Mercurial > repos > public > sbplib_julia
annotate test/testSbpOperators.jl @ 641:5e50e9815732 feature/volume_and_boundary_operators
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Mon, 04 Jan 2021 17:16:04 +0100 |
parents | 08b2c7a2d063 |
children | f4a16b403487 |
rev | line source |
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1 using Test |
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2 using Sbplib.SbpOperators |
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3 using Sbplib.Grids |
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4 using Sbplib.RegionIndices |
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5 using Sbplib.LazyTensors |
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6 using LinearAlgebra |
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7 using TOML |
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8 |
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9 import Sbplib.SbpOperators.Stencil |
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10 import Sbplib.SbpOperators.VolumeOperator |
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11 import Sbplib.SbpOperators.volume_operator |
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12 import Sbplib.SbpOperators.BoundaryOperator |
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13 import Sbplib.SbpOperators.boundary_operator |
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14 import Sbplib.SbpOperators.Parity |
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15 |
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16 |
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17 @testset "SbpOperators" begin |
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18 |
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19 @testset "Stencil" begin |
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20 s = Stencil((-2,2), (1.,2.,2.,3.,4.)) |
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21 @test s isa Stencil{Float64, 5} |
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22 |
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23 @test eltype(s) == Float64 |
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24 @test SbpOperators.scale(s, 2) == Stencil((-2,2), (2.,4.,4.,6.,8.)) |
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25 |
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26 @test Stencil((1,2,3,4), center=1) == Stencil((0, 3),(1,2,3,4)) |
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27 @test Stencil((1,2,3,4), center=2) == Stencil((-1, 2),(1,2,3,4)) |
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28 @test Stencil((1,2,3,4), center=4) == Stencil((-3, 0),(1,2,3,4)) |
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29 end |
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30 |
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31 @testset "parse_rational" begin |
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32 @test SbpOperators.parse_rational("1") isa Rational |
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33 @test SbpOperators.parse_rational("1") == 1//1 |
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34 @test SbpOperators.parse_rational("1/2") isa Rational |
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35 @test SbpOperators.parse_rational("1/2") == 1//2 |
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36 @test SbpOperators.parse_rational("37/13") isa Rational |
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37 @test SbpOperators.parse_rational("37/13") == 37//13 |
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38 end |
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39 |
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40 @testset "readoperator" begin |
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41 toml_str = """ |
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42 [meta] |
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43 type = "equidistant" |
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44 |
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45 [order2] |
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46 H.inner = ["1"] |
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47 |
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48 D1.inner_stencil = ["-1/2", "0", "1/2"] |
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49 D1.closure_stencils = [ |
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50 ["-1", "1"], |
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51 ] |
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52 |
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53 d1.closure = ["-3/2", "2", "-1/2"] |
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54 |
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55 [order4] |
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56 H.closure = ["17/48", "59/48", "43/48", "49/48"] |
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57 |
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58 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"] |
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59 D2.closure_stencils = [ |
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60 [ "2", "-5", "4", "-1", "0", "0"], |
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61 [ "1", "-2", "1", "0", "0", "0"], |
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62 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], |
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63 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], |
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64 ] |
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65 """ |
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66 |
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67 parsed_toml = TOML.parse(toml_str) |
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68 @testset "get_stencil" begin |
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69 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == Stencil((-1/2, 0., 1/2), center=2) |
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70 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == Stencil((-1/2, 0., 1/2); center=1) |
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71 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == Stencil((-1/2, 0., 1/2); center=3) |
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72 |
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73 @test get_stencil(parsed_toml, "order2", "H", "inner") == Stencil((1.,), center=1) |
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74 |
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75 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type") |
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76 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils") |
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77 end |
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78 |
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79 @testset "get_stencils" begin |
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80 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (Stencil((-1., 1.), center=1),) |
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81 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (Stencil((-1., 1.), center=2),) |
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82 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (Stencil((-1., 1.), center=2),) |
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83 |
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84 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == ( |
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85 Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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86 Stencil(( 1., -2., 1., 0., 0., 0.), center=1), |
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87 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=1), |
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88 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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89 ) |
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90 |
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91 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == ( |
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92 Stencil(( 2., -5., 4., -1., 0., 0.), center=4), |
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93 Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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94 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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95 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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96 ) |
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97 |
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98 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == ( |
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99 Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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100 Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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101 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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102 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=4), |
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103 ) |
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104 |
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105 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3)) |
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106 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4)) |
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107 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2)) |
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108 end |
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109 |
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110 @testset "get_tuple" begin |
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111 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2) |
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112 |
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113 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type") |
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114 end |
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115 end |
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116 |
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117 # @testset "apply_quadrature" begin |
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118 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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119 # h = 0.5 |
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120 # |
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121 # @test apply_quadrature(op, h, 1.0, 10, 100) == h |
