Mercurial > repos > public > sbplib_julia
annotate src/Grids/equidistant_grid.jl @ 1513:d7bc11053951
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| author | Jonatan Werpers <jonatan@werpers.com> |
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| date | Thu, 21 Mar 2024 15:36:52 +0100 |
| parents | 37cf9f79caa4 |
| children | 4df668d00d03 43aaf710463e |
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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 |
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17 # Indexing interface |
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18 Base.getindex(g::EquidistantGrid, i) = g.points[i] |
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19 Base.eachindex(g::EquidistantGrid) = eachindex(g.points) |
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20 Base.firstindex(g::EquidistantGrid) = firstindex(g.points) |
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21 Base.lastindex(g::EquidistantGrid) = lastindex(g.points) |
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22 |
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23 Base.axes(g::EquidistantGrid, d) = axes(g.points, d) |
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24 |
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25 # Iteration interface |
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26 Base.iterate(g::EquidistantGrid) = iterate(g.points) |
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27 Base.iterate(g::EquidistantGrid, state) = iterate(g.points, state) |
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28 |
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29 Base.IteratorSize(::Type{<:EquidistantGrid}) = Base.HasShape{1}() |
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30 Base.length(g::EquidistantGrid) = length(g.points) |
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31 Base.size(g::EquidistantGrid) = size(g.points) |
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32 Base.size(g::EquidistantGrid, d) = size(g.points)[d] |
| 1222 | 33 |
| 34 | |
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35 """ |
| 1222 | 36 spacing(grid::EquidistantGrid) |
| 37 | |
| 38 The spacing between grid points. | |
| 39 """ | |
| 40 spacing(g::EquidistantGrid) = step(g.points) | |
| 41 | |
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42 |
| 1222 | 43 """ |
| 44 inverse_spacing(grid::EquidistantGrid) | |
| 45 | |
| 46 The reciprocal of the spacing between grid points. | |
| 47 """ | |
| 48 inverse_spacing(g::EquidistantGrid) = 1/step(g.points) | |
| 49 | |
| 50 | |
| 51 boundary_identifiers(::EquidistantGrid) = (Lower(), Upper()) | |
| 52 boundary_grid(g::EquidistantGrid, id::Lower) = ZeroDimGrid(g[begin]) | |
| 53 boundary_grid(g::EquidistantGrid, id::Upper) = ZeroDimGrid(g[end]) | |
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54 boundary_indices(g::EquidistantGrid, id::Lower) = (1,) |
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55 boundary_indices(g::EquidistantGrid, id::Upper) = (length(g),) |
| 1222 | 56 |
| 57 """ | |
| 58 refine(g::EquidistantGrid, r::Int) | |
| 59 | |
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60 The grid where `g` is refined by the factor `r`. The factor is applied to the number of |
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61 intervals, i.e., 1 less than the size of `g`. |
| 1222 | 62 |
| 63 See also: [`coarsen`](@ref) | |
| 64 """ | |
| 65 function refine(g::EquidistantGrid, r::Int) | |
| 66 new_sz = (length(g) - 1)*r + 1 | |
| 67 return EquidistantGrid(change_length(g.points, new_sz)) | |
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68 end |
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69 |
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70 """ |
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71 coarsen(g::EquidistantGrid, r::Int) |
| 1222 | 72 |
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73 The grid where `g` is coarsened by the factor `r`. The factor is applied to the number of |
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74 intervals, i.e., 1 less than the size of `g`. If the number of |
| 1222 | 75 intervals are not divisible by `r` an error is raised. |
| 76 | |
| 77 See also: [`refine`](@ref) | |
| 78 """ | |
| 79 function coarsen(g::EquidistantGrid, r::Int) | |
| 80 if (length(g)-1)%r != 0 | |
| 81 throw(DomainError(r, "Size minus 1 must be divisible by the ratio.")) | |
| 82 end | |
| 83 | |
| 84 new_sz = (length(g) - 1)÷r + 1 | |
| 85 | |
| 1249 | 86 return EquidistantGrid(change_length(g.points, new_sz)) |
| 1222 | 87 end |
| 88 | |
| 89 | |
| 90 """ | |
| 91 equidistant_grid(size::Dims, limit_lower, limit_upper) | |
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92 |
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93 Construct an equidistant grid with corners at the coordinates `limit_lower` and |
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94 `limit_upper`. |
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95 |
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96 The length of the domain sides are given by the components of |
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97 `limit_upper-limit_lower`. E.g for a 2D grid with `limit_lower=(-1,0)` and |
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98 `limit_upper=(1,2)` the domain is defined as `(-1,1)x(0,2)`. The side lengths |
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99 of the grid are not allowed to be negative. |
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100 |
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101 The number of equispaced points in each coordinate direction are given |
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102 by the tuple `size`. |
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103 |
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104 Note: If `limit_lower` and `limit_upper` are integers and `size` would allow a |
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105 completely integer grid, `equidistant_grid` will still return a floating point |
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106 grid. This simplifies the implementation and avoids certain surprise |
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107 behaviors. |
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108 """ |
| 1222 | 109 function equidistant_grid(size::Dims, limit_lower, limit_upper) |
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110 gs = map(equidistant_grid, size, limit_lower, limit_upper) |
| 1222 | 111 return TensorGrid(gs...) |
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112 end |
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113 |
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114 """ |
| 1222 | 115 equidistant_grid(size::Int, limit_lower::T, limit_upper::T) |
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116 |
| 1222 | 117 Constructs a 1D equidistant grid. |
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118 """ |
| 1222 | 119 function equidistant_grid(size::Int, limit_lower::T, limit_upper::T) where T |
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120 if any(size .<= 0) |
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121 throw(DomainError("size must be postive")) |
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122 end |
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123 |
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124 if any(limit_upper.-limit_lower .<= 0) |
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125 throw(DomainError("side length must be postive")) |
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126 end |
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127 return EquidistantGrid(range(limit_lower, limit_upper, length=size)) # TBD: Should it use LinRange instead? |
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128 end |
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129 |
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130 CartesianBoundary{D,BID} = TensorGridBoundary{D,BID} # TBD: What should we do about the naming of this boundary? |
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131 |
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132 |
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133 """ |
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134 change_length(r::AbstractRange, n) |
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135 |
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136 Change the length of `r` to `n`, keeping the same start and stop. |
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137 """ |
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138 function change_length end |
| 908 | 139 |
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140 change_length(r::UnitRange, n) = StepRange{Int,Int}(range(r[begin], r[end], n)) |
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141 change_length(r::StepRange, n) = StepRange{Int,Int}(range(r[begin], r[end], n)) |
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142 change_length(r::StepRangeLen, n) = range(r[begin], r[end], n) |
| 1222 | 143 change_length(r::LinRange, n) = LinRange(r[begin], r[end], n) |