Mercurial > repos > public > sbplib_julia
annotate test/Grids/mapped_grid_test.jl @ 1705:4870fc3faa25 feature/grids/curvilinear
Add tests for equallity of mapped grids
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Wed, 04 Sep 2024 15:38:10 +0200 |
parents | e5e76c8e52c5 |
children | 11640aa3e348 |
rev | line source |
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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 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, 11) # TODO: Change dims of the grid to be different |
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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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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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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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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 mg = MappedGrid(lg, x̄, J) |
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50 @test mg[1,1] == [0.0, 0.0] |
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51 @test mg[4,2] == [0.6, 0.2] |
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52 @test mg[6,10] == [1., 1.8] |
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53 |
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54 @test mg[begin, begin] == [0.0, 0.0] |
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55 @test mg[end,end] == [2.0, 2.0] |
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56 @test mg[begin,end] == [0., 2.] |
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57 |
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58 @test eachindex(mg) == CartesianIndices((11,11)) |
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59 @test axes(mg) == (1:11, 1:11) |
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60 |
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61 @testset "cartesian indexing" begin |
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62 cases = [ |
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63 (1,1) , |
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64 (3,5) , |
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65 (10,6), |
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66 (1,1) , |
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67 (3,2) , |
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68 ] |
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69 |
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70 @testset "i = $is" for (lg, is) ∈ cases |
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71 @test mg[CartesianIndex(is...)] == mg[is...] |
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72 end |
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73 end |
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74 |
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75 @testset "eachindex" begin |
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76 @test eachindex(mg) == CartesianIndices((11,11)) |
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77 end |
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78 |
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79 @testset "firstindex" begin |
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80 @test firstindex(mg, 1) == 1 |
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81 @test firstindex(mg, 2) == 1 |
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82 end |
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83 |
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84 @testset "lastindex" begin |
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85 @test lastindex(mg, 1) == 11 |
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86 @test lastindex(mg, 2) == 11 |
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87 end |
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88 end |
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89 # TODO: Test with different types of logical grids |
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90 |
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91 @testset "Iterator interface" begin |
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92 sg = MappedGrid( |
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93 equidistant_grid((0,0), (1,1), 15, 11), |
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94 map(ξ̄ -> @SArray[ξ̄[1], ξ̄[2], -ξ̄[1]], lg), rand(SMatrix{2,3,Float64},15,11) |
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95 ) |
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96 |
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97 @test eltype(mg) == SVector{2,Float64} |
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98 @test eltype(sg) == SVector{3,Float64} |
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99 |
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100 @test eltype(typeof(mg)) == SVector{2,Float64} |
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101 @test eltype(typeof(sg)) == SVector{3,Float64} |
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102 |
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103 @test size(mg) == (11,11) |
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104 @test size(sg) == (15,11) |
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105 |
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106 @test size(mg,2) == 11 |
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107 @test size(sg,2) == 11 |
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108 |
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109 @test length(mg) == 121 |
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110 @test length(sg) == 165 |
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111 |
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112 @test Base.IteratorSize(mg) == Base.HasShape{2}() |
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113 @test Base.IteratorSize(typeof(mg)) == Base.HasShape{2}() |
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114 |
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115 @test Base.IteratorSize(sg) == Base.HasShape{2}() |
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116 @test Base.IteratorSize(typeof(sg)) == Base.HasShape{2}() |
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117 |
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118 element, state = iterate(mg) |
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119 @test element == lg[1,1].*2 |
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120 element, _ = iterate(mg, state) |
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121 @test element == lg[2,1].*2 |
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122 |
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123 element, state = iterate(sg) |
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124 @test element == sg.physicalcoordinates[1,1] |
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125 element, _ = iterate(sg, state) |
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126 @test element == sg.physicalcoordinates[2,1] |
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127 |
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128 @test collect(mg) == 2 .* lg |
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129 end |
