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annotate test/testSbpOperators.jl @ 670:538ccbaeb1f8 feature/boundary_quads

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Update quadrature tests
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sat, 06 Feb 2021 12:04:06 +0100
parents 351937390162
children 1ce3a104afc8 730565f7cc2e
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accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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1 using Test
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2 using Sbplib.SbpOperators
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3 using Sbplib.Grids
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4 using Sbplib.RegionIndices
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5 using Sbplib.LazyTensors
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6 using LinearAlgebra
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7 using TOML
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8
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9 import Sbplib.SbpOperators.Stencil
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10 import Sbplib.SbpOperators.VolumeOperator
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11 import Sbplib.SbpOperators.volume_operator
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12 import Sbplib.SbpOperators.BoundaryOperator
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13 import Sbplib.SbpOperators.boundary_operator
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14 import Sbplib.SbpOperators.even
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15 import Sbplib.SbpOperators.odd
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16
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17
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18 @testset "SbpOperators" begin
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19
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20 @testset "Stencil" begin
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21 s = Stencil((-2,2), (1.,2.,2.,3.,4.))
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22 @test s isa Stencil{Float64, 5}
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23
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24 @test eltype(s) == Float64
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25 @test SbpOperators.scale(s, 2) == Stencil((-2,2), (2.,4.,4.,6.,8.))
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26
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27 @test Stencil((1,2,3,4), center=1) == Stencil((0, 3),(1,2,3,4))
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28 @test Stencil((1,2,3,4), center=2) == Stencil((-1, 2),(1,2,3,4))
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29 @test Stencil((1,2,3,4), center=4) == Stencil((-3, 0),(1,2,3,4))
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30 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 type = "equidistant"
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45
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46 [order2]
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47 H.inner = ["1"]
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48
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49 D1.inner_stencil = ["-1/2", "0", "1/2"]
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50 D1.closure_stencils = [
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51 ["-1", "1"],
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52 ]
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53
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54 d1.closure = ["-3/2", "2", "-1/2"]
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55
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56 [order4]
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57 H.closure = ["17/48", "59/48", "43/48", "49/48"]
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58
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59 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"]
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60 D2.closure_stencils = [
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61 [ "2", "-5", "4", "-1", "0", "0"],
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62 [ "1", "-2", "1", "0", "0", "0"],
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63 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"],
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64 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"],
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65 ]
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66 """
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67
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68 parsed_toml = TOML.parse(toml_str)
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69 @testset "get_stencil" begin
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70 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == Stencil((-1/2, 0., 1/2), center=2)
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71 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == Stencil((-1/2, 0., 1/2); center=1)
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72 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == Stencil((-1/2, 0., 1/2); center=3)
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73
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74 @test get_stencil(parsed_toml, "order2", "H", "inner") == Stencil((1.,), center=1)
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75
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76 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type")
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77 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils")
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78 end
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79
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80 @testset "get_stencils" begin
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81 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (Stencil((-1., 1.), center=1),)
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82 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (Stencil((-1., 1.), center=2),)
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83 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (Stencil((-1., 1.), center=2),)
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84
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85 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == (
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86 Stencil(( 2., -5., 4., -1., 0., 0.), center=1),
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87 Stencil(( 1., -2., 1., 0., 0., 0.), center=1),
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88 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=1),
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89 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1),
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90 )
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91
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92 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == (
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93 Stencil(( 2., -5., 4., -1., 0., 0.), center=4),
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94 Stencil(( 1., -2., 1., 0., 0., 0.), center=2),
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95 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3),
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96 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1),
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97 )
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98
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99 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == (
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100 Stencil(( 2., -5., 4., -1., 0., 0.), center=1),
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101 Stencil(( 1., -2., 1., 0., 0., 0.), center=2),
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102 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3),
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103 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=4),
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104 )
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105
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106 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3))
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107 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4))
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108 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2))
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109 end
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110
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111 @testset "get_tuple" begin
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112 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2)
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113
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114 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type")
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115 end
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116 end
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117
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118 @testset "VolumeOperator" begin
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119 inner_stencil = Stencil(1/4 .* (1.,2.,1.),center=2)
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120 closure_stencils = (Stencil(1/2 .* (1.,1.),center=1),Stencil((0.,1.),center=2))
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121 g_1D = EquidistantGrid(11,0.,1.)
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122 g_2D = EquidistantGrid((11,12),(0.,0.),(1.,1.))
