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9 changed files with 515 additions and 322 deletions
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@ -68,6 +68,14 @@ Base.:*(a::SU2alg,b::Number) = SU2alg(a.t1*b,a.t2*b,a.t3*b)
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Base.:*(b::Number,a::SU2alg) = SU2alg(a.t1*b,a.t2*b,a.t3*b)
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Base.:*(b::Number,a::SU2alg) = SU2alg(a.t1*b,a.t2*b,a.t3*b)
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Base.:/(a::SU2alg,b::Number) = SU2alg(a.t1/b,a.t2/b,a.t3/b)
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Base.:/(a::SU2alg,b::Number) = SU2alg(a.t1/b,a.t2/b,a.t3/b)
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function isgroup(a::SU2)
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tol = 1.0E-10
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if (abs2(a.t1) + abs2(a.t2) - 1.0 < 1.0E-10)
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return true
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else
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return false
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end
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end
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"""
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"""
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function Base.exp(a::SU2alg, t::Number=1)
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function Base.exp(a::SU2alg, t::Number=1)
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@ -155,3 +163,5 @@ function expm(g::SU2, a::SU2alg, t::Float64)
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return SU2(t1,t2)
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return SU2(t1,t2)
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end
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end
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export SU2, SU2alg, inverse, dag, tr, projalg, expm, exp, norm, norm2, isgroup
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@ -79,8 +79,21 @@ function Base.:\(a::SU3,b::SU3)
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end
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end
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function isgroup(a::SU3)
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tol = 1.0E-10
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g = a/a
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if ( (abs(g.u11 - 1.0) < tol) &&
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(abs(g.u12) < tol) &&
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(abs(g.u13) < tol) &&
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(abs(g.u21) < tol) &&
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(abs(g.u22 - 1.0) < tol) &&
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(abs(g.u23) < tol) )
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return true
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else
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return false
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end
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end
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struct SU3alg <: Algebra
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struct SU3alg <: Algebra
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t1::Float64
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t1::Float64
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@ -122,7 +135,7 @@ Base.:/(a::SU3alg,b::Number) = SU3alg(a.t1/b,a.t2/b,a.t3/b,a.t4/b,a.t5/b,a.t6/b,
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export SU3, SU3alg, inverse, dag, tr, projalg, expm, exp, norm, norm2
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export SU3, SU3alg, inverse, dag, tr, projalg, expm, exp, norm, norm2, isgroup
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struct M3x3
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struct M3x3
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u11::ComplexF64
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u11::ComplexF64
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@ -23,7 +23,7 @@ export SU2, SU2alg
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include("GroupSU3.jl")
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include("GroupSU3.jl")
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export SU3, SU3alg
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export SU3, SU3alg
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export dot, expm, exp, dag, normalize, inverse, tr, projalg, norm, norm2
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export dot, expm, exp, dag, normalize, inverse, tr, projalg, norm, norm2, isgroup
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end # module
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end # module
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@ -17,19 +17,19 @@ include("Groups/Groups.jl")
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using .Groups
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using .Groups
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export Group, Algebra
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export Group, Algebra
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export SU2, SU2alg, SU3, SU3alg
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export SU2, SU2alg, SU3, SU3alg
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export dot, expm, exp, dag, normalize, inverse, tr, projalg, norm, norm2
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export dot, expm, exp, dag, normalize, inverse, tr, projalg, norm, norm2, isgroup
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include("Space/Space.jl")
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include("Space/Space.jl")
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using .Space
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using .Space
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export SpaceParm, KernelParm
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export SpaceParm
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export map2latt, up, dw, shift
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export up, dw, updw
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include("YM/YM.jl")
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include("YM/YM.jl")
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using .YM
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using .YM
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export YMworkspace, GaugeParm, force0_wilson!, field, randomn!, zero!, norm2
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export YMworkspace, GaugeParm, force0_wilson!, field, field_pln, randomn!, zero!, norm2
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export gauge_action, hamiltonian, plaquette, HMC!, OMF4!
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export gauge_action, hamiltonian, plaquette, HMC!, OMF4!
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end # module
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end # module
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@ -16,11 +16,20 @@ struct SpaceParm{N,M}
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ndim::Int64
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ndim::Int64
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iL::NTuple{N,Int64}
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iL::NTuple{N,Int64}
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npls::Int64
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npls::Int64
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plidx::NTuple{M, Tuple{Int64, Int64}}
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plidx::NTuple{M,Tuple{Int64, Int64}}
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function SpaceParm{N}(x) where {N}
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blk::NTuple{N,Int64}
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blkS::NTuple{N,Int64}
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rbk::NTuple{N,Int64}
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rbkS::NTuple{N,Int64}
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bsz::Int64
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rsz::Int64
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function SpaceParm{N}(x, y) where {N}
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M = convert(Int64, round(N*(N-1)/2))
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M = convert(Int64, round(N*(N-1)/2))
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N == length(x) || throw(ArgumentError("Tuple of incorrect length for dimension $N"))
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N == length(x) || throw(ArgumentError("Lattice size incorrect length for dimension $N"))
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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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pls = Vector{Tuple{Int64, Int64}}()
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for i in 1:N
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for i in 1:N
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@ -28,120 +37,100 @@ struct SpaceParm{N,M}
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push!(pls, (i,j))
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push!(pls, (i,j))
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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 new{N,M}(N, x, M, tuple(pls...))
