def Dyson(IsDysonOnly, IsNewCalculation, para, Map, Lat):
ParaDyson=para["Dyson"]
if not para.has_key("Version"):
para["Version"]=0
########## Calulation INITIALIZATION ##########################
Factory=model.BareFactory(Map, Lat, para["Model"], ParaDyson["Annealing"])
G0,W0=Factory.Build()
IO.SaveDict("Coordinates","w", Factory.ToDict())
Observable=measure.Observable(Map, Lat)
W=weight.Weight("SmoothT", Map, "FourSpins", "Symmetric","R","T")
SigmaDeltaT=weight.Weight("DeltaT", Map, "TwoSpins", "AntiSymmetric","R")
Sigma=weight.Weight("SmoothT", Map, "TwoSpins", "AntiSymmetric","R","T")
Polar=weight.Weight("SmoothT", Map, "FourSpins", "Symmetric","R","T")
if IsNewCalculation:
#not load WeightFile
log.info("Start from bare G, W")
G=G0.Copy()
else:
#load WeightFile, load G,W
log.info("Load G, W, Sigma, Polar from {0}".format(WeightFile))
data=IO.LoadBigDict(WeightFile)
G=weight.Weight("SmoothT", Map, "TwoSpins", "AntiSymmetric", "R", "T").FromDict(data["G"])
W.FromDict(data["W"])
SigmaDeltaT.FromDict(data["SigmaDeltaT"])
Sigma.FromDict(data["Sigma"])
Polar.FromDict(data["Polar"])
Gold, Wold = G, W
#while para["Version"]<2:
while True:
para["Version"]+=1
log.info(green("Start Version {0}...".format(para["Version"])))
try:
ratio=None #set this will not use accumulation!
#ratio = para["Version"]/(para["Version"]+10.0)
G0,W0=Factory.Build()
log.info("calculating SigmaDeltaT..")
SigmaDeltaT.Merge(ratio, calc.SigmaDeltaT_FirstOrder(G, W0, Map))
log.info("SigmaDeltaT is done")
if IsDysonOnly or IsNewCalculation:
log.info("accumulating Sigma/Polar statistics...")
Sigma.Merge(ratio, calc.SigmaSmoothT_FirstOrder(G, W, Map))
log.info("calculating G...")
G = calc.G_Dyson(G0, SigmaDeltaT, Sigma, Map)
Polar.Merge(ratio, calc.Polar_FirstOrder(G, Map))
else:
log.info("Collecting Sigma/Polar statistics...")
Statis=collect.CollectStatis(Map)
Sigma, Polar, ParaDyson["OrderAccepted"]=collect.UpdateWeight(Statis,
ParaDyson["ErrorThreshold"], ParaDyson["OrderAccepted"])
log.info("calculating G...")
G = calc.G_Dyson(G0, SigmaDeltaT, Sigma, Map)
#######DYSON FOR W AND G###########################
log.info("calculating W...")
W, ChiTensor, Determ = calc.W_Dyson(W0, Polar, Map, Lat)
except calc.DenorminatorTouchZero as err:
#failure due to denorminator touch zero
log.info(green("Version {0} fails due to:\n{1}".format(para["Version"],err)))
Factory.RevertField(ParaDyson["Annealing"])
G, W = Gold, Wold
SigmaDeltaT.RollBack()
Sigma.RollBack()
Polar.RollBack()
except collect.CollectStatisFailure as err:
#failure due to statis files collection
log.info(green("Version {0} fails due to:\n{1}".format(para["Version"],err)))
G, W = Gold, Wold
SigmaDeltaT.RollBack()
Sigma.RollBack()
Polar.RollBack()
except KeyboardInterrupt, SystemExit:
#exit
log.info("Terminating Dyson\n {1}".format(para["Version"], traceback.format_exc()))
sys.exit(0)
except:
def Dyson(IsDysonOnly, IsNewCalculation, EnforceSumRule, para, Map, Lat):
