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annotate DiffOps/src/DiffOps.jl @ 229:cd60382f392b boundary_conditions

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Merge
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 26 Jun 2019 14:45:24 +0200
parents eb8525066f9b 5acef2d5db2e
children a5fdc00d5070
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1 module DiffOps
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2
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3 using RegionIndices
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4 using SbpOperators
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5 using Grids
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6
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7 """
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8 DiffOp
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9
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10 Supertype of differential operator discretisations.
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11 The action of the DiffOp is defined in the method
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12 apply(D::DiffOp, v::AbstractVector, I...)
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13 """
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14 abstract type DiffOp end
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15
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16 function apply end
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17
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18 function matrixRepresentation(D::DiffOp)
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19 error("not implemented")
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20 end
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21
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22 abstract type DiffOpCartesian{Dim} <: DiffOp end
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23
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24 # DiffOp must have a grid of dimension Dim!!!
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25 function apply!(D::DiffOpCartesian{Dim}, u::AbstractArray{T,Dim}, v::AbstractArray{T,Dim}) where {T,Dim}
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26 for I ∈ eachindex(D.grid)
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27 u[I] = apply(D, v, I)
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28 end
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29
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30 return nothing
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31 end
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32 export apply!
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33
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34 function apply_region!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}) where T
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35 apply_region!(D, u, v, Lower, Lower)
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36 apply_region!(D, u, v, Lower, Interior)
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37 apply_region!(D, u, v, Lower, Upper)
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38 apply_region!(D, u, v, Interior, Lower)
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39 apply_region!(D, u, v, Interior, Interior)
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40 apply_region!(D, u, v, Interior, Upper)
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41 apply_region!(D, u, v, Upper, Lower)
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42 apply_region!(D, u, v, Upper, Interior)
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43 apply_region!(D, u, v, Upper, Upper)
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44 return nothing
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45 end
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46
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47 # Maybe this should be split according to b3fbef345810 after all?! Seems like it makes performance more predictable
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48 function apply_region!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}, r1::Type{<:Region}, r2::Type{<:Region}) where T
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49 for I ∈ regionindices(D.grid.size, closureSize(D.op), (r1,r2))
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50 @inbounds indextuple = (Index{r1}(I[1]), Index{r2}(I[2]))
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51 @inbounds u[I] = apply(D, v, indextuple)
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52 end
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53 return nothing
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54 end
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55 export apply_region!
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56
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57 function apply_tiled!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}) where T
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58 apply_region_tiled!(D, u, v, Lower, Lower)
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59 apply_region_tiled!(D, u, v, Lower, Interior)
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60 apply_region_tiled!(D, u, v, Lower, Upper)
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61 apply_region_tiled!(D, u, v, Interior, Lower)
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62 apply_region_tiled!(D, u, v, Interior, Interior)
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63 apply_region_tiled!(D, u, v, Interior, Upper)
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64 apply_region_tiled!(D, u, v, Upper, Lower)
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65 apply_region_tiled!(D, u, v, Upper, Interior)
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66 apply_region_tiled!(D, u, v, Upper, Upper)
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67 return nothing
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68 end
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69
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70 using TiledIteration
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71 function apply_region_tiled!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}, r1::Type{<:Region}, r2::Type{<:Region}) where T
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72 ri = regionindices(D.grid.size, closureSize(D.op), (r1,r2))
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73 # TODO: Pass Tilesize to function
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74 for tileaxs ∈ TileIterator(axes(ri), padded_tilesize(T, (5,5), 2))
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75 for j ∈ tileaxs[2], i ∈ tileaxs[1]
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76 I = ri[i,j]
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77 u[I] = apply(D, v, (Index{r1}(I[1]), Index{r2}(I[2])))
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78 end
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79 end
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80 return nothing
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81 end
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82 export apply_region_tiled!
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83
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84 function apply(D::DiffOp, v::AbstractVector)::AbstractVector
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85 u = zeros(eltype(v), size(v))
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86 apply!(D,v,u)
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87 return u
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88 end
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89
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90 export apply
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91
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92 """
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93 A BoundaryCondition should implement the method
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94 sat(::DiffOp, v::AbstractArray, data::AbstractArray, ...)
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95 """
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96 abstract type BoundaryCondition end
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97
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98
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99 include("laplace.jl")
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100 export Laplace
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101
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102
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103 end # module