lattice/latticegpu.jl
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Implemented twisted BC for improved actions and flow

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Still rigurous tests should be done.
This commit is contained in:
Alberto Ramos 2023-01-28 23:40:05 +01:00
parent 9ba55b10f8
commit 772b4c62f4
4 changed files with 126 additions and 51 deletions
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115
src/YM/YMact.jl
View file

@ -13,18 +13,23 @@ function krnl_impr!(plx, U::AbstractArray{T}, c0, c1, Ubnd::NTuple{NB,T}, cG, zt
b = Int64(CUDA.threadIdx().x)
r = Int64(CUDA.blockIdx().x)
it = point_time((b, r), lp)
I = point_coord((b,r), lp)
it = I[N]
ipl = 0
S = zero(eltype(plx))
@inbounds begin
for id1 in N:-1:1
bu1, ru1 = up((b, r), id1, lp)
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1==N)
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1==N)
for id2 = 1:id1-1
bu2, ru2 = up((b, r), id2, lp)
ipl = ipl + 1
TWP = (I[id1]==1) && (I[id2]==1)
TWH2 = TWP || ( (I[id1]==lp.iL[id1]) && (I[id2]==1) )
TWH3 = TWP || ( (I[id1]==1) && (I[id2]==lp.iL[id2]) )
# H2 staple
(b1, r1) = up((b,r), id1, lp)
@ -64,14 +69,26 @@ function krnl_impr!(plx, U::AbstractArray{T}, c0, c1, Ubnd::NTuple{NB,T}, cG, zt
elseif (it == 1) && SFBC
S += cG*(c0*tr(g2*ga/U[bu2,id1,ru2]) + (3*c1/2)*tr(g2*ga/h3)) + c1*tr(g2*h2/U[bu2,id1,ru2])
else
S += ztw[ipl]*c0*tr(g2*ga/U[bu2,id1,ru2]) +
(ztw[ipl]^2*c1)*( tr(g2*h2/U[bu2,id1,ru2]) + tr(g2*ga/h3))
if TWP
S += (ztw[ipl]*c0)*tr(g2*ga/U[bu2,id1,ru2])
else
S += c0*tr(g2*ga/U[bu2,id1,ru2])
end
if TWH2
S += (ztw[ipl]*c1)*tr(g2*h2/U[bu2,id1,ru2])
else
S += c1*tr(g2*h2/U[bu2,id1,ru2])
end
if TWH3
S += (ztw[ipl]*c1)*tr(g2*ga/h3)
else
S += c1*tr(g2*ga/h3)
end
end
end
end
I = point_coord((b,r), lp)
plx[I] = S
end
@ -84,9 +101,8 @@ function krnl_plaq!(plx, U::AbstractArray{T}, Ubnd, cG, ztw, lp::SpaceParm{N,M,B
@inbounds begin
b = Int64(CUDA.threadIdx().x)
r = Int64(CUDA.blockIdx().x)
TWP = (b==1) && (r==1)
it = point_time((b, r), lp)
I = point_coord((b,r), lp)
it = I[N]
IBND = ( ( (B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) &&
( (it == 1) || (it == lp.iL[end])) )
@ -99,7 +115,8 @@ function krnl_plaq!(plx, U::AbstractArray{T}, Ubnd, cG, ztw, lp::SpaceParm{N,M,B
for id2 = 1:id1-1
bu2, ru2 = up((b, r), id2, lp)
ipl = ipl + 1
TWP = (I[id1]==1) && (I[id2]==1)
if SFBND && (it == lp.iL[end])
gt1 = Ubnd[id2]
else
