Mercurial > repos > public > sbplib_julia
annotate test/testSbpOperators.jl @ 707:ee1808820929 feature/laplace_opset
Remove obsolete opset from tests
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Mon, 15 Feb 2021 17:59:51 +0100 |
parents | 19301615b340 |
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rev | line source |
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314
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Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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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.even |
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15 import Sbplib.SbpOperators.odd |
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16 |
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17 |
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18 @testset "SbpOperators" begin |
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19 |
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20 @testset "Stencil" begin |
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21 s = Stencil((-2,2), (1.,2.,2.,3.,4.)) |
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22 @test s isa Stencil{Float64, 5} |
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23 |
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24 @test eltype(s) == Float64 |
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25 @test SbpOperators.scale(s, 2) == Stencil((-2,2), (2.,4.,4.,6.,8.)) |
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26 |
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27 @test Stencil(1,2,3,4; center=1) == Stencil((0, 3),(1,2,3,4)) |
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28 @test Stencil(1,2,3,4; center=2) == Stencil((-1, 2),(1,2,3,4)) |
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29 @test Stencil(1,2,3,4; center=4) == Stencil((-3, 0),(1,2,3,4)) |
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30 |
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31 @test CenteredStencil(1,2,3,4,5) == Stencil((-2, 2), (1,2,3,4,5)) |
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32 @test_throws ArgumentError CenteredStencil(1,2,3,4) |
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33 end |
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34 |
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35 @testset "parse_rational" begin |
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36 @test SbpOperators.parse_rational("1") isa Rational |
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37 @test SbpOperators.parse_rational("1") == 1//1 |
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38 @test SbpOperators.parse_rational("1/2") isa Rational |
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39 @test SbpOperators.parse_rational("1/2") == 1//2 |
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40 @test SbpOperators.parse_rational("37/13") isa Rational |
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41 @test SbpOperators.parse_rational("37/13") == 37//13 |
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42 end |
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43 |
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44 @testset "readoperator" begin |
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45 toml_str = """ |
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46 [meta] |
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47 type = "equidistant" |
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48 |
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49 [order2] |
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50 H.inner = ["1"] |
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51 |
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52 D1.inner_stencil = ["-1/2", "0", "1/2"] |
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53 D1.closure_stencils = [ |
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54 ["-1", "1"], |
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55 ] |
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56 |
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57 d1.closure = ["-3/2", "2", "-1/2"] |
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58 |
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59 [order4] |
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60 H.closure = ["17/48", "59/48", "43/48", "49/48"] |
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61 |
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62 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"] |
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63 D2.closure_stencils = [ |
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64 [ "2", "-5", "4", "-1", "0", "0"], |
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65 [ "1", "-2", "1", "0", "0", "0"], |
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66 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], |
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67 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], |
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68 ] |
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69 """ |
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70 |
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71 parsed_toml = TOML.parse(toml_str) |
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72 @testset "get_stencil" begin |
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73 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == Stencil(-1/2, 0., 1/2, center=2) |
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74 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == Stencil(-1/2, 0., 1/2; center=1) |
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75 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == Stencil(-1/2, 0., 1/2; center=3) |
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76 |
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77 @test get_stencil(parsed_toml, "order2", "H", "inner") == Stencil(1.; center=1) |
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78 |
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79 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type") |
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80 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils") |
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81 end |
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82 |
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83 @testset "get_stencils" begin |
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84 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (Stencil(-1., 1., center=1),) |
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85 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (Stencil(-1., 1., center=2),) |
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86 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (Stencil(-1., 1., center=2),) |
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87 |
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88 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == ( |
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89 Stencil( 2., -5., 4., -1., 0., 0., center=1), |
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90 Stencil( 1., -2., 1., 0., 0., 0., center=1), |
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91 Stencil( -4/43, 59/43, -110/43, 59/43, -4/43, 0., center=1), |
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92 Stencil( -1/49, 0., 59/49, -118/49, 64/49, -4/49, center=1), |
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93 ) |
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94 |
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95 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == ( |
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96 Stencil( 2., -5., 4., -1., 0., 0., center=4), |
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97 Stencil( 1., -2., 1., 0., 0., 0., center=2), |
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98 Stencil( -4/43, 59/43, -110/43, 59/43, -4/43, 0., center=3), |
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99 Stencil( -1/49, 0., 59/49, -118/49, 64/49, -4/49, center=1), |
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100 ) |
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101 |
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102 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == ( |
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103 Stencil( 2., -5., 4., -1., 0., 0., center=1), |
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104 Stencil( 1., -2., 1., 0., 0., 0., center=2), |
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105 Stencil( -4/43, 59/43, -110/43, 59/43, -4/43, 0., center=3), |
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106 Stencil( -1/49, 0., 59/49, -118/49, 64/49, -4/49, center=4), |
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107 ) |
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108 |
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109 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3)) |
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110 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4)) |
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111 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2)) |
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112 end |
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113 |
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114 @testset "get_tuple" begin |
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115 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2) |
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116 |
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117 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type") |
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118 end |
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119 end |
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120 |
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121 @testset "VolumeOperator" begin |
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122 inner_stencil = CenteredStencil(1/4, 2/4, 1/4) |
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123 closure_stencils = (Stencil(1/2, 1/2; center=1), Stencil(0.,1.; center=2)) |
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124 g_1D = EquidistantGrid(11,0.,1.) |
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125 g_2D = EquidistantGrid((11,12),(0.,0.),(1.,1.)) |
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126 g_3D = EquidistantGrid((11,12,10),(0.,0.,0.),(1.,1.,1.)) |
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127 @testset "Constructors" begin |
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128 @testset "1D" begin |
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129 op = VolumeOperator(inner_stencil,closure_stencils,(11,),even) |
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130 @test op == VolumeOperator(g_1D,inner_stencil,closure_stencils,even) |
