poly.h

多项式与常数和多项式之间的加减乘除等运算

//////////////////////////////////////////////////////////////////////
//
// poly.h: interface for the poly class.
//
//////////////////////////////////////////////////////////////////////

#if !defined(AFX_POLY_H__6B123B67_B2C9_5F43_1934_00F0B03A_00__INCLUDED_)
#define AFX_POLY_H__6B123B67_B2C9_5F43_1934_00F0B03A_00__INCLUDED_

#if _MSC_VER > 1000
#pragma once
#endif // _MSC_VER > 1000

typedef enum {allocFail, invalidCoefficient} exceptions;

class poly  
{
public:

	//constructor and destructors
	poly(int inSize=1);
	poly(int inSize, double values[]);	// NOTE:highest coefficient first
										// for 'natural' format
	poly(poly &orig);
	virtual ~poly();

	//getter functions or accessor functions
	void setCoef(int term, double value);
	double getCoef(int term);
	int getSize() ;

	// overloaded binary operators for class poly
	poly operator+(const poly &p);
	poly operator*(const poly &p);
	poly operator/(const poly &p);
	poly operator+(double value);
	poly operator-(double value);
	poly operator-(const poly &p);
	poly operator*(double value);
	poly operator/(double value);
	poly &operator=(const poly &p);

	//friend functions for symmetrical operations with doubles
	friend poly operator*(double value, const poly &p);
	friend poly operator+(double value, const poly &p);
	friend poly operator-(double value, const poly &p);


	// overloaded unary operators
	poly operator-();			//inverse
	poly operator+();			//identity

	// overloaded subscript access operator
	double &operator[](int term);

	//utility functions
	float evaluate(float);
	poly integrate();
	poly differenciate();
	poly normalise();
	int checkZero();
	void zero();
	void clean();
	//promote and demote degree of poly 
	poly proP(int value);
	poly demP(int value);

	// print
	void print();
	void fullPrint();


protected:
	double *data;
	int size;
};

#endif // !defined(AFX_POLY_H__6B123B67_B2C9_5F43_1934_00F0B03A_00__INCLUDED_)