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sparse.jl
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sparse.jl
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export symrcm, symmdq, symamd, metisnd, zfd
using SparseArrays
using ..CUSPARSE: CuSparseMatrixCSR, CuSparseMatrixCSC, CuMatrixDescriptor
function cusolverSpCreate()
handle_ref = Ref{cusolverSpHandle_t}()
@check unsafe_cusolverSpCreate(handle_ref) CUSOLVER_STATUS_NOT_INITIALIZED
return handle_ref[]
end
function cusolverMgCreate()
handle_ref = Ref{cusolverMgHandle_t}()
res = @retry_reclaim err->isequal(err, CUSOLVER_STATUS_ALLOC_FAILED) ||
isequal(err, CUSOLVER_STATUS_NOT_INITIALIZED) begin
unsafe_cusolverMgCreate(handle_ref)
end
if res != CUSOLVER_STATUS_SUCCESS
throw_api_error(res)
end
return handle_ref[]
end
#csrlsvlu
for (fname, elty, relty) in ((:cusolverSpScsrlsvluHost, :Float32, :Float32),
(:cusolverSpDcsrlsvluHost, :Float64, :Float64),
(:cusolverSpCcsrlsvluHost, :ComplexF32, :Float32),
(:cusolverSpZcsrlsvluHost, :ComplexF64, :Float64))
@eval begin
function csrlsvlu!(A::SparseMatrixCSC{$elty},
b::Vector{$elty},
x::Vector{$elty},
tol::$relty,
reorder::Cint,
inda::Char)
n = size(A,1)
if size(A,2) != n
throw(DimensionMismatch("LU factorization is only possible for square matrices!"))
end
if size(A,2) != length(b)
throw(DimensionMismatch("second dimension of A, $(size(A,2)), must match the length of b, $(length(b))"))
end
if length(x) != length(b)
throw(DimensionMismatch("length of x, $(length(x)), must match the length of b, $(length(b))"))
end
Mat = similar(A)
transpose!(Mat, A)
desca = CuMatrixDescriptor('G', 'L', 'N', inda)
singularity = Ref{Cint}(1)
$fname(sparse_handle(), n, length(A.nzval), desca, Mat.nzval,
convert(Vector{Cint},Mat.colptr), convert(Vector{Cint},Mat.rowval), b,
tol, reorder, x, singularity)
if singularity[] != -1
throw(SingularException(singularity[]))
end
x
end
end
end
#csrlsvqr
for (fname, elty, relty) in ((:cusolverSpScsrlsvqr, :Float32, :Float32),
(:cusolverSpDcsrlsvqr, :Float64, :Float64),
(:cusolverSpCcsrlsvqr, :ComplexF32, :Float32),
(:cusolverSpZcsrlsvqr, :ComplexF64, :Float64))
@eval begin
function csrlsvqr!(A::CuSparseMatrixCSR{$elty},
b::CuVector{$elty},
x::CuVector{$elty},
tol::$relty,
reorder::Cint,
inda::Char)
n = size(A,1)
if size(A,2) != n
throw(DimensionMismatch("QR factorization is only possible for square matrices!"))
end
if size(A,2) != length(b)
throw(DimensionMismatch("second dimension of A, $(size(A,2)), must match the length of b, $(length(b))"))
end
if length(x) != length(b)
throw(DimensionMismatch("length of x, $(length(x)), must match the length of b, $(length(b))"))
end
desca = CuMatrixDescriptor('G', 'L', 'N', inda)
singularity = Ref{Cint}(1)
$fname(sparse_handle(), n, A.nnz, desca, A.nzVal, A.rowPtr, A.colVal, b, tol, reorder, x, singularity)
if singularity[] != -1
throw(SingularException(singularity[]))
end
x
end
end
end
#csrlsvchol
for (fname, elty, relty) in ((:cusolverSpScsrlsvchol, :Float32, :Float32),
(:cusolverSpDcsrlsvchol, :Float64, :Float64),
(:cusolverSpCcsrlsvchol, :ComplexF32, :Float32),
(:cusolverSpZcsrlsvchol, :ComplexF64, :Float64))
@eval begin
function csrlsvchol!(A::CuSparseMatrixCSR{$elty},
b::CuVector{$elty},
x::CuVector{$elty},
tol::$relty,
reorder::Cint,
inda::Char)
n = size(A,1)
if size(A,2) != n
throw(DimensionMismatch("Cholesky factorization is only possible for square matrices!"))