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131 @test op == volume_operator(g_1D,inner_stencil,closure_stencils,even,1) |
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132 @test op isa TensorMapping{T,1,1} where T |
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133 end |
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134 @testset "2D" begin |
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135 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1) |
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136 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,even,2) |
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137 Ix = IdentityMapping{Float64}((11,)) |
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138 Iy = IdentityMapping{Float64}((12,)) |
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139 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),even)⊗Iy |
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140 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),even) |
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141 @test op_x isa TensorMapping{T,2,2} where T |
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142 @test op_y isa TensorMapping{T,2,2} where T |
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143 end |
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144 @testset "3D" begin |
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145 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,even,1) |
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146 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,even,2) |
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147 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,even,3) |
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148 Ix = IdentityMapping{Float64}((11,)) |
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149 Iy = IdentityMapping{Float64}((12,)) |
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150 Iz = IdentityMapping{Float64}((10,)) |
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151 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),even)⊗Iy⊗Iz |
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152 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),even)⊗Iz |
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153 @test op_z == Ix⊗Iy⊗VolumeOperator(inner_stencil,closure_stencils,(10,),even) |
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154 @test op_x isa TensorMapping{T,3,3} where T |
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155 @test op_y isa TensorMapping{T,3,3} where T |
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156 @test op_z isa TensorMapping{T,3,3} where T |
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157 end |
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158 end |
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159 |
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160 @testset "Sizes" begin |
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161 @testset "1D" begin |
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162 op = volume_operator(g_1D,inner_stencil,closure_stencils,even,1) |
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163 @test range_size(op) == domain_size(op) == size(g_1D) |
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164 end |
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165 |
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166 @testset "2D" begin |
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167 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1) |
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168 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,even,2) |
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169 @test range_size(op_y) == domain_size(op_y) == |
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170 range_size(op_x) == domain_size(op_x) == size(g_2D) |
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171 end |
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172 @testset "3D" begin |
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173 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,even,1) |
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174 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,even,2) |
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175 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,even,3) |
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176 @test range_size(op_z) == domain_size(op_z) == |
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177 range_size(op_y) == domain_size(op_y) == |
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178 range_size(op_x) == domain_size(op_x) == size(g_3D) |
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179 end |
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180 end |
219
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181 |
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182 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1) |
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183 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,odd,2) |
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184 v = zeros(size(g_2D)) |
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185 Nx = size(g_2D)[1] |
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186 Ny = size(g_2D)[2] |
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187 for i = 1:Nx |
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188 v[i,:] .= i |
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189 end |
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190 rx = copy(v) |
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191 rx[1,:] .= 1.5 |
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192 rx[Nx,:] .= (2*Nx-1)/2 |
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193 ry = copy(v) |
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194 ry[:,Ny-1:Ny] = -v[:,Ny-1:Ny] |
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195 |
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196 @testset "Application" begin |
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197 @test op_x*v ≈ rx rtol = 1e-14 |
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198 @test op_y*v ≈ ry rtol = 1e-14 |
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200 |
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201 @testset "Regions" begin |
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202 @test (op_x*v)[Index(1,Lower),Index(3,Interior)] ≈ rx[1,3] rtol = 1e-14 |
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203 @test (op_x*v)[Index(2,Lower),Index(3,Interior)] ≈ rx[2,3] rtol = 1e-14 |
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204 @test (op_x*v)[Index(6,Interior),Index(3,Interior)] ≈ rx[6,3] rtol = 1e-14 |
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205 @test (op_x*v)[Index(10,Upper),Index(3,Interior)] ≈ rx[10,3] rtol = 1e-14 |
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206 @test (op_x*v)[Index(11,Upper),Index(3,Interior)] ≈ rx[11,3] rtol = 1e-14 |
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207 |
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208 @test_throws BoundsError (op_x*v)[Index(3,Lower),Index(3,Interior)] |
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209 @test_throws BoundsError (op_x*v)[Index(9,Upper),Index(3,Interior)] |
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210 |
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211 @test (op_y*v)[Index(3,Interior),Index(1,Lower)] ≈ ry[3,1] rtol = 1e-14 |
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212 @test (op_y*v)[Index(3,Interior),Index(2,Lower)] ≈ ry[3,2] rtol = 1e-14 |
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213 @test (op_y*v)[Index(3,Interior),Index(6,Interior)] ≈ ry[3,6] rtol = 1e-14 |
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214 @test (op_y*v)[Index(3,Interior),Index(11,Upper)] ≈ ry[3,11] rtol = 1e-14 |
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215 @test (op_y*v)[Index(3,Interior),Index(12,Upper)] ≈ ry[3,12] rtol = 1e-14 |
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216 |
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217 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(10,Upper)] |
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218 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(3,Lower)] |
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219 end |
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220 |
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221 @testset "Inferred" begin |
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222 @inferred apply(op_x, v,1,1) |
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223 @inferred apply(op_x, v, Index(1,Lower),Index(1,Lower)) |
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224 @inferred apply(op_x, v, Index(6,Interior),Index(1,Lower)) |
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225 @inferred apply(op_x, v, Index(11,Upper),Index(1,Lower)) |
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226 |
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227 @inferred apply(op_y, v,1,1) |
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228 @inferred apply(op_y, v, Index(1,Lower),Index(1,Lower)) |
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229 @inferred apply(op_y, v, Index(1,Lower),Index(6,Interior)) |
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230 @inferred apply(op_y, v, Index(1,Lower),Index(11,Upper)) |
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231 end |
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232 |
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233 end |
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234 |
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235 @testset "SecondDerivative" begin |
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236 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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237 Lx = 3.5 |
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238 Ly = 3. |
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239 g_1D = EquidistantGrid(121, 0.0, Lx) |
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240 g_2D = EquidistantGrid((121,123), (0.0, 0.0), (Lx, Ly)) |
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241 |
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242 @testset "Constructors" begin |
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243 @testset "1D" begin |
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244 Dₓₓ = second_derivative(g_1D,op.innerStencil,op.closureStencils) |
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245 @test Dₓₓ == second_derivative(g_1D,op.innerStencil,op.closureStencils,1) |
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246 @test Dₓₓ isa VolumeOperator |
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247 end |
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248 @testset "2D" begin |
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249 Dₓₓ = second_derivative(g_2D,op.innerStencil,op.closureStencils,1) |
