mc_weight_type Try() {
#ifdef DEBUG
std::cout << "I AM IN Try for Insert_Cdag_C_Delta" << std::endl;
std::cout << "CONFIG BEFORE: " << Config.DT << std::endl;
// for (int a = 0; a<Config.Na; ++a) print_det(Config.dets[a]);
#endif
// Pick up the value of alpha and choose the operators
const Hloc::Operator
& Op1(*Config.CdagOps[a_level][Random(Nalpha)]),
& Op2(*Config.COps[a_level][Random(Nalpha)]);
// Choice of times.
double tau1 = Random(Config.Beta), tau2 = Random(Config.Beta);
// record the length of the kinks
if (Config.RecordStatisticConfigurations) {
deltaTau = Config.CyclicOrientedTimeDistance(tau2 - tau1);
HISTO_Length_Kinks_Proposed<< deltaTau;
}
// Insert the operators Op1 and Op2
Configuration::OP_REF O1, O2;
tie (no_trivial_reject,O1,O2) = Config.DT.insertTwoOperators(tau1,Op1,tau2,Op2);
if (!no_trivial_reject) return 0;
// pick up the determinant
// NB ; the det has to be recomputed each time, since global moves will change it
det = Config.dets[a_level];
int numCdag=1;
// Find the position for insertion in the determinant
// NB : the determinant store the C in decreasing order.
for (Configuration::DET_TYPE::Cdagger_iterator p= det->Cdagger_begin();
(p != det->Cdagger_end()) && (p->tau > tau1) ; ++p, ++numCdag) {}
int numC=1;
for (Configuration::DET_TYPE::C_iterator p= det->C_begin();
(p != det->C_end()) && (p->tau > tau2) ; ++p, ++numC) {}
// acceptance probability
mc_weight_type p = Config.DT.ratioNewTrace_OldTrace() * det->try_insert(numCdag,numC,O1,O2);
double Tratio =power(2*Nalpha* Config.Beta / double(2*(det->NumberOfC()+1)), 2);
#ifdef DEBUG
std::cout << "Trace Ratio: " << Config.DT.ratioNewTrace_OldTrace() << std::endl;
std::cout << "p*T: " << p*Tratio << std::endl;
std::cout << "CONFIG AFTER: " << Config.DT << std::endl;
//for (int a = 0; a<Config.Na; ++a) print_det(Config.dets[a]);
#endif
return p*Tratio;
}
mc_weight_type attempt() {
#ifdef DEBUG
std::cout << "I AM IN attempt for Move" << std::endl;
std::cout << "CONFIG BEFORE: " << Config.DT << std::endl;
for (int a = 0; a < Config.Na; ++a) print_det(Config.dets[a]);
#endif
// find an operator (anyone) to be moved.
// to do this, I go over the DT trace
const int L(Config.DT.Length());
if (L==0) return 0;
const int N(Random(L));
// I go over the trace to find the op oldOpref
// and then I get its info
Configuration::OP_REF oldOpref = Config.DT.OpRef_begin();
for (int i=0; i<N; ++i, ++oldOpref) {}
int a = Config.info[oldOpref->Op->Number].a;
int Nalpha = Config.COps[a].size();
bool isdagger = Config.info[oldOpref->Op->Number].dagger;
double oldtau = oldOpref->tau;
// chose the new alpha (this is done here for compatibility)
int newalpha = Random(Nalpha);
int num;
double tR, tL;
det = Config.dets[a];
Configuration::DET_TYPE::Cdagger_iterator itCdag = det->Cdagger_begin();
Configuration::DET_TYPE::C_iterator itC = det->C_begin();
if (det->size() > 1) {
// find the C and Cdag operators at the right of oldOpref (at smaller times)
// it might be Cdagger_end() or C_end()
// also get the number num of oldOpref in the det
num = 0;
while ( (itCdag != det->Cdagger_end()) && (itCdag->tau >= oldtau) ) {++itCdag; if(isdagger) ++num;}
while ( (itC != det->C_end()) && (itC->tau >= oldtau) ) {++itC; if(!isdagger) ++num;}
// find the times of the operator at the right of oldOpref with cyclicity
// then deduce the closest one and put its distance to oldOpref in tR
double tRdag = (itCdag != det->Cdagger_end() ? (*itCdag)->tau : det->Cdagger_begin()->tau);
double tRnodag = (itC != det->C_end() ? (*itC)->tau : det->C_begin()->tau);
tR = std::min(Config.CyclicOrientedTimeDistance(oldtau - tRdag), Config.CyclicOrientedTimeDistance(oldtau - tRnodag));
