annotate test/testSbpOperators.jl @ 631:fb915bce2228 feature/volume_and_boundary_operators

Fix indentation
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 31 Dec 2020 08:28:06 +0100
parents 9f0f1ace5101
children bf8b66c596f7
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1 using Test
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2 using Sbplib.SbpOperators
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3 using Sbplib.Grids
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4 using Sbplib.RegionIndices
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5 using Sbplib.LazyTensors
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6 using LinearAlgebra
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7 using TOML
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8
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9 import Sbplib.SbpOperators.Stencil
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10 import Sbplib.SbpOperators.VolumeOperator
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11 import Sbplib.SbpOperators.volume_operator
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12 import Sbplib.SbpOperators.BoundaryOperator
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13 import Sbplib.SbpOperators.boundary_operator
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14 import Sbplib.SbpOperators.Parity
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15
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16
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17 @testset "SbpOperators" begin
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18
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19 @testset "Stencil" begin
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20 s = Stencil((-2,2), (1.,2.,2.,3.,4.))
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21 @test s isa Stencil{Float64, 5}
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22
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23 @test eltype(s) == Float64
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24 @test SbpOperators.scale(s, 2) == Stencil((-2,2), (2.,4.,4.,6.,8.))
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25
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26 @test Stencil((1,2,3,4), center=1) == Stencil((0, 3),(1,2,3,4))
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27 @test Stencil((1,2,3,4), center=2) == Stencil((-1, 2),(1,2,3,4))
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28 @test Stencil((1,2,3,4), center=4) == Stencil((-3, 0),(1,2,3,4))
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29 end
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30
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31 @testset "parse_rational" begin
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32 @test SbpOperators.parse_rational("1") isa Rational
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33 @test SbpOperators.parse_rational("1") == 1//1
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34 @test SbpOperators.parse_rational("1/2") isa Rational
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35 @test SbpOperators.parse_rational("1/2") == 1//2
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36 @test SbpOperators.parse_rational("37/13") isa Rational
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37 @test SbpOperators.parse_rational("37/13") == 37//13
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38 end
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39
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40 @testset "readoperator" begin
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41 toml_str = """
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42 [meta]
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43 type = "equidistant"
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44
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45 [order2]
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46 H.inner = ["1"]
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47
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48 D1.inner_stencil = ["-1/2", "0", "1/2"]
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49 D1.closure_stencils = [
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50 ["-1", "1"],
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51 ]
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52
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53 d1.closure = ["-3/2", "2", "-1/2"]
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54
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55 [order4]
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56 H.closure = ["17/48", "59/48", "43/48", "49/48"]
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57
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58 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"]
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59 D2.closure_stencils = [
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60 [ "2", "-5", "4", "-1", "0", "0"],
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61 [ "1", "-2", "1", "0", "0", "0"],
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62 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"],
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63 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"],
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64 ]
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65 """
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66
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67 parsed_toml = TOML.parse(toml_str)
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68 @testset "get_stencil" begin
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69 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil") == Stencil((-1/2, 0., 1/2), center=2)
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70 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=1) == Stencil((-1/2, 0., 1/2); center=1)
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71 @test get_stencil(parsed_toml, "order2", "D1", "inner_stencil", center=3) == Stencil((-1/2, 0., 1/2); center=3)
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72
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73 @test get_stencil(parsed_toml, "order2", "H", "inner") == Stencil((1.,), center=1)
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74
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75 @test_throws AssertionError get_stencil(parsed_toml, "meta", "type")
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76 @test_throws AssertionError get_stencil(parsed_toml, "order2", "D1", "closure_stencils")
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77 end
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78
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79 @testset "get_stencils" begin
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80 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(1,)) == (Stencil((-1., 1.), center=1),)
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81 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=(2,)) == (Stencil((-1., 1.), center=2),)
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82 @test get_stencils(parsed_toml, "order2", "D1", "closure_stencils", centers=[2]) == (Stencil((-1., 1.), center=2),)
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83
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84 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=[1,1,1,1]) == (
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85 Stencil(( 2., -5., 4., -1., 0., 0.), center=1),
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86 Stencil(( 1., -2., 1., 0., 0., 0.), center=1),
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87 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=1),
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88 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1),
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89 )
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90
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91 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(4,2,3,1)) == (
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92 Stencil(( 2., -5., 4., -1., 0., 0.), center=4),
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93 Stencil(( 1., -2., 1., 0., 0., 0.), center=2),
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94 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3),
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95 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=1),
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96 )
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97
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98 @test get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=1:4) == (
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99 Stencil(( 2., -5., 4., -1., 0., 0.), center=1),
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100 Stencil(( 1., -2., 1., 0., 0., 0.), center=2),
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101 Stencil(( -4/43, 59/43, -110/43, 59/43, -4/43, 0.), center=3),
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102 Stencil(( -1/49, 0., 59/49, -118/49, 64/49, -4/49), center=4),
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103 )
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104
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105 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3))
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106 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "closure_stencils",centers=(1,2,3,5,4))
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107 @test_throws AssertionError get_stencils(parsed_toml, "order4", "D2", "inner_stencil",centers=(1,2))
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108 end
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109
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110 @testset "get_tuple" begin
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111 @test get_tuple(parsed_toml, "order2", "d1", "closure") == (-3/2, 2, -1/2)
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112
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113 @test_throws AssertionError get_tuple(parsed_toml, "meta", "type")
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114 end
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115 end
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116
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117 # @testset "apply_quadrature" begin
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118 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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119 # h = 0.5
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120 #
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121 # @test apply_quadrature(op, h, 1.0, 10, 100) == h
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122 #
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123 # N = 10
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124 # qc = op.quadratureClosure
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125 # q = h.*(qc..., ones(N-2*closuresize(op))..., reverse(qc)...)
