annotate src/Grids/grid.jl @ 1516:8d64f8981bb0 feature/grids/componentview

Remove comments and add todo
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 21 Mar 2024 07:42:19 +0100
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1 """
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2 Grid{T,D}
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3
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4 A grid with coordinates of type `T`, e.g. `SVector{3,Float64}`, and dimension
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5 `D`. The grid can be embedded in a higher dimension in which case the number
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6 of indices and the number of components of the coordinate vectors will be
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7 different.
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8
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9 All grids are expected to behave as a grid function for the coordinates.
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10
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11 `Grids` is top level abstract type for grids. A grid should implement Julia's interfaces for
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12 indexing and iteration.
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13
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14 ## Note
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15
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16 Importantly a grid does not have to be an `AbstractArray`. The reason is to
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17 allow flexible handling of special types of grids like multi-block grids, or
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18 grids with special indexing.
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19 """
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20 abstract type Grid{T,D} end
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21
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22 Base.ndims(::Grid{T,D}) where {T,D} = D
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23 Base.eltype(::Type{<:Grid{T}}) where T = T
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24
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25 Base.getindex(g::Grid, I::CartesianIndex) = g[Tuple(I)...]
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27 """
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28 coordinate_size(g)
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29
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30 The lenght of the coordinate vector of `Grid` `g`.
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31 """
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32 coordinate_size(::Type{<:Grid{T}}) where T = _ncomponents(T)
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33 coordinate_size(g::Grid) = coordinate_size(typeof(g)) # TBD: Name of this function?!
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34
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35 """
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36 component_type(gf)
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37
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38 The type of the components of the elements of `gf`.
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39 """
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40 component_type(T::Type) = eltype(eltype(T))
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41 component_type(t) = component_type(typeof(t))
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42
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43 componentview(gf, component_index...) = ArrayComponentView(gf, component_index)
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45 # REVIEW: Should this only be defined for vector-valued component types of the same dimension?
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46 # Now one can for instance do: v = [rand(2,2),rand(2,2), rand(2,1)] and cv = componentview(v,1,2)
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47 # resulting in #undef in the third component of cv.
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48 # RESPONSE: I don't think it's possible to stop the user from
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49 # doing stupid things. My inclination is to just keep it simple and let the
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50 # user read the error messages they get.
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51 struct ArrayComponentView{CT,T,D,AT <: AbstractArray{T,D}, IT} <: AbstractArray{CT,D}
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52 v::AT
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53 component_index::IT
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54
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55 function ArrayComponentView(v, component_index)
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56 CT = typeof(first(v)[component_index...])
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57 return new{CT, eltype(v), ndims(v), typeof(v), typeof(component_index)}(v,component_index)
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58 end
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59 end
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60
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61 Base.size(cv) = size(cv.v)
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62 Base.getindex(cv::ArrayComponentView, i::Int) = cv.v[i][cv.component_index...]
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63 Base.getindex(cv::ArrayComponentView, I::Vararg{Int}) = cv.v[I...][cv.component_index...] #REVIEW: Will this allocate if I... slices v? if so, we should probably use a view on v?
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64 # RESPONSE: I imagine the values of `cv` will be small static vectors most of
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65 # the time for which this won't be a problem. I say we cross that bridge when
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66 # there is an obvoius need. (Just slapping a @view on there seems to be
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67 # changing the return tyoe to a 0-dimensional array. That's where i gave up.)
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68 IndexStyle(::Type{<:ArrayComponentView{<:Any,<:Any,AT}}) where AT = IndexStyle(AT)
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69
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70 # TODO: Implement setindex!?
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71 # TODO: Implement a more general ComponentView that can handle non-AbstractArrays.
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72
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73 """
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74 refine(g::Grid, r)
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75
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76 The grid where `g` is refined by the factor `r`.
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77
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78 See also: [`coarsen`](@ref).
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79 """
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80 function refine end
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81
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82 """
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83 coarsen(g::Grid, r)
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84
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85 The grid where `g` is coarsened by the factor `r`.
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86
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87 See also: [`refine`](@ref).
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88 """
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89 function coarsen end
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90
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91 """
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92 boundary_identifiers(g::Grid)
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93
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94 Identifiers for all the boundaries of `g`.
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95 """
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96 function boundary_identifiers end
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97
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98 """
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99 boundary_grid(g::Grid, id::BoundaryIdentifier)
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100
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101 The grid for the boundary specified by `id`.
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102 """
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103 function boundary_grid end
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104 # TBD: Can we implement a version here that accepts multiple ids and grouped boundaries? Maybe we need multiblock stuff?
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105
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106 """
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107 boundary_indices(g::Grid, id::BoundaryIdentifier)
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108
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109 A collection of indices corresponding to the boundary with given id. For grids
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110 with Cartesian indexing these collections will be tuples with elements of type
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111 ``Union{Int,Colon}``.
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112
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113 When implementing this method it is expected that the returned collection can
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114 be used to index grid functions to obtain grid functions on the boundary grid.
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115 """
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116 function boundary_indices end
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117
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118 """
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119 eval_on(g::Grid, f)
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120
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121 Lazy evaluation of `f` on the grid. `f` can either be on the form `f(x,y,...)`
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122 with each coordinate as an argument, or on the form `f(x̄)` taking a
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123 coordinate vector.
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124
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125 For concrete array grid functions `map(f,g)` can be used instead.
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126 """
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127 eval_on(g::Grid, f) = eval_on(g, f, Base.IteratorSize(g))
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128 function eval_on(g::Grid, f, ::Base.HasShape)
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129 if hasmethod(f, (Any,))
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130 return LazyTensors.LazyFunctionArray((I...)->f(g[I...]), size(g))
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131 else
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132 return LazyTensors.LazyFunctionArray((I...)->f(g[I...]...), size(g))
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133 end
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134 end
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135
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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136 """
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137 eval_on(g::Grid, f::Number)
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parents: 1347
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138
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139 Lazy evaluation of a scalar `f` on the grid.
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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140 """
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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141 eval_on(g::Grid, f::Number) = return LazyTensors.LazyConstantArray(f, size(g))
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142
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Jonatan Werpers <jonatan@werpers.com>
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143 _ncomponents(::Type{<:Number}) = 1
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144 _ncomponents(T::Type{<:SVector}) = length(T)
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Jonatan Werpers <jonatan@werpers.com>
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145
455e6b4c8b02 Add a function declaration for boundary_indices
Jonatan Werpers <jonatan@werpers.com>
parents: 1407
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146