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Deprecate lu(...) in favor of lufact(...) and factorization destructu…
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…ring.
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Sacha0 committed May 13, 2018
1 parent 2a21849 commit 9d83720
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12 changes: 12 additions & 0 deletions NEWS.md
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Expand Up @@ -997,6 +997,18 @@ Deprecated or removed

* `gradient` is deprecated and will be removed in the next release ([#23816]).

* `lu(A::AbstractMatrix[, pivot])` has been deprecated in favor of `lufact(A[, pivot])`.
Whereas `lu(A[, pivot])` returns a tuple of arrays, `lufact(A[, pivot])` returns an `LU` object.
So for a direct replacement, use `(lufact(A[, pivot])...,)`. But going forward, consider using
the direct result of `lufact(A[, pivot])` instead, either destructured into its components
(`l, u, p = lufact(A[, pivot])`) or as an `LU` object (`lup = lufact(A)`) ([#26997]).

* `lu(x::Number)` has been deprecated in favor of `lufact(x::Number)`.
Whereas `lu(x::Number)` returns a tuple of numbers, `lufact(x::Number)` returns a tuple of arrays
for consistency with other `lufact` methods. So for a direct replacement, use `first.((lufact(x)...,))`.
But going forward, consider using the direct result of `lufact(x)` instead, either destructured
into its components (`l, u, p = lufact(x)`) or as an `LU` object (`lup = lufact(x)`) ([#26997]).

* The timing functions `tic`, `toc`, and `toq` are deprecated in favor of `@time` and `@elapsed`
([#17046]).

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1 change: 0 additions & 1 deletion stdlib/LinearAlgebra/src/LinearAlgebra.jl
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Expand Up @@ -111,7 +111,6 @@ export
lowrankdowndate!,
lowrankupdate,
lowrankupdate!,
lu,
lufact,
lufact!,
lyap,
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22 changes: 22 additions & 0 deletions stdlib/LinearAlgebra/src/deprecated.jl
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Expand Up @@ -1260,3 +1260,25 @@ end
@deprecate scale!(C::AbstractMatrix, a::AbstractVector, B::AbstractMatrix) mul!(C, Diagonal(a), B)

Base.@deprecate_binding trace tr

# deprecate lu(...) in favor of lufact and factorization destructuring
export lu
function lu(A::AbstractMatrix, pivot::Union{Val{false}, Val{true}} = Val(true))
depwarn(string("`lu(A[, pivot])` has been deprecated in favor of ",
"`lufact(A[, pivot])`. Whereas `lu(A[, pivot])` returns a tuple of arrays, ",
"`lufact(A[, pivot])` returns an `LU` object. So for a direct replacement, ",
"use `(lufact(A[, pivot])...,)`. But going forward, consider using the direct ",
"result of `lufact(A[, pivot])` instead, either destructured into its components ",
"(`l, u, p = lufact(A[, pivot])`) or as an `LU` object (`lup = lufact(A)`)."), :lu)
return (lufact(A, pivot)...,)
end
function lu(x::Number)
depwarn(string("`lu(x::Number)` has been deprecated in favor of `lufact(x::Number)`. ",
"Whereas `lu(x::Number)` returns a tuple of numbers, `lufact(x::Number)` ",
"returns a tuple of arrays for consistency with other `lufact` methods. ",
"So for a direct replacement, use `first.((lufact(x)...,))`. But going ",
"forward, consider using the direct result of `lufact(x)` instead, either ",
"destructured into its components (`l, u, p = lufact(x)`) or as an ",
"`LU` object (`lup = lufact(x)`)."), :lu)
return first.((lufact(x)...,))
end
58 changes: 28 additions & 30 deletions stdlib/LinearAlgebra/src/lu.jl
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Expand Up @@ -11,6 +11,14 @@ struct LU{T,S<:AbstractMatrix} <: Factorization{T}
end
LU(factors::AbstractMatrix{T}, ipiv::Vector{BlasInt}, info::BlasInt) where {T} = LU{T,typeof(factors)}(factors, ipiv, info)

