Mercurial > repos > public > sbplib_julia
comparison Grids/src/EquidistantGrid.jl @ 231:fbabfd4e8f20
Merge in boundary_conditions
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Wed, 26 Jun 2019 15:07:47 +0200 |
parents | 235f0a771c8f |
children | 1128ab4f5758 |
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144:ce56727e4232 | 231:fbabfd4e8f20 |
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1 # EquidistantGrid is a grid with equidistant grid spacing per coordinat | |
2 # direction. The domain is defined through the two points P1 = x̄₁, P2 = x̄₂ | |
3 # by the exterior product of the vectors obtained by projecting (x̄₂-x̄₁) onto | |
4 # the coordinate directions. E.g for a 2D grid with x̄₁=(-1,0) and x̄₂=(1,2) | |
5 # the domain is defined as (-1,1)x(0,2). | |
6 | |
7 export EquidistantGrid | |
8 | |
9 struct EquidistantGrid{Dim,T<:Real} <: AbstractGrid | |
10 size::NTuple{Dim, Int} # First coordinate direction stored first | |
11 limit_lower::NTuple{Dim, T} | |
12 limit_upper::NTuple{Dim, T} | |
13 inverse_spacing::NTuple{Dim, T} # The reciprocal of the grid spacing | |
14 | |
15 # General constructor | |
16 function EquidistantGrid(size::NTuple{Dim, Int}, limit_lower::NTuple{Dim, T}, limit_upper::NTuple{Dim, T}) where Dim where T | |
17 @assert all(size.>0) | |
18 @assert all(limit_upper.-limit_lower .!= 0) | |
19 inverse_spacing = (size.-1)./abs.(limit_upper.-limit_lower) | |
20 return new{Dim,T}(size, limit_lower, limit_upper, inverse_spacing) | |
21 end | |
22 end | |
23 | |
24 function Base.eachindex(grid::EquidistantGrid) | |
25 CartesianIndices(grid.size) | |
26 end | |
27 | |
28 # Returns the number of dimensions of an EquidistantGrid. | |
29 # | |
30 # @Input: grid - an EquidistantGrid | |
31 # @Return: dimension - The dimension of the grid | |
32 function dimension(grid::EquidistantGrid) | |
33 return length(grid.size) | |
34 end | |
35 | |
36 # Returns the spacing of the grid | |
37 # | |
38 function spacing(grid::EquidistantGrid) | |
39 return 1.0./grid.inverse_spacing | |
40 end | |
41 | |
42 # Computes the points of an EquidistantGrid as an array of tuples with | |
43 # the same dimension as the grid. | |
44 # | |
45 # @Input: grid - an EquidistantGrid | |
46 # @Return: points - the points of the grid. | |
47 function points(grid::EquidistantGrid) | |
48 # TODO: Make this return an abstract array? | |
49 indices = Tuple.(CartesianIndices(grid.size)) | |
50 h = spacing(grid) | |
51 return broadcast(I -> grid.limit_lower .+ (I.-1).*h, indices) | |
52 end | |
53 | |
54 function pointsalongdim(grid::EquidistantGrid, dim::Integer) | |
55 @assert dim<=dimension(grid) | |
56 @assert dim>0 | |
57 points = collect(range(grid.limit_lower[dim],stop=grid.limit_upper[dim],length=grid.size[dim])) | |
58 end |