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annotate test/SbpOperators/boundaryops/boundary_operator_test.jl @ 981:df562695b1b5 feature/variable_derivatives

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Merge feature/tensormapping_application_promotion
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 15 Mar 2022 21:40:31 +0100
parents f885e1de6dc4 5be8e25c81b3
children 3bb94ce74697
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1 using Test
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2
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3 using Sbplib.LazyTensors
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4 using Sbplib.SbpOperators
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5 using Sbplib.Grids
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6 using Sbplib.RegionIndices
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7 import Sbplib.SbpOperators.Stencil
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8 import Sbplib.SbpOperators.BoundaryOperator
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9 import Sbplib.SbpOperators.boundary_operator
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10
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11 @testset "BoundaryOperator" begin
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12 closure_stencil = Stencil(2.,1.,3.; center = 1)
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13 g_1D = EquidistantGrid(11, 0.0, 1.0)
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14 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0))
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16 @testset "Constructors" begin
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17 @testset "1D" begin
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18 op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1])
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19 @test op_l == BoundaryOperator(g_1D,closure_stencil,Lower())
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20 @test op_l == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Lower}())
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21 @test op_l isa TensorMapping{T,0,1} where T
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22
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23 op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1])
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24 @test op_r == BoundaryOperator(g_1D,closure_stencil,Upper())
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25 @test op_r == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Upper}())
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26 @test op_r isa TensorMapping{T,0,1} where T
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27 end
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29 @testset "2D" begin
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30 e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}())
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31 @test e_w isa InflatedTensorMapping
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32 @test e_w isa TensorMapping{T,1,2} where T
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33 end
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34 end
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35 op_l, op_r = boundary_operator.(Ref(g_1D), Ref(closure_stencil), boundary_identifiers(g_1D))
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36 op_w, op_e, op_s, op_n = boundary_operator.(Ref(g_2D), Ref(closure_stencil), boundary_identifiers(g_2D))
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38 @testset "Sizes" begin
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39 @testset "1D" begin
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40 @test domain_size(op_l) == (11,)
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41 @test domain_size(op_r) == (11,)
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42
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43 @test range_size(op_l) == ()
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44 @test range_size(op_r) == ()
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45 end
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47 @testset "2D" begin
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48 @test domain_size(op_w) == (11,15)
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49 @test domain_size(op_e) == (11,15)
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50 @test domain_size(op_s) == (11,15)
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51 @test domain_size(op_n) == (11,15)
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53 @test range_size(op_w) == (15,)
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54 @test range_size(op_e) == (15,)
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55 @test range_size(op_s) == (11,)
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56 @test range_size(op_n) == (11,)
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57 end
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58 end
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59
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60 @testset "Application" begin
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61 @testset "1D" begin
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62 v = evalOn(g_1D,x->1+x^2)
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63 u = fill(3.124)
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64 @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3]
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65 @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-2]
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66 @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-2]
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67 @test op_l'*u == [2*u[]; u[]; 3*u[]; zeros(8)]
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68 @test op_r'*u == [zeros(8); 3*u[]; u[]; 2*u[]]
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70 v = evalOn(g_1D, x->1. +x*im)
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71 @test (op_l*v)[] isa ComplexF64
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73 u = fill(1. +im)
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74 @test (op_l'*u)[1] isa ComplexF64
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75 @test (op_l'*u)[5] isa ComplexF64
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76 @test (op_l'*u)[11] isa ComplexF64
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77 end
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78
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79 @testset "2D" begin
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80 v = rand(size(g_2D)...)
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81 u = fill(3.124)
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82 @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14
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83 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14
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84 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14
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85 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14
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87
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88 g_x = rand(size(g_2D)[1])
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89 g_y = rand(size(g_2D)[2])
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90
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91 G_w = zeros(Float64, size(g_2D)...)
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92 G_w[1,:] = 2*g_y
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93 G_w[2,:] = g_y
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94 G_w[3,:] = 3*g_y
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95
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96 G_e = zeros(Float64, size(g_2D)...)
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97 G_e[end,:] = 2*g_y
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98 G_e[end-1,:] = g_y
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99 G_e[end-2,:] = 3*g_y
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100
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101 G_s = zeros(Float64, size(g_2D)...)
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102 G_s[:,1] = 2*g_x
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103 G_s[:,2] = g_x
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104 G_s[:,3] = 3*g_x
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105
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106 G_n = zeros(Float64, size(g_2D)...)
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107 G_n[:,end] = 2*g_x
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108 G_n[:,end-1] = g_x
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109 G_n[:,end-2] = 3*g_x
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110
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111 @test op_w'*g_y == G_w
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112 @test op_e'*g_y == G_e
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113 @test op_s'*g_x == G_s
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114 @test op_n'*g_x == G_n
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115 end
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116
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117 @testset "Regions" begin
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118 u = fill(3.124)
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119 @test (op_l'*u)[Index(1,Lower)] == 2*u[]
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120 @test (op_l'*u)[Index(2,Lower)] == u[]
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121 @test (op_l'*u)[Index(6,Interior)] == 0
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122 @test (op_l'*u)[Index(10,Upper)] == 0
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123 @test (op_l'*u)[Index(11,Upper)] == 0
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124
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125 @test (op_r'*u)[Index(1,Lower)] == 0
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126 @test (op_r'*u)[Index(2,Lower)] == 0
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127 @test (op_r'*u)[Index(6,Interior)] == 0
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128 @test (op_r'*u)[Index(10,Upper)] == u[]
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129 @test (op_r'*u)[Index(11,Upper)] == 2*u[]
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130 end
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131 end
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132
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133 @testset "Inferred" begin
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134 v = ones(Float64, 11)
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135 u = fill(1.)
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136
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137 @inferred apply(op_l, v)
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138 @inferred apply(op_r, v)
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139
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140 @inferred apply_transpose(op_l, u, 4)
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141 @inferred apply_transpose(op_l, u, Index(1,Lower))
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142 @inferred apply_transpose(op_l, u, Index(2,Lower))
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143 @inferred apply_transpose(op_l, u, Index(6,Interior))
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144 @inferred apply_transpose(op_l, u, Index(10,Upper))
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145 @inferred apply_transpose(op_l, u, Index(11,Upper))
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146
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147 @inferred apply_transpose(op_r, u, 4)
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148 @inferred apply_transpose(op_r, u, Index(1,Lower))
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149 @inferred apply_transpose(op_r, u, Index(2,Lower))
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150 @inferred apply_transpose(op_r, u, Index(6,Interior))
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151 @inferred apply_transpose(op_r, u, Index(10,Upper))
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152 @inferred apply_transpose(op_r, u, Index(11,Upper))
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153 end
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154 end