Mercurial > repos > public > sbplib_julia
changeset 1067:af64233419d3
Merge feature/nested_stencils
author | Jonatan Werpers <jonatan@werpers.com> |
---|---|
date | Wed, 23 Mar 2022 13:30:10 +0100 |
parents | 396278072f18 (current diff) d13f84dc267a (diff) |
children | 0b0444adacd3 2b6298905692 |
files | |
diffstat | 3 files changed, 260 insertions(+), 33 deletions(-) [+] |
line wrap: on
line diff
--- a/src/SbpOperators/stencil.jl Wed Mar 23 13:09:31 2022 +0100 +++ b/src/SbpOperators/stencil.jl Wed Mar 23 13:30:10 2022 +0100 @@ -1,11 +1,12 @@ export CenteredStencil +export CenteredNestedStencil struct Stencil{T,N} - range::Tuple{Int,Int} + range::UnitRange{Int64} weights::NTuple{N,T} - function Stencil(range::Tuple{Int,Int},weights::NTuple{N,T}) where {T, N} - @assert range[2]-range[1]+1 == N + function Stencil(range::UnitRange,weights::NTuple{N,T}) where {T, N} + @assert length(range) == N new{T,N}(range,weights) end end @@ -15,27 +16,30 @@ Create a stencil with the given weights with element `center` as the center of the stencil. """ -function Stencil(weights::Vararg{T}; center::Int) where T # Type parameter T makes sure the weights are valid for the Stencil constuctors and throws an earlier, more readable, error +function Stencil(weights...; center::Int) + weights = promote(weights...) N = length(weights) - range = (1, N) .- center + range = (1:N) .- center return Stencil(range, weights) end -function Stencil{T}(s::Stencil) where T - return Stencil(s.range, T.(s.weights)) -end +Stencil{T,N}(s::Stencil{S,N}) where {T,S,N} = Stencil(s.range, T.(s.weights)) +Stencil{T}(s::Stencil) where T = Stencil{T,length(s)}(s) -Base.convert(::Type{Stencil{T}}, stencil) where T = Stencil{T}(stencil) +Base.convert(::Type{Stencil{T1,N}}, s::Stencil{T2,N}) where {T1,T2,N} = Stencil{T1,N}(s) +Base.convert(::Type{Stencil{T1}}, s::Stencil{T2,N}) where {T1,T2,N} = Stencil{T1,N}(s) -function CenteredStencil(weights::Vararg) +Base.promote_rule(::Type{Stencil{T1,N}}, ::Type{Stencil{T2,N}}) where {T1,T2,N} = Stencil{promote_type(T1,T2),N} + +function CenteredStencil(weights...) if iseven(length(weights)) throw(ArgumentError("a centered stencil must have an odd number of weights.")) end r = length(weights) ÷ 2 - return Stencil((-r, r), weights) + return Stencil(-r:r, weights) end @@ -48,7 +52,8 @@ return Stencil(s.range, a.*s.weights) end -Base.eltype(::Stencil{T}) where T = T +Base.eltype(::Stencil{T,N}) where {T,N} = T +Base.length(::Stencil{T,N}) where {T,N} = N function flip(s::Stencil) range = (-s.range[2], -s.range[1]) @@ -57,24 +62,103 @@ # Provides index into the Stencil based on offset for the root element @inline function Base.getindex(s::Stencil, i::Int) - @boundscheck if i < s.range[1] || s.range[2] < i + @boundscheck if i ∉ s.range return zero(eltype(s)) end return s.weights[1 + i - s.range[1]] end -Base.@propagate_inbounds @inline function apply_stencil(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N} - w = s.weights[1]*v[i + s.range[1]] - @simd for k ∈ 2:N - w += s.weights[k]*v[i + s.range[1] + k-1] +Base.@propagate_inbounds @inline function apply_stencil(s::Stencil, v::AbstractVector, i::Int) + w = zero(promote_type(eltype(s),eltype(v))) + @simd for k ∈ 1:length(s) + w += s.weights[k]*v[i + s.range[k]] + end + + return w +end + +Base.@propagate_inbounds @inline function apply_stencil_backwards(s::Stencil, v::AbstractVector, i::Int) + w = zero(promote_type(eltype(s),eltype(v))) + @simd for k ∈ length(s):-1:1 + w += s.weights[k]*v[i - s.range[k]] end return w end -Base.