@ -118,7 +135,6 @@ function krnl_plaq!(plx, U::AbstractArray{T}, Ubnd, cG, ztw, lp::SpaceParm{N,M,B
end
end
I = point_coord((b,r), lp)
plx[I] = S
end
@ -129,13 +145,14 @@ function krnl_force_wilson_pln!(frc1, frc2, U::AbstractArray{T}, Ubnd, cG, ztw,
b = Int64(CUDA.threadIdx().x)
r = Int64(CUDA.blockIdx().x)
TWP = (b==1) && (r==1)
it = point_time((b,r), lp)
I = point_coord((b,r), lp)
it = I[N]
@inbounds begin
id1, id2 = lp.plidx[ipl]
bu1, ru1 = up((b, r), id1, lp)
bu2, ru2 = up((b, r), id2, lp)
TWP = (I[id1]==1)&&(I[id2]==1)
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == N)
@ -149,17 +166,17 @@ function krnl_force_wilson_pln!(frc1, frc2, U::AbstractArray{T}, Ubnd, cG, ztw,
g2 = U[b,id2,r]\U[b,id1,r]
if SFBC && (it == 1)
X = cG*projalg(ztw,U[b,id1,r]*g1/U[b,id2,r])
X = cG*projalg(U[b,id1,r]*g1/U[b,id2,r])
frc1[b ,id1, r ] -= X
frc2[bu1,id2,ru1] -= cG*projalg(ztw,g1*g2)
frc2[bu2,id1,ru2] += cG*projalg(ztw,g2*g1)
frc2[bu1,id2,ru1] -= cG*projalg(g1*g2)
frc2[bu2,id1,ru2] += cG*projalg(g2*g1)
elseif SFBC && (it == lp.iL[end])
X = cG*projalg(ztw,U[b,id1,r]*g1/U[b,id2,r])
X = cG*projalg(U[b,id1,r]*g1/U[b,id2,r])
frc1[b ,id1, r ] -= X
frc1[b ,id2, r ] += X
frc2[bu2,id1,ru2] += cG*projalg(ztw,g2*g1)
frc2[bu2,id1,ru2] += cG*projalg(g2*g1)
else
if TWP
X = projalg(ztw,U[b,id1,r]*g1/U[b,id2,r])
@ -182,7 +199,8 @@ function krnl_force_impr_pln!(frc1, frc2, U::AbstractArray{T}, c0, c1, Ubnd, cG,
b = Int64(CUDA.threadIdx().x)
r = Int64(CUDA.blockIdx().x)
it = point_time((b, r), lp)
I = point_coord((b,r), lp)
it = I[N]
@inbounds begin
id1, id2 = lp.plidx[ipl]
@ -190,6 +208,11 @@ function krnl_force_impr_pln!(frc1, frc2, U::AbstractArray{T}, c0, c1, Ubnd, cG,
bu2, ru2 = up((b, r), id2, lp)
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == N)
TWP = (I[id1]==1) && (I[id2]==1)
TWH1 = TWP || ( (I[id1]==1) && (I[id2]==2) )
TWH2 = TWP || ( (I[id1]==lp.iL[id1]) && (I[id2]==1) )
TWH3 = TWP || ( (I[id1]==1) && (I[id2]==lp.iL[id2]) )
TWH4 = TWP || ( (I[id1]==2) && (I[id2]==1) )
# H1 staple
(b1, r1) = dw((b,r), id2, lp)
@ -203,8 +226,6 @@ function krnl_force_impr_pln!(frc1, frc2, U::AbstractArray{T}, c0, c1, Ubnd, cG,
# H2 staple
(b1, r1) = up((b,r), id1, lp)
ga =
(b2, r2) = up((b1,r1), id1, lp)
if SFBC && (it == lp.iL[end]-1)
gb = Ubnd[id2]
@ -262,18 +283,50 @@ function krnl_force_impr_pln!(frc1, frc2, U::AbstractArray{T}, c0, c1, Ubnd, cG,
frc2[bu2,id1,ru2] += (cG*c0)*projalg(g2*g1) + (3*c1*cG/2) * projalg((U[b,id2,r]\h1)*g1) +
c1 * projalg(h4\U[b,id1,r]*g1)
else
