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annotate Grids/src/EquidistantGrid.jl @ 211:1ad91e11b1f4 package_refactor

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Move DiffOps and Grids into packages
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 26 Jun 2019 10:44:20 +0200
parents EquidistantGrid.jl@99308f68e548
children 235f0a771c8f
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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 struct EquidistantGrid{Dim,T<:Real} <: AbstractGrid
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8 size::NTuple{Dim, Int} # First coordinate direction stored first
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9 limit_lower::NTuple{Dim, T}
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10 limit_upper::NTuple{Dim, T}
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11 inverse_spacing::NTuple{Dim, T} # The reciprocal of the grid spacing
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13 # General constructor
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14 function EquidistantGrid(size::NTuple{Dim, Int}, limit_lower::NTuple{Dim, T}, limit_upper::NTuple{Dim, T}) where Dim where T
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15 @assert all(size.>0)
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16 @assert all(limit_upper.-limit_lower .!= 0)
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17 inverse_spacing = (size.-1)./abs.(limit_upper.-limit_lower)
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18 return new{Dim,T}(size, limit_lower, limit_upper, inverse_spacing)
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19 end
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20 end
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21
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22 function Base.eachindex(grid::EquidistantGrid)
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23 CartesianIndices(grid.size)
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24 end
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26 # Returns the number of dimensions of an EquidistantGrid.
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27 #
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28 # @Input: grid - an EquidistantGrid
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29 # @Return: dimension - The dimension of the grid
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30 function dimension(grid::EquidistantGrid)
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31 return length(grid.size)
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32 end
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34 # Returns the spacing of the grid
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35 #
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36 function spacing(grid::EquidistantGrid)
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37 return 1.0./grid.inverse_spacing
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38 end
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40 # Computes the points of an EquidistantGrid as an array of tuples with
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41 # the same dimension as the grid.
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42 #
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43 # @Input: grid - an EquidistantGrid
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44 # @Return: points - the points of the grid.
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45 function points(grid::EquidistantGrid)
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46 # TODO: Make this return an abstract array?
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47 indices = Tuple.(CartesianIndices(grid.size))
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48 h = spacing(grid)
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49 return broadcast(I -> grid.limit_lower .+ (I.-1).*h, indices)
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50 end
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52 function pointsalongdim(grid::EquidistantGrid, dim::Integer)
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53 @assert dim<=dimension(grid)
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54 @assert dim>0
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55 points = collect(range(grid.limit_lower[dim],stop=grid.limit_upper[dim],length=grid.size[dim]))
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56 end