}, ips)
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# Check weights sum correctly
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total_weight = sum(ip.weight for ip in ips)
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@test total_weight ≈ 2.0 # Domain [-1,1] has length 2
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end
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@testset "Gauss quadrature for Tri3" begin
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ips1 = integration_points(Gauss{1}(), Tri3())
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@test length(ips1) == 1 # 1-point rule
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@test ips1[1].ξ ≈ (1 / 3, 1 / 3) # Centroid
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@test ips1[1].weight ≈ 0.5 # Triangle area
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ips3 = integration_points(Gauss{3}(), Tri3())
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@test length(ips3) == 3 # 3-point rule
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# Check weights sum to triangle area
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total_weight = sum(ip.weight for ip in ips3)
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@test total_weight ≈ 0.5
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end
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@testset "Gauss quadrature for Quad4" begin
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ips1 = integration_points(Gauss{1}(), Quad4())
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@test length(ips1) == 1 # 1-point rule
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ips2 = integration_points(Gauss{2}(), Quad4())
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@test length(ips2) == 4 # 2² = 4 points
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ips3 = integration_points(Gauss{3}(), Quad4())
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@test length(ips3) == 9 # 3² = 9 points
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# Check weights sum to square area
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total_weight = sum(ip.weight for ip in ips2)
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@test total_weight ≈ 4.0 # Domain [-1,1]² has area 4
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end
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@testset "Gauss quadrature for Tet4" begin
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ips = integration_points(Gauss{1}(), Tet4())
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@test length(ips) == 1
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@test all(ip -> ip isa IntegrationPoint{3}, ips)
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end
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@testset "Gauss quadrature for Hex8" begin
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ips1 = integration_points(Gauss{1}(), Hex8())
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@test length(ips1) == 1 # 1-point rule
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ips2 = integration_points(Gauss{2}(), Hex8())
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@test length(ips2) == 8 # 2³ = 8 points
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ips3 = integration_points(Gauss{3}(), Hex8())
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@test length(ips3) == 27 # 3³ = 27 points
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# Check weights sum to cube volume
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total_weight = sum(ip.weight for ip in ips2)
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@test total_weight ≈ 8.0 # Domain [-1,1]³ has volume 8
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end
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@testset "Gauss quadrature for Wedge6" begin
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ips = integration_points(Gauss{6}(), Wedge6())
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@test length(ips) == 6
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@test all(ip -> ip isa IntegrationPoint{3}, ips)
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end
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@testset "Gauss quadrature for Pyr5" begin
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ips = integration_points(Gauss{5}(), Pyr5())
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@test length(ips) == 5
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@test all(ip -> ip isa IntegrationPoint{3}, ips)
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end
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# ========================================================================
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# INTEGRATION: HIGHER ORDER ELEMENTS
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# ========================================================================
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@testset "Quadratic elements use same quadrature" begin
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# Tri3 and Tri6 can use same rules
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ips_tri3 = integration_points(Gauss{3}(), Tri3())
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ips_tri6 = integration_points(Gauss{3}(), Tri6())
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@test length(ips_tri3) == length(ips_tri6)
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# Quad4 and Quad9 can use same rules
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ips_quad4 = integration_points(Gauss{2}(), Quad4())
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ips_quad9 = integration_points(Gauss{2}(), Quad9())
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@test length(ips_quad4) == length(ips_quad9)
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# Hex8 and Hex27 can use same rules
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ips_hex8 = integration_points(Gauss{2}(), Hex8())
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ips_hex27 = integration_points(Gauss{2}(), Hex27())
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@test length(ips_hex8) == length(ips_hex27)
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end
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# ========================================================================
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# ZERO-ALLOCATION VERIFICATION
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# ========================================================================
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@testset "Zero-allocation design" begin
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# Topology functions return tuples
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@test reference_coordinates(Tri3()) isa NTuple
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@test edges(Quad4()) isa NTuple
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@test faces(Hex8()) isa NTuple
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# Integration points return tuple
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@test integration_points(Gauss{1}(), Tri3()) isa Tuple
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# IntegrationPoint.ξ is tuple
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ip = first(integration_points(Gauss{1}(), Tri3()))
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@test ip.ξ isa NTuple
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end
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# ========================================================================
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# API COMPLETENESS
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# ========================================================================
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@testset "All topology types exported" begin
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@test isdefined(JuliaFEM, :Seg2)
|
||||
@test isdefined(JuliaFEM, :Seg3)
|
||||
@test isdefined(JuliaFEM, :Tri3)
|
||||
@test isdefined(JuliaFEM, :Tri6)
|
||||
@test isdefined(JuliaFEM, :Tri7)
|
||||
@test isdefined(JuliaFEM, :Quad4)
|
||||
@test isdefined(JuliaFEM, :Quad8)
|
||||
@test isdefined(JuliaFEM, :Quad9)
|
||||
@test isdefined(JuliaFEM, :Tet4)
|
||||
@test isdefined(JuliaFEM, :Tet10)
|
||||
@test isdefined(JuliaFEM, :Hex8)
|
||||
@test isdefined(JuliaFEM, :Hex20)
|
||||
@test isdefined(JuliaFEM, :Hex27)
|
||||
@test isdefined(JuliaFEM, :Pyr5)
|
||||
@test isdefined(JuliaFEM, :Wedge6)
|
||||
@test isdefined(JuliaFEM, :Wedge15)
|
||||
end
|
||||
|
||||
@testset "Integration types exported" begin
|
||||
@test isdefined(JuliaFEM, :Gauss)
|
||||
@test isdefined(JuliaFEM, :IntegrationPoint)
|
||||
@test isdefined(JuliaFEM, :integration_points)
|
||||
end
|
||||
|
||||
end
|
||||
Reference in New Issue
Block a user