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250 D2 = second_derivative(g_1D,op.innerStencil,op.closureStencils) |
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251 I = IdentityMapping{Float64}(size(g_2D)[2]) |
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252 @test Dₓₓ == D2⊗I |
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253 @test Dₓₓ isa TensorMapping{T,2,2} where T |
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254 end |
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255 end |
314
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256 |
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257 # Exact differentiation is measured point-wise. In other cases |
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258 # the error is measured in the l2-norm. |
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259 @testset "Accuracy" begin |
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260 @testset "1D" begin |
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261 l2(v) = sqrt(spacing(g_1D)[1]*sum(v.^2)); |
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262 monomials = () |
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263 maxOrder = 4; |
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264 for i = 0:maxOrder-1 |
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265 f_i(x) = 1/factorial(i)*x^i |
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266 monomials = (monomials...,evalOn(g_1D,f_i)) |
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267 end |
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268 v = evalOn(g_1D,x -> sin(x)) |
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269 vₓₓ = evalOn(g_1D,x -> -sin(x)) |
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270 |
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271 # 2nd order interior stencil, 1nd order boundary stencil, |
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272 # implies that L*v should be exact for monomials up to order 2. |
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273 @testset "2nd order" begin |
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274 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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275 Dₓₓ = second_derivative(g_1D,op.innerStencil,op.closureStencils) |
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276 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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277 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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278 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10 |
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279 @test Dₓₓ*v ≈ vₓₓ rtol = 5e-2 norm = l2 |
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280 end |
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281 |
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282 # 4th order interior stencil, 2nd order boundary stencil, |
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283 # implies that L*v should be exact for monomials up to order 3. |
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284 @testset "4th order" begin |
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285 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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286 Dₓₓ = second_derivative(g_1D,op.innerStencil,op.closureStencils) |
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287 # NOTE: high tolerances for checking the "exact" differentiation |
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288 # due to accumulation of round-off errors/cancellation errors? |
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289 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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290 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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291 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10 |
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292 @test Dₓₓ*monomials[4] ≈ monomials[2] atol = 5e-10 |
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293 @test Dₓₓ*v ≈ vₓₓ rtol = 5e-4 norm = l2 |
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294 end |
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295 end |
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296 |
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297 @testset "2D" begin |
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298 l2(v) = sqrt(prod(spacing(g_2D))*sum(v.^2)); |
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299 binomials = () |
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300 maxOrder = 4; |
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301 for i = 0:maxOrder-1 |
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302 f_i(x,y) = 1/factorial(i)*y^i + x^i |
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303 binomials = (binomials...,evalOn(g_2D,f_i)) |
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304 end |
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305 v = evalOn(g_2D, (x,y) -> sin(x)+cos(y)) |
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306 v_yy = evalOn(g_2D,(x,y) -> -cos(y)) |
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307 |
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308 # 2nd order interior stencil, 1st order boundary stencil, |
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309 # implies that L*v should be exact for binomials up to order 2. |
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310 @testset "2nd order" begin |
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311 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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312 Dyy = second_derivative(g_2D,op.innerStencil,op.closureStencils,2) |
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313 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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314 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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315 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9 |
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316 @test Dyy*v ≈ v_yy rtol = 5e-2 norm = l2 |
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317 end |
314
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318 |
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319 # 4th order interior stencil, 2nd order boundary stencil, |
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320 # implies that L*v should be exact for binomials up to order 3. |
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321 @testset "4th order" begin |
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322 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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323 Dyy = second_derivative(g_2D,op.innerStencil,op.closureStencils,2) |
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324 # NOTE: high tolerances for checking the "exact" differentiation |
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325 # due to accumulation of round-off errors/cancellation errors? |
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326 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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327 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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328 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9 |
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329 @test Dyy*binomials[4] ≈ evalOn(g_2D,(x,y)->y) atol = 5e-9 |
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330 @test Dyy*v ≈ v_yy rtol = 5e-4 norm = l2 |
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331 end |
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332 end |
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333 end |
314
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334 end |
254
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335 |
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336 @testset "Laplace" begin |
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337 g_1D = EquidistantGrid(101, 0.0, 1.) |
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338 g_3D = EquidistantGrid((51,101,52), (0.0, -1.0, 0.0), (1., 1., 1.)) |
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339 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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340 @testset "Constructors" begin |
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341 |
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342 @testset "1D" begin |
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343 # Create all tensor mappings included in Laplace |
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344 Δ = laplace(g_1D, op.innerStencil, op.closureStencils) |
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345 H = inner_product(g_1D, op.quadratureClosure) |
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346 Hi = inverse_inner_product(g_1D, op.quadratureClosure) |
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347 |
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348 (id_l, id_r) = boundary_identifiers(g_1D) |
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349 |
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350 e_l = boundary_restriction(g_1D,op.eClosure,id_l) |
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351 e_r = boundary_restriction(g_1D,op.eClosure,id_r) |
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352 e_dict = Dict(Pair(id_l,e_l),Pair(id_r,e_r)) |
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353 |
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354 d_l = normal_derivative(g_1D,op.dClosure,id_l) |
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355 d_r = normal_derivative(g_1D,op.dClosure,id_r) |
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356 d_dict = Dict(Pair(id_l,d_l),Pair(id_r,d_r)) |
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357 |
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358 H_l = inner_product(boundary_grid(g_1D,id_l),op.quadratureClosure) |
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359 H_r = inner_product(boundary_grid(g_1D,id_r),op.quadratureClosure) |
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360 Hb_dict = Dict(Pair(id_l,H_l),Pair(id_r,H_r)) |
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361 |
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362 L = Laplace(g_1D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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363 @test cmp_fields(L,Laplace(Δ,H,Hi,e_dict,d_dict,Hb_dict)) |
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364 @test L isa TensorMapping{T,1,1} where T |
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365 @inferred Laplace(Δ,H,Hi,e_dict,d_dict,Hb_dict) |
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366 end |
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367 @testset "3D" begin |
