第四周-项目五-多项式求和

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*计算机控制工程学院*姓名:陈飞*班级:计156-2问题及代码:#include <stdio.h>   #include <malloc.h>   #define MAX 20          //多项式最多项数   typedef struct      //定义存放多项式的数组类型   {      double coef;        //系数     int exp;            //指数   } PolyArray;    typedef struct pnode    //定义单链表结点类型,保存多项式中的一项,链表构成多项式   {     double coef;        //系数      int exp;            //指数      struct pnode *next;  } PolyNode;   void DispPoly(PolyNode *L)  //输出多项式   {      bool first=true;        //first为true表示是第一项       PolyNode *p=L->next;     while (p!=NULL)      {         if (first)            first=false;         else if (p->coef>0)            printf("+");          if (p->exp==0)              printf("%g",p->coef);         else if (p->exp==1)             printf("%gx",p->coef);         else             printf("%gx^%d",p->coef,p->exp);          p=p->next;     }      printf("\n");  }    void DestroyList(PolyNode *&L)  //销毁单链表   {     PolyNode *p=L,*q=p->next;     while (q!=NULL)    {         free(p);        p=q;          q=p->next;      }     free(p);  }   void CreateListR(PolyNode *&L, PolyArray a[], int n) //尾插法建表   {    PolyNode *s,*r;      int i;      L=(PolyNode *)malloc(sizeof(PolyNode)); //创建头结点       L->next=NULL;      r=L;                        //r始终指向终端结点,开始时指向头结点      for (i=0; i<n; i++)      {         s=(PolyNode *)malloc(sizeof(PolyNode));//创建新结点          s->coef=a[i].coef;         s->exp=a[i].exp;          r->next=s;              //将*s插入*r之后          r=s;    }      r->next=NULL;               //终端结点next域置为NULL   }   void Sort(PolyNode *&head)      //按exp域递减排序   {     PolyNode *p=head->next,*q,*r;     if (p!=NULL)                //若原单链表中有一个或以上的数据结点       {          r=p->next;              //r保存*p结点后继结点的指针           p->next=NULL;           //构造只含一个数据结点的有序表          p=r;          while (p!=NULL)        {              r=p->next;          //r保存*p结点后继结点的指针              q=head;             while (q->next!=NULL && q->next->exp>p->exp)                  q=q->next;      //在有序表中找插入*p的前驱结点*q              p->next=q->next;    //将*p插入到*q之后               q->next=p;             p=r;         }     }  }    void Add(PolyNode *ha,PolyNode *hb,PolyNode *&hc)  //求两有序集合的并,完成加法   {      PolyNode *pa=ha->next,*pb=hb->next,*s,*tc;      double c;      hc=(PolyNode *)malloc(sizeof(PolyNode));        //创建头结点      tc=hc;     while (pa!=NULL && pb!=NULL)      {          if (pa->exp>pb->exp)          {              s=(PolyNode *)malloc(sizeof(PolyNode)); //复制结点              s->exp=pa->exp;             s->coef=pa->coef;             tc->next=s;          tc=s;            pa=pa->next;         }          else if (pa->exp<pb->exp)         {             s=(PolyNode *)malloc(sizeof(PolyNode)); //复制结点              s->exp=pb->exp;              s->coef=pb->coef;             tc->next=s;             tc=s;              pb=pb->next;          }          else                //pa->exp=pb->exp           {              c=pa->coef+pb->coef;             if (c!=0)       //系数之和不为0时创建新结点               {                  s=(PolyNode *)malloc(sizeof(PolyNode)); //复制结点                  s->exp=pa->exp;                 s->coef=c;                 tc->next=s;                  tc=s;             }             pa=pa->next;              pb=pb->next;         }      }      if (pb!=NULL) pa=pb;    //复制余下的结点       while (pa!=NULL)      {          s=(PolyNode *)malloc(sizeof(PolyNode)); //复制结点           s->exp=pa->exp;          s->coef=pa->coef;         tc->next=s;          tc=s;         pa=pa->next;      }      tc->next=NULL;  }    int main()  {      PolyNode *ha,*hb,*hc;     PolyArray a[]= {{1.2,0},{2.5,1},{3.2,3},{-2.5,5}};     PolyArray b[]= {{-1.2,0},{2.5,1},{3.2,3},{2.5,5},{5.4,10}};     CreateListR(ha,a,4);     CreateListR(hb,b,5);     printf("原多项式A:   ");     DispPoly(ha);     printf("原多项式B:   ");      DispPoly(hb);      Sort(ha);      Sort(hb);     printf("有序多项式A: ");      DispPoly(ha);    printf("有序多项式B: ");      DispPoly(hb);     Add(ha,hb,hc);     printf("多项式相加:  ");      DispPoly(hc);     DestroyList(ha);     DestroyList(hb);      DestroyList(hc);    return 0;  }  

运行结果:

心得:

看着都晕了,


 

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