typename MAT::type
det_rat_row_column_up(int flavor_ins, int flavor_rem, double t_ins, double t_rem, int row, int column, const MAT & M,
const operator_container_t& creation_operators, const operator_container_t& annihilation_operators, const HYB& F, MAT2& sign_Fs, MAT2& Fe_M, double BETA) {
typedef typename MAT::type SCALAR;
const double sign=((row+column)%2==0 ? 1 : -1);
if (annihilation_operators.size()>0) {
operator_container_t::iterator it_c=creation_operators.begin();
operator_container_t::iterator it_a=annihilation_operators.begin();
Eigen::Matrix<SCALAR,Eigen::Dynamic,Eigen::Dynamic> Fe(1,annihilation_operators.size());
if (annihilation_operators.size()!=creation_operators.size()) {
throw std::runtime_error("annihilation_operators.size()!=creation_operators.size() in det_rat_row_column_up");
}
for (int i=0; i<(int)creation_operators.size(); i++) {
Fe(0,i) = interpolate_F(t_rem-it_c->time(), BETA, F[flavor_rem][it_c->flavor()]);
sign_Fs(i,0) = sign*interpolate_F(it_a->time()-t_ins, BETA, F[(int)(it_a->flavor())][flavor_ins]);
it_c++;
it_a++;
}
Fe_M = Fe*M.block();
return sign*interpolate_F(t_rem-t_ins, BETA, F[flavor_rem][flavor_ins])-(Fe_M*sign_Fs)(0,0);
} else {
return sign*interpolate_F(t_rem-t_ins, BETA, F[flavor_rem][flavor_ins]);
}
}
int compute_M_shift_end(double new_t_end, int k, int new_position, int flavor_rem, MAT & M,
const operator_container_t & creation_operators, const HYB & F,
double BETA, SCALAR det_rat) {
std::vector<SCALAR> R(M.size1(), 0), M_k(M.size1(), 0), Fe(M.size1(), 0);
operator_container_t::const_iterator itc = creation_operators.begin();
for (int i = 0; i < (int) M_k.size(); i++) {
M_k[i] = M(i, k);
Fe[i] = interpolate_F(new_t_end - itc->time(), BETA, F[flavor_rem][itc->flavor()]);
itc++;
}
for (int i = 0; i < (int) R.size(); i++) {
if (i != k) {
for (int j = 0; j < (int) R.size(); j++)
R[i] += Fe[j] * M(j, i);
}
}
for (int m = 0; m < (int) M.size1(); m++) {
if (m != k) {
for (int n = 0; n < (int) M.size1(); n++) {
M(n, m) -= M_k[n] * R[m] / det_rat;
}
} else {
for (int n = 0; n < (int) M.size1(); n++) {
M(n, m) = M_k[n] / det_rat;
}
}
}
//swap column
move_column(M, k, new_position);
return std::abs(k-new_position);
}
SCALAR det_rat_shift_end(double new_t_end, int k, int flavor_rem, MAT & M,
const operator_container_t & creation_operators, const HYB & F, double BETA) {
SCALAR det_rat = 0;
operator_container_t::const_iterator itc = creation_operators.begin();
for (int i = 0; i < M.size1(); i++) {
det_rat += interpolate_F(new_t_end - itc->time(), BETA, F[flavor_rem][itc->flavor()]) * M(i, k);
itc++;
}
return det_rat;
}
SCALAR det_rat_shift_start(double new_t_start, int k, int flavor_ins,
MAT & M, operator_container_t & annihilation_operators, const HYB & F, double BETA) {
SCALAR det_rat = 0;
operator_container_t::iterator ita = annihilation_operators.begin();
for (int i = 0; i < M.size1(); i++) {
det_rat += interpolate_F(ita->time() - new_t_start, BETA, F[ita->flavor()][flavor_ins]) * M(k, i);//right
ita++;
}
return det_rat;
}
void construct_blas_matrix(MAT & M, const operator_container_t &creation_operators,
const operator_container_t &annihilation_operators, double BETA, const HYB & F)
{
int N = creation_operators.size();
M.resize(N, N);
int row = -1;
int column = -1;
for (operator_container_t::iterator ita = annihilation_operators.begin(); ita != annihilation_operators.end(); ita++) {
row++;
for (operator_container_t::iterator itc = creation_operators.begin(); itc != creation_operators.end(); itc++) {
column++;
double argument = ita->time() - itc->time();
double sign = 1;
if (argument < 0) {
argument += BETA;
sign = -1;
}
M(row, column) = interpolate_F(argument, BETA, F[ita->flavor()][itc->flavor()]) * sign;
}
column = -1;
}
}
inline
double make_set_impl(const operator_container_t &annihilation_operators, double BETA, double dtau, std::set<boost::tuple<double,int,double> >& annset) {
int row = -1;
annset.clear();
int num_op_shifted = 0;
double perm = 1.0;
for (operator_container_t::iterator ita = annihilation_operators.begin(); ita != annihilation_operators.end(); ita++) {
row++;
double p = 1.0;
double t = ita->time() + dtau;
if (t > BETA) {
t -= BETA;
p = -1.0;
perm *= -1;
++num_op_shifted;
}
annset.insert(boost::make_tuple(t,row,p));
}
return perm * (
((annihilation_operators.size()-num_op_shifted)*num_op_shifted)%2==0 ? 1 : -1
);
}
int compute_M_shift_start(double new_t_start, int k, int new_position, int flavor_ins,
MAT & M, const operator_container_t & annihilation_operators, const HYB & F, double BETA, SCALAR det_rat) {
std::vector<SCALAR> R(M.size1(), 0), M_k(M.size1(), 0), Fs(M.size1(), 0);
operator_container_t::const_iterator ita = annihilation_operators.begin();
for (int i = 0; i < (int) M_k.size(); i++) {
M_k[i] = M(k, i);
Fs[i] = interpolate_F(ita->time() - new_t_start, BETA, F[ita->flavor()][flavor_ins]);
ita++;
}
for (int i = 0; i < (int) R.size(); i++) {
if (i != k) {
for (int j = 0; j < (int) R.size(); j++)
R[i] += M(i, j) * Fs[j];
}
}
for (int n = 0; n < (int) M.size1(); n++) {
if (n != k) {
for (int m = 0; m < (int) M.size1(); m++) {
M(n, m) -= M_k[m] * R[n] / det_rat;
}
} else {
for (int m = 0; m < (int) M.size1(); m++) {
M(n, m) = M_k[m] / det_rat;
}
}
}
//swap rows
move_row(M, k, new_position);
return std::abs(k-new_position);
}