end
if size(A,2) != length(b)
throw(DimensionMismatch("second dimension of A, $(size(A,2)), must match the length of b, $(length(b))"))
end
if length(x) != length(b)
throw(DimensionMismatch("length of x, $(length(x)), must match the length of b, $(length(b))"))
end
desca = CuMatrixDescriptor('G', 'L', 'N', inda)
singularity = zeros(Cint,1)
$fname(sparse_handle(), n, A.nnz, desca, A.nzVal, A.rowPtr, A.colVal, b, tol, reorder, x, singularity)
if singularity[1] != -1
throw(SingularException(singularity[1]))
end
x
end
end
end
#csrlsqvqr
for (fname, elty, relty) in ((:cusolverSpScsrlsqvqrHost, :Float32, :Float32),
(:cusolverSpDcsrlsqvqrHost, :Float64, :Float64),
(:cusolverSpCcsrlsqvqrHost, :ComplexF32, :Float32),
(:cusolverSpZcsrlsqvqrHost, :ComplexF64, :Float64))
@eval begin
function csrlsqvqr!(A::SparseMatrixCSC{$elty},
b::Vector{$elty},
x::Vector{$elty},
tol::$relty,
inda::Char)
m,n = size(A)
if m < n
throw(DimensionMismatch("csrlsqvqr only works when the first dimension of A, $m, is greater than or equal to the second dimension of A, $n"))
end
if size(A,2) != length(b)
throw(DimensionMismatch("second dimension of A, $(size(A,2)), must match the length of b, $(length(b))"))
end
if length(x) != length(b)
throw(DimensionMismatch("length of x, $(length(x)), must match the length of b, $(length(b))"))
end
desca = CuMatrixDescriptor('G', 'L', 'N', inda)
p = zeros(Cint,n)
min_norm = zeros($relty,1)
rankA = zeros(Cint,1)
Mat = similar(A)
transpose!(Mat, A)
$fname(sparse_handle(), m, n, length(A.nzval), desca, Mat.nzval,
convert(Vector{Cint},Mat.colptr), convert(Vector{Cint},Mat.rowval),
b, tol, rankA, x, p, min_norm)
x, rankA[1], p, min_norm[1]
end
end
end
#csreigvsi
for (fname, elty, relty) in ((:cusolverSpScsreigvsi, :Float32, :Float32),
(:cusolverSpDcsreigvsi, :Float64, :Float64),
(:cusolverSpCcsreigvsi, :ComplexF32, :Float32),
(:cusolverSpZcsreigvsi, :ComplexF64, :Float64))
@eval begin
function csreigvsi(A::CuSparseMatrixCSR{$elty},
μ_0::$elty,
x_0::CuVector{$elty},
tol::$relty,
maxite::Cint,
inda::Char)
m,n = size(A)
if m != n
throw(DimensionMismatch("A must be square!"))
end
if n != length(x_0)
throw(DimensionMismatch("second dimension of A, $(size(A,2)), must match the length of x_0, $(length(x_0))"))
end
desca = CuMatrixDescriptor('G', 'L', 'N', inda)
x = copy(x_0)
μ = CUDA.zeros($elty,1)
$fname(sparse_handle(), n, A.nnz, desca, A.nzVal, A.rowPtr, A.colVal,
μ_0, x_0, maxite, tol, μ, x)
collect(μ)[1], x
end
end
end
#csreigs
for (fname, elty, relty) in ((:cusolverSpScsreigsHost, :ComplexF32, :Float32),
(:cusolverSpDcsreigsHost, :ComplexF64, :Float64),
(:cusolverSpCcsreigsHost, :ComplexF32, :ComplexF32),
(:cusolverSpZcsreigsHost, :ComplexF64, :ComplexF64))
@eval begin
function csreigs(A::SparseMatrixCSC{$relty},
lbc::$elty,
ruc::$elty,
inda::Char)
m,n = size(A)
if m != n
throw(DimensionMismatch("A must be square!"))
