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Added routines to measure flow observables
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5 changed files with 249 additions and 4 deletions
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@ -39,7 +39,7 @@ include("YM/YM.jl")
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using .YM
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export YMworkspace, GaugeParm, force0_wilson!, field, field_pln, randomize!, zero!, norm2
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export gauge_action, hamiltonian, plaquette, HMC!, OMF4!
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export wfl_euler, wfl_rk3, zfl_euler, zfl_rk3
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export wfl_euler, wfl_rk3, zfl_euler, zfl_rk3, Eoft_clover, Eoft_plaq, Qtop
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include("Scalar/Scalar.jl")
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using .Scalar
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@ -34,8 +34,8 @@ struct SpaceParm{N,M,D}
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N == length(y) || throw(ArgumentError("Block size incorrect length for dimension $N"))
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pls = Vector{Tuple{Int64, Int64}}()
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for i in 1:N
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for j in i+1:N
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for i in N:-1:1
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for j in 1:i-1
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push!(pls, (i,j))
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end
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end
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@ -98,6 +98,6 @@ include("YMhmc.jl")
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export gauge_action, hamiltonian, plaquette, HMC!, OMF4!
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include("YMflow.jl")
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export wfl_euler, wfl_rk3, zfl_euler, zfl_rk3
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export wfl_euler, wfl_rk3, zfl_euler, zfl_rk3, Eoft_clover, Eoft_plaq, Qtop
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end
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234
src/YM/YMflow.jl
234
src/YM/YMflow.jl
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@ -117,3 +117,237 @@ wfl_euler(U, ns, eps, lp::SpaceParm, ymws::YMworkspace) = flw_euler(U, ns, eps,
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zfl_euler(U, ns, eps, lp::SpaceParm, ymws::YMworkspace) = flw_euler(U, ns, eps, 5.0/3.0, lp, ymws, add_zth=true)
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wfl_rk3(U, ns, eps, lp::SpaceParm, ymws::YMworkspace) = flw_rk3(U, ns, eps, 1, lp, ymws)
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zfl_rk3(U, ns, eps, lp::SpaceParm, ymws::YMworkspace) = flw_rk3(U, ns, eps, 5.0/3.0, lp, ymws, add_zth=true)
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##
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# Observables
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##
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function Eoft_plaq(Eslc, U, gp::GaugeParm{T}, lp::SpaceParm{N,M,D}, ymws::YMworkspace) where {T,N,M,D}
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@timeit "E(t) plaquette measurement" begin
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tp = ntuple(i->i, N-1)
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V3 = prod(lp.iL[1:end-1])
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fill!(Eslc,zero(T))
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Etmp = zeros(T,lp.iL[end])
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for ipl in 1:M
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fill!(Etmp, zero(T))
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_plaq_pln!(ymws.cm, U, ipl, lp)
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end
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Etmp .= (gp.ng .- reshape(Array(CUDA.mapreduce(real, +, ymws.cm;dims=tp)),lp.iL[end])/V3 )
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if ipl < N
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for it in 2:lp.iL[end]
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Eslc[it,ipl] = Etmp[it] + Etmp[it-1]
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end
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Eslc[1,ipl] = Etmp[1] + Etmp[end]
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else
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for it in 1:lp.iL[end]
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Eslc[it,ipl] = 2*Etmp[it]
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end
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end
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end
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end
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return sum(Eslc)/lp.iL[end]
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end
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Eoft_plaq(U, gp::GaugeParm{T}, lp::SpaceParm{N,M,D}, ymws::YMworkspace) where {T,N,M,D} = Eoft_plaq(zeros(T,lp.iL[end],M), U, gp, lp, ymws)
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function krnl_plaq_pln!(plx, U::AbstractArray{T}, ipl, lp::SpaceParm{N,M,D}) where {T,N,M,D}
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b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
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id1, id2 = lp.plidx[ipl]
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bu1, ru1 = up((b, r), id1, lp)
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bu2, ru2 = up((b, r), id2, lp)
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I = point_coord((b,r), lp)
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plx[I] = tr(U[b,1,r]*U[bu1,id2,ru1] / (U[b,2,r]*U[bu2,id1,ru2]))
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return nothing
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end
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function Qtop(Qslc, U, lp::SpaceParm{4,M,D}, ymws::YMworkspace) where {M,D}
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@timeit "Qtop measurement" begin
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tp = (1,2,3)
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, 1,5, lp)
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end
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_qd!(ymws.rm, +, ymws.frc1, ymws.frc2, U, lp)
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end
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, 2,4, lp)
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end
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_qd!(ymws.rm, -, ymws.frc1, ymws.frc2, U, lp)
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end
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, 3,6, lp)
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end
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_qd!(ymws.rm, +, ymws.frc1, ymws.frc2, U, lp)
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end
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Qslc .= reshape(Array(CUDA.reduce(+, ymws.rm; dims=tp)),lp.iL[end])./(32*pi^2)
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end
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return sum(Qslc)
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end
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Qtop(U, lp::SpaceParm{4,M,D}, ymws::YMworkspace{T}) where {T,M,D} = Qtop(zeros(T,lp.iL[end],M), U, lp, ymws)
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function Eoft_clover(Eslc, U, lp::SpaceParm{4,M,D}, ymws::YMworkspace{T}) where {T,M,D}
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function acum(ipl1, ipl2, Etmp)
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tp = (1,2,3)
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V3 = prod(lp.iL[1:end-1])
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_et!(ymws.rm, +, ymws.frc1, U, lp)
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end
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Etmp .= reshape(Array(CUDA.reduce(+, ymws.rm;dims=tp)),lp.iL[end])/V3
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for it in 1:lp.iL[end]
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Eslc[it,ipl1] = Etmp[it]/8
