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annotate test/Grids/mapped_grid_test.jl @ 1737:a4e1721a7109 feature/grids/curvilinear

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Simplify tests of boundary_grid
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 10 Sep 2024 22:17:01 +0200
parents 863385aae454
children 7573c9244e47
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1 using Diffinitive.Grids
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2 using Diffinitive.RegionIndices
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3 using Test
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4 using StaticArrays
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5 using LinearAlgebra
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6
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7
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8 _skew_mapping(a,b) = (ξ̄->ξ̄[1]*a + ξ̄[2]*b, ξ̄->[a b])
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9
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10 function _partially_curved_mapping()
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11 x̄((ξ, η)) = @SVector[ξ, η*(1+ξ*(ξ-1))]
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12 J((ξ, η)) = @SMatrix[
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13 1 0;
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14 η*(2ξ-1) 1+ξ*(ξ-1);
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15 ]
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16
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17 return x̄, J
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18 end
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19
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20 function _fully_curved_mapping()
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21 x̄((ξ, η)) = @SVector[2ξ + η*(1-η), 3η+(1+η/2)*ξ^2]
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22 J((ξ, η)) = @SMatrix[
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23 2 1-2η;
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24 (2+η)*ξ 3+1/2*ξ^2;
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25 ]
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26
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27 return x̄, J
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28 end
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29
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30 @testset "MappedGrid" begin
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31 lg = equidistant_grid((0,0), (1,1), 11, 21)
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32 x̄ = map(ξ̄ -> 2ξ̄, lg)
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33 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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34 mg = MappedGrid(lg, x̄, J)
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35
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36 # TODO: Test constructor for different dims of range and domain for the coordinates
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37 # TODO: Test constructor with different type than TensorGrid. a dummy type?
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38 # TODO: Test that the element types agree
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39
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40 @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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41
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42
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43 @test mg isa Grid{SVector{2, Float64},2}
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44
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45 @test jacobian(mg) isa Array{<:AbstractMatrix}
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46 @test logicalgrid(mg) isa Grid
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47
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48 @testset "Indexing Interface" begin
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49 lg = equidistant_grid((0,0), (1,1), 11, 21)
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50 x̄ = map(ξ̄ -> 2ξ̄, lg)
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51 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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52 mg = MappedGrid(lg, x̄, J)
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53 @test mg[1,1] == [0.0, 0.0]
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54 @test mg[4,2] == [0.6, 0.1]
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55 @test mg[6,10] == [1., 0.9]
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56
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57 @test mg[begin, begin] == [0.0, 0.0]
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58 @test mg[end,end] == [2.0, 2.0]
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59 @test mg[begin,end] == [0., 2.]
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60
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61 @test axes(mg) == (1:11, 1:21)
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62
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63 @testset "cartesian indexing" begin
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64 cases = [
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65 (1,1) ,
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66 (3,5) ,
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67 (10,6),
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68 (1,1) ,
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69 (3,2) ,
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70 ]
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71
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72 @testset "i = $is" for (lg, is) ∈ cases
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73 @test mg[CartesianIndex(is...)] == mg[is...]
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74 end
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75 end
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76
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77 @testset "eachindex" begin
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78 @test eachindex(mg) == CartesianIndices((11,21))
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79 end
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80
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81 @testset "firstindex" begin
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82 @test firstindex(mg, 1) == 1
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83 @test firstindex(mg, 2) == 1
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84 end
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85
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86 @testset "lastindex" begin
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87 @test lastindex(mg, 1) == 11
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88 @test lastindex(mg, 2) == 21
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89 end
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90 end
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91 # TODO: Test with different types of logical grids
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92
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93 @testset "Iterator interface" begin
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94 sg = MappedGrid(
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95 equidistant_grid((0,0), (1,1), 15, 11),
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96 map(ξ̄ -> @SArray[ξ̄[1], ξ̄[2], -ξ̄[1]], lg), rand(SMatrix{2,3,Float64},15,11)
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97 )
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98
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99 @test eltype(mg) == SVector{2,Float64}
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100 @test eltype(sg) == SVector{3,Float64}
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101
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102 @test eltype(typeof(mg)) == SVector{2,Float64}
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103 @test eltype(typeof(sg)) == SVector{3,Float64}
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104
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105 @test size(mg) == (11,21)
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106 @test size(sg) == (15,11)
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107
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108 @test size(mg,2) == 21
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109 @test size(sg,2) == 11
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110
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111 @test length(mg) == 231
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112 @test length(sg) == 165
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113
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114 @test Base.IteratorSize(mg) == Base.HasShape{2}()
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115 @test Base.IteratorSize(typeof(mg)) == Base.HasShape{2}()
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116
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117 @test Base.IteratorSize(sg) == Base.HasShape{2}()
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118 @test Base.IteratorSize(typeof(sg)) == Base.HasShape{2}()
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119
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120 element, state = iterate(mg)
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121 @test element == lg[1,1].*2
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122 element, _ = iterate(mg, state)
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123 @test element == lg[2,1].*2
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124
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125 element, state = iterate(sg)
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126 @test element == sg.physicalcoordinates[1,1]
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127 element, _ = iterate(sg, state)
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128 @test element == sg.physicalcoordinates[2,1]
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129
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130 @test collect(mg) == 2 .* lg
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131 end
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132
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133 @testset "Base" begin
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134 @test ndims(mg) == 2
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135 end
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136
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137 @testset "==" begin
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138 sz = (15,11)
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139 lg = equidistant_grid((0,0), (1,1), sz...)