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r = div.(x, y)
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rS = ones(N)
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yS = ones(N)
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for i in 2:N
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for j in 1:i-1
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rS[i] = rS[i]*r[j]
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yS[i] = yS[i]*y[j]
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end
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end
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return new{N,M}(N, x, M, tuple(pls...), y,
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tuple(yS...), tuple(r...), tuple(rS...), prod(y), prod(r))
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end
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end
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end
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end
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export SpaceParm
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export SpaceParm
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struct KernelParm
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@inline function up(p::NTuple{2,Int64}, id::Int64, lp::SpaceParm)
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threads::Tuple{Int64,Int64,Int64}
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blocks::Tuple{Int64,Int64,Int64}
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end
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export KernelParm
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@inline shift(p::CartesianIndex{4}, sh::CartesianIndex{4}, lp::SpaceParm{4}) = CartesianIndex(mod1(p[1]+sh[1], lp.iL[1]),
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ic = mod(div(p[1]-1,lp.blkS[id]),lp.blk[id])
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mod1(p[2]+sh[2], lp.iL[2]),
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if (ic == lp.blk[id]-1)
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mod1(p[3]+sh[3], lp.iL[3]),
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b = p[1] - (lp.blk[id]-1)*lp.blkS[id]
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mod1(p[4]+sh[4], lp.iL[4]))
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@inline shift(p::CartesianIndex{3}, sh::CartesianIndex{3}, lp::SpaceParm{3}) = CartesianIndex(mod1(p[1]+sh[1], lp.iL[1]),
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mod1(p[2]+sh[2], lp.iL[2]),
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mod1(p[3]+sh[3], lp.iL[3]))
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@inline shift(p::CartesianIndex{2}, sh::CartesianIndex{2}, lp::SpaceParm{2}) = CartesianIndex(mod1(p[1]+sh[1], lp.iL[1]),
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mod1(p[2]+sh[2], lp.iL[2]))
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@inline function dw(p::CartesianIndex{4}, id, lp::SpaceParm{4})
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if (id == 1)
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ic = mod(div(p[2]-1,lp.rbkS[id]),lp.rbk[id])
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s = CartesianIndex(mod1(p[1]-1, lp.iL[1]), p[2], p[3], p[4])
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if (ic == lp.rbk[id]-1)
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elseif (id == 2)
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r = p[2] - (lp.rbk[id]-1)*lp.rbkS[id]
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s = CartesianIndex(p[1], mod1(p[2]-1, lp.iL[2]), p[3], p[4])
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else
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elseif (id == 3)
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r = p[2] + lp.rbkS[id]
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s = CartesianIndex(p[1], p[2], mod1(p[3]-1, lp.iL[3]), p[4])
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end
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elseif (id == 4)
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else
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s = CartesianIndex(p[1], p[2], p[3], mod1(p[4]-1, lp.iL[4]))
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b = p[1] + lp.blkS[id]
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end
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r = p[2]
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return s
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end
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@inline function dw(p::CartesianIndex{3}, id, lp::SpaceParm{3})
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if (id == 1)
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s = CartesianIndex(mod1(p[1]-1, lp.iL[1]), p[2], p[3])
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elseif (id == 2)
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s = CartesianIndex(p[1], mod1(p[2]-1, lp.iL[2]), p[3])
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elseif (id == 3)
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s = CartesianIndex(p[1], p[2], mod1(p[3]-1, lp.iL[3]))
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end
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return s
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end
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@inline function dw(p::CartesianIndex{2}, id, lp::SpaceParm{2})
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if (id == 1)
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s = CartesianIndex(mod1(p[1]-1, lp.iL[1]), p[2])
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elseif (id == 2)
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s = CartesianIndex(p[1], mod1(p[2]-1, lp.iL[2]))
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end
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return s
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end
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@inline function up(p::CartesianIndex{4}, id::Int64, lp::SpaceParm{4})
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if (id == 1)
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s = CartesianIndex(mod1(p[1]+1, lp.iL[1]), p[2], p[3], p[4])
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elseif (id == 2)
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s = CartesianIndex(p[1], mod1(p[2]+1, lp.iL[2]), p[3], p[4])
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elseif (id == 3)
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s = CartesianIndex(p[1], p[2], mod1(p[3]+1, lp.iL[3]), p[4])
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elseif (id == 4)
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s = CartesianIndex(p[1], p[2], p[3], mod1(p[4]+1, lp.iL[4]))
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end
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end
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return s
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return b, r
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end
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end
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@inline function up(p::CartesianIndex{3}, id::Int64, lp::SpaceParm{3})
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@inline function dw(p::NTuple{2,Int64}, id::Int64, lp::SpaceParm)
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if (id == 1)
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ic = mod(div(p[1]-1,lp.blkS[id]),lp.blk[id])
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s = CartesianIndex(mod1(p[1]+1, lp.iL[1]), p[2], p[3])
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if (ic == 0)
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elseif (id == 2)
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b = p[1] + (lp.blk[id]-1)*lp.blkS[id]
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s = CartesianIndex(p[1], mod1(p[2]+1, lp.iL[2]), p[3])
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ic = mod(div(p[2]-1,lp.rbkS[id]),lp.rbk[id])
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elseif (id == 3)
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if (ic == 0)
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s = CartesianIndex(p[1], p[2], mod1(p[3]+1, lp.iL[3]))
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r = p[2] + (lp.rbk[id]-1)*lp.rbkS[id]
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else
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r = p[2] - lp.rbkS[id]
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end
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else
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b = p[1] - lp.blkS[id]
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r = p[2]
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end
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end
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return s
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return b, r
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end
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end
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@inline function up(p::CartesianIndex{2}, id::Int64, lp::SpaceParm{2})
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@inline function updw(p::NTuple{2,Int64}, id::Int64, lp::SpaceParm)
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if (id == 1)
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ic = mod(div(p[1]-1,lp.blkS[id]),lp.blk[id])
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s = CartesianIndex(mod1(p[1]+1, lp.iL[1]), p[2])
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if (ic == lp.blk[id]-1)
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elseif (id == 2)
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bu = p[1] - (lp.blk[id]-1)*lp.blkS[id]
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s = CartesianIndex(p[1], mod1(p[2]+1, lp.iL[2]))
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bd = p[1] - lp.blkS[id]
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ic = mod(div(p[2]-1,lp.rbkS[id]),lp.rbk[id])
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if (ic == lp.rbk[id]-1)
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ru = p[2] - (lp.rbk[id]-1)*lp.rbkS[id]
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else
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ru = p[2] + lp.rbkS[id]
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end
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rd = p[2]
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elseif (ic == 0)
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bu = p[1] + lp.blkS[id]
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bd = p[1] + (lp.blk[id]-1)*lp.blkS[id]
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ic = mod(div(p[2]-1,lp.rbkS[id]),lp.rbk[id])
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if (ic == 0)
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rd = p[2] + (lp.rbk[id]-1)*lp.rbkS[id]
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else
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rd = p[2] - lp.rbkS[id]
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end
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ru = p[2]
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else
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bu = p[1] + lp.blkS[id]
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bd = p[1] - lp.blkS[id]
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rd = p[2]
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ru = p[2]
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end
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end
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return s
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return bu, ru, bd, rd
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end
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end
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@inline map2latt(th::NTuple{3,Int64},bl::NTuple{3,Int64}) = CartesianIndex(th[1],bl[3],bl[1],bl[2])
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export up, dw, updw
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@inline function map2latt(th::NTuple{3,Int64},bl::NTuple{3,Int64}, lp)
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i1 = mod1(th[1], lp.lblock[1]) + mod(bl[1], div(lp.iL[1],lp.lblock[1]))*lp.lblock[1]
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i2 = div(th[1]-1, lp.lblock[1]) + 1 + div(bl[1]-1, div(lp.iL[1],lp.lblock[1]))*lp.lblock[2]
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i3 = (bl[2] - 1) * lp.lblock[3] + th[2]
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i4 = (bl[3] - 1) * lp.lblock[4] + th[3]
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return CartesianIndex(i1,i2,i3,i4)
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end
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export map2latt, up, dw, shift
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end
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end
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14
src/YM/YM.jl
14
src/YM/YM.jl
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@ -24,7 +24,7 @@ end
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export GaugeParm
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export GaugeParm
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include("YMfields.jl")
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include("YMfields.jl")
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export field, randomn!, zero!, norm2
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export field, field_pln, randomn!, zero!, norm2
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struct YMworkspace
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struct YMworkspace
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frc1
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frc1
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@ -32,6 +32,7 @@ struct YMworkspace
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mom
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mom
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U1
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U1
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cm # complex of volume
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cm # complex of volume
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rm # float of volume
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function YMworkspace(::Type{T}, lp::SpaceParm) where {T <: Union{Group,Algebra}}
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function YMworkspace(::Type{T}, lp::SpaceParm) where {T <: Union{Group,Algebra}}
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if (T == SU2)
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if (T == SU2)
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@ -39,9 +40,6 @@ struct YMworkspace
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f2 = field(SU2alg, lp)
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f2 = field(SU2alg, lp)
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mm = field(SU2alg, lp)
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mm = field(SU2alg, lp)
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u1 = field(SU2, lp)
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u1 = field(SU2, lp)
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cs = zeros(ComplexF64,lp.iL...)