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122 # |
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123 # N = 10 |
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124 # qc = op.quadratureClosure |
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125 # q = h.*(qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
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126 # @assert length(q) == N |
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127 # |
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128 # for i ∈ 1:N |
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129 # @test apply_quadrature(op, h, 1.0, i, N) == q[i] |
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130 # end |
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131 # |
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132 # v = [2.,3.,2.,4.,5.,4.,3.,4.,5.,4.5] |
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133 # for i ∈ 1:N |
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134 # @test apply_quadrature(op, h, v[i], i, N) == q[i]*v[i] |
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135 # end |
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136 # end |
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137 |
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138 @testset "VolumeOperator" begin |
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139 inner_stencil = Stencil(1/4 .* (1.,2.,1.),center=2) |
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140 closure_stencils = (Stencil(1/2 .* (1.,1.),center=1),Stencil((0.,1.),center=2)) |
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141 g_1D = EquidistantGrid(11,0.,1.) |
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142 g_2D = EquidistantGrid((11,12),(0.,0.),(1.,1.)) |
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143 g_3D = EquidistantGrid((11,12,10),(0.,0.,0.),(1.,1.,1.)) |
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144 @testset "Constructors" begin |
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145 #TODO: How are even and odd in SbpOperators.Parity exposed? Currently constructing even as Parity(1) |
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146 @testset "1D" begin |
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147 op = VolumeOperator(inner_stencil,closure_stencils,(11,),Parity(1)) |
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148 @test op == VolumeOperator(g_1D,inner_stencil,closure_stencils,Parity(1)) |
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149 @test op == volume_operator(g_1D,inner_stencil,closure_stencils,Parity(1),1) |
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150 @test op isa TensorMapping{T,1,1} where T |
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151 end |
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152 @testset "2D" begin |
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153 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),1) |
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154 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),2) |
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155 Ix = IdentityMapping{Float64}((11,)) |
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156 Iy = IdentityMapping{Float64}((12,)) |
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157 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),Parity(1))⊗Iy |
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158 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),Parity(1)) |
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159 @test op_x isa TensorMapping{T,2,2} where T |
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160 @test op_y isa TensorMapping{T,2,2} where T |
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161 end |
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162 @testset "3D" begin |
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163 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),1) |
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164 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),2) |
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165 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),3) |
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166 Ix = IdentityMapping{Float64}((11,)) |
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167 Iy = IdentityMapping{Float64}((12,)) |
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168 Iz = IdentityMapping{Float64}((10,)) |
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169 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),Parity(1))⊗Iy⊗Iz |
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170 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),Parity(1))⊗Iz |
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171 @test op_z == Ix⊗Iy⊗VolumeOperator(inner_stencil,closure_stencils,(10,),Parity(1)) |
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172 @test op_x isa TensorMapping{T,3,3} where T |
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173 @test op_y isa TensorMapping{T,3,3} where T |
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174 @test op_z isa TensorMapping{T,3,3} where T |
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175 end |
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176 end |
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177 |
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178 @testset "Sizes" begin |
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179 @testset "1D" begin |
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180 op = volume_operator(g_1D,inner_stencil,closure_stencils,Parity(1),1) |
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181 @test range_size(op) == domain_size(op) == size(g_1D) |
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182 end |
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183 |
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184 @testset "2D" begin |
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185 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),1) |
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186 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),2) |
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187 @test range_size(op_y) == domain_size(op_y) == |
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188 range_size(op_x) == domain_size(op_x) == size(g_2D) |
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189 end |
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190 @testset "3D" begin |
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191 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),1) |
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192 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),2) |
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193 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),3) |
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194 @test range_size(op_z) == domain_size(op_z) == |
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195 range_size(op_y) == domain_size(op_y) == |
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196 range_size(op_x) == domain_size(op_x) == size(g_3D) |
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197 end |
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198 end |
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199 |
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200 # TODO: Test for other dimensions? |
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201 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),1) |
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202 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(-1),2) |
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203 v = zeros(size(g_2D)) |
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204 Nx = size(g_2D)[1] |
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205 Ny = size(g_2D)[2] |
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206 for i = 1:Nx |
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207 v[i,:] .= i |
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208 end |
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209 rx = copy(v) |
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210 rx[1,:] .= 1.5 |
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211 rx[Nx,:] .= (2*Nx-1)/2 |
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212 ry = copy(v) |
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213 ry[:,Ny-1:Ny] = -v[:,Ny-1:Ny] |
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214 |
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215 @testset "Application" begin |
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216 @test op_x*v ≈ rx rtol = 1e-14 |
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217 @test op_y*v ≈ ry rtol = 1e-14 |
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218 end |
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219 |
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220 # TODO: Test for other dimensions? |
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221 @testset "Regions" begin |
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222 @test (op_x*v)[Index(1,Lower),Index(3,Interior)] ≈ rx[1,3] rtol = 1e-14 |
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223 @test (op_x*v)[Index(2,Lower),Index(3,Interior)] ≈ rx[2,3] rtol = 1e-14 |
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224 @test (op_x*v)[Index(6,Interior),Index(3,Interior)] ≈ rx[6,3] rtol = 1e-14 |
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225 @test (op_x*v)[Index(10,Upper),Index(3,Interior)] ≈ rx[10,3] rtol = 1e-14 |
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226 @test (op_x*v)[Index(11,Upper),Index(3,Interior)] ≈ rx[11,3] rtol = 1e-14 |
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227 |
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228 @test_throws BoundsError (op_x*v)[Index(3,Lower),Index(3,Interior)] |
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229 @test_throws BoundsError (op_x*v)[Index(9,Upper),Index(3,Interior)] |
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230 |
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231 @test (op_y*v)[Index(3,Interior),Index(1,Lower)] ≈ ry[3,1] rtol = 1e-14 |
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232 @test (op_y*v)[Index(3,Interior),Index(2,Lower)] ≈ ry[3,2] rtol = 1e-14 |
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233 @test (op_y*v)[Index(3,Interior),Index(6,Interior)] ≈ ry[3,6] rtol = 1e-14 |
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234 @test (op_y*v)[Index(3,Interior),Index(11,Upper)] ≈ ry[3,11] rtol = 1e-14 |
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235 @test (op_y*v)[Index(3,Interior),Index(12,Upper)] ≈ ry[3,12] rtol = 1e-14 |
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236 |