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368 # Create all tensor mappings included in Laplace |
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369 Δ = laplace(g_3D, op.innerStencil, op.closureStencils) |
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370 H = inner_product(g_3D, op.quadratureClosure) |
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371 Hi = inverse_inner_product(g_3D, op.quadratureClosure) |
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372 |
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373 (id_l, id_r, id_s, id_n, id_b, id_t) = boundary_identifiers(g_3D) |
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374 |
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375 e_l = boundary_restriction(g_3D,op.eClosure,id_l) |
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376 e_r = boundary_restriction(g_3D,op.eClosure,id_r) |
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377 e_s = boundary_restriction(g_3D,op.eClosure,id_s) |
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378 e_n = boundary_restriction(g_3D,op.eClosure,id_n) |
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379 e_b = boundary_restriction(g_3D,op.eClosure,id_b) |
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380 e_t = boundary_restriction(g_3D,op.eClosure,id_t) |
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381 e_dict = Dict(Pair(id_l,e_l),Pair(id_r,e_r), |
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382 Pair(id_s,e_s),Pair(id_n,e_n), |
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383 Pair(id_b,e_b),Pair(id_t,e_t)) |
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384 |
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385 d_l = normal_derivative(g_3D,op.dClosure,id_l) |
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386 d_r = normal_derivative(g_3D,op.dClosure,id_r) |
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387 d_s = normal_derivative(g_3D,op.dClosure,id_s) |
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388 d_n = normal_derivative(g_3D,op.dClosure,id_n) |
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389 d_b = normal_derivative(g_3D,op.dClosure,id_b) |
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390 d_t = normal_derivative(g_3D,op.dClosure,id_t) |
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391 d_dict = Dict(Pair(id_l,d_l),Pair(id_r,d_r), |
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392 Pair(id_s,d_s),Pair(id_n,d_n), |
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393 Pair(id_b,d_b),Pair(id_t,d_t)) |
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394 |
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395 H_l = inner_product(boundary_grid(g_3D,id_l),op.quadratureClosure) |
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396 H_r = inner_product(boundary_grid(g_3D,id_r),op.quadratureClosure) |
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397 H_s = inner_product(boundary_grid(g_3D,id_s),op.quadratureClosure) |
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398 H_n = inner_product(boundary_grid(g_3D,id_n),op.quadratureClosure) |
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399 H_b = inner_product(boundary_grid(g_3D,id_b),op.quadratureClosure) |
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400 H_t = inner_product(boundary_grid(g_3D,id_t),op.quadratureClosure) |
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401 Hb_dict = Dict(Pair(id_l,H_l),Pair(id_r,H_r), |
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402 Pair(id_s,H_s),Pair(id_n,H_n), |
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403 Pair(id_b,H_b),Pair(id_t,H_t)) |
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404 |
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405 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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406 @test cmp_fields(L,Laplace(Δ,H,Hi,e_dict,d_dict,Hb_dict)) |
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407 @test L isa TensorMapping{T,3,3} where T |
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408 @inferred Laplace(Δ,H,Hi,e_dict,d_dict,Hb_dict) |
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409 end |
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410 end |
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411 |
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412 @testset "laplace" begin |
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413 @testset "1D" begin |
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414 L = laplace(g_1D, op.innerStencil, op.closureStencils) |
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415 @test L == second_derivative(g_1D, op.innerStencil, op.closureStencils) |
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416 @test L isa TensorMapping{T,1,1} where T |
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417 end |
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418 @testset "3D" begin |
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419 L = laplace(g_3D, op.innerStencil, op.closureStencils) |
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420 @test L isa TensorMapping{T,3,3} where T |
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421 Dxx = second_derivative(g_3D, op.innerStencil, op.closureStencils,1) |
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422 Dyy = second_derivative(g_3D, op.innerStencil, op.closureStencils,2) |
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423 Dzz = second_derivative(g_3D, op.innerStencil, op.closureStencils,3) |
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424 @test L == Dxx + Dyy + Dzz |
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425 @test L isa TensorMapping{T,3,3} where T |
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426 end |
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427 end |
356
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428 |
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429 @testset "inner_product" begin |
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430 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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431 @test inner_product(L) == inner_product(g_3D,op.quadratureClosure) |
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432 end |
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433 |
705
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434 @testset "inverse_inner_product" begin |
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435 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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436 @test inverse_inner_product(L) == inverse_inner_product(g_3D,op.quadratureClosure) |
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437 end |
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438 |
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439 @testset "boundary_restriction" begin |
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440 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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441 id_l = CartesianBoundary{1,Lower}() |
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442 id_r = CartesianBoundary{1,Upper}() |
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443 id_s = CartesianBoundary{2,Lower}() |
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444 id_n = CartesianBoundary{2,Upper}() |
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445 id_b = CartesianBoundary{3,Lower}() |
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446 id_t = CartesianBoundary{3,Upper}() |
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447 @test boundary_restriction(L,id_l) == boundary_restriction(g_3D,op.eClosure,id_l) |
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448 @test boundary_restriction(L,id_r) == boundary_restriction(g_3D,op.eClosure,id_r) |
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449 @test boundary_restriction(L,id_s) == boundary_restriction(g_3D,op.eClosure,id_s) |
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450 @test boundary_restriction(L,id_n) == boundary_restriction(g_3D,op.eClosure,id_n) |
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451 @test boundary_restriction(L,id_b) == boundary_restriction(g_3D,op.eClosure,id_b) |
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452 @test boundary_restriction(L,id_t) == boundary_restriction(g_3D,op.eClosure,id_t) |
678
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453 end |
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454 |
705
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455 @testset "normal_derivative" begin |
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456 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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457 id_l = CartesianBoundary{1,Lower}() |
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458 id_r = CartesianBoundary{1,Upper}() |
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459 id_s = CartesianBoundary{2,Lower}() |
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460 id_n = CartesianBoundary{2,Upper}() |
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461 id_b = CartesianBoundary{3,Lower}() |
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462 id_t = CartesianBoundary{3,Upper}() |
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463 @test normal_derivative(L,id_l) == normal_derivative(g_3D,op.dClosure,id_l) |
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464 @test normal_derivative(L,id_r) == normal_derivative(g_3D,op.dClosure,id_r) |
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465 @test normal_derivative(L,id_s) == normal_derivative(g_3D,op.dClosure,id_s) |
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466 @test normal_derivative(L,id_n) == normal_derivative(g_3D,op.dClosure,id_n) |
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467 @test normal_derivative(L,id_b) == normal_derivative(g_3D,op.dClosure,id_b) |
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468 @test normal_derivative(L,id_t) == normal_derivative(g_3D,op.dClosure,id_t) |
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469 end |
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470 |
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471 @testset "boundary_quadrature" begin |
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472 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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473 id_l = CartesianBoundary{1,Lower}() |
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474 id_r = CartesianBoundary{1,Upper}() |
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475 id_s = CartesianBoundary{2,Lower}() |
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476 id_n = CartesianBoundary{2,Upper}() |
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477 id_b = CartesianBoundary{3,Lower}() |
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478 id_t = CartesianBoundary{3,Upper}() |
