Mercurial > repos > public > sbplib_julia
annotate test/testSbpOperators.jl @ 764:d34b515b0ae7 operator_storage_array_of_table
Add functions for reading stencil sets
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Sat, 06 Feb 2021 20:45:34 +0100 |
parents | 5ff162f3ed72 |
children | fdd48f6ace1c |
rev | line source |
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1 using Test |
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2 using Sbplib.SbpOperators |
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3 using Sbplib.Grids |
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4 using Sbplib.RegionIndices |
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5 using Sbplib.LazyTensors |
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6 using LinearAlgebra |
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7 using TOML |
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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 end |
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31 |
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32 @testset "parse_rational" begin |
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33 @test SbpOperators.parse_rational("1") isa Rational |
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34 @test SbpOperators.parse_rational("1") == 1//1 |
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35 @test SbpOperators.parse_rational("1/2") isa Rational |
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36 @test SbpOperators.parse_rational("1/2") == 1//2 |
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37 @test SbpOperators.parse_rational("37/13") isa Rational |
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38 @test SbpOperators.parse_rational("37/13") == 37//13 |
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39 end |
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40 |
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41 @testset "readoperator" begin |
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42 toml_str = """ |
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43 [meta] |
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44 authors = "Ken Mattson" |
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45 description = "Standard operators for equidistant grids" |
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46 type = "equidistant" |
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47 cite = "A paper a long time ago in a galaxy far far away." |
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48 |
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49 [[stencil_set]] |
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50 |
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51 order = 2 |
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52 test = 2 |
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53 |
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54 H.inner = ["1"] |
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55 H.closure = ["1/2"] |
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56 |
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57 D1.inner_stencil = ["-1/2", "0", "1/2"] |
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58 D1.closure_stencils = [ |
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59 {s = ["-1", "1"], c = 1}, |
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60 ] |
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61 |
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62 D2.inner_stencil = ["1", "-2", "1"] |
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63 D2.closure_stencils = [ |
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64 {s = ["1", "-2", "1"], c = 1}, |
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65 ] |
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66 |
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67 e.closure = ["1"] |
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68 d1.closure = {s = ["-3/2", "2", "-1/2"], c = 1} |
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69 |
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70 [[stencil_set]] |
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71 |
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72 order = 4 |
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73 test = 1 |
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74 H.inner = ["1"] |
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75 H.closure = ["17/48", "59/48", "43/48", "49/48"] |
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76 |
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77 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"] |
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78 D2.closure_stencils = [ |
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79 {s = [ "2", "-5", "4", "-1", "0", "0"], c = 1}, |
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80 {s = [ "1", "-2", "1", "0", "0", "0"], c = 2}, |
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81 {s = [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], c = 3}, |
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82 {s = [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], c = 4}, |
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83 ] |
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84 |
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85 e.closure = ["1"] |
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86 d1.closure = {s = ["-11/6", "3", "-3/2", "1/3"], c = 1} |
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87 |
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88 [[stencil_set]] |
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89 order = 4 |
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90 test = 2 |
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91 |
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92 H.closure = ["-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"] |
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93 """ |
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94 |
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95 parsed_toml = TOML.parse(toml_str) |
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96 |
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97 @testset "get_stencil_set" begin |
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98 @test get_stencil_set(parsed_toml; order = 2) isa Dict |
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99 @test get_stencil_set(parsed_toml; order = 2) == parsed_toml["stencil_set"][1] |
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100 @test get_stencil_set(parsed_toml; test = 1) == parsed_toml["stencil_set"][2] |
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101 @test get_stencil_set(parsed_toml; order = 4, test = 2) == parsed_toml["stencil_set"][3] |
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102 |
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103 @test_throws ArgumentError get_stencil_set(parsed_toml; test = 2) |
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104 @test_throws ArgumentError get_stencil_set(parsed_toml; order = 4) |
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105 end |
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106 |
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107 @testset "get_stencil" begin |
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108 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == Stencil((-1/2, 0., 1/2), center=2) |
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109 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == Stencil((-1/2, 0., 1/2); center=1) |
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110 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == Stencil((-1/2, 0., 1/2); center=3) |
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111 |
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112 @test get_stencil(parsed_toml, "order2", "H", "inner") == Stencil((1.,), center=1) |
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113 |
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114 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type") |
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115 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils") |
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116 end |
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117 |
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118 @testset "get_stencils" begin |
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119 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (Stencil((-1., 1.), center=1),) |
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120 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (Stencil((-1., 1.), center=2),) |
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121 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (Stencil((-1., 1.), center=2),) |
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122 |
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123 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == ( |
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124 Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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125 Stencil(( 1., -2., 1., 0., 0., 0.), center=1), |
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126 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=1), |