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123 g_3D = EquidistantGrid((11,12,10),(0.,0.,0.),(1.,1.,1.))
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124 @testset "Constructors" begin
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125 @testset "1D" begin
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126 op = VolumeOperator(inner_stencil,closure_stencils,(11,),even)
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127 @test op == VolumeOperator(g_1D,inner_stencil,closure_stencils,even)
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128 @test op == volume_operator(g_1D,inner_stencil,closure_stencils,even,1)
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129 @test op isa TensorMapping{T,1,1} where T
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130 end
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131 @testset "2D" begin
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132 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1)
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133 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,even,2)
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134 Ix = IdentityMapping{Float64}((11,))
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135 Iy = IdentityMapping{Float64}((12,))
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136 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),even)⊗Iy
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137 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),even)
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138 @test op_x isa TensorMapping{T,2,2} where T
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139 @test op_y isa TensorMapping{T,2,2} where T
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140 end
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141 @testset "3D" begin
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142 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,even,1)
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143 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,even,2)
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144 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,even,3)
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145 Ix = IdentityMapping{Float64}((11,))
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146 Iy = IdentityMapping{Float64}((12,))
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147 Iz = IdentityMapping{Float64}((10,))
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148 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),even)⊗Iy⊗Iz
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149 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),even)⊗Iz
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150 @test op_z == Ix⊗Iy⊗VolumeOperator(inner_stencil,closure_stencils,(10,),even)
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151 @test op_x isa TensorMapping{T,3,3} where T
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152 @test op_y isa TensorMapping{T,3,3} where T
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153 @test op_z isa TensorMapping{T,3,3} where T
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154 end
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155 end
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156
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157 @testset "Sizes" begin
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158 @testset "1D" begin
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159 op = volume_operator(g_1D,inner_stencil,closure_stencils,even,1)
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160 @test range_size(op) == domain_size(op) == size(g_1D)
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161 end
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162
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163 @testset "2D" begin
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164 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1)
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165 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,even,2)
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166 @test range_size(op_y) == domain_size(op_y) ==
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167 range_size(op_x) == domain_size(op_x) == size(g_2D)
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168 end
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169 @testset "3D" begin
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170 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,even,1)
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171 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,even,2)
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172 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,even,3)
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173 @test range_size(op_z) == domain_size(op_z) ==
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174 range_size(op_y) == domain_size(op_y) ==
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175 range_size(op_x) == domain_size(op_x) == size(g_3D)
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176 end
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177 end
219
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178
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179 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,even,1)
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180 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,odd,2)
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181 v = zeros(size(g_2D))
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182 Nx = size(g_2D)[1]
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183 Ny = size(g_2D)[2]
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184 for i = 1:Nx
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185 v[i,:] .= i
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186 end
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187 rx = copy(v)
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188 rx[1,:] .= 1.5
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189 rx[Nx,:] .= (2*Nx-1)/2
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190 ry = copy(v)
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191 ry[:,Ny-1:Ny] = -v[:,Ny-1:Ny]
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192
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193 @testset "Application" begin
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194 @test op_x*v ≈ rx rtol = 1e-14
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195 @test op_y*v ≈ ry rtol = 1e-14
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196 end
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197
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198 @testset "Regions" begin
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199 @test (op_x*v)[Index(1,Lower),Index(3,Interior)] ≈ rx[1,3] rtol = 1e-14
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200 @test (op_x*v)[Index(2,Lower),Index(3,Interior)] ≈ rx[2,3] rtol = 1e-14
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201 @test (op_x*v)[Index(6,Interior),Index(3,Interior)] ≈ rx[6,3] rtol = 1e-14
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202 @test (op_x*v)[Index(10,Upper),Index(3,Interior)] ≈ rx[10,3] rtol = 1e-14
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203 @test (op_x*v)[Index(11,Upper),Index(3,Interior)] ≈ rx[11,3] rtol = 1e-14
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204
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205 @test_throws BoundsError (op_x*v)[Index(3,Lower),Index(3,Interior)]
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206 @test_throws BoundsError (op_x*v)[Index(9,Upper),Index(3,Interior)]
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207
628
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208 @test (op_y*v)[Index(3,Interior),Index(1,Lower)] ≈ ry[3,1] rtol = 1e-14
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209 @test (op_y*v)[Index(3,Interior),Index(2,Lower)] ≈ ry[3,2] rtol = 1e-14
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210 @test (op_y*v)[Index(3,Interior),Index(6,Interior)] ≈ ry[3,6] rtol = 1e-14
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211 @test (op_y*v)[Index(3,Interior),Index(11,Upper)] ≈ ry[3,11] rtol = 1e-14
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212 @test (op_y*v)[Index(3,Interior),Index(12,Upper)] ≈ ry[3,12] rtol = 1e-14
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213
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214 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(10,Upper)]
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215 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(3,Lower)]
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216 end
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217
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218 @testset "Inferred" begin
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219 @inferred apply(op_x, v,1,1)
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220 @inferred apply(op_x, v, Index(1,Lower),Index(1,Lower))
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221 @inferred apply(op_x, v, Index(6,Interior),Index(1,Lower))
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222 @inferred apply(op_x, v, Index(11,Upper),Index(1,Lower))
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223
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224 @inferred apply(op_y, v,1,1)
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225 @inferred apply(op_y, v, Index(1,Lower),Index(1,Lower))
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226 @inferred apply(op_y, v, Index(1,Lower),Index(6,Interior))
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227 @inferred apply(op_y, v, Index(1,Lower),Index(11,Upper))
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228 end
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229
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230 end
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231
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diff changeset
232 @testset "SecondDerivative" begin
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233 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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234 Lx = 3.5
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235 Ly = 3.