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479 @test boundary_quadrature(L,id_l) == inner_product(boundary_grid(g_3D,id_l),op.quadratureClosure) |
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480 @test boundary_quadrature(L,id_r) == inner_product(boundary_grid(g_3D,id_r),op.quadratureClosure) |
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481 @test boundary_quadrature(L,id_s) == inner_product(boundary_grid(g_3D,id_s),op.quadratureClosure) |
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482 @test boundary_quadrature(L,id_n) == inner_product(boundary_grid(g_3D,id_n),op.quadratureClosure) |
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483 @test boundary_quadrature(L,id_b) == inner_product(boundary_grid(g_3D,id_b),op.quadratureClosure) |
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484 @test boundary_quadrature(L,id_t) == inner_product(boundary_grid(g_3D,id_t),op.quadratureClosure) |
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485 end |
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486 |
643
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487 # Exact differentiation is measured point-wise. In other cases |
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488 # the error is measured in the l2-norm. |
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489 @testset "Accuracy" begin |
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|
490 l2(v) = sqrt(prod(spacing(g_3D))*sum(v.^2)); |
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491 polynomials = () |
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492 maxOrder = 4; |
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493 for i = 0:maxOrder-1 |
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494 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i) |
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495 polynomials = (polynomials...,evalOn(g_3D,f_i)) |
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496 end |
643
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diff
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497 v = evalOn(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z)) |
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Add tests for SecondDerivative and Laplace for 2nd order accurate case
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diff
changeset
|
498 Δv = evalOn(g_3D,(x,y,z) -> -sin(x) - cos(y) + exp(z)) |
314
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
|
499 |
643
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Add tests for SecondDerivative and Laplace for 2nd order accurate case
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diff
changeset
|
500 # 2nd order interior stencil, 1st order boundary stencil, |
0928bbc3ee8b
Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
501 # implies that L*v should be exact for binomials up to order 2. |
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Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
502 @testset "2nd order" begin |
706
19301615b340
Use the Laplace struct in tests for accuracy
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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705
diff
changeset
|
503 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=2) |
643
0928bbc3ee8b
Add tests for SecondDerivative and Laplace for 2nd order accurate case
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diff
changeset
|
504 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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Add tests for SecondDerivative and Laplace for 2nd order accurate case
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diff
changeset
|
505 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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changeset
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506 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9 |
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Add tests for SecondDerivative and Laplace for 2nd order accurate case
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diff
changeset
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507 @test L*v ≈ Δv rtol = 5e-2 norm = l2 |
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Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
508 end |
254
4ca3794fffef
Add apply_quadrature to SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents:
219
diff
changeset
|
509 |
630
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510 # 4th order interior stencil, 2nd order boundary stencil, |
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511 # implies that L*v should be exact for binomials up to order 3. |
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512 @testset "4th order" begin |
706
19301615b340
Use the Laplace struct in tests for accuracy
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
513 L = Laplace(g_3D, sbp_operators_path()*"standard_diagonal.toml"; order=4) |
649
351937390162
Clean up testSbpOperators (remove some redundat tests, remove todos and fix use of Parity)
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
514 # NOTE: high tolerances for checking the "exact" differentiation |
630
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|
515 # due to accumulation of round-off errors/cancellation errors? |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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516 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
9f0f1ace5101
Add tests for Laplace
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517 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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|
518 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9 |
9f0f1ace5101
Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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629
diff
changeset
|
519 @test L*polynomials[4] ≈ polynomials[2] atol = 5e-9 |
643
0928bbc3ee8b
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
520 @test L*v ≈ Δv rtol = 5e-4 norm = l2 |
630
9f0f1ace5101
Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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629
diff
changeset
|
521 end |
9f0f1ace5101
Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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629
diff
changeset
|
522 end |
254
4ca3794fffef
Add apply_quadrature to SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents:
219
diff
changeset
|
523 end |
328
9cc5d1498b2d
Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
314
diff
changeset
|
524 |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
525 @testset "Diagonal-stencil inner_product" begin |
551
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
505
diff
changeset
|
526 Lx = π/2. |
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
505
diff
changeset
|
527 Ly = Float64(π) |
670
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
528 Lz = 1. |
551
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
505
diff
changeset
|
529 g_1D = EquidistantGrid(77, 0.0, Lx) |
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
505
diff
changeset
|
530 g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
670
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
531 g_3D = EquidistantGrid((10,10, 10), (0.0, 0.0, 0.0), (Lx,Ly,Lz)) |
553
d5c45785d318
Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
552
diff
changeset
|
532 integral(H,v) = sum(H*v) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
533 @testset "inner_product" begin |
670
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
534 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
681
43cf58c69f91
Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
675
diff
changeset
|
535 @testset "0D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
536 H = inner_product(EquidistantGrid{Float64}(),op.quadratureClosure) |
681
43cf58c69f91
Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
675
diff
changeset
|
537 @test H == IdentityMapping{Float64}() |
43cf58c69f91
Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
675
diff
changeset
|
538 @test H isa TensorMapping{T,0,0} where T |
43cf58c69f91
Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
675
diff
changeset
|
539 end |
670
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
540 @testset "1D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
541 H = inner_product(g_1D,op.quadratureClosure) |
675 | 542 inner_stencil = CenteredStencil(1.) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
543 @test H == inner_product(g_1D,op.quadratureClosure,inner_stencil) |
670
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
544 @test H isa TensorMapping{T,1,1} where T |
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
545 end |
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
546 @testset "2D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
547 H = inner_product(g_2D,op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
548 H_x = inner_product(restrict(g_2D,1),op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
549 H_y = inner_product(restrict(g_2D,2),op.quadratureClosure) |
670
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
550 @test H == H_x⊗H_y |
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
551 @test H isa TensorMapping{T,2,2} where T |
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
552 end |
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
553 end |
538ccbaeb1f8
Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
649
diff
changeset
|
554 |
551
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
505
diff
changeset
|
555 @testset "Sizes" begin |
643
0928bbc3ee8b
Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
642
diff
changeset
|
556 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
638
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
557 @testset "1D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
558 H = inner_product(g_1D,op.quadratureClosure) |
638
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
559 @test domain_size(H) == size(g_1D) |
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
560 @test range_size(H) == size(g_1D) |
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
561 end |
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
562 @testset "2D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
563 H = inner_product(g_2D,op.quadratureClosure) |
638
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
564 @test domain_size(H) == size(g_2D) |
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
565 @test range_size(H) == size(g_2D) |
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
566 end |
551
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
505
diff
changeset
|
567 end |
328
9cc5d1498b2d
Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
314
diff
changeset
|
568 |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
569 @testset "Accuracy" begin |
638
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
570 @testset "1D" begin |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
571 v = () |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
572 for i = 0:4 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
573 f_i(x) = 1/factorial(i)*x^i |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