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127 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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128 ) |
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129 |
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130 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == ( |
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131 Stencil(( 2., -5., 4., -1., 0., 0.), center=4), |
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132 Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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133 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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134 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1), |
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135 ) |
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136 |
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137 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == ( |
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138 Stencil(( 2., -5., 4., -1., 0., 0.), center=1), |
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139 Stencil(( 1., -2., 1., 0., 0., 0.), center=2), |
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140 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3), |
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141 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=4), |
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142 ) |
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143 |
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144 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3)) |
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145 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4)) |
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146 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2)) |
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147 end |
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148 |
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149 @testset "get_tuple" begin |
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150 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2) |
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151 |
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152 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type") |
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153 end |
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154 end |
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155 |
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156 @testset "VolumeOperator" begin |
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157 inner_stencil = Stencil(1/4 .* (1.,2.,1.),center=2) |
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158 closure_stencils = (Stencil(1/2 .* (1.,1.),center=1),Stencil((0.,1.),center=2)) |
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159 g_1D = EquidistantGrid(11,0.,1.) |
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160 g_2D = EquidistantGrid((11,12),(0.,0.),(1.,1.)) |
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161 g_3D = EquidistantGrid((11,12,10),(0.,0.,0.),(1.,1.,1.)) |
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162 @testset "Constructors" begin |
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163 @testset "1D" begin |
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164 op = VolumeOperator(inner_stencil,closure_stencils,(11,),even) |
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165 @test op == VolumeOperator(g_1D,inner_stencil,closure_stencils,even) |
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166 @test op == volume_operator(g_1D,inner_stencil,closure_stencils,even,1) |
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167 @test op isa TensorMapping{T,1,1} where T |
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168 end |
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169 @testset "2D" begin |
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170 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1) |
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171 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,even,2) |
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172 Ix = IdentityMapping{Float64}((11,)) |
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173 Iy = IdentityMapping{Float64}((12,)) |
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174 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),even)⊗Iy |
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175 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),even) |
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176 @test op_x isa TensorMapping{T,2,2} where T |
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177 @test op_y isa TensorMapping{T,2,2} where T |
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178 end |
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179 @testset "3D" begin |
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180 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,even,1) |
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181 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,even,2) |
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182 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,even,3) |
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183 Ix = IdentityMapping{Float64}((11,)) |
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184 Iy = IdentityMapping{Float64}((12,)) |
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185 Iz = IdentityMapping{Float64}((10,)) |
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186 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),even)⊗Iy⊗Iz |
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187 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),even)⊗Iz |
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188 @test op_z == Ix⊗Iy⊗VolumeOperator(inner_stencil,closure_stencils,(10,),even) |
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189 @test op_x isa TensorMapping{T,3,3} where T |
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190 @test op_y isa TensorMapping{T,3,3} where T |
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191 @test op_z isa TensorMapping{T,3,3} where T |
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192 end |
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193 end |
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194 |
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195 @testset "Sizes" begin |
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196 @testset "1D" begin |
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197 op = volume_operator(g_1D,inner_stencil,closure_stencils,even,1) |
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198 @test range_size(op) == domain_size(op) == size(g_1D) |
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199 end |
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200 |
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201 @testset "2D" begin |
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202 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1) |
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203 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,even,2) |
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204 @test range_size(op_y) == domain_size(op_y) == |
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205 range_size(op_x) == domain_size(op_x) == size(g_2D) |
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206 end |
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207 @testset "3D" begin |
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208 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,even,1) |
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209 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,even,2) |
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210 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,even,3) |
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211 @test range_size(op_z) == domain_size(op_z) == |
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212 range_size(op_y) == domain_size(op_y) == |
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213 range_size(op_x) == domain_size(op_x) == size(g_3D) |
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214 end |
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215 end |
219
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216 |
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217 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1) |
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218 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,odd,2) |
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219 v = zeros(size(g_2D)) |
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220 Nx = size(g_2D)[1] |
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221 Ny = size(g_2D)[2] |
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222 for i = 1:Nx |
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223 v[i,:] .= i |
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224 end |
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225 rx = copy(v) |
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226 rx[1,:] .= 1.5 |