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126 # @assert length(q) == N
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127 #
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128 # for i ∈ 1:N
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129 # @test apply_quadrature(op, h, 1.0, i, N) == q[i]
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130 # end
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131 #
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132 # v = [2.,3.,2.,4.,5.,4.,3.,4.,5.,4.5]
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133 # for i ∈ 1:N
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134 # @test apply_quadrature(op, h, v[i], i, N) == q[i]*v[i]
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135 # end
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136 # end
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137
628
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138 @testset "VolumeOperator" begin
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139 inner_stencil = Stencil(1/4 .* (1.,2.,1.),center=2)
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140 closure_stencils = (Stencil(1/2 .* (1.,1.),center=1),Stencil((0.,1.),center=2))
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141 g_1D = EquidistantGrid(11,0.,1.)
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142 g_2D = EquidistantGrid((11,12),(0.,0.),(1.,1.))
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143 g_3D = EquidistantGrid((11,12,10),(0.,0.,0.),(1.,1.,1.))
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144 @testset "Constructors" begin
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145 #TODO: How are even and odd in SbpOperators.Parity exposed? Currently constructing even as Parity(1)
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146 @testset "1D" begin
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147 op = VolumeOperator(inner_stencil,closure_stencils,(11,),Parity(1))
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148 @test op == VolumeOperator(g_1D,inner_stencil,closure_stencils,Parity(1))
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149 @test op == volume_operator(g_1D,inner_stencil,closure_stencils,Parity(1),1)
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150 @test op isa TensorMapping{T,1,1} where T
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151 end
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152 @testset "2D" begin
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153 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),1)
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154 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),2)
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155 Ix = IdentityMapping{Float64}((11,))
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156 Iy = IdentityMapping{Float64}((12,))
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157 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),Parity(1))⊗Iy
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158 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),Parity(1))
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159 @test op_x isa TensorMapping{T,2,2} where T
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160 @test op_y isa TensorMapping{T,2,2} where T
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161 end
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162 @testset "3D" begin
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163 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),1)
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164 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),2)
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165 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),3)
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166 Ix = IdentityMapping{Float64}((11,))
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167 Iy = IdentityMapping{Float64}((12,))
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168 Iz = IdentityMapping{Float64}((10,))
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169 @test op_x == VolumeOperator(inner_stencil,closure_stencils,(11,),Parity(1))⊗Iy⊗Iz
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170 @test op_y == Ix⊗VolumeOperator(inner_stencil,closure_stencils,(12,),Parity(1))⊗Iz
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171 @test op_z == Ix⊗Iy⊗VolumeOperator(inner_stencil,closure_stencils,(10,),Parity(1))
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172 @test op_x isa TensorMapping{T,3,3} where T
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173 @test op_y isa TensorMapping{T,3,3} where T
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174 @test op_z isa TensorMapping{T,3,3} where T
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175 end
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176 end
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177
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178 @testset "Sizes" begin
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179 @testset "1D" begin
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180 op = volume_operator(g_1D,inner_stencil,closure_stencils,Parity(1),1)
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181 @test range_size(op) == domain_size(op) == size(g_1D)
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182 end
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183
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184 @testset "2D" begin
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185 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),1)
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186 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),2)
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187 @test range_size(op_y) == domain_size(op_y) ==
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188 range_size(op_x) == domain_size(op_x) == size(g_2D)
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189 end
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190 @testset "3D" begin
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191 op_x = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),1)
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192 op_y = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),2)
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193 op_z = volume_operator(g_3D,inner_stencil,closure_stencils,Parity(1),3)
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194 @test range_size(op_z) == domain_size(op_z) ==
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195 range_size(op_y) == domain_size(op_y) ==
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196 range_size(op_x) == domain_size(op_x) == size(g_3D)
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197 end
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198 end
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199
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200 # TODO: Test for other dimensions?
