/usr/include/libwildmagic/Wm5NaturalSpline1.h is in libwildmagic-dev 5.13-1ubuntu3.
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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 WM5NATURALSPLINE1_H
#define WM5NATURALSPLINE1_H
#include "Wm5MathematicsLIB.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM NaturalSpline1
{
public:
// Construction and destruction. NaturalSpline1 accepts responsibility
// for deleting the input arrays. Each input array must have numSamples
// elements, where numSamples >= 2 is required. If f(t) is the function
// to be fit, then values[i] = f(times[i]) is the sample. The time
// samples must be increasing: times[i+1] > times[i] for all i. The
// spline curve is referred to as S(t). In the comments, tmin refers to
// times[0] and tmax refers to times[numSamples-1].
// Set free to 'true' for free splines or to 'false' for periodic
// splines. In the periodic case, the implementation uses f(tmin) for
// computing coefficients. It does not use f(tmax), which is assumed to
// be equal to f(tmin).
//
// Free: S"(tmin) = 0, S"(tmax) = 0
// Periodic: S(tmin) = S(tmax), S'(tmin) = S'(tmax), S"(tmin) = S"(tmax)
NaturalSpline1 (bool free, int numSamples, Real* times, Real* values);
// Clamped: S'(tmin) = slopeFirst, S'(tmax) = slopeLast
NaturalSpline1 (int numSamples, Real* times, Real* values,
Real slopeFirst, Real slopeLast);
~NaturalSpline1 ();
// Evaluators for S(t), S'(t), S''(t), and S'''(t).
Real GetFunction (Real t) const;
Real GetFirstDerivative (Real t) const;
Real GetSecondDerivative (Real t) const;
Real GetThirdDerivative (Real t) const;
// Access the coefficients of the polynomials.
int GetNumSegments () const;
const Real* GetA () const;
const Real* GetB () const;
const Real* GetC () const;
const Real* GetD () const;
private:
void CreateFreeSpline ();
void CreateClampedSpline (Real slopeFirst, Real slopeLast);
void CreatePeriodicSpline ();
void GetKeyInfo (Real t, int& key, Real& dt) const;
int mNumSamples, mNumSegments;
Real* mTimes;
// The cubic polynomial coefficients. All arrays have
// mNumSegments elements. The i-th polynomial is
// S_i(t) =
// mA[i] +
// mB[i]*(t - mTimes[i]) +
// mC[i]*(t - mTimes[i])^2 +
// mD[i]*(t - mTimes[i])^3
Real* mA;
Real* mB;
Real* mC;
Real* mD;
};
typedef NaturalSpline1<float> NaturalSpline1f;
typedef NaturalSpline1<double> NaturalSpline1d;
}
#endif
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