574 v = (v...,evalOn(g_1D,f_i)) |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
575 end |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
576 u = evalOn(g_1D,x->sin(x)) |
382
5c10cd0ed1fe
testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents:
379
diff
changeset
|
577 |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
578 @testset "2nd order" begin |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
579 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
580 H = inner_product(g_1D,op.quadratureClosure) |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
581 for i = 1:2 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
582 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
583 end |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
584 @test integral(H,u) ≈ 1. rtol = 1e-4 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
585 end |
553
d5c45785d318
Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
552
diff
changeset
|
586 |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
587 @testset "4th order" begin |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
588 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
589 H = inner_product(g_1D,op.quadratureClosure) |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
590 for i = 1:4 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
591 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
592 end |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
593 @test integral(H,u) ≈ 1. rtol = 1e-8 |
638
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
594 end |
553
d5c45785d318
Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
552
diff
changeset
|
595 end |
d5c45785d318
Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
552
diff
changeset
|
596 |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
597 @testset "2D" begin |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
598 b = 2.1 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
599 v = b*ones(Float64, size(g_2D)) |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
600 u = evalOn(g_2D,(x,y)->sin(x)+cos(y)) |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
601 @testset "2nd order" begin |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
602 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
603 H = inner_product(g_2D,op.quadratureClosure) |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
604 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
605 @test integral(H,u) ≈ π rtol = 1e-4 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
606 end |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
607 @testset "4th order" begin |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
608 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
609 H = inner_product(g_2D,op.quadratureClosure) |
641
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
610 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
638
diff
changeset
|
611 @test integral(H,u) ≈ π rtol = 1e-8 |
638
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
612 end |
08b2c7a2d063
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
634
diff
changeset
|
613 end |
551
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
505
diff
changeset
|
614 end |
328
9cc5d1498b2d
Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
314
diff
changeset
|
615 end |
9cc5d1498b2d
Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
314
diff
changeset
|
616 |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
617 @testset "Diagonal-stencil inverse_inner_product" begin |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
618 Lx = π/2. |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
619 Ly = Float64(π) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
620 g_1D = EquidistantGrid(77, 0.0, Lx) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
621 g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
622 @testset "inverse_inner_product" begin |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
623 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
698
5ddf28ddee18
Test inverse_inner_product on 0-dimensional grid
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
697
diff
changeset
|
624 @testset "0D" begin |
5ddf28ddee18
Test inverse_inner_product on 0-dimensional grid
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
697
diff
changeset
|
625 Hi = inverse_inner_product(EquidistantGrid{Float64}(),op.quadratureClosure) |
5ddf28ddee18
Test inverse_inner_product on 0-dimensional grid
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
697
diff
changeset
|
626 @test Hi == IdentityMapping{Float64}() |
5ddf28ddee18
Test inverse_inner_product on 0-dimensional grid
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
697
diff
changeset
|
627 @test Hi isa TensorMapping{T,0,0} where T |
5ddf28ddee18
Test inverse_inner_product on 0-dimensional grid
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
697
diff
changeset
|
628 end |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
629 @testset "1D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
630 Hi = inverse_inner_product(g_1D, op.quadratureClosure); |
671
e14627e79a54
Add stencil constructor for centered stencils and change from tuple to vararg in stencil constructor taking cneter
Jonatan Werpers <jonatan@werpers.com>
parents:
649
diff
changeset
|
631 inner_stencil = CenteredStencil(1.) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
632 closures = () |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
633 for i = 1:length(op.quadratureClosure) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
634 closures = (closures...,Stencil(op.quadratureClosure[i].range,1.0./op.quadratureClosure[i].weights)) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
635 end |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
636 @test Hi == inverse_inner_product(g_1D,closures,inner_stencil) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
637 @test Hi isa TensorMapping{T,1,1} where T |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
638 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
639 @testset "2D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
640 Hi = inverse_inner_product(g_2D,op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
641 Hi_x = inverse_inner_product(restrict(g_2D,1),op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
642 Hi_y = inverse_inner_product(restrict(g_2D,2),op.quadratureClosure) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
643 @test Hi == Hi_x⊗Hi_y |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
644 @test Hi isa TensorMapping{T,2,2} where T |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
645 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
646 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
647 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
648 @testset "Sizes" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
649 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
650 @testset "1D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
651 Hi = inverse_inner_product(g_1D,op.quadratureClosure) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
652 @test domain_size(Hi) == size(g_1D) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
653 @test range_size(Hi) == size(g_1D) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
654 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
655 @testset "2D" begin |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
656 Hi = inverse_inner_product(g_2D,op.quadratureClosure) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
657 @test domain_size(Hi) == size(g_2D) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
658 @test range_size(Hi) == size(g_2D) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
659 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
660 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
661 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
662 @testset "Accuracy" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
663 @testset "1D" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
664 v = evalOn(g_1D,x->sin(x)) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
665 u = evalOn(g_1D,x->x^3-x^2+1) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
666 @testset "2nd order" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
667 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
668 H = inner_product(g_1D,op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
669 Hi = inverse_inner_product(g_1D,op.quadratureClosure) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
670 @test Hi*H*v ≈ v rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
671 @test Hi*H*u ≈ u rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
672 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
673 @testset "4th order" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
674 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
675 H = inner_product(g_1D,op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
676 Hi = inverse_inner_product(g_1D,op.quadratureClosure) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
677 @test Hi*H*v ≈ v rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
678 @test Hi*H*u ≈ u rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
679 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
680 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
681 @testset "2D" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
682 v = evalOn(g_2D,(x,y)->sin(x)+cos(y)) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
683 u = evalOn(g_2D,(x,y)->x*y + x^5 - sqrt(y)) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
684 @testset "2nd order" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
685 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
686 H = inner_product(g_2D,op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
687 Hi = inverse_inner_product(g_2D,op.quadratureClosure) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
688 @test Hi*H*v ≈ v rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
689 @test Hi*H*u ≈ u rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
690 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
691 @testset "4th order" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
692 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
697
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
693 H = inner_product(g_2D,op.quadratureClosure) |
1b3b8f82349e
Update tests for inner_product and inverse_inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
694
diff
changeset
|
694 Hi = inverse_inner_product(g_2D,op.quadratureClosure) |
642
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
695 @test Hi*H*v ≈ v rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
696 @test Hi*H*u ≈ u rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
697 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
698 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
699 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
700 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
701 |
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
|
702 @testset "BoundaryOperator" begin |
