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annotate src/SbpOperators/quadrature/diagonal_quadrature.jl @ 507:576c6d1acc28 feature/quadrature_as_outer_product

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Make function naming more consistent.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sat, 07 Nov 2020 13:31:55 +0100
parents c2f991b819fc
children 09ae5b519b4c
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9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
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1 """
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2 diagonal_quadrature(g,quadrature_closure)
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3
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4 Constructs the diagonal quadrature operator `H` on a grid of `Dim` dimensions as
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5 a `TensorMapping`. The one-dimensional operator is a `DiagonalQuadrature`, while
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parents: 362
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6 the multi-dimensional operator is the outer-product of the
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parents: 362
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7 one-dimensional operators in each coordinate direction.
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8 """
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9 function diagonal_quadrature(g::EquidistantGrid{Dim}, quadrature_closure) where Dim
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10 H = DiagonalQuadrature(restrict(g,1), quadrature_closure)
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11 for i ∈ 2:Dim
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12 H = H⊗DiagonalQuadrature(restrict(g,i), quadrature_closure)
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13 end
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14 return H
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15 end
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16 export diagonal_quadrature
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17
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18 """
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19 DiagonalQuadrature{T,M} <: TensorMapping{T,1,1}
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20
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21 Implements the one-dimensional diagonal quadrature operator as a `TensorMapping
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22 TODO: Elaborate on properties
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23 """
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24 struct DiagonalQuadrature{T,M} <: TensorMapping{T,1,1}
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25 h::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 DiagonalQuadrature
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30
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31 """
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32 DiagonalQuadrature(g, quadrature_closure)
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33
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34 Constructs the `DiagonalQuadrature` defined by the `EquidistantGrid` `g` and
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35 closure stencil `quadrature_closure`.
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36 """
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37 function DiagonalQuadrature(g::EquidistantGrid{1}, quadrature_closure)
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38 return DiagonalQuadrature(spacing(g)[1], quadrature_closure, size(g))
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39 end
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
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40
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41 LazyTensors.range_size(H::DiagonalQuadrature) = H.size
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42 LazyTensors.domain_size(H::DiagonalQuadrature) = H.size
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43
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44 function LazyTensors.apply(H::DiagonalQuadrature{T}, v::AbstractVector{T}, I::Index) where T
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45 return @inbounds apply(H, v, I)
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46 end
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47
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48 function LazyTensors.apply(H::DiagonalQuadrature{T}, v::AbstractVector{T}, I::Index{Lower}) where T
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49 return @inbounds H.h*H.closure[Int(I)]*v[Int(I)]
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50 end
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52 function LazyTensors.apply(H::DiagonalQuadrature{T},v::AbstractVector{T}, I::Index{Upper}) where T
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53 N = length(v);
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54 return @inbounds H.h*H.closure[N-Int(I)+1]*v[Int(I)]
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55 end
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57 function LazyTensors.apply(H::DiagonalQuadrature{T}, v::AbstractVector{T}, I::Index{Interior}) where T
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58 return @inbounds H.h*v[Int(I)]
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59 end
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61 function LazyTensors.apply(H::DiagonalQuadrature{T}, v::AbstractVector{T}, index::Index{Unknown}) where T
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62 N = length(v);
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63 r = getregion(Int(index), closure_size(H), N)
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64 i = Index(Int(index), r)
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65 return LazyTensors.apply(H, v, i)
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66 end
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68 LazyTensors.apply_transpose(H::DiagonalQuadrature{T}, v::AbstractVector{T}, I::Index) where T = LazyTensors.apply(H,v,I)
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70 """
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71 closure_size(H)
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72 Returns the size of the closure stencil of a DiagonalQuadrature `H`.
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73 """
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74 closure_size(H::DiagonalQuadrature{T,M}) where {T,M} = M
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75 export closure_size