#include <iostream>
using namespace std;
//稀疏多项式的运算
/*
Ax = 7 + 3x + 9x^8 + 5x^17
Bx = 8x + 22x^7 - 9x^8
*/
typedef struct Pnode
{
float coef; //系数
int expn; //指数
struct Pnode* next;
} Pnode, *Polynomial;
void createPolyn(Polynomial& L, int n)
{
L = new Pnode; //在堆区创建一个链表
L->next = NULL;
for (int i = 0; i < n; i++)
{
Polynomial s = new Pnode; //生成新结点
cin >> s->coef >> s->expn;
Pnode* p, * q;
p = L;
q = p->next;
while (q && q->expn < s->expn)
{
p = q;
q = q->next;
}
s->next = q;
p->next = s;
}
}
void AddPolyn(Polynomial& L1, Polynomial &L2)
{
Pnode* p1, * p2, *p3, *r;
p1 = L1->next;
p2 = L2->next;
p3 = L1;
while (p1 && p2)
{
if (p1->expn == p2->expn)
{
p1->coef += p2->coef;
if (p1->coef != 0)
{
p3->next = p1;
p3 = p1;
p1 = p1->next;
r = p2;
p2 = p2->next;
delete r;
}
else
{
r = p1;
p1 = p1->next;
delete r;
r = p2;
p2 = p2->next;
delete r;
}
}
else if (p1->expn < p2->expn)
{
p3->next = p1;
p3 = p1;
p1 = p1->next;
}
else
{
p3->next = p2;
p3 = p2;
p2 = p2->next;
}
}
p3->next = p1 ? p1 : p2;
delete L2;
}
void printPolyn(Polynomial& L1)
{
Pnode* p;
p = L1->next;
while (p)
{
cout << "coef:" << p->coef << "\texpn:" << p->expn << endl;
p = p->next;
}
}
int main(void)
{
Polynomial L1, L2;
cout << "请输入第一个多项式:" << endl;
createPolyn(L1, 4);
cout << "您输入的第一个多项式为:" << endl;
printPolyn(L1);
cout << "请输入第二个多项式:" << endl;
createPolyn(L2, 3);
cout << "您输入的第二个多项式为:" << endl;
printPolyn(L2);
cout << "两个多项式相加后:" << endl;
AddPolyn(L1, L2);
printPolyn(L1);
system("pause");
return 0;
}