120ca87015
git-svn-id: https://free-cad.svn.sourceforge.net/svnroot/free-cad/trunk@5000 e8eeb9e2-ec13-0410-a4a9-efa5cf37419d
108 lines
3.6 KiB
C++
108 lines
3.6 KiB
C++
// Wild Magic Source Code
|
|
// David Eberly
|
|
// http://www.geometrictools.com
|
|
// Copyright (c) 1998-2007
|
|
//
|
|
// This library is free software; you can redistribute it and/or modify it
|
|
// under the terms of the GNU Lesser General Public License as published by
|
|
// the Free Software Foundation; either version 2.1 of the License, or (at
|
|
// your option) any later version. The license is available for reading at
|
|
// either of the locations:
|
|
// http://www.gnu.org/copyleft/lgpl.html
|
|
// http://www.geometrictools.com/License/WildMagicLicense.pdf
|
|
// The license applies to versions 0 through 4 of Wild Magic.
|
|
//
|
|
// Version: 4.0.0 (2006/06/28)
|
|
|
|
#ifndef WM4POLYNOMIAL1_H
|
|
#define WM4POLYNOMIAL1_H
|
|
|
|
#include "Wm4FoundationLIB.h"
|
|
#include "Wm4Math.h"
|
|
|
|
namespace Wm4
|
|
{
|
|
|
|
template <class Real>
|
|
class Polynomial1
|
|
{
|
|
public:
|
|
// construction and destruction
|
|
Polynomial1 (int iDegree = -1);
|
|
Polynomial1 (const Polynomial1& rkPoly);
|
|
~Polynomial1 ();
|
|
|
|
// member access
|
|
void SetDegree (int iDegree);
|
|
int GetDegree () const;
|
|
operator const Real* () const;
|
|
operator Real* ();
|
|
Real operator[] (int i) const;
|
|
Real& operator[] (int i);
|
|
|
|
// assignment
|
|
Polynomial1& operator= (const Polynomial1& rkPoly);
|
|
|
|
// evaluation
|
|
Real operator() (Real fT) const;
|
|
|
|
// arithmetic operations
|
|
Polynomial1 operator+ (const Polynomial1& rkPoly) const;
|
|
Polynomial1 operator- (const Polynomial1& rkPoly) const;
|
|
Polynomial1 operator* (const Polynomial1& rkPoly) const;
|
|
Polynomial1 operator+ (Real fScalar) const; // input is degree 0 poly
|
|
Polynomial1 operator- (Real fScalar) const; // input is degree 0 poly
|
|
Polynomial1 operator* (Real fScalar) const;
|
|
Polynomial1 operator/ (Real fScalar) const;
|
|
Polynomial1 operator- () const;
|
|
|
|
// arithmetic updates
|
|
Polynomial1& operator += (const Polynomial1& rkPoly);
|
|
Polynomial1& operator -= (const Polynomial1& rkPoly);
|
|
Polynomial1& operator *= (const Polynomial1& rkPoly);
|
|
Polynomial1& operator += (Real fScalar); // input is degree 0 poly
|
|
Polynomial1& operator -= (Real fScalar); // input is degree 0 poly
|
|
Polynomial1& operator *= (Real fScalar);
|
|
Polynomial1& operator /= (Real fScalar);
|
|
|
|
// derivation
|
|
Polynomial1 GetDerivative () const;
|
|
|
|
// inversion ( invpoly[i] = poly[degree-i] for 0 <= i <= degree )
|
|
Polynomial1 GetInversion () const;
|
|
|
|
// Reduce degree by eliminating all (nearly) zero leading coefficients
|
|
// and by making the leading coefficient one. The input parameter is
|
|
// the threshold for specifying that a coefficient is effectively zero.
|
|
void Compress (Real fEpsilon);
|
|
|
|
// If 'this' is P(t) and the divisor is D(t) with degree(P) >= degree(D),
|
|
// then P(t) = Q(t)*D(t)+R(t) where Q(t) is the quotient with
|
|
// degree(Q) = degree(P) - degree(D) and R(t) is the remainder with
|
|
// degree(R) < degree(D). If this routine is called with
|
|
// degree(P) < degree(D), then Q = 0 and R = P are returned. The value
|
|
// of epsilon is used as a threshold on the coefficients of the remainder
|
|
// polynomial. If smaller, the coefficient is assumed to be zero.
|
|
void Divide (const Polynomial1& rkDiv, Polynomial1& rkQuot,
|
|
Polynomial1& rkRem, Real fEpsilon) const;
|
|
|
|
protected:
|
|
int m_iDegree;
|
|
Real* m_afCoeff;
|
|
};
|
|
|
|
template <class Real>
|
|
Polynomial1<Real> operator* (Real fScalar, const Polynomial1<Real>& rkPoly);
|
|
|
|
} // namespace Wm4
|
|
|
|
#include "Wm4Polynomial1.inl"
|
|
|
|
namespace Wm4
|
|
{
|
|
typedef Polynomial1<float> Polynomial1f;
|
|
typedef Polynomial1<double> Polynomial1d;
|
|
}
|
|
|
|
#endif
|