| 1 | //
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| 2 | // scfvector.cc --- implementation of SCF::compute_vector
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| 3 | //
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| 4 | // Copyright (C) 1996 Limit Point Systems, Inc.
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| 5 | //
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| 6 | // Author: Edward Seidl <seidl@janed.com>
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| 7 | // Maintainer: LPS
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| 8 | //
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| 9 | // This file is part of the SC Toolkit.
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| 10 | //
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| 11 | // The SC Toolkit is free software; you can redistribute it and/or modify
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| 12 | // it under the terms of the GNU Library General Public License as published by
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| 13 | // the Free Software Foundation; either version 2, or (at your option)
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| 14 | // any later version.
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| 15 | //
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| 16 | // The SC Toolkit is distributed in the hope that it will be useful,
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| 17 | // but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 18 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 19 | // GNU Library General Public License for more details.
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| 20 | //
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| 21 | // You should have received a copy of the GNU Library General Public License
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| 22 | // along with the SC Toolkit; see the file COPYING.LIB. If not, write to
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| 23 | // the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
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| 24 | //
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| 25 | // The U.S. Government is granted a limited license as per AL 91-7.
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| 26 | //
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| 27 |
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| 28 | #include <unistd.h>
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| 29 | #include <stdlib.h>
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| 30 | #include <string.h>
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| 31 |
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| 32 | #include <sstream>
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| 33 |
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| 34 | #include <util/misc/timer.h>
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| 35 | #include <util/misc/formio.h>
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| 36 |
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| 37 | #include <util/state/state_bin.h>
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| 38 | #include <util/group/mstate.h>
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| 39 |
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| 40 | #include <math/scmat/offset.h>
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| 41 | #include <math/scmat/blocked.h>
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| 42 | #include <math/scmat/blkiter.h>
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| 43 |
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| 44 | #include <math/optimize/diis.h>
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| 45 | #include <math/optimize/scextrapmat.h>
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| 46 |
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| 47 | #include <chemistry/qc/basis/symmint.h>
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| 48 |
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| 49 | #include <chemistry/qc/scf/scf.h>
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| 50 | #include <chemistry/qc/scf/scfops.h>
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| 51 | #include <chemistry/qc/scf/scflocal.h>
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| 52 |
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| 53 | #include <errno.h>
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| 54 |
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| 55 | using namespace std;
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| 56 | using namespace sc;
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| 57 |
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| 58 | #undef GENERALIZED_EIGENSOLVER
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| 59 |
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| 60 | namespace sc {
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| 61 |
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| 62 | ///////////////////////////////////////////////////////////////////////////
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| 63 |
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| 64 | extern "C" {
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| 65 | void
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| 66 | dsygv_(int *ITYPE, const char *JOBZ, const char *UPLO,
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| 67 | int *N, double *A, int *LDA, double *B, int *LDB,
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| 68 | double *W, double *WORK, int *LWORK, int *INFO);
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| 69 | }
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| 70 |
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| 71 | void
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| 72 | SCF::savestate_to_file(const std::string &filename)
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| 73 | {
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| 74 | std::string filename_to_delete = previous_savestate_file_;
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| 75 | std::string filename_to_use;
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| 76 | if (scf_grp_->me() == 0) {
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| 77 | filename_to_use = filename;
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| 78 | previous_savestate_file_ = filename;
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| 79 | }
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| 80 | else {
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| 81 | filename_to_use = "/dev/null";
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| 82 | }
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| 83 | StateOutBin so(filename_to_use.c_str());
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| 84 | save_state(this,so);
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| 85 | so.close();
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| 86 | if (filename_to_delete.size() > 0) {
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| 87 | if (unlink(filename_to_delete.c_str())) {
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| 88 | int unlink_errno = errno;
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| 89 | ExEnv::out0() << indent
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| 90 | << "WARNING: SCF::compute_vector(): "
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| 91 | << "unlink of temporary checkpoint file"
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| 92 | << endl
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| 93 | << indent
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| 94 | << " \"" << filename_to_delete << "\" "
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| 95 | << "failed with error: "
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| 96 | << strerror(unlink_errno)
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| 97 | << endl;
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| 98 | }
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| 99 | }
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| 100 | }
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| 101 |
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| 102 | void
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| 103 | SCF::savestate_iter(int iter)
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| 104 | {
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| 105 | char *ckptfile=0, *oldckptfile=0;
