annotate Grids/src/EquidistantGrid.jl @ 261:01017d2b46b0 boundary_conditions

Store grid spacing as property in EquidistantGrid
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 26 Nov 2019 08:19:22 -0800
parents d8f42733f392
children f67ce2eb6019
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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 spacing::NTuple{Dim, T} # Grid spacing
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14 inverse_spacing::NTuple{Dim, T} # Reciprocal of grid spacing
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16 # General constructor
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17 function EquidistantGrid(size::NTuple{Dim, Int}, limit_lower::NTuple{Dim, T}, limit_upper::NTuple{Dim, T}) where Dim where T
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18 @assert all(size.>0)
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19 @assert all(limit_upper.-limit_lower .!= 0)
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20 spacing = abs.(limit_upper.-limit_lower)./(size.-1)
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21 inverse_spacing = 1.0./spacing
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22 return new{Dim,T}(size, limit_lower, limit_upper, spacing, inverse_spacing)
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23 end
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24 end
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26 function Base.eachindex(grid::EquidistantGrid)
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27 CartesianIndices(grid.size)
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28 end
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30 Base.size(g::EquidistantGrid) = g.size
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32 # Returns the number of dimensions of an EquidistantGrid.
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33 #
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34 # @Input: grid - an EquidistantGrid
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35 # @Return: dimension - The dimension of the grid
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36 function dimension(grid::EquidistantGrid)
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37 return length(grid.size)
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38 end
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40 # TODO: Keep the below functions or just use properties?
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41 # Returns the reciprocal of the spacing of the grid
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42 #
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43 function inverse_spacing(grid::EquidistantGrid)
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44 return grid.inverse_spacing
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45 end
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46 export inverse_spacing
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48 # Returns the reciprocal of the spacing of the grid
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49 #
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50 function spacing(grid::EquidistantGrid)
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51 return grid.spacing
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52 end
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53 export spacing
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55 # Computes the points of an EquidistantGrid as an array of tuples with
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56 # the same dimension as the grid.
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57 #
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58 # @Input: grid - an EquidistantGrid
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59 # @Return: points - the points of the grid.
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60 function points(grid::EquidistantGrid)
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61 # TODO: Make this return an abstract array?
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62 indices = Tuple.(CartesianIndices(grid.size))
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63 h = spacing(grid)
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64 return broadcast(I -> grid.limit_lower .+ (I.-1).*h, indices)
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65 end
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67 function pointsalongdim(grid::EquidistantGrid, dim::Integer)
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68 @assert dim<=dimension(grid)
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69 @assert dim>0
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70 points = collect(range(grid.limit_lower[dim],stop=grid.limit_upper[dim],length=grid.size[dim]))
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71 end