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237 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(10,Upper)] |
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238 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(3,Lower)] |
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239 end |
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240 |
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241 # TODO: Test for other dimensions? |
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242 @testset "Inferred" begin |
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243 @inferred apply(op_x, v,1,1) |
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244 @inferred apply(op_x, v, Index(1,Lower),Index(1,Lower)) |
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245 @inferred apply(op_x, v, Index(6,Interior),Index(1,Lower)) |
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246 @inferred apply(op_x, v, Index(11,Upper),Index(1,Lower)) |
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247 |
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248 @inferred apply(op_y, v,1,1) |
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249 @inferred apply(op_y, v, Index(1,Lower),Index(1,Lower)) |
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250 @inferred apply(op_y, v, Index(1,Lower),Index(6,Interior)) |
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251 @inferred apply(op_y, v, Index(1,Lower),Index(11,Upper)) |
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252 end |
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253 |
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254 end |
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255 |
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256 @testset "SecondDerivative" begin |
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257 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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258 Lx = 3.5 |
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259 Ly = 3. |
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260 g_1D = EquidistantGrid(121, 0.0, Lx) |
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261 g_2D = EquidistantGrid((121,123), (0.0, 0.0), (Lx, Ly)) |
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262 |
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263 # TODO: These areant really constructors. Better name? |
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264 @testset "Constructors" begin |
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265 @testset "1D" begin |
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266 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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267 @test Dₓₓ == SecondDerivative(g_1D,op.innerStencil,op.closureStencils,1) |
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268 @test Dₓₓ isa VolumeOperator |
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269 end |
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270 @testset "2D" begin |
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271 Dₓₓ = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,1) |
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272 D2 = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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273 I = IdentityMapping{Float64}(size(g_2D)[2]) |
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274 @test Dₓₓ == D2⊗I |
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275 @test Dₓₓ isa TensorMapping{T,2,2} where T |
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276 end |
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277 end |
314
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278 |
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279 @testset "Accuracy" begin |
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280 @testset "1D" begin |
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281 monomials = () |
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282 maxOrder = 4; |
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283 for i = 0:maxOrder-1 |
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284 f_i(x) = 1/factorial(i)*x^i |
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285 monomials = (monomials...,evalOn(g_1D,f_i)) |
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286 end |
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287 l2(v) = sqrt(spacing(g_1D)[1]*sum(v.^2)); |
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288 |
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289 #TODO: Error when reading second order stencil! |
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290 # @testset "2nd order" begin |
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291 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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292 # Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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293 # @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-13 |
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294 # @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-13 |
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295 # end |
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296 |
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297 # 4th order interior stencil, 2nd order boundary stencil, |
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298 # implies that L*v should be exact for monomials up to order 3. |
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299 # Exact differentiation is measured point-wise. For other grid functions |
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300 # the error is measured in the l2-norm. |
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301 @testset "4th order" begin |
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302 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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303 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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304 # TODO: high tolerances for checking the "exact" differentiation |
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305 # due to accumulation of round-off errors/cancellation errors? |
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306 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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307 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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308 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10 |
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309 @test Dₓₓ*monomials[4] ≈ monomials[2] atol = 5e-10 |
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310 @test Dₓₓ*evalOn(g_1D,x -> sin(x)) ≈ evalOn(g_1D,x -> -sin(x)) rtol = 5e-4 norm = l2 |
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311 end |
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312 end |
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313 |
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314 @testset "2D" begin |
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315 binomials = () |
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316 maxOrder = 4; |
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317 for i = 0:maxOrder-1 |
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318 f_i(x,y) = 1/factorial(i)*y^i + x^i |
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319 binomials = (binomials...,evalOn(g_2D,f_i)) |
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320 end |
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321 l2(v) = sqrt(prod(spacing(g_2D))*sum(v.^2)); |
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322 |
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323 #TODO: Error when reading second order stencil! |
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324 # @testset "2nd order" begin |
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325 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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326 # Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2) |
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327 # @test Dyy*binomials[1] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12 |
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328 # @test Dyy*binomials[2] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12 |
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329 # end |
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330 |
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331 # 4th order interior stencil, 2nd order boundary stencil, |
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332 # implies that L*v should be exact for binomials up to order 3. |
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333 # Exact differentiation is measured point-wise. For other grid functions |
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334 # the error is measured in the l2-norm. |
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335 @testset "4th order" begin |
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336 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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337 Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2) |
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338 # TODO: high tolerances for checking the "exact" differentiation |
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339 # due to accumulation of round-off errors/cancellation errors? |
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340 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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341 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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342 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9 |
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343 @test Dyy*binomials[4] ≈ evalOn(g_2D,(x,y)->y) atol = 5e-9 |
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344 @test Dyy*evalOn(g_2D, (x,y) -> sin(x)+cos(y)) ≈ evalOn(g_2D,(x,y) -> -cos(y)) rtol = 5e-4 norm = l2 |
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345 end |
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346 end |
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347 end |
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349 |
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350 @testset "Laplace" begin |
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351 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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352 g_1D = EquidistantGrid(101, 0.0, 1.) |
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353 #TODO: It's nice to verify that 3D works somewhere at least, but perhaps should keep 3D tests to a minimum to avoid |
