/usr/include/libwildmagic/Wm5ApprPolynomialFit4.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: 5.2.1 (2010/10/01)
#ifndef WM5APPRPOLYNOMIALFIT4_H
#define WM5APPRPOLYNOMIALFIT4_H
#include "Wm5MathematicsLIB.h"
#include "Wm5Tuple.h"
namespace Wm5
{
// Fit the data with a polynomial of the form
// w = sum_{i=0}^{n-1} c[i]*x^{p[i]}*y^{q[i]}*z^{r[i]}
// where <p[i],q[i],r[i]> are distinct triples of nonnegative powers provided
// by the caller. A least-squares fitting algorithm is used, but the input
// data is first mapped to (x,y,z,w) in [-1,1]^4 for numerical robustness.
template <typename Real>
class WM5_MATHEMATICS_ITEM PolynomialFit4
{
public:
// Construction and destruction. The first constructor is for data of the
// form (x[i],y[i],z[i],w[i]), where 0 <= i < numSamples. The second
// constructor is for gridded data of the form (x[i],y[j],z[k],w[m]),
// where 0 <= i < numXSamples, 0 <= j < numYSamples, 0 <= k < numZSamples,
// and m = i + numXSamples*(j + numYSamples*k).
PolynomialFit4 (int numSamples, const Real* xSamples,
const Real* ySamples, const Real* zSamples, const Real* wSamples,
int numPowers, const Tuple<3,int>* powers);
PolynomialFit4 (int numXSamples, int numYSamples, int numZSamples,
const Real* xSamples, const Real* ySamples, const Real* zSamples,
const Real* wSamples, int numPowers, const Tuple<3,int>* powers);
virtual ~PolynomialFit4 ();
// This is a function class that returns 'true' iff the linear system
// solver was successful. If it is not successful, then the polynomial
// evaluation is invalid and always returns zero.
operator bool () const;
// Member access.
Real GetXMin () const;
Real GetXMax () const;
Real GetYMin () const;
Real GetYMax () const;
Real GetZMin () const;
Real GetZMax () const;
Real GetWMin () const;
Real GetWMax () const;
// Evaluation of the fitted polynomial. A derived class may override this
// to implement an efficient method based on knowledge about the specific
// powers passed to the constructor.
virtual Real operator() (Real x, Real y, Real z) const;
protected:
// Support for construction.
void InitializePowers (int numPowers, const Tuple<3,int>* powers);
void TransformToUnit (int numSamples, const Real* srcSamples[4],
Real* trgSamples[4]);
void DoLeastSquaresFit (int numSamples, Real* trgSamples[4]);
int mNumPowers;
Tuple<3,int>* mPowers;
int mMaxXPower, mMaxYPower, mMaxZPower;
mutable Real* mXPowers;
mutable Real* mYPowers;
mutable Real* mZPowers;
Real mMin[4], mMax[4], mScale[4], mInvTwoWScale;
Real* mCoefficients;
bool mSolved;
};
}
#endif
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