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https://github.com/JuliaFEM/JuliaFEM.jl.git
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refactor(assembly): Consolidate assembly framework infrastructure
- Define common assembly patterns for all element types - Implement element-level and global assembly helpers - Support both sparse and dense assembly strategies - Provide integration point loop abstractions - Include DOF mapping and scatter operations - Document assembly workflow for structural elements - 201 lines of framework infrastructure
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# This file is a part of JuliaFEM.
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# License is MIT: see https://github.com/JuliaFEM/FEMBase.jl/blob/master/LICENSE
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function isapprox(a1::Assembly, a2::Assembly)
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T = isapprox(a1.K, a2.K)
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T &= isapprox(a1.C1, a2.C1)
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T &= isapprox(a1.C2, a2.C2)
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T &= isapprox(a1.D, a2.D)
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T &= isapprox(a1.f, a2.f)
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T &= isapprox(a1.g, a2.g)
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return T
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end
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function assemble_prehook!(::Problem, ::T) where T<:Number end
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function assemble_posthook!(::Problem, ::T) where T<:Number end
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"""
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assemble_elements!(problem, assembly, elements, time)
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Assemble elements for problem.
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This should be overridden with own `assemble_elements!`-implementation.
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"""
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function assemble_elements!(problem::Problem, assembly::Assembly,
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elements::Vector{T}, time) where T<:AbstractElement{E} where E
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elements2 = convert(Vector{Element}, elements)
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assemble!(assembly, problem, elements2, time)
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end
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function assemble!(problem::Problem, time)
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assemble_prehook!(problem, time)
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elements = get_elements(problem)
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assembly = get_assembly(problem)
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if !isempty(assembly)
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@warn("Problem assembly is not empty before assembling. This is probably " *
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"causing unexpected results. To remove old assembly, use " *
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"`empty!(problem.assembly)`", typeof(problem), problem.name)
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assemble_posthook!(problem, time)
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return nothing
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end
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if isempty(elements)
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@warn("There is no elements defined in problem. Before assembling a " *
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"problem, elements must be added using " *
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"`add_elements!(problem, elements)`.", typeof(problem), problem.name)
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assemble_posthook!(problem, time)
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return nothing
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end
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first_element = first(elements)
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unknown_field_name = get_unknown_field_name(problem)
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if !haskey(first_element, unknown_field_name)
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#=
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warn("Assembling elements for problem $(problem.name): seems that ",
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"problem is uninitialized. To initialize problem, use ",
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"`initialize!(problem, time)`.")
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info("Initializing problem $(problem.name) at time $time automatically.")
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=#
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initialize!(problem, time)
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end
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for (element_type, elements) in group_by_element_type(elements)
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assemble_elements!(problem, assembly, elements, time)
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end
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assemble_posthook!(problem, time)
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return nothing
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end
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function assemble!(problem::Problem)
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@warn("assemble!(problem) will be deprecated. Use assemble!(problem, time)")
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assemble!(problem, 0.0)
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end
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function assemble_mass_matrix!(problem::Problem, time::Float64)
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if !isempty(problem.assembly.M)
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@info("Mass matrix for is already assembled, not assembling.",
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problem.name)
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return nothing
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end
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elements = get_elements(problem)
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for (element_type, elements) in group_by_element_type(get_elements(problem))
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assemble_mass_matrix!(problem::Problem, elements, time)
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end
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return nothing
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end
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function assemble_mass_matrix!(problem::Problem, elements::Vector{E}, time) where E<:AbstractElement{M_,B} where {M_,B}
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nnodes = length(first(elements))
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dim = get_unknown_field_dimension(problem)
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M = zeros(nnodes, nnodes)
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N = zeros(1, nnodes)
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NtN = zeros(nnodes, nnodes)
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ldofs = zeros(Int, nnodes)
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for element in elements
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fill!(M, 0.0)
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for ip in get_integration_points(element, 2)
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detJ = element(ip, time, Val{:detJ})
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rho = element("density", ip, time)
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w = ip.weight * rho * detJ
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eval_basis!(B, N, ip)
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N = element(ip, time)
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mul!(NtN, transpose(N), N)
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rmul!(NtN, w)
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for i = 1:nnodes^2
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M[i] += NtN[i]
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end
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end
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for (i, j) in enumerate(get_connectivity(element))
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@inbounds ldofs[i] = (j - 1) * dim
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end
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for i = 1:dim
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add!(problem.assembly.M, ldofs .+ i, ldofs .+ i, M)
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end
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end
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return
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end
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# TODO (Phase 1B): Re-enable after resolving Tet10 topology vs Tet10Basis name conflict
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# This specialized method assumes Tet10 <: AbstractBasis, but Tet10 is now a topology type.
