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Working multi-precision simulations
The pure gauge theory with groups SU(2) and SU(3) is working properly.
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8 changed files with 188 additions and 283 deletions
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@ -9,7 +9,7 @@
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### created: Thu Jul 15 11:27:28 2021
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###
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function gauge_action(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
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function gauge_action(U, lp::SpaceParm, gp::GaugeParm{T}, ymws::YMworkspace{T}) where T <: AbstractFloat
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CUDA.@sync begin
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CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_plaq!(ymws.cm, U, lp)
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@ -32,7 +32,7 @@ function plaquette(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
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end
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function hamiltonian(mom, U, lp, gp, ymws)
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K = norm_field(mom)/2.0
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K = CUDA.mapreduce(norm2, +, mom)/2
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V = gauge_action(U, lp, gp, ymws)
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println("K: ", K, " V: ", V)
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return K+V
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@ -42,7 +42,7 @@ function HMC!(U, eps, ns, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace; noacc
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ymws.U1 .= U
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randomn!(ymws.mom, lp)
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randomize!(ymws.mom, lp, ymws)
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hini = hamiltonian(ymws.mom, U, lp, gp, ymws)
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OMF4!(ymws.mom, U, eps, ns, lp, gp, ymws)
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@ -78,14 +78,14 @@ function krnl_updt!(mom, frc1, frc2, eps1, U, eps2, lp::SpaceParm)
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return nothing
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end
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function OMF4!(mom, U, eps, ns, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
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function OMF4!(mom, U, eps, ns, lp::SpaceParm, gp::GaugeParm{T}, ymws::YMworkspace{T}) where T <: AbstractFloat
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r1::Float64 = 0.08398315262876693
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r2::Float64 = 0.2539785108410595
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r3::Float64 = 0.6822365335719091
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r4::Float64 = -0.03230286765269967
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r5::Float64 = 0.5-r1-r3
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r6::Float64 = 1.0-2.0*(r2+r4)
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r1::T = 0.08398315262876693
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r2::T = 0.2539785108410595
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r3::T = 0.6822365335719091
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r4::T = -0.03230286765269967
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r5::T = 0.5-r1-r3
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r6::T = 1.0-2.0*(r2+r4)
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# ee = eps*gp.beta/gp.ng
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# @device_code_warntype force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp)
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@ -129,36 +129,35 @@ function OMF4!(mom, U, eps, ns, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
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# end
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ee = eps*gp.beta/gp.ng
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force0_wilson!(ymws.frc1, U, lp)
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zero!(ymws.frc2, lp)
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force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
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for i in 1:ns
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# STEP 1
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mom .= mom .+ (r1*ee) .* (ymws.frc1 .+ ymws.frc2)
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mom .= mom .+ (r1*ee) .* ymws.frc1
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U .= expm.(U, mom, eps*r2)
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# STEP 2
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force0_wilson!(ymws.frc1, U, lp)
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mom .= mom .+ (r3*ee) .* (ymws.frc1 .+ ymws.frc2)
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force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
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mom .= mom .+ (r3*ee) .* ymws.frc1
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U .= expm.(U, mom, eps*r4)
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# STEP 3
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force0_wilson!(ymws.frc1, U, lp)
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mom .= mom .+ (r5*ee) .* (ymws.frc1 .+ ymws.frc2)
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force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
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mom .= mom .+ (r5*ee) .* ymws.frc1
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U .= expm.(U, mom, eps*r6)
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# STEP 4
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force0_wilson!(ymws.frc1, U, lp)
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mom .= mom .+ (r5*ee) .* (ymws.frc1 .+ ymws.frc2)
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force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
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mom .= mom .+ (r5*ee) .* ymws.frc1
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U .= expm.(U, mom, eps*r4)
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# STEP 5
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force0_wilson!(ymws.frc1, U, lp)
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mom .= mom .+ (r3*ee) .* (ymws.frc1 .+ ymws.frc2)
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force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
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mom .= mom .+ (r3*ee) .* ymws.frc1
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U .= expm.(U, mom, eps*r2)
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# STEP 6
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force0_wilson!(ymws.frc1, U, lp)
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mom .= mom .+ (r1*ee) .* (ymws.frc1 .+ ymws.frc2)
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force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
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mom .= mom .+ (r1*ee) .* ymws.frc1
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end
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return nothing
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