ParaDyson = para["Dyson"]
if not para.has_key("Version"):
para["Version"] = 0
########## Calulation INITIALIZATION ##########################
Factory = model.BareFactory(Map, Lat, para["Model"],
ParaDyson["Annealing"])
G0, W0 = Factory.Build()
# G0.FFT("K","W")
# print G0.Data[UP,0,UP,0,0,:]
# print "Comparison 1"
# for n in range(Map.MaxTauBin):
# wn=1j*(2*n+1)*np.pi/Map.Beta
# print 1.0/(wn-4.0), G0.Data[UP,0,UP,0,0,n]*Map.Beta/Map.MaxTauBin
# print "Comparison 2"
# G0.FFT("K","T")
# for t in range(Map.MaxTauBin):
# tau=Map.IndexToTau(t)
# G0w=-np.exp(4*tau)*(1.0-1.0/(1.0+np.exp(-Map.Beta*4)))
# print G0.Data[UP,0,UP,0,0,t], G0w
# print "Comparison 3"
# for n in range(Map.MaxTauBin):
# Gw=0.0
# wn=(2*n+1)*np.pi/Map.Beta
# for t in range(Map.MaxTauBin):
# tau=Map.IndexToTau(t)
# G0w=-np.exp(4*tau)*(1.0-1.0/(1.0+np.exp(-Map.Beta*4)))
# Gw+=G0w*np.exp(-1j*wn*tau)*Map.Beta/Map.MaxTauBin
# # Gw+=G0.Data[UP,0,UP,0,0,t]*np.exp(-1j*wn*tau)*Map.Beta/Map.MaxTauBin
# print 1.0/(1j*wn-4.0), Gw
G0.FFT("K", "T")
print G0.Data[UP, 0, UP, 0, 0, :]
plot.PlotTimeForList("G0UPUP_r", G0, UP, 0, UP, 0, range(Map.L[0]))
plot.PlotBand(G0, Lat)
IO.SaveDict("Coordinates", "w", Factory.ToDict())
Observable = measure.Observable(Map, Lat)
W = weight.Weight("SmoothT", Map, "FourSpins", "Symmetric", "R", "T")
SigmaDeltaT = weight.Weight("DeltaT", Map, "TwoSpins", "AntiSymmetric",
"R")
Sigma = weight.Weight("SmoothT", Map, "TwoSpins", "AntiSymmetric", "R",
"T")
Polar = weight.Weight("SmoothT", Map, "FourSpins", "Symmetric", "R", "T")
if IsNewCalculation:
#not load WeightFile
log.info("Start from bare G, W")
G = G0.Copy()
if para["Gamma3"]:
GGGammaG = gamma3.SimpleGG(G, Map)
else:
#load WeightFile, load G,W
log.info("Load G, W from {0}".format(WeightFile))
data = IO.LoadBigDict(WeightFile)
G = weight.Weight("SmoothT", Map, "TwoSpins", "AntiSymmetric", "R",
"T").FromDict(data["G"])
W.FromDict(data["W"])
SigmaDeltaT.FromDict(data["SigmaDeltaT"])
Sigma.FromDict(data["Sigma"])
Polar.FromDict(data["Polar"])
if para["Gamma3"]:
if data.has_key("GGGammaG"):
GGGammaG = data["GGGammaG"]["SmoothT"]
print "Read existing GGGammaG"
else:
GGGammaG = gamma3.SimpleGG(G, Map)
Gold, Wold = G, W
#while para["Version"]==0:
while True:
para["Version"] += 1
log.info(green("Start Version {0}...".format(para["Version"])))
try:
# ratio=None #set this will not use accumulation!
ratio = para["Version"] / (para["Version"] + 10.0)
G0, W0 = Factory.Build()
# print W0.Data[:,0,:,0,1]
log.info("calculating SigmaDeltaT..")
SigmaDeltaT.Merge(ratio, calc.SigmaDeltaT_FirstOrder(G, W0, Map))
log.info("SigmaDeltaT is done")
# print "Polar[UP,UP]=\n", Polar.Data[spinUP,0,spinUP,0,0,:]
# print "GammaG[UP,UP]=\n", GammaG[UP,0,:,-1]
if IsDysonOnly or IsNewCalculation:
log.info("accumulating Sigma/Polar statistics...")
G = calc.G_Dyson(G0, SigmaDeltaT, Sigma, Map)
Sigma.Merge(ratio, calc.SigmaSmoothT_FirstOrder(G, W, Map))
log.info("calculating G...")