end
desca = CuMatrixDescriptor('G', 'L', 'N', inda)
numeigs = Ref{Cint}(0)
Mat = similar(A)
transpose!(Mat, A)
$fname(sparse_handle(), n, length(A.nzval), desca, Mat.nzval,
convert(Vector{Cint},Mat.colptr), convert(Vector{Cint},Mat.rowval),
lbc, ruc, numeigs)
numeigs[]
end
end
end
#csrsymrcm
function symrcm(A::SparseMatrixCSC, index::Char)
n, m = size(A)
(m ≠ m) && throw(DimensionMismatch("A must be square, but has dimensions ($n,$m)!"))
descA = CuMatrixDescriptor('G', 'L', 'N', index)
nnzA = nnz(A)
Mat = similar(A)
transpose!(Mat, A)
colsA = convert(Vector{Cint}, Mat.rowval)
rowsA = convert(Vector{Cint}, Mat.colptr)
p = zeros(Cint, n)
cusolverSpXcsrsymrcmHost(sparse_handle(), n, nnzA, descA, rowsA, colsA, p)
return p
end
#csrsymmdq
function symmdq(A::SparseMatrixCSC, index::Char)
n, m = size(A)
(m ≠ m) && throw(DimensionMismatch("A must be square, but has dimensions ($n,$m)!"))
descA = CuMatrixDescriptor('G', 'L', 'N', index)
nnzA = nnz(A)
Mat = similar(A)
transpose!(Mat, A)
colsA = convert(Vector{Cint}, Mat.rowval)
rowsA = convert(Vector{Cint}, Mat.colptr)
p = zeros(Cint, n)
cusolverSpXcsrsymmdqHost(sparse_handle(), n, nnzA, descA, rowsA, colsA, p)
return p
end
#csrsymamd
function symamd(A::SparseMatrixCSC, index::Char)
n, m = size(A)
(m ≠ m) && throw(DimensionMismatch("A must be square, but has dimensions ($n,$m)!"))
descA = CuMatrixDescriptor('G', 'L', 'N', index)
nnzA = nnz(A)
Mat = similar(A)
transpose!(Mat, A)
colsA = convert(Vector{Cint}, Mat.rowval)
rowsA = convert(Vector{Cint}, Mat.colptr)
p = zeros(Cint, n)
cusolverSpXcsrsymamdHost(sparse_handle(), n, nnzA, descA, rowsA, colsA, p)
return p
end
#csrmetisnd
function metisnd(A::SparseMatrixCSC, index::Char)
n, m = size(A)
(m ≠ m) && throw(DimensionMismatch("A must be square, but has dimensions ($n,$m)!"))
descA = CuMatrixDescriptor('G', 'L', 'N', index)
nnzA = nnz(A)
Mat = similar(A)
transpose!(Mat, A)
colsA = convert(Vector{Cint}, Mat.rowval)
rowsA = convert(Vector{Cint}, Mat.colptr)
p = zeros(Cint, n)
cusolverSpXcsrmetisndHost(sparse_handle(), n, nnzA, descA, rowsA, colsA, C_NULL, p)
return p
end
#csrzfd
for (fname, elty) in ((:cusolverSpScsrzfdHost, :Float32),
(:cusolverSpDcsrzfdHost, :Float64),
(:cusolverSpCcsrzfdHost, :ComplexF32),
(:cusolverSpZcsrzfdHost, :ComplexF64))
@eval begin
function zfd(A::SparseMatrixCSC{$elty}, index::Char)
n, m = size(A)
(m ≠ m) && throw(DimensionMismatch("A must be square, but has dimensions ($n,$m)!"))
descA = CuMatrixDescriptor('G', 'L', 'N', index)
nnzA = nnz(A)
Mat = similar(A)
transpose!(Mat, A)
colsA = convert(Vector{Cint}, Mat.rowval)
rowsA = convert(Vector{Cint}, Mat.colptr)
valsA = Mat.nzval
p = zeros(Cint, n)
numnz = Ref{Cint}(0)
$fname(sparse_handle(), n, nnzA, descA, valsA, rowsA, colsA, p, numnz)
(numnz[] < n) && throw(SingularException(n - numnz[]))
return p
end
end
end