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using BenchmarkTools | ||
using SparseArrays, LinearAlgebra | ||
using Gridap, Gridap.FESpaces, Gridap.Algebra | ||
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function nzindex(A::SparseArrays.AbstractSparseMatrixCSC, i0::Integer, i1::Integer) | ||
if !(1 <= i0 <= size(A, 1) && 1 <= i1 <= size(A, 2)); throw(BoundsError()); end | ||
ptrs = SparseArrays.getcolptr(A) | ||
r1 = Int(ptrs[i1]) | ||
r2 = Int(ptrs[i1+1]-1) | ||
(r1 > r2) && return -1 | ||
r1 = searchsortedfirst(rowvals(A), i0, r1, r2, Base.Order.Forward) | ||
((r1 > r2) || (rowvals(A)[r1] != i0)) ? 0 : r1 | ||
end | ||
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function precompute_nzindex(A,a::Algebra.AllocationCOO) | ||
precompute_nzindex(A,a.I,a.J) | ||
end | ||
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function precompute_nzindex(A,I,J) | ||
K = zeros(Int32,length(I)) | ||
for (p,(i,j)) in enumerate(zip(I,J)) | ||
if i < 1 || j < 1 | ||
continue | ||
end | ||
K[p] = nzindex(A,i,j) | ||
end | ||
K | ||
end | ||
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function sparse_matrix!(A,V,K;reset=true) | ||
if reset | ||
LinearAlgebra.fillstored!(A,0) | ||
end | ||
A_nz = nonzeros(A) | ||
for (k,v) in zip(K,V) | ||
if k < 1 | ||
continue | ||
end | ||
A_nz[k] += v | ||
end | ||
A | ||
end | ||
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function Algebra.CounterCOO(::Algebra.SparseMatrixBuilder{T},axes) where T | ||
Algebra.CounterCOO{T}(axes) | ||
end | ||
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function assemble_coo(a,matdata;reuse=false) | ||
m1 = Algebra.CounterCOO(get_matrix_builder(a),(get_rows(a),get_cols(a))) | ||
symbolic_loop_matrix!(m1,a,matdata) | ||
m2 = nz_allocation(m1) | ||
numeric_loop_matrix!(m2,a,matdata) | ||
m3 = create_from_nz(m2) | ||
if reuse | ||
return m3, (m2,precompute_nzindex(m3,m2)) | ||
end | ||
m3 | ||
end | ||
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function assemble_coo!(mat,a,matdata,cache) | ||
m2, K = cache | ||
m2.counter.nnz = 0 | ||
numeric_loop_matrix!(m2,a,matdata) | ||
sparse_matrix!(mat,m2.V,K,reset=true) | ||
end | ||
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model = CartesianDiscreteModel((0,1,0,1),(100,100)) | ||
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reffe = ReferenceFE(lagrangian, Float64, 1) | ||
V = TestFESpace(model, reffe) | ||
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Ω = Triangulation(model) | ||
dΩ = Measure(Ω, 2) | ||
a(u,v) = ∫(∇(u)⋅∇(v))dΩ | ||
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u = get_trial_fe_basis(V) | ||
v = get_fe_basis(V) | ||
matdata = collect_cell_matrix(V,V,a(u,v)) | ||
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assem = SparseMatrixAssembler(V,V) | ||
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A1 = assemble_matrix(assem,matdata) | ||
A2, cache = assemble_coo(assem,matdata;reuse=true) | ||
assemble_coo!(A2,assem,matdata,cache) | ||
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@benchmark assemble_matrix($assem,$matdata) | ||
@benchmark assemble_coo($assem,$matdata) | ||
@benchmark assemble_matrix!($A1,$assem,$matdata) | ||
@benchmark assemble_coo!($A2,$assem,$matdata,$cache) |