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annotate test/Grids/mapped_grid_test.jl @ 1659:3bbcd496e021 feature/grids/curvilinear

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Add function for computing the normal at the boundary of a mapped grid as a grid function
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 28 Jun 2024 17:02:47 +0200
parents 063a2bfb03da
children 6d196fb85133 4ce9cb21220c
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1 using Sbplib.Grids
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2 using Sbplib.RegionIndices
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3 using Test
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4 using StaticArrays
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5
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6 @testset "MappedGrid" begin
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7 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different
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8 x̄ = map(ξ̄ -> 2ξ̄, lg)
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9 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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10 mg = MappedGrid(lg, x̄, J)
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11
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12 # TODO: Test constructor for different dims of range and domain for the coordinates
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13 # TODO: Test constructor with different type than TensorGrid. a dummy type?
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14
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15 @test_broken false # @test_throws ArgumentError("Sizes must match") MappedGrid(lg, map(ξ̄ -> @SArray[ξ̄[1], ξ̄[2], -ξ̄[1]], lg), rand(SMatrix{2,3,Float64},15,11))
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16
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17
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18 @test mg isa Grid{SVector{2, Float64},2}
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19
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20 @test jacobian(mg) isa Array{<:AbstractMatrix}
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21 @test logicalgrid(mg) isa Grid
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22
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23 @testset "Indexing Interface" begin
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24 mg = MappedGrid(lg, x̄, J)
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25 @test mg[1,1] == [0.0, 0.0]
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26 @test mg[4,2] == [0.6, 0.2]
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27 @test mg[6,10] == [1., 1.8]
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29 @test mg[begin, begin] == [0.0, 0.0]
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30 @test mg[end,end] == [2.0, 2.0]
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31 @test mg[begin,end] == [0., 2.]
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32
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33 @test eachindex(mg) == CartesianIndices((11,11))
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34
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35 @testset "cartesian indexing" begin
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36 cases = [
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37 (1,1) ,
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38 (3,5) ,
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39 (10,6),
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40 (1,1) ,
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41 (3,2) ,
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42 ]
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43
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44 @testset "i = $is" for (lg, is) ∈ cases
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45 @test mg[CartesianIndex(is...)] == mg[is...]
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46 end
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47 end
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48
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49 @testset "eachindex" begin
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50 @test eachindex(mg) == CartesianIndices((11,11))
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51 end
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52
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53 @testset "firstindex" begin
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54 @test firstindex(mg, 1) == 1
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55 @test firstindex(mg, 2) == 1
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56 end
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57
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58 @testset "lastindex" begin
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59 @test lastindex(mg, 1) == 11
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60 @test lastindex(mg, 2) == 11
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61 end
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62 end
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63 # TODO: Test with different types of logical grids
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64
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65 @testset "Iterator interface" begin
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66 sg = MappedGrid(
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67 equidistant_grid((0,0), (1,1), 15, 11),
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68 map(ξ̄ -> @SArray[ξ̄[1], ξ̄[2], -ξ̄[1]], lg), rand(SMatrix{2,3,Float64},15,11)
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69 )
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70
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71 @test eltype(mg) == SVector{2,Float64}
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72 @test eltype(sg) == SVector{3,Float64}
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73
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74 @test eltype(typeof(mg)) == SVector{2,Float64}
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75 @test eltype(typeof(sg)) == SVector{3,Float64}
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76
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77 @test size(mg) == (11,11)
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78 @test size(sg) == (15,11)
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79
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80 @test size(mg,2) == 11
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81 @test size(sg,2) == 11
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82
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83 @test length(mg) == 121
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84 @test length(sg) == 165
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85
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86 @test Base.IteratorSize(mg) == Base.HasShape{2}()
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87 @test Base.IteratorSize(typeof(mg)) == Base.HasShape{2}()
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88
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89 @test Base.IteratorSize(sg) == Base.HasShape{2}()
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90 @test Base.IteratorSize(typeof(sg)) == Base.HasShape{2}()
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91
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92 element, state = iterate(mg)
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93 @test element == lg[1,1].*2
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94 element, _ = iterate(mg, state)
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95 @test element == lg[2,1].*2
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96
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97 element, state = iterate(sg)
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98 @test element == sg.physicalcoordinates[1,1]
