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annotate src/Grids/EquidistantGrid.jl @ 1118:6104db60b7a3 feature/lazy_arrays

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Export binary operations for LazyArrays and scalars
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 15 Jul 2022 15:23:16 +0200
parents 5b3d4a8ec3ab
children 4e4c5011140d
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1 export EquidistantGrid
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2 export spacing
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3 export inverse_spacing
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4 export restrict
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5 export boundary_identifiers
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6 export boundary_grid
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7 export refine
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8 export coarsen
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9
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10 """
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11 EquidistantGrid{Dim,T<:Real} <: AbstractGrid
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12
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13 `Dim`-dimensional equidistant grid with coordinates of type `T`.
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14 """
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15 struct EquidistantGrid{Dim,T<:Real} <: AbstractGrid
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16 size::NTuple{Dim, Int}
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17 limit_lower::NTuple{Dim, T}
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18 limit_upper::NTuple{Dim, T}
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19
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20 function EquidistantGrid{Dim,T}(size::NTuple{Dim, Int}, limit_lower::NTuple{Dim, T}, limit_upper::NTuple{Dim, T}) where {Dim,T}
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21 if any(size .<= 0)
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22 throw(DomainError("all components of size must be postive"))
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23 end
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24 if any(limit_upper.-limit_lower .<= 0)
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25 throw(DomainError("all side lengths must be postive"))
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26 end
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27 return new{Dim,T}(size, limit_lower, limit_upper)
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28 end
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29 end
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31 """
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32 EquidistantGrid(size, limit_lower, limit_upper)
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33
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34 Construct an equidistant grid with corners at the coordinates `limit_lower` and
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35 `limit_upper`.
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36
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37 The length of the domain sides are given by the components of
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38 `limit_upper-limit_lower`. E.g for a 2D grid with `limit_lower=(-1,0)` and `limit_upper=(1,2)` the domain is defined
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39 as `(-1,1)x(0,2)`. The side lengths of the grid are not allowed to be negative.
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40
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41 The number of equidistantly spaced points in each coordinate direction are given
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42 by the tuple `size`.
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43 """
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44 function EquidistantGrid(size, limit_lower, limit_upper)
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45 return EquidistantGrid{length(size), eltype(limit_lower)}(size, limit_lower, limit_upper)
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46 end
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47
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48 """
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49 EquidistantGrid{T}()
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50
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51 Constructs a 0-dimensional grid.
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52 """
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53 EquidistantGrid{T}() where T = EquidistantGrid{0,T}((),(),()) # Convenience constructor for 0-dim grid
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54
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55 """
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56 EquidistantGrid(size::Int, limit_lower::T, limit_upper::T)
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57
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58 Convenience constructor for 1D grids.
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59 """
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60 function EquidistantGrid(size::Int, limit_lower::T, limit_upper::T) where T
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61 return EquidistantGrid((size,),(limit_lower,),(limit_upper,))
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62 end
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63
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64 Base.eltype(grid::EquidistantGrid{Dim,T}) where {Dim,T} = T
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65
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66 Base.eachindex(grid::EquidistantGrid) = CartesianIndices(grid.size)
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67
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68 Base.size(g::EquidistantGrid) = g.size
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69
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70 """
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71 dimension(grid::EquidistantGrid)
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72
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73 The dimension of the grid.
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74 """
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75 dimension(grid::EquidistantGrid{Dim}) where Dim = Dim
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76
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77 """
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78 spacing(grid::EquidistantGrid)
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79
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80 The spacing between grid points.
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81 """
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82 spacing(grid::EquidistantGrid) = (grid.limit_upper.-grid.limit_lower)./(grid.size.-1)
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83
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84 """
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85 inverse_spacing(grid::EquidistantGrid)
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86
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87 The reciprocal of the spacing between grid points.
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88 """
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89 inverse_spacing(grid::EquidistantGrid) = 1 ./ spacing(grid)
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90
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91 """
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92 points(grid::EquidistantGrid)
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93
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94 The point of the grid as an array of tuples with the same dimension as the grid.