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354 # long run time for test? |
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355 g_3D = EquidistantGrid((51,101,52), (0.0, -1.0, 0.0), (1., 1., 1.)) |
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356 # TODO: These areant really constructors. Better name? |
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357 @testset "Constructors" begin |
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358 @testset "1D" begin |
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359 L = Laplace(g_1D, op.innerStencil, op.closureStencils) |
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360 @test L == SecondDerivative(g_1D, op.innerStencil, op.closureStencils) |
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361 @test L isa TensorMapping{T,1,1} where T |
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362 end |
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363 @testset "3D" begin |
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364 L = Laplace(g_3D, op.innerStencil, op.closureStencils) |
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365 @test L isa TensorMapping{T,3,3} where T |
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366 Dxx = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,1) |
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367 Dyy = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,2) |
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368 Dzz = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,3) |
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369 @test L == Dxx + Dyy + Dzz |
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370 end |
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371 end |
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372 |
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373 @testset "Accuracy" begin |
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374 polynomials = () |
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375 maxOrder = 4; |
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376 for i = 0:maxOrder-1 |
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377 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i) |
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378 polynomials = (polynomials...,evalOn(g_3D,f_i)) |
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379 end |
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380 l2(v) = sqrt(prod(spacing(g_3D))*sum(v.^2)); |
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381 |
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382 #TODO: Error when reading second order stencil! |
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383 # @testset "2nd order" begin |
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384 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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385 # Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2) |
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386 # @test Dyy*binomials[1] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12 |
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387 # @test Dyy*binomials[2] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12 |
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388 # end |
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389 |
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390 # 4th order interior stencil, 2nd order boundary stencil, |
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391 # implies that L*v should be exact for binomials up to order 3. |
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392 # Exact differentiation is measured point-wise. For other grid functions |
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393 # the error is measured in the l2-norm. |
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394 @testset "4th order" begin |
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395 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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396 L = Laplace(g_3D,op.innerStencil,op.closureStencils) |
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397 # TODO: high tolerances for checking the "exact" differentiation |
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398 # due to accumulation of round-off errors/cancellation errors? |
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399 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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400 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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401 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9 |
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402 @test L*polynomials[4] ≈ polynomials[2] atol = 5e-9 |
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403 @test L*evalOn(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z)) ≈ evalOn(g_3D,(x,y,z) -> -sin(x)-cos(y) + exp(z)) rtol = 5e-4 norm = l2 |
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404 end |
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405 end |
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406 end |
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407 |
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408 @testset "DiagonalQuadrature" begin |
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409 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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410 Lx = π/2. |
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411 Ly = Float64(π) |
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412 g_1D = EquidistantGrid(77, 0.0, Lx) |
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413 g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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414 integral(H,v) = sum(H*v) |
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415 @testset "Constructors" begin |
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416 @testset "1D" begin |
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417 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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418 inner_stencil = Stencil((1.,),center=1) |
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419 @test H == Quadrature(g_1D,inner_stencil,op.quadratureClosure) |
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420 @test H isa TensorMapping{T,1,1} where T |
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421 end |
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422 @testset "1D" begin |
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423 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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424 H_x = DiagonalQuadrature(restrict(g_2D,1),op.quadratureClosure) |
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425 H_y = DiagonalQuadrature(restrict(g_2D,2),op.quadratureClosure) |
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426 @test H == H_x⊗H_y |
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427 @test H isa TensorMapping{T,2,2} where T |
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428 end |
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429 end |
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430 |
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431 @testset "Sizes" begin |
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432 @testset "1D" begin |
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433 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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434 @test domain_size(H) == size(g_1D) |
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435 @test range_size(H) == size(g_1D) |
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436 end |
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437 @testset "2D" begin |
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438 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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439 @test domain_size(H) == size(g_2D) |
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440 @test range_size(H) == size(g_2D) |
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441 end |
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442 end |
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443 |
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444 @testset "Accuracy" begin |
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445 @testset "1D" begin |
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446 v = () |
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447 for i = 0:4 |
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448 f_i(x) = 1/factorial(i)*x^i |
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449 v = (v...,evalOn(g_1D,f_i)) |
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450 end |
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451 u = evalOn(g_1D,x->sin(x)) |
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452 |
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453 @testset "2nd order" begin |
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454 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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455 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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456 for i = 1:2 |
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457 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 |
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458 end |
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459 @test integral(H,u) ≈ 1. rtol = 1e-4 |
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460 end |
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461 |
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462 @testset "4th order" begin |
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463 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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464 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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465 for i = 1:4 |
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466 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 |
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467 end |
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468 @test integral(H,u) ≈ 1. rtol = 1e-8 |
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469 end |
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470 end |
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471 |
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472 @testset "2D" begin |
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473 b = 2.1 |
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474 v = b*ones(Float64, size(g_2D)) |
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475 u = evalOn(g_2D,(x,y)->sin(x)+cos(y)) |