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201 op_x = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),1)
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202 op_y = volume_operator(g_2D,inner_stencil,closure_stencils,Parity(1),2)
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203 v = zeros(size(g_2D))
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204 Nx = size(g_2D)[1]
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205 for i = 1:Nx
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206 v[i,:] .= i
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207 end
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208 rx = copy(v)
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209 rx[1,:] .= 1.5
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210 rx[end,:] .= (2*Nx-1)/2
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211 ry = copy(v)
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212
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213 @testset "Application" begin
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214 @test op_x*v ≈ rx rtol = 1e-14
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215 @test op_y*v ≈ ry rtol = 1e-14
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216 end
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217
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218 # TODO: Test for other dimensions?
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219 @testset "Regions" begin
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220 @test (op_x*v)[Index(1,Lower),Index(3,Interior)] ≈ rx[1,3] rtol = 1e-14
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221 @test (op_x*v)[Index(2,Lower),Index(3,Interior)] ≈ rx[2,3] rtol = 1e-14
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222 @test (op_x*v)[Index(6,Interior),Index(3,Interior)] ≈ rx[6,3] rtol = 1e-14
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223 @test (op_x*v)[Index(10,Upper),Index(3,Interior)] ≈ rx[10,3] rtol = 1e-14
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224 @test (op_x*v)[Index(11,Upper),Index(3,Interior)] ≈ rx[11,3] rtol = 1e-14
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225
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226 @test_throws BoundsError (op_x*v)[Index(3,Lower),Index(3,Interior)]
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227 @test_throws BoundsError (op_x*v)[Index(9,Upper),Index(3,Interior)]
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228
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229 @test (op_y*v)[Index(3,Interior),Index(1,Lower)] ≈ ry[3,1] rtol = 1e-14
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230 @test (op_y*v)[Index(3,Interior),Index(2,Lower)] ≈ ry[3,2] rtol = 1e-14
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231 @test (op_y*v)[Index(3,Interior),Index(6,Interior)] ≈ ry[3,6] rtol = 1e-14
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232 @test (op_y*v)[Index(3,Interior),Index(11,Upper)] ≈ ry[3,11] rtol = 1e-14
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233 @test (op_y*v)[Index(3,Interior),Index(12,Upper)] ≈ ry[3,12] rtol = 1e-14
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234
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235 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(10,Upper)]
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236 @test_throws BoundsError (op_y*v)[Index(3,Interior),Index(3,Lower)]
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237 end
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238
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239 # TODO: Test for other dimensions?
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240 @testset "Inferred" begin
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241 @inferred apply(op_x, v,1,1)
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242 @inferred apply(op_x, v, Index(1,Lower),Index(1,Lower))
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243 @inferred apply(op_x, v, Index(6,Interior),Index(1,Lower))
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244 @inferred apply(op_x, v, Index(11,Upper),Index(1,Lower))
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245
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246 @inferred apply(op_y, v,1,1)
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247 @inferred apply(op_y, v, Index(1,Lower),Index(1,Lower))
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248 @inferred apply(op_y, v, Index(1,Lower),Index(6,Interior))
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249 @inferred apply(op_y, v, Index(1,Lower),Index(11,Upper))
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250 end
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251
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252 end
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253
314
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254 @testset "SecondDerivative" begin
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255 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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256 Lx = 3.5
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257 Ly = 3.
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258 g_1D = EquidistantGrid(121, 0.0, Lx)
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259 g_2D = EquidistantGrid((121,123), (0.0, 0.0), (Lx, Ly))
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260
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261 # TODO: These areant really constructors. Better name?
