Mercurial > repos > public > sbplib_julia
diff SbpOperators/src/constantlaplace.jl @ 286:7247e85dc1e8 tensor_mappings
Start separating ConstantStencilOp into multiple 1D tensor mappings, e.g. ConstantLaplaceOp. Sketch an implementation of the multi-D laplace tensor operator as a tuple of 1D laplace tensor operators.
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Mon, 22 Jun 2020 19:47:20 +0200 |
parents | |
children | dd621017b695 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/SbpOperators/src/constantlaplace.jl Mon Jun 22 19:47:20 2020 +0200 @@ -0,0 +1,53 @@ +#TODO: Naming?! What is this? It is a 1D tensor operator but what is then the +# potentially multi-D laplace tensor mapping then? +# Ideally I would like the below to be the laplace operator in 1D, while the +# multi-D operator is a a tuple of the 1D-operator. Possible via recursive +# definitions? Or just bad design? +""" + ConstantLaplaceOperator{T<:Real,N,M,K} <: TensorOperator{T,1} +Implements the Laplace tensor operator `L` with constant grid spacing and coefficients +in 1D dimension +""" +struct ConstantLaplaceOperator{T<:Real,N,M,K} <: TensorOperator{T,1} + h_inv::T # The grid spacing could be included in the stencil already. Preferable? + a::T # TODO: Better name? + innerStencil::Stencil{T,N} + closureStencils::NTuple{M,Stencil{T,K}} + parity::Parity +end + +@enum Parity begin + odd = -1 + even = 1 +end + +LazyTensors.domain_size(L::ConstantLaplaceOperator, range_size::NTuple{1,Integer}) = range_size + +function LazyTensors.apply(L::ConstantLaplaceOperator{T}, v::AbstractVector{T}, I::NTuple{1,Index}) where T + return L.a*apply_2nd_derivative(L, L.h_inv, v, I[1]) +end + +# Apply for different regions Lower/Interior/Upper or Unknown region +@inline function apply_2nd_derivative(L::ConstantLaplaceOperator, h_inv::Real, v::AbstractVector, i::Index{Lower}) + return @inbounds h_inv*h_inv*apply_stencil(L.closureStencils[Int(i)], v, Int(i)) +end + +@inline function apply_2nd_derivative(L::ConstantLaplaceOperator, h_inv::Real, v::AbstractVector, i::Index{Interior}) + return @inbounds h_inv*h_inv*apply_stencil(L.innerStencil, v, Int(i)) +end + +@inline function apply_2nd_derivative(L::ConstantLaplaceOperator, h_inv::Real, v::AbstractVector, i::Index{Upper}) + N = length(v) # Can we use range_size here instead? + return @inbounds h_inv*h_inv*Int(L.parity)*apply_stencil_backwards(L.closureStencils[N-Int(i)+1], v, Int(i)) +end + +@inline function apply_2nd_derivative(L::ConstantLaplaceOperator, h_inv::Real, v::AbstractVector, index::Index{Unknown}) + N = length(v) # Can we use range_size here instead? + r = getregion(Int(index), closuresize(L), N) + i = Index(Int(index), r) + return apply_2nd_derivative(op, h_inv, v, i) +end + +function closuresize(L::ConstantLaplaceOperator{T<:Real,N,M,K})::Int + return M +end