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| 106 | const char *devnull=0;
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| 107 | const char *filename=0;
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| 108 |
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| 109 | bool savestate = if_to_checkpoint();
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| 110 | int savestate_freq = checkpoint_freq();
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| 111 |
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| 112 | if (savestate && ( (iter+1)%savestate_freq==0) ) {
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| 113 | ostringstream sstr;
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| 114 | const char *filename = checkpoint_file();
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| 115 | sstr << filename << "." << iter+1 << ".tmp";
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| 116 | savestate_to_file(sstr.str());
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| 117 | free((void*)filename);
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| 118 | }
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| 119 | }
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| 120 |
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| 121 | double
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| 122 | SCF::compute_vector(double& eelec, double nucrep)
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| 123 | {
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| 124 | tim_enter("vector");
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| 125 | int i;
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| 126 |
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| 127 | // reinitialize the extrapolation object
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| 128 | extrap_->reinitialize();
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| 129 |
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| 130 | // create level shifter
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| 131 | LevelShift *level_shift = new LevelShift(this);
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| 132 | level_shift->reference();
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| 133 |
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| 134 | // calculate the core Hamiltonian
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| 135 | hcore_ = core_hamiltonian();
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| 136 |
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| 137 | // add density independant contributions to Hcore
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| 138 | accumdih_->accum(hcore_);
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| 139 |
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| 140 | // set up subclass for vector calculation
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| 141 | init_vector();
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| 142 |
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| 143 | RefDiagSCMatrix evals(oso_dimension(), basis_matrixkit());
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| 144 |
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| 145 | double delta = 1.0;
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| 146 | int iter, iter_since_reset = 0;
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| 147 | double accuracy = 1.0;
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| 148 |
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| 149 | ExEnv::out0() << indent
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| 150 | << "Beginning iterations. Basis is "
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| 151 | << basis()->label() << '.' << std::endl;
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| 152 | for (iter=0; iter < maxiter_; iter++, iter_since_reset++) {
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| 153 | // form the density from the current vector
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| 154 | tim_enter("density");
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| 155 | delta = new_density();
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| 156 | tim_exit("density");
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| 157 |
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| 158 | // check convergence
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| 159 | if (delta < desired_value_accuracy()
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| 160 | && accuracy < desired_value_accuracy()) break;
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| 161 |
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| 162 | // reset the density from time to time
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| 163 | if (iter_since_reset && !(iter_since_reset%dens_reset_freq_)) {
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| 164 | reset_density();
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| 165 | iter_since_reset = 0;
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| 166 | }
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| 167 |
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| 168 | // form the AO basis fock matrix & add density dependant H
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| 169 | tim_enter("fock");
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| 170 | double base_accuracy = delta;
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| 171 | if (base_accuracy < desired_value_accuracy())
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| 172 | base_accuracy = desired_value_accuracy();
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| 173 | double new_accuracy = 0.01 * base_accuracy;
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| 174 | if (new_accuracy > 0.001) new_accuracy = 0.001;
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| 175 | if (iter == 0) accuracy = new_accuracy;
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| 176 | else if (new_accuracy < accuracy) {
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| 177 | accuracy = new_accuracy/10.0;
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| 178 | if (iter_since_reset > 0) {
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| 179 | reset_density();
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| 180 | iter_since_reset = 0;
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| 181 | }
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| 182 | }
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| 183 | ao_fock(accuracy);
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| 184 | tim_exit("fock");
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| 185 |
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| 186 | // calculate the electronic energy
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| 187 | eelec = scf_energy();
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| 188 | double eother = 0.0;
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| 189 | if (accumddh_.nonnull()) eother = accumddh_->e();
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| 190 | ExEnv::out0() << indent
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| 191 | << scprintf("iter %5d energy = %15.10f delta = %10.5e",
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| 192 | iter+1, eelec+eother+nucrep, delta)
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| 193 | << endl;
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| 194 |
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| 195 | // now extrapolate the fock matrix
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| 196 | tim_enter("extrap");
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| 197 | Ref<SCExtrapData> data = extrap_data();
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| 198 | Ref<SCExtrapError> error = extrap_error();
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| 199 | extrap_->extrapolate(data,error);
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| 200 | data=0;
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| 201 | error=0;
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| 202 | tim_exit("extrap");
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| 203 |
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| 204 | #ifdef GENERALIZED_EIGENSOLVER
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| 205 | // Get the fock matrix and overlap in the SO basis. The fock matrix
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| 206 | // used here works for CLOSED SHELL ONLY.