// move itCdag and itC to the operators on the left with cyclicity
// find their times and deduce the closest one with distance tL
if (isdagger) --itCdag; else --itC;
if (itCdag != det->Cdagger_begin()) --itCdag; else itCdag = --det->Cdagger_end();
if (itC != det->C_begin()) --itC; else itC = --det->C_end();
tL = std::min(Config.CyclicOrientedTimeDistance((*itCdag)->tau - oldtau), Config.CyclicOrientedTimeDistance((*itC)->tau - oldtau));
} else {
num = 1;
tR = (isdagger ? Config.CyclicOrientedTimeDistance(oldtau - (*itC)->tau) : Config.CyclicOrientedTimeDistance(oldtau - (*itCdag)->tau));
tL = (isdagger ? Config.CyclicOrientedTimeDistance((*itC)->tau - oldtau) : Config.CyclicOrientedTimeDistance((*itCdag)->tau - oldtau));
}
// the new operator newOp with a new chosen alpha
double newtau = Config.CyclicOrientedTimeDistance(oldtau - tR + Random(tL + tR - 2*ctqmc_utils::EPSILON) + ctqmc_utils::EPSILON);
const Hloc::Operator * newOp;
newOp = (isdagger ? Config.CdagOps[a][newalpha] : Config.COps[a][newalpha]);
// remove oldOpref and insert newOp in the Trace
bool ok;
Configuration::OP_REF Op;
std::tie(ok,Op) = Config.DT.insert_and_remove_One_Operator(oldOpref, newtau, *newOp);
if (!ok) return 0;
// in the following we want to see if we need to roll the det
roll_matrix = Configuration::DET_TYPE::None;
// check if we went through \tau = 0 or \tau = \beta
if (newtau - oldtau > tL) roll_matrix = (isdagger ? Configuration::DET_TYPE::Down : Configuration::DET_TYPE::Right);
if (oldtau - newtau > tR) roll_matrix = (isdagger ? Configuration::DET_TYPE::Up : Configuration::DET_TYPE::Left);
// acceptance probability
mc_weight_type p = Config.DT.ratioNewTrace_OldTrace() * (isdagger ? det->try_change_row(num-1,Op) : det->try_change_col(num-1,Op));
#ifdef DEBUG
std::cout << "oldtau, tR, tL, newtau: " << oldtau << " " << tR << " " << tL << " " << newtau << endl;
std::cout << "Trace Ratio: " << Config.DT.ratioNewTrace_OldTrace() << std::endl;
std::cout << "Det Ratio: " << p/mc_weight_type(Config.DT.ratioNewTrace_OldTrace()) << std::endl;
std::cout << "Rate: " << p << std::endl;
std::cout << "CONFIG AFTER: " << Config.DT << std::endl;
for (int a = 0; a < Config.Na; ++a) print_det(Config.dets[a]);
#endif
return p;
}
mc_weight_type Try() {
det = Config.dets[a_level];
// NB the det pointer has to be recomputed each time, since global moves will change it
#ifdef DEBUG
std::cout << "I AM IN Try for Insert_Cdag_C_Delta_SegmentPicture" << std::endl;
std::cout << "CONFIG BEFORE: " << Config.DT << std::endl;
// for (int a = 0; a<Config.Na; ++a) print_det(Config.dets[a]);
#endif
// Pick up a time to insert the first operator
double tau1 = Random(Config.Beta);
// Now find the operator A on the same a level at later time, with cyclicity
// and compute the maximal *oriented* length between the 2 operators (with cyclicity)
Configuration::OP_REF A;
if (det->size()>0) { // non empty
Configuration::DET_TYPE::Cdagger_iterator itCdag = det->Cdagger_begin();
Configuration::DET_TYPE::C_iterator itC = det->C_begin();
while ( (itCdag != det->Cdagger_end()) && (itCdag->tau > tau1) ) {++itCdag;}
while ( (itC != det->C_end()) && (itC->tau > tau1) ) {++itC;}
if (itCdag != det->Cdagger_begin()) --itCdag; else itCdag = --det->Cdagger_end();
if (itC != det->C_begin()) --itC; else itC = --det->C_end();
double rC = Config.CyclicOrientedTimeDistance((*itC)->tau - tau1);
double rCdag = Config.CyclicOrientedTimeDistance((*itCdag)->tau - tau1);
A = ( rC > rCdag ? *itCdag : * itC);
try_insert_length_max = min(rC,rCdag);
}
else { // empty case.
