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annotate src/Grids/manifolds.jl @ 1964:3fb5b03162ee feature/grids/manifolds

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Implement an error hint for MethodError with Grids.jacobian
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 11 Feb 2025 15:46:29 +0100
parents dd77b45ee1ac
children ebe883807b62
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 """
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2 Chart{D}
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3
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4 A parametrized description of a manifold or part of a manifold.
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5 """
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6 struct Chart{D, PST<:ParameterSpace{D}, MT}
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7 mapping::MT
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8 parameterspace::PST
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9 end
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10
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11 Base.ndims(::Chart{D}) where D = D
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12 (c::Chart)(ξ) = c.mapping(ξ)
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13 parameterspace(c::Chart) = c.parameterspace
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14
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15 """
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16 jacobian(c::Chart, ξ)
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17
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18 The jacobian of the mapping evaluated at `ξ`. This defers to the
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19 implementation of `jacobian` for the mapping itself. If no implementation is
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20 available one can easily be specified for either the mapping function or the
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21 chart itself.
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22 ```julia
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23 c = Chart(f, ps)
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24 jacobian(f::typeof(f), ξ) = f′(ξ)
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25 ```
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26 or
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27 ```julia
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28 c = Chart(f, ps)
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29 jacobian(c::typeof(c),ξ) = f′(ξ)
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30 ```
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31 which will both allow calling `jacobian(c,ξ)`.
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32 """
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33 jacobian(c::Chart, ξ) = jacobian(c.mapping, ξ)
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34
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35 boundary_identifiers(c::Chart) = boundary_identifiers(parameterspace(c))
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36
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37
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38 """
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39 Atlas
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40
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41 A collection of charts and their connections.
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42 Should implement methods for `charts` and `connections`.
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43 """
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44 abstract type Atlas end
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45
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46 """
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47 charts(::Atlas)
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48
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49 The colloction of charts in the atlas.
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50 """
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51 function charts end
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52
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53 """
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54 connections(::Atlas)
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55
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56 Collection of pairs of multiblock boundary identifiers.
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57 """
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58 function connections end
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59
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60
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61 """
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62 CartesianAtlas{D,C<:Chart,AT<:AbstractArray{C,D}} <: Atlas
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63
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64 An atlas where the charts are arranged and connected like an array.
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65 """
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66 struct CartesianAtlas{D,C<:Chart,AT<:AbstractArray{C,D}} <: Atlas
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67 charts::AT
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68 end
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69
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70 charts(a::CartesianAtlas) = a.charts
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71
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72 function connections(a::CartesianAtlas)
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73 c = Tuple{MultiBlockBoundary, MultiBlockBoundary}[]
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74
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75 for d ∈ 1:ndims(charts(a))
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76 Is = eachslice(CartesianIndices(charts(a)); dims=d)
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77 for i ∈ 1:length(Is)-1 # For each interface between slices
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78 for jk ∈ eachindex(Is[i]) # For each block in slice
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79 Iᵢⱼₖ = Tuple(Is[i][jk])
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80 Iᵢ₊₁ⱼₖ = Tuple(Is[i+1][jk])
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81 push!(c,
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82 (
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83 MultiBlockBoundary{Iᵢⱼₖ, CartesianBoundary{d,UpperBoundary}}(),
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84 MultiBlockBoundary{Iᵢ₊₁ⱼₖ, CartesianBoundary{d,LowerBoundary}}(),
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85 )
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86 )
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87 end
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88 end
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89 end
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90
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91 return c
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92 end
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93
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94 """
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95 boundary_identifiers(a::CartesianAtlas)
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96
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97 All non-connected boundaries of the charts of `a`.
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98 """
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99 function boundary_identifiers(a::CartesianAtlas)
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100 bs = MultiBlockBoundary[]
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101
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102 for d ∈ 1:ndims(charts(a))
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103 Is = eachslice(CartesianIndices(charts(a)); dims=d)
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104
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105 for (i,b) ∈ ((1,LowerBoundary),(length(Is),UpperBoundary)) # For first and last slice
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106 for jk ∈ eachindex(Is[i]) # For each block in slice
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107 Iᵢⱼₖ = Tuple(Is[i][jk])
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108 push!(bs,
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109 MultiBlockBoundary{Iᵢⱼₖ, CartesianBoundary{d,b}}(),
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110 )
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111 end
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112 end
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113 end
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114
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115 return bs
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116 end
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117
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118
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119 """
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120 UnstructuredAtlas{C<:Chart, CN<:Tuple{MultiBlockBoundary,MultiBlockBoundary}, ...} <: Atlas
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121
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122 An atlas with connections determined by a vector `MultiBlockBoundary` pairs.
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123 """
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124 struct UnstructuredAtlas{C<:Chart, CN<:Tuple{MultiBlockBoundary,MultiBlockBoundary}, CV<:AbstractVector{C}, CNV<:AbstractVector{CN}} <: Atlas
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125 charts::CV
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126 connections::CNV
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127 end
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128
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129 charts(a::UnstructuredAtlas) = a.charts
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130 connections(a::UnstructuredAtlas) = a.connections
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131
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132 """
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133 boundary_identifiers(a::UnstructuredAtlas)
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134
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135 All non-connected boundaries of the charts of `a`.
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136 """
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137 function boundary_identifiers(a::UnstructuredAtlas)
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138 bs = MultiBlockBoundary[]
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139
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140 for (i,c) ∈ enumerate(charts(a))
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141 for b ∈ boundary_identifiers(c)
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142 mbb = MultiBlockBoundary{i,typeof(b)}()
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143
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144 if !any(cn->mbb∈cn, connections(a))
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145 push!(bs, mbb)
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146 end
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147 end
1e3089197397 Add tests for boundaries(::UnstructuredAtlas). Attempt implementation but more Charts functionality is needed
Jonatan Werpers <jonatan@werpers.com>
parents: 1940
diff changeset
148 end
1945
19efb9dacfff Fix boundaries(::UnstructuredAtlas)
Jonatan Werpers <jonatan@werpers.com>
parents: 1944
diff changeset
149
19efb9dacfff Fix boundaries(::UnstructuredAtlas)
Jonatan Werpers <jonatan@werpers.com>
parents: 1944
diff changeset
150 return bs
1936
a7c9d04b57e0 Stub out boundaries(::UnstructuredAtlas)
Jonatan Werpers <jonatan@werpers.com>
parents: 1934
diff changeset
151 end