double getCommuteParity(SpinQuantum a, SpinQuantum b, SpinQuantum c)
{
int aspin = a.get_s(), airrep = a.get_symm().getirrep();
int bspin = b.get_s(), birrep = b.get_symm().getirrep();
int cspin = c.get_s(), cirrep = c.get_symm().getirrep();
int an = a.get_n(), bn = b.get_n();
int parity = IsFermion(a) && IsFermion(b) ? -1 : 1;
for (int asz = -aspin; asz<aspin+1; asz+=2)
for (int bsz = -bspin; bsz<bspin+1; bsz+=2)
for (int al = 0; al<Symmetry::sizeofIrrep(airrep); al++)
for (int bl = 0; bl<Symmetry::sizeofIrrep(birrep); bl++)
{
//double cleb = cleb_(aspin, asz, bspin, bsz, cspin, cspin);
double cleb = clebsch(aspin, asz, bspin, bsz, cspin, cspin);
double clebspatial = Symmetry::spatial_cg(airrep, birrep, cirrep, al, bl, 0);
if (fabs(cleb) <= 1.0e-14 || fabs(clebspatial) <= 1.0e-14)
continue;
else
//return parity*cleb*clebdinfh/cleb_(bspin, bsz, aspin, asz, cspin, cspin)/Symmetry::spatial_cg(birrep, airrep, cirrep, bl, al, 0);
return parity*cleb*clebspatial/clebsch(bspin, bsz, aspin, asz, cspin, cspin)/Symmetry::spatial_cg(birrep, airrep, cirrep, bl, al, 0);
}
cout << "Major trouble, getCommuteParity asked for three inappropriate operators"<<endl;
cout << a<<" "<<b<<" "<<c<<endl;
return 1.0;
}
template<> void Op_component<CreCreDesComp>::build_iterators(SpinBlock& b)
{
if (b.get_sites().size () == 0) return; // blank construction (used in unset_initialised() Block copy construction, for use with STL)
const double screen_tol = dmrginp.oneindex_screen_tol();
vector< int > screened_cdd_ix = (dmrginp.hamiltonian() == BCS) ?
screened_cddcomp_indices(b.get_complementary_sites(), b.get_sites(), v_1, *b.get_twoInt(), v_cc, v_cccc, v_cccd, screen_tol) :
screened_cddcomp_indices(b.get_complementary_sites(), b.get_sites(), v_1, *b.get_twoInt(), screen_tol);
m_op.set_indices(screened_cdd_ix, dmrginp.last_site());
std::vector<int> orbs(1);
for (int i = 0; i < m_op.local_nnz(); ++i)
{
orbs[0] = m_op.get_local_indices()[i];
m_op.get_local_element(i).resize(1);
m_op.get_local_element(i)[0]=boost::shared_ptr<CreCreDesComp>(new CreCreDesComp);
SparseMatrix& op = *m_op.get_local_element(i)[0];
op.set_orbs() = orbs;
op.set_initialised() = true;
op.set_fermion() = true;
//op.set_deltaQuantum() = SpinQuantum(1, SpinOf(orbs[0]), SymmetryOfSpatialOrb(orbs[0]) );
if (dmrginp.hamiltonian() == BCS) {
op.resize_deltaQuantum(4);
SpinQuantum qorb = getSpinQuantum(orbs[0]);
op.set_deltaQuantum(0) = qorb;
op.set_deltaQuantum(1) = SpinQuantum(3, qorb.get_s(), qorb.get_symm());
op.set_deltaQuantum(2) = SpinQuantum(-1, qorb.get_s(), qorb.get_symm());
op.set_deltaQuantum(3) = SpinQuantum(-3, qorb.get_s(), qorb.get_symm());
} else {
op.set_deltaQuantum(1, getSpinQuantum(orbs[0]));
}
}
}
void SpinAdapted::operatorfunctions::TensorMultiply(const SpinBlock *ablock, const Baseoperator<Matrix>& a, const Baseoperator<Matrix>& b, const SpinBlock *cblock, Wavefunction& c, Wavefunction& v, const SpinQuantum opQ, double scale)