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| 207 | RefSymmSCMatrix bfmatref = fock(0);
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| 208 | RefSymmSCMatrix bsmatref = overlap();
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| 209 | BlockedSymmSCMatrix *bfmat
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| 210 | = dynamic_cast<BlockedSymmSCMatrix*>(bfmatref.pointer());
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| 211 | BlockedSymmSCMatrix *bsmat
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| 212 | = dynamic_cast<BlockedSymmSCMatrix*>(bsmatref.pointer());
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| 213 | BlockedDiagSCMatrix *bevals
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| 214 | = dynamic_cast<BlockedDiagSCMatrix*>(evals.pointer());
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| 215 | BlockedSCMatrix *bvec
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| 216 | = dynamic_cast<BlockedSCMatrix*>(oso_scf_vector_.pointer());
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| 217 |
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| 218 | ExEnv::out0() << indent
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| 219 | << "solving generalized eigenvalue problem" << endl;
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| 220 |
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| 221 | for (int iblock=0; iblock<bfmat->nblocks(); iblock++) {
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| 222 | RefSymmSCMatrix fmat = bfmat->block(iblock);
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| 223 | RefSymmSCMatrix smat = bsmat->block(iblock);
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| 224 | RefDiagSCMatrix evalblock = bevals->block(iblock);
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| 225 | RefSCMatrix oso_scf_vector_block = bvec->block(iblock);
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| 226 | int nbasis = fmat.dim().n();
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| 227 | int nbasis2 = nbasis*nbasis;
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| 228 |
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| 229 | if (!nbasis) continue;
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| 230 |
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| 231 | // Convert to the lapack storage format.
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| 232 | double *fso = new double[nbasis2];
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| 233 | double *sso = new double[nbasis2];
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| 234 | int ij=0;
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| 235 | for (int i=0; i<nbasis; i++) {
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| 236 | for (int j=0; j<nbasis; j++,ij++) {
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| 237 | fso[ij] = fmat(i,j);
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| 238 | sso[ij] = smat(i,j);
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| 239 | }
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| 240 | }
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| 241 |
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| 242 | // solve generalized eigenvalue problem with DSYGV
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| 243 | int itype = 1;
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| 244 | double *epsilon = new double[nbasis];
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| 245 | int lwork = -1;
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| 246 | int info;
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| 247 | double optlwork;
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| 248 | dsygv_(&itype,"V","U",&nbasis,fso,&nbasis,sso,&nbasis,
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| 249 | epsilon,&optlwork,&lwork,&info);
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| 250 | if (info) {
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| 251 | ExEnv::outn() << "dsygv could not determine work size: info = "
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| 252 | << info << endl;
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| 253 | abort();
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| 254 | }
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| 255 | lwork = (int)optlwork;
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| 256 | double *work = new double[lwork];
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| 257 | dsygv_(&itype,"V","U",&nbasis,fso,&nbasis,sso,&nbasis,
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| 258 | epsilon,work,&lwork,&info);
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| 259 | if (info) {
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| 260 | ExEnv::outn() << "dsygv could not diagonalize matrix: info = "
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| 261 | << info << endl;
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| 262 | abort();
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| 263 | }
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| 264 | double *z = fso; // the vector is placed in fso
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| 265 |
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| 266 | // make sure everyone agrees on the new arrays
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| 267 | scf_grp_->bcast(z, nbasis2);
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| 268 | scf_grp_->bcast(epsilon, nbasis);
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| 269 |
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| 270 | evalblock->assign(epsilon);
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| 271 | oso_scf_vector_block->assign(z);
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| 272 |
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| 273 | // cleanup
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| 274 | delete[] fso;
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| 275 | delete[] work;
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| 276 | delete[] sso;
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| 277 | delete[] epsilon;
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| 278 | }
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| 279 |
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| 280 | oso_scf_vector_ = (oso_scf_vector_ * so_to_orthog_so_inverse()).t();
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| 281 | #else
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| 282 | // diagonalize effective MO fock to get MO vector
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| 283 | tim_enter("evals");
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| 284 | RefSCMatrix nvector(oso_dimension(),oso_dimension(),basis_matrixkit());
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| 285 |
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| 286 | RefSymmSCMatrix eff = effective_fock();
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| 287 |
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| 288 | // level shift effective fock