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227 rx[Nx,:] .= (2*Nx-1)/2 |
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228 ry = copy(v) |
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229 ry[:,Ny-1:Ny] = -v[:,Ny-1:Ny] |
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230 |
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231 @testset "Application" begin |
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232 @test op_x*v ≈ rx rtol = 1e-14 |
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233 @test op_y*v ≈ ry rtol = 1e-14 |
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234 end |
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235 |
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236 @testset "Regions" begin |
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237 @test (op_x*v)[Index(1,Lower),Index(3,Interior)] ≈ rx[1,3] rtol = 1e-14 |
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238 @test (op_x*v)[Index(2,Lower),Index(3,Interior)] ≈ rx[2,3] rtol = 1e-14 |
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239 @test (op_x*v)[Index(6,Interior),Index(3,Interior)] ≈ rx[6,3] rtol = 1e-14 |
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240 @test (op_x*v)[Index(10,Upper),Index(3,Interior)] ≈ rx[10,3] rtol = 1e-14 |
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241 @test (op_x*v)[Index(11,Upper),Index(3,Interior)] ≈ rx[11,3] rtol = 1e-14 |
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242 |
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243 @test_throws BoundsError (op_x*v)[Index(3,Lower),Index(3,Interior)] |
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244 @test_throws BoundsError (op_x*v)[Index(9,Upper),Index(3,Interior)] |
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245 |
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246 @test (op_y*v)[Index(3,Interior),Index(1,Lower)] ≈ ry[3,1] rtol = 1e-14 |
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247 @test (op_y*v)[Index(3,Interior),Index(2,Lower)] ≈ ry[3,2] rtol = 1e-14 |
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248 @test (op_y*v)[Index(3,Interior),Index(6,Interior)] ≈ ry[3,6] rtol = 1e-14 |
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249 @test (op_y*v)[Index(3,Interior),Index(11,Upper)] ≈ ry[3,11] rtol = 1e-14 |
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250 @test (op_y*v)[Index(3,Interior),Index(12,Upper)] ≈ ry[3,12] rtol = 1e-14 |
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251 |
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252 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(10,Upper)] |
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253 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(3,Lower)] |
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254 end |
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255 |
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256 @testset "Inferred" begin |
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257 @inferred apply(op_x, v,1,1) |
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258 @inferred apply(op_x, v, Index(1,Lower),Index(1,Lower)) |
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259 @inferred apply(op_x, v, Index(6,Interior),Index(1,Lower)) |
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260 @inferred apply(op_x, v, Index(11,Upper),Index(1,Lower)) |
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261 |
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262 @inferred apply(op_y, v,1,1) |
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263 @inferred apply(op_y, v, Index(1,Lower),Index(1,Lower)) |
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264 @inferred apply(op_y, v, Index(1,Lower),Index(6,Interior)) |
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265 @inferred apply(op_y, v, Index(1,Lower),Index(11,Upper)) |
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266 end |
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267 |
314
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268 end |
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269 |
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270 @testset "SecondDerivative" begin |
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271 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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272 Lx = 3.5 |
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273 Ly = 3. |
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274 g_1D = EquidistantGrid(121, 0.0, Lx) |
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275 g_2D = EquidistantGrid((121,123), (0.0, 0.0), (Lx, Ly)) |
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276 |
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277 @testset "Constructors" begin |
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278 @testset "1D" begin |
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279 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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280 @test Dₓₓ == SecondDerivative(g_1D,op.innerStencil,op.closureStencils,1) |
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281 @test Dₓₓ isa VolumeOperator |
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282 end |
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283 @testset "2D" begin |
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284 Dₓₓ = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,1) |
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285 D2 = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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286 I = IdentityMapping{Float64}(size(g_2D)[2]) |
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287 @test Dₓₓ == D2⊗I |
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288 @test Dₓₓ isa TensorMapping{T,2,2} where T |
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289 end |
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290 end |
314
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291 |
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292 # Exact differentiation is measured point-wise. In other cases |
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293 # the error is measured in the l2-norm. |
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294 @testset "Accuracy" begin |
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295 @testset "1D" begin |
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296 l2(v) = sqrt(spacing(g_1D)[1]*sum(v.^2)); |
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297 monomials = () |
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298 maxOrder = 4; |
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299 for i = 0:maxOrder-1 |
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300 f_i(x) = 1/factorial(i)*x^i |
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301 monomials = (monomials...,evalOn(g_1D,f_i)) |
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302 end |
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303 v = evalOn(g_1D,x -> sin(x)) |
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304 vₓₓ = evalOn(g_1D,x -> -sin(x)) |
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305 |
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306 # 2nd order interior stencil, 1nd order boundary stencil, |
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307 # implies that L*v should be exact for monomials up to order 2. |
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308 @testset "2nd order" begin |
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309 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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310 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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311 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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312 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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313 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10 |
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314 @test Dₓₓ*v ≈ vₓₓ rtol = 5e-2 norm = l2 |
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315 end |
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316 |
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317 # 4th order interior stencil, 2nd order boundary stencil, |
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318 # implies that L*v should be exact for monomials up to order 3. |
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319 @testset "4th order" begin |
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320 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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321 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils) |
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322 # NOTE: high tolerances for checking the "exact" differentiation |
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323 # due to accumulation of round-off errors/cancellation errors? |
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324 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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325 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10 |
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326 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10 |