617 | 703 closure_stencil = Stencil((0,2), (2.,1.,3.)) |
568
34d9e10f0001
Make grid larger in test to make sure there all kinds of regions are represented
Jonatan Werpers <jonatan@werpers.com>
parents:
567
diff
changeset
|
704 g_1D = EquidistantGrid(11, 0.0, 1.0) |
34d9e10f0001
Make grid larger in test to make sure there all kinds of regions are represented
Jonatan Werpers <jonatan@werpers.com>
parents:
567
diff
changeset
|
705 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
706 |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
707 @testset "Constructors" begin |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
708 @testset "1D" 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
|
709 op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1]) |
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 op_l == BoundaryOperator(g_1D,closure_stencil,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
|
711 @test op_l == boundary_operator(g_1D,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>
parents:
586
diff
changeset
|
712 @test op_l isa TensorMapping{T,0,1} where T |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
713 |
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
|
714 op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1]) |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
715 @test op_r == BoundaryOperator(g_1D,closure_stencil,Upper()) |
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
|
716 @test op_r == boundary_operator(g_1D,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>
parents:
586
diff
changeset
|
717 @test op_r isa TensorMapping{T,0,1} where T |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
718 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
719 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
720 @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
|
721 e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}()) |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
722 @test e_w isa InflatedTensorMapping |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
723 @test e_w isa TensorMapping{T,1,2} where T |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
724 end |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
725 end |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
726 |
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
|
727 op_l = boundary_operator(g_1D, 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>
parents:
586
diff
changeset
|
728 op_r = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Upper}()) |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
729 |
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
|
730 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>
parents:
586
diff
changeset
|
731 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>
parents:
586
diff
changeset
|
732 op_s = boundary_operator(g_2D, closure_stencil, 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
|
733 op_n = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Upper}()) |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
734 |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
735 @testset "Sizes" begin |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
736 @testset "1D" 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
|
737 @test domain_size(op_l) == (11,) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
738 @test domain_size(op_r) == (11,) |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
739 |
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
|
740 @test range_size(op_l) == () |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
741 @test range_size(op_r) == () |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
742 end |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
743 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
744 @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
|
745 @test domain_size(op_w) == (11,15) |
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 @test domain_size(op_e) == (11,15) |
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 @test domain_size(op_s) == (11,15) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
748 @test domain_size(op_n) == (11,15) |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
749 |
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
|
750 @test range_size(op_w) == (15,) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
751 @test range_size(op_e) == (15,) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
752 @test range_size(op_s) == (11,) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
753 @test range_size(op_n) == (11,) |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
754 end |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
755 end |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
756 |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
757 @testset "Application" begin |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
758 @testset "1D" begin |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
759 v = evalOn(g_1D,x->1+x^2) |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
760 u = fill(3.124) |
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
|
761 @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3] |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
762 @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-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
|
763 @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-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
|
764 @test op_l'*u == [2*u[]; u[]; 3*u[]; zeros(8)] |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
765 @test op_r'*u == [zeros(8); 3*u[]; u[]; 2*u[]] |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
766 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
|
767 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
768 @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
|
769 v = rand(size(g_2D)...) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
770 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
|
771 @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
772 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
773 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
774 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
775 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
776 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
777 g_x = rand(size(g_2D)[1]) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
778 g_y = rand(size(g_2D)[2]) |
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
|
779 |
631
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
780 G_w = zeros(Float64, size(g_2D)...) |
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Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
781 G_w[1,:] = 2*g_y |
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Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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630
diff
changeset
|
782 G_w[2,:] = g_y |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
783 G_w[3,:] = 3*g_y |
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
|
784 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
785 G_e = zeros(Float64, size(g_2D)...) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
786 G_e[end,:] = 2*g_y |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
787 G_e[end-1,:] = g_y |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
788 G_e[end-2,:] = 3*g_y |
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
|
789 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
790 G_s = zeros(Float64, size(g_2D)...) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
791 G_s[:,1] = 2*g_x |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
792 G_s[:,2] = g_x |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
793 G_s[:,3] = 3*g_x |
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
|
794 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
795 G_n = zeros(Float64, size(g_2D)...) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
796 G_n[:,end] = 2*g_x |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
797 G_n[:,end-1] = g_x |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
798 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>
parents:
586
diff
changeset
|
799 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
800 @test op_w'*g_y == G_w |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
801 @test op_e'*g_y == G_e |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
802 @test op_s'*g_x == G_s |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
803 @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
|
804 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
|
805 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
806 @testset "Regions" begin |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
807 u = fill(3.124) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
808 @test (op_l'*u)[Index(1,Lower)] == 2*u[] |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
809 @test (op_l'*u)[Index(2,Lower)] == u[] |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
810 @test (op_l'*u)[Index(6,Interior)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
811 @test (op_l'*u)[Index(10,Upper)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
812 @test (op_l'*u)[Index(11,Upper)] == 0 |
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
|
813 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
814 @test (op_r'*u)[Index(1,Lower)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
815 @test (op_r'*u)[Index(2,Lower)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
816 @test (op_r'*u)[Index(6,Interior)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
817 @test (op_r'*u)[Index(10,Upper)] == u[] |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
818 @test (op_r'*u)[Index(11,Upper)] == 2*u[] |
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
|
819 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
|
820 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
|
821 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
822 @testset "Inferred" 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
|
823 v = ones(Float64, 11) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
824 u = fill(1.) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
825 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
826 @inferred apply(op_l, v) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
827 @inferred apply(op_r, v) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
828 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
829 @inferred apply_transpose(op_l, u, 4) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
830 @inferred apply_transpose(op_l, u, Index(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
|
831 @inferred apply_transpose(op_l, u, Index(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
|
832 @inferred apply_transpose(op_l, u, Index(6,Interior)) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
833 @inferred apply_transpose(op_l, u, Index(10,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
|
834 @inferred apply_transpose(op_l, u, Index(11,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