{
// can be used for situation with different bra and ket
const int leftBraOpSz = cblock->get_leftBlock()->get_braStateInfo().quanta.size ();
const int leftKetOpSz = cblock->get_leftBlock()->get_ketStateInfo().quanta.size ();
const int rightBraOpSz = cblock->get_rightBlock()->get_braStateInfo().quanta.size ();
const int rightKetOpSz = cblock->get_rightBlock()->get_ketStateInfo().quanta.size ();
const StateInfo* lbraS = cblock->get_braStateInfo().leftStateInfo, *rbraS = cblock->get_braStateInfo().rightStateInfo;
const StateInfo* lketS = cblock->get_ketStateInfo().leftStateInfo, *rketS = cblock->get_ketStateInfo().rightStateInfo;
const char conjC = (cblock->get_leftBlock() == ablock) ? 'n' : 't';
const Baseoperator<Matrix>& leftOp = (conjC == 'n') ? a : b; // an ugly hack to support the release memory optimisation
const Baseoperator<Matrix>& rightOp = (conjC == 'n') ? b : a;
const char leftConj = (conjC == 'n') ? a.conjugacy() : b.conjugacy();
const char rightConj = (conjC == 'n') ? b.conjugacy() : a.conjugacy();
int totalmem =0;
for (int lQrQPrime = 0; lQrQPrime<leftBraOpSz*rightKetOpSz; ++lQrQPrime)
{
int rQPrime = lQrQPrime%rightKetOpSz, lQ = lQrQPrime/rightKetOpSz;
for (int lQPrime = 0; lQPrime < leftKetOpSz; lQPrime++)
if (leftOp.allowed(lQ, lQPrime) && c.allowed(lQPrime, rQPrime))
{
Matrix m; m.ReSize(lbraS->getquantastates(lQ), rketS->getquantastates(rQPrime));
double factor = leftOp.get_scaling(lbraS->quanta[lQ], lketS->quanta[lQPrime]);
MatrixMultiply (leftOp.operator_element(lQ, lQPrime), leftConj, c.operator_element(lQPrime, rQPrime), 'n',
m, factor, 0.);
for (int rQ = 0; rQ<rightBraOpSz; rQ++) {
if (v.allowed(lQ, rQ) && rightOp.allowed(rQ, rQPrime)) {
double factor = scale;
factor *= dmrginp.get_ninej()(lketS->quanta[lQPrime].get_s().getirrep(), rketS->quanta[rQPrime].get_s().getirrep() , c.get_deltaQuantum(0).get_s().getirrep(),
leftOp.get_spin().getirrep(), rightOp.get_spin().getirrep(), opQ.get_s().getirrep(),
lbraS->quanta[lQ].get_s().getirrep(), rbraS->quanta[rQ].get_s().getirrep() , v.get_deltaQuantum(0).get_s().getirrep());
factor *= Symmetry::spatial_ninej(lketS->quanta[lQPrime].get_symm().getirrep() , rketS->quanta[rQPrime].get_symm().getirrep(), c.get_symm().getirrep(),
leftOp.get_symm().getirrep(), rightOp.get_symm().getirrep(), opQ.get_symm().getirrep(),
lbraS->quanta[lQ].get_symm().getirrep() , rbraS->quanta[rQ].get_symm().getirrep(), v.get_symm().getirrep());
int parity = rightOp.get_fermion() && IsFermion(lketS->quanta[lQPrime]) ? -1 : 1;
factor *= rightOp.get_scaling(rbraS->quanta[rQ], rketS->quanta[rQPrime]);
MatrixMultiply (m, 'n', rightOp(rQ, rQPrime), TransposeOf(rightOp.conjugacy()), v.operator_element(lQ, rQ), factor*parity);
}
}
}
}
}
void SpinAdapted::operatorfunctions::TensorMultiply(const Baseoperator<Matrix>& a, const Baseoperator<Matrix>& b, const StateInfo *brastateinfo, const StateInfo *ketstateinfo, const Wavefunction& c, Wavefunction& v, const SpinQuantum opQ, bool aIsLeftOp, double scale)
