Program Listing for File mathopt.h

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/* #############################################
 *             This file is part of
 *                    ZERO
 *
 *             Copyright (c) 2020
 *     Released under the Creative Commons
 *         CC BY-NC-SA 4.0 License
 *
 *              Find out more at
 *        https://github.com/ds4dm/ZERO
 * #############################################*/


#pragma once

#include "zero.h"
#include <armadillo>
#include <iostream>
#include <memory>
#include <set>
#include <string>

namespace MathOpt {

  typedef struct QP_Objective {
     arma::sp_mat Q;
     arma::sp_mat C;
     arma::vec    d;
     arma::vec    c;
  } QP_objective;
  typedef struct QP_Constraints {
     arma::sp_mat A, B;
     arma::vec    b;
  } QP_constraints;


  unsigned int convexHull(const std::vector<arma::sp_mat *> *Ai,
                                  const std::vector<arma::vec *> *   bi,
                                  arma::sp_mat &                     A,
                                  arma::vec &                        b,
                                  const arma::sp_mat&                       Acom = {},
                                  const arma::vec&                          bcom = {});

  void compConvSize(arma::sp_mat &                     A,
                          unsigned int                       nFinCons,
                          unsigned int                       nFinVar,
                          const std::vector<arma::sp_mat *> *Ai,
                          const std::vector<arma::vec *> *   bi,
                          const arma::sp_mat &               Acom,
                          const arma::vec &                  bcom);

  void getDualMembershipLP(std::unique_ptr<GRBModel> &convexModel,
                                    unsigned int &             numV,
                                    const arma::sp_mat &       V,
                                    unsigned int &             numR,
                                    const arma::sp_mat &       R,
                                    const arma::vec &          vertex,
                                    bool                       containsOrigin);


  void getPrimalMembershipLP(std::unique_ptr<GRBModel> &convexModel,
                           unsigned int &             numV,
                           const arma::sp_mat &       V,
                           unsigned int &             numR,
                           const arma::sp_mat &       R,
                           const arma::vec &          vertex,
                           bool                       containsOrigin);

  void print(const perps &C) noexcept;
} // namespace MathOpt

#include "lcp/lcp.h"
#include "mathopt/mp_param/mp_param.h"