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262 @testset "Constructors" begin
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263 @testset "1D" begin
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264 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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265 @test Dₓₓ == SecondDerivative(g_1D,op.innerStencil,op.closureStencils,1)
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266 @test Dₓₓ isa VolumeOperator
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267 end
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268 @testset "2D" begin
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269 Dₓₓ = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,1)
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270 D2 = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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271 I = IdentityMapping{Float64}(size(g_2D)[2])
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272 @test Dₓₓ == D2⊗I
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273 @test Dₓₓ isa TensorMapping{T,2,2} where T
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274 end
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275 end
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276
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277 @testset "Accuracy" begin
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278 @testset "1D" begin
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279 monomials = ()
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280 maxOrder = 4;
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281 for i = 0:maxOrder-1
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282 f_i(x) = 1/factorial(i)*x^i
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283 monomials = (monomials...,evalOn(g_1D,f_i))
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284 end
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285 l2(v) = sqrt(spacing(g_1D)[1]*sum(v.^2));
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286
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287 #TODO: Error when reading second order stencil!
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288 # @testset "2nd order" begin
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289 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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290 # Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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291 # @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-13
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292 # @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-13
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293 # end
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294
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295 # 4th order interior stencil, 2nd order boundary stencil,
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296 # implies that L*v should be exact for monomials up to order 3.
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297 # Exact differentiation is measured point-wise. For other grid functions
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298 # the error is measured in the l2-norm.
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299 @testset "4th order" begin
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300 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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301 Dₓₓ = SecondDerivative(g_1D,op.innerStencil,op.closureStencils)
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302 # TODO: high tolerances for checking the "exact" differentiation
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303 # due to accumulation of round-off errors/cancellation errors?
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304 @test Dₓₓ*monomials[1] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10
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305 @test Dₓₓ*monomials[2] ≈ zeros(Float64,size(g_1D)...) atol = 5e-10
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306 @test Dₓₓ*monomials[3] ≈ monomials[1] atol = 5e-10
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307 @test Dₓₓ*monomials[4] ≈ monomials[2] atol = 5e-10
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308 @test Dₓₓ*evalOn(g_1D,x -> sin(x)) ≈ evalOn(g_1D,x -> -sin(x)) rtol = 5e-4 norm = l2
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309 end
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310 end
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311
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312 @testset "2D" begin
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313 binomials = ()
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314 maxOrder = 4;
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315 for i = 0:maxOrder-1
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316 f_i(x,y) = 1/factorial(i)*y^i + x^i
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317 binomials = (binomials...,evalOn(g_2D,f_i))
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318 end
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319 l2(v) = sqrt(prod(spacing(g_2D))*sum(v.^2));
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320
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321 #TODO: Error when reading second order stencil!
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322 # @testset "2nd order" begin
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323 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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324 # Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2)
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325 # @test Dyy*binomials[1] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12
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326 # @test Dyy*binomials[2] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12
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327 # end
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328
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329 # 4th order interior stencil, 2nd order boundary stencil,
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330 # implies that L*v should be exact for binomials up to order 3.
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331 # Exact differentiation is measured point-wise. For other grid functions
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332 # the error is measured in the l2-norm.
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333 @testset "4th order" begin
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334 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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335 Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2)
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336 # TODO: high tolerances for checking the "exact" differentiation
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337 # due to accumulation of round-off errors/cancellation errors?
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338 @test Dyy*binomials[1] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9
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339 @test Dyy*binomials[2] ≈ zeros(Float64,size(g_2D)...) atol = 5e-9
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340 @test Dyy*binomials[3] ≈ evalOn(g_2D,(x,y)->1.) atol = 5e-9
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341 @test Dyy*binomials[4] ≈ evalOn(g_2D,(x,y)->y) atol = 5e-9
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342 @test Dyy*evalOn(g_2D, (x,y) -> sin(x)+cos(y)) ≈ evalOn(g_2D,(x,y) -> -cos(y)) rtol = 5e-4 norm = l2
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343 end
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344 end
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345 end
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346 end
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
347
630
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
348 @testset "Laplace" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
349 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
630
9f0f1ace5101 Add tests for Laplace
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diff changeset
350 g_1D = EquidistantGrid(101, 0.0, 1.)
9f0f1ace5101 Add tests for Laplace
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diff changeset
351 #TODO: It's nice to verify that 3D works somewhere at least, but perhaps should keep 3D tests to a minimum to avoid
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
352 # long run time for test?
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diff changeset
353 g_3D = EquidistantGrid((51,101,52), (0.0, -1.0, 0.0), (1., 1., 1.))
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
354 # TODO: These areant really constructors. Better name?
