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annotate src/SbpOperators/quadrature/inverse_diagonal_quadrature.jl @ 504:21fba50cb5b0 feature/quadrature_as_outer_product

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Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to: - Replace the types Quadrature and InverseQuadrature by functions returning outer products of the 1D operators. - Avoid convoluted naming of types. DiagonalInnerProduct is now renamed to DiagonalQuadrature, similarly for InverseDiagonalInnerProduct.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sat, 07 Nov 2020 13:07:31 +0100
parents src/SbpOperators/quadrature/inverse_diagonal_inner_product.jl@0d93d406c222
children c2f991b819fc
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21fba50cb5b0 Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 362
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1 """
21fba50cb5b0 Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 362
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2 inverse_diagonal_quadrature(g,quadrature_closure)
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parents: 362
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3
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parents: 362
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4 Constructs the diagonal quadrature inverse operator `Qi` on a grid of `Dim` dimensions as
21fba50cb5b0 Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 362
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5 a `TensorMapping`. The one-dimensional operator is a InverseDiagonalQuadrature, while
21fba50cb5b0 Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 362
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6 the multi-dimensional operator is the outer-product of the one-dimensional operators
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parents: 362
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7 in each coordinate direction.
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8 """
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parents: 362
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9 function inverse_diagonal_quadrature(g::EquidistantGrid{Dim}, quadrature_closure) where Dim
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parents: 362
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10 Hi = InverseDiagonalQuadrature(restrict(g,1), quadrature_closure)
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parents: 362
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11 for i ∈ 2:Dim
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parents: 362
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12 Hi = Hi⊗InverseDiagonalQuadrature(restrict(g,i), quadrature_closure)
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parents: 362
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13 end
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parents: 362
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14 return Hi
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parents: 362
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15 end
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parents: 362
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16 export inverse_diagonal_quadrature
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parents: 362
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17
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parents: 362
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18
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parents: 362
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19 """
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parents: 362
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20 InverseDiagonalQuadrature{Dim,T<:Real,M} <: TensorMapping{T,1,1}
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21
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22 Implements the inverse diagonal inner product operator `Hi` of as a 1D TensorOperator
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23 """
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24 struct InverseDiagonalQuadrature{T<:Real,M} <: TensorMapping{T,1,1}
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25 h_inv::T
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26 closure::NTuple{M,T}
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27 size::Tuple{Int}
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28 end
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29 export InverseDiagonalQuadrature
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31 function InverseDiagonalQuadrature(g::EquidistantGrid{1}, quadrature_closure)
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32 return InverseDiagonalQuadrature(inverse_spacing(g)[1], 1 ./ quadrature_closure, size(g))
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33 end
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34
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36 LazyTensors.range_size(Hi::InverseDiagonalQuadrature) = Hi.size
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37 LazyTensors.domain_size(Hi::InverseDiagonalQuadrature) = Hi.size
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parents: 344
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40 function LazyTensors.apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, I::Index{Lower}) where T
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parents: 362
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41 return @inbounds Hi.h_inv*Hi.closure[Int(I)]*v[Int(I)]
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42 end
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43
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44 function LazyTensors.apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, I::Index{Upper}) where T
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45 N = length(v);
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46 return @inbounds Hi.h_inv*Hi.closure[N-Int(I)+1]*v[Int(I)]
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47 end
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48
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49 function LazyTensors.apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, I::Index{Interior}) where T
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50 return @inbounds Hi.h_inv*v[Int(I)]
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51 end
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52
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parents: 362
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53 function LazyTensors.apply(Hi::InverseDiagonalQuadrature, v::AbstractVector{T}, index::Index{Unknown}) where T
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54 N = length(v);
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55 r = getregion(Int(index), closuresize(Hi), N)
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56 i = Index(Int(index), r)
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57 return LazyTensors.apply(Hi, v, i)
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58 end
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59
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parents: 362
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60 LazyTensors.apply_transpose(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, I::Index) where T = LazyTensors.apply(Hi,v,I)
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61
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62
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parents: 362
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63 closuresize(Hi::InverseDiagonalQuadrature{T,M}) where {T,M} = M
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64 export closuresize