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end
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_et!(ymws.rm, +, ymws.frc2, U, lp)
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end
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Etmp .= reshape(Array(CUDA.reduce(+, ymws.rm;dims=tp)),lp.iL[end])/V3
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for it in 1:lp.iL[end]
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Eslc[it,ipl1] = Etmp[it]/8
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end
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return nothing
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end
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@timeit "E(t) clover measurement" begin
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fill!(Eslc,zero(T))
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Etmp = zeros(T,lp.iL[end])
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, 1,2, lp)
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end
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acum(1,2,Etmp)
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, 3,4, lp)
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end
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acum(3,4,Etmp)
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, 5,6, lp)
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end
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acum(5,6,Etmp)
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end
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return sum(Eslc)/lp.iL[end]
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end
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Eoft_clover(U, lp::SpaceParm{N,M,D}, ymws::YMworkspace{T}) where {T,N,M,D} = Eoft_clover(zeros(T,lp.iL[end],M), U, lp, ymws)
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function krnl_add_et!(rm, op, frc1, U, lp::SpaceParm{4,M,D}) where {M,D}
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b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
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X1 = (frc1[b,1,r]+frc1[b,2,r]+frc1[b,3,r]+frc1[b,4,r])
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I = point_coord((b,r), lp)
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rm[I] = dot(X1,X1)
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return nothing
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end
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function krnl_add_qd!(rm, op, frc1, frc2, U, lp::SpaceParm{4,M,D}) where {M,D}
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b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
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I = point_coord((b,r), lp)
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rm[I] = op(dot( (frc1[b,1,r]+frc1[b,2,r]+frc1[b,3,r]+frc1[b,4,r]),
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(frc2[b,1,r]+frc2[b,2,r]+frc2[b,3,r]+frc2[b,4,r]) ) )
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return nothing
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end
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function krnl_field_tensor!(frc1, frc2, U::AbstractArray{T}, ipl1, ipl2, lp::SpaceParm{4,M,D}) where {T,M,D}
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b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
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Ush = @cuStaticSharedMem(T, (D,2))
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#First plane
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id1, id2 = lp.plidx[ipl1]
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Ush[b,1] = U[b,id1,r]
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Ush[b,2] = U[b,id2,r]
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sync_threads()
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bu1, ru1 = up((b, r), id1, lp)
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bu2, ru2 = up((b, r), id2, lp)
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bd, rd = up((bu1, ru1), id2, lp)
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if ru1 == r
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gt1 = Ush[bu1,2]
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else
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gt1 = U[bu1,id2,ru1]
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end
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if ru2 == r
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gt2 = Ush[bu2,1]
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else
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gt2 = U[bu2,id1,ru2]
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end
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l1 = gt1/gt2
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l2 = Ush[b,2]\Ush[b,1]
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frc1[b,1,r] = projalg(Ush[b,1]*l1/Ush[b,2])
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frc1[bu1,2,ru1] = projalg(l1*l2)
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frc1[bd,3,rd] = projalg(gt2\(l2*gt1))
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frc1[bu2,4,ru2] = projalg(l2*l1)
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# Second plane
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id1, id2 = lp.plidx[ipl2]
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Ush[b,1] = U[b,id1,r]
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Ush[b,2] = U[b,id2,r]
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sync_threads()
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bu1, ru1 = up((b, r), id1, lp)
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bu2, ru2 = up((b, r), id2, lp)
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bd, rd = up((bu1, ru1), id2, lp)
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if ru1 == r
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gt1 = Ush[bu1,2]
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else
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gt1 = U[bu1,id2,ru1]
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end
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if ru2 == r
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gt2 = Ush[bu2,1]
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else
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gt2 = U[bu2,id1,ru2]
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end
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l1 = gt1/gt2
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l2 = Ush[b,2]\Ush[b,1]
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frc2[b,1,r] = projalg(Ush[b,1]*l1/Ush[b,2])
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frc2[bu1,2,ru1] = projalg(l1*l2)
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frc2[bd,3,rd] = projalg(gt2\(l2*gt1))
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frc2[bu2,4,ru2] = projalg(l2*l1)
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return nothing
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end
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@ -61,6 +61,17 @@ wfl_rk3(U, 1, 0.01, lp, ymws)
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println("Action: ", gauge_action(U, lp, gp, ymws))
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println("Time for 100 steps of RK3 flow integrator: ")
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@time wfl_rk3(U, 100, 0.01, lp, ymws)
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eoft = Eoft_plaq(U, gp, lp, ymws)
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eoft = Eoft_clover(U, lp, ymws)
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qtop = Qtop(U, lp, ymws)
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@time eoft = Eoft_plaq(U, gp, lp, ymws)
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println("Plaq: ", eoft)
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@time eoft = Eoft_clover(U, lp, ymws)
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println("Clov: ", eoft)
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@time qtop = Qtop(U, lp, ymws)
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println("Qtop: ", qtop)
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println("Action: ", gauge_action(U, lp, gp, ymws))
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println("## END Wilson action/flow measurements")
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