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// Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)

#ifndef WM5INTPBICUBIC2_H
#define WM5INTPBICUBIC2_H

#include "Wm5MathematicsLIB.h"

namespace Wm5
{

template <typename Real>
class WM5_MATHEMATICS_ITEM IntpBicubic2
{
public:
    // Construction and destruction.  IntpBicubic2 does not accept
    // responsibility for deleting the input array.  The application must do
    // so.  The interpolator is for uniformly spaced (x,y)-values.  The
    // function values are assumed to be organized as f(x,y) = F[y][x].
    // Exact interpolation is achieved by setting catmullRom to 'true',
    // giving you the Catmull-Rom blending matrix.  If a smooth interpolation
    // is desired, set catmullRom to 'false' to obtain B-spline blending.

    IntpBicubic2 (int xBound, int yBound, Real xMin, Real xSpacing,
        Real yMin, Real ySpacing, Real** F, bool catmullRom);

    int GetXBound () const;
    int GetYBound () const;
    int GetQuantity () const;
    Real** GetF () const;

    Real GetXMin () const;
    Real GetXMax () const;
    Real GetXSpacing () const;
    Real GetYMin () const;
    Real GetYMax () const;
    Real GetYSpacing () const;

    // Evaluate the function and its derivatives.  The application is
    // responsible for ensuring that xmin <= x <= xmax and ymin <= y <= ymax.
    // If (x,y) is outside the extremes, the function returns MAXREAL.  The
    // first operator is for function evaluation.  The second operator is for
    // function or derivative evaluations.  The uiXOrder argument is the order
    // of the x-derivative and the uiYOrder argument is the order of the
    // y-derivative.  Both orders are zero to get the function value itself.
    Real operator() (Real x, Real y) const;
    Real operator() (int xOrder, int yOrder, Real x, Real y) const;

private:
    int mXBound, mYBound, mQuantity;
    Real mXMin, mXMax, mXSpacing, mInvXSpacing;
    Real mYMin, mYMax, mYSpacing, mInvYSpacing;
    Real** mF;
    const Real (*mBlend)[4];

    static const Real msCRBlend[4][4];
    static const Real msBSBlend[4][4];
};

typedef IntpBicubic2<float> IntpBicubic2f;
typedef IntpBicubic2<double> IntpBicubic2d;

}

#endif