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
355 @testset "Constructors" begin
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
356 @testset "1D" begin
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
357 L = Laplace(g_1D, op.innerStencil, op.closureStencils)
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
358 @test L == SecondDerivative(g_1D, op.innerStencil, op.closureStencils)
9f0f1ace5101 Add tests for Laplace
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diff changeset
359 @test L isa TensorMapping{T,1,1} where T
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
360 end
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
361 @testset "3D" begin
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parents: 629
diff changeset
362 L = Laplace(g_3D, op.innerStencil, op.closureStencils)
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
363 @test L isa TensorMapping{T,3,3} where T
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
364 Dxx = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,1)
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
365 Dyy = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,2)
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
366 Dzz = SecondDerivative(g_3D, op.innerStencil, op.closureStencils,3)
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
367 @test L == Dxx + Dyy + Dzz
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
368 end
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
369 end
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
370
630
9f0f1ace5101 Add tests for Laplace
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diff changeset
371 @testset "Accuracy" begin
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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diff changeset
372 polynomials = ()
9f0f1ace5101 Add tests for Laplace
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diff changeset
373 maxOrder = 4;
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
374 for i = 0:maxOrder-1
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
375 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i)
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
376 polynomials = (polynomials...,evalOn(g_3D,f_i))
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
377 end
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
378 l2(v) = sqrt(prod(spacing(g_3D))*sum(v.^2));
314
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
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parents: 254
diff changeset
379
630
9f0f1ace5101 Add tests for Laplace
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parents: 629
diff changeset
380 #TODO: Error when reading second order stencil!
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
381 # @testset "2nd order" begin
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
382 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
383 # Dyy = SecondDerivative(g_2D,op.innerStencil,op.closureStencils,2)
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
384 # @test Dyy*binomials[1] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
385 # @test Dyy*binomials[2] ≈ evalOn(g_2D,(x,y)->0.) atol = 5e-12
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
386 # end
254
4ca3794fffef Add apply_quadrature to SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 219
diff changeset
387
630
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
388 # 4th order interior stencil, 2nd order boundary stencil,
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
389 # implies that L*v should be exact for binomials up to order 3.
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
390 # Exact differentiation is measured point-wise. For other grid functions
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
391 # the error is measured in the l2-norm.
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
392 @testset "4th order" begin
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
393 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
394 L = Laplace(g_3D,op.innerStencil,op.closureStencils)
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
395 # TODO: high tolerances for checking the "exact" differentiation
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
396 # due to accumulation of round-off errors/cancellation errors?
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
397 @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
398 @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
399 @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
400 @test L*polynomials[4] ≈ polynomials[2] atol = 5e-9
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
401 @test L*evalOn(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z)) ≈ evalOn(g_3D,(x,y,z) -> -sin(x)-cos(y) + exp(z)) rtol = 5e-4 norm = l2
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
402 end
9f0f1ace5101 Add tests for Laplace
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 629
diff changeset
403 end
254
4ca3794fffef Add apply_quadrature to SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 219
diff changeset
404 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
405
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
406 @testset "DiagonalInnerProduct" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
407 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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
408 L = 2.3
388
5223872485cd Clean up grid creation
Jonatan Werpers <jonatan@werpers.com>
parents: 387
diff changeset
409 g = EquidistantGrid(77, 0.0, L)
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
410 H = DiagonalInnerProduct(g,op.quadratureClosure)
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
411 v = ones(Float64, size(g))
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
412
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
413 @test H isa TensorMapping{T,1,1} where T
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
414 @test H' isa TensorMapping{T,1,1} where T
383
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
415 @test sum(H*v) ≈ L
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
416 @test H*v == H'*v
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
417 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
418
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
419 @testset "Quadrature" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
420 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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
421 Lx = 2.3
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
422 Ly = 5.2
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
423 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly))
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
424
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
425 Q = Quadrature(g, op.quadratureClosure)
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
426
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
427 @test Q isa TensorMapping{T,2,2} where T
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
428 @test Q' isa TensorMapping{T,2,2} where T
382
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
429
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
430 v = ones(Float64, size(g))
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
431 @test sum(Q*v) ≈ Lx*Ly
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
432
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
433 v = 2*ones(Float64, size(g))
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
434 @test_broken sum(Q*v) ≈ 2*Lx*Ly
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
435
5c10cd0ed1fe testSbpOperators.jl: Add a test for Quadrature and mark some tests broken
Jonatan Werpers <jonatan@werpers.com>
parents: 379
diff changeset
436 @test Q*v == Q'*v
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
437 end
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
438
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
439 @testset "InverseDiagonalInnerProduct" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
440 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
441 L = 2.3
388
5223872485cd Clean up grid creation
Jonatan Werpers <jonatan@werpers.com>
parents: 387
diff changeset
442 g = EquidistantGrid(77, 0.0, L)
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
443 H = DiagonalInnerProduct(g, op.quadratureClosure)
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
444 Hi = InverseDiagonalInnerProduct(g,op.quadratureClosure)
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
445 v = evalOn(g, x->sin(x))
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
446
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
447 @test Hi isa TensorMapping{T,1,1} where T
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
448 @test Hi' isa TensorMapping{T,1,1} where T
387
4686c3509b54 Switch to using isapprox operator
Jonatan Werpers <jonatan@werpers.com>
parents: 385
diff changeset
449 @test Hi*H*v ≈ v
383
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
450 @test Hi*v == Hi'*v
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
451 end
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
452
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
453 @testset "InverseQuadrature" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
454 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
455 Lx = 7.3
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
456 Ly = 8.2
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
457 g = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly))
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
458
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
459 Q = Quadrature(g, op.quadratureClosure)
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
460 Qinv = InverseQuadrature(g, op.quadratureClosure)
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
461 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
462
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 338
diff changeset
463 @test Qinv isa TensorMapping{T,2,2} where T
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
