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export mc66, mc66_control | ||
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mutable struct fa14_seed | ||
ix::Int32 | ||
end | ||
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fa14_seed() = fa14_seed(65535) | ||
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mutable struct mc66_control{T <: BLAS.BlasReal} | ||
lp::Int32 | ||
wp::Int32 | ||
mp::Int32 | ||
print_level::Int32 | ||
kl_aggressive::T | ||
max_imbalance::T | ||
mglevel::Int32 | ||
grid_rdc_fac::T | ||
coarsest_size::Int32 | ||
coarsen_scheme::Int32 | ||
num_coarsest_kl::Int32 | ||
end | ||
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function mc66_control{T}(; lp=6, wp=6, mp=6, print_level=-1, kl_aggressive=-1, max_imbalance=0.01, | ||
mglevel=typemax(Int32), grid_rdc_fac=0.75, coarsest_size=100, | ||
coarsen_scheme=1, num_coarsest_kl=4) where {T <: BLAS.BlasReal} | ||
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control = mc66_control{T}(lp, wp, mp, print_level, kl_aggressive, max_imbalance, mglevel, | ||
grid_rdc_fac, coarsest_size, coarsen_scheme, num_coarsest_kl) | ||
return control | ||
end | ||
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#! format: off | ||
# Thanks to `nm -D libhsl_mc66.so`! | ||
function mc66s(m, n, nz, irn, jcn, nblocks, control, seed, row_order, info, rowptr, column_order, colptr, netcut, rowdiff, kblocks) | ||
ccall((:__hsl_mc66_simple_MOD_monet, libhsl_mc66), | ||
Cvoid, | ||
(Ref{Int32}, Ref{Int32}, Ref{Int32}, Ptr{Int32}, Ptr{Int32}, Ref{Int32}, Ref{mc66_control{Float32}}, Ref{fa14_seed}, Ptr{Int32}, Ref{Int32}, Ptr{Int32}, Ptr{Int32} , Ptr{Int32}, Ref{Int32}, Ref{Float32}, Ref{Int32}), | ||
m , n , nz , irn , jcn , nblocks , control , seed , row_order , info , rowptr , column_order, colptr , netcut , rowdiff , kblocks ) | ||
end | ||
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function mc66s_print_message(info) | ||
lp = Ref{Int32}(6) | ||
wp = Ref{Int32}(6) | ||
context = Ptr{Cvoid}() | ||
ccall((:__hsl_mc66_single_MOD_monet_print_message, libhsl_mc66), | ||
Cvoid, | ||
(Ref{Int32}, Ref{Int32}, Ref{Int32}, Cstring), | ||
info , lp , wp , context) | ||
end | ||
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function mc66d(m, n, nz, irn, jcn, nblocks, control, seed, row_order, info, rowptr, column_order, colptr, netcut, rowdiff, kblocks) | ||
ccall((:__hsl_mc66_double_MOD_monet, libhsl_mc66), | ||
Cvoid, | ||
(Ref{Int32}, Ref{Int32}, Ref{Int32}, Ptr{Int32}, Ptr{Int32}, Ref{Int32}, Ref{mc66_control{Float64}}, Ref{fa14_seed}, Ptr{Int32}, Ref{Int32}, Ptr{Int32}, Ptr{Int32} , Ptr{Int32}, Ref{Int32}, Ref{Float64}, Ref{Int32}), | ||
m , n , nz , irn , jcn , nblocks , control , seed , row_order , info , rowptr , column_order, colptr , netcut , rowdiff , kblocks ) | ||
end | ||
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function mc66d_print_message(info, control) | ||
context = Ptr{Cvoid}() | ||
ccall((:__hsl_mc66_double_MOD_monet_print_message, libhsl_mc66), | ||
Cvoid, | ||
(Ref{Int32}, Ref{Int32}, Ref{Int32}, Cstring), | ||
info , control.lp, control.wp, context) | ||
end | ||
#! format: on | ||
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""" | ||
rp, cp = mc66(A::SparseMatrixCSC, k::Integer) | ||
Order an unsymmetric matrix A into singly bordered blocked diagonal (SBBD) form. | ||
A[rp, cp] = [ A₁₁ S₁] | ||
[ A₂₂ S₂] | ||
[ • • ] | ||
[ • • ] | ||
[ • • ] | ||
[ Aₖₖ Sₖ] | ||
""" | ||
function mc66(A::SparseMatrixCSC, nblocks::Integer) | ||
m, n = size(A) | ||
nblocks ≤ min(m,n) || error("1 ≤ nblocks ≤ min(m,n)") | ||
m = Ref{Int32}(m) | ||
n = Ref{Int32}(n) | ||
nz = Ref{Int32}(nnz(A)) | ||
irn, jcn, val = findnz(A) | ||
irn = convert(Vector{Cint}, irn) | ||
jcn = convert(Vector{Cint}, jcn) | ||
nblocks = Ref{Int32}(nblocks) | ||
control = mc66_control{Float64}() | ||
seed = fa14_seed() | ||
row_order = zeros(Cint, m[]) | ||
info = Ref{Cint}() | ||
rowptr = zeros(Cint, nblocks[]+1) | ||
column_order = zeros(Cint, n[]) | ||
colptr = zeros(Cint, nblocks[]+1) | ||
netcut = Ref{Cint}() | ||
rowdiff = Ref{Float64}() | ||
kblocks = Ref{Cint}() | ||
mc66d(m, n, nz, irn, jcn, nblocks, control, seed, row_order, info, rowptr, column_order, colptr, netcut, rowdiff, kblocks) | ||
mc66d_print_message(info[], control) | ||
return row_order, column_order | ||
end |
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@testset "hsl_mc66" begin | ||
#! format: off | ||
A = [1 1 0 0; | ||
1 0 1 1; | ||
1 1 0 0; | ||
1 0 1 1] | ||
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B = [1 0 0 1; | ||
1 0 0 1; | ||
0 1 1 1; | ||
0 1 1 1] | ||
#! format: on | ||
C = SparseMatrixCSC(A) | ||
rp, cp = mc66(C, 2) | ||
@test isperm(rp) | ||
@test isperm(cp) | ||
@test A[rp,cp] == B | ||
end |