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// Copyright (c) 1997-2007 ETH Zurich (Switzerland). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/QP_solver/include/CGAL/QP_solver/QP_partial_filtered_pricing.h $ // $Id: include/CGAL/QP_solver/QP_partial_filtered_pricing.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Sven Schoenherr // Bernd Gaertner // Franz Wessendorp // Kaspar Fischer #ifndef CGAL_QP_PARTIAL_FILTERED_PRICING_H #define CGAL_QP_PARTIAL_FILTERED_PRICING_H #include // MSVC detection #include // includes #include #include // MSVC complains about inheritance through dominance when only one // base implements virtual functions from the top of the diamond. #if defined(BOOST_MSVC) # pragma warning(push) # pragma warning(disable:4250) #endif namespace CGAL { // ================= // class declaration // ================= template < typename Q, typename ET, typename Tags, class NT_ = double, class ET2NT_ = To_double > class QP_partial_filtered_pricing; // =============== // class interface // =============== template < typename Q, typename ET, typename Tags, class NT_, class ET2NT_ > class QP_partial_filtered_pricing : public QP__partial_base , public QP__filtered_base { // self typedef QP_pricing_strategy Base; typedef QP__partial_base Partial_base; typedef QP__filtered_base Filtered_base; typedef QP_partial_filtered_pricing Self; // types from the base class typedef typename Tags::Is_nonnegative Is_nonnegative; typedef typename Partial_base::Index_iterator Index_iterator; typedef typename Partial_base::Index_const_iterator Index_const_iterator; using Base::price_dantzig; using Base::is_improving; public: // number type typedef NT_ NT; typedef ET2NT_ ET2NT; // creation QP_partial_filtered_pricing( bool randomize = false, Random& random = get_default_random(), ET2NT et2nt = ET2NT()); // operations int pricing(int& direction ); void init( ); void transition( ); // cleanup ~QP_partial_filtered_pricing() {}; private: int pricing_helper(int& direction, Tag_true /*is_in_standard_form*/); int pricing_helper(int& direction, Tag_false /*is_in_standard_form*/); }; // ---------------------------------------------------------------------------- // ============================= // class implementation (inline) // ============================= // construction template < typename Q, typename ET, typename Tags, class NT_, class ET2NT_ > inline QP_partial_filtered_pricing:: QP_partial_filtered_pricing( bool randomize, Random& random, ET2NT et2nt) : Base( "partial filtered"), Partial_base( randomize, random), Filtered_base( et2nt) { } // operations template < typename Q, typename ET, typename Tags, class NT_, class ET2NT_ > inline void QP_partial_filtered_pricing:: init( ) { Partial_base::init(); Filtered_base::init(); } template < typename Q, typename ET, typename Tags, class NT_, class ET2NT_ > inline void QP_partial_filtered_pricing:: transition( ) { Partial_base::transition(); Filtered_base::transition(); } template < typename Q, typename ET, typename Tags, class NT_, class ET2NT_ > int QP_partial_filtered_pricing:: pricing(int& direction ) { return (pricing_helper(direction, Is_nonnegative())); } template < typename Q, typename ET, typename Tags, class NT_, class ET2NT_ > int QP_partial_filtered_pricing:: pricing_helper(int& /*direction*/, Tag_true /*is_in_standard_form*/ ) { // initialize filtered computation this->init_NT(); // loop over all active non-basic variables CGAL_qpe_debug { this->vout() << "active variables:" << std::endl; } Index_const_iterator it, min_it; NT mu, min_mu = this->nt0; for ( it = this->active_set_begin(); it != this->active_set_end(); ++it) { // don't price artificial variables if (this->solver().is_artificial( *it) || this->solver().is_basic( *it)) // added by kf continue; // compute mu_j mu = this->mu_j_NT( *it); CGAL_qpe_debug { this->vout() << " mu_" << *it << " [NT]: " << mu << std::endl; } // new minimum? if ( mu < min_mu) { min_it = it; min_mu = mu; } } // exact check of entering variable if ( min_mu < this->nt0) { if ( this->mu_j( *min_it) >= this->et0) { // exact check failed! CGAL_qpe_debug { this->vout() << "--> exact check of entering variable failed!" << std::endl; } // reject entering variable min_mu = this->nt0; } } else { CGAL_qpe_debug { this->vout() << "--> no entering variable found yet" << std::endl; } } // no entering variable found so far? if ( ( min_mu == this->nt0) && ( this->inactive_set_begin() < this->inactive_set_end())) { // loop over all inactive non-basic variables CGAL_qpe_debug { this->vout() << "inactive variables:" << std::endl; } Index_const_iterator active_it; for ( it = this->inactive_set_begin(); it != this->inactive_set_end(); ++it) { // don't price artificial variables