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130 |
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131 @testset "Base" begin |
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132 @test ndims(mg) == 2 |
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133 end |
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134 |
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135 @testset "==" begin |
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136 sz = (15,11) |
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137 lg = equidistant_grid((0,0), (1,1), sz...) |
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138 x = rand(SVector{3,Float64}, sz...) |
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139 J = rand(SMatrix{2,3,Float64}, sz...) |
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140 |
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141 sg = MappedGrid(lg, x, J) |
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142 |
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143 sg1 = MappedGrid(equidistant_grid((0,0), (1,1), sz...), copy(x), copy(J)) |
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144 |
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145 sz2 = (15,12) |
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146 lg2 = equidistant_grid((0,0), (1,1), sz2...) |
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147 x2 = rand(SVector{3,Float64}, sz2...) |
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148 J2 = rand(SMatrix{2,3,Float64}, sz2...) |
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149 sg2 = MappedGrid(lg2, x2, J2) |
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150 |
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151 sg3 = MappedGrid(lg, rand(SVector{3,Float64}, sz...), J) |
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152 sg4 = MappedGrid(lg, x, rand(SMatrix{2,3,Float64}, sz...)) |
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153 |
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154 @test sg == sg1 |
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155 @test sg != sg2 # Different size |
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156 @test sg != sg3 # Different coordinates |
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157 @test sg != sg4 # Different jacobian |
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158 end |
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159 |
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160 @testset "boundary_identifiers" begin |
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161 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different |
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162 x̄ = map(ξ̄ -> 2ξ̄, lg) |
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163 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg) |
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164 mg = MappedGrid(lg, x̄, J) |
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165 @test boundary_identifiers(mg) == boundary_identifiers(lg) |
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166 end |
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167 |
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168 @testset "boundary_indices" begin |
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169 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different |
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170 x̄ = map(ξ̄ -> 2ξ̄, lg) |
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171 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg) |
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172 mg = MappedGrid(lg, x̄, J) |
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173 |
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174 @test boundary_indices(mg, CartesianBoundary{1,Lower}()) == boundary_indices(lg,CartesianBoundary{1,Lower}()) |
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175 @test boundary_indices(mg, CartesianBoundary{2,Lower}()) == boundary_indices(lg,CartesianBoundary{2,Lower}()) |
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176 @test boundary_indices(mg, CartesianBoundary{1,Upper}()) == boundary_indices(lg,CartesianBoundary{1,Upper}()) |
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177 end |
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178 |
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179 @testset "boundary_grid" begin |
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180 x̄, J = _partially_curved_mapping() |
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181 mg = mapped_grid(x̄, J, 10, 11) |
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182 J1((ξ, η)) = @SMatrix[ |
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183 1 ; |
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184 η*(2ξ-1); |
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185 ] |
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186 J2((ξ, η)) = @SMatrix[ |
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187 0; |
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188 1+ξ*(ξ-1); |
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189 ] |
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190 |
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191 function test_boundary_grid(mg, bId, Jb) |
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192 bg = boundary_grid(mg, bId) |
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193 |
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194 lg = logicalgrid(mg) |
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195 expected_bg = 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 |
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201 @testset let bId=bId, bg=bg, expected_bg=expected_bg |
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202 @test collect(bg) == collect(expected_bg) |
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203 @test logicalgrid(bg) == logicalgrid(expected_bg) |
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204 @test jacobian(bg) == jacobian(expected_bg) |
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205 # TODO: Implement equality of a curvilinear grid and simlify the above |
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206 end |
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207 end |
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208 |
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209 @testset test_boundary_grid(mg, TensorGridBoundary{1, Lower}(), J2) |
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210 @testset test_boundary_grid(mg, TensorGridBoundary{1, Upper}(), J2) |
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211 @testset test_boundary_grid(mg, TensorGridBoundary{2, Lower}(), J1) |
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212 @testset test_boundary_grid(mg, TensorGridBoundary{2, Upper}(), J1) |
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213 end |
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214 end |
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215 |
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216 @testset "mapped_grid" begin |
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217 x̄, J = _partially_curved_mapping() |
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218 mg = mapped_grid(x̄, J, 10, 11) |