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rs = zeros(Float64, lp.iL...)
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return new(f1, f2, mm, u1, replace_storage(CuArray, cs))
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end
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end
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if (T == SU3)
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if (T == SU3)
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@ -49,11 +47,11 @@ struct YMworkspace
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f2 = field(SU3alg, lp)
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f2 = field(SU3alg, lp)
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mm = field(SU3alg, lp)
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mm = field(SU3alg, lp)
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u1 = field(SU3, lp)
|
u1 = field(SU3, lp)
|
||||||
cs = zeros(ComplexF64,lp.iL...)
|
|
||||||
rs = zeros(Float64, lp.iL...)
|
|
||||||
return new(f1, f2, mm, u1, replace_storage(CuArray, cs))
|
|
||||||
end
|
end
|
||||||
return nothing
|
cs = CuArray{ComplexF64, 2}(undef, lp.bsz,lp.rsz)
|
||||||
|
rs = CuArray{Float64, 2}(undef, lp.bsz,lp.rsz)
|
||||||
|
|
||||||
|
return new(f1, f2, mm, u1, cs, rs)
|
||||||
end
|
end
|
||||||
end
|
end
|
||||||
export YMworkspace
|
export YMworkspace
|
||||||
|
|
189
src/YM/YMact.jl
189
src/YM/YMact.jl
|
@ -12,68 +12,171 @@
|
||||||
function krnl_plaq!(plx, U, ipl, lp::SpaceParm)
|
function krnl_plaq!(plx, U, ipl, lp::SpaceParm)
|
||||||
|
|
||||||
id1, id2 = lp.plidx[ipl]
|
id1, id2 = lp.plidx[ipl]
|
||||||
X = map2latt((CUDA.threadIdx().x,CUDA.threadIdx().y,CUDA.threadIdx().z),
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
(CUDA.blockIdx().x,CUDA.blockIdx().y,CUDA.blockIdx().z))
|
bu1, ru1 = up((b, r), id1, lp)
|
||||||
Xu1 = up(X, id1, lp)
|
bu2, ru2 = up((b, r), id2, lp)
|
||||||
Xu2 = up(X, id2, lp)
|
|
||||||
|
|
||||||
@inbounds plx[X] = tr(U[X, id1]*U[Xu1, id2] / (U[X, id2]*U[Xu2, id1]))
|
@inbounds plx[b, r] = tr(U[b,r,id1]*U[bu1,ru1,id2] / (U[b,r,id2]*U[bu2,ru2,id1]))
|
||||||
|
|
||||||
return nothing
|
return nothing
|
||||||
end
|
end
|
||||||
|
|
||||||
function krnl_plaq!(plx, U, lp::SpaceParm)
|
function krnl_plaq!(plx, U, lp::SpaceParm)
|
||||||
|
|
||||||
X = map2latt((CUDA.threadIdx().x,CUDA.threadIdx().y,CUDA.threadIdx().z),
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
(CUDA.blockIdx().x,CUDA.blockIdx().y,CUDA.blockIdx().z))
|
if (b < 1) || (b > lp.bsz)
|
||||||
|
@cuprintln("Error b: %b, %r")
|
||||||
|
end
|
||||||
|
if (r < 1) || (r > lp.rsz)
|
||||||
|
@cuprintln("Error r: %b, %r")
|
||||||
|
end
|
||||||
|
|
||||||
@inbounds plx[X] = complex(0.0)
|
plx[b,r] = complex(0.0)
|
||||||
|
for ipl in 1:lp.npls
|
||||||
|
id1, id2 = lp.plidx[ipl]
|
||||||
|
|
||||||
|
bu1, ru1 = up((b, r), id1, lp)
|
||||||
|
bu2, ru2 = up((b, r), id2, lp)
|
||||||
|
if (bu1 < 1) || (bu1 > lp.bsz)
|
||||||
|
@cuprintln("Error bu1: %b, %r, %id1")
|
||||||
|
end
|
||||||
|
if (ru1 < 1) || (ru1 > lp.rsz)
|
||||||
|
@cuprintln("Error ru1: %b, %r, %id1")
|
||||||
|
end
|
||||||
|
if (bu2 < 1) || (bu2 > lp.bsz)
|
||||||
|
@cuprintln("Error bu2: %b, %r, %id2")
|
||||||
|
end
|
||||||
|
if (ru2 < 1) || (ru2 > lp.rsz)
|
||||||
|
@cuprintln("Error ru2: %b, %r, %id2")
|
||||||
|
end
|
||||||
|
|
||||||
|
plx[b,r] += tr(U[r,id1,b]*U[bu1,id2,ru1] / (U[b,id2,r]*U[bu2,id1,ru2]))
|
||||||
|
end
|
||||||
|
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function krnl_force_wilson_pln!(frc1, frc2, U, ipl, lp::SpaceParm)
|
||||||
|
|
||||||
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
|
|
||||||
|
@inbounds begin
|
||||||
|
id1, id2 = lp.plidx[ipl]
|
||||||
|
bu1, ru1 = up((b, r), id1, lp)
|
||||||
|
bu2, ru2 = up((b, r), id2, lp)
|
||||||
|
|
||||||
|
g1 = U[bu1,id2,ru1]/U[bu2,id1,ru2]
|
||||||
|
g2 = U[b,id2,r]\U[b,id1,r]
|
||||||
|
|
||||||
|
F1 = projalg(U[b,id1,r]*g1/U[b,id2,r])
|
||||||
|
F2 = projalg(g1*g2)
|
||||||
|
F3 = projalg(g2*g1)
|
||||||
|
|
||||||
|
frc1[b ,r,id1 ] -= F1
|
||||||
|
frc1[b ,r,id2 ] += F1
|
||||||
|
frc2[bu1,ru1,id2] -= F2
|
||||||
|
frc2[bu2,ru2,id1] += F3
|
||||||
|
end
|
||||||
|
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function krnl_force_wilson_nw!(fpl, U, lp::SpaceParm)
|
||||||
|
|
||||||
|
b = CUDA.threadIdx().x
|
||||||
|
ipl = mod1(CUDA.blockIdx().x, lp.npls)
|
||||||
|
r = div(CUDA.blockIdx().x-1, lp.npls)+1
|
||||||
|
|
||||||
|
@inbounds begin #for ipl in 1:lp.npls
|
||||||
|
id1, id2 = lp.plidx[ipl]
|
||||||
|
bu1, ru1 = up((b, r), id1, lp)
|
||||||
|
bu2, ru2 = up((b, r), id2, lp)
|
||||||
|
|
||||||
|
g1 = U[bu1,id2,ru1]/U[bu2,id1,ru2]
|
||||||
|
g2 = U[b,id2,r]\U[b,id1,r]
|
||||||
|
|
||||||
|
F1 = projalg(U[b,id1,r]*g1/U[b,id2,r])
|
||||||
|
F2 = projalg(g1*g2)
|
||||||
|
F3 = projalg(g2*g1)
|
||||||
|
|
||||||
|
fpl[b ,ipl, r ,1,1] = -F1
|
||||||
|
fpl[b ,ipl, r ,2,1] = F1
|
||||||
|
fpl[bu1,ipl, ru1,2,2] = -F2
|
||||||
|
fpl[bu2,ipl, ru2,1,2] = F3
|
||||||
|
end
|
||||||
|
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
function krnl_force_wilson!(frc, U, lp::SpaceParm)
|
||||||
|
|
||||||
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
|
|
||||||
|
@inbounds for id1 in 1:lp.ndim
|
||||||
|
bu1, ru1, bd1, rd1 = updw((b, r), id1, lp)
|
||||||
|
@inbounds for id2 in id1+1:lp.ndim
|
||||||
|
bu2, ru2, bd2, rd2 = updw((b, r), id2, lp)
|
||||||
|
bud, rud = dw((bu1,ru1), id2, lp)
|
||||||
|
bdu, rdu = dw((bu2,ru2), id1, lp)
|
||||||
|
|
||||||
|
F1 = projalg(U[b,id1,r]*U[bu1,id2,ru1]/(U[b,id2,r]*U[bu2,id1,ru2]))
|
||||||
|
F2 = projalg((U[b,id2,r]/(U[bd1,id2,rd1]*U[bdu,id1,rdu]))*U[bd1,id1,rd1])
|
||||||
|
F3 = projalg((U[bd2,id2,rd2]\U[bd2,id1,rd2])*(U[bud,id2,rud]/U[b,id1,r]))
|
||||||
|
|
||||||
|
frc[b,r,id1] -= F1 - F3
|
||||||
|
frc[b,r,id2] += F1 - F2
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function krnl_add_force_plns!(frc, fpl, lp::SpaceParm)
|
||||||
|
|
||||||
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
@inbounds for ipl in 1:lp.npls
|
@inbounds for ipl in 1:lp.npls
|
||||||
id1, id2 = lp.plidx[ipl]
|
id1, id2 = lp.plidx[ipl]
|
||||||
Xu1 = up(X, id1, lp)
|
frc[b,r,id1] += fpl[b,ipl,r,1,1] + fpl[b,ipl,r,1,2]
|
||||||
Xu2 = up(X, id2, lp)
|
frc[b,r,id2] += fpl[b,ipl,r,2,1] + fpl[b,ipl,r,2,2]
|
||||||
|
|
||||||
plx[X] += tr(U[X, id1]*U[Xu1, id2] / (U[X, id2]*U[Xu2, id1]))
|
|
||||||
end
|
|
||||||
|
|
||||||
return nothing
|
|
||||||
end
|
|
||||||
|
|
||||||
function krnl_force_wilson_pln!(frc1, frc2, U, ipl, lp::SpaceParm, gp::GaugeParm)
|
|
||||||
|
|
||||||
X = map2latt((CUDA.threadIdx().x,CUDA.threadIdx().y,CUDA.threadIdx().z),
|
|
||||||
(CUDA.blockIdx().x,CUDA.blockIdx().y,CUDA.blockIdx().z))
|
|
||||||
|
|
||||||
id1, id2 = lp.plidx[ipl]
|
|
||||||
Xu1 = up(X, id1, lp)
|
|
||||||
Xu2 = up(X, id2, lp)
|
|
||||||
|
|
||||||
a = U[Xu1,id2]/U[Xu2,id1]
|
|
||||||
b = U[X ,id2]\U[X ,id1]
|
|
||||||
|
|
||||||
F1 = projalg(U[X,id1]*a/U[X,id2])
|
|
||||||
F2 = projalg(a*b)
|
|
||||||
F3 = projalg(b*a)
|
|
||||||
|
|
||||||
@inbounds begin
|
|
||||||
frc1[X ,id1] -= F1
|
|
||||||
frc1[X ,id2] += F1
|
|
||||||
frc2[Xu1,id2] -= F2
|
|
||||||
frc2[Xu2,id1] += F3
|
|
||||||
end
|
end
|
||||||
|
|
||||||
return nothing
|
return nothing
|
||||||
end
|
end
|
||||||
|
|
||||||
function force0_wilson!(frc1, frc2, U, lp::SpaceParm, gp::GaugeParm, kp::KernelParm)
|
function force0_wilson_pln!(frc1, frc2, U, lp::SpaceParm)
|
||||||
|
|
||||||
zero!(frc1)
|
zero!(frc1, lp)
|
||||||
zero!(frc2)
|
zero!(frc2, lp)
|
||||||
for ipl in 1:lp.npls
|
for i in 1:lp.npls
|
||||||
CUDA.@sync begin
|
CUDA.@sync begin
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_force_wilson_pln!(frc1,frc2,U,ipl,lp,gp)
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_force_wilson_pln!(frc1,frc2,U,i,lp)
|
||||||
end
|
end
|
||||||
end
|
end
|
||||||
|
|
||||||
return nothing
|
return nothing
|
||||||
end
|
end
|
||||||
|
|
||||||
|
function force0_wilson!(frc1, U, lp::SpaceParm)
|
||||||
|
|
||||||
|
zero!(frc1, lp)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_force_wilson!(frc1,U,lp)
|
||||||
|
end
|
||||||
|
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function force0_wilson_nw!(frc1, fpln, U, lp::SpaceParm)
|
||||||
|
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz*lp.npls krnl_force_wilson_nw!(fpln,U,lp)
|
||||||
|
end
|
||||||
|
zero!(frc1, lp)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_force_plns!(frc1, fpln,lp)
|
||||||
|
end
|
||||||
|
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
|
@ -9,154 +9,198 @@
|
||||||
### created: Thu Jul 15 15:16:47 2021
|
### created: Thu Jul 15 15:16:47 2021
|
||||||
###
|
###
|
||||||
|
|
||||||
|
un(t) = t <: Union{Group, Complex}
|
||||||
|
|
||||||
function field(::Type{T}, lp::SpaceParm) where {T <: Union{Group, Algebra}}
|
function field(::Type{T}, lp::SpaceParm) where {T <: Union{Group, Algebra}}
|
||||||
|
|
||||||
sz = lp.iL..., lp.ndim
|
sz = lp.bsz, lp.ndim, lp.rsz
|
||||||
if (T == SU2)
|
if (T == SU2)
|
||||||
As = StructArray{SU2}((ones(ComplexF64, sz), zeros(ComplexF64, sz)))
|
# As = StructArray{SU2}(undef, sz, unwrap=un)
|
||||||
|
return CuArray{SU2, 3}(undef, sz)
|
||||||
elseif (T == SU2alg)
|
elseif (T == SU2alg)
|
||||||
As = StructArray{SU2alg}((zeros(Float64, sz),
|
# As = StructArray{SU2alg}(undef, sz, unwrap=un)
|
||||||
zeros(Float64, sz),
|
return CuArray{SU2alg, 3}(undef, sz)
|
||||||
zeros(Float64, sz)))
|
|
||||||
elseif (T == SU3)
|