464 @test Qinv' isa TensorMapping{T,2,2} where T
383
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
465 @test_broken Qinv*(Q*v) ≈ v
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
466 @test Qinv*v == Qinv'*v
329
408c37b295c2 Refactor 1D tensor mapping in inverse quadrature to separate file, InverseDiagonalNorm. Add tests
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 328
diff changeset
467 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
468
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
469 @testset "BoundaryOperator" begin
617
f59e1732eacc Merge with default
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 612 613
diff changeset
470 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
471 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
472 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
473
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
474 @testset "Constructors" begin
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
475 @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
476 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
477 @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
478 @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
479 @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
480
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
481 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
482 @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
483 @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
484 @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
485 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
486
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
487 @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
488 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
489 @test e_w isa InflatedTensorMapping
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
490 @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
491 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
492 end
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
493
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
494 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
495 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
496
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
497 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
498 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
499 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
500 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
501
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
502 @testset "Sizes" begin
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
503 @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
504 @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
505 @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
506
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
507 @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
508 @test range_size(op_r) == ()
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
509 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
510
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
511 @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
512 @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
513 @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
514 @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
515 @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
516
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
517 @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
518 @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
519 @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
520 @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
521 end
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
522 end
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
523
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
524 @testset "Application" begin
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
525 @testset "1D" begin
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
526 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
527 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
528 @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
529 @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
530 @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
531 @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
532 @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
533 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
534
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
535 @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
536 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
537 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
538 @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
539 @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
540 @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
541 @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
542
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
543
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
544 g_x = rand(size(g_2D)[1])
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
545 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
546
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
547 G_w = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
548 G_w[1,:] = 2*g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
549 G_w[2,:] = g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
550 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
551
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
552 G_e = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
553 G_e[end,:] = 2*g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
554 G_e[end-1,:] = g_y
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
555 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
556
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
557 G_s = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
558 G_s[:,1] = 2*g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
559 G_s[:,2] = g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
560 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
561
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
562 G_n = zeros(Float64, size(g_2D)...)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
563 G_n[:,end] = 2*g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
564 G_n[:,end-1] = g_x
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
565 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
566
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
567 @test op_w'*g_y == G_w
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
568 @test op_e'*g_y == G_e
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
569 @test op_s'*g_x == G_s
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
570 @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
571 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
572
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
573 @testset "Regions" begin
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
574 u = fill(3.124)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
575 @test (op_l'*u)[Index(1,Lower)] == 2*u[]
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
576 @test (op_l'*u)[Index(2,Lower)] == u[]
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
577 @test (op_l'*u)[Index(6,Interior)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
578 @test (op_l'*u)[Index(10,Upper)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
579 @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
580
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
581 @test (op_r'*u)[Index(1,Lower)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
582 @test (op_r'*u)[Index(2,Lower)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
583 @test (op_r'*u)[Index(6,Interior)] == 0
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
584 @test (op_r'*u)[Index(10,Upper)] == u[]
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
585 @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
586 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
587 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
588
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
589 @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
590 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
591 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
592
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 @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
594 @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
595
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
596 @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
597 @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
598 @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
599 @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
600 @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
601 @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
602
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 @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
604 @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
605 @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
606 @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
607 @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
608 @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
609 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
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
611 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
612
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
613 @testset "BoundaryRestriction" begin
617
f59e1732eacc Merge with default
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 612 613
diff changeset
614 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
615 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
616 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
617
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
618 # TODO: These areant really constructors. Better name?