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| 289 | level_shift->set_shift(level_shift_);
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| 290 | eff.element_op(level_shift);
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| 291 |
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| 292 | if (debug_>1) {
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| 293 | eff.print("effective 1 body hamiltonian in current mo basis");
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| 294 | }
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| 295 |
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| 296 | // transform eff to the oso basis to diagonalize it
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| 297 | RefSymmSCMatrix oso_eff(oso_dimension(), basis_matrixkit());
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| 298 | oso_eff.assign(0.0);
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| 299 | oso_eff.accumulate_transform(oso_scf_vector_,eff);
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| 300 | eff = 0;
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| 301 | oso_eff.diagonalize(evals, oso_scf_vector_);
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| 302 |
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| 303 | tim_exit("evals");
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| 304 |
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| 305 | if (debug_>0 && level_shift_ != 0.0) {
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| 306 | evals.print("level shifted scf eigenvalues");
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| 307 | }
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| 308 |
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| 309 | // now un-level shift eigenvalues
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| 310 | level_shift->set_shift(-level_shift_);
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| 311 | evals.element_op(level_shift);
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| 312 | #endif
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| 313 |
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| 314 | if (debug_>0) {
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| 315 | evals.print("scf eigenvalues");
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| 316 | }
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| 317 |
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| 318 | if (reset_occ_)
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| 319 | set_occupations(evals);
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| 320 |
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| 321 | if (debug_>1) {
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| 322 | oso_scf_vector_.print("OSO basis scf vector");
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| 323 | (oso_scf_vector_.t()*oso_scf_vector_).print(
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| 324 | "vOSO.t()*vOSO",ExEnv::out0(),14);
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| 325 | }
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| 326 |
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| 327 | savestate_iter(iter);
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| 328 | }
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| 329 |
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| 330 | eigenvalues_ = evals;
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| 331 | eigenvalues_.computed() = 1;
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| 332 | eigenvalues_.set_actual_accuracy(accuracy<delta?delta:accuracy);
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| 333 |
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| 334 | // search for HOMO and LUMO
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| 335 | // first convert evals to something we can deal with easily
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| 336 | BlockedDiagSCMatrix *evalsb = require_dynamic_cast<BlockedDiagSCMatrix*>(evals,
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| 337 | "SCF::compute_vector");
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| 338 |
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| 339 | CharacterTable ct = molecule()->point_group()->char_table();
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| 340 |
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| 341 | int homo_ir=0, lumo_ir=0;
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| 342 | int homo_mo = -1, lumo_mo = -1;
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| 343 | double homo=-1e99, lumo=1e99;
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| 344 | for (i=0; i < oso_dimension()->blocks()->nblock(); i++) {
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| 345 | int nf=oso_dimension()->blocks()->size(i);
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| 346 | if (nf) {
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| 347 | double *vals = new double[nf];
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| 348 | evalsb->block(i)->convert(vals);
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| 349 |
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| 350 | for (int mo=0; mo < nf; mo++) {
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| 351 | if (occupation(i, mo) > 0.0) {
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| 352 | if (vals[mo] > homo) {
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| 353 | homo = vals[mo];
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| 354 | homo_ir = i;
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| 355 | homo_mo = mo;
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| 356 | }
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| 357 | } else {
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| 358 | if (vals[mo] < lumo) {
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| 359 | lumo = vals[mo];
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| 360 | lumo_ir = i;
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| 361 | lumo_mo = mo;
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| 362 | }
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| 363 | }
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| 364 | }
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| 365 |
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| 366 | if (print_all_evals_ || print_occ_evals_) {
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| 367 | ExEnv::out0() << endl
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| 368 | << indent << ct.gamma(i).symbol() << endl << incindent;
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| 369 | for (int m=0; m < nf; m++) {
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| 370 | if (occupation(i,m) < 1e-8 && !print_all_evals_)
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| 371 | break;
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| 372 | ExEnv::out0() << indent
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| 373 | << scprintf("%5d %10.5f %10.5f", m+1, vals[m], occupation(i,m))