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236 g_1D = EquidistantGrid(121, 0.0, Lx)
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237 g_2D = EquidistantGrid((121,123), (0.0, 0.0), (Lx, Ly))
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238
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239 @testset "Constructors" begin
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240 @testset "1D" begin
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241 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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242 @test Dₓₓ == SecondDerivative(g_1D,op.innerStencil,op.closureStencils,1)
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243 @test Dₓₓ isa VolumeOperator
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244 end
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245 @testset "2D" begin
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246 Dₓₓ = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,1)
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247 D2 = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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248 I = IdentityMapping{Float64}(size(g_2D)[2])
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249 @test Dₓₓ == D2⊗I
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250 @test Dₓₓ isa TensorMapping{T,2,2} where T
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251 end
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252 end
314
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253
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254 # Exact differentiation is measured point-wise. In other cases
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255 # the error is measured in the l2-norm.
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256 @testset "Accuracy" begin
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257 @testset "1D" begin
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258 l2(v) = sqrt(spacing(g_1D)[1]*sum(v.^2));
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259 monomials = ()
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260 maxOrder = 4;
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261 for i = 0:maxOrder-1
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262 f_i(x) = 1/factorial(i)*x^i
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263 monomials = (monomials...,evalOn(g_1D,f_i))
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264 end
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265 v = evalOn(g_1D,x -> sin(x))
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266 vₓₓ = evalOn(g_1D,x -> -sin(x))
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267
643
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268 # 2nd order interior stencil, 1nd order boundary stencil,
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269 # implies that L*v should be exact for monomials up to order 2.
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270 @testset "2nd order" begin
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271 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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272 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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273 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10
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274 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10
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275 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10
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276 @test Dₓₓ*v ≈ vₓₓ rtol = 5e-2 norm = l2
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277 end
254
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278
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279 # 4th order interior stencil, 2nd order boundary stencil,
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280 # implies that L*v should be exact for monomials up to order 3.
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281 @testset "4th order" begin
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282 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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283 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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284 # NOTE: high tolerances for checking the "exact" differentiation
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285 # due to accumulation of round-off errors/cancellation errors?
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286 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10
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287 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10
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288 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10
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289 @test Dₓₓ*monomials[4] ≈ monomials[2] atol = 5e-10
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290 @test Dₓₓ*v ≈ vₓₓ rtol = 5e-4 norm = l2
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291 end
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292 end
670
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293
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294 @testset "2D" begin
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295 l2(v) = sqrt(prod(spacing(g_2D))*sum(v.^2));
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296 binomials = ()
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297 maxOrder = 4;
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298 for i = 0:maxOrder-1
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299 f_i(x,y) = 1/factorial(i)*y^i + x^i
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300 binomials = (binomials...,evalOn(g_2D,f_i))
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301 end
643
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302 v = evalOn(g_2D, (x,y) -> sin(x)+cos(y))
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303 v_yy = evalOn(g_2D,(x,y) -> -cos(y))
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304
643
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305 # 2nd order interior stencil, 1st order boundary stencil,
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306 # implies that L*v should be exact for binomials up to order 2.
