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annotate src/SbpOperators/volumeops/volume_operator.jl @ 810:a4d7ca5de3c6 refactor/sbp_operators_method_signatures

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Review: Suggested changes to volume_operator.jl
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Mon, 20 Sep 2021 20:36:20 +0200
parents b6c0963100cd
children ae28f1d7ef5e
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1 """
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2 volume_operator(grid, inner_stencil, closure_stencils, parity, direction)
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3
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4 Creates a volume operator on a `Dim`-dimensional grid acting along the
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5 specified coordinate `direction`. The action of the operator is determined by
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6 the stencils `inner_stencil` and `closure_stencils`. When `Dim=1`, the
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7 corresponding `VolumeOperator` tensor mapping is returned. When `Dim>1`, the
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8 returned operator is the appropriate outer product of a one-dimensional
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9 operators and `IdentityMapping`s, e.g for `Dim=3` the volume operator in the
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10 y-direction is `I⊗op⊗I`.
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11 """
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12 # Review: The type parameters Dim, T in the signature can be removed,
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13 # by the following changes:
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14 # one_d_grids = restrict.(Ref(grid), Tuple(1:Dim)) -->
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15 # one_d_grids = restrict.(Ref(grid), Tuple(1:dimension(grid)))
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16 # and
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17 # Is = IdentityMapping{T}.(size.(one_d_grids)) -->
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18 # Is = IdentityMapping{eltype(grid)}.(size.(one_d_grids))
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19 function volume_operator(grid::EquidistantGrid{Dim,T}, inner_stencil, closure_stencils, parity, direction) where {Dim,T}
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20 #TODO: Check that direction <= Dim?
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21
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22 # Create 1D volume operator in along coordinate direction
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23 op = VolumeOperator(restrict(grid, direction), inner_stencil, closure_stencils, parity)
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24 # Create 1D IdentityMappings for each coordinate direction
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25 one_d_grids = restrict.(Ref(grid), Tuple(1:Dim))
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26 Is = IdentityMapping{T}.(size.(one_d_grids))
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27 # Formulate the correct outer product sequence of the identity mappings and
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28 # the volume operator
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29 parts = Base.setindex(Is, op, direction)
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30 return foldl(⊗, parts)
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31 end
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33 """
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34 VolumeOperator{T,N,M,K} <: TensorOperator{T,1}
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35 Implements a one-dimensional constant coefficients volume operator
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36 """
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37 struct VolumeOperator{T,N,M,K} <: TensorMapping{T,1,1}
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38 inner_stencil::Stencil{T,N}
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39 closure_stencils::NTuple{M,Stencil{T,K}}
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40 size::NTuple{1,Int}
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41 parity::Parity
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42 end
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44 function VolumeOperator(grid::EquidistantGrid{1}, inner_stencil, closure_stencils, parity)
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45 return VolumeOperator(inner_stencil, Tuple(closure_stencils), size(grid), parity)
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46 end
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48 closure_size(::VolumeOperator{T,N,M}) where {T,N,M} = M
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50 LazyTensors.range_size(op::VolumeOperator) = op.size
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51 LazyTensors.domain_size(op::VolumeOperator) = op.size
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53 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i::Index{Lower}) where T
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54 return @inbounds apply_stencil(op.closure_stencils[Int(i)], v, Int(i))
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55 end
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57 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i::Index{Interior}) where T
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58 return apply_stencil(op.inner_stencil, v, Int(i))
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59 end
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61 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i::Index{Upper}) where T
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62 return @inbounds Int(op.parity)*apply_stencil_backwards(op.closure_stencils[op.size[1]-Int(i)+1], v, Int(i))
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63 end
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65 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i) where T
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66 r = getregion(i, closure_size(op), op.size[1])
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67 return LazyTensors.apply(op, v, Index(i, r))
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68 end