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annotate diffOp.jl @ 113:3b89aa6dc7f2 cell_based_test

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Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 08 Feb 2019 21:19:34 +0100
parents 98c788cba9bf
children d24497780ebd
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1 abstract type DiffOp end
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2
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3 # TBD: The "error("not implemented")" thing seems to be hiding good error information. How to fix that? Different way of saying that these should be implemented?
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4 function apply(D::DiffOp, v::AbstractVector, i::Int)
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5 error("not implemented")
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6 end
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7
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8 function innerProduct(D::DiffOp, u::AbstractVector, v::AbstractVector)::Real
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9 error("not implemented")
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10 end
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11
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12 function matrixRepresentation(D::DiffOp)
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13 error("not implemented")
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14 end
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15
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16 function boundaryCondition(D::DiffOp,b::Grid.BoundaryId,type)::(Closure, Penalty)
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17 error("not implemented")
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18 end
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19
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20 function interface(Du::DiffOp, Dv::DiffOp, b::Grid.BoundaryId; type)
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21 error("not implemented")
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22 end
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23
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24 abstract type Closure end
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25
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26 function apply(c::Closure, v::AbstractVector, i::Int)
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27 error("not implemented")
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28 end
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29
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30 abstract type Penalty end
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31
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32 function apply(c::Penalty, g, i::Int)
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33 error("not implemented")
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34 end
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35
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36 abstract type DiffOpCartesian{Dim} <: DiffOp end
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37
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38 # DiffOp must have a grid of dimension Dim!!!
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39 function apply!(D::DiffOpCartesian{Dim}, u::AbstractArray{T,Dim}, v::AbstractArray{T,Dim}) where {T,Dim}
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40 for I ∈ eachindex(D.grid)
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41 u[I] = apply(D, v, I)
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42 end
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43
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44 return nothing
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45 end
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46
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47 function apply_region!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}) where T
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48 apply_region!(D, u, v, Lower, Lower)
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49 apply_region!(D, u, v, Lower, Interior)
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50 apply_region!(D, u, v, Lower, Upper)
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51 apply_region!(D, u, v, Interior, Lower)
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52 apply_region!(D, u, v, Interior, Interior)
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53 apply_region!(D, u, v, Interior, Upper)
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54 apply_region!(D, u, v, Upper, Lower)
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55 apply_region!(D, u, v, Upper, Interior)
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56 apply_region!(D, u, v, Upper, Upper)
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57 return nothing
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58 end
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59
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60 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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61 N = D.grid.numberOfPointsPerDim
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62 closuresize = closureSize(D.op)
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63 for I ∈ regionindices(N, closuresize, (r1,r2))
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64 @inbounds indextuple = (Index{r1}(I[1]), Index{r2}(I[2]))
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65 @inbounds u[I] = apply(D, v, indextuple)
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66 end
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67 return nothing
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68 end
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69
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70 function apply_tiled!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}) where T
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71 apply_region_tiled!(D, u, v, Lower, Lower)
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72 apply_region_tiled!(D, u, v, Lower, Interior)
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73 apply_region_tiled!(D, u, v, Lower, Upper)
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74 apply_region_tiled!(D, u, v, Interior, Lower)
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75 apply_region_tiled!(D, u, v, Interior, Interior)
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76 apply_region_tiled!(D, u, v, Interior, Upper)
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77 apply_region_tiled!(D, u, v, Upper, Lower)
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78 apply_region_tiled!(D, u, v, Upper, Interior)
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79 apply_region_tiled!(D, u, v, Upper, Upper)
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80 return nothing
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81 end
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82
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83 using TiledIteration
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84 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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85 N = D.grid.numberOfPointsPerDim
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86 closuresize = closureSize(D.op)
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87 ri = regionindices(N, closuresize, (r1,r2))
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88
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89 for tileaxs ∈ TileIterator(axes(ri), padded_tilesize(T, (5,5), 2)) # TBD: Is this the right way, the right size?
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90 for i ∈ tileaxs[1], j ∈ tileaxs[2]
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91 I = ri[i,j]
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92 u[i,j] = apply(D, v, (Index{r1}(I[1]), Index{r2}(I[2])))
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93 end
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94 end
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95 return nothing
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96 end
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97
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98 function apply(D::DiffOp, v::AbstractVector)::AbstractVector
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99 u = zeros(eltype(v), size(v))
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100 apply!(D,v,u)
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101 return u
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102 end
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103
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104 struct Laplace{Dim,T<:Real,N,M,K} <: DiffOpCartesian{Dim}
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105 grid::Grid.EquidistantGrid{Dim,T}
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106 a::T
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107 op::D2{Float64,N,M,K}
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108 end
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109
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110 function apply(L::Laplace{Dim}, v::AbstractArray{T,Dim} where T, I::CartesianIndex{Dim}) where Dim
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111 error("not implemented")
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112 end
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113
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114 # u = L*v
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115 function apply(L::Laplace{1}, v::AbstractVector, i::Int)
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116 h = Grid.spacings(L.grid)[1]
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117 uᵢ = L.a * apply(L.op, h, v, i)
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118 return uᵢ
2
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119 end
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120
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121 using UnsafeArrays
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122 function apply(L::Laplace{2}, v::AbstractArray{T,2} where T, I::Tuple{Index{R1}, Index{R2}}) where {R1, R2}
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123 h = Grid.spacings(L.grid)
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124 # 2nd x-derivative
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125 @inbounds vx = uview(v, :, Int(I[2]))
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126 @inbounds uᵢ = L.a*apply(L.op, h[1], vx , I[1])
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127 # 2nd y-derivative
99
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128 @inbounds vy = uview(v, Int(I[1]), :)
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a274d6384e91 Apply 2d Laplace one region at a time (removing the need for branching in the innermost loop)
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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129 @inbounds uᵢ += L.a*apply(L.op, h[2], vy, I[2])
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27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
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130 return uᵢ
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947f7579ba9c Add Laplace2d
Jonatan Werpers <jonatan@werpers.com>
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131 end
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132
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133 # Slow but maybe convenient?
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134 function apply(L::Laplace{2}, v::AbstractArray{T,2} where T, i::CartesianIndex{2})
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135 I = Index{Unknown}.(Tuple(i))
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136 apply(L, v, I)
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137 end