Mercurial > repos > public > sbplib_julia

annotate test/SbpOperators/volumeops/derivatives/first_derivative_test.jl @ 1018:5ec49dd2c7c4 feature/stencil_set_type

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Reintroduce read_stencil_set
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 22 Mar 2022 09:57:28 +0100
parents b6238afd3bb0
children 7fc8df5157a7
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 using Test
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
3
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4 using Sbplib.SbpOperators
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5 using Sbplib.Grids
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
6 using Sbplib.LazyTensors
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7
983
5bfc03cf3ba7 Add testing for VolumeOperator
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 979
diff changeset
8 using Sbplib.SbpOperators: closure_size, Stencil, VolumeOperator
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
9
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
10 """
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
11 monomial(x,k)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
12
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
13 Evaluates ``x^k/k!` with the convetion that it is ``0`` for all ``k<0``.
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
14 Has the property that ``d/dx monomial(x,k) = monomial(x,k-1)``
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
15 """
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
16 function monomial(x,k)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
17 if k < 0
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
18 return zero(x)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
19 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
20 x^k/factorial(k)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
21 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
22
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
23 @testset "first_derivative" begin
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
24 @testset "Constructors" begin
1018
5ec49dd2c7c4 Reintroduce read_stencil_set
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 990
diff changeset
25 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
26
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
27 g₁ = EquidistantGrid(11, 0., 1.)
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
28 g₂ = EquidistantGrid((11,14), (0.,1.), (1.,3.))
983
5bfc03cf3ba7 Add testing for VolumeOperator
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 979
diff changeset
29
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
30 @test first_derivative(g₁, stencil_set, 1) isa TensorMapping{Float64,1,1}
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
31 @test first_derivative(g₂, stencil_set, 2) isa TensorMapping{Float64,2,2}
990
b6238afd3bb0 Add methods for creating derivative operators in 1D from stencil sets without providing directions
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 989
diff changeset
32 @test first_derivative(g₁, stencil_set, 1) == first_derivative(g₁, stencil_set)
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
33
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
34 interior_stencil = CenteredStencil(-1,0,1)
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
35 closure_stencils = [Stencil(-1,1, center=1)]
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
36
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
37 @test first_derivative(g₁, interior_stencil, closure_stencils, 1) isa TensorMapping{Float64,1,1}
983
5bfc03cf3ba7 Add testing for VolumeOperator
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 979
diff changeset
38 @test first_derivative(g₁, interior_stencil, closure_stencils, 1) isa VolumeOperator
990
b6238afd3bb0 Add methods for creating derivative operators in 1D from stencil sets without providing directions
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 989
diff changeset
39 @test first_derivative(g₁, interior_stencil, closure_stencils, 1) == first_derivative(g₁, interior_stencil, closure_stencils)
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
40 @test first_derivative(g₂, interior_stencil, closure_stencils, 2) isa TensorMapping{Float64,2,2}
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
41 end
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
42
979
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
43 @testset "Accuracy conditions" begin
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
44 N = 20
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
45 g = EquidistantGrid(N, 0//1,2//1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
46 @testset for order ∈ [2,4]
1018
5ec49dd2c7c4 Reintroduce read_stencil_set
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 990
diff changeset
47 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
48 D₁ = first_derivative(g, stencil_set, 1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
49
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
50 @testset "boundary x^$k" for k ∈ 0:order÷2
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
51 v = evalOn(g, x->monomial(x,k))
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
52
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
53 @testset for i ∈ 1:closure_size(D₁)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
54 x, = points(g)[i]
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
55 @test (D₁*v)[i] == monomial(x,k-1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
56 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
57
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
58 @testset for i ∈ (N-closure_size(D₁)+1):N
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
59 x, = points(g)[i]
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
60 @test (D₁*v)[i] == monomial(x,k-1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
61 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
62 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
63
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
64 @testset "interior x^$k" for k ∈ 0:order
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
65 v = evalOn(g, x->monomial(x,k))
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
66
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
67 x, = points(g)[10]
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
68 @test (D₁*v)[10] == monomial(x,k-1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
69 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
70 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
71 end
979
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
72
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
73 @testset "Accuracy on function" begin
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
74 g = EquidistantGrid(30, 0.,1.)
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
75 v = evalOn(g, x->exp(x))
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
76 @testset for (order, tol) ∈ [(2, 6e-3),(4, 2e-4)]
1018
5ec49dd2c7c4 Reintroduce read_stencil_set
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 990
diff changeset
77 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
979
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
78 D₁ = first_derivative(g, stencil_set, 1)
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
79
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
80 @test D₁*v ≈ v rtol=tol
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
81 end
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
82 end
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
83 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
84