zsq = ztw[ipl]^2
X = projalg(c0*ztw[ipl],U[b,id1,r]*g1/U[b,id2,r]) + projalg(zsq*c1,U[b,id1,r]*h2/(U[b,id2,r]*U[bu2,id1,ru2])) +
projalg(zsq*c1,U[b,id1,r]*ga/(U[b,id2,r]*h3))
if TWP
X = projalg(c0*ztw,U[b,id1,r]*g1/U[b,id2,r])
frc2[bu1,id2,ru1] -= projalg(c0*ztw,g1*g2)
frc2[bu2,id1,ru2] += projalg(c0*ztw,g2*g1)
else
X = c0*projalg(U[b,id1,r]*g1/U[b,id2,r])
frc2[bu1,id2,ru1] -= c0*projalg(g1*g2)
frc2[bu2,id1,ru2] += c0*projalg(g2*g1)
end
if TWH1
frc1[b,id2,r] += projalg(ztw*c1,h1*g1/U[b,id2,r])
frc2[bu1,id2,ru1] -= projalg(ztw*c1,(g1/U[b,id2,r])*h1)
frc2[bu2,id1,ru2] += projalg(ztw*c1,(U[b,id2,r]\h1)*g1)
else
frc1[b,id2,r] += c1*projalg(h1*g1/U[b,id2,r])
frc2[bu1,id2,ru1] -= c1*projalg((g1/U[b,id2,r])*h1)
frc2[bu2,id1,ru2] += c1*projalg((U[b,id2,r]\h1)*g1)
end
if TWH2
X += projalg(ztw*c1,U[b,id1,r]*h2/(U[b,id2,r]*U[bu2,id1,ru2]))
frc2[bu2,id1,ru2] += projalg(ztw*c1,g2*h2/U[bu2,id1,ru2])
else
X += c1*projalg(U[b,id1,r]*h2/(U[b,id2,r]*U[bu2,id1,ru2]))
frc2[bu2,id1,ru2] += c1*projalg(g2*h2/U[bu2,id1,ru2])
end
if TWH3
X += projalg(ztw*c1,U[b,id1,r]*ga/(U[b,id2,r]*h3))
frc2[bu1,id2,ru1] -= projalg(ztw*c1,(ga/h3)*g2)
else
X += c1*projalg(U[b,id1,r]*ga/(U[b,id2,r]*h3))
frc2[bu1,id2,ru1] -= c1*projalg((ga/h3)*g2)
end
if TWH4
frc1[b,id1,r] -= projalg(ztw*c1,U[b,id1,r]*g1/h4)
frc2[bu1,id2,ru1] -= projalg(ztw*c1,(g1/h4)*U[b,id1,r])
frc2[bu2,id1,ru2] += projalg(ztw*c1,h4\U[b,id1,r]*g1)
else
frc1[b,id1,r] -= c1*projalg(U[b,id1,r]*g1/h4)
frc2[bu1,id2,ru1] -= c1*projalg((g1/h4)*U[b,id1,r])
frc2[bu2,id1,ru2] += c1*projalg(h4\U[b,id1,r]*g1)
end
frc1[b,id1,r] -= X
frc1[b,id2,r] += X
frc1[b,id1,r] -= X + projalg(zsq*c1,U[b,id1,r]*g1/h4)
frc1[b,id2,r] += X + projalg(zsq*c1,h1*g1/U[b,id2,r])
frc2[bu1,id2,ru1] -= projalg(c0*ztw[ipl],g1*g2) + projalg(zsq*c1,(ga/h3)*g2) +
projalg(zsq*c1,(g1/h4)*U[b,id1,r]) + projalg(zsq*c1,(g1/U[b,id2,r])*h1)
frc2[bu2,id1,ru2] += projalg(c0*ztw[ipl],g2*g1) + projalg(zsq*c1,(U[b,id2,r]\h1)*g1) +
projalg(zsq*c1,g2*h2/U[bu2,id1,ru2]) + projalg(zsq*c1,h4\U[b,id1,r]*g1)
end
end

53
src/YM/YMflow.jl
View file

@ -251,10 +251,12 @@ function krnl_plaq_pln!(plx, U::AbstractArray{T}, Ubnd, ztw, ipl, lp::SpaceParm{
@inbounds begin
b = Int64(CUDA.threadIdx().x)
r = Int64(CUDA.blockIdx().x)
I = point_coord((b,r), lp)
id1, id2 = lp.plidx[ipl]
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI)) && (id1 == lp.iL[end])
TWP = ((I[id1]==1)&&(I[id2]==1))
bu1, ru1 = up((b, r), id1, lp)
bu2, ru2 = up((b, r), id2, lp)