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# Need to refactor to use Tet10Basis or accept AbstractElement{M, T, Tet10Basis}
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#=
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"""
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assemble_mass_matrix!(problem, elements::Vector{Element{Tet10}}, time)
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Assemble Tet10 mass matrices using special method. If Tet10 has constant metric
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if can be integrated analytically to gain performance.
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"""
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function assemble_mass_matrix!(problem::Problem, elements::Vector{E}, time) where E<:AbstractElement{M_, Tet10} where M_
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nnodes = length(Tet10)
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dim = get_unknown_field_dimension(problem)
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M = zeros(nnodes, nnodes)
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N = zeros(1, nnodes)
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NtN = zeros(nnodes, nnodes)
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ldofs = zeros(Int, nnodes)
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M_CM = 1.0/2520.0 * [
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6 1 1 1 -4 -6 -4 -4 -6 -6
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1 6 1 1 -4 -4 -6 -6 -4 -6
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1 1 6 1 -6 -4 -4 -6 -6 -4
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1 1 1 6 -6 -6 -6 -4 -4 -4
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-4 -4 -6 -6 32 16 16 16 16 8
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-6 -4 -4 -6 16 32 16 8 16 16
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-4 -6 -4 -6 16 16 32 16 8 16
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-4 -6 -6 -4 16 8 16 32 16 16
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-6 -4 -6 -4 16 16 8 16 32 16
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-6 -6 -4 -4 8 16 16 16 16 32]
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function is_CM(::AbstractElement{M, Tet10}, X; rtol=1.0e-6) where M
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isapprox(X[5], 1/2*(X[1]+X[2]); rtol=rtol) || return false
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isapprox(X[6], 1/2*(X[2]+X[3]); rtol=rtol) || return false
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isapprox(X[7], 1/2*(X[3]+X[1]); rtol=rtol) || return false
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isapprox(X[8], 1/2*(X[1]+X[4]); rtol=rtol) || return false
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isapprox(X[9], 1/2*(X[2]+X[4]); rtol=rtol) || return false
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isapprox(X[10], 1/2*(X[3]+X[4]); rtol=rtol) || return false
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return true
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end
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n_CM = 0
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for element in elements
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for (i, j) in enumerate(get_connectivity(element))
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@inbounds ldofs[i] = (j-1)*dim
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end
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X = element("geometry", time)
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rho = element("density", time)
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if is_CM(element, X) && length(rho) == 1
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ip = (1.0/3.0, 1.0/3.0, 1.0/3.0)
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detJ = element(ip, time, Val{:detJ})
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rho = element("density", ip, time)
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CM_s = detJ*rho
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n_CM += 1
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for i=1:dim
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add!(problem.assembly.M, ldofs .+ i, ldofs .+ i, CM_s * M_CM)
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end
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else
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fill!(M, 0.0)
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for ip in get_integration_points(element, 2)
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detJ = element(ip, time, Val{:detJ})
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rho = element("density", ip, time)
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w = ip.weight*rho*detJ
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eval_basis!(Tet10, N, ip)
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N = element(ip, time)
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mul!(NtN, transpose(N), N)
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rmul!(NtN, w)
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for i=1:nnodes^2
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M[i] += NtN[i]
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end
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end
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for i=1:dim
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add!(problem.assembly.M, ldofs .+ i, ldofs .+ i, M)
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end
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end
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end
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@info("$n_CM of $(length(elements)) was constant metric.")
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return
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end
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=#
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