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476 @testset "2nd order" begin |
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477 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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478 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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479 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 |
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480 @test integral(H,u) ≈ π rtol = 1e-4 |
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481 end |
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482 @testset "4th order" begin |
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483 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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484 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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485 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 |
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486 @test integral(H,u) ≈ π rtol = 1e-8 |
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487 end |
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488 end |
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489 end |
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490 end |
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491 |
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492 # @testset "InverseDiagonalQuadrature" begin |
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493 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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494 # Lx = π/2. |
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495 # Ly = Float64(π) |
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496 # g_1D = EquidistantGrid(77, 0.0, Lx) |
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497 # g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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498 # @testset "Constructors" begin |
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499 # # 1D |
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500 # Hi_x = InverseDiagonalQuadrature(inverse_spacing(g_1D)[1], 1. ./ op.quadratureClosure, size(g_1D)); |
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501 # @test Hi_x == InverseDiagonalQuadrature(g_1D,op.quadratureClosure) |
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502 # @test Hi_x == inverse_diagonal_quadrature(g_1D,op.quadratureClosure) |
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503 # @test Hi_x isa TensorMapping{T,1,1} where T |
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504 # @test Hi_x' isa TensorMapping{T,1,1} where T |
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505 # |
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506 # # 2D |
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507 # Hi_xy = inverse_diagonal_quadrature(g_2D,op.quadratureClosure) |
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508 # @test Hi_xy isa TensorMappingComposition |
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509 # @test Hi_xy isa TensorMapping{T,2,2} where T |
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510 # @test Hi_xy' isa TensorMapping{T,2,2} where T |
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511 # end |
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512 # |
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513 # @testset "Sizes" begin |
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514 # # 1D |
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515 # Hi_x = inverse_diagonal_quadrature(g_1D,op.quadratureClosure) |
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516 # @test domain_size(Hi_x) == size(g_1D) |
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517 # @test range_size(Hi_x) == size(g_1D) |
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518 # # 2D |
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519 # Hi_xy = inverse_diagonal_quadrature(g_2D,op.quadratureClosure) |
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520 # @test domain_size(Hi_xy) == size(g_2D) |
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521 # @test range_size(Hi_xy) == size(g_2D) |
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522 # end |
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523 # |
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524 # @testset "Application" begin |
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525 # # 1D |
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526 # H_x = diagonal_quadrature(g_1D,op.quadratureClosure) |
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527 # Hi_x = inverse_diagonal_quadrature(g_1D,op.quadratureClosure) |
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528 # v_1D = evalOn(g_1D,x->sin(x)) |
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529 # u_1D = evalOn(g_1D,x->x^3-x^2+1) |
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530 # @test Hi_x*H_x*v_1D ≈ v_1D rtol = 1e-15 |
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531 # @test Hi_x*H_x*u_1D ≈ u_1D rtol = 1e-15 |
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532 # @test Hi_x*v_1D == Hi_x'*v_1D |
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533 # # 2D |
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534 # H_xy = diagonal_quadrature(g_2D,op.quadratureClosure) |
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535 # Hi_xy = inverse_diagonal_quadrature(g_2D,op.quadratureClosure) |
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536 # v_2D = evalOn(g_2D,(x,y)->sin(x)+cos(y)) |
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537 # u_2D = evalOn(g_2D,(x,y)->x*y + x^5 - sqrt(y)) |
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538 # @test Hi_xy*H_xy*v_2D ≈ v_2D rtol = 1e-15 |
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539 # @test Hi_xy*H_xy*u_2D ≈ u_2D rtol = 1e-15 |
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540 # @test Hi_xy*v_2D ≈ Hi_xy'*v_2D rtol = 1e-16 #Failed for exact equality. Must differ in operation order for some reason? |
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541 # end |
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542 # |
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543 # @testset "Inferred" begin |
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544 # Hi_x = inverse_diagonal_quadrature(g_1D,op.quadratureClosure) |
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545 # Hi_xy = inverse_diagonal_quadrature(g_2D,op.quadratureClosure) |
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546 # v_1D = ones(Float64, size(g_1D)) |
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547 # v_2D = ones(Float64, size(g_2D)) |
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548 # @inferred Hi_x*v_1D |
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549 # @inferred Hi_x'*v_1D |
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550 # @inferred Hi_xy*v_2D |
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551 # @inferred Hi_xy'*v_2D |
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552 # end |
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553 # end |
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554 |
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555 @testset "BoundaryOperator" begin |
617 | 556 closure_stencil = Stencil((0,2), (2.,1.,3.)) |
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557 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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558 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
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559 |
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560 @testset "Constructors" begin |
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561 @testset "1D" begin |
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562 op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1]) |
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563 @test op_l == BoundaryOperator(g_1D,closure_stencil,Lower()) |
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564 @test op_l == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Lower}()) |
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565 @test op_l isa TensorMapping{T,0,1} where T |
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566 |
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567 op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1]) |
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568 @test op_r == BoundaryRestriction(g_1D,closure_stencil,Upper()) |
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569 @test op_r == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Upper}()) |
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570 @test op_r isa TensorMapping{T,0,1} where T |
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571 end |
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572 |
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573 @testset "2D" begin |
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574 e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}()) |
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575 @test e_w isa InflatedTensorMapping |
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576 @test e_w isa TensorMapping{T,1,2} where T |
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577 end |
565
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|
578 end |
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diff
changeset
|
579 |
610
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
580 op_l = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Lower}()) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
581 op_r = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Upper}()) |
513
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397
diff
changeset
|
582 |
610
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
583 op_w = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
584 op_e = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
585 op_s = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Lower}()) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
586 op_n = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Upper}()) |
565
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parents:
562
diff
changeset
|
587 |
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diff
changeset
|
588 @testset "Sizes" begin |
576
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Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
589 @testset "1D" begin |
610
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
590 @test domain_size(op_l) == (11,) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
591 @test domain_size(op_r) == (11,) |
513
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Get some kind of tested working implementation.
