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Add transpose/adjoint specializations for block Bidiagonal #1231

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Add transpose/adjoint specializations for block Bidiagonal #1231

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f92caa7
Add `transpose`/`adjoint` specializations for block `Bidiagonal`
jishnub Feb 27, 2025
923ce64
Remove unnecessary transpose method
jishnub Apr 3, 2025
3359898
Remove methods with `Transpose`/`Adjoint` wrappers
jishnub Apr 3, 2025
c82e846
Remove `AdjOrTrans` methods
jishnub Apr 3, 2025
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23 changes: 2 additions & 21 deletions src/bidiag.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -290,20 +290,14 @@ end
adjoint(B::Bidiagonal{<:Number}) = Bidiagonal(vec(adjoint(B.dv)), vec(adjoint(B.ev)), B.uplo == 'U' ? :L : :U)
adjoint(B::Bidiagonal{<:Number, <:Base.ReshapedArray{<:Number,1,<:Adjoint}}) =
Bidiagonal(adjoint(parent(B.dv)), adjoint(parent(B.ev)), B.uplo == 'U' ? :L : :U)
adjoint(B::Bidiagonal) = Bidiagonal(adjoint.(B.dv), adjoint.(B.ev), B.uplo == 'U' ? :L : :U)
transpose(B::Bidiagonal{<:Number}) = Bidiagonal(B.dv, B.ev, B.uplo == 'U' ? :L : :U)
transpose(B::Bidiagonal) = Bidiagonal(transpose.(B.dv), transpose.(B.ev), B.uplo == 'U' ? :L : :U)
permutedims(B::Bidiagonal) = Bidiagonal(B.dv, B.ev, B.uplo == 'U' ? 'L' : 'U')
function permutedims(B::Bidiagonal, perm)
Base.checkdims_perm(axes(B), axes(B), perm)
NTuple{2}(perm) == (2, 1) ? permutedims(B) : B
end
function Base.copy(aB::Adjoint{<:Any,<:Bidiagonal})
B = aB.parent
return Bidiagonal(map(x -> copy.(adjoint.(x)), (B.dv, B.ev))..., B.uplo == 'U' ? :L : :U)
end
function Base.copy(tB::Transpose{<:Any,<:Bidiagonal})
B = tB.parent
return Bidiagonal(map(x -> copy.(transpose.(x)), (B.dv, B.ev))..., B.uplo == 'U' ? :L : :U)
end

@noinline function throw_zeroband_error(A)
uplo = A.uplo
Expand Down Expand Up @@ -1281,14 +1275,10 @@ function ldiv!(c::AbstractVecOrMat, A::Bidiagonal, b::AbstractVecOrMat)
end
return c
end
ldiv!(A::AdjOrTrans{<:Any,<:Bidiagonal}, b::AbstractVecOrMat) = @inline ldiv!(b, A, b)
ldiv!(c::AbstractVecOrMat, A::AdjOrTrans{<:Any,<:Bidiagonal}, b::AbstractVecOrMat) =
(t = wrapperop(A); _rdiv!(t(c), t(b), t(A)); return c)

### Generic promotion methods and fallbacks
\(A::Bidiagonal, B::AbstractVecOrMat) =
ldiv!(matprod_dest(A, B, promote_op(\, eltype(A), eltype(B))), A, B)
\(xA::AdjOrTrans{<:Any,<:Bidiagonal}, B::AbstractVecOrMat) = copy(xA) \ B

### Triangular specializations
for tri in (:UpperTriangular, :UnitUpperTriangular)
Expand Down Expand Up @@ -1360,9 +1350,6 @@ function _rdiv!(C::AbstractMatrix, A::AbstractMatrix, B::Bidiagonal)
C
end
rdiv!(A::AbstractMatrix, B::Bidiagonal) = @inline _rdiv!(A, A, B)
rdiv!(A::AbstractMatrix, B::AdjOrTrans{<:Any,<:Bidiagonal}) = @inline _rdiv!(A, A, B)
_rdiv!(C::AbstractMatrix, A::AbstractMatrix, B::AdjOrTrans{<:Any,<:Bidiagonal}) =
(t = wrapperop(B); ldiv!(t(C), t(B), t(A)); return C)

/(A::AbstractMatrix, B::Bidiagonal) =
_rdiv!(similar(A, promote_op(/, eltype(A), eltype(B)), size(A)), A, B)
Expand Down Expand Up @@ -1395,15 +1382,9 @@ function /(D::Diagonal, B::Bidiagonal)
return B.uplo == 'U' ? UpperTriangular(A) : LowerTriangular(A)
end

/(A::AbstractMatrix, B::Transpose{<:Any,<:Bidiagonal}) = A / copy(B)
/(A::AbstractMatrix, B::Adjoint{<:Any,<:Bidiagonal}) = A / copy(B)
# disambiguation
/(A::AdjointAbsVec, B::Bidiagonal) = adjoint(adjoint(B) \ parent(A))
/(A::TransposeAbsVec, B::Bidiagonal) = transpose(transpose(B) \ parent(A))
/(A::AdjointAbsVec, B::Transpose{<:Any,<:Bidiagonal}) = adjoint(adjoint(B) \ parent(A))
/(A::TransposeAbsVec, B::Transpose{<:Any,<:Bidiagonal}) = transpose(transpose(B) \ parent(A))
/(A::AdjointAbsVec, B::Adjoint{<:Any,<:Bidiagonal}) = adjoint(adjoint(B) \ parent(A))
/(A::TransposeAbsVec, B::Adjoint{<:Any,<:Bidiagonal}) = transpose(transpose(B) \ parent(A))

factorize(A::Bidiagonal) = A
function inv(B::Bidiagonal{T}) where T
Expand Down
14 changes: 13 additions & 1 deletion test/bidiag.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -800,7 +800,7 @@ using .Main.ImmutableArrays
@test convert(AbstractMatrix{Float64}, Bl)::Bidiagonal{Float64,ImmutableArray{Float64,1,Array{Float64,1}}} == Bl
end

@testset "block-bidiagonal matrix indexing" begin
@testset "block-bidiagonal matrix" begin
dv = [ones(4,3), ones(2,2).*2, ones(2,3).*3, ones(4,4).*4]
evu = [ones(4,2), ones(2,3).*2, ones(2,4).*3]
evl = [ones(2,3), ones(2,2).*2, ones(4,3).*3]
Expand Down Expand Up @@ -840,6 +840,18 @@ end
@test @inferred(B[2,1]) isa typeof(s)
@test all(iszero, B[2,1])
end

@testset "adjoint/transpose" begin
m = rand(Int, 2, 2)
for uplo in [:U, :L]
B = Bidiagonal(fill(m,4), fill(m,3), uplo)
A = Array{Matrix{Int}}(B)
@testset for f in (adjoint, transpose)
@test f(B) == f(A)
@test f(f(B)) == B
end
end
end
end

@testset "copyto!" begin
Expand Down