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99 element, _ = iterate(sg, state)
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100 @test element == sg.physicalcoordinates[2,1]
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101
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102 @test collect(mg) == 2 .* lg
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103 end
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104
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105 @testset "Base" begin
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106 @test ndims(mg) == 2
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107 end
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108
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109 @testset "boundary_identifiers" begin
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110 @test boundary_identifiers(mg) == boundary_identifiers(lg)
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111 end
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112
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113 @testset "boundary_indices" begin
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114 @test boundary_indices(mg, CartesianBoundary{1,Lower}()) == boundary_indices(lg,CartesianBoundary{1,Lower}())
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115 @test boundary_indices(mg, CartesianBoundary{2,Lower}()) == boundary_indices(lg,CartesianBoundary{2,Lower}())
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116 @test boundary_indices(mg, CartesianBoundary{1,Upper}()) == boundary_indices(lg,CartesianBoundary{1,Upper}())
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117 end
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118
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119 @testset "boundary_grid" begin
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120 x̄((ξ, η)) = @SVector[ξ, η*(1+ξ*(ξ-1))]
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121 J((ξ, η)) = @SMatrix[
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122 1 0;
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123 η*(2ξ-1) 1+ξ*(ξ-1);
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124 ]
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125
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126 mg = mapped_grid(x̄, J, 10, 11)
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127 J1((ξ, η)) = @SMatrix[
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128 1 ;
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129 η*(2ξ-1);
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130 ]
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131 J2((ξ, η)) = @SMatrix[
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132 0;
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133 1+ξ*(ξ-1);
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134 ]
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135
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136 function test_boundary_grid(mg, bId, Jb)
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137 bg = boundary_grid(mg, bId)
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138
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139 lg = logicalgrid(mg)
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140 expected_bg = MappedGrid(
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141 boundary_grid(lg, bId),
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142 map(x̄, boundary_grid(lg, bId)),
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143 map(Jb, boundary_grid(lg, bId)),
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144 )
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145
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146 @testset let bId=bId, bg=bg, expected_bg=expected_bg
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147 @test collect(bg) == collect(expected_bg)
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148 @test logicalgrid(bg) == logicalgrid(expected_bg)
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149 @test jacobian(bg) == jacobian(expected_bg)
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150 # TODO: Implement equality of a curvilinear grid and simlify the above
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151 end
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152 end
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153
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154 @testset test_boundary_grid(mg, TensorGridBoundary{1, Lower}(), J2)
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155 @testset test_boundary_grid(mg, TensorGridBoundary{1, Upper}(), J2)
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156 @testset test_boundary_grid(mg, TensorGridBoundary{2, Lower}(), J1)
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157 @testset test_boundary_grid(mg, TensorGridBoundary{2, Upper}(), J1)
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158 end
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159
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160 @testset "jacobian_determinant" begin
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161 @test_broken false
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162 end
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163
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164 @testset "geometric_tensor" begin
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165 @test_broken false
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166 end
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167
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168 @testset "geometric_tensor_inverse" begin
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169 @test_broken false
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170 end
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171
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172 end
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173
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174 @testset "mapped_grid" begin
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175 x̄((ξ, η)) = @SVector[ξ, η*(1+ξ*(ξ-1))]
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176 J((ξ, η)) = @SMatrix[
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177 1 0;
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178 η*(2ξ-1) 1+ξ*(ξ-1);
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179 ]
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180 mg = mapped_grid(x̄, J, 10, 11)
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181 @test mg isa MappedGrid{SVector{2,Float64}, 2}
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182
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183 lg = equidistant_grid((0,0), (1,1), 10, 11)
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184 @test logicalgrid(mg) == lg
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185 @test collect(mg) == map(x̄, lg)
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186
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187
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188 @testset "normal" begin
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189 @test normal(mg, CartesianBoundary{1,Lower}()) == fill(@SVector[-1,0], 11)
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190 @test normal(mg, CartesianBoundary{1,Upper}()) == fill(@SVector[1,0], 11)
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191 @test normal(mg, CartesianBoundary{2,Lower}()) == fill(@SVector[0,-1], 10)
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192 @test normal(mg, CartesianBoundary{2,Upper}()) ≈ map(boundary_grid(mg,CartesianBoundary{2,Upper}())|>logicalgrid) do ξ̄
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193 α = 1-2ξ̄[1]
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194 @SVector[α,1]/√(α^2 + 1)
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195 end
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196 end
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197 end