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140 x = rand(SVector{3,Float64}, sz...)
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141 J = rand(SMatrix{2,3,Float64}, sz...)
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142
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143 sg = MappedGrid(lg, x, J)
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144
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145 sg1 = MappedGrid(equidistant_grid((0,0), (1,1), sz...), copy(x), copy(J))
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146
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147 sz2 = (15,12)
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148 lg2 = equidistant_grid((0,0), (1,1), sz2...)
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149 x2 = rand(SVector{3,Float64}, sz2...)
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150 J2 = rand(SMatrix{2,3,Float64}, sz2...)
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151 sg2 = MappedGrid(lg2, x2, J2)
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152
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153 sg3 = MappedGrid(lg, rand(SVector{3,Float64}, sz...), J)
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154 sg4 = MappedGrid(lg, x, rand(SMatrix{2,3,Float64}, sz...))
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155
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156 @test sg == sg1
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157 @test sg != sg2 # Different size
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158 @test sg != sg3 # Different coordinates
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159 @test sg != sg4 # Different jacobian
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160 end
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161
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162 @testset "boundary_identifiers" begin
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163 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different
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164 x̄ = map(ξ̄ -> 2ξ̄, lg)
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165 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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166 mg = MappedGrid(lg, x̄, J)
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167 @test boundary_identifiers(mg) == boundary_identifiers(lg)
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168 end
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169
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170 @testset "boundary_indices" begin
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171 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different
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172 x̄ = map(ξ̄ -> 2ξ̄, lg)
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173 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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174 mg = MappedGrid(lg, x̄, J)
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175
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176 @test boundary_indices(mg, CartesianBoundary{1,LowerBoundary}()) == boundary_indices(lg,CartesianBoundary{1,LowerBoundary}())
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177 @test boundary_indices(mg, CartesianBoundary{2,LowerBoundary}()) == boundary_indices(lg,CartesianBoundary{2,LowerBoundary}())
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178 @test boundary_indices(mg, CartesianBoundary{1,UpperBoundary}()) == boundary_indices(lg,CartesianBoundary{1,UpperBoundary}())
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179 end
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180
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181 @testset "boundary_grid" begin
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182 x̄, J = _partially_curved_mapping()
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183 mg = mapped_grid(x̄, J, 10, 11)
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184 J1((ξ, η)) = @SMatrix[
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185 1 ;
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186 η*(2ξ-1);
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187 ]
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188 J2((ξ, η)) = @SMatrix[
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189 0;
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190 1+ξ*(ξ-1);
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191 ]
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192
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193 function expected_bg(mg, bId, Jb)
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194 lg = logicalgrid(mg)
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195 return MappedGrid(
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196 boundary_grid(lg, bId),
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197 map(x̄, boundary_grid(lg, bId)),
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198 map(Jb, boundary_grid(lg, bId)),
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199 )
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200 end
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201
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202 let bid = TensorGridBoundary{1, LowerBoundary}()
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203 @test boundary_grid(mg, bid) == expected_bg(mg, bid, J2)
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204 end
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205
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206 let bid = TensorGridBoundary{1, UpperBoundary}()
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207 @test boundary_grid(mg, bid) == expected_bg(mg, bid, J2)
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208 end
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209
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210 let bid = TensorGridBoundary{2, LowerBoundary}()
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211 @test boundary_grid(mg, bid) == expected_bg(mg, bid, J1)
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212 end
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213
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214 let bid = TensorGridBoundary{2, UpperBoundary}()
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215 @test boundary_grid(mg, bid) == expected_bg(mg, bid, J1)
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216 end
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217 end
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218 end
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219
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220 @testset "mapped_grid" begin
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221 x̄, J = _partially_curved_mapping()
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222 mg = mapped_grid(x̄, J, 10, 11)
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223 @test mg isa MappedGrid{SVector{2,Float64}, 2}
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224
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225 lg = equidistant_grid((0,0), (1,1), 10, 11)
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226 @test logicalgrid(mg) == lg
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227 @test collect(mg) == map(x̄, lg)
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228
