BlockSparseArrays.jl/src/factorizations/orthnull.jl at 2235a26bcce9c966d896fe23bfb029826edc14fb · ITensor/BlockSparseArrays.jl · GitHub

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using MatrixAlgebraKit:
    MatrixAlgebraKit,
    default_svd_algorithm,
    left_null!,
    left_null_svd!,
    left_orth!,
    left_polar!,
    lq_compact!,
    null_truncation_strategy,
    qr_compact!,
    right_null!,
    right_null_svd!,
    right_orth!,
    right_polar!,
    select_algorithm,
    svd_compact!

function MatrixAlgebraKit.initialize_output(
        ::typeof(left_orth!), A::AbstractBlockSparseMatrix
    )
    return nothing
end
function MatrixAlgebraKit.check_input(::typeof(left_orth!), A::AbstractBlockSparseMatrix, F)
    !isnothing(F) && throw(
        ArgumentError(
            "`left_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    return nothing
end

function MatrixAlgebraKit.left_orth_qr!(A::AbstractBlockSparseMatrix, F, alg)
    !isnothing(F) && throw(
        ArgumentError(
            "`left_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(qr_compact!, A, alg)
    return qr_compact!(A, alg′)
end
function MatrixAlgebraKit.left_orth_polar!(A::AbstractBlockSparseMatrix, F, alg)
    !isnothing(F) && throw(
        ArgumentError(
            "`left_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(left_polar!, A, alg)
    return left_polar!(A, alg′)
end
function MatrixAlgebraKit.left_orth_svd!(
        A::AbstractBlockSparseMatrix, F, alg, trunc::Nothing = nothing
    )
    !isnothing(F) && throw(
        ArgumentError(
            "`left_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(svd_compact!, A, alg)
    U, S, Vᴴ = svd_compact!(A, alg′)
    return U, S * Vᴴ
end
function MatrixAlgebraKit.left_orth_svd!(A::AbstractBlockSparseMatrix, F, alg, trunc)
    !isnothing(F) && throw(
        ArgumentError(
            "`left_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(svd_compact!, A, alg)
    alg_trunc = select_algorithm(svd_trunc!, A, alg′; trunc)
    U, S, Vᴴ = svd_trunc!(A, alg_trunc)
    return U, S * Vᴴ
end

function MatrixAlgebraKit.initialize_output(
        ::typeof(right_orth!), A::AbstractBlockSparseMatrix
    )
    return nothing
end
function MatrixAlgebraKit.check_input(
        ::typeof(right_orth!), A::AbstractBlockSparseMatrix, F::Nothing
    )
    !isnothing(F) && throw(
        ArgumentError(
            "`right_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    return nothing
end

function MatrixAlgebraKit.right_orth_lq!(A::AbstractBlockSparseMatrix, F, alg)
    !isnothing(F) && throw(
        ArgumentError(
            "`right_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(lq_compact!, A, alg)
    return lq_compact!(A, alg′)
end
function MatrixAlgebraKit.right_orth_polar!(A::AbstractBlockSparseMatrix, F, alg)
    !isnothing(F) && throw(
        ArgumentError(
            "`right_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(right_polar!, A, alg)
    return right_polar!(A, alg′)
end
function MatrixAlgebraKit.right_orth_svd!(
        A::AbstractBlockSparseMatrix, F, alg, trunc::Nothing = nothing
    )
    !isnothing(F) && throw(
        ArgumentError(
            "`right_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(svd_compact!, A, alg)
    U, S, Vᴴ = svd_compact!(A, alg′)
    return U * S, Vᴴ
end
function MatrixAlgebraKit.right_orth_svd!(A::AbstractBlockSparseMatrix, F, alg, trunc)
    !isnothing(F) && throw(
        ArgumentError(
            "`right_orth!` on block sparse matrices does not support specifying the output"
        ),
    )
    alg′ = select_algorithm(svd_compact!, A, alg)
    alg_trunc = select_algorithm(svd_trunc!, A, alg′; trunc)
    U, S, Vᴴ = svd_trunc!(A, alg_trunc)
    return U * S, Vᴴ
end

function MatrixAlgebraKit.initialize_output(
        ::typeof(left_null!), A::AbstractBlockSparseMatrix
    )
    return nothing
end
function MatrixAlgebraKit.check_input(
        ::typeof(left_null!), A::AbstractBlockSparseMatrix, N::Nothing
    )
    return nothing
end
function MatrixAlgebraKit.left_null_qr!(A::AbstractBlockSparseMatrix, N, alg)
    return left_null_svd!(A, N, default_svd_algorithm(A))
end
function MatrixAlgebraKit.left_null_svd!(
        A::AbstractBlockSparseMatrix, N, alg, trunc::Nothing
    )
    return left_null_svd!(A, N, alg, null_truncation_strategy(; atol = 0, rtol = 0))
end
function MatrixAlgebraKit.truncate(
        ::typeof(left_null!),
        (U, S)::Tuple{AbstractBlockSparseMatrix,AbstractBlockSparseMatrix},
        strategy::TruncationStrategy,
    )
    return error("Not implemented.")
end

function MatrixAlgebraKit.initialize_output(
        ::typeof(right_null!), A::AbstractBlockSparseMatrix
    )
    return nothing
end
function MatrixAlgebraKit.check_input(
        ::typeof(right_null!), A::AbstractBlockSparseMatrix, N::Nothing
    )
    return nothing
end
function MatrixAlgebraKit.right_null_lq!(A::AbstractBlockSparseMatrix, N, alg)
    return error("Not implement.")
end
function MatrixAlgebraKit.truncate!(
        ::typeof(right_null!),
        (S, Vᴴ)::Tuple{AbstractBlockSparseMatrix, AbstractBlockSparseMatrix},
        strategy::TruncationStrategy,
    )
    return error("Not implemented.")
end