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307 @testset "2nd order" begin
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308 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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309 Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2)
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310 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9
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311 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9
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312 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9
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313 @test Dyy*v ≈ v_yy rtol = 5e-2 norm = l2
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314 end
314
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diff changeset
315
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316 # 4th order interior stencil, 2nd order boundary stencil,
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317 # implies that L*v should be exact for binomials up to order 3.
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318 @testset "4th order" begin
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319 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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320 Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2)
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321 # NOTE: high tolerances for checking the "exact" differentiation
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322 # due to accumulation of round-off errors/cancellation errors?
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323 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9
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324 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9
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325 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9
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326 @test Dyy*binomials[4] ≈ evalOn(g_2D,(x,y)->y) atol = 5e-9
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327 @test Dyy*v ≈ v_yy rtol = 5e-4 norm = l2
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328 end
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329 end
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330 end
314
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diff changeset
331 end
254
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diff changeset
332
630
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diff changeset
333 @testset "Laplace" begin
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334 g_1D = EquidistantGrid(101, 0.0, 1.)
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335 g_3D = EquidistantGrid((51,101,52), (0.0, -1.0, 0.0), (1., 1., 1.))
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336 @testset "Constructors" begin
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diff changeset
337 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
630
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
338 @testset "1D" begin
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
339 L = Laplace(g_1D, op.innerStencil, op.closureStencils)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
340 @test L == SecondDerivative(g_1D, op.innerStencil, op.closureStencils)
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
341 @test L isa TensorMapping{T,1,1} where T
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
342 end
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
343 @testset "3D" begin
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
344 L = Laplace(g_3D, op.innerStencil, op.closureStencils)
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
345 @test L isa TensorMapping{T,3,3} where T
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parents: 629
diff changeset
346 Dxx = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,1)
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parents: 629
diff changeset
347 Dyy = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,2)
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
348 Dzz = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,3)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
349 @test L == Dxx + Dyy + Dzz
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parents: 629
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350 end
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
351 end
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
352
643
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
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parents: 642
diff changeset
353 # Exact differentiation is measured point-wise. In other cases
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
354 # the error is measured in the l2-norm.
630
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diff changeset
355 @testset "Accuracy" begin
643
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
356 l2(v) = sqrt(prod(spacing(g_3D))*sum(v.^2));
630
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diff changeset
357 polynomials = ()
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358 maxOrder = 4;
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parents: 629
diff changeset
359 for i = 0:maxOrder-1
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
360 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
361 polynomials = (polynomials...,evalOn(g_3D,f_i))
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parents: 629
diff changeset
362 end
643
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
363 v = evalOn(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z))
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
364 Δv = evalOn(g_3D,(x,y,z) -> -sin(x) - cos(y) + exp(z))
314
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
365
643
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
366 # 2nd order interior stencil, 1st order boundary stencil,
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
367 # implies that L*v should be exact for binomials up to order 2.
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
368 @testset "2nd order" begin
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
369 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
370 L = Laplace(g_3D,op.innerStencil,op.closureStencils)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
371 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
372 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
373 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
374 @test L*v ≈ Δv rtol = 5e-2 norm = l2
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
375 end
254
4ca3794fffef Add apply_quadrature to SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 219
diff changeset
376
630
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diff changeset
377 # 4th order interior stencil, 2nd order boundary stencil,
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
378 # implies that L*v should be exact for binomials up to order 3.
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
379 @testset "4th order" begin
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
380 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
381 L = Laplace(g_3D,op.innerStencil,op.closureStencils)
649
351937390162 Clean up testSbpOperators (remove some redundat tests, remove todos and fix use of Parity)
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 646
diff changeset
382 # NOTE: high tolerances for checking the "exact" differentiation
630
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
383 # due to accumulation of round-off errors/cancellation errors?
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
384 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
385 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
386 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
387 @test L*polynomials[4] ≈ polynomials[2] atol = 5e-9
643
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
388 @test L*v ≈ Δv rtol = 5e-4 norm = l2
630
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
389 end
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
390 end
254
4ca3794fffef Add apply_quadrature to SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 219
