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/****************************************************************************
**
** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies).
** Contact: Nokia Corporation (qt-info@nokia.com)
**
** This file is part of the QtGui module of the Qt Toolkit.
**
** $QT_BEGIN_LICENSE:LGPL$
** No Commercial Usage
** This file contains pre-release code and may not be distributed.
** You may use this file in accordance with the terms and conditions
** contained in the Technology Preview License Agreement accompanying
** this package.
**
** GNU Lesser General Public License Usage
** Alternatively, this file may be used under the terms of the GNU Lesser
** General Public License version 2.1 as published by the Free Software
** Foundation and appearing in the file LICENSE.LGPL included in the
** packaging of this file.  Please review the following information to
** ensure the GNU Lesser General Public License version 2.1 requirements
** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
**
** In addition, as a special exception, Nokia gives you certain
** additional rights.  These rights are described in the Nokia Qt LGPL
** Exception version 1.1, included in the file LGPL_EXCEPTION.txt in this
** package.
**
** If you have questions regarding the use of this file, please contact
** Nokia at qt-info@nokia.com.
**
**
**
**
**
**
**
**
** $QT_END_LICENSE$
**
****************************************************************************/

#ifndef QSIMPLEX_P_H
#define QSIMPLEX_P_H

//
//  W A R N I N G
//  -------------
//
// This file is not part of the Qt API.  It exists purely as an
// implementation detail.  This header file may change from version to
// version without notice, or even be removed.
//
// We mean it.
//

#include <QtCore/qhash.h>
#include <QtCore/qpair.h>

QT_BEGIN_NAMESPACE

struct QSimplexVariable
{
    QSimplexVariable() : result(0), index(0) {}

    qreal result;
    uint index;
};


/*!
  \internal

  Representation of a LP constraint like:

    (c1 * X1) + (c2 * X2) + ...  =  K
                             or <=  K
                             or >=  K

    Where (ci, Xi) are the pairs in "variables" and K the real "constant".
*/
struct QSimplexConstraint
{
    QSimplexConstraint() : constant(0), ratio(Equal), artificial(0) {}

    enum Ratio {
        LessOrEqual = 0,
        Equal,
        MoreOrEqual
    };

    QHash<QSimplexVariable *, qreal> variables;
    qreal constant;
    Ratio ratio;

    QPair<QSimplexVariable *, qreal> helper;
    QSimplexVariable * artificial;
};


class QSimplex
{
public:
    QSimplex();
    virtual ~QSimplex();

    qreal solveMin();
    qreal solveMax();
    QList<QSimplexVariable *> constraintsVariables();

    void setConstraints(const QList<QSimplexConstraint *> constraints);
    void setObjective(QSimplexConstraint *objective);

    void dumpMatrix();

private:
    // Matrix handling
    qreal valueAt(int row, int column);
    void setValueAt(int row, int column, qreal value);
    void clearRow(int rowIndex);
    void clearColumns(int first, int last);
    void combineRows(int toIndex, int fromIndex, qreal factor);

    // Simplex
    int findPivotColumn();
    int pivotRowForColumn(int column);
    void reducedRowEchelon();
    bool iterate();

    // Helpers
    void clearDataStructures();
    void solveMaxHelper();
    enum solverFactor { Minimum = -1, Maximum = 1 };
    qreal solver(solverFactor factor);
    void collectResults();

    QList<QSimplexConstraint *> constraints;
    QList<QSimplexVariable *> variables;
    QSimplexConstraint *objective;

    int rows;
    int columns;
    int firstArtificial;

    qreal *matrix;
};

inline QList<QSimplexVariable *> QSimplex::constraintsVariables()
{
    return variables;
}

inline qreal QSimplex::valueAt(int rowIndex, int columnIndex)
{
    return matrix[rowIndex * columns + columnIndex];
}

inline void QSimplex::setValueAt(int rowIndex, int columnIndex, qreal value)
{
    matrix[rowIndex * columns + columnIndex] = value;
}

QT_END_NAMESPACE

#endif // QSIMPLEX_P_H