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
619 @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
620 @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
621 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
622 @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
623 @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
624 @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
625 @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
626
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
627 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
628 @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
629 @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
630 @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
631 @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
632 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
633
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
634 @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
635 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
636 @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
637 @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
638 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
639 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
640
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 @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
642 @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
643 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
644 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
645
e40e7439d1b4 Add a general boundary operator and make BoundaryRestriction a specialization of it.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 586
diff changeset
646 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
647 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
648
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
649 @test (e_l*v)[] == v[1]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
650 @test (e_r*v)[] == v[end]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
651 @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
652 @test e_l'*u == [u[]; zeros(10)]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
653 @test e_r'*u == [zeros(10); u[]]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
654 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
655
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
656 @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
657 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
658 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
659 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
660 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
661
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
662 v = rand(11, 15)
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
663 u = fill(3.124)
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
664
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
665 @test e_w*v == v[1,:]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
666 @test e_e*v == v[end,:]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
667 @test e_s*v == v[:,1]
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
668 @test e_n*v == v[:,end]
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
669
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
670
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
671 g_x = rand(11)
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
672 g_y = rand(15)
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
673
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
674 G_w = zeros(Float64, (11,15))
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
675 G_w[1,:] = g_y
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
676
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
677 G_e = zeros(Float64, (11,15))
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
678 G_e[end,:] = g_y
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
679
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
680 G_s = zeros(Float64, (11,15))
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
681 G_s[:,1] = g_x
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
682
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
683 G_n = zeros(Float64, (11,15))
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
684 G_n[:,end] = g_x
565
15423a868d28 Restructure and extend tests for BoundaryRestriction
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 562
diff changeset
685
631
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
686 @test e_w'*g_y == G_w
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
687 @test e_e'*g_y == G_e
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
688 @test e_s'*g_x == G_s
fb915bce2228 Fix indentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 630
diff changeset
689 @test e_n'*g_x == G_n
576
1d4417ced79f Put test sets around 1d and 2d tests
Jonatan Werpers <jonatan@werpers.com>
parents: 575
diff changeset
690 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
691 end
513
547639572208 Get some kind of tested working implementation.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 397
diff changeset
692 end
620
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
693
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
694 @testset "NormalDerivative" begin
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
695 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
696 g = EquidistantGrid((5,6), (0.0, 0.0), (4.0,5.0))
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
697
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
698 d_w = NormalDerivative(g, op.dClosure, CartesianBoundary{1,Lower}())
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
699 d_e = NormalDerivative(g, op.dClosure, CartesianBoundary{1,Upper}())
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
700 d_s = NormalDerivative(g, op.dClosure, CartesianBoundary{2,Lower}())
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
701 d_n = NormalDerivative(g, op.dClosure, CartesianBoundary{2,Upper}())
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
702
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
703
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
704 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
705 v∂x = evalOn(g, (x,y)-> 2*x + y)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
706 v∂y = evalOn(g, (x,y)-> 2*(y-1) + x)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
707
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
708 @test d_w isa TensorMapping{T,1,2} where T
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
709
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
710 @test d_w*v ≈ v∂x[1,:]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
711 @test d_e*v ≈ -v∂x[end,:]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
712 @test d_s*v ≈ v∂y[:,1]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
713 @test d_n*v ≈ -v∂y[:,end]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
714
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
715
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
716 d_x_l = zeros(Float64, size(g)[1])
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
717 d_x_u = zeros(Float64, size(g)[1])
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
718 for i ∈ eachindex(d_x_l)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
719 d_x_l[i] = op.dClosure[i-1]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