{
const int leftBraOpSz = brastateinfo->leftStateInfo->quanta.size ();
const int leftKetOpSz = ketstateinfo->leftStateInfo->quanta.size ();
const int rightBraOpSz = brastateinfo->rightStateInfo->quanta.size ();
const int rightKetOpSz = ketstateinfo->rightStateInfo->quanta.size ();
const StateInfo* lbraS = brastateinfo->leftStateInfo, *rbraS = brastateinfo->rightStateInfo;
const StateInfo* lketS = ketstateinfo->leftStateInfo, *rketS = ketstateinfo->rightStateInfo;
const char conjC = (aIsLeftOp) ? 'n' : 't';
const Baseoperator<Matrix>& leftOp = (conjC == 'n') ? a : b; // an ugly hack to support the release memory optimisation
const Baseoperator<Matrix>& rightOp = (conjC == 'n') ? b : a;
const char leftConj = (conjC == 'n') ? a.conjugacy() : b.conjugacy();
const char rightConj = (conjC == 'n') ? b.conjugacy() : a.conjugacy();
Wavefunction u;
u.resize(leftBraOpSz*leftKetOpSz, rightKetOpSz);
int totalmem =0;
{
for (int lQrQPrime = 0; lQrQPrime<leftBraOpSz*rightKetOpSz; ++lQrQPrime)
{
int rQPrime = lQrQPrime%rightKetOpSz, lQ = lQrQPrime/rightKetOpSz;
for (int lQPrime = 0; lQPrime < leftKetOpSz; lQPrime++)
if (leftOp.allowed(lQ, lQPrime) && c.allowed(lQPrime, rQPrime))
{
int lindex = lQ*leftKetOpSz+lQPrime;
u.allowed(lindex, rQPrime) = true;
u(lindex,rQPrime).ReSize(lbraS->getquantastates(lQ), rketS->getquantastates(rQPrime));
double factor = leftOp.get_scaling(lbraS->quanta[lQ], lketS->quanta[lQPrime]);
MatrixMultiply (leftOp.operator_element(lQ, lQPrime), leftConj, c.operator_element(lQPrime, rQPrime), 'n',
u.operator_element(lindex, rQPrime), factor, 0.);
}
}
}
{
for (int lQrQ = 0; lQrQ<leftBraOpSz*rightBraOpSz; ++lQrQ)
{
int rQ = lQrQ%rightBraOpSz, lQ=lQrQ/rightBraOpSz;
if (v.allowed(lQ, rQ))
for (int rQPrime = 0; rQPrime < rightKetOpSz; rQPrime++)
if (rightOp.allowed(rQ, rQPrime))
for (int lQPrime = 0; lQPrime < leftKetOpSz; lQPrime++)
if (leftOp.allowed(lQ, lQPrime) && u.allowed(lQ*leftKetOpSz+lQPrime, rQPrime))
{
int lindex = lQ*leftKetOpSz+lQPrime;
double factor = scale;
//if(dmrginp.spinAdapted()){
//ninej has already considered non spin-adapted
//it is just 1 in nonspin-adapted
factor *= dmrginp.get_ninej()(lketS->quanta[lQPrime].get_s().getirrep(), rketS->quanta[rQPrime].get_s().getirrep() , c.get_deltaQuantum(0).get_s().getirrep(),
leftOp.get_spin().getirrep(), rightOp.get_spin().getirrep(), opQ.get_s().getirrep(),
lbraS->quanta[lQ].get_s().getirrep(), rbraS->quanta[rQ].get_s().getirrep() , v.get_deltaQuantum(0).get_s().getirrep());
//}
factor *= Symmetry::spatial_ninej(lketS->quanta[lQPrime].get_symm().getirrep() , rketS->quanta[rQPrime].get_symm().getirrep(), c.get_symm().getirrep(),
leftOp.get_symm().getirrep(), rightOp.get_symm().getirrep(), opQ.get_symm().getirrep(),