|
835 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
836 @inferred apply_transpose(op_r, u, 4) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
837 @inferred apply_transpose(op_r, u, Index(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
|
838 @inferred apply_transpose(op_r, u, Index(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
|
839 @inferred apply_transpose(op_r, u, Index(6,Interior)) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
840 @inferred apply_transpose(op_r, u, Index(10,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
|
841 @inferred apply_transpose(op_r, u, Index(11,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
|
842 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
|
843 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
844 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
|
845 |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
846 @testset "boundary_restriction" begin |
617 | 847 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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
|
848 g_1D = EquidistantGrid(11, 0.0, 1.0) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
849 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
850 |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
851 @testset "boundary_restriction" 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
|
852 @testset "1D" begin |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
853 e_l = boundary_restriction(g_1D,op.eClosure,Lower()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
854 @test e_l == boundary_restriction(g_1D,op.eClosure,CartesianBoundary{1,Lower}()) |
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
|
855 @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
|
856 @test e_l isa BoundaryOperator{T,Lower} 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
|
857 @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
|
858 |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
859 e_r = boundary_restriction(g_1D,op.eClosure,Upper()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
860 @test e_r == boundary_restriction(g_1D,op.eClosure,CartesianBoundary{1,Upper}()) |
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
|
861 @test e_r == BoundaryOperator(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
|
862 @test e_r isa BoundaryOperator{T,Upper} 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
|
863 @test e_r 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
|
864 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
|
865 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
866 @testset "2D" begin |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
867 e_w = boundary_restriction(g_2D,op.eClosure,CartesianBoundary{1,Upper}()) |
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
|
868 @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
|
869 @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
|
870 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
|
871 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
|
872 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
873 @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
|
874 @testset "1D" begin |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
875 e_l = boundary_restriction(g_1D, op.eClosure, CartesianBoundary{1,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
876 e_r = boundary_restriction(g_1D, op.eClosure, CartesianBoundary{1,Upper}()) |
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
|
877 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
878 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
|
879 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
|
880 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
881 @test (e_l*v)[] == v[1] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
882 @test (e_r*v)[] == v[end] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
883 @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
|
884 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
885 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
886 @testset "2D" begin |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
887 e_w = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{1,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
888 e_e = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{1,Upper}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
889 e_s = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{2,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
890 e_n = boundary_restriction(g_2D, op.eClosure, CartesianBoundary{2,Upper}()) |
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
|
891 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
892 v = rand(11, 15) |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
893 u = fill(3.124) |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
894 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
895 @test e_w*v == v[1,:] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
896 @test e_e*v == v[end,:] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
897 @test e_s*v == v[:,1] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
898 @test e_n*v == v[:,end] |
573
4e2490f568aa
Add tests for apply_transpose and different regions
Jonatan Werpers <jonatan@werpers.com>
parents:
572
diff
changeset
|
899 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
|
900 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
901 end |
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
902 |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
903 @testset "normal_derivative" begin |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
904 g_1D = EquidistantGrid(11, 0.0, 1.0) |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
905 g_2D = EquidistantGrid((11,12), (0.0, 0.0), (1.0,1.0)) |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
906 @testset "normal_derivative" begin |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
907 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
908 @testset "1D" begin |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
909 d_l = normal_derivative(g_1D, op.dClosure, Lower()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
910 @test d_l == normal_derivative(g_1D, op.dClosure, CartesianBoundary{1,Lower}()) |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
911 @test d_l isa BoundaryOperator{T,Lower} where T |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
912 @test d_l isa TensorMapping{T,0,1} where T |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
913 end |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
914 @testset "2D" begin |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
915 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
916 d_w = normal_derivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
917 d_n = normal_derivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}()) |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
918 Ix = IdentityMapping{Float64}((size(g_2D)[1],)) |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
919 Iy = IdentityMapping{Float64}((size(g_2D)[2],)) |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
920 d_l = normal_derivative(restrict(g_2D,1),op.dClosure,Lower()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
921 d_r = normal_derivative(restrict(g_2D,2),op.dClosure,Upper()) |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
922 @test d_w == d_l⊗Iy |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
923 @test d_n == Ix⊗d_r |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
924 @test d_w isa TensorMapping{T,1,2} where T |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
925 @test d_n isa TensorMapping{T,1,2} where T |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
926 end |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
927 end |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
928 @testset "Accuracy" begin |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
929 v = evalOn(g_2D, (x,y)-> x^2 + (y-1)^2 + x*y) |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
930 v∂x = evalOn(g_2D, (x,y)-> 2*x + y) |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
931 v∂y = evalOn(g_2D, (x,y)-> 2*(y-1) + x) |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
932 # TODO: Test for higher order polynomials? |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
933 @testset "2nd order" begin |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
934 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
935 d_w = normal_derivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
936 d_e = normal_derivative(g_2D, op.dClosure, CartesianBoundary{1,Upper}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
937 d_s = normal_derivative(g_2D, op.dClosure, CartesianBoundary{2,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
938 d_n = normal_derivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}()) |
620
bfc893d03cbf
Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
939 |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
940 @test d_w*v ≈ v∂x[1,:] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
941 @test d_e*v ≈ -v∂x[end,:] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
942 @test d_s*v ≈ v∂y[:,1] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
943 @test d_n*v ≈ -v∂y[:,end] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
944 end |
620
bfc893d03cbf
Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
945 |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
946 @testset "4th order" begin |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
947 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
690
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
948 d_w = normal_derivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
949 d_e = normal_derivative(g_2D, op.dClosure, CartesianBoundary{1,Upper}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
950 d_s = normal_derivative(g_2D, op.dClosure, CartesianBoundary{2,Lower}()) |
1accc3e051d0
Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
671
diff
changeset
|
951 d_n = normal_derivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}()) |
620
bfc893d03cbf
Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
619
diff
changeset
|
952 |
644
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
953 @test d_w*v ≈ v∂x[1,:] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
954 @test d_e*v ≈ -v∂x[end,:] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
955 @test d_s*v ≈ v∂y[:,1] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
956 @test d_n*v ≈ -v∂y[:,end] atol = 1e-13 |
e3fd4b7aa789
Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
643
diff
changeset
|
957 end |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
958 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
959 end |
338
2b0c9b30ea3b
Add test sets for each submodule to make the test output nicer
Jonatan Werpers <jonatan@werpers.com>
parents:
335
diff
changeset
|
960 |
2b0c9b30ea3b
Add test sets for each submodule to make the test output nicer
Jonatan Werpers <jonatan@werpers.com>
parents:
335
diff
changeset
|
961 end |