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Correction in fA/fP test

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Fernando Pérez Panadero 2024-02-14 12:03:07 +01:00
parent b129e77878
commit 506e8b53cb
1 changed files with 83 additions and 127 deletions
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64
test/dirac/test_fp_fa.jl
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@ -2,17 +2,15 @@ using LatticeGPU
using CUDA using CUDA
using TimerOutputs using TimerOutputs
@timeit "fA_fP test" begin @timeit "fA_fP test" begin
function fP_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16) function fP_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16)
@timeit "fP inversion (x12)" begin @timeit "fP inversion (x12)" begin
lp = SpaceParm{4}(size,(4,4,4,4),1,(0,0,0,0,0,0)); lp = SpaceParm{4}(size,(4,4,4,4),1,(0,0,0,0,0,0));
exptheta = exp.(im.*theta./lp.iL); exptheta = exp.(im.*theta./lp.iL);
dpar = DiracParam{Float64}(SU3fund,m,0.0,exptheta,0.0,1.0); dpar = DiracParam{Float64}(SU3fund,m,0.0,exptheta,0.0,1.0);
dws = DiracWorkspace(SU3fund,Float64,lp); dws = DiracWorkspace(SU3fund,Float64,lp);
@ -56,9 +54,9 @@ function fP_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1
end end
return sum(abs.(res-res_th)) return sum(abs.(res-res_th))
end end
function fA_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16) function fA_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16)
@timeit "fA inversion (x12)" begin @timeit "fA inversion (x12)" begin
@ -87,46 +85,6 @@ function fA_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1
end end end end
lp = SpaceParm{4}(size,(4,4,4,4),1,(0,0,0,0,0,0));
exptheta = exp.(im.*theta./lp.iL);
dpar = DiracParam{Float64}(SU3fund,m,0.0,exptheta,1.0);
dws = DiracWorkspace(SU3fund,Float64,lp);
U = fill!(vector_field(SU3{Float64},lp),one(SU3{Float64}));
psi = scalar_field(Spinor{4,SU3fund{Float64}},lp);
res = im*zeros(lp.iL[4])
for s in 1:4 for c in 1:3
bndpropagator!(psi,U,dpar,dws,lp,1000,prec,c,s);
for t in 1:lp.iL[4]
#for i in 1:lp.iL[1] for j in 1:lp.iL[2] for k in 1:lp.iL[3]
i=abs(rand(Int))%lp.iL[1] +1;j=abs(rand(Int))%lp.iL[2] +1;k=abs(rand(Int))%lp.iL[3] +1;
CUDA.@allowscalar (res[t] += -dot(psi[point_index(CartesianIndex{lp.ndim}((i,j,k,t)),lp)...],dmul(Gamma{4},psi[point_index(CartesianIndex{lp.ndim}((i,j,k,t)),lp)...]))/2)
#end end end
#res[t] = res[t]/(lp.iL[1]*lp.iL[2]*lp.iL[3])
end
end end
end
#THEORETICAL SOLUTION: hep-lat/9606016 eq (2.32)
@timeit "fA analitical solution" begin
res_th = zeros(lp.iL[4])
pp3 = ntuple(i -> theta[i]/lp.iL[i],3)
omega = 2 * asinh(0.5* sqrt(( sum((sin.(pp3)).^2) + (m + 2*(sum((sin.(pp3./2)).^2) ))^2) / (1+m+2*(sum((sin.(pp3./2)).^2) )) ) )
pp = (-im*omega,pp3...)
Mpp = m + 2* sum((sin.(pp./2)).^2)
Rpp = Mpp*(1-exp(-2*omega*lp.iL[4])) + sinh(omega) * (1+exp(-2*omega*lp.iL[4]))
for i in 2:lp.iL[4]
res_th[i] = (6/(Rpp^2)) * ( 2*(Mpp - sinh(omega))*(Mpp + sinh(omega))*exp(-2*omega*lp.iL[4])
- Mpp*((Mpp + sinh(omega))*exp(-2*omega*(i-1)) + (Mpp - sinh(omega))*exp(-2*omega*(2*lp.iL[4]- (i - 1)))))
end end
#THEORETICAL SOLUTION: hep-lat/9606016 eq (2.32) #THEORETICAL SOLUTION: hep-lat/9606016 eq (2.32)
@ -145,21 +103,19 @@ end
end end
end end
return sum(abs.(res-res_th)) return sum(abs.(res-res_th))
end
end
difA = fA_test(); difA = fA_test();
difP = fP_test(); difP = fP_test();
if difA > 1.0e-15 if difA > 1.0e-15
error("fA test failed with error ", difA) error("fA test failed with error ", difA)
elseif difP > 1.0e-15 elseif difP > 1.0e-15
error("fP test failed with error ", difP) error("fP test failed with error ", difP)
else else
print("fA & fP tests passed with errors: ", difA," and ",difP,"!\n") print("fA & fP tests passed with errors: ", difA," and ",difP,"!\n")
end end
end end