elseif (T == SU3)
|
||||||
As = StructArray{SU3}((ones(ComplexF64, sz), zeros(ComplexF64, sz), zeros(ComplexF64, sz), zeros(ComplexF64, sz), ones(ComplexF64, sz), zeros(ComplexF64, sz)))
|
# As = StructArray{SU3}(undef, sz, unwrap=un)
|
||||||
|
return CuArray{SU3, 3}(undef, sz)
|
||||||
# As = Array{SU3, lp.ndim+1}(undef, sz)
|
# As = Array{SU3, lp.ndim+1}(undef, sz)
|
||||||
# CUDA.@sync begin
|
|
||||||
# CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_SU3_zero!(As, lp)
|
|
||||||
# end
|
|
||||||
elseif (T == SU3alg)
|
elseif (T == SU3alg)
|
||||||
As = StructArray{SU3alg}((zeros(Float64, sz),
|
# As = StructArray{SU3alg}(undef, sz, unwrap=un)
|
||||||
zeros(Float64, sz),
|
return CuArray{SU3alg, 3}(undef, sz)
|
||||||
zeros(Float64, sz),
|
|
||||||
zeros(Float64, sz),
|
|
||||||
zeros(Float64, sz),
|
|
||||||
zeros(Float64, sz),
|
|
||||||
zeros(Float64, sz),
|
|
||||||
zeros(Float64, sz)))
|
|
||||||
|
|
||||||
# As = Array{SU3alg, lp.ndim+1}(undef, sz)
|
# As = Array{SU3alg, lp.ndim+1}(undef, sz)
|
||||||
# CUDA.@sync begin
|
|
||||||
# CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_SU3alg_zero!(As, lp)
|
|
||||||
# end
|
|
||||||
end
|
end
|
||||||
|
|
||||||
return replace_storage(CuArray, As)
|
return replace_storage(CuArray, As)
|
||||||
|
|
||||||
end
|
end
|
||||||
|
|
||||||
function randomn!(X)
|
function krnl_SU3_one!(G, lp::SpaceParm)
|
||||||
|
|
||||||
if (eltype(X) == SU2alg)
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t1)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t2)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t3)
|
|
||||||
elseif (eltype(X) == SU3alg)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t1)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t2)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t3)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t4)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t5)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t6)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t7)
|
|
||||||
randn!(CURAND.default_rng(), LazyRows(X).t8)
|
|
||||||
end
|
|
||||||
return nothing
|
|
||||||
end
|
|
||||||
|
|
||||||
function zero!(X)
|
|
||||||
|
|
||||||
if (eltype(X) == SU2alg)
|
|
||||||
fill!(LazyRows(X).t1, 0.0)
|
|
||||||
fill!(LazyRows(X).t2, 0.0)
|
|
||||||
fill!(LazyRows(X).t3, 0.0)
|
|
||||||
end
|
|
||||||
|
|
||||||
if (eltype(X) == SU3alg)
|
|
||||||
fill!(LazyRows(X).t1, 0.0)
|
|
||||||
fill!(LazyRows(X).t2, 0.0)
|
|
||||||
fill!(LazyRows(X).t3, 0.0)
|
|
||||||
fill!(LazyRows(X).t4, 0.0)
|
|
||||||
fill!(LazyRows(X).t5, 0.0)
|
|
||||||
fill!(LazyRows(X).t6, 0.0)
|
|
||||||
fill!(LazyRows(X).t7, 0.0)
|
|
||||||
fill!(LazyRows(X).t8, 0.0)
|
|
||||||
# CUDA.@sync begin
|
|
||||||
# CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_SU3alg_zero!(X, lp)
|
|
||||||
# end
|
|
||||||
end
|
|
||||||
|
|
||||||
if (eltype(X) == SU2)
|
|
||||||
fill!(LazyRows(X).t1, complex(1.0))
|
|
||||||
fill!(LazyRows(X).t2, complex(0.0))
|
|
||||||
end
|
|
||||||
|
|
||||||
if (eltype(X) == SU3)
|
|
||||||
fill!(LazyRows(X).u11, complex(1.0))
|
|
||||||
fill!(LazyRows(X).u12, complex(0.0))
|
|
||||||
fill!(LazyRows(X).u13, complex(0.0))
|
|
||||||
fill!(LazyRows(X).u21, complex(0.0))
|
|
||||||
fill!(LazyRows(X).u22, complex(1.0))
|
|
||||||
fill!(LazyRows(X).u23, complex(0.0))
|
|
||||||
# CUDA.@sync begin
|
|
||||||
# CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_SU3_zero!(X, lp)
|
|
||||||
# end
|
|
||||||
end
|
|
||||||
|
|
||||||
return nothing
|
|
||||||
end
|
|
||||||
|
|
||||||
function norm2(X)
|
|
||||||
|
|
||||||
d = 0.0
|
|
||||||
if (eltype(X) == SU2alg)
|
|
||||||
d = CUDA.mapreduce(x->x^2, +, LazyRows(X).t1) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t2) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t3)
|
|
||||||
elseif (eltype(X) == SU3alg)
|
|
||||||
d = CUDA.mapreduce(x->x^2, +, LazyRows(X).t1) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t2) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t3) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t4) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t5) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t6) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t7) +
|
|
||||||
CUDA.mapreduce(x->x^2, +, LazyRows(X).t8)
|
|
||||||
# d = CUDA.mapreduce(norm2, +, X)
|
|
||||||
end
|
|
||||||
|
|
||||||
return d
|
|
||||||
end
|
|
||||||
|
|
||||||
function krnl_SU3_zero!(G, lp::SpaceParm)
|
|
||||||
|
|
||||||
X = map2latt((CUDA.threadIdx().x,CUDA.threadIdx().y,CUDA.threadIdx().z),
|
|
||||||
(CUDA.blockIdx().x,CUDA.blockIdx().y,CUDA.blockIdx().z))
|
|
||||||
|
|
||||||
for id in 1:lp.ndim
|
for id in 1:lp.ndim
|
||||||
G[X,id].u11 = complex(1.0)
|