@propagate_inbounds @inline function apply_stencil_backwards(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N} - w = s.weights[N]*v[i - s.range[2]] - @simd for k ∈ N-1:-1:1 - w += s.weights[k]*v[i - s.range[1] - k + 1] - end - return w + +struct NestedStencil{T,N,M} + s::Stencil{Stencil{T,N},M} +end + +# Stencil input +NestedStencil(s::Vararg{Stencil}; center) = NestedStencil(Stencil(s... ; center)) +CenteredNestedStencil(s::Vararg{Stencil}) = NestedStencil(CenteredStencil(s...)) + +# Tuple input +function NestedStencil(weights::Vararg{NTuple{N,Any}}; center) where N + inner_stencils = map(w -> Stencil(w...; center), weights) + return NestedStencil(Stencil(inner_stencils... ; center)) +end +function CenteredNestedStencil(weights::Vararg{NTuple{N,Any}}) where N + inner_stencils = map(w->CenteredStencil(w...), weights) + return CenteredNestedStencil(inner_stencils...) +end + + +# Conversion +function NestedStencil{T,N,M}(ns::NestedStencil{S,N,M}) where {T,S,N,M} + return NestedStencil(Stencil{Stencil{T}}(ns.s)) +end + +function NestedStencil{T}(ns::NestedStencil{S,N,M}) where {T,S,N,M} + NestedStencil{T,N,M}(ns) +end + +function Base.convert(::Type{NestedStencil{T,N,M}}, s::NestedStencil{S,N,M}) where {T,S,N,M} + return NestedStencil{T,N,M}(s) +end +Base.convert(::Type{NestedStencil{T}}, stencil) where T = NestedStencil{T}(stencil) + +function Base.promote_rule(::Type{NestedStencil{T,N,M}}, ::Type{NestedStencil{S,N,M}}) where {T,S,N,M} + return NestedStencil{promote_type(T,S),N,M} end + +Base.eltype(::NestedStencil{T}) where T = T + +function scale(ns::NestedStencil, a) + range = ns.s.range + weights = ns.s.weights + + return NestedStencil(Stencil(range, scale.(weights,a))) +end + +function flip(ns::NestedStencil) + s_flip = flip(ns.s) + return NestedStencil(Stencil(s_flip.range, flip.(s_flip.weights))) +end + +Base.getindex(ns::NestedStencil, i::Int) = ns.s[i] + +"Apply inner stencils to `c` and get a concrete stencil" +Base.@propagate_inbounds function apply_inner_stencils(ns::NestedStencil, c::AbstractVector, i::Int) + weights = apply_stencil.(ns.s.weights, Ref(c), i) + return Stencil(ns.s.range, weights) +end + +"Apply the whole nested stencil" +Base.@propagate_inbounds function apply_stencil(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int) + s = apply_inner_stencils(ns,c,i) + return apply_stencil(s, v, i) +end + +"Apply inner stencils backwards to `c` and get a concrete stencil" +Base.@propagate_inbounds @inline function apply_inner_stencils_backwards(ns::NestedStencil, c::AbstractVector, i::Int) + weights = apply_stencil_backwards.(ns.s.weights, Ref(c), i) + return Stencil(ns.s.range, weights) +end + +"Apply the whole nested stencil backwards" +Base.@propagate_inbounds @inline function apply_stencil_backwards(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int) + s = apply_inner_stencils_backwards(ns,c,i) + return apply_stencil_backwards(s, v, i) +end
--- a/test/SbpOperators/boundaryops/boundary_operator_test.jl Wed Mar 23 13:09:31 2022 +0100 +++ b/test/SbpOperators/boundaryops/boundary_operator_test.jl Wed Mar 23 13:30:10 2022 +0100 @@ -9,7 +9,7 @@ import Sbplib.SbpOperators.boundary_operator @testset "BoundaryOperator" begin - closure_stencil = Stencil((0,2), (2.,1.,3.)) + closure_stencil = Stencil(2.,1.,3.; center = 1) g_1D = EquidistantGrid(11, 0.0, 1.0) g_2D = EquidistantGrid((11,15), (0.0, 0.0), (1.0,1.0))
--- a/test/SbpOperators/stencil_test.jl Wed Mar 23 13:09:31 2022 +0100 +++ b/test/SbpOperators/stencil_test.jl Wed Mar 23 13:30:10 2022 +0100 @@ -1,19 +1,25 @@ using Test using Sbplib.SbpOperators import Sbplib.SbpOperators.Stencil +import Sbplib.SbpOperators.NestedStencil +import Sbplib.SbpOperators.scale @testset "Stencil" begin - s = Stencil((-2,2), (1.,2.,2.,3.,4.)) + s = Stencil(-2:2, (1.,2.,2.,3.,4.)) @test s isa Stencil{Float64, 5} @test eltype(s) == Float64 - @test SbpOperators.scale(s, 2) == Stencil((-2,2), (2.,4.,4.,6.,8.)) + + @test length(s) == 5 + @test length(Stencil(-1:2, (1,2,3,4))) == 4 + + @test SbpOperators.scale(s, 2) == Stencil(-2:2, (2.,4.,4.,6.,8.)) - @test Stencil(1,2,3,4; center=1) == Stencil((0, 3),(1,2,3,4)) - @test Stencil(1,2,3,4; center=2) == Stencil((-1, 2),(1,2,3,4)) - @test Stencil(1,2,3,4; center=4) == Stencil((-3, 0),(1,2,3,4)) + @test Stencil(1,2,3,4; center=1) == Stencil(0:3,(1,2,3,4)) + @test Stencil(1,2,3,4; center=2) == Stencil(-1:2,(1,2,3,4)) + @test Stencil(1,2,3,4; center=4) == Stencil(-3:0,(1,2,3,4)) - @test CenteredStencil(1,2,3,4,5) == Stencil((-2, 2), (1,2,3,4,5)) + @test CenteredStencil(1,2,3,4,5) == Stencil(-2:2, (1,2,3,4,5)) @test_throws ArgumentError CenteredStencil(1,2,3,4) # Changing the type of the weights @@ -24,8 +30,145 @@ @testset "convert" begin @test convert(Stencil{Float64}, Stencil(1,2,3,4,5; center=2)) == Stencil(1.,2.,3.,4.,5.; center=2) - @test convert(Stencil{Float64}, CenteredStencil(1,2,3,4,5)) == CenteredStencil(1.,2.,3.,4.,5.) - @test convert(Stencil{Int}, Stencil(1.,2.,3.,4.,5.; center=2)) == Stencil(1,2,3,4,5; center=2) - @test convert(Stencil{Rational}, Stencil(1.,2.,3.,4.,5.; center=2)) == Stencil(1//1,2//1,3//1,4//1,5//1; center=2) + @test convert(Stencil{Float64,5}, CenteredStencil(1,2,3,4,5)) == CenteredStencil(1.,2.,3.,4.,5.) + @test convert(Stencil{Int,5}, Stencil(1.,2.,3.,4.,5.; center=2)) == Stencil(1,2,3,4,5; center=2) + @test convert(Stencil{Rational,5}, Stencil(1.,2.,3.,4.,5.; center=2)) == Stencil(1//1,2//1,3//1,4//1,5//1; center=2) + end + + @testset "promotion of weights" begin + @test Stencil(1.,2; center = 1) isa Stencil{Float64, 2} + @test Stencil(1,2//2; center = 1) isa Stencil{Rational{Int64}, 2} + end + + @testset "promotion" begin + @test promote(Stencil(1,1;center=1), Stencil(2.,2.;center=2)) == (Stencil(1.,1.;center=1), Stencil(2.,2.;center=2)) + end + + @testset "type stability" begin + s_int = CenteredStencil(1,2,3) + s_float = CenteredStencil(1.,2.,3.) + v_int = rand(1:10,10); + v_float = rand(10); + + @inferred SbpOperators.apply_stencil(s_int, v_int, 2) + @inferred SbpOperators.apply_stencil(s_float, v_float, 2) + @inferred SbpOperators.apply_stencil(s_int, v_float, 2) + @inferred SbpOperators.apply_stencil(s_float, v_int, 2) + + @inferred SbpOperators.apply_stencil_backwards(s_int, v_int, 5) + @inferred SbpOperators.apply_stencil_backwards(s_float, v_float, 5) + @inferred SbpOperators.apply_stencil_backwards(s_int, v_float, 5) + @inferred SbpOperators.apply_stencil_backwards(s_float, v_int, 5) end end + +@testset "NestedStencil" begin + + @testset "Constructors" begin + s1 = CenteredStencil(-1, 1, 0) + s2 = CenteredStencil(-1, 0, 1) + s3 = CenteredStencil( 0,-1, 1) + + ns = NestedStencil(CenteredStencil(s1,s2,s3)) + @test ns isa NestedStencil{Int,3} + + @test CenteredNestedStencil(s1,s2,s3) == ns + + @test NestedStencil(s1,s2,s3, center = 2) == ns + @test NestedStencil(s1,s2,s3, center = 1) == NestedStencil(Stencil(s1,s2,s3, center=1)) + + @test NestedStencil((-1,1,0),(-1,0,1),(0,-1,1), center=2) == ns + @test CenteredNestedStencil((-1,1,0),(-1,0,1),(0,-1,1)) == ns + @test NestedStencil((-1,1,0),(-1,0,1),(0,-1,1), center=1) == NestedStencil(Stencil( + Stencil(-1, 1, 0; center=1), + Stencil(-1, 0, 1; center=1), + Stencil( 0,-1, 1; center=1); + center=1 + )) + + @testset "Error handling" begin + end + end + + @testset "scale" begin + ns = NestedStencil((-1,1,0),(-1,0,1),(0,-1,1), center=2) + @test SbpOperators.scale(ns, 2) == NestedStencil((-2,2,0),(-2,0,2),(0,-2,2), center=2) + end + + @testset "conversion" begin + ns = NestedStencil((-1,1,0),(-1,0,1),(0,-1,1), center=2) + @test NestedStencil{Float64}(ns) == NestedStencil((-1.,1.,0.),(-1.,0.,1.),(0.,-1.,1.), center=2) + @test NestedStencil{Rational}(ns) == NestedStencil((-1//1,1//1,0//1),(-1//1,0//1,1//1),(0//1,-1//1,1//1), center=2) + + @test convert(NestedStencil{Float64}, ns) == NestedStencil((-1.,1.,0.),(-1.,0.,1.),(0.,-1.,1.), center=2) + @test convert(NestedStencil{Rational}, ns) == NestedStencil((-1//1,1//1,0//1),(-1//1,0//1,1//1),(0//1,-1//1,1//1), center=2) + end + + @testset "promotion of weights" begin + @test NestedStencil((-1,1,0),(-1.,0.,1.),(0,-1,1), center=2) isa NestedStencil{Float64,3,3} + @test NestedStencil((-1,1,0),(-1,0,1),(0//1,-1,1), center=2) isa NestedStencil{Rational{Int64},3,3} + end + + @testset "promotion" begin + promote( + CenteredNestedStencil((-1,1,0),(-1,0,1),(0,-1,1)), + CenteredNestedStencil((-1.,1.,0.),(-1.,0.,1.),(0.,-1.,1.)) + ) == ( + CenteredNestedStencil((-1.,1.,0.),(-1.,0.,1.),(0.,-1.,1.)), + CenteredNestedStencil((-1.,1.,0.),(-1.,0.,1.),(0.,-1.,1.)) + ) + end + + @testset "apply" begin + c = [ 1, 3, 6, 10, 15, 21, 28, 36, 45, 55] + v = [ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29] + + # Centered + ns = NestedStencil((-1,1,0),(-1,0,1),(0,-2,2), center=2) + @test SbpOperators.apply_inner_stencils(ns, c, 4) == Stencil(4,9,10; center=2) + @test SbpOperators.apply_inner_stencils_backwards(ns, c, 4) == Stencil(-5,-9,-8; center=2) + + @test SbpOperators.apply_stencil(ns, c, v, 4) == 4*5 + 9*7 + 10*11 + @test SbpOperators.apply_stencil_backwards(ns, c, v, 4) == -8*5 - 9*7 - 5*11 + + # Non-centered + ns = NestedStencil((-1,1,0),(-1,0,1),(0,-1,1), center=1) + @test SbpOperators.apply_inner_stencils(ns, c, 4) == Stencil(5,11,6; center=1) + @test SbpOperators.apply_inner_stencils_backwards(ns, c, 4) == Stencil(-4,-7,-3; center=1) + + @test SbpOperators.apply_stencil(ns, c, v, 4) == 5*7 + 11*11 + 6*13 + @test SbpOperators.apply_stencil_backwards(ns, c, v, 4) == -3*3 - 7*5 - 4*7 + end + + @testset "type stability" begin + s_int = CenteredNestedStencil((1,2,3),(1,2,3),(1,2,3)) + s_float = CenteredNestedStencil((1.,2.,3.),(1.,2.,3.),(1.,2.,3.)) + + v_int = rand(1:10,10); + v_float = rand(10); + + c_int = rand(1:10,10); + c_float = rand(10); + + @inferred SbpOperators.apply_stencil(s_int, c_int, v_int, 2) + @inferred SbpOperators.apply_stencil(s_float, c_int, v_float, 2) + @inferred SbpOperators.apply_stencil(s_int, c_int, v_float, 2) + @inferred SbpOperators.apply_stencil(s_float, c_int, v_int, 2) + + @inferred SbpOperators.apply_stencil(s_int, c_float, v_int, 2) + @inferred SbpOperators.apply_stencil(s_float, c_float, v_float, 2) + @inferred SbpOperators.apply_stencil(s_int, c_float, v_float, 2) + @inferred SbpOperators.apply_stencil(s_float, c_float, v_int, 2) + + @inferred SbpOperators.apply_stencil_backwards(s_int, c_int, v_int, 2) + @inferred SbpOperators.apply_stencil_backwards(s_float, c_int, v_float, 2) + @inferred SbpOperators.apply_stencil_backwards(s_int, c_int, v_float, 2) + @inferred SbpOperators.apply_stencil_backwards(s_float, c_int, v_int, 2) + + @inferred SbpOperators.apply_stencil_backwards(s_int, c_float, v_int, 2) + @inferred SbpOperators.apply_stencil_backwards(s_float, c_float, v_float, 2) + @inferred SbpOperators.apply_stencil_backwards(s_int, c_float, v_float, 2) + @inferred SbpOperators.apply_stencil_backwards(s_float, c_float, v_int, 2) + end + +end