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327 @test Dₓₓ*monomials[4] ≈ monomials[2] atol = 5e-10 |
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328 @test Dₓₓ*v ≈ vₓₓ rtol = 5e-4 norm = l2 |
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329 end |
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330 end |
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331 |
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332 @testset "2D" begin |
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333 l2(v) = sqrt(prod(spacing(g_2D))*sum(v.^2)); |
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334 binomials = () |
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335 maxOrder = 4; |
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336 for i = 0:maxOrder-1 |
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337 f_i(x,y) = 1/factorial(i)*y^i + x^i |
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338 binomials = (binomials...,evalOn(g_2D,f_i)) |
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339 end |
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340 v = evalOn(g_2D, (x,y) -> sin(x)+cos(y)) |
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341 v_yy = evalOn(g_2D,(x,y) -> -cos(y)) |
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342 |
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343 # 2nd order interior stencil, 1st order boundary stencil, |
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344 # implies that L*v should be exact for binomials up to order 2. |
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345 @testset "2nd order" begin |
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346 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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347 Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2) |
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348 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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349 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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350 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9 |
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351 @test Dyy*v ≈ v_yy rtol = 5e-2 norm = l2 |
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352 end |
314
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353 |
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354 # 4th order interior stencil, 2nd order boundary stencil, |
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355 # implies that L*v should be exact for binomials up to order 3. |
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356 @testset "4th order" begin |
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357 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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358 Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2) |
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359 # NOTE: high tolerances for checking the "exact" differentiation |
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360 # due to accumulation of round-off errors/cancellation errors? |
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361 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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362 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9 |
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363 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9 |
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364 @test Dyy*binomials[4] ≈ evalOn(g_2D,(x,y)->y) atol = 5e-9 |
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365 @test Dyy*v ≈ v_yy rtol = 5e-4 norm = l2 |
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366 end |
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367 end |
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368 end |
314
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369 end |
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370 |
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371 @testset "Laplace" begin |
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372 g_1D = EquidistantGrid(101, 0.0, 1.) |
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373 g_3D = EquidistantGrid((51,101,52), (0.0, -1.0, 0.0), (1., 1., 1.)) |
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374 @testset "Constructors" begin |
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375 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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376 @testset "1D" begin |
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377 L = Laplace(g_1D, op.innerStencil, op.closureStencils) |
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378 @test L == SecondDerivative(g_1D, op.innerStencil, op.closureStencils) |
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379 @test L isa TensorMapping{T,1,1} where T |
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380 end |
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381 @testset "3D" begin |
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382 L = Laplace(g_3D, op.innerStencil, op.closureStencils) |
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383 @test L isa TensorMapping{T,3,3} where T |
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384 Dxx = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,1) |
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385 Dyy = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,2) |
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386 Dzz = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,3) |
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387 @test L == Dxx + Dyy + Dzz |
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388 end |
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389 end |
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390 |
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391 # Exact differentiation is measured point-wise. In other cases |
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392 # the error is measured in the l2-norm. |
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393 @testset "Accuracy" begin |
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394 l2(v) = sqrt(prod(spacing(g_3D))*sum(v.^2)); |
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395 polynomials = () |
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396 maxOrder = 4; |
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397 for i = 0:maxOrder-1 |
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398 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i) |
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399 polynomials = (polynomials...,evalOn(g_3D,f_i)) |
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400 end |
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401 v = evalOn(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z)) |
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402 Δv = evalOn(g_3D,(x,y,z) -> -sin(x) - cos(y) + exp(z)) |
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403 |
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404 # 2nd order interior stencil, 1st order boundary stencil, |
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405 # implies that L*v should be exact for binomials up to order 2. |
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406 @testset "2nd order" begin |
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407 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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408 L = Laplace(g_3D,op.innerStencil,op.closureStencils) |
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409 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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410 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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411 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9 |
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412 @test L*v ≈ Δv rtol = 5e-2 norm = l2 |
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413 end |
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414 |
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415 # 4th order interior stencil, 2nd order boundary stencil, |
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416 # implies that L*v should be exact for binomials up to order 3. |
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417 @testset "4th order" begin |
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418 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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419 L = Laplace(g_3D,op.innerStencil,op.closureStencils) |
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420 # NOTE: high tolerances for checking the "exact" differentiation |
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421 # due to accumulation of round-off errors/cancellation errors? |
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422 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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423 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9 |
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424 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9 |
