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simplex_program.hpp
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/* =============================================================================
Copyright (c) 2014-2017 F. Georget <fabieng@princeton.edu> Princeton University
Copyright (c) 2017-2019 F. Georget <fabien.georget@epfl.ch> EPFL
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
1. Redistributions of source code must retain the above copyright notice,
this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice,
this list of conditions and the following disclaimer in the documentation
and/or other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its
contributors may be used to endorse or promote products derived from this
software without specific prior written permission.
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
============================================================================= */
//! \file simplex/simplex_program.hpp
//! \brief Base class for a simplex program
#ifndef SPECMICP_COMMON_SIMPLEX_PROGRAM_HPP
#define SPECMICP_COMMON_SIMPLEX_PROGRAM_HPP
#include "specmicp_common/types.hpp"
namespace specmicp {
namespace simplex {
//! \brief Base class for a simplex program
//!
//! Uses the CRTP.
//!
//! \f[ \mathrm{min} c^T \cdot x \f]
//! \f[ \mathrm{s.t.} A\cdot x = b
template <class Derived>
class SimplexProgram {
public:
using BasisType = Eigen::Matrix<index_t, Eigen::Dynamic, 1>; // always the case for now
using MatrixType = Matrix;
//! \brief Number of equalities constraints
index_t nb_equalities() const {
return derived()->nb_equalities_impl();
}
//! \brief Number of variables
index_t nb_variables() const {
return derived()->nb_variables_impl();
}
//! \brief Number of non zero variables
index_t size_B() const {
return nb_equalities();
}
//! \brief Number of zero variables
index_t size_N() const {
return nb_variables()-size_B();
}
//! \brief Fill the starting guess
//!
//! As B assumed to be the identity value, set the value to b
void get_starting_guess(Eigen::Ref<Vector> m_xB) {
derived()->get_starting_guess_impl(m_xB);
}
//! \brief Coefficients of the objective functions
void get_cB(Eigen::Ref<Vector> cB) {
derived()->get_cB_impl(cB);
}
//! \brief compute the \f$s_N\f$ vector
//!
//! \f[ c_N - N^T \cdot \lambda \f]
void compute_sN(
const Eigen::Ref<const BasisType>& Nbasis,
const Eigen::Ref<const Vector>& lambda,
Eigen::Ref<Vector> sN
)
{
derived()->compute_sN_impl(Nbasis, lambda, sN);
}
//! \brief Return \f$A(:,q)\f$
void fill_Aq(
const Eigen::Ref<const BasisType>& Nbasis,
Eigen::Ref<Vector> Aq,
index_t q
)
{
derived()->fill_Aq_impl(Nbasis, Aq, q);
}
//! \brief Return the coefficient of the objective function corresponding to q
scalar_t cN_q(
const Eigen::Ref<const BasisType>& Nbasis,
index_t q) {
return derived()->cN_q_impl(Nbasis, q);
}
private:
//! \brief Return the derived class
Derived* derived() {
return static_cast<Derived*>(this);
}
//! \brief Return a const pointer to the derived class
const Derived* const derived() const {
return static_cast<const Derived* const>(this);
}
};
}
}
#endif // SPECMICP_COMMON_SIMPLEX_PROGRAM_HPP

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