lbraS->quanta[lQ].get_symm().getirrep() , rbraS->quanta[rQ].get_symm().getirrep(), v.get_symm().getirrep());
int parity = rightOp.get_fermion() && IsFermion(lketS->quanta[lQPrime]) ? -1 : 1;
factor *= rightOp.get_scaling(rbraS->quanta[rQ], rketS->quanta[rQPrime]);
MatrixMultiply (u.operator_element(lindex, rQPrime), 'n',
rightOp(rQ, rQPrime), TransposeOf(rightOp.conjugacy()), v.operator_element(lQ, rQ), factor*parity);
}
}
}
}
void SpinAdapted::InitBlocks::InitStartingBlock (SpinBlock& startingBlock, const bool &forward, int leftState, int rightState,
const int & forward_starting_size, const int &backward_starting_size,
const int& restartSize, const bool &restart, const bool& warmUp, int integralIndex, const vector<SpinQuantum>& braquanta, const vector<SpinQuantum>& ketquanta)
{
if (restart && restartSize != 1)
{
int len = restart? restartSize : forward_starting_size;
vector<int> sites(len);
if (forward)
for (int i=0; i<len; i++)
sites[i] = i;
else
for (int i=0; i<len; i++)
sites[i] = dmrginp.last_site() - len +i ;
if (restart)
SpinBlock::restore (forward, sites, startingBlock, leftState, rightState);
else
SpinBlock::restore (true, sites, startingBlock, leftState, rightState);
}
else if (forward)
{
if(startingBlock.nonactive_orb().size()!=0)
startingBlock = SpinBlock(0, forward_starting_size - 1,startingBlock.nonactive_orb() , true);
else
startingBlock = SpinBlock(0, forward_starting_size - 1, integralIndex, leftState==rightState, true);
if (dmrginp.add_noninteracting_orbs() && dmrginp.molecule_quantum().get_s().getirrep() != 0 && dmrginp.spinAdapted())
{
SpinQuantum s = dmrginp.molecule_quantum();
s = SpinQuantum(s.get_s().getirrep(), s.get_s(), IrrepSpace(0));
int qs = 1, ns = 1;
StateInfo addstate(ns, &s, &qs);
SpinBlock dummyblock(addstate, integralIndex);
SpinBlock newstartingBlock;
newstartingBlock.set_integralIndex() = integralIndex;
newstartingBlock.default_op_components(false, startingBlock, dummyblock, true, true, leftState==rightState);
newstartingBlock.setstoragetype(LOCAL_STORAGE);
if( braquanta.size()!= 0)
newstartingBlock.BuildSumBlock(NO_PARTICLE_SPIN_NUMBER_CONSTRAINT, startingBlock, dummyblock,braquanta,ketquanta);
else
newstartingBlock.BuildSumBlock(NO_PARTICLE_SPIN_NUMBER_CONSTRAINT, startingBlock, dummyblock);
startingBlock.clear();
startingBlock = newstartingBlock;
}
}
else
{
std::vector<int> backwardSites;
if(dmrginp.spinAdapted()) {
for (int i = 0; i < backward_starting_size; ++i)
backwardSites.push_back (dmrginp.last_site() - i - 1);
}
else {
for (int i = 0; i < backward_starting_size; ++i)
backwardSites.push_back (dmrginp.last_site()/2 - i - 1);
}
sort (backwardSites.begin (), backwardSites.end ());
startingBlock.set_integralIndex() = integralIndex;
startingBlock.default_op_components(false, leftState==rightState);
startingBlock.BuildTensorProductBlock (backwardSites);
}
}