# iteration for destructuring into factors
Base.start(::LU) = Val(:L)
Base.next(F::LU, ::Val{:L}) = (F.L, Val(:U))
Base.next(F::LU, ::Val{:U}) = (F.U, Val(:p))
Base.next(F::LU, ::Val{:p}) = (F.p, Val(:done))
Base.done(F::LU, ::Val{:done}) = true
Base.done(F::LU, ::Any) = false

adjoint(F::LU) = Adjoint(F)
transpose(F::LU) = Transpose(F)

Expand Down Expand Up @@ -174,6 +182,26 @@ U factor:
julia> F.L * F.U == A[F.p, :]
true
julia> L, U, p = lufact(A); # destructuring via iteration
julia> L
2×2 Array{Float64,2}:
1.0 0.0
1.5 1.0
julia> U
2×2 Array{Float64,2}:
4.0 3.0
0.0 -1.5
julia> p
2-element Array{Int64,1}:
1
2
julia> A[p, :] == L * U
true
```
"""
function lufact(A::AbstractMatrix{T}, pivot::Union{Val{false}, Val{true}}) where T
Expand All @@ -200,36 +228,6 @@ end
lufact(x::Number) = LU(fill(x, 1, 1), BlasInt[1], x == 0 ? one(BlasInt) : zero(BlasInt))
lufact(F::LU) = F

lu(x::Number) = (one(x), x, 1)

"""
lu(A, pivot=Val(true)) -> L, U, p
Compute the LU factorization of `A`, such that `A[p,:] = L*U`.
By default, pivoting is used. This can be overridden by passing
`Val(false)` for the second argument.
See also [`lufact`](@ref).
# Examples
```jldoctest
julia> A = [4. 3.; 6. 3.]
2×2 Array{Float64,2}:
4.0 3.0
6.0 3.0
julia> L, U, p = lu(A)
([1.0 0.0; 0.666667 1.0], [6.0 3.0; 0.0 1.0], [2, 1])
julia> A[p, :] == L * U
true
```
"""
function lu(A::AbstractMatrix, pivot::Union{Val{false}, Val{true}} = Val(true))
F = lufact(A, pivot)
F.L, F.U, F.p
end

function LU{T}(F::LU) where T
M = convert(AbstractMatrix{T}, F.factors)
LU{T,typeof(M)}(M, F.ipiv, F.info)
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4 changes: 2 additions & 2 deletions stdlib/LinearAlgebra/test/lu.jl
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Expand Up @@ -42,7 +42,7 @@ dimg = randn(n)/2
if eltya <: BlasFloat
@testset "LU factorization for Number" begin
num = rand(eltya)
@test lu(num) == (one(eltya),num,1)
@test (lufact(num)...,) == (hcat(one(eltya)), hcat(num), [1])
@test convert(Array, lufact(num)) eltya[num]
end
@testset "Balancing in eigenvector calculations" begin
Expand All @@ -67,7 +67,7 @@ dimg = randn(n)/2
lua = factorize(a)
@test_throws ErrorException lua.Z
l,u,p = lua.L, lua.U, lua.p
ll,ul,pl = lu(a)
ll,ul,pl = lufact(a)
@test ll * ul a[pl,:]
@test l*u a[p,:]
@test (l*u)[invperm(p),:] a
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1 change: 0 additions & 1 deletion stdlib/SparseArrays/src/linalg.jl
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Expand Up @@ -1009,7 +1009,6 @@ function factorize(A::LinearAlgebra.RealHermSymComplexHerm{Float64,<:SparseMatri
end

chol(A::SparseMatrixCSC) = error("Use cholfact() instead of chol() for sparse matrices.")
lu(A::SparseMatrixCSC) = error("Use lufact() instead of lu() for sparse matrices.")
eig(A::SparseMatrixCSC) = error("Use IterativeEigensolvers.eigs() instead of eig() for sparse matrices.")

function Base.cov(X::SparseMatrixCSC; dims::Int=1, corrected::Bool=true)
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1 change: 0 additions & 1 deletion stdlib/SparseArrays/test/sparse.jl
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Expand Up @@ -1780,7 +1780,6 @@ end
C, b = A[:, 1:4], fill(1., size(A, 1))
@test !Base.USE_GPL_LIBS || factorize(C)\b Array(C)\b
@test_throws ErrorException chol(A)
@test_throws ErrorException lu(A)
@test_throws ErrorException eig(A)
@test_throws ErrorException inv(A)
end
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