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diff
changeset
|
592 |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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diff
changeset
|
593 @test range_size(op_l) == () |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
594 @test range_size(op_r) == () |
576
1d4417ced79f
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parents:
575
diff
changeset
|
595 end |
565
15423a868d28
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
596 |
576
1d4417ced79f
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parents:
575
diff
changeset
|
597 @testset "2D" begin |
610
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diff
changeset
|
598 @test domain_size(op_w) == (11,15) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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diff
changeset
|
599 @test domain_size(op_e) == (11,15) |
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diff
changeset
|
600 @test domain_size(op_s) == (11,15) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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diff
changeset
|
601 @test domain_size(op_n) == (11,15) |
565
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diff
changeset
|
602 |
610
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changeset
|
603 @test range_size(op_w) == (15,) |
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diff
changeset
|
604 @test range_size(op_e) == (15,) |
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|
605 @test range_size(op_s) == (11,) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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diff
changeset
|
606 @test range_size(op_n) == (11,) |
576
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parents:
575
diff
changeset
|
607 end |
565
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|
608 end |
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changeset
|
609 |
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|
610 @testset "Application" begin |
576
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diff
changeset
|
611 @testset "1D" begin |
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|
612 v = evalOn(g_1D,x->1+x^2) |
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diff
changeset
|
613 u = fill(3.124) |
610
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
614 @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3] |
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changeset
|
615 @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-2] |
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diff
changeset
|
616 @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-2] |
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changeset
|
617 @test op_l'*u == [2*u[]; u[]; 3*u[]; zeros(8)] |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
618 @test op_r'*u == [zeros(8); 3*u[]; u[]; 2*u[]] |
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diff
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|
619 end |
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620 |
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diff
changeset
|
621 @testset "2D" begin |
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diff
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|
622 v = rand(size(g_2D)...) |
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|
623 u = fill(3.124) |
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diff
changeset
|
624 @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14 |
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diff
changeset
|
625 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14 |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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586
diff
changeset
|
626 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14 |
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diff
changeset
|
627 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14 |
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diff
changeset
|
628 |
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|
629 |
631
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diff
changeset
|
630 g_x = rand(size(g_2D)[1]) |
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diff
changeset
|
631 g_y = rand(size(g_2D)[2]) |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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diff
changeset
|
632 |
631
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|
633 G_w = zeros(Float64, size(g_2D)...) |
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|
634 G_w[1,:] = 2*g_y |
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changeset
|
635 G_w[2,:] = g_y |
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diff
changeset
|
636 G_w[3,:] = 3*g_y |
610
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diff
changeset
|
637 |
631
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diff
changeset
|
638 G_e = zeros(Float64, size(g_2D)...) |
fb915bce2228
Fix indentation
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diff
changeset
|
639 G_e[end,:] = 2*g_y |
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diff
changeset
|
640 G_e[end-1,:] = g_y |
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diff
changeset
|
641 G_e[end-2,:] = 3*g_y |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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diff
changeset
|
642 |
631
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changeset
|
643 G_s = zeros(Float64, size(g_2D)...) |
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diff
changeset
|
644 G_s[:,1] = 2*g_x |
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diff
changeset
|
645 G_s[:,2] = g_x |
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diff
changeset
|
646 G_s[:,3] = 3*g_x |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
647 |
631
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diff
changeset
|
648 G_n = zeros(Float64, size(g_2D)...) |
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diff
changeset
|
649 G_n[:,end] = 2*g_x |
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Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
650 G_n[:,end-1] = g_x |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
651 G_n[:,end-2] = 3*g_x |
610
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
652 |
631
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630
diff
changeset
|
653 @test op_w'*g_y == G_w |
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Fix indentation
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diff
changeset
|
654 @test op_e'*g_y == G_e |
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Fix indentation
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630
diff
changeset
|
655 @test op_s'*g_x == G_s |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
656 @test op_n'*g_x == G_n |
610
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
657 end |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
658 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
659 @testset "Regions" begin |
631
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Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
660 u = fill(3.124) |
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changeset
|
661 @test (op_l'*u)[Index(1,Lower)] == 2*u[] |
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|
662 @test (op_l'*u)[Index(2,Lower)] == u[] |
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changeset
|
663 @test (op_l'*u)[Index(6,Interior)] == 0 |
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changeset
|
664 @test (op_l'*u)[Index(10,Upper)] == 0 |
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diff
changeset
|
665 @test (op_l'*u)[Index(11,Upper)] == 0 |
610
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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586
diff
changeset
|
666 |
631
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diff
changeset
|
667 @test (op_r'*u)[Index(1,Lower)] == 0 |
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diff
changeset
|
668 @test (op_r'*u)[Index(2,Lower)] == 0 |
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|
669 @test (op_r'*u)[Index(6,Interior)] == 0 |
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diff
changeset
|
670 @test (op_r'*u)[Index(10,Upper)] == u[] |
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Fix indentation
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diff
changeset
|
671 @test (op_r'*u)[Index(11,Upper)] == 2*u[] |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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diff
changeset
|
672 end |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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586
diff
changeset
|
673 end |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
674 |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
675 @testset "Inferred" begin |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
676 v = ones(Float64, 11) |
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diff
changeset
|
677 u = fill(1.) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
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parents:
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diff
changeset
|
678 |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
679 @inferred apply(op_l, v) |
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680 @inferred apply(op_r, v) |
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|
681 |
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|
682 @inferred apply_transpose(op_l, u, 4) |
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diff
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|
683 @inferred apply_transpose(op_l, u, Index(1,Lower)) |
