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annotate SbpOperators/src/Quadrature.jl @ 300:b00eea62c78e

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Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 23 Jun 2020 17:32:54 +0200
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children 417b767c847f
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rev   line source
300
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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1 # At the moment the grid property is used all over. It could possibly be removed if we implement all the 1D operators as TensorMappings
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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2 """
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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3 Quadrature{Dim,T<:Real,N,M,K} <: TensorMapping{T,Dim,Dim}
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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4
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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5 Implements the quadrature operator `Q` of Dim dimension as a TensorMapping
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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6 The multi-dimensional tensor operator consists of a tuple of 1D DiagonalQuadrature
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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7 tensor operators.
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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8 """
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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9 struct Quadrature{Dim,T<:Real,N,M} <: TensorOperator{T,Dim}
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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10 H::NTuple{Dim,DiagonalQuadrature{T,N,M}}
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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11 end
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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12 export Quadrature
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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13
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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14 LazyTensors.domain_size(Q::Quadrature{Dim}, range_size::NTuple{Dim,Integer}) where Dim = range_size
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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15
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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16 function LazyTensors.apply(Q::Quadrature{Dim,T}, v::AbstractArray{T,Dim}, I::NTuple{Dim,Index}) where {T,Dim}
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17 error("not implemented")
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18 end
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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19
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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20 LazyTensors.apply_transpose(Q::Quadrature{Dim,T}, v::AbstractArray{T,2}, I::NTuple{2,Index}) where {Dim,T} = LazyTensors.apply(Q,v,I)
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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21
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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22 @inline function LazyTensors.apply(Q::Quadrature{1,T}, v::AbstractVector{T}, I::NTuple{1,Index}) where T
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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23 @inbounds q = apply(Q.H[1], v , I[1])
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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24 return q
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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25 end
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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26
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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27 @inline function LazyTensors.apply(Q::Quadrature{2,T}, v::AbstractArray{T,2}, I::NTuple{2,Index}) where T
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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28 # Quadrature in x direction
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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29 @inbounds vx = view(v, :, Int(I[2]))
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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30 @inbounds qx = apply(Q.H[1], vx , I[1])
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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31 # Quadrature in y-direction
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32 @inbounds vy = view(v, Int(I[1]), :)
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33 @inbounds qy = apply(Q.H[2], vy, I[2])
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34 return qx*qy
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35 end
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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36
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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37 """
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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38 Quadrature{Dim,T<:Real,N,M,K} <: TensorMapping{T,Dim,Dim}
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39
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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40 Implements the quadrature operator `H` of Dim dimension as a TensorMapping
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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41 """
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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42 struct DiagonalQuadrature{T<:Real,N,M} <: TensorOperator{T,1}
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43 h::T # The grid spacing could be included in the stencil already. Preferable?
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44 closure::NTuple{M,T}
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45 #TODO: Write a nice constructor
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46 end
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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47
b00eea62c78e Create 1D tensor mapping for diagonal norm quadratures, and make the multi-dimensional quadrature use those. Move Qudrature from laplace.jl into Quadrature.jl
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48 @inline function LazyTensors.apply(H::DiagonalQuadrature{T}, v::AbstractVector{T}, I::NTuple{1,Index}) where T
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49 return @inbounds apply(H, v, I[1])
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50 end
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51
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52 LazyTensors.apply_transpose(H::Quadrature{Dim,T}, v::AbstractArray{T,2}, I::NTuple{2,Index}) where T = LazyTensors.apply(H,v,I)
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53
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54 @inline LazyTensors.apply(H::DiagonalQuadrature, v::AbstractVector{T}, i::Index{Lower}) where T
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55 return @inbounds H.h*H.closure[Int(i)]*v[Int(i)]
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56 end
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57 @inline LazyTensors.apply(H::DiagonalQuadrature,v::AbstractVector{T}, i::Index{Upper}) where T
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58 N = length(v);
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59 return @inbounds H.h*H.closure[N-Int(i)+1]v[Int(i)]
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60 end
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61
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62 @inline LazyTensors.apply(H::DiagonalQuadrature, v::AbstractVector{T}, i::Index{Interior}) where T
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63 return @inbounds H.h*v[Int(i)]
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64 end
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65
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66 function LazyTensors.apply(H::DiagonalQuadrature, v::AbstractVector{T}, index::Index{Unknown}) where T
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67 N = length(v);
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68 r = getregion(Int(index), closuresize(H), N)
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69 i = Index(Int(index), r)
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70 return LazyTensors.apply(H, v, i)
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71 end
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72 export LazyTensors.apply
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73
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74 function closuresize(H::DiagonalQuadrature{T<:Real,N,M}) where {T,N,M}
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75 return M
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76 end