720 d_x_u[i] = op.dClosure[length(d_x_u)-i]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
721 end
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
722
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
723 d_y_l = zeros(Float64, size(g)[2])
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
724 d_y_u = zeros(Float64, size(g)[2])
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
725 for i ∈ eachindex(d_y_l)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
726 d_y_l[i] = op.dClosure[i-1]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
727 d_y_u[i] = op.dClosure[length(d_y_u)-i]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
728 end
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
729
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
730 function prod_matrix(x,y)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
731 G = zeros(Float64, length(x), length(y))
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
732 for I ∈ CartesianIndices(G)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
733 G[I] = x[I[1]]*y[I[2]]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
734 end
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
735
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
736 return G
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
737 end
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
738
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
739 g_x = [1,2,3,4.0,5]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
740 g_y = [5,4,3,2,1.0,11]
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
741
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
742 G_w = prod_matrix(d_x_l, g_y)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
743 G_e = prod_matrix(d_x_u, g_y)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
744 G_s = prod_matrix(g_x, d_y_l)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
745 G_n = prod_matrix(g_x, d_y_u)
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
746
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
747 @test d_w'*g_y ≈ G_w
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
748 @test_broken d_e'*g_y ≈ G_e
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
749 @test d_s'*g_x ≈ G_s
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
750 @test_broken d_n'*g_x ≈ G_n
bfc893d03cbf Add NormalDerivative as a BoundaryOperator and reintroduce tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
diff changeset
751 end
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
752 #
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
753 # @testset "BoundaryQuadrature" begin
594
cc86b920531a Change the readoperator function to use the .toml format
Jonatan Werpers <jonatan@werpers.com>
parents: 586
diff changeset
754 # op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
314
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
755 # g = EquidistantGrid((10,11), (0.0, 0.0), (1.0,1.0))
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
756 #
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
757 # H_w = BoundaryQuadrature(op, g, CartesianBoundary{1,Lower}())
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
758 # H_e = BoundaryQuadrature(op, g, CartesianBoundary{1,Upper}())
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
759 # H_s = BoundaryQuadrature(op, g, CartesianBoundary{2,Lower}())
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
760 # H_n = BoundaryQuadrature(op, g, CartesianBoundary{2,Upper}())
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
761 #
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
762 # v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
763 #
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
764 # function get_quadrature(N)
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
765 # qc = op.quadratureClosure
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
766 # q = (qc..., ones(N-2*closuresize(op))..., reverse(qc)...)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
767 # @assert length(q) == N
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
768 # return q
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
769 # end
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
770 #
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
771 # v_w = v[1,:]
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
772 # v_e = v[10,:]
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
773 # v_s = v[:,1]
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
774 # v_n = v[:,11]
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
775 #
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
776 # q_x = spacing(g)[1].*get_quadrature(10)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
777 # q_y = spacing(g)[2].*get_quadrature(11)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
778 #
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
779 # @test H_w isa TensorOperator{T,1} where T
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
780 #
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
781 # @test domain_size(H_w, (3,)) == (3,)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
782 # @test domain_size(H_n, (3,)) == (3,)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
783 #
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
784 # @test range_size(H_w, (3,)) == (3,)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
785 # @test range_size(H_n, (3,)) == (3,)
accb0876da12 Move tests for Laplace from DiffOps/test to SbpOperators/test and add test for Secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 254
diff changeset
786 #
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
787 # @test size(H_w*v_w) == (11,)
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
788 # @test size(H_e*v_e) == (11,)
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
789 # @test size(H_s*v_s) == (10,)
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
790 # @test size(H_n*v_n) == (10,)
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
791 #
387
4686c3509b54 Switch to using isapprox operator
Jonatan Werpers <jonatan@werpers.com>
parents: 385
diff changeset
792 # @test H_w*v_w .≈ q_y.*v_w
4686c3509b54 Switch to using isapprox operator
Jonatan Werpers <jonatan@werpers.com>
parents: 385
diff changeset
793 # @test H_e*v_e .≈ q_y.*v_e
4686c3509b54 Switch to using isapprox operator
Jonatan Werpers <jonatan@werpers.com>
parents: 385
diff changeset
794 # @test H_s*v_s .≈ q_x.*v_s
4686c3509b54 Switch to using isapprox operator
Jonatan Werpers <jonatan@werpers.com>
parents: 385
diff changeset
795 # @test H_n*v_n .≈ q_x.*v_n
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
796 #
383
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
797 # @test H_w'*v_w == H_w'*v_w
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
798 # @test H_e'*v_e == H_e'*v_e
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
799 # @test H_s'*v_s == H_s'*v_s
aaf8e331cb80 Remove collects around TensorMappingApplications
Jonatan Werpers <jonatan@werpers.com>
parents: 382
diff changeset
800 # @test H_n'*v_n == H_n'*v_n
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
801 # end
338
2b0c9b30ea3b Add test sets for each submodule to make the test output nicer
Jonatan Werpers <jonatan@werpers.com>
parents: 335
diff changeset
802
2b0c9b30ea3b Add test sets for each submodule to make the test output nicer
Jonatan Werpers <jonatan@werpers.com>
parents: 335
diff changeset
803 end