diff changeset
391 end
328
9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
392
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
393 @testset "Quadrature diagonal" begin
551
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
394 Lx = π/2.
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
395 Ly = Float64(π)
670
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
396 Lz = 1.
551
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
397 g_1D = EquidistantGrid(77, 0.0, Lx)
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
398 g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly))
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
399 g_3D = EquidistantGrid((10,10, 10), (0.0, 0.0, 0.0), (Lx,Ly,Lz))
553
d5c45785d318 Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 552
diff changeset
400 integral(H,v) = sum(H*v)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
401 @testset "quadrature" begin
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
402 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
403 @testset "1D" begin
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
404 H = quadrature(g_1D,op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
405 inner_stencil = Stencil((1.,),center=1)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
406 @test H == quadrature(g_1D,inner_stencil,op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
407 @test H isa TensorMapping{T,1,1} where T
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
408 end
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
409 @testset "2D" begin
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
410 H = quadrature(g_2D,op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
411 H_x = quadrature(restrict(g_2D,1),op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
412 H_y = quadrature(restrict(g_2D,2),op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
413 @test H == H_x⊗H_y
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
414 @test H isa TensorMapping{T,2,2} where T
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
415 end
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
416 end
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
417
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
418 @testset "boundary_quadrature" begin
643
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
419 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
420 @testset "1D" begin
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
421 (id_l, id_r) = boundary_identifiers(g_1D)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
422 @test boundary_quadrature(g_1D,op.quadratureClosure,id_l) == IdentityMapping{Float64}()
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
423 @test boundary_quadrature(g_1D,op.quadratureClosure,id_r) == IdentityMapping{Float64}()
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
424
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
425 end
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
426 @testset "2D" begin
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
427 (id_w, id_e, id_s, id_n) = boundary_identifiers(g_2D)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
428 H_x = quadrature(restrict(g_2D,1),op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
429 H_y = quadrature(restrict(g_2D,2),op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
430 @test boundary_quadrature(g_2D,op.quadratureClosure,id_w) == H_y
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
431 @test boundary_quadrature(g_2D,op.quadratureClosure,id_e) == H_y
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
432 @test boundary_quadrature(g_2D,op.quadratureClosure,id_s) == H_x
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
433 @test boundary_quadrature(g_2D,op.quadratureClosure,id_n) == H_x
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
434 end
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
435 @testset "3D" begin
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
436 (id_w, id_e,
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
437 id_s, id_n,
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
438 id_t, id_b) = boundary_identifiers(g_3D)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
439 H_xy = quadrature(restrict(g_3D,[1,2]),op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
440 H_xz = quadrature(restrict(g_3D,[1,3]),op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
441 H_yz = quadrature(restrict(g_3D,[2,3]),op.quadratureClosure)
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
442 @test boundary_quadrature(g_3D,op.quadratureClosure,id_w) == H_yz
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
443 @test boundary_quadrature(g_3D,op.quadratureClosure,id_e) == H_yz
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
444 @test boundary_quadrature(g_3D,op.quadratureClosure,id_s) == H_xz
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
445 @test boundary_quadrature(g_3D,op.quadratureClosure,id_n) == H_xz
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
446 @test boundary_quadrature(g_3D,op.quadratureClosure,id_t) == H_xy
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
447 @test boundary_quadrature(g_3D,op.quadratureClosure,id_b) == H_xy
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
448 end
551
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
449 end
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
450
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
451 @testset "Sizes" begin
643
0928bbc3ee8b Add tests for SecondDerivative and Laplace for 2nd order accurate case
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 642
diff changeset
452 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
453 @testset "1D" begin
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
454 H = quadrature(g_1D,op.quadratureClosure)
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
455 @test domain_size(H) == size(g_1D)
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
456 @test range_size(H) == size(g_1D)
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
457 end
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
458 @testset "2D" begin
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
459 H = quadrature(g_2D,op.quadratureClosure)
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
460 @test domain_size(H) == size(g_2D)
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
461 @test range_size(H) == size(g_2D)
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
462 end
551
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
463 end
328
9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
464
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
465 @testset "Accuracy" begin
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
466 @testset "1D" begin
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
467 v = ()
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
468 for i = 0:4
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
469 f_i(x) = 1/factorial(i)*x^i
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
470 v = (v...,evalOn(g_1D,f_i))
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
471 end
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
472 u = evalOn(g_1D,x->sin(x))
382
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
473
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
474 @testset "2nd order" begin
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
475 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
476 H = quadrature(g_1D,op.quadratureClosure)
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
477 for i = 1:2
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
478 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
479 end
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
480 @test integral(H,u) ≈ 1. rtol = 1e-4
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
481 end
553
d5c45785d318 Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 552
diff changeset
482
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
483 @testset "4th order" begin
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
484 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
485 H = quadrature(g_1D,op.quadratureClosure)
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
486 for i = 1:4
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
487 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
488 end
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
489 @test integral(H,u) ≈ 1. rtol = 1e-8
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
490 end
553
d5c45785d318 Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 552
diff changeset
491 end
d5c45785d318 Add test of accuracy conditions for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 552
diff changeset
492
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
493 @testset "2D" begin
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
494 b = 2.1
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
495 v = b*ones(Float64, size(g_2D))
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
496 u = evalOn(g_2D,(x,y)->sin(x)+cos(y))
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
497 @testset "2nd order" begin
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
498 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
499 H = quadrature(g_2D,op.quadratureClosure)
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
500 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
501 @test integral(H,u) ≈ π rtol = 1e-4
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
502 end
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
503 @testset "4th order" begin
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
504 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
505 H = quadrature(g_2D,op.quadratureClosure)
641
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
506 @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13
5e50e9815732 Merge testsets Accuracy and Application for DiagonalQuadrature, and fix bugs
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
diff changeset
507 @test integral(H,u) ≈ π rtol = 1e-8
638
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
508 end
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 634
diff changeset
509 end
551
8ac1d0fcba41 Add more tests for DiagonalQuadrature
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 505
diff changeset
510 end
328
9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
511 end
9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 314
diff changeset
512
642
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
513 @testset "InverseDiagonalQuadrature" 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