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| 374 | << endl;
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| 375 | }
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| 376 | ExEnv::out0() << decindent;
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| 377 | }
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| 378 |
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| 379 | delete[] vals;
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| 380 | }
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| 381 | }
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| 382 |
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| 383 | if (homo_mo >= 0) {
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| 384 | ExEnv::out0() << endl << indent
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| 385 | << scprintf("HOMO is %5d %3s = %10.6f",
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| 386 | homo_mo+1,
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| 387 | ct.gamma(homo_ir).symbol(),
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| 388 | homo)
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| 389 | << endl;
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| 390 | }
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| 391 | if (lumo_mo >= 0) {
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| 392 | ExEnv::out0() << indent
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| 393 | << scprintf("LUMO is %5d %3s = %10.6f",
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| 394 | lumo_mo+1,
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| 395 | ct.gamma(lumo_ir).symbol(),
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| 396 | lumo)
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| 397 | << endl;
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| 398 | }
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| 399 |
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| 400 | // free up evals
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| 401 | evals = 0;
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| 402 |
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| 403 | oso_eigenvectors_ = oso_scf_vector_;
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| 404 | oso_eigenvectors_.computed() = 1;
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| 405 | oso_eigenvectors_.set_actual_accuracy(delta);
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| 406 | // Checkpoint wavefunction, if needed, so that if converged
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| 407 | // on the last iteration then the wavefunction is marked as computed
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| 408 | if (if_to_checkpoint()) {
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| 409 | const char *checkpoint_filename = checkpoint_file();
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| 410 | std::string state_filename = checkpoint_filename;
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| 411 | free((void*)checkpoint_filename);
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| 412 | state_filename += ".tmp";
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| 413 | savestate_to_file(state_filename);
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| 414 | }
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| 415 |
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| 416 | // now clean up
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| 417 | done_vector();
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| 418 | hcore_ = 0;
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| 419 |
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| 420 | level_shift->dereference();
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| 421 | delete level_shift;
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| 422 |
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| 423 | tim_exit("vector");
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| 424 | //tim_print(0);
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| 425 |
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| 426 | return delta;
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| 427 | }
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| 428 |
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| 429 | ////////////////////////////////////////////////////////////////////////////
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| 430 |
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| 431 | class ExtrapErrorOp : public BlockedSCElementOp {
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| 432 | private:
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| 433 | SCF *scf_;
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| 434 |
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| 435 | public:
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| 436 | ExtrapErrorOp(SCF *s) : scf_(s) {}
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| 437 | ~ExtrapErrorOp() {}
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| 438 |
|
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| 439 | int has_side_effects() { return 1; }
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|---|
| 440 |
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| 441 | void process(SCMatrixBlockIter& bi) {
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|---|
| 442 | int ir=current_block();
|
|---|
| 443 |
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| 444 | for (bi.reset(); bi; bi++) {
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|---|
| 445 | int i=bi.i();
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|---|
| 446 | int j=bi.j();
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|---|
| 447 | if (scf_->occupation(ir,i) == scf_->occupation(ir,j))
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| 448 | bi.set(0.0);
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| 449 | }
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|---|
| 450 | }
|
|---|
| 451 | };
|
|---|
| 452 |
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|---|
| 453 | Ref<SCExtrapError>
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|---|
| 454 | SCF::extrap_error()
|
|---|
| 455 | {
|
|---|
| 456 | RefSymmSCMatrix mofock = effective_fock();
|
|---|
| 457 |
|
|---|
| 458 | Ref<SCElementOp> op = new ExtrapErrorOp(this);
|
|---|
| 459 | mofock.element_op(op);
|
|---|
| 460 |
|
|---|
| 461 | RefSymmSCMatrix aoerror(so_dimension(), basis_matrixkit());
|
|---|
| 462 | aoerror.assign(0.0);
|
|---|
| 463 | aoerror.accumulate_transform(so_to_orthog_so().t()*oso_scf_vector_, mofock);
|
|---|
| 464 | mofock=0;
|
|---|
| 465 |
|
|---|
| 466 | Ref<SCExtrapError> error = new SymmSCMatrixSCExtrapError(aoerror);
|
|---|
| 467 | aoerror=0;
|
|---|
| 468 |
|
|---|
| 469 | return error;
|
|---|
| 470 | }
|
|---|
| 471 |
|
|---|
| 472 | /////////////////////////////////////////////////////////////////////////////
|
|---|
| 473 |
|
|---|
| 474 | }
|
|---|
| 475 |
|
|---|
| 476 | // Local Variables:
|
|---|
| 477 | // mode: c++
|
|---|
| 478 | // c-file-style: "ETS"
|
|---|
| 479 | // End:
|
|---|