spline_cubic.h

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/** @file
 *  @author Bram de Greve (bramz@users.sourceforge.net)
 *  @author Tom De Muer (tomdemuer@users.sourceforge.net)
 *
 *  *** BEGIN LICENSE INFORMATION ***
 *  
 *  The contents of this file are subject to the Common Public Attribution License 
 *  Version 1.0 (the "License"); you may not use this file except in compliance with 
 *  the License. You may obtain a copy of the License at 
 *  http://lass.sourceforge.net/cpal-license. The License is based on the 
 *  Mozilla Public License Version 1.1 but Sections 14 and 15 have been added to cover 
 *  use of software over a computer network and provide for limited attribution for 
 *  the Original Developer. In addition, Exhibit A has been modified to be consistent 
 *  with Exhibit B.
 *  
 *  Software distributed under the License is distributed on an "AS IS" basis, WITHOUT 
 *  WARRANTY OF ANY KIND, either express or implied. See the License for the specific 
 *  language governing rights and limitations under the License.
 *  
 *  The Original Code is LASS - Library of Assembled Shared Sources.
 *  
 *  The Initial Developer of the Original Code is Bram de Greve and Tom De Muer.
 *  The Original Developer is the Initial Developer.
 *  
 *  All portions of the code written by the Initial Developer are:
 *  Copyright (C) 2004-2007 the Initial Developer.
 *  All Rights Reserved.
 *  
 *  Contributor(s):
 *
 *  Alternatively, the contents of this file may be used under the terms of the 
 *  GNU General Public License Version 2 or later (the GPL), in which case the 
 *  provisions of GPL are applicable instead of those above.  If you wish to allow use
 *  of your version of this file only under the terms of the GPL and not to allow 
 *  others to use your version of this file under the CPAL, indicate your decision by 
 *  deleting the provisions above and replace them with the notice and other 
 *  provisions required by the GPL License. If you do not delete the provisions above,
 *  a recipient may use your version of this file under either the CPAL or the GPL.
 *  
 *  *** END LICENSE INFORMATION ***
 */



/** @class lass::num::Vector
 *  @brief a dynamic sized n-dimensional vector with vector expression templates
 *  @author Bram de Greve [BdG]
 */

#ifndef LASS_GUARDIAN_OF_INCLUSION_NUM_SPLINE_CUBIC_H
#define LASS_GUARDIAN_OF_INCLUSION_NUM_SPLINE_CUBIC_H

#include "num_common.h"
#include "spline.h"

namespace lass
{
namespace num
{

template 
<
    typename ScalarType,
    typename DataType,
    typename DataTraits
>
class SplineCubic: public Spline<ScalarType, DataType>
{
public:

    typedef DataTraits TDataTraits;
    typedef Spline<ScalarType, DataType> TSplineBase;
    typedef typename TSplineBase::TScalar TScalar;
    typedef typename TSplineBase::TData TData;
    typedef typename TSplineBase::ControlRange TControlRange;

    SplineCubic();
    template <typename PairInputIterator>
    SplineCubic(PairInputIterator iFirst, PairInputIterator iLast);
    template <typename ScalarInputIterator, typename DataInputIterator>
    SplineCubic(ScalarInputIterator iFirstControl, ScalarInputIterator iLastControl,
        DataInputIterator iFirstData);

    const TData operator()(TScalar iX) const;
    const TData derivative(TScalar iX) const;
    const TData derivative2(TScalar iX) const;
    const TData integral(TScalar iA, TScalar iB) const;

    const bool isEmpty() const;
    const TControlRange controlRange() const;

private:

    struct Node
    {
        TData a;
        TData b;
        TData c;
        TData d;
        TScalar x;
    };

    typedef std::vector<Node> TNodes;
    typedef typename TNodes::const_iterator TNodeConstIterator;

    void init();
    const TNodeConstIterator findNode(TScalar iX) const;

    TNodes nodes_;
    size_t dataDimension_;
};


}

}

#include "spline_cubic.inl"

#endif

// EOF