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219 @test mg isa MappedGrid{SVector{2,Float64}, 2} |
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220 |
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221 lg = equidistant_grid((0,0), (1,1), 10, 11) |
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222 @test logicalgrid(mg) == lg |
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223 @test collect(mg) == map(x̄, lg) |
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224 |
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225 @test_broken mapped_grid(lg, x̄, J) == mg |
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226 end |
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227 |
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228 @testset "jacobian_determinant" begin |
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229 @test_broken false |
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230 end |
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231 |
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232 @testset "metric_tensor" 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_inverse" 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 "min_spacing" begin |
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241 let g = mapped_grid(identity, x->@SMatrix[1], 11) |
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242 @test min_spacing(g) ≈ 0.1 |
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243 end |
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244 |
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245 let g = mapped_grid(x->x+x.^2/2, x->@SMatrix[1 .+ x], 11) |
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246 @test min_spacing(g) ≈ 0.105 |
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247 end |
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248 |
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249 let g = mapped_grid(x->x + x.*(1 .- x)/2, x->@SMatrix[1.5 .- x], 11) |
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250 @test min_spacing(g) ≈ 0.055 |
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251 end |
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252 |
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253 let g = mapped_grid(identity, x->@SMatrix[1 0; 0 1], 11,11) |
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254 @test min_spacing(g) ≈ 0.1 |
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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], 11,21) |
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258 @test min_spacing(g) ≈ 0.05 |
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259 end |
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260 |
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261 |
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262 @testset let a = @SVector[1,0], b = @SVector[1,1]/√2 |
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263 g = mapped_grid(_skew_mapping(a,b)...,11,11) |
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264 |
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265 @test min_spacing(g) ≈ 0.1*norm(b-a) |
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266 end |
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267 |
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268 @testset let a = @SVector[1,0], b = @SVector[-1,1]/√2 |
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269 g = mapped_grid(_skew_mapping(a,b)...,11,11) |
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270 |
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271 @test min_spacing(g) ≈ 0.1*norm(a+b) |
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272 end |
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273 end |
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274 |
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275 @testset "normal" begin |
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276 g = mapped_grid(_partially_curved_mapping()...,10, 11) |
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277 |
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278 @test normal(g, CartesianBoundary{1,Lower}()) == fill(@SVector[-1,0], 11) |
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279 @test normal(g, CartesianBoundary{1,Upper}()) == fill(@SVector[1,0], 11) |
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280 @test normal(g, CartesianBoundary{2,Lower}()) == fill(@SVector[0,-1], 10) |
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281 @test normal(g, CartesianBoundary{2,Upper}()) ≈ map(boundary_grid(g,CartesianBoundary{2,Upper}())|>logicalgrid) do ξ̄ |
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282 α = 1-2ξ̄[1] |
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283 @SVector[α,1]/√(α^2 + 1) |
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284 end |
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285 |
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286 g = mapped_grid(_fully_curved_mapping()...,5,4) |
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287 |
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288 unit(v) = v/norm(v) |
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289 @testset let bId = CartesianBoundary{1,Lower}() |
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290 lbg = boundary_grid(logicalgrid(g), bId) |
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291 @test normal(g, bId) ≈ map(lbg) do (ξ, η) |
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292 -unit(@SVector[1/2, η/3-1/6]) |
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293 end |
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294 end |
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295 |
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296 @testset let bId = CartesianBoundary{1,Upper}() |
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297 lbg = boundary_grid(logicalgrid(g), bId) |
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298 @test normal(g, bId) ≈ map(lbg) do (ξ, η) |
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299 unit(@SVector[7/2, 2η-1]/(5 + 3η + 2η^2)) |
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300 end |
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301 end |
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302 |
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303 @testset let bId = CartesianBoundary{2,Lower}() |
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304 lbg = boundary_grid(logicalgrid(g), bId) |
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305 @test normal(g, bId) ≈ map(lbg) do (ξ, η) |
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306 -unit(@SVector[-2ξ, 2]/(6 + ξ^2 - 2ξ)) |
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307 end |
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309 |
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310 @testset let bId = CartesianBoundary{2,Upper}() |
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311 lbg = boundary_grid(logicalgrid(g), bId) |
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312 @test normal(g, bId) ≈ map(lbg) do (ξ, η) |
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313 unit(@SVector[-3ξ, 2]/(6 + ξ^2 + 3ξ)) |
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315 end |
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316 end |