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425 @test L*polynomials[4] ≈ polynomials[2] atol = 5e-9 |
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426 @test L*v ≈ Δv rtol = 5e-4 norm = l2 |
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427 end |
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428 end |
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429 end |
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430 |
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431 @testset "DiagonalQuadrature" begin |
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432 Lx = π/2. |
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433 Ly = Float64(π) |
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434 g_1D = EquidistantGrid(77, 0.0, Lx) |
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435 g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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436 integral(H,v) = sum(H*v) |
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437 @testset "Constructors" begin |
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438 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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439 @testset "1D" begin |
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440 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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441 inner_stencil = Stencil((1.,),center=1) |
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442 @test H == Quadrature(g_1D,inner_stencil,op.quadratureClosure) |
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443 @test H isa TensorMapping{T,1,1} where T |
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444 end |
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445 @testset "1D" begin |
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446 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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447 H_x = DiagonalQuadrature(restrict(g_2D,1),op.quadratureClosure) |
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448 H_y = DiagonalQuadrature(restrict(g_2D,2),op.quadratureClosure) |
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449 @test H == H_x⊗H_y |
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450 @test H isa TensorMapping{T,2,2} where T |
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451 end |
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452 end |
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453 |
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454 @testset "Sizes" begin |
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455 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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456 @testset "1D" begin |
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457 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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458 @test domain_size(H) == size(g_1D) |
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459 @test range_size(H) == size(g_1D) |
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460 end |
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461 @testset "2D" begin |
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462 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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463 @test domain_size(H) == size(g_2D) |
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464 @test range_size(H) == size(g_2D) |
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465 end |
551
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466 end |
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467 |
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468 @testset "Accuracy" begin |
638
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469 @testset "1D" begin |
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470 v = () |
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471 for i = 0:4 |
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472 f_i(x) = 1/factorial(i)*x^i |
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473 v = (v...,evalOn(g_1D,f_i)) |
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474 end |
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475 u = evalOn(g_1D,x->sin(x)) |
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476 |
641
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477 @testset "2nd order" begin |
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478 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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479 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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480 for i = 1:2 |
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481 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 |
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482 end |
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483 @test integral(H,u) ≈ 1. rtol = 1e-4 |
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484 end |
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485 |
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486 @testset "4th order" begin |
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487 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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488 H = DiagonalQuadrature(g_1D,op.quadratureClosure) |
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489 for i = 1:4 |
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490 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 |
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491 end |
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492 @test integral(H,u) ≈ 1. rtol = 1e-8 |
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493 end |
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494 end |
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495 |
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496 @testset "2D" begin |
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497 b = 2.1 |
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|
498 v = b*ones(Float64, size(g_2D)) |
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Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
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|
499 u = evalOn(g_2D,(x,y)->sin(x)+cos(y)) |
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Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
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diff
changeset
|
500 @testset "2nd order" begin |
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501 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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502 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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changeset
|
503 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 |
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Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
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parents:
638
diff
changeset
|
504 @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>
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638
diff
changeset
|
505 end |
5e50e9815732
Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
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638
diff
changeset
|
506 @testset "4th order" begin |
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changeset
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507 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
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changeset
|
508 H = DiagonalQuadrature(g_2D,op.quadratureClosure) |
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changeset
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509 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 |
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Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
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638
diff
changeset
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510 @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>
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diff
changeset
|
511 end |
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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>
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diff
changeset
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512 end |
551
8ac1d0fcba41
Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
513 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>
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314
diff
changeset
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514 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>
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|
515 |
642
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Implement the inverse quadrature operator as a volume operator and update tests.
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changeset
|
516 @testset "InverseDiagonalQuadrature" begin |
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changeset
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517 Lx = π/2. |
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Implement the inverse quadrature operator as a volume operator and update tests.
