Mercurial > repos > public > sbplib_julia
annotate src/Grids/equidistant_grid.jl @ 1340:c0da6ea50732 refactor/grids
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| author | Jonatan Werpers <jonatan@werpers.com> |
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| date | Mon, 08 May 2023 17:36:55 +0200 |
| parents | cca45af5e724 |
| children | 760a4a1ec4b7 |
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1 """ |
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2 EquidistantGrid{T,R<:AbstractRange{T}} <: Grid{T,1} |
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3 |
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4 A one-dimensional equidistant grid. Most users are expected to use |
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5 [`equidistant_grid`](@ref) for constructing equidistant grids. |
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6 |
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7 See also: [`equidistant_grid`](@ref) |
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8 |
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9 |
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10 ## Note |
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11 The type of range used for the points can likely impact performance. |
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12 """ |
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13 struct EquidistantGrid{T,R<:AbstractRange{T}} <: Grid{T,1} |
| 1222 | 14 points::R |
| 15 end | |
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16 |
| 1222 | 17 Base.eachindex(g::EquidistantGrid) = eachindex(g.points) |
| 18 | |
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19 # Indexing interface |
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20 Base.getindex(g::EquidistantGrid, i) = g.points[i] |
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21 Base.firstindex(g::EquidistantGrid) = firstindex(g.points) |
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22 Base.lastindex(g::EquidistantGrid) = lastindex(g.points) |
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23 |
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24 # Iteration interface |
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25 Base.iterate(g::EquidistantGrid) = iterate(g.points) |
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26 Base.iterate(g::EquidistantGrid, state) = iterate(g.points, state) |
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27 |
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28 Base.IteratorSize(::Type{<:EquidistantGrid}) = Base.HasShape{1}() |
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29 Base.length(g::EquidistantGrid) = length(g.points) |
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30 Base.size(g::EquidistantGrid) = size(g.points) |
| 1222 | 31 |
| 32 | |
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33 """ |
| 1222 | 34 spacing(grid::EquidistantGrid) |
| 35 | |
| 36 The spacing between grid points. | |
| 37 """ | |
| 38 spacing(g::EquidistantGrid) = step(g.points) | |
| 39 | |
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40 |
| 1222 | 41 """ |
| 42 inverse_spacing(grid::EquidistantGrid) | |
| 43 | |
| 44 The reciprocal of the spacing between grid points. | |
| 45 """ | |
| 46 inverse_spacing(g::EquidistantGrid) = 1/step(g.points) | |
| 47 | |
| 48 | |
| 49 boundary_identifiers(::EquidistantGrid) = (Lower(), Upper()) | |
| 50 boundary_grid(g::EquidistantGrid, id::Lower) = ZeroDimGrid(g[begin]) | |
| 51 boundary_grid(g::EquidistantGrid, id::Upper) = ZeroDimGrid(g[end]) | |
| 52 | |
| 53 | |
| 54 """ | |
| 55 refine(g::EquidistantGrid, r::Int) | |
| 56 | |
| 57 Refines `grid` by a factor `r`. The factor is applied to the number of | |
| 58 intervals which is 1 less than the size of the grid. | |
| 59 | |
| 60 See also: [`coarsen`](@ref) | |
| 61 """ | |
| 62 function refine(g::EquidistantGrid, r::Int) | |
| 63 new_sz = (length(g) - 1)*r + 1 | |
| 64 return EquidistantGrid(change_length(g.points, new_sz)) | |
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65 end |
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66 |
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67 """ |
| 1222 | 68 coarsen(grid::EquidistantGrid, r::Int) |
| 69 | |
| 70 Coarsens `grid` by a factor `r`. The factor is applied to the number of | |
| 71 intervals which is 1 less than the size of the grid. If the number of | |
| 72 intervals are not divisible by `r` an error is raised. | |
| 73 | |
| 74 See also: [`refine`](@ref) | |
| 75 """ | |
| 76 function coarsen(g::EquidistantGrid, r::Int) | |
| 77 if (length(g)-1)%r != 0 | |
| 78 throw(DomainError(r, "Size minus 1 must be divisible by the ratio.")) | |
| 79 end | |
| 80 | |
| 81 new_sz = (length(g) - 1)÷r + 1 | |
| 82 | |
| 1249 | 83 return EquidistantGrid(change_length(g.points, new_sz)) |
| 1222 | 84 end |
| 85 | |
| 86 | |
| 87 """ | |
| 88 equidistant_grid(size::Dims, limit_lower, limit_upper) | |
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89 |
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90 Construct an equidistant grid with corners at the coordinates `limit_lower` and |
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91 `limit_upper`. |
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92 |
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93 The length of the domain sides are given by the components of |
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94 `limit_upper-limit_lower`. E.g for a 2D grid with `limit_lower=(-1,0)` and |
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95 `limit_upper=(1,2)` the domain is defined as `(-1,1)x(0,2)`. The side lengths |
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96 of the grid are not allowed to be negative. |
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97 |
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98 The number of equidistantly spaced points in each coordinate direction are given |
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99 by the tuple `size`. |
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100 |
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101 Note: If `limit_lower` and `limit_upper` are integers and `size` would allow a |
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102 completely integer grid, `equidistant_grid` will still return a floating point |
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103 grid. This simlifies the implementation and avoids certain surprise |
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104 behaviours. |
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105 """ |
| 1222 | 106 function equidistant_grid(size::Dims, limit_lower, limit_upper) |
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107 gs = map(equidistant_grid, size, limit_lower, limit_upper) |
| 1222 | 108 return TensorGrid(gs...) |
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109 end |
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110 |
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111 """ |
| 1222 | 112 equidistant_grid(size::Int, limit_lower::T, limit_upper::T) |
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113 |
| 1222 | 114 Constructs a 1D equidistant grid. |
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115 """ |
| 1222 | 116 function equidistant_grid(size::Int, limit_lower::T, limit_upper::T) where T |
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117 if any(size .<= 0) |
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118 throw(DomainError("size must be postive")) |
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119 end |
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120 |
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121 if any(limit_upper.-limit_lower .<= 0) |
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122 throw(DomainError("side length must be postive")) |
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123 end |
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124 return EquidistantGrid(range(limit_lower, limit_upper, length=size)) # TBD: Should it use LinRange instead? |
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125 end |
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126 |
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127 CartesianBoundary{D,BID} = TensorGridBoundary{D,BID} # TBD: What should we do about the naming of this boundary? |
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128 |
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129 |
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130 """ |
| 1222 | 131 change_length(::AbstractRange, n) |
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132 |
| 1222 | 133 Change the length of a range to `n`, keeping the same start and stop. |
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134 """ |
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135 function change_length end |
| 908 | 136 |
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137 change_length(r::UnitRange, n) = StepRange{Int,Int}(range(r[begin], r[end], n)) |
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138 change_length(r::StepRange, n) = StepRange{Int,Int}(range(r[begin], r[end], n)) |
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139 change_length(r::StepRangeLen, n) = range(r[begin], r[end], n) |
| 1222 | 140 change_length(r::LinRange, n) = LinRange(r[begin], r[end], n) |