514 Lx = π/2.
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
515 Ly = Float64(π)
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
516 g_1D = EquidistantGrid(77, 0.0, Lx)
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
517 g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly))
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
518 @testset "Constructors" 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
519 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
520 @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
521 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
522 inner_stencil = Stencil((1.,),center=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
523 closures = ()
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
524 for i = 1:length(op.quadratureClosure)
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
525 closures = (closures...,Stencil(op.quadratureClosure[i].range,1.0./op.quadratureClosure[i].weights))
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
526 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
527 @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>
parents: 641
diff changeset
528 @test Hi isa TensorMapping{T,1,1} where T
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
529 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
530 @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
531 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
532 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: 641
diff changeset
533 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: 641
diff changeset
534 @test Hi == Hi_x⊗Hi_y
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
535 @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
536 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
537 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
538
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 @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
540 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
541 @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
542 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
543 @test domain_size(Hi) == size(g_1D)
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
544 @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
545 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
546 @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
547 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
548 @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
549 @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
550 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
551 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
552
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 @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
554 @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
555 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
556 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
557 @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
558 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
559 H = quadrature(g_1D,op.quadratureClosure)
642
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
560 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
561 @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
562 @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
563 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
564 @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
565 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
566 H = quadrature(g_1D,op.quadratureClosure)
642
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
567 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
568 @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
569 @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
570 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
571 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
572 @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
573 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
574 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
575 @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
576 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
577 H = quadrature(g_2D,op.quadratureClosure)
642
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
578 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
579 @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
580 @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
581 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
582 @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
583 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
670
538ccbaeb1f8 Update quadrature tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 649
diff changeset
584 H = quadrature(g_2D,op.quadratureClosure)
642
f4a16b403487 Implement the inverse quadrature operator as a volume operator and update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 641
diff changeset
585 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
586 @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
587 @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
588 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
589 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
590 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
591 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
592
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
593 @testset "BoundaryOperator" begin
617
f59e1732eacc Merge with default
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 612 613
diff changeset
594 closure_stencil = Stencil((0,2), (2.,1.,3.))