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518 Ly = Float64(π) |
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diff
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|
519 g_1D = EquidistantGrid(77, 0.0, Lx) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
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520 g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
521 @testset "Constructors" begin |
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Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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522 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
523 @testset "1D" begin |
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Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
524 Hi = InverseDiagonalQuadrature(g_1D, op.quadratureClosure); |
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Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
525 inner_stencil = Stencil((1.,),center=1) |
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Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
526 closures = () |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
527 for i = 1:length(op.quadratureClosure) |
f4a16b403487
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
528 closures = (closures...,Stencil(op.quadratureClosure[i].range,1.0./op.quadratureClosure[i].weights)) |
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Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
529 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
530 @test Hi == InverseQuadrature(g_1D,inner_stencil,closures) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
531 @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:
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diff
changeset
|
532 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
533 @testset "2D" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
534 Hi = InverseDiagonalQuadrature(g_2D,op.quadratureClosure) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
535 Hi_x = InverseDiagonalQuadrature(restrict(g_2D,1),op.quadratureClosure) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
536 Hi_y = InverseDiagonalQuadrature(restrict(g_2D,2),op.quadratureClosure) |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
537 @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:
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diff
changeset
|
538 @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
|
539 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
|
540 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
541 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
542 @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
|
543 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
|
544 @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
|
545 Hi = InverseDiagonalQuadrature(g_1D,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
|
546 @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:
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diff
changeset
|
547 @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
|
548 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
|
549 @testset "2D" begin |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
550 Hi = InverseDiagonalQuadrature(g_2D,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
|
551 @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
|
552 @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
|
553 end |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
554 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
|
555 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
641
diff
changeset
|
556 @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
|
557 @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
|
558 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
|
559 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
|
560 @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
|
561 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=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
|
562 H = DiagonalQuadrature(g_1D,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
|
563 Hi = InverseDiagonalQuadrature(g_1D,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
|
564 @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
|
565 @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
|
566 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
|
567 @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
|
568 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
|
569 H = DiagonalQuadrature(g_1D,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
|
570 Hi = InverseDiagonalQuadrature(g_1D,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
|
571 @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
|
572 @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
|
573 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
|
574 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
|
575 @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
|
576 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
|
577 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
|
578 @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
|
579 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=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
|
580 H = DiagonalQuadrature(g_2D,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
|
581 Hi = InverseDiagonalQuadrature(g_2D,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
|
582 @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
|
583 @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
|
584 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
|
585 @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
|
586 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
|
587 H = DiagonalQuadrature(g_2D,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
|
588 Hi = InverseDiagonalQuadrature(g_2D,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
|
589 @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
|
590 @test Hi*H*u ≈ u rtol = 1e-15 |
f4a16b403487
Implement the inverse quadrature operator as a volume operator and update tests.
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parents:
641
diff
changeset
|
591 end |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
592 end |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
593 end |
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Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
594 end |
513
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Get some kind of tested working implementation.
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changeset
|
595 |
610
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changeset
|
596 @testset "BoundaryOperator" begin |
617 | 597 closure_stencil = Stencil((0,2), (2.,1.,3.)) |
568
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diff
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|
598 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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parents:
567
diff
changeset
|
599 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0)) |
513
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changeset
|
600 |
565
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diff
changeset
|
601 @testset "Constructors" begin |
576
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parents:
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diff
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|
602 @testset "1D" begin |
610
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diff
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|
603 op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1]) |
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|
604 @test op_l == BoundaryOperator(g_1D,closure_stencil,Lower()) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
605 @test op_l == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Lower}()) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
606 @test op_l isa TensorMapping{T,0,1} where T |
513
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parents:
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diff
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|
607 |
610
e40e7439d1b4
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
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|
608 op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1]) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
609 @test op_r == BoundaryRestriction(g_1D,closure_stencil,Upper()) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
610 @test op_r == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Upper}()) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
611 @test op_r isa TensorMapping{T,0,1} where T |
576
1d4417ced79f
Put test sets around 1d and 2d tests
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parents:
575
diff
changeset
|
612 end |
513
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diff
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|
613 |
576
1d4417ced79f
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parents:
575
diff
changeset
|
614 @testset "2D" begin |
610
e40e7439d1b4
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
615 e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}()) |
576
1d4417ced79f
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parents:
575
diff
changeset
|
616 @test e_w isa InflatedTensorMapping |
1d4417ced79f
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parents:
575
diff
changeset
|
617 @test e_w isa TensorMapping{T,1,2} where T |
1d4417ced79f
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parents:
575
diff
changeset
|
618 end |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
619 end |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
620 |
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
|
621 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>
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|
622 op_r = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Upper}()) |
513
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
623 |
610
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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586