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diff
changeset
|
684 @inferred apply_transpose(op_l, u, Index(2,Lower)) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
685 @inferred apply_transpose(op_l, u, Index(6,Interior)) |
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diff
changeset
|
686 @inferred apply_transpose(op_l, u, Index(10,Upper)) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
687 @inferred apply_transpose(op_l, u, Index(11,Upper)) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
688 |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
689 @inferred apply_transpose(op_r, u, 4) |
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diff
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|
690 @inferred apply_transpose(op_r, u, Index(1,Lower)) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
691 @inferred apply_transpose(op_r, u, Index(2,Lower)) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
692 @inferred apply_transpose(op_r, u, Index(6,Interior)) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
693 @inferred apply_transpose(op_r, u, Index(10,Upper)) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
694 @inferred apply_transpose(op_r, u, Index(11,Upper)) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
695 end |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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586
diff
changeset
|
696 |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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586
diff
changeset
|
697 end |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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586
diff
changeset
|
698 |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
699 @testset "BoundaryRestriction" begin |
617 | 700 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
701 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
702 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
703 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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630
diff
changeset
|
704 # TODO: These areant really constructors. Better name? |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
705 @testset "Constructors" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
706 @testset "1D" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
707 e_l = BoundaryRestriction(g_1D,op.eClosure,Lower()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
708 @test e_l == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Lower}()) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
709 @test e_l == BoundaryOperator(g_1D,op.eClosure,Lower()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
710 @test e_l isa BoundaryOperator{T,Lower} where T |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
711 @test e_l isa TensorMapping{T,0,1} where T |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
712 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
713 e_r = BoundaryRestriction(g_1D,op.eClosure,Upper()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
714 @test e_r == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
715 @test e_r == BoundaryOperator(g_1D,op.eClosure,Upper()) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
716 @test e_r isa BoundaryOperator{T,Upper} where T |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
717 @test e_r isa TensorMapping{T,0,1} where T |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
718 end |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
719 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
720 @testset "2D" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
721 e_w = BoundaryRestriction(g_2D,op.eClosure,CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
722 @test e_w isa InflatedTensorMapping |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
723 @test e_w isa TensorMapping{T,1,2} where T |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
724 end |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
725 end |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
726 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
727 @testset "Application" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
728 @testset "1D" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
729 e_l = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
730 e_r = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
731 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
732 v = evalOn(g_1D,x->1+x^2) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
733 u = fill(3.124) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
734 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
735 @test (e_l*v)[] == v[1] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
736 @test (e_r*v)[] == v[end] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
737 @test (e_r*v)[1] == v[end] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
738 @test e_l'*u == [u[]; zeros(10)] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
739 @test e_r'*u == [zeros(10); u[]] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
740 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
741 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
742 @testset "2D" begin |
610
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
743 e_w = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
744 e_e = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
745 e_s = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
746 e_n = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
747 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
748 v = rand(11, 15) |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
749 u = fill(3.124) |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
750 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
751 @test e_w*v == v[1,:] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
752 @test e_e*v == v[end,:] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
753 @test e_s*v == v[:,1] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
754 @test e_n*v == v[:,end] |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
755 |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
756 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
757 g_x = rand(11) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
758 g_y = rand(15) |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
759 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
760 G_w = zeros(Float64, (11,15)) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
761 G_w[1,:] = g_y |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
762 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
763 G_e = zeros(Float64, (11,15)) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
764 G_e[end,:] = g_y |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
765 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
766 G_s = zeros(Float64, (11,15)) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
767 G_s[:,1] = g_x |
573
4e2490f568aa
Add tests for apply_transpose and different regions
Jonatan Werpers <jonatan@werpers.com>
parents:
572
diff
changeset
|
768 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
769 G_n = zeros(Float64, (11,15)) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
770 G_n[:,end] = g_x |
573
4e2490f568aa
Add tests for apply_transpose and different regions
Jonatan Werpers <jonatan@werpers.com>
parents:
572
diff
changeset
|
771 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
772 @test e_w'*g_y == G_w |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
773 @test e_e'*g_y == G_e |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
774 @test e_s'*g_x == G_s |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
775 @test e_n'*g_x == G_n |
573
4e2490f568aa
Add tests for apply_transpose and different regions
Jonatan Werpers <jonatan@werpers.com>
parents:
572
diff
changeset
|
776 end |
544
884be64e82d9
Add test case illustrating issue in split_index for region indices.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
519
diff
changeset
|
777 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
778 end |
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
779 |
620
bfc893d03cbf
Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
780 @testset "NormalDerivative" begin |
bfc893d03cbf
Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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781 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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782 g = EquidistantGrid((5,6), (0.0, 0.0), (4.0,5.0)) |
575
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diff
changeset
|
783 |
620
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|
784 d_w = NormalDerivative(g, op.dClosure, CartesianBoundary{1,Lower}()) |
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785 d_e = NormalDerivative(g, op.dClosure, CartesianBoundary{1,Upper}()) |
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786 d_s = NormalDerivative(g, op.dClosure, CartesianBoundary{2,Lower}()) |
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787 d_n = NormalDerivative(g, op.dClosure, CartesianBoundary{2,Upper}()) |
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|
788 |
575
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diff
changeset
|
789 |
620
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|
790 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
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|
791 v∂x = evalOn(g, (x,y)-> 2*x + y) |
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|
792 v∂y = evalOn(g, (x,y)-> 2*(y-1) + x) |
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|
793 |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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|
794 @test d_w isa TensorMapping{T,1,2} where T |
575
