数据结构复习2 顺序表和链表应用

本文深入探讨了顺序表与链式表的合并算法,以及多项式的加法运算实现。通过C++代码详细解析了不同数据结构间的操作逻辑,包括元素比较、插入与合并过程,为读者提供了理解和应用复杂数据结构的基础。

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顺序表合并.cpp

/* OrderList Union.cpp */
void MergeList_Order(OrderList<T> &la,OrderList<T> &lb,OrderList<T> &l){
	int pa=0,pb=0,pc=0;
	l.capcacity=la.capacity+lb.capacity;
	l.last=la.last+lb.last;
	l.elem=new T[l.capacity];
	//elem push
	while((pa<=la.last)&&(pb<=la.last)){
		if(la.elem[pa]>lb.elem[pb]){
			l.elem[pc]=l.elem[pb];
			pc++;
			pb++;
		}
		else(lb.elem[pb]>la.elem[pa]){
			l.elem[pc]=l.elem[pa];
			pc++;
			pa++;
		}
	}
	//another elem push
	if(pa>la.last){
		for(int i=lb.last-pb;i<=lb.last;i++){
			l.elem[i]=lb.elem[i];
		}
	}
	if(pb>lb.last){
		for(int i=la.last-pa;i<=la.last;i++){
			l.elem[i]=lb.elem[i];
		}
	}
}

链式表合并.cpp

/* LinkList Union */
void MergeList_link(LinkList<T> &l1,LinkList<T> &l2,LinkList<T> &l){
	if(l1.IsEmpty()){
		l=l2;
		return;
	}
	if(l2.IsEmpty()){
		l=l1;
		return;
	}
	if(l1.IsEmpty()&&l2.IsEmpty())
		return;
		
	LinkNode<T> p1=l1.first->link;
	LinkNode<T> p2=l2.first->link;
	LinkNode<T> p=l.first;


	while(p1!=NULL && p2!=NULL){
		if(p1.elem>p2.elem){
			p->link=new LinkNode<T>(p2.elem,NULL);
			p=p->link;
			p2=p2->link;
		}
		else(p1.elem<p2.elem){
			p->link=new LinkNode<T>(p1.elem,NULL);
			p=p->link;
			p1=p1->link;
		}
	}
	if(p1==NULL){
		while(p2!=NULL){
			p->link=new LinkNode<T>(p2.elem,NULL);
			p=p->link;
			p2=p2->link;
		}
	}else{
		while(p1!=NULL){
			p->link=new LinkNode<T>(p1.elem,NULL);
			p=p->link;
			p1=p1->link;
		}
	}
	
}

多项式.h和多项式.cpp

/* polynomial.h */
#ifndef POLYNOMIAL_H
#define POLYNOMIAL_H
#include<iostream.h>

struct Term{
	float coef;
	int exp;
	Term *link;
	Term(float c,int e,Term *l=NULL){
		coef=c;exp=e;link=l;
	}
	Term* InsertAfter(float c,int e);
	friend ostream& operator<<(ostream& ,const Term&);
};

class Polynomial{
	public:
	Polynomial(){first=new Term(0,-1);}
	Polynomial(Polynomial &p);
	int maxOrder();
	Term* getHead()const{return first;}
	Term* first;
	friend ostream& operator<<(ostream& ,const Polynomial&);
	friend istream& operator>>(istream& ,Polynomial&);
	friend Polynomial operator+(Polynomial&,Polynomial&);
	friend Polynomial operator*(Polynomial&,Polynomial&);
	
}
#endif
/* polynomial.cpp */
#include<iostream.h>
#include"polynomial.h"

using namespace std;
Term* Term::InsertAfter(float c,int e){
	link=new Term(c,e,NULL);
	return link;
}

ostream& operator<<(ostream& out,const Term& t){
	if(t.coef ==0.0) return out;
	out << t.coef;
	switch(t.exp){
		case 0:break;
		case 1:out<<"X";break;
		default:out<<"X-"<<t.exp;break;
	}
	return out;
}

Polynomial::Polynomial(Polynomial &p){
	first=new Term(0,-1);
	Term* dest=first;
	Term* src=p.first;
	while(src!=NULL){
		dest->InsertAfter(src->coef,src->exp,NULL);
		src=src->link;
		dest=dest->link;
	}
}

/* Polynomial(){first=new Term(0,-1);}
	Polynomial(Polynomial &p);
	int maxOrder();
	Term* getHead()const{return first;}
	Term* first;
	friend ostream& operator<<(ostream& ,const Polynomial&);
	friend istream& operator>>(istream& ,Polynomial&);
	friend Polynomial operator+(Polynomial&,Polynomial&);
	friend Polynomial operator*(Polynomial&,Polynomial&);
	*/
	

/* struct Term{
	float coef;
	int exp;
	Term *link;
	Term(float c,int e,Term *l=NULL){
		coef=c;exp=e;link=l;
	}
	Term* InsertAfter(float c,int e);
	friend ostream& operator<<(ostream& ,const Term&);
}; */


int Polynomial::maxOrder(){
	//the final exp is highest exp
	Term* p=first;
	while(p->link!=NULL){
		p=p->link;
	}
	return p->coef;
}

ostream& Polynomial::operator<<(ostream &out ,const Polynomial &p){
	Term* p=first->link;
	bool h=true;
	while(p!=NULL){
		if(h==false&&p->coef>0.0)
			cout<<"+";
		h=false;
		out<<*p;
		p=p->link;
	}
	out<<endl;
	return out;
}

istream& Polynomial::operator>>(istream &in ,Polynomial &p){
	Term* p=first->link;
	int c,e;
	while(true){
		in>>c;in>>e;
		if(e<0)
			break;
		p=p->InsertAfter(c,e,NULL);
	}
	return in;
}

Polynomial Polynomial::operator+(Polynomial &x1,Polynomial &x2){
	Term *p1=x1.first->link;
	Term *p2=x2.first->link;
	Polynomial x;
	Term* p=x.first;
	float temp;
	while(p1!=NULL && p2!=NULL){
		if(p1->exp==p2->exp){
			temp=p1->coef+p2->coef;
			if(fabs(temp)>0.001)
				p=p->InsertAfter(temp,p1->exp);
			p1=p1->link;
			p2=p2->link;
		}else if(p1->exp<p2->exp){
			p=p->InsertAfter(p1->coef,p1->exp);
			p1=p1->link;
		}else{
			p=p->InsertAfter(p2->coef,p2->exp);
			p2=p2->link;			
		}
	}
}


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