@ -264,8 +266,11 @@ function krnl_plaq_pln!(plx, U::AbstractArray{T}, Ubnd, ztw, ipl, lp::SpaceParm{
gt = U[bu1,id2,ru1]
end
I = point_coord((b,r), lp)
plx[I] = ztw*tr(U[b,id1,r]*gt / (U[b,id2,r]*U[bu2,id1,ru2]))
if TWP
plx[I] = ztw*tr(U[b,id1,r]*gt / (U[b,id2,r]*U[bu2,id1,ru2]))
else
plx[I] = tr(U[b,id1,r]*gt / (U[b,id2,r]*U[bu2,id1,ru2]))
end
end
return nothing
@ -409,13 +414,14 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
@inbounds begin
b = Int64(CUDA.threadIdx().x)
r = Int64(CUDA.blockIdx().x)
it = point_time((b,r), lp)
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) )
I = point_coord((b,r), lp)
it = I[4]
#First plane
id1, id2 = lp.plidx[ipl1]
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == 4)
TWP = ((I[id1]==1)&&(I[id2]==1))
bu1, ru1 = up((b, r), id1, lp)
bu2, ru2 = up((b, r), id2, lp)
bd, rd = up((bu1, ru1), id2, lp)
@ -434,15 +440,23 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
frc1[bd,3,rd] = zero(TA)
frc1[bu2,4,ru2] = projalg(l2*l1)
else
frc1[b,1,r] = projalg(ztw1, U[b,id1,r]*l1/U[b,id2,r])
frc1[bu1,2,ru1] = projalg(ztw1, l1*l2)
frc1[bd,3,rd] = projalg(ztw1, U[bu2,id1,ru2]\(l2*gt1))
frc1[bu2,4,ru2] = projalg(ztw1, l2*l1)
if TWP
frc1[b,1,r] = projalg(ztw1, U[b,id1,r]*l1/U[b,id2,r])
frc1[bu1,2,ru1] = projalg(ztw1, l1*l2)
frc1[bd,3,rd] = projalg(ztw1, U[bu2,id1,ru2]\(l2*gt1))
frc1[bu2,4,ru2] = projalg(ztw1, l2*l1)
else
frc1[b,1,r] = projalg(U[b,id1,r]*l1/U[b,id2,r])
frc1[bu1,2,ru1] = projalg(l1*l2)
frc1[bd,3,rd] = projalg(U[bu2,id1,ru2]\(l2*gt1))
frc1[bu2,4,ru2] = projalg(l2*l1)
end
end
# Second plane
id1, id2 = lp.plidx[ipl2]
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == 4)
TWP = ((I[id1]==1)&&(I[id2]==1))
bu1, ru1 = up((b, r), id1, lp)
bu2, ru2 = up((b, r), id2, lp)
@ -462,10 +476,17 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
frc2[bd,3,rd] = zero(TA)
frc2[bu2,4,ru2] = projalg(l2*l1)
else
frc2[b,1,r] = projalg(ztw2, U[b,id1,r]*l1/U[b,id2,r])
frc2[bu1,2,ru1] = projalg(ztw2, l1*l2)
frc2[bd,3,rd] = projalg(ztw2, U[bu2,id1,ru2]\(l2*gt1))
frc2[bu2,4,ru2] = projalg(ztw2, l2*l1)
if TWP
frc2[b,1,r] = projalg(ztw2, U[b,id1,r]*l1/U[b,id2,r])
frc2[bu1,2,ru1] = projalg(ztw2, l1*l2)
frc2[bd,3,rd] = projalg(ztw2, U[bu2,id1,ru2]\(l2*gt1))
frc2[bu2,4,ru2] = projalg(ztw2, l2*l1)
else
frc2[b,1,r] = projalg(U[b,id1,r]*l1/U[b,id2,r])
frc2[bu1,2,ru1] = projalg(l1*l2)
frc2[bd,3,rd] = projalg(U[bu2,id1,ru2]\(l2*gt1))
frc2[bu2,4,ru2] = projalg(l2*l1)
end
end
end