diff
changeset
|
624 op_w = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Lower}()) |
e40e7439d1b4
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
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|
625 op_e = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
626 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>
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586
diff
changeset
|
627 op_n = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Upper}()) |
565
15423a868d28
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
628 |
15423a868d28
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
629 @testset "Sizes" begin |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
630 @testset "1D" begin |
610
e40e7439d1b4
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
631 @test domain_size(op_l) == (11,) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
632 @test domain_size(op_r) == (11,) |
513
547639572208
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
633 |
610
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parents:
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diff
changeset
|
634 @test range_size(op_l) == () |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
635 @test range_size(op_r) == () |
576
1d4417ced79f
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Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
636 end |
565
15423a868d28
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
637 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
638 @testset "2D" begin |
610
e40e7439d1b4
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
639 @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
|
640 @test domain_size(op_e) == (11,15) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
641 @test domain_size(op_s) == (11,15) |
e40e7439d1b4
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
642 @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
|
643 |
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
|
644 @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
|
645 @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
|
646 @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
|
647 @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
|
648 end |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
649 end |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
650 |
15423a868d28
Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
562
diff
changeset
|
651 @testset "Application" begin |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
652 @testset "1D" begin |
1d4417ced79f
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Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
653 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
|
654 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
|
655 @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3] |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
656 @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-2] |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
657 @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-2] |
e40e7439d1b4
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
658 @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
|
659 @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:
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diff
changeset
|
660 end |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
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586
diff
changeset
|
661 |
e40e7439d1b4
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parents:
586
diff
changeset
|
662 @testset "2D" begin |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
663 v = rand(size(g_2D)...) |
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
664 u = fill(3.124) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
665 @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14 |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
666 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14 |
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parents:
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diff
changeset
|
667 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14 |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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diff
changeset
|
668 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14 |
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parents:
586
diff
changeset
|
669 |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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586
diff
changeset
|
670 |
631
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
671 g_x = rand(size(g_2D)[1]) |
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Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
672 g_y = rand(size(g_2D)[2]) |
610
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parents:
586
diff
changeset
|
673 |
631
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parents:
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diff
changeset
|
674 G_w = zeros(Float64, size(g_2D)...) |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
675 G_w[1,:] = 2*g_y |
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diff
changeset
|
676 G_w[2,:] = g_y |
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630
diff
changeset
|
677 G_w[3,:] = 3*g_y |
610
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
678 |
631
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changeset
|
679 G_e = zeros(Float64, size(g_2D)...) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
680 G_e[end,:] = 2*g_y |
fb915bce2228
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630
diff
changeset
|
681 G_e[end-1,:] = g_y |
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parents:
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diff
changeset
|
682 G_e[end-2,:] = 3*g_y |
610
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Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff
changeset
|
683 |
631
fb915bce2228
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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changeset
|
684 G_s = zeros(Float64, size(g_2D)...) |
fb915bce2228
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630
diff
changeset
|
685 G_s[:,1] = 2*g_x |
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parents:
630
diff
changeset
|
686 G_s[:,2] = g_x |
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diff
changeset
|
687 G_s[:,3] = 3*g_x |
610
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diff
changeset
|
688 |
631
fb915bce2228
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diff
changeset
|
689 G_n = zeros(Float64, size(g_2D)...) |
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diff
changeset
|
690 G_n[:,end] = 2*g_x |
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
691 G_n[:,end-1] = g_x |
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Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
692 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
|
693 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
694 @test op_w'*g_y == G_w |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
695 @test op_e'*g_y == G_e |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
696 @test op_s'*g_x == G_s |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
697 @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
|
698 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
|
699 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
700 @testset "Regions" begin |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
701 u = fill(3.124) |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
702 @test (op_l'*u)[Index(1,Lower)] == 2*u[] |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
703 @test (op_l'*u)[Index(2,Lower)] == u[] |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
704 @test (op_l'*u)[Index(6,Interior)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
705 @test (op_l'*u)[Index(10,Upper)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
706 @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
|
707 |
631
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
708 @test (op_r'*u)[Index(1,Lower)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
709 @test (op_r'*u)[Index(2,Lower)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
710 @test (op_r'*u)[Index(6,Interior)] == 0 |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
711 @test (op_r'*u)[Index(10,Upper)] == u[] |
fb915bce2228
Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
630
diff
changeset
|
712 @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
|
713 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
|
714 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
|
715 |
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 @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
|
717 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
|
718 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
|
719 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
720 @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
|
721 @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
|
722 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
723 @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
|
724 @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
|
725 @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
|
726 @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
|
727 @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
|
728 @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
|
729 |
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 @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
|
731 @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
|
732 @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
|
733 @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
|
734 @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
|
735 @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
|
736 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
|
737 |
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 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
|
739 |
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 @testset "BoundaryRestriction" begin |
