PPolynomial.h

/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.

Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:

Redistributions of source code must retain the above copyright notice, this list of
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the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution. 

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may be used to endorse or promote products derived from this software without specific
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*/

#ifndef P_POLYNOMIAL_INCLUDED
#define P_POLYNOMIAL_INCLUDED
#include <vector>
#include "Polynomial.h"

template<int Degree>
class StartingPolynomial{
public:
  Polynomial<Degree> p;
  double start;

  template<int Degree2>
  StartingPolynomial<Degree+Degree2>  operator * (const StartingPolynomial<Degree2>& p) const;
  StartingPolynomial scale(double s) const;
  StartingPolynomial shift(double t) const;
  int operator < (const StartingPolynomial& sp) const;
  static int Compare(const void* v1,const void* v2);
};

template<int Degree>
class PPolynomial
{
public:
  size_t polyCount;
  StartingPolynomial<Degree>* polys;

  PPolynomial(void);
  PPolynomial(const PPolynomial<Degree>& p);
  ~PPolynomial(void);

  PPolynomial& operator = (const PPolynomial& p);

  int size(void) const;

  void set( size_t size );
  // Note: this method will sort the elements in sps
  void set( StartingPolynomial<Degree>* sps , int count );
  void reset( size_t newSize );


  double operator()( double t ) const;
  double integral( double tMin , double tMax ) const;
  double Integral( void ) const;

  template<int Degree2>
  PPolynomial<Degree>& operator = (const PPolynomial<Degree2>& p);

  PPolynomial  operator + (const PPolynomial& p) const;
  PPolynomial  operator - (const PPolynomial& p) const;

  template<int Degree2>
  PPolynomial<Degree+Degree2> operator * (const Polynomial<Degree2>& p) const;

  template<int Degree2>
  PPolynomial<Degree+Degree2> operator * (const PPolynomial<Degree2>& p) const;


  PPolynomial& operator += ( double s );
  PPolynomial& operator -= ( double s );
  PPolynomial& operator *= ( double s );
  PPolynomial& operator /= ( double s );
  PPolynomial  operator +  ( double s ) const;
  PPolynomial  operator -  ( double s ) const;
  PPolynomial  operator *  ( double s ) const;
  PPolynomial  operator /  ( double s ) const;

  PPolynomial& addScaled(const PPolynomial& poly,double scale);

  PPolynomial scale( double s ) const;
  PPolynomial shift( double t ) const;

  PPolynomial< Degree-1 > derivative(void) const;
  PPolynomial< Degree+1 > integral(void) const;

  void getSolutions(double c,std::vector<double>& roots,double EPS,double min=-DBL_MAX,double max=DBL_MAX) const;

  void printnl( void ) const;

  PPolynomial< Degree+1 > MovingAverage( double radius );
  static PPolynomial BSpline( double radius=0.5 );

  void write( FILE* fp , int samples , double min , double max ) const;
};
#include "PPolynomial.inl"
#endif // P_POLYNOMIAL_INCLUDED