try_insert_length_max = Config.Beta;
A = Config.DT.OpRef_end();
}
// pick up the actual segment length
double rr= Random(try_insert_length_max-2*EPSILON) + EPSILON;
// deduce the time of the second operator
double tau2 = Config.CyclicOrientedTimeDistance(tau1 + rr);
// record the length of the kinks
if (Config.RecordStatisticConfigurations) {
deltaTau = Config.CyclicOrientedTimeDistance(tau2 - tau1);
HISTO_Length_Kinks_Proposed<< abs(deltaTau);
}
// Choose the operators to be inserted
const Hloc::Operator
& OpCdag(*Config.CdagOps[a_level][0]),
& OpC(*Config.COps[a_level][0]);
// shall we add C^+ C or C C^+
// we look whether the next operator is a dagger
bool Op1_is_dagger = true;
if (!A.atEnd()) {
const Configuration::BlockInfo & INFO(Config.info[A->Op->Number]);
assert(INFO.isFundamental());
Op1_is_dagger = INFO.dagger;
}
// Insert the operators Op1 and Op2.
// O1 will always be the dagger :
// Cf doc of insertTwoOperators, order of output OPREF is the same as input operators
Configuration::OP_REF O1, O2;
tie (no_trivial_reject,O1,O2) = (Op1_is_dagger ?
Config.DT.insertTwoOperators(tau1,OpCdag,tau2,OpC) :
Config.DT.insertTwoOperators(tau2,OpCdag,tau1,OpC));
if (!no_trivial_reject) return 0;
double tauCdag = (Op1_is_dagger ? tau1 : tau2);
double tauC = (Op1_is_dagger ? tau2 : tau1);
// Find the position for insertion in the determinant
// NB : the determinant store the C in decreasing order.
int numCdag=1;
for (Configuration::DET_TYPE::Cdagger_iterator p= det->Cdagger_begin();
(p != det->Cdagger_end()) && (p->tau > tauCdag) ; ++p, ++numCdag) {}
int numC=1;
for (Configuration::DET_TYPE::C_iterator p= det->C_begin();
(p != det->C_end()) && (p->tau > tauC) ; ++p, ++numC) {}
// acceptance probability
mc_weight_type p = Config.DT.ratioNewTrace_OldTrace() * det->try_insert(numCdag-1,numC-1,O1,O2);
int Na(det->size()+1);
// !!! det not modified until det->complete_operation is called, so I need to compensate by +1
double Tratio = Config.Beta * try_insert_length_max / (Na ==1 ? 1 : 2*Na);
// (Na... term : cf remove move...
#ifdef DEBUG
std::cout << "Trace Ratio: " << Config.DT.ratioNewTrace_OldTrace() << std::endl;
std::cout << "p*T: " << p*Tratio << std::endl;
std::cout << "CONFIG AFTER: " << Config.DT << std::endl;
//for (int a = 0; a<Config.Na; ++a) print_det(Config.dets[a]);
#endif
return p*Tratio;
}
