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Merged
merged 3 commits into from
May 5, 2021
Merged

Support sum with Normalized #35

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09169f0
Support sum with Normalized
dlfivefifty Apr 29, 2021
647c199
Update test_lanczos.jl
dlfivefifty Apr 29, 2021
6e809ef
Update Project.toml
dlfivefifty May 4, 2021
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4 changes: 2 additions & 2 deletions Project.toml
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Original file line number Diff line number Diff line change
@@ -1,7 +1,7 @@
name = "ClassicalOrthogonalPolynomials"
uuid = "b30e2e7b-c4ee-47da-9d5f-2c5c27239acd"
authors = ["Sheehan Olver <[email protected]>"]
version = "0.3.6"
version = "0.3.7"

[deps]
ArrayLayouts = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
Expand Down Expand Up @@ -29,7 +29,7 @@ ArrayLayouts = "0.6.2"
BandedMatrices = "0.16.5"
BlockArrays = "0.15"
BlockBandedMatrices = "0.10"
ContinuumArrays = "0.7.1"
ContinuumArrays = "0.7.2"
DomainSets = "0.4, 0.5"
FFTW = "1.1"
FastGaussQuadrature = "0.4.3"
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2 changes: 1 addition & 1 deletion src/ClassicalOrthogonalPolynomials.jl
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Expand Up @@ -30,7 +30,7 @@ import InfiniteArrays: OneToInf, InfAxes, Infinity, AbstractInfUnitRange, Infini
import ContinuumArrays: Basis, Weight, basis, @simplify, Identity, AbstractAffineQuasiVector, ProjectionFactorization,
inbounds_getindex, grid, transform, transform_ldiv, TransformFactorization, QInfAxes, broadcastbasis, Expansion,
AffineQuasiVector, AffineMap, WeightLayout, WeightedBasisLayout, WeightedBasisLayouts, demap, AbstractBasisLayout, BasisLayout,
checkpoints, weight, unweightedbasis, MappedBasisLayouts
checkpoints, weight, unweightedbasis, MappedBasisLayouts, __sum
import FastTransforms: Λ, forwardrecurrence, forwardrecurrence!, _forwardrecurrence!, clenshaw, clenshaw!,
_forwardrecurrence_next, _clenshaw_next, check_clenshaw_recurrences, ChebyshevGrid, chebyshevpoints

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1 change: 1 addition & 0 deletions src/classical/jacobi.jl
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Expand Up @@ -47,6 +47,7 @@ getproperty(w::LegendreWeight{T}, ::Symbol) where T = zero(T)
sum(::LegendreWeight{T}) where T = 2one(T)

_weighted(::LegendreWeight, P) = P
_weighted(::SubQuasiArray{<:Any,1,<:LegendreWeight}, P) = P

broadcasted(::LazyQuasiArrayStyle{1}, ::typeof(*), ::LegendreWeight{T}, ::LegendreWeight{V}) where {T,V} =
LegendreWeight{promote_type(T,V)}()
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2 changes: 2 additions & 0 deletions src/normalized.jl
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Expand Up @@ -199,3 +199,5 @@ broadcasted(::LazyQuasiArrayStyle{2}, ::typeof(*), x::Inclusion, Q::Weighted) =
convert(WeightedOrthogonalPolynomial, parent(Ac))' * convert(WeightedOrthogonalPolynomial, wB)

summary(io::IO, Q::Weighted) = print(io, "Weighted($(Q.P))")

__sum(::NormalizedBasisLayout, A, dims) = __sum(ApplyLayout{typeof(*)}(), A, dims)
14 changes: 13 additions & 1 deletion test/test_lanczos.jl
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Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
using ClassicalOrthogonalPolynomials, BandedMatrices, ArrayLayouts, Test
import ClassicalOrthogonalPolynomials: recurrencecoefficients, PaddedLayout, orthogonalityweight
import ClassicalOrthogonalPolynomials: recurrencecoefficients, PaddedLayout, orthogonalityweight, golubwelsch

@testset "Lanczos" begin
@testset "Legendre" begin
Expand Down Expand Up @@ -220,4 +220,16 @@ import ClassicalOrthogonalPolynomials: recurrencecoefficients, PaddedLayout, ort
@test X.dv[3:∞][1:5] ≈ X.dv[3:7]
@test X.dv[3:∞][2:∞][1:5] ≈ X.dv[4:8]
end

@testset "golubwelsch" begin
x = axes(Legendre(),1)
Q = LanczosPolynomial( @.(inv(1+x^2)))
x,w = golubwelsch(Q[:,Base.OneTo(10)])
@test sum(w) ≈ π/2
@test sum(x.^2 .* w) ≈ 2 - π/2

x̃ = Inclusion(-1..1)
Q̃ = LanczosPolynomial( @.(inv(1+x̃^2)))
@test all((x,w) .≈ golubwelsch(Q̃[:,Base.OneTo(10)]))
end
end