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annotate src/Grids/EquidistantGrid.jl @ 352:a18bd337a280 feature/equidistant_grid/subgrid

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Add function for getting a one dimensional grid for a given dimension from a equidistant grid
author Jonatan Werpers <jonatan@werpers.com>
date Sun, 27 Sep 2020 14:38:05 +0200
parents 01b851161018
children 8257cc75ea6b
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614b56a017b9 Split grid.jl into AbstractGrid.jl and EquidistantGrid.jl
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1 # EquidistantGrid is a grid with equidistant grid spacing per coordinat
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2 # direction. The domain is defined through the two points P1 = x̄₁, P2 = x̄₂
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3 # by the exterior product of the vectors obtained by projecting (x̄₂-x̄₁) onto
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4 # the coordinate directions. E.g for a 2D grid with x̄₁=(-1,0) and x̄₂=(1,2)
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5 # the domain is defined as (-1,1)x(0,2).
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7 export EquidistantGrid
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9 struct EquidistantGrid{Dim,T<:Real} <: AbstractGrid
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10 size::NTuple{Dim, Int} # First coordinate direction stored first
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11 limit_lower::NTuple{Dim, T}
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12 limit_upper::NTuple{Dim, T}
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13 inverse_spacing::NTuple{Dim, T} # Reciprocal of grid spacing
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15 # General constructor
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16 function EquidistantGrid(size::NTuple{Dim, Int}, limit_lower::NTuple{Dim, T}, limit_upper::NTuple{Dim, T}) where Dim where T
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17 @assert all(size.>0)
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18 @assert all(limit_upper.-limit_lower .!= 0)
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19 inverse_spacing = (size.-1)./ abs.(limit_upper.-limit_lower)
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20 return new{Dim,T}(size, limit_lower, limit_upper, inverse_spacing)
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21 end
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22 end
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24 function EquidistantGrid(size::Int, limit_lower::T, limit_upper::T) where T
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25 return EquidistantGrid((size,),(limit_lower,),(limit_upper,))
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26 end
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28 function Base.eachindex(grid::EquidistantGrid)
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29 CartesianIndices(grid.size)
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30 end
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32 Base.size(g::EquidistantGrid) = g.size
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33
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34 # Returns the number of dimensions of an EquidistantGrid.
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35 #
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36 # @Input: grid - an EquidistantGrid
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37 # @Return: dimension - The dimension of the grid
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38 function dimension(grid::EquidistantGrid)
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39 return length(grid.size)
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40 end
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42 # Returns the reciprocal of the spacing of the grid
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43 #
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44 function inverse_spacing(grid::EquidistantGrid)
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45 return grid.inverse_spacing
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46 end
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47 export inverse_spacing
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49 # Returns the reciprocal of the spacing of the grid
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50 #
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51 # TODO: Evaluate if divisions affect performance
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52 function spacing(grid::EquidistantGrid)
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53 return 1.0./grid.inverse_spacing
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54 end
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55 export spacing
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57 # Computes the points of an EquidistantGrid as an array of tuples with
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58 # the same dimension as the grid.
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59 #
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60 # @Input: grid - an EquidistantGrid
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61 # @Return: points - the points of the grid.
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62 function points(grid::EquidistantGrid)
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63 # TODO: Make this return an abstract array?
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64 indices = Tuple.(CartesianIndices(grid.size))
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65 h = spacing(grid)
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66 return broadcast(I -> grid.limit_lower .+ (I.-1).*h, indices)
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67 end
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69 function subgrid(grid::EquidistantGrid, dim::Integer)
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70 size = grid.size[dim]
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71 limit_lower = grid.limit_lower[dim]
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72 limit_upper = grid.limit_upper[dim]
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74 return EquidistantGrid(size, limit_lower, limit_upper)
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75 end
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76 export subgrid
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78 function pointsalongdim(grid::EquidistantGrid, dim::Integer)
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79 @assert dim<=dimension(grid)
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80 @assert dim>0
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81 points = collect(range(grid.limit_lower[dim],stop=grid.limit_upper[dim],length=grid.size[dim]))
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82 end