G[b,id,r] = SU3(1.0,0.0,0.0,0.0,1.0,0.0)
|
||||||
G[X,id].u12 = complex(0.0)
|
end
|
||||||
G[X,id].u13 = complex(0.0)
|
return nothing
|
||||||
G[X,id].u21 = complex(0.0)
|
end
|
||||||
G[X,id].u22 = complex(1.0)
|
|
||||||
G[X,id].u23 = complex(0.0)
|
function krnl_SU2_one!(G, lp::SpaceParm)
|
||||||
|
|
||||||
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
|
|
||||||
|
for id in 1:lp.ndim
|
||||||
|
G[b,id,r] = SU2(1.0,0.0)
|
||||||
end
|
end
|
||||||
return nothing
|
return nothing
|
||||||
end
|
end
|
||||||
|
|
||||||
function krnl_SU3alg_zero!(G, lp::SpaceParm)
|
function krnl_SU3alg_zero!(G, lp::SpaceParm)
|
||||||
|
|
||||||
X = map2latt((CUDA.threadIdx().x,CUDA.threadIdx().y,CUDA.threadIdx().z),
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
(CUDA.blockIdx().x,CUDA.blockIdx().y,CUDA.blockIdx().z))
|
|
||||||
|
|
||||||
for id in 1:lp.ndim
|
for id in 1:lp.ndim
|
||||||
G[X,id].t1 = 0.0
|
G[b,id,r] = SU3alg(0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0)
|
||||||
G[X,id].t2 = 0.0
|
|
||||||
G[X,id].t3 = 0.0
|
|
||||||
G[X,id].t4 = 0.0
|
|
||||||
G[X,id].t5 = 0.0
|
|
||||||
G[X,id].t6 = 0.0
|
|
||||||
G[X,id].t7 = 0.0
|
|
||||||
G[X,id].t8 = 0.0
|
|
||||||
end
|
end
|
||||||
return nothing
|
return nothing
|
||||||
end
|
end
|
||||||
|
|
||||||
|
function krnl_SU2alg_zero!(G, lp::SpaceParm)
|
||||||
|
|
||||||
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
|
|
||||||
|
for id in 1:lp.ndim
|
||||||
|
G[b,id,r] = SU2alg(0.0,0.0,0.0)
|
||||||
|
end
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function krnl_SU3alg_assign!(G, M, lp::SpaceParm)
|
||||||
|
|
||||||
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
|
|
||||||
|
for id in 1:lp.ndim
|
||||||
|
G[b,id,r] = SU3alg(M[b,id,r,1], M[b,id,r,2], M[b,id,r,3], M[b,id,r,4],
|
||||||
|
M[b,id,r,5], M[b,id,r,6], M[b,id,r,7], M[b,id,r,8])
|
||||||
|
end
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function krnl_SU2alg_assign!(G, M, lp::SpaceParm)
|
||||||
|
|
||||||
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
|
|
||||||
|
for id in 1:lp.ndim
|
||||||
|
G[b,id,r] = SU2alg(M[b,id,r,1], M[b,id,r,2], M[b,id,r,3])
|
||||||
|
end
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function randomn!(X, lp)
|
||||||
|
|
||||||
|
if (eltype(X) == SU2alg)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t1)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t2)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t3)
|
||||||
|
M = CuArray{Float64}(undef, lp.bsz, lp.ndim, lp.rsz, 3)
|
||||||
|
randn!(CURAND.default_rng(), M)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_SU2alg_assign!(X, M, lp)
|
||||||
|
end
|
||||||
|
elseif (eltype(X) == SU3alg)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t1)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t2)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t3)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t4)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t5)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t6)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t7)
|
||||||
|
# randn!(CURAND.default_rng(), LazyRows(X).t8)
|
||||||
|
M = CuArray{Float64}(undef, lp.bsz, lp.ndim, lp.rsz, 8)
|
||||||
|
randn!(CURAND.default_rng(), M)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_SU3alg_assign!(X, M, lp)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function zero!(X, lp)
|
||||||
|
|
||||||
|
if (eltype(X) == SU2alg)
|
||||||
|
# fill!(LazyRows(X).t1, 0.0)
|
||||||
|
# fill!(LazyRows(X).t2, 0.0)
|
||||||
|
# fill!(LazyRows(X).t3, 0.0)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_SU2alg_zero!(X, lp)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
if (eltype(X) == SU3alg)
|
||||||
|
# fill!(LazyRows(X).t1, 0.0)
|
||||||
|
# fill!(LazyRows(X).t2, 0.0)
|
||||||
|
# fill!(LazyRows(X).t3, 0.0)
|
||||||
|
# fill!(LazyRows(X).t4, 0.0)
|
||||||
|
# fill!(LazyRows(X).t5, 0.0)
|
||||||
|
# fill!(LazyRows(X).t6, 0.0)
|
||||||
|
# fill!(LazyRows(X).t7, 0.0)
|
||||||
|
# fill!(LazyRows(X).t8, 0.0)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_SU3alg_zero!(X, lp)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
if (eltype(X) == SU2)
|
||||||
|
# fill!(LazyRows(X).t1.re, 1.0)
|
||||||
|
# fill!(LazyRows(X).t1.im, 0.0)
|
||||||
|
# fill!(LazyRows(X).t2.re, 0.0)
|
||||||
|
# fill!(LazyRows(X).t2.im, 0.0)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_SU2_one!(X, lp)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
if (eltype(X) == SU3)
|
||||||
|
# fill!(LazyRows(X).u11.re, 1.0)
|
||||||
|
# fill!(LazyRows(X).u11.im, 0.0)
|
||||||
|
# fill!(LazyRows(X).u12.re, 0.0)
|
||||||
|
# fill!(LazyRows(X).u12.im, 0.0)
|
||||||
|
# fill!(LazyRows(X).u13.re, 0.0)
|
||||||
|
