PPolynomial.h

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
 
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are permitted provided that the following conditions are met:
 
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in the documentation and/or other materials provided with the distribution. 
 
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*/
 
#ifndef P_POLYNOMIAL_INCLUDED
#define P_POLYNOMIAL_INCLUDED
#include <vector>
#include "Polynomial.h"
#include "Array.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;
    Pointer( 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( Pointer( StartingPolynomial<Degree> ) sps , int count );
    void reset( size_t newSize );
    PPolynomial& compress( double delta=0. );
 
 
    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 reflect( double r=0. ) 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 ) const;
    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