void SpinAdapted::operatorfunctions::TensorMultiply(const SpinBlock *ablock, const Baseoperator<Matrix>& a, const Baseoperator<Matrix>& b, const SpinBlock *cblock, Wavefunction& c, Wavefunction& v, const SpinQuantum opQ, double scale)
{
const int leftOpSz = cblock->get_leftBlock()->get_stateInfo().quanta.size ();
const int rightOpSz = cblock->get_rightBlock()->get_stateInfo().quanta.size ();
const StateInfo* rS = cblock->get_stateInfo().rightStateInfo, *lS = cblock->get_stateInfo().leftStateInfo;
assert (cblock->get_leftBlock() == ablock || cblock->get_rightBlock() == ablock);
const char conjC = (cblock->get_leftBlock() == ablock) ? 'n' : 't';
const Baseoperator<Matrix>& leftOp = (conjC == 'n') ? a : b; // an ugly hack to support the release memory optimisation
const Baseoperator<Matrix>& rightOp = (conjC == 'n') ? b : a;
const char leftConj = (conjC == 'n') ? a.conjugacy() : b.conjugacy();
const char rightConj = (conjC == 'n') ? b.conjugacy() : a.conjugacy();
Wavefunction u;
u.resize(leftOpSz*leftOpSz, rightOpSz);
int totalmem =0;
{
for (int lQrQPrime = 0; lQrQPrime<leftOpSz*rightOpSz; ++lQrQPrime)
{
int rQPrime = lQrQPrime%rightOpSz, lQ = lQrQPrime/rightOpSz;
for (int lQPrime = 0; lQPrime < leftOpSz; lQPrime++)
if (leftOp.allowed(lQ, lQPrime) && c.allowed(lQPrime, rQPrime))
{
int lindex = lQ*leftOpSz+lQPrime;
u.allowed(lindex, rQPrime) = true;
u(lindex,rQPrime).ReSize(lS->getquantastates(lQ), rS->getquantastates(rQPrime));
double factor = leftOp.get_scaling(lS->quanta[lQ], lS->quanta[lQPrime]);
MatrixMultiply (leftOp.operator_element(lQ, lQPrime), leftConj, c.operator_element(lQPrime, rQPrime), 'n',
u.operator_element(lindex, rQPrime), factor, 0.);
}
}
}
{
for (int lQrQ = 0; lQrQ<leftOpSz*rightOpSz; ++lQrQ)
{
int rQ = lQrQ%rightOpSz, lQ=lQrQ/rightOpSz;
if (v.allowed(lQ, rQ))
for (int rQPrime = 0; rQPrime < rightOpSz; rQPrime++)
if (rightOp.allowed(rQ, rQPrime))
for (int lQPrime = 0; lQPrime < leftOpSz; lQPrime++)
if (leftOp.allowed(lQ, lQPrime) && u.allowed(lQ*leftOpSz+lQPrime, rQPrime))
{
int lindex = lQ*leftOpSz+lQPrime;
double factor = scale;
factor *= dmrginp.get_ninej()(lS->quanta[lQPrime].get_s(), rS->quanta[rQPrime].get_s() , c.get_deltaQuantum().get_s(),
leftOp.get_spin(), rightOp.get_spin(), opQ.get_s(),
lS->quanta[lQ].get_s(), rS->quanta[rQ].get_s() , v.get_deltaQuantum().get_s());
factor *= Symmetry::spatial_ninej(lS->quanta[lQPrime].get_symm().getirrep() , rS->quanta[rQPrime].get_symm().getirrep(), c.get_symm().getirrep(),
leftOp.get_symm().getirrep(), rightOp.get_symm().getirrep(), opQ.get_symm().getirrep(),
lS->quanta[lQ].get_symm().getirrep() , rS->quanta[rQ].get_symm().getirrep(), v.get_symm().getirrep());
int parity = rightOp.get_fermion() && IsFermion(lS->quanta[lQPrime]) ? -1 : 1;
factor *= rightOp.get_scaling(rS->quanta[rQ], rS->quanta[rQPrime]);
MatrixMultiply (u.operator_element(lindex, rQPrime), 'n',
rightOp(rQ, rQPrime), TransposeOf(rightOp.conjugacy()), v.operator_element(lQ, rQ), factor*parity);
}
}
}
}