617 | 741 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
|
742 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
|
743 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
|
744 |
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 @testset "Constructors" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
746 @testset "1D" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
747 e_l = BoundaryRestriction(g_1D,op.eClosure,Lower()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
748 @test e_l == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
749 @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
|
750 @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
|
751 @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
|
752 |
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 e_r = BoundaryRestriction(g_1D,op.eClosure,Upper()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
754 @test e_r == BoundaryRestriction(g_1D,op.eClosure,CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
755 @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
|
756 @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
|
757 @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
|
758 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
|
759 |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
760 @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
|
761 e_w = BoundaryRestriction(g_2D,op.eClosure,CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
762 @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
|
763 @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
|
764 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
|
765 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
|
766 |
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 @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
|
768 @testset "1D" begin |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
769 e_l = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
770 e_r = BoundaryRestriction(g_1D, op.eClosure, CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
771 |
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 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
|
773 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
|
774 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
775 @test (e_l*v)[] == v[1] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
776 @test (e_r*v)[] == v[end] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
777 @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
|
778 end |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
779 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
780 @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
|
781 e_w = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
782 e_e = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{1,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
783 e_s = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Lower}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
784 e_n = BoundaryRestriction(g_2D, op.eClosure, CartesianBoundary{2,Upper}()) |
e40e7439d1b4
Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
586
diff
changeset
|
785 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
786 v = rand(11, 15) |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
787 u = fill(3.124) |
513
547639572208
Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
397
diff
changeset
|
788 |
576
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
diff
changeset
|
789 @test e_w*v == v[1,:] |
1d4417ced79f
Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents:
575
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790 @test e_e*v == v[end,:] |
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791 @test e_s*v == v[:,1] |
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792 @test e_n*v == v[:,end] |
573
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793 end |
544
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794 end |
513
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795 end |
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796 |
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797 @testset "NormalDerivative" begin |
644
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798 g_1D = EquidistantGrid(11, 0.0, 1.0) |
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799 g_2D = EquidistantGrid((11,12), (0.0, 0.0), (1.0,1.0)) |
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800 @testset "Constructors" begin |
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801 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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802 @testset "1D" begin |
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803 d_l = NormalDerivative(g_1D, op.dClosure, Lower()) |
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804 @test d_l == NormalDerivative(g_1D, op.dClosure, CartesianBoundary{1,Lower}()) |
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805 @test d_l isa BoundaryOperator{T,Lower} where T |
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806 @test d_l isa TensorMapping{T,0,1} where T |
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807 end |
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808 @testset "2D" begin |
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809 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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810 d_w = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}()) |
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811 d_n = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}()) |
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812 Ix = IdentityMapping{Float64}((size(g_2D)[1],)) |
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813 Iy = IdentityMapping{Float64}((size(g_2D)[2],)) |
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814 d_l = NormalDerivative(restrict(g_2D,1),op.dClosure,Lower()) |
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815 d_r = NormalDerivative(restrict(g_2D,2),op.dClosure,Upper()) |
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816 @test d_w == d_l⊗Iy |
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817 @test d_n == Ix⊗d_r |
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818 @test d_w isa TensorMapping{T,1,2} where T |
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819 @test d_n isa TensorMapping{T,1,2} where T |
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820 end |
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821 end |
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822 @testset "Accuracy" begin |
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823 v = evalOn(g_2D, (x,y)-> x^2 + (y-1)^2 + x*y) |
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824 v∂x = evalOn(g_2D, (x,y)-> 2*x + y) |
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825 v∂y = evalOn(g_2D, (x,y)-> 2*(y-1) + x) |
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|
826 # TODO: Test for higher order polynomials? |
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|
827 @testset "2nd order" begin |
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|
828 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) |
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829 d_w = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}()) |
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830 d_e = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Upper}()) |
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831 d_s = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Lower}()) |
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832 d_n = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}()) |
620
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|
833 |
644
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|
834 @test d_w*v ≈ v∂x[1,:] atol = 1e-13 |
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835 @test d_e*v ≈ -v∂x[end,:] atol = 1e-13 |
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|
836 @test d_s*v ≈ v∂y[:,1] atol = 1e-13 |
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837 @test d_n*v ≈ -v∂y[:,end] atol = 1e-13 |
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|
838 end |
620
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|
839 |
644
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|
840 @testset "4th order" begin |
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|
841 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) |
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842 d_w = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}()) |
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843 d_e = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Upper}()) |
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|
844 d_s = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Lower}()) |
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|
845 d_n = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}()) |
620
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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|
846 |
644
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|
847 @test d_w*v ≈ v∂x[1,:] atol = 1e-13 |
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|
848 @test d_e*v ≈ -v∂x[end,:] atol = 1e-13 |
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|
849 @test d_s*v ≈ v∂y[:,1] atol = 1e-13 |
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|
850 @test d_n*v ≈ -v∂y[:,end] atol = 1e-13 |
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diff
changeset
|
851 end |
565
15423a868d28
Restructure and extend tests for BoundaryRestriction
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562
diff
changeset
|
852 end |
513
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|
853 end |
338
2b0c9b30ea3b
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Jonatan Werpers <jonatan@werpers.com>
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335
diff
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|
854 |
2b0c9b30ea3b
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diff
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|
855 end |