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view test/SbpOperators/boundaryops/boundary_operator_test.jl @ 980:f885e1de6dc4 feature/variable_derivatives
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author | Jonatan Werpers <jonatan@werpers.com> |
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date | Tue, 15 Mar 2022 21:38:55 +0100 |
parents | e79debd10f7d 775d5513da8f |
children | df562695b1b5 |
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using Test using Sbplib.LazyTensors using Sbplib.SbpOperators using Sbplib.Grids using Sbplib.RegionIndices import Sbplib.SbpOperators.Stencil import Sbplib.SbpOperators.BoundaryOperator import Sbplib.SbpOperators.boundary_operator @testset "BoundaryOperator" begin closure_stencil = Stencil(2.,1.,3.; center = 1) g_1D = EquidistantGrid(11, 0.0, 1.0) g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) @testset "Constructors" begin @testset "1D" begin op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1]) @test op_l == BoundaryOperator(g_1D,closure_stencil,Lower()) @test op_l == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Lower}()) @test op_l isa TensorMapping{T,0,1} where T op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1]) @test op_r == BoundaryOperator(g_1D,closure_stencil,Upper()) @test op_r == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Upper}()) @test op_r isa TensorMapping{T,0,1} where T end @testset "2D" begin e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}()) @test e_w isa InflatedTensorMapping @test e_w isa TensorMapping{T,1,2} where T end end op_l, op_r = boundary_operator.(Ref(g_1D), Ref(closure_stencil), boundary_identifiers(g_1D)) op_w, op_e, op_s, op_n = boundary_operator.(Ref(g_2D), Ref(closure_stencil), boundary_identifiers(g_2D)) @testset "Sizes" begin @testset "1D" begin @test domain_size(op_l) == (11,) @test domain_size(op_r) == (11,) @test range_size(op_l) == () @test range_size(op_r) == () end @testset "2D" begin @test domain_size(op_w) == (11,15) @test domain_size(op_e) == (11,15) @test domain_size(op_s) == (11,15) @test domain_size(op_n) == (11,15) @test range_size(op_w) == (15,) @test range_size(op_e) == (15,) @test range_size(op_s) == (11,) @test range_size(op_n) == (11,) end end @testset "Application" begin @testset "1D" begin v = evalOn(g_1D,x->1+x^2) u = fill(3.124) @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3] @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-2] @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-2] @test op_l'*u == [2*u[]; u[]; 3*u[]; zeros(8)] @test op_r'*u == [zeros(8); 3*u[]; u[]; 2*u[]] v = evalOn(g_1D, x->1. +x*im) @test (op_l*v)[] isa ComplexF64 u = fill(1. +im) @test (op_l'*u)[1] isa ComplexF64 @test (op_l'*u)[5] isa ComplexF64 @test (op_l'*u)[11] isa ComplexF64 end @testset "2D" begin v = rand(size(g_2D)...) u = fill(3.124) @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14 g_x = rand(size(g_2D)[1]) g_y = rand(size(g_2D)[2]) G_w = zeros(Float64, size(g_2D)...) G_w[1,:] = 2*g_y G_w[2,:] = g_y G_w[3,:] = 3*g_y G_e = zeros(Float64, size(g_2D)...) G_e[end,:] = 2*g_y G_e[end-1,:] = g_y G_e[end-2,:] = 3*g_y G_s = zeros(Float64, size(g_2D)...) G_s[:,1] = 2*g_x G_s[:,2] = g_x G_s[:,3] = 3*g_x G_n = zeros(Float64, size(g_2D)...) G_n[:,end] = 2*g_x G_n[:,end-1] = g_x G_n[:,end-2] = 3*g_x @test op_w'*g_y == G_w @test op_e'*g_y == G_e @test op_s'*g_x == G_s @test op_n'*g_x == G_n end @testset "Regions" begin u = fill(3.124) @test (op_l'*u)[Index(1,Lower)] == 2*u[] @test (op_l'*u)[Index(2,Lower)] == u[] @test (op_l'*u)[Index(6,Interior)] == 0 @test (op_l'*u)[Index(10,Upper)] == 0 @test (op_l'*u)[Index(11,Upper)] == 0 @test (op_r'*u)[Index(1,Lower)] == 0 @test (op_r'*u)[Index(2,Lower)] == 0 @test (op_r'*u)[Index(6,Interior)] == 0 @test (op_r'*u)[Index(10,Upper)] == u[] @test (op_r'*u)[Index(11,Upper)] == 2*u[] end end @testset "Inferred" begin v = ones(Float64, 11) u = fill(1.) @inferred apply(op_l, v) @inferred apply(op_r, v) @inferred apply_transpose(op_l, u, 4) @inferred apply_transpose(op_l, u, Index(1,Lower)) @inferred apply_transpose(op_l, u, Index(2,Lower)) @inferred apply_transpose(op_l, u, Index(6,Interior)) @inferred apply_transpose(op_l, u, Index(10,Upper)) @inferred apply_transpose(op_l, u, Index(11,Upper)) @inferred apply_transpose(op_r, u, 4) @inferred apply_transpose(op_r, u, Index(1,Lower)) @inferred apply_transpose(op_r, u, Index(2,Lower)) @inferred apply_transpose(op_r, u, Index(6,Interior)) @inferred apply_transpose(op_r, u, Index(10,Upper)) @inferred apply_transpose(op_r, u, Index(11,Upper)) end end