G = calc.G_Dyson(G0, SigmaDeltaT, Sigma, Map)
Polar.Merge(ratio, calc.Polar_FirstOrder(G, Map))
if para["Gamma3"]:
# irreducible GGGammaG = simpleGG + GGGammaG_2 + GGGammaG_3
# the second term GammaG: the term from dSigma/dG
# GGGammaG_2 = G*(W*GGGammaG)*G
print "Attach W to GGGammaG"
GammaG = gamma3.AddW_To_GGGammaG(GGGammaG, W, G.Map)
print "Calculate GammaG contribution to GGGammaG"
GGGammaG_2 = gamma3.AddTwoG_To_GammaG(GammaG, G, G.Map)
if Map.MaxTauBin == Map.MaxTauBinTiny:
# the third term: the term from dSigma/dW
# GGGammaG_3 = G*((W*(G*GGGammaG)*W)*G)*G
print "Calculate GammaW"
GammaW = gamma3.AddG_To_GGGammaG(GGGammaG, G, G.Map)
print "Calculate WWGammaW"
WWGammaW = gamma3.AddTwoW_To_GammaW(
GammaW, W0, W, G.Map)
print "Calculate GammaG from WWGammaW"
GammaG_FromWWGammaW = gamma3.AddG_To_WWGammaW(
WWGammaW, G, G.Map)
print "Calculate WWGammaW contribution to GGGammaG"
GGGammaG_3 = gamma3.AddTwoG_To_GammaG(
GammaG_FromWWGammaW, G, G.Map)
else:
WWGammaW = None
GGGammaG_3 = 0.0
SimpleGGGammaG = gamma3.SimpleGG(G, Map)
GGGammaG = SimpleGGGammaG
GGGammaG += +GGGammaG_2 - GGGammaG_3
else:
log.info("Collecting Sigma/Polar statistics...")
SigmaStatis, PolarStatis, GammaG_MC, GammaW_MC = collect.CollectStatis(
Map, para["Gamma3"])
Sigma, Polar_MC, ParaDyson[
"OrderAccepted"] = collect.UpdateWeight(
[SigmaStatis, PolarStatis],
ParaDyson["ErrorThreshold"],
ParaDyson["OrderAccepted"])
#print Sigma.Data[0,0,0,0,0,0], Sigma.Data[0,0,0,0,0,-1]
log.info("calculating G...")
G = calc.G_Dyson(G0, SigmaDeltaT, Sigma, Map)
SigmaDyson = calc.SigmaSmoothT_FirstOrder(G, W, Map)
print "SigmaFromDyson=\n", SigmaDyson.Data[UP, 0, UP, 0, 0, :]
Polar.Merge(ratio, Polar_MC)
if para["Gamma3"]:
print "Calculate WWGammaW contribution to GGGammaG"
WWGammaW = gamma3.AddTwoW_To_GammaW(
GammaW_MC, W0, W, G.Map)
print "Calculate GGGammaW contribution to GGGammaG"
GGGammaG_MC = gamma3.AddTwoG_To_GammaG(GammaG_MC, G, G.Map)
print "Add Simple GG contribution to GGGammaG"
GGGammaG = gamma3.SimpleGG(G, Map) + GGGammaG_MC
# print "GammaG, mc=\n", 0.5*(np.sum(GGGammaG_MC[DOWN, :, :, :]-GGGammaG_MC[UP, :, :, :], axis=0)).diagonal()
#######DYSON FOR W AND G###########################
log.info("calculating W...")
Wtmp, ChiTensor, Determ = calc.W_Dyson(W0, Polar, Map, Lat)
if EnforceSumRule:
ChiTensor = calc.Add_ChiTensor_ZerothOrder(ChiTensor, G, Map)
Chi = calc.Calculate_Chi(ChiTensor, Map)
Chi.FFT("R", "T")
while abs(Chi.Data[0, 0, 0, 0, 0, 0] - 0.75) > 1.e-3:
SumRuleRatio = np.sqrt(0.75 / Chi.Data[0, 0, 0, 0, 0, 0])
PolarSumRule = Polar
PolarSumRule.Data = PolarSumRule.Data * SumRuleRatio
Wtmp, ChiTensor, Determ = calc.W_Dyson(W0, Polar, Map, Lat)
ChiTensor = calc.Add_ChiTensor_ZerothOrder(
ChiTensor, G, Map)
Chi = calc.Calculate_Chi(ChiTensor, Map)
Chi.FFT("R", "T")
print "Chi(r=0,t=0)", Chi.Data[0, 0, 0, 0, 0, 0]
W = Wtmp
except calc.DenorminatorTouchZero as err:
#failure due to denorminator touch zero
log.info(
green("Version {0} fails due to:\n{1}".format(
para["Version"], err)))
Factory.RevertField(ParaDyson["Annealing"])
G, W = Gold, Wold
SigmaDeltaT.RollBack()
Sigma.RollBack()
Polar.RollBack()
except collect.CollectStatisFailure as err:
#failure due to statis files collection
log.info(
green("Version {0} fails due to:\n{1}".format(
para["Version"], err)))
G, W = Gold, Wold
SigmaDeltaT.RollBack()
Sigma.RollBack()
Polar.RollBack()
except KeyboardInterrupt, SystemExit:
#exit
log.info("Terminating Dyson\n {1}".format(para["Version"],
traceback.format_exc()))
sys.exit(0)
except: