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/* | ||
* MACIS Copyright (c) 2023, The Regents of the University of California, | ||
* through Lawrence Berkeley National Laboratory (subject to receipt of | ||
* any required approvals from the U.S. Dept. of Energy). All rights reserved. | ||
* | ||
* See LICENSE.txt for details | ||
*/ | ||
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#pragma once | ||
#include <macis/hamiltonian_generator.hpp> | ||
#include <macis/sd_operations.hpp> | ||
#include <macis/util/rdms.hpp> | ||
#include <set> | ||
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namespace macis { | ||
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template< size_t N > | ||
struct det_pos | ||
{ | ||
public: | ||
std::bitset<N> det; | ||
uint32_t id; | ||
}; | ||
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template< size_t N > | ||
bool operator<( const det_pos<N>& a, const det_pos<N>& b ) | ||
{ return bitset_less<N>( a.det, b.det ); } | ||
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template <size_t N> | ||
class SDBuildHamiltonianGenerator : public HamiltonianGenerator<N> { | ||
public: | ||
using base_type = HamiltonianGenerator<N>; | ||
using full_det_t = typename base_type::full_det_t; | ||
using spin_det_t = typename base_type::spin_det_t; | ||
using full_det_iterator = typename base_type::full_det_iterator; | ||
using matrix_span_t = typename base_type::matrix_span_t; | ||
using rank4_span_t = typename base_type::rank4_span_t; | ||
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template <typename index_t> | ||
using sparse_matrix_type = sparsexx::csr_matrix<double, index_t>; | ||
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protected: | ||
size_t nimp, nimp2, nimp3; | ||
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template <typename index_t> | ||
sparse_matrix_type<index_t> make_csr_hamiltonian_block_( | ||
full_det_iterator bra_begin, full_det_iterator bra_end, | ||
full_det_iterator ket_begin, full_det_iterator ket_end, double H_thresh) { | ||
const size_t nbra_dets = std::distance(bra_begin, bra_end); | ||
const size_t nket_dets = std::distance(ket_begin, ket_end); | ||
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std::vector<index_t> colind, rowptr(nbra_dets + 1); | ||
std::vector<double> nzval; | ||
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// List of impurity orbitals, assumed to be the first nimp. | ||
std::vector<uint32_t> imp_orbs(nimp, 0); | ||
for( int ii = 0; ii < nimp; ii++) | ||
imp_orbs[ii] = ii; | ||
std::vector<uint32_t> bra_occ_alpha, bra_occ_beta; | ||
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std::set<det_pos<N> > kets; | ||
for( full_det_iterator it = ket_begin; it != ket_end; it++ ) | ||
{ | ||
det_pos<N> a; | ||
a.det = *it; | ||
a.id = std::distance(ket_begin, it); | ||
kets.insert( a ); | ||
} | ||
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rowptr[0] = 0; | ||
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// Loop over bra determinants | ||
for(size_t i = 0; i < nbra_dets; ++i) { | ||
//if( (i%1000) == 0 ) std::cout << i << ", " << rowptr[i] << std::endl; | ||
const auto bra = *(bra_begin + i); | ||
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size_t nrow = 0; | ||
if(bra.count()) { | ||
// Separate out into alpha/beta components | ||
spin_det_t bra_alpha = bitset_lo_word(bra); | ||
spin_det_t bra_beta = bitset_hi_word(bra); | ||
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// Get occupied indices | ||
bits_to_indices(bra_alpha, bra_occ_alpha); | ||
bits_to_indices(bra_beta , bra_occ_beta); | ||
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// Get singles and doubles | ||
// (Note that doubles only involve impurity orbitals) | ||
std::vector<full_det_t> excs, doubles; | ||
if( just_singles ) | ||
generate_singles_spin( this->norb_, bra, excs ); | ||
else | ||
{ | ||
std::vector<full_det_t> singls; | ||
generate_singles_spin( this->norb_, bra, excs ); | ||
// This will store in singls sinles among impurity orbitals, which we | ||
// have already taken into account. | ||
generate_singles_doubles_spin_as( this->norb_, bra, singls, doubles, imp_orbs ); | ||
excs.insert( excs.end(), doubles.begin(), doubles.end() ); | ||
} | ||
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// Diagonal term | ||
full_det_t ex_diag = bra ^ bra; | ||
spin_det_t exd_alpha = bitset_lo_word( ex_diag ); | ||
spin_det_t exd_beta = bitset_hi_word( ex_diag ); | ||
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// Compute Matrix Element | ||
const auto h_eld = this->matrix_element_diag( bra_occ_alpha, bra_occ_beta ); | ||
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if( std::abs(h_eld) > H_thresh ) { | ||
nrow++; | ||
colind.emplace_back(i); | ||
nzval.emplace_back(h_eld); | ||
} | ||
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// Loop over ket determinants | ||
for( const auto pos_ket : excs ) { | ||
det_pos<N> pos_ket2; pos_ket2.det = pos_ket; pos_ket2.id = 0; | ||
auto it = kets.find( pos_ket2 ); | ||
if( it != kets.end() ) { | ||
int j = it->id; | ||
spin_det_t ket_alpha = bitset_lo_word( pos_ket ); | ||
spin_det_t ket_beta = bitset_hi_word( pos_ket ); | ||
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full_det_t ex_total = bra ^ pos_ket; | ||
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spin_det_t ex_alpha = bitset_lo_word( ex_total ); | ||
spin_det_t ex_beta = bitset_hi_word( ex_total ); | ||
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// Compute Matrix Element | ||
const auto h_el = this->matrix_element( | ||
bra_alpha, ket_alpha, ex_alpha, bra_beta, ket_beta, ex_beta, | ||
bra_occ_alpha, bra_occ_beta ); | ||
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if( std::abs(h_el) > H_thresh ) { | ||
nrow++; | ||
colind.emplace_back(j); | ||
nzval.emplace_back(h_el); | ||
} | ||
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} // Non-zero ket determinant | ||
} // Loop over ket determinants | ||
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} // Non-zero bra determinant | ||
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rowptr[i + 1] = rowptr[i] + nrow; // Update rowptr | ||
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} // Loop over bra determinants | ||
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colind.shrink_to_fit(); | ||
nzval.shrink_to_fit(); | ||
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return sparse_matrix_type<index_t>(nbra_dets, nket_dets, std::move(rowptr), | ||
std::move(colind), std::move(nzval)); | ||
} | ||
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sparse_matrix_type<int32_t> make_csr_hamiltonian_block_32bit_( | ||
full_det_iterator bra_begin, full_det_iterator bra_end, | ||
full_det_iterator ket_begin, full_det_iterator ket_end, | ||
double H_thresh) override { | ||
return make_csr_hamiltonian_block_<int32_t>(bra_begin, bra_end, ket_begin, | ||
ket_end, H_thresh); | ||
} | ||
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sparse_matrix_type<int64_t> make_csr_hamiltonian_block_64bit_( | ||
full_det_iterator bra_begin, full_det_iterator bra_end, | ||
full_det_iterator ket_begin, full_det_iterator ket_end, | ||
double H_thresh) override { | ||
return make_csr_hamiltonian_block_<int64_t>(bra_begin, bra_end, ket_begin, | ||
ket_end, H_thresh); | ||
} | ||
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public: | ||
void form_rdms(full_det_iterator bra_begin, full_det_iterator bra_end, | ||
full_det_iterator ket_begin, full_det_iterator ket_end, | ||
double *C, matrix_span_t ordm, rank4_span_t trdm) override { | ||
const size_t nbra_dets = std::distance(bra_begin, bra_end); | ||
const size_t nket_dets = std::distance(ket_begin, ket_end); | ||
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std::vector<uint32_t> bra_occ_alpha, bra_occ_beta; | ||
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std::set<det_pos<N> > kets; | ||
for( full_det_iterator it = ket_begin; it != ket_end; it++ ) | ||
{ | ||
det_pos<N> a; | ||
a.det = *it; | ||
a.id = std::distance(ket_begin, it); | ||
kets.insert( a ); | ||
} | ||
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// Loop over bra determinants | ||
for(size_t i = 0; i < nbra_dets; ++i) { | ||
const auto bra = *(bra_begin + i); | ||
// if( (i%1000) == 0 ) std::cout << i << std::endl; | ||
if(bra.count()) { | ||
// Separate out into alpha/beta components | ||
spin_det_t bra_alpha = bitset_lo_word(bra); | ||
spin_det_t bra_beta = bitset_hi_word(bra); | ||
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// Get occupied indices | ||
bits_to_indices(bra_alpha, bra_occ_alpha); | ||
bits_to_indices(bra_beta, bra_occ_beta); | ||
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// Get singles and doubles | ||
std::vector<full_det_t> excs; | ||
if( trdm.data_handle() ){ | ||
std::vector<full_det_t> doubles; | ||
generate_singles_doubles_spin( this->norb_, bra, excs, doubles ); | ||
excs.insert( excs.end(), doubles.begin(), doubles.end() ); | ||
} | ||
else{ | ||
generate_singles_spin( this->norb_, bra, excs ); | ||
} | ||
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// Diagonal term | ||
full_det_t ex_diag = bra ^ bra; | ||
spin_det_t exd_alpha = bitset_lo_word( ex_diag ); | ||
spin_det_t exd_beta = bitset_hi_word( ex_diag ); | ||
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// Compute Matrix Element | ||
rdm_contributions( bra_alpha, bra_alpha, | ||
exd_alpha, bra_beta, bra_beta, exd_beta, bra_occ_alpha, | ||
bra_occ_beta, C[i] * C[i], ordm, trdm ); | ||
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// Loop over excitations | ||
for( const auto pos_ket : excs ) { | ||
det_pos<N> pos_ket2; pos_ket2.det = pos_ket; pos_ket2.id = 0; | ||
auto it = kets.find( pos_ket2 ); | ||
if( it != kets.end() ) { | ||
int j = it->id; | ||
spin_det_t ket_alpha = bitset_lo_word( pos_ket ); | ||
spin_det_t ket_beta = bitset_hi_word( pos_ket ); | ||
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full_det_t ex_total = bra ^ pos_ket; | ||
int ex_lim = 2; | ||
if(trdm.data_handle()) ex_lim = 4; | ||
if( ex_total.count() <= ex_lim ) { | ||
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spin_det_t ex_alpha = bitset_lo_word( ex_total ); | ||
spin_det_t ex_beta = bitset_hi_word( ex_total ); | ||
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const double val = C[i] * C[j]; | ||
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// Compute Matrix Element | ||
rdm_contributions( bra_alpha, ket_alpha, | ||
ex_alpha, bra_beta, ket_beta, ex_beta, bra_occ_alpha, | ||
bra_occ_beta, val, ordm, trdm ); | ||
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} // Possible non-zero connection (Hamming distance) | ||
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} // Non-zero ket determinant | ||
} // Loop over ket determinants | ||
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} // Non-zero bra determinant | ||
} // Loop over bra determinants | ||
} | ||
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public: | ||
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bool just_singles; | ||
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template <typename... Args> | ||
SDBuildHamiltonianGenerator(Args &&...args) | ||
: HamiltonianGenerator<N>(std::forward<Args>(args)...), just_singles(false) | ||
{ SetNimp(this->norb_); } | ||
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void SetJustSingles( bool _js ) override{ just_singles = _js; } | ||
void SetNimp( size_t _n ){ nimp = _n; nimp2 = _n * _n; nimp3 = nimp2 * _n; } | ||
size_t GetNimp() const override { return nimp; } | ||
bool GetJustSingles( ) const override{ return just_singles; } | ||
}; | ||
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} // namespace macis |
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Original file line number | Diff line number | Diff line change |
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@@ -0,0 +1,21 @@ | ||
/* | ||
* MACIS Copyright (c) 2023, The Regents of the University of California, | ||
* through Lawrence Berkeley National Laboratory (subject to receipt of | ||
* any required approvals from the U.S. Dept. of Energy). All rights reserved. | ||
* | ||
* See LICENSE.txt for details | ||
*/ | ||
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#pragma once | ||
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#include <macis/types.hpp> | ||
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namespace macis { | ||
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/** | ||
* @brief Generate Hamiltonian Data for 1D Hubbard | ||
*/ | ||
void hubbard_1d(size_t nsites, double t, double U, std::vector<double>& T, | ||
std::vector<double>& V, bool pbc = false); | ||
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} // namespace macis |
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