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annotate src/Grids/manifolds.jl @ 1948:dd77b45ee1ac feature/grids/manifolds

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Add some docstrings
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 07 Feb 2025 22:37:55 +0100
parents c63116e2ec8e
children 3fb5b03162ee
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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 # TBD: Can we register a error hint for when jacobian is called with a function that doesn't have a registered jacobian?
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35
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36 boundary_identifiers(c::Chart) = boundary_identifiers(parameterspace(c))
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37
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38
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39 """
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40 Atlas
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41
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42 A collection of charts and their connections.
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43 Should implement methods for `charts` and `connections`.
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44 """
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45 abstract type Atlas end
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46
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47 """
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48 charts(::Atlas)
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49
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50 The colloction of charts in the atlas.
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51 """
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52 function charts end
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53
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54 """
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55 connections(::Atlas)
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56
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57 Collection of pairs of multiblock boundary identifiers.
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58 """
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59 function connections end
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60
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61
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62 """
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63 CartesianAtlas{D,C<:Chart,AT<:AbstractArray{C,D}} <: Atlas
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64
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65 An atlas where the charts are arranged and connected like an array.
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66 """
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67 struct CartesianAtlas{D,C<:Chart,AT<:AbstractArray{C,D}} <: Atlas
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68 charts::AT
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69 end
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70
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71 charts(a::CartesianAtlas) = a.charts
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72
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73 function connections(a::CartesianAtlas)
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74 c = Tuple{MultiBlockBoundary, MultiBlockBoundary}[]
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75
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76 for d ∈ 1:ndims(charts(a))
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77 Is = eachslice(CartesianIndices(charts(a)); dims=d)
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78 for i ∈ 1:length(Is)-1 # For each interface between slices
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79 for jk ∈ eachindex(Is[i]) # For each block in slice
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80 Iᵢⱼₖ = Tuple(Is[i][jk])
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81 Iᵢ₊₁ⱼₖ = Tuple(Is[i+1][jk])
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82 push!(c,
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83 (
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84 MultiBlockBoundary{Iᵢⱼₖ, CartesianBoundary{d,UpperBoundary}}(),
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85 MultiBlockBoundary{Iᵢ₊₁ⱼₖ, CartesianBoundary{d,LowerBoundary}}(),
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86 )
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87 )
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88 end
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89 end
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90 end
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91
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92 return c
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93 end
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94
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95 """
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96 boundary_identifiers(a::CartesianAtlas)
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97
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98 All non-connected boundaries of the charts of `a`.
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99 """
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100 function boundary_identifiers(a::CartesianAtlas)
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101 bs = MultiBlockBoundary[]
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102
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103 for d ∈ 1:ndims(charts(a))
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104 Is = eachslice(CartesianIndices(charts(a)); dims=d)
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105
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106 for (i,b) ∈ ((1,LowerBoundary),(length(Is),UpperBoundary)) # For first and last slice
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107 for jk ∈ eachindex(Is[i]) # For each block in slice
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108 Iᵢⱼₖ = Tuple(Is[i][jk])
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109 push!(bs,
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110 MultiBlockBoundary{Iᵢⱼₖ, CartesianBoundary{d,b}}(),
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111 )
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112 end
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113 end
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114 end
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115
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116 return bs
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117 end
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118
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119
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120 """
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121 UnstructuredAtlas{C<:Chart, CN<:Tuple{MultiBlockBoundary,MultiBlockBoundary}, ...} <: Atlas
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122
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123 An atlas with connections determined by a vector `MultiBlockBoundary` pairs.
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124 """
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125 struct UnstructuredAtlas{C<:Chart, CN<:Tuple{MultiBlockBoundary,MultiBlockBoundary}, CV<:AbstractVector{C}, CNV<:AbstractVector{CN}} <: Atlas
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126 charts::CV
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127 connections::CNV
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128 end
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129
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130 charts(a::UnstructuredAtlas) = a.charts
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131 connections(a::UnstructuredAtlas) = a.connections
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132
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133 """
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134 boundary_identifiers(a::UnstructuredAtlas)
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135
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136 All non-connected boundaries of the charts of `a`.
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137 """
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138 function boundary_identifiers(a::UnstructuredAtlas)
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139 bs = MultiBlockBoundary[]
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140
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141 for (i,c) ∈ enumerate(charts(a))
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142 for b ∈ boundary_identifiers(c)
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143 mbb = MultiBlockBoundary{i,typeof(b)}()
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144
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145 if !any(cn->mbb∈cn, connections(a))
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146 push!(bs, mbb)
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diff changeset
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
1e3089197397 Add tests for boundaries(::UnstructuredAtlas). Attempt implementation but more Charts functionality is needed
Jonatan Werpers <jonatan@werpers.com>
parents: 1940
diff changeset
149 end
1945
19efb9dacfff Fix boundaries(::UnstructuredAtlas)
Jonatan Werpers <jonatan@werpers.com>
parents: 1944
diff changeset
150
19efb9dacfff Fix boundaries(::UnstructuredAtlas)
Jonatan Werpers <jonatan@werpers.com>
parents: 1944
diff changeset
151 return bs
1936
a7c9d04b57e0 Stub out boundaries(::UnstructuredAtlas)
Jonatan Werpers <jonatan@werpers.com>
parents: 1934
diff changeset
152 end