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diff
changeset
|
795 |
620
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|
796 @test d_w*v ≈ v∂x[1,:] |
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|
797 @test d_e*v ≈ -v∂x[end,:] |
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|
798 @test d_s*v ≈ v∂y[:,1] |
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|
799 @test d_n*v ≈ -v∂y[:,end] |
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|
800 |
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|
801 |
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changeset
|
802 d_x_l = zeros(Float64, size(g)[1]) |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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|
803 d_x_u = zeros(Float64, size(g)[1]) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
804 for i ∈ eachindex(d_x_l) |
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|
805 d_x_l[i] = op.dClosure[i-1] |
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|
806 d_x_u[i] = op.dClosure[length(d_x_u)-i] |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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562
diff
changeset
|
807 end |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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562
diff
changeset
|
808 |
620
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|
809 d_y_l = zeros(Float64, size(g)[2]) |
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changeset
|
810 d_y_u = zeros(Float64, size(g)[2]) |
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changeset
|
811 for i ∈ eachindex(d_y_l) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
812 d_y_l[i] = op.dClosure[i-1] |
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|
813 d_y_u[i] = op.dClosure[length(d_y_u)-i] |
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diff
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|
814 end |
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619
diff
changeset
|
815 |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
816 function prod_matrix(x,y) |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
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changeset
|
817 G = zeros(Float64, length(x), length(y)) |
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|
818 for I ∈ CartesianIndices(G) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
819 G[I] = x[I[1]]*y[I[2]] |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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619
diff
changeset
|
820 end |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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619
diff
changeset
|
821 |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
822 return G |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
823 end |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
824 |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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619
diff
changeset
|
825 g_x = [1,2,3,4.0,5] |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
826 g_y = [5,4,3,2,1.0,11] |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
827 |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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619
diff
changeset
|
828 G_w = prod_matrix(d_x_l, g_y) |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
829 G_e = prod_matrix(d_x_u, g_y) |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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619
diff
changeset
|
830 G_s = prod_matrix(g_x, d_y_l) |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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619
diff
changeset
|
831 G_n = prod_matrix(g_x, d_y_u) |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
832 |
bfc893d03cbf
Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
833 @test d_w'*g_y ≈ G_w |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
834 @test_broken d_e'*g_y ≈ G_e |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
835 @test d_s'*g_x ≈ G_s |
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Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
836 @test_broken d_n'*g_x ≈ G_n |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
837 end |
314
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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254
diff
changeset
|
838 # |
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254
diff
changeset
|
839 # @testset "BoundaryQuadrature" begin |
594
cc86b920531a
Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents:
586
diff
changeset
|
840 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
314
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
841 # g = EquidistantGrid((10,11), (0.0, 0.0), (1.0,1.0)) |
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Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
842 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
843 # H_w = BoundaryQuadrature(op, g, CartesianBoundary{1,Lower}()) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
844 # H_e = BoundaryQuadrature(op, g, CartesianBoundary{1,Upper}()) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
845 # H_s = BoundaryQuadrature(op, g, CartesianBoundary{2,Lower}()) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
846 # H_n = BoundaryQuadrature(op, g, CartesianBoundary{2,Upper}()) |
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Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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254
diff
changeset
|
847 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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parents:
254
diff
changeset
|
848 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
849 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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parents:
254
diff
changeset
|
850 # function get_quadrature(N) |
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Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
851 # qc = op.quadratureClosure |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
852 # q = (qc..., ones(N-2*closuresize(op))..., reverse(qc)...) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
853 # @assert length(q) == N |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
854 # return q |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
855 # end |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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parents:
254
diff
changeset
|
856 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
857 # v_w = v[1,:] |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
858 # v_e = v[10,:] |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
859 # v_s = v[:,1] |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
860 # v_n = v[:,11] |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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254
diff
changeset
|
861 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
254
diff
changeset
|
862 # q_x = spacing(g)[1].*get_quadrature(10) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
863 # q_y = spacing(g)[2].*get_quadrature(11) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
864 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
865 # @test H_w isa TensorOperator{T,1} where T |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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diff
changeset
|
866 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
867 # @test domain_size(H_w, (3,)) == (3,) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
868 # @test domain_size(H_n, (3,)) == (3,) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
869 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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parents:
254
diff
changeset
|
870 # @test range_size(H_w, (3,)) == (3,) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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diff
changeset
|
871 # @test range_size(H_n, (3,)) == (3,) |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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parents:
254
diff
changeset
|
872 # |
accb0876da12
Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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254
diff
changeset
|
873 # @test size(H_w*v_w) == (11,) |
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874 # @test size(H_e*v_e) == (11,) |
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875 # @test size(H_s*v_s) == (10,) |
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876 # @test size(H_n*v_n) == (10,) |
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877 # |
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878 # @test H_w*v_w .≈ q_y.*v_w |
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879 # @test H_e*v_e .≈ q_y.*v_e |
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880 # @test H_s*v_s .≈ q_x.*v_s |
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881 # @test H_n*v_n .≈ q_x.*v_n |
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882 # |
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Remove collects around TensorMappingApplications
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883 # @test H_w'*v_w == H_w'*v_w |
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884 # @test H_e'*v_e == H_e'*v_e |
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885 # @test H_s'*v_s == H_s'*v_s |
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886 # @test H_n'*v_n == H_n'*v_n |
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887 # end |
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888 |
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Add test sets for each submodule to make the test output nicer
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889 end |