568
34d9e10f0001 Make grid larger in test to make sure there all kinds of regions are represented
Jonatan Werpers <jonatan@werpers.com>
parents: 567
diff changeset
595 g_1D = EquidistantGrid(11, 0.0, 1.0)
34d9e10f0001 Make grid larger in test to make sure there all kinds of regions are represented
Jonatan Werpers <jonatan@werpers.com>
parents: 567
diff changeset
596 g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0))
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
597
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
598 @testset "Constructors" begin
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
599 @testset "1D" begin
610
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
600 op_l = BoundaryOperator{Lower}(closure_stencil,size(g_1D)[1])
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
601 @test op_l == BoundaryOperator(g_1D,closure_stencil,Lower())
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
602 @test op_l == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Lower}())
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
603 @test op_l isa TensorMapping{T,0,1} where T
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
604
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
605 op_r = BoundaryOperator{Upper}(closure_stencil,size(g_1D)[1])
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
606 @test op_r == BoundaryRestriction(g_1D,closure_stencil,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
607 @test op_r == boundary_operator(g_1D,closure_stencil,CartesianBoundary{1,Upper}())
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
608 @test op_r isa TensorMapping{T,0,1} where T
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
609 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
610
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
611 @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
612 e_w = boundary_operator(g_2D,closure_stencil,CartesianBoundary{1,Upper}())
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
613 @test e_w isa InflatedTensorMapping
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
614 @test e_w isa TensorMapping{T,1,2} where T
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
615 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
616 end
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
617
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
618 op_l = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Lower}())
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
619 op_r = boundary_operator(g_1D, closure_stencil, CartesianBoundary{1,Upper}())
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
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_w = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Lower}())
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
622 op_e = boundary_operator(g_2D, closure_stencil, CartesianBoundary{1,Upper}())
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
623 op_s = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Lower}())
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
624 op_n = boundary_operator(g_2D, closure_stencil, CartesianBoundary{2,Upper}())
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
625
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
626 @testset "Sizes" begin
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
627 @testset "1D" begin
610
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
628 @test domain_size(op_l) == (11,)
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
629 @test domain_size(op_r) == (11,)
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
630
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
631 @test range_size(op_l) == ()
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
632 @test range_size(op_r) == ()
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
633 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
634
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
635 @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
636 @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
637 @test domain_size(op_e) == (11,15)
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
638 @test domain_size(op_s) == (11,15)
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
639 @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
640
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
641 @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
642 @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
643 @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
644 @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
645 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
646 end
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
647
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
648 @testset "Application" begin
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
649 @testset "1D" begin
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
650 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
651 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
652 @test (op_l*v)[] == 2*v[1] + v[2] + 3*v[3]
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
653 @test (op_r*v)[] == 2*v[end] + v[end-1] + 3*v[end-2]
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
654 @test (op_r*v)[1] == 2*v[end] + v[end-1] + 3*v[end-2]
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
655 @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
656 @test op_r'*u == [zeros(8); 3*u[]; u[]; 2*u[]]
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
657 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
658
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 @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
660 v = rand(size(g_2D)...)
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
661 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
662 @test op_w*v ≈ 2*v[1,:] + v[2,:] + 3*v[3,:] rtol = 1e-14
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
663 @test op_e*v ≈ 2*v[end,:] + v[end-1,:] + 3*v[end-2,:] rtol = 1e-14
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
664 @test op_s*v ≈ 2*v[:,1] + v[:,2] + 3*v[:,3] rtol = 1e-14
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
665 @test op_n*v ≈ 2*v[:,end] + v[:,end-1] + 3*v[:,end-2] rtol = 1e-14
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
666
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
667
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
668 g_x = rand(size(g_2D)[1])
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
669 g_y = rand(size(g_2D)[2])
610
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
670
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
671 G_w = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
672 G_w[1,:] = 2*g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
673 G_w[2,:] = g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
674 G_w[3,:] = 3*g_y
610
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
675
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
676 G_e = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
677 G_e[end,:] = 2*g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
678 G_e[end-1,:] = g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
679 G_e[end-2,:] = 3*g_y
610
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
680
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
681 G_s = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
682 G_s[:,1] = 2*g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
683 G_s[:,2] = g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
684 G_s[:,3] = 3*g_x
610
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
685
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
686 G_n = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
687 G_n[:,end] = 2*g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
688 G_n[:,end-1] = g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
689 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
690
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
691 @test op_w'*g_y == G_w
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
692 @test op_e'*g_y == G_e
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
693 @test op_s'*g_x == G_s
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
694 @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
695 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
696
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
697 @testset "Regions" begin
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
698 u = fill(3.124)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
699 @test (op_l'*u)[Index(1,Lower)] == 2*u[]
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
700 @test (op_l'*u)[Index(2,Lower)] == u[]
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
701 @test (op_l'*u)[Index(6,Interior)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
702 @test (op_l'*u)[Index(10,Upper)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
703 @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
704
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
705 @test (op_r'*u)[Index(1,Lower)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
706 @test (op_r'*u)[Index(2,Lower)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
707 @test (op_r'*u)[Index(6,Interior)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
708 @test (op_r'*u)[Index(10,Upper)] == u[]
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
709 @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
710 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
711 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
712
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
713 @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
714 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
715 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
716
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 @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
718 @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