# fill!(LazyRows(X).u13.im, 0.0)
|
||||||
|
# fill!(LazyRows(X).u21.re, 0.0)
|
||||||
|
# fill!(LazyRows(X).u21.im, 0.0)
|
||||||
|
# fill!(LazyRows(X).u22.re, 1.0)
|
||||||
|
# fill!(LazyRows(X).u22.im, 0.0)
|
||||||
|
# fill!(LazyRows(X).u23.re, 0.0)
|
||||||
|
# fill!(LazyRows(X).u23.im, 0.0)
|
||||||
|
CUDA.@sync begin
|
||||||
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_SU3_one!(X, lp)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
return nothing
|
||||||
|
end
|
||||||
|
|
||||||
|
function norm_field(X)
|
||||||
|
|
||||||
|
return CUDA.mapreduce(norm2, +, X)
|
||||||
|
# d = 0.0
|
||||||
|
if (eltype(X) == SU2alg)
|
||||||
|
# d = CUDA.mapreduce(x->x^2, +, LazyRows(X).t1) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t2) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t3)
|
||||||
|
elseif (eltype(X) == SU3alg)
|
||||||
|
# d = CUDA.mapreduce(x->x^2, +, LazyRows(X).t1) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t2) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t3) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t4) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t5) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t6) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t7) +
|
||||||
|
# CUDA.mapreduce(x->x^2, +, LazyRows(X).t8)
|
||||||
|
d = CUDA.mapreduce(norm2, +, X)
|
||||||
|
end
|
||||||
|
|
||||||
|
return d
|
||||||
|
end
|
||||||
|
|
||||||
|
|
||||||
|
|
122
src/YM/YMhmc.jl
122
src/YM/YMhmc.jl
|
@ -9,10 +9,10 @@
|
||||||
### created: Thu Jul 15 11:27:28 2021
|
### created: Thu Jul 15 11:27:28 2021
|
||||||
###
|
###
|
||||||
|
|
||||||
function gauge_action(U, lp::SpaceParm, gp::GaugeParm, kp::KernelParm, ymws::YMworkspace)
|
function gauge_action(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||||
|
|
||||||
CUDA.@sync begin
|
CUDA.@sync begin
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_plaq!(ymws.cm, U, lp)
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_plaq!(ymws.cm, U, lp)
|
||||||
end
|
end
|
||||||
S = gp.beta*( prod(lp.iL)*lp.npls -
|
S = gp.beta*( prod(lp.iL)*lp.npls -
|
||||||
CUDA.mapreduce(real, +, ymws.cm)/gp.ng )
|
CUDA.mapreduce(real, +, ymws.cm)/gp.ng )
|
||||||
|
@ -20,32 +20,34 @@ function gauge_action(U, lp::SpaceParm, gp::GaugeParm, kp::KernelParm, ymws::YMw
|
||||||
return S
|
return S
|
||||||
end
|
end
|
||||||
|
|
||||||
function plaquette(U, lp::SpaceParm, gp::GaugeParm, kp::KernelParm, ymws::YMworkspace)
|
function plaquette(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||||
|
|
||||||
|
println("Entro!")
|
||||||
CUDA.@sync begin
|
CUDA.@sync begin
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_plaq!(ymws.cm, U, lp)
|
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_plaq!(ymws.cm, U, lp)
|
||||||
end
|
end
|
||||||
|
println("Salgo!")
|
||||||
|
|
||||||
return CUDA.mapreduce(real, +, real.(ymws.cm))/(prod(lp.iL)*lp.npls)
|
return CUDA.mapreduce(real, +, ymws.cm)/(prod(lp.iL)*lp.npls)
|
||||||
end
|
end
|
||||||
|
|
||||||
function hamiltonian(mom, U, lp, gp, kp, ymws)
|
function hamiltonian(mom, U, lp, gp, ymws)
|
||||||
K = norm2(mom)/2.0
|
K = norm_field(mom)/2.0
|
||||||
V = gauge_action(U, lp, gp, kp, ymws)
|
V = gauge_action(U, lp, gp, ymws)
|
||||||
println("K: ", K, " V: ", V)
|
println("K: ", K, " V: ", V)
|
||||||
return K+V
|
return K+V
|
||||||
end
|
end
|
||||||
|
|
||||||
function HMC!(U, eps, ns, lp::SpaceParm, gp::GaugeParm, kp::KernelParm, ymws::YMworkspace; noacc=false)
|
function HMC!(U, eps, ns, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace; noacc=false)
|
||||||
|
|
||||||
ymws.U1 .= U
|
ymws.U1 .= U
|
||||||
|
|
||||||
randomn!(ymws.mom)
|
randomn!(ymws.mom, lp)
|
||||||
hini = hamiltonian(ymws.mom, U, lp, gp, kp, ymws)
|
hini = hamiltonian(ymws.mom, U, lp, gp, ymws)
|
||||||
|
|
||||||
OMF4!(ymws.mom, U, eps, ns, lp, gp, kp, ymws)
|
OMF4!(ymws.mom, U, eps, ns, lp, gp, ymws)
|
||||||
|
|
||||||
dh = hamiltonian(ymws.mom, U, lp, gp, kp, ymws) - hini
|
dh = hamiltonian(ymws.mom, U, lp, gp, ymws) - hini
|
||||||
pacc = exp(-dh)
|
pacc = exp(-dh)
|
||||||
|
|
||||||
acc = true
|
acc = true
|
||||||
|
@ -66,18 +68,17 @@ end
|
||||||
|
|
||||||
function krnl_updt!(mom, frc1, frc2, eps1, U, eps2, lp::SpaceParm)
|
function krnl_updt!(mom, frc1, frc2, eps1, U, eps2, lp::SpaceParm)
|
||||||
|
|
||||||
X = map2latt((CUDA.threadIdx().x,CUDA.threadIdx().y,CUDA.threadIdx().z),
|
b, r = CUDA.threadIdx().x, CUDA.blockIdx().x
|
||||||
(CUDA.blockIdx().x,CUDA.blockIdx().y,CUDA.blockIdx().z))
|
|
||||||
|
|
||||||
@inbounds for id in 1:lp.ndim
|
@inbounds for id in 1:lp.ndim
|
||||||
mom[X,id] = mom[X,id] + eps1 * (frc1[X,id]+frc2[X,id])
|
mom[b,id,r] = mom[b,id,r] + eps1 * (frc1[b,id,r]+frc2[b,id,r])
|
||||||
U[X,id] = expm(U[X,id],mom[X,id], eps2)
