/usr/include/libwildmagic/Wm5IntpAkimaUniform3.h is in libwildmagic-dev 5.13-1ubuntu1.
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// 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 WM5INTPAKIMAUNIFORM3_H
#define WM5INTPAKIMAUNIFORM3_H
#include "Wm5MathematicsLIB.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM IntpAkimaUniform3
{
public:
// Construction and destruction. Interp3DAkimaUniform does not accept
// responsibility for deleting the input array. The application must do
// so. The interpolator is for uniformly spaced (x,y,z)-values. The
// function values are assumed to be organized as f(x,y,z) = F[z][y][x].
IntpAkimaUniform3 (int xBound, int yBound, int zBound, Real xMin,
Real xSpacing, Real yMin, Real ySpacing, Real zMin, Real zSpacing,
Real*** F);
~IntpAkimaUniform3 ();
class WM5_MATHEMATICS_ITEM Polynomial
{
public:
Polynomial ();
// P(x,y,z) = sum_{i=0}^3 sum_{j=0}^3 sum_{k=0}^3 a_{ijk} x^i y^j z^k
Real& A (int ix, int iy, int iz);
Real operator() (Real x, Real y, Real z) const;
Real operator() (int xOrder, int yOrder, int zOrder, Real x,
Real y, Real z) const;
protected:
Real mCoeff[4][4][4];
};
int GetXBound () const;
int GetYBound () const;
int GetZBound () const;
int GetQuantity () const;
Real*** GetF () const;
Polynomial*** GetPolynomials () const;
const Polynomial& GetPolynomial (int ix, int iy, int iz) const;
Real GetXMin () const;
Real GetXMax () const;
Real GetXSpacing () const;
Real GetYMin () const;
Real GetYMax () const;
Real GetYSpacing () const;
Real GetZMin () const;
Real GetZMax () const;
Real GetZSpacing () const;
// Evaluate the function and its derivatives. The application is
// responsible for ensuring that xmin <= x <= xmax, ymin <= y <= ymax,
// and zmin <= z <= zmax. If (x,y,z) 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,
// the uiYOrder argument is the order of the y-derivative, and the
// uiZOrder argument is the order of the z-derivative. All orders are
// zero to get the function value itself.
Real operator() (Real x, Real y, Real z) const;
Real operator() (int xOrder, int yOrder, int zOrder, Real x,
Real y, Real z) const;
private:
Real ComputeDerivative (Real* slope) const;
void Construct (Polynomial& poly, Real F[2][2][2], Real FX[2][2][2],
Real FY[2][2][2], Real FZ[2][2][2], Real FXY[2][2][2],
Real FXZ[2][2][2], Real FYZ[2][2][2], Real FXYZ[2][2][2]);
bool XLookup (Real x, int& xIndex, Real& dx) const;
bool YLookup (Real y, int& yIndex, Real& dy) const;
bool ZLookup (Real z, int& zIndex, Real& dz) const;
int mXBound, mYBound, mZBound, mQuantity;
Real*** mF;
Polynomial*** mPoly;
Real mXMin, mXMax, mXSpacing;
Real mYMin, mYMax, mYSpacing;
Real mZMin, mZMax, mZSpacing;
private:
// These methods exist to split up the constructor into chunks of code
// that compile quickly.
Real*** GetFX ();
Real*** GetFY ();
Real*** GetFZ ();
Real*** GetFXY ();
Real*** GetFXZ ();
Real*** GetFYZ ();
Real*** GetFXYZ ();
void GetPolynomials (Real*** FX, Real*** FY, Real*** FZ,
Real*** FXY, Real*** FXZ, Real*** FYZ,
Real*** FXYZ);
};
typedef IntpAkimaUniform3<float> IntpAkimaUniform3f;
typedef IntpAkimaUniform3<double> IntpAkimaUniform3d;
}
#endif
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