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_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
721 @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
722 @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
723 @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
724 @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
725 @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
726
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
727 @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
728 @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
729 @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
730 @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
731 @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
732 @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
733 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
734
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 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
736
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 @testset "BoundaryRestriction" begin
617
f59e1732eacc Merge with default
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 612 613
diff changeset
738 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
739 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
740 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
741
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 @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
743 @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
744 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
745 @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
746 @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
747 @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
748 @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
749
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 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
751 @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
752 @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
753 @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
754 @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
755 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
756
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 @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
758 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
759 @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
760 @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
761 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
762 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
763
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 @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
765 @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
766 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
767 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
768
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
769 v = 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
770 u = fill(3.124)
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
771
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
772 @test (e_l*v)[] == v[1]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
773 @test (e_r*v)[] == v[end]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
774 @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
775 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
776
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
777 @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
778 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
779 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
780 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
781 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
782
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
783 v = rand(11, 15)
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
784 u = fill(3.124)
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
785
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
786 @test e_w*v == v[1,:]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
787 @test e_e*v == v[end,:]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
788 @test e_s*v == v[:,1]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
789 @test e_n*v == v[:,end]
573
4e2490f568aa Add tests for apply_transpose and different regions
Jonatan Werpers <jonatan@werpers.com>
parents: 572
diff changeset
790 end
544
884be64e82d9 Add test case illustrating issue in split_index for region indices.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 519
diff changeset
791 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
792 end
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
793
620
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
794 @testset "NormalDerivative" begin
644
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
795 g_1D = EquidistantGrid(11, 0.0, 1.0)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
796 g_2D = EquidistantGrid((11,12), (0.0, 0.0), (1.0,1.0))
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
797 @testset "Constructors" begin
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
798 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
799 @testset "1D" begin
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
800 d_l = NormalDerivative(g_1D, op.dClosure, Lower())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
801 @test d_l == NormalDerivative(g_1D, op.dClosure, CartesianBoundary{1,Lower}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
802 @test d_l isa BoundaryOperator{T,Lower} where T
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
803 @test d_l isa TensorMapping{T,0,1} where T
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
804 end
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
805 @testset "2D" begin
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
806 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
807 d_w = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
808 d_n = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
809 Ix = IdentityMapping{Float64}((size(g_2D)[1],))
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
810 Iy = IdentityMapping{Float64}((size(g_2D)[2],))
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
811 d_l = NormalDerivative(restrict(g_2D,1),op.dClosure,Lower())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
812 d_r = NormalDerivative(restrict(g_2D,2),op.dClosure,Upper())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
813 @test d_w == d_l⊗Iy
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
814 @test d_n == Ix⊗d_r
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
815 @test d_w isa TensorMapping{T,1,2} where T
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
816 @test d_n isa TensorMapping{T,1,2} where T
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
817 end
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
818 end
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
819 @testset "Accuracy" begin
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
820 v = evalOn(g_2D, (x,y)-> x^2 + (y-1)^2 + x*y)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
821 v∂x = evalOn(g_2D, (x,y)-> 2*x + y)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
822 v∂y = evalOn(g_2D, (x,y)-> 2*(y-1) + x)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
823 # TODO: Test for higher order polynomials?
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
824 @testset "2nd order" begin
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
825 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
826 d_w = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
827 d_e = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Upper}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
828 d_s = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Lower}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
829 d_n = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}())
620
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
830
644
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
831 @test d_w*v ≈ v∂x[1,:] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
832 @test d_e*v ≈ -v∂x[end,:] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
833 @test d_s*v ≈ v∂y[:,1] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
834 @test d_n*v ≈ -v∂y[:,end] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
835 end
620
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
836
644
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
837 @testset "4th order" begin
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
838 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
839 d_w = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Lower}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
840 d_e = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{1,Upper}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
841 d_s = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Lower}())
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
842 d_n = NormalDerivative(g_2D, op.dClosure, CartesianBoundary{2,Upper}())
620
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
843
644
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
844 @test d_w*v ≈ v∂x[1,:] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
845 @test d_e*v ≈ -v∂x[end,:] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
846 @test d_s*v ≈ v∂y[:,1] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
847 @test d_n*v ≈ -v∂y[:,end] atol = 1e-13
e3fd4b7aa789 Refactor tests for NormalDerivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 643
diff changeset
848 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
849 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
850 end
338
2b0c9b30ea3b Add test sets for each submodule to make the test output nicer
Jonatan Werpers <jonatan@werpers.com>
parents: 335
diff changeset
851
2b0c9b30ea3b Add test sets for each submodule to make the test output nicer
Jonatan Werpers <jonatan@werpers.com>
parents: 335
diff changeset
852 end