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229 @test mapped_grid(lg, x̄, J) == mg
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230 end
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231
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232 @testset "jacobian_determinant" begin
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233 @test_broken false
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234 end
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235
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236 @testset "metric_tensor" begin
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237 @test_broken false
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238 end
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239
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240 @testset "metric_tensor_inverse" begin
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241 @test_broken false
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242 end
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243
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244 @testset "min_spacing" begin
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245 let g = mapped_grid(identity, x->@SMatrix[1], 11)
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246 @test min_spacing(g) ≈ 0.1
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247 end
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248
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249 let g = mapped_grid(x->x+x.^2/2, x->@SMatrix[1 .+ x], 11)
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250 @test min_spacing(g) ≈ 0.105
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251 end
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252
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253 let g = mapped_grid(x->x + x.*(1 .- x)/2, x->@SMatrix[1.5 .- x], 11)
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254 @test min_spacing(g) ≈ 0.055
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255 end
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256
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257 let g = mapped_grid(identity, x->@SMatrix[1 0; 0 1], 11,11)
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258 @test min_spacing(g) ≈ 0.1
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259 end
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260
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261 let g = mapped_grid(identity, x->@SMatrix[1 0; 0 1], 11,21)
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262 @test min_spacing(g) ≈ 0.05
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263 end
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264
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265
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266 @testset let a = @SVector[1,0], b = @SVector[1,1]/√2
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267 g = mapped_grid(_skew_mapping(a,b)...,11,11)
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268
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269 @test min_spacing(g) ≈ 0.1*norm(b-a)
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270 end
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271
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272 @testset let a = @SVector[1,0], b = @SVector[-1,1]/√2
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273 g = mapped_grid(_skew_mapping(a,b)...,11,11)
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274
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275 @test min_spacing(g) ≈ 0.1*norm(a+b)
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276 end
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277 end
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278
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279 @testset "normal" begin
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280 g = mapped_grid(_partially_curved_mapping()...,10, 11)
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281
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282 @test normal(g, CartesianBoundary{1,LowerBoundary}()) == fill(@SVector[-1,0], 11)
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283 @test normal(g, CartesianBoundary{1,UpperBoundary}()) == fill(@SVector[1,0], 11)
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284 @test normal(g, CartesianBoundary{2,LowerBoundary}()) == fill(@SVector[0,-1], 10)
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285 @test normal(g, CartesianBoundary{2,UpperBoundary}()) ≈ map(boundary_grid(g,CartesianBoundary{2,UpperBoundary}())|>logicalgrid) do ξ̄
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286 α = 1-2ξ̄[1]
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287 @SVector[α,1]/√(α^2 + 1)
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288 end
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289
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290 g = mapped_grid(_fully_curved_mapping()...,5,4)
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291
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292 unit(v) = v/norm(v)
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293 @testset let bId = CartesianBoundary{1,LowerBoundary}()
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294 lbg = boundary_grid(logicalgrid(g), bId)
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295 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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296 -unit(@SVector[1/2, η/3-1/6])
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297 end
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298 end
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299
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300 @testset let bId = CartesianBoundary{1,UpperBoundary}()
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301 lbg = boundary_grid(logicalgrid(g), bId)
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302 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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303 unit(@SVector[7/2, 2η-1]/(5 + 3η + 2η^2))
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304 end
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305 end
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306
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307 @testset let bId = CartesianBoundary{2,LowerBoundary}()
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308 lbg = boundary_grid(logicalgrid(g), bId)
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309 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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310 -unit(@SVector[-2ξ, 2]/(6 + ξ^2 - 2ξ))
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311 end
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312 end
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313
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314 @testset let bId = CartesianBoundary{2,UpperBoundary}()
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315 lbg = boundary_grid(logicalgrid(g), bId)
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316 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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317 unit(@SVector[-3ξ, 2]/(6 + ξ^2 + 3ξ))
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318 end
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319 end
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320 end