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95 The points are stored as [(x1,y1), (x1,y2), … (x1,yn);
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96 (x2,y1), (x2,y2), … (x2,yn);
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97 ⋮ ⋮ ⋮
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98 (xm,y1), (xm,y2), … (xm,yn)]
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99 """
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100 function points(grid::EquidistantGrid)
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101 indices = Tuple.(CartesianIndices(grid.size))
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102 h = spacing(grid)
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103 return broadcast(I -> grid.limit_lower .+ (I.-1).*h, indices)
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104 end
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105
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106 """
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107 restrict(::EquidistantGrid, dim)
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108
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109 Pick out given dimensions from the grid and return a grid for them.
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110 """
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111 function restrict(grid::EquidistantGrid, dim)
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112 size = grid.size[dim]
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113 limit_lower = grid.limit_lower[dim]
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114 limit_upper = grid.limit_upper[dim]
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115
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116 return EquidistantGrid(size, limit_lower, limit_upper)
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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 boundary_identifiers(::EquidistantGrid)
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122
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123 Returns a tuple containing the boundary identifiers for the grid, stored as
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124 (CartesianBoundary(1,Lower),
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125 CartesianBoundary(1,Upper),
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126 CartesianBoundary(2,Lower),
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127 ...)
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128 """
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129 boundary_identifiers(g::EquidistantGrid) = (((ntuple(i->(CartesianBoundary{i,Lower}(),CartesianBoundary{i,Upper}()),dimension(g)))...)...,)
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130
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131
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132 """
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133 boundary_grid(grid::EquidistantGrid, id::CartesianBoundary)
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134
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135 Creates the lower-dimensional restriciton of `grid` spanned by the dimensions
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136 orthogonal to the boundary specified by `id`. The boundary grid of a 1-dimensional
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137 grid is a zero-dimensional grid.
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138 """
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139 function boundary_grid(grid::EquidistantGrid, id::CartesianBoundary)
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140 dims = 1:dimension(grid)
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141 # Extract dimensions orthogonal to dim(id)
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142 orth_dims = filter(i -> i != dim(id), dims)
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143 if orth_dims == dims
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144 throw(DomainError("boundary identifier not matching grid"))
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145 end
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146 return restrict(grid,orth_dims)
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147 end
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148 boundary_grid(::EquidistantGrid{1,T},::CartesianBoundary{1}) where T = EquidistantGrid{T}()
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149
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150
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151 """
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152 refine(grid::EquidistantGrid, r::Int)
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153
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154 Refines `grid` by a factor `r`. The factor is applied to the number of
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155 intervals which is 1 less than the size of the grid.
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156
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157 See also: [`coarsen`](@ref)
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158 """
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159 function refine(grid::EquidistantGrid, r::Int)
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160 sz = size(grid)
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161 new_sz = (sz .- 1).*r .+ 1
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162 return EquidistantGrid{dimension(grid), eltype(grid)}(new_sz, grid.limit_lower, grid.limit_upper)
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163 end
907
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164
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165 """
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166 coarsen(grid::EquidistantGrid, r::Int)
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167
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168 Coarsens `grid` by a factor `r`. The factor is applied to the number of
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169 intervals which is 1 less than the size of the grid. If the number of
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170 intervals are not divisible by `r` an error is raised.
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171
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172 See also: [`refine`](@ref)
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173 """
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174 function coarsen(grid::EquidistantGrid, r::Int)
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175 sz = size(grid)
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176
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177 if !all(n -> (n % r == 0), sz.-1)
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178 throw(DomainError(r, "Size minus 1 must be divisible by the ratio."))
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179 end
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180
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181 new_sz = (sz .- 1).÷r .+ 1
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182
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183 return EquidistantGrid{dimension(grid), eltype(grid)}(new_sz, grid.limit_lower, grid.limit_upper)
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184 end