|
U[b,id,r] = expm(U[b,id,r], mom[b,id,r], eps2)
|
||||||
end
|
end
|
||||||
|
|
||||||
return nothing
|
return nothing
|
||||||
end
|
end
|
||||||
|
|
||||||
function OMF4!(mom, U, eps, ns, lp::SpaceParm, gp::GaugeParm, kp::KernelParm, ymws::YMworkspace)
|
function OMF4!(mom, U, eps, ns, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||||
|
|
||||||
r1::Float64 = 0.08398315262876693
|
r1::Float64 = 0.08398315262876693
|
||||||
r2::Float64 = 0.2539785108410595
|
r2::Float64 = 0.2539785108410595
|
||||||
|
@ -86,43 +87,78 @@ function OMF4!(mom, U, eps, ns, lp::SpaceParm, gp::GaugeParm, kp::KernelParm, ym
|
||||||
r5::Float64 = 0.5-r1-r3
|
r5::Float64 = 0.5-r1-r3
|
||||||
r6::Float64 = 1.0-2.0*(r2+r4)
|
r6::Float64 = 1.0-2.0*(r2+r4)
|
||||||
|
|
||||||
|
# ee = eps*gp.beta/gp.ng
|
||||||
|
# @device_code_warntype force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp)
|
||||||
|
# force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
|
||||||
|
# zero!(ymws.frc2, lp)
|
||||||
|
# for i in 1:ns
|
||||||
|
# # STEP 1
|
||||||
|
# CUDA.@sync begin
|
||||||
|
# CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r1*ee, U, eps*r2, lp)
|
||||||
|
# end
|
||||||
|
#
|
||||||
|
# # STEP 2
|
||||||
|
# force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
|
||||||
|
# CUDA.@sync begin
|
||||||
|
# CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r3*ee, U, eps*r4, lp)
|
||||||
|
# end
|
||||||
|
#
|
||||||
|
# # STEP 3
|
||||||
|
# force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
|
||||||
|
# CUDA.@sync begin
|
||||||
|
# CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r5*ee, U, eps*r6, lp)
|
||||||
|
# end
|
||||||
|
#
|
||||||
|
# # STEP 4
|
||||||
|
# force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
|
||||||
|
# CUDA.@sync begin
|
||||||
|
# CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r5*ee, U, eps*r4, lp)
|
||||||
|
# end
|
||||||
|
#
|
||||||
|
# # STEP 5
|
||||||
|
# force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
|
||||||
|
# CUDA.@sync begin
|
||||||
|
# CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r3*ee, U, eps*r2, lp)
|
||||||
|
# end
|
||||||
|
#
|
||||||
|
# # STEP 6
|
||||||
|
# force0_wilson_pln!(ymws.frc1, ymws.frc2, U, lp)
|
||||||
|
# CUDA.@sync begin
|
||||||
|
# CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r1*ee, U, 0.0, lp)
|
||||||
|
# end
|
||||||
|
# end
|
||||||
|
|
||||||
ee = eps*gp.beta/gp.ng
|
ee = eps*gp.beta/gp.ng
|
||||||
force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp, kp)
|
force0_wilson!(ymws.frc1, U, lp)
|
||||||
|
zero!(ymws.frc2, lp)
|
||||||
for i in 1:ns
|
for i in 1:ns
|
||||||
# STEP 1
|
# STEP 1
|
||||||
CUDA.@sync begin
|
mom .= mom .+ (r1*ee) .* (ymws.frc1 .+ ymws.frc2)
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r1*ee, U, eps*r2, lp)
|
U .= expm.(U, mom, eps*r2)
|
||||||
end
|
|
||||||
|
|
||||||
# STEP 2
|
# STEP 2
|
||||||
force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp, kp)
|
force0_wilson!(ymws.frc1, U, lp)
|
||||||
CUDA.@sync begin
|
mom .= mom .+ (r3*ee) .* (ymws.frc1 .+ ymws.frc2)
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r3*ee, U, eps*r4, lp)
|
U .= expm.(U, mom, eps*r4)
|
||||||
end
|
|
||||||
|
|
||||||
# STEP 3
|
# STEP 3
|
||||||
force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp, kp)
|
force0_wilson!(ymws.frc1, U, lp)
|
||||||
CUDA.@sync begin
|
mom .= mom .+ (r5*ee) .* (ymws.frc1 .+ ymws.frc2)
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r5*ee, U, eps*r6, lp)
|
U .= expm.(U, mom, eps*r6)
|
||||||
end
|
|
||||||
|
|
||||||
# STEP 4
|
# STEP 4
|
||||||
force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp, kp)
|
force0_wilson!(ymws.frc1, U, lp)
|
||||||
CUDA.@sync begin
|
mom .= mom .+ (r5*ee) .* (ymws.frc1 .+ ymws.frc2)
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r5*ee, U, eps*r4, lp)
|
U .= expm.(U, mom, eps*r4)
|
||||||
end
|
|
||||||
|
|
||||||
# STEP 5
|
# STEP 5
|
||||||
force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp, kp)
|
force0_wilson!(ymws.frc1, U, lp)
|
||||||
CUDA.@sync begin
|
mom .= mom .+ (r3*ee) .* (ymws.frc1 .+ ymws.frc2)
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r3*ee, U, eps*r2, lp)
|
U .= expm.(U, mom, eps*r2)
|
||||||
end
|
|
||||||
|
|
||||||
# STEP 6
|
# STEP 6
|
||||||
force0_wilson!(ymws.frc1,ymws.frc2, U, lp, gp, kp)
|
force0_wilson!(ymws.frc1, U, lp)
|
||||||
CUDA.@sync begin
|
mom .= mom .+ (r1*ee) .* (ymws.frc1 .+ ymws.frc2)
|
||||||
CUDA.@cuda threads=kp.threads blocks=kp.blocks krnl_updt!(ymws.mom, ymws.frc1,ymws.frc2, r1*ee, U, 0.0, lp)
|
|
||||||
end
|
|
||||||
end
|
end
|
||||||
|
|
||||||
return nothing
|
return nothing
|
||||||
|
|
Loading…
Add table
Add a link
Reference in a new issue