if (this->solver().is_artificial( *it)) continue; // compute mu_j mu = this->mu_j_NT( *it); CGAL_qpe_debug { this->vout() << " mu_" << *it << " [NT]: " << mu << std::endl; } // candidate for entering? if ( mu < this->nt0) { // make variable active active_it = it; this->activating( active_it); // new minimum? if ( mu < min_mu) { min_it = active_it; min_mu = mu; } } } // exact check of entering variable if ( min_mu < this->nt0) { if ( this->mu_j( *min_it) >= this->et0) { // exact check failed! CGAL_qpe_debug { this->vout() << "--> exact check of entering variable failed!" << std::endl; } // reject entering variable min_mu = this->nt0; } } else { CGAL_qpe_debug { this->vout() << "--> still no entering variable found" << std::endl; } } } // certify non-existence of entering variable, if necessary if ( min_mu == this->nt0) { // update row and column maxima this->update_maxima(); // loop over all non-basic variables again for ( it = this->active_set_begin(); it != this->inactive_set_end(); ++it) { // don't price artificial variables if (this->solver().is_artificial( *it)) continue; // certify 'mu_j >= 0' if ( ! this->certify_mu_j_NT( *it)) { // entering variable missed by inexact arithmetic min_it = it; break; } } } CGAL_qpe_debug { this->vout() << std::endl; } // return index of entering variable, if any if ( min_mu < this->nt0) { int j = *min_it; this->entering_basis( min_it); return j; } // no entering variable found return -1; } template < typename Q, typename ET, typename Tags, class NT_, class ET2NT_ > int QP_partial_filtered_pricing:: pricing_helper(int& direction, Tag_false /*is_in_standard_form*/ ) { // initialize filtered computation this->init_NT(); // loop over all active non-basic variables CGAL_qpe_debug { this->vout() << "active variables:" << std::endl; } Index_const_iterator it, min_it; int min_j = -1; NT mu, min_mu = this->nt0; for ( it = this->active_set_begin(); it != this->active_set_end(); ++it) { // don't price artificial variables if (this->solver().is_artificial( *it) || this->solver().is_basic( *it)) // added by kf continue; // compute mu_j mu = this->mu_j_NT( *it); if (price_dantzig (*it, mu, this->nt0, min_j, min_mu, direction)) min_it = it; } if ( min_j >= 0 ) { // exact check; do we really have an entering variable if ( !this->is_improving(min_j, this->mu_j( min_j), this->et0)) { // exact check failed! CGAL_qpe_debug { this->vout() << "--> exact check of entering variable failed!" << std::endl; } // reject entering variable min_j = -1; min_mu = this->nt0; } } else { CGAL_qpe_debug { this->vout() << "--> no entering variable found yet" << std::endl; } } // no entering variable found so far? if ( ( min_j == -1) && ( this->inactive_set_begin() < this->inactive_set_end())) { // loop over all inactive non-basic variables CGAL_qpe_debug { this->vout() << "inactive variables:" << std::endl; } Index_const_iterator active_it; for ( it = this->inactive_set_begin(); it != this->inactive_set_end(); ++it) { // don't price artificial variables if (this->solver().is_artificial( *it)) continue; // compute mu_j mu = this->mu_j_NT( *it); CGAL_qpe_debug { this->vout() << " mu_" << *it << " [NT]: " << mu << std::endl; } // candidate for entering? if (is_improving(*it, mu, this->nt0)) { // make variable active active_it = it; this->activating( active_it); // new minimum if (price_dantzig (*active_it, mu, this->nt0, min_j, min_mu, direction)) min_it = active_it; } } if ( min_j >= 0) { // exact check of entering variable if (!this->is_improving(min_j, this->mu_j( min_j), this->et0)) { // exact check failed! CGAL_qpe_debug { this->vout() << "--> exact check of entering variable failed!" << std::endl; } // reject entering variable min_j = -1; min_mu = this->nt0; } } else { CGAL_qpe_debug { this->vout() << "--> still no entering variable found" << std::endl; } } } // certify non-existence of entering variable, if necessary if ( min_j == -1) { // update row and column maxima this->update_maxima(); // loop over all non-basic variables again for ( it = this->active_set_begin(); it != this->inactive_set_end(); ++it) { // don't price artificial variables if (this->solver().is_artificial( *it)) continue; if ( ! this->certify_mu_j_NT( *it)) { // entering variable missed by inexact arithmetic min_j = *it; min_it = it; break; } } } CGAL_qpe_debug { this->vout() << std::endl; } // return index of entering variable, if any if ( min_j >= 0) { CGAL_qpe_assertion(min_j == *min_it); this->entering_basis( min_it); return min_j; } // no entering variable found return -1; } } //namespace CGAL #if defined(BOOST_MSVC) # pragma warning(pop) #endif #endif // CGAL_QP_PARTIAL_FILTERED_PRICING_H // ===== EOF ==================================================================