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第9周项目3稀疏矩阵的三元组表示的实现及应用2

2015-12-11 09:10 375 查看
算法及代码:

#ifndef TUP_H_INCLUDED
#define TUP_H_INCLUDED

#define M 6
#define N 7
#define MaxSize  100         //矩阵中非零元素最多个数
typedef int ElemType;

typedef struct
{
int r;                  //行号
int c;                  //列号
ElemType d;             //元素值
} TupNode;                  //三元组定义

typedef struct
{
int rows;               //行数
int cols;               //列数
int nums;               //非零元素个数
TupNode data[MaxSize];
} TSMatrix;                 //三元组顺序表定义

void CreatMat(TSMatrix &t,ElemType A[M]
);  //从一个二维稀疏矩阵创建其三元组表示
bool Value(TSMatrix &t,ElemType x,int i,int j);  //三元组元素赋值
bool Assign(TSMatrix t,ElemType &x,int i,int j); //将指定位置的元素值赋给变量
void DispMat(TSMatrix t);//输出三元组
void TranTat(TSMatrix t,TSMatrix &tb);//矩阵转置

#endif // TUP_H_INCLUDED
#include <stdio.h>
#include "tup.h"
bool MatAdd(TSMatrix a,TSMatrix b,TSMatrix &c)
{
int i,j;
ElemType va,vb,vc;
if (a.rows!=b.rows || a.cols!=b.cols)
return false;                        //行数或列数不等时不能进行相加运算
c.rows=a.rows;
c.cols=a.cols;       //c的行列数与a的相同
c.nums=0;
for(i=0; i<M; i++)
for(j=0; j<N; j++)
{
Assign(a,va,i,j);
Assign(b,vb,i,j);
vc=va+vb;
if(vc)
Value(c,vc,i,j);
}
return true;
}

int main()
{
TSMatrix ta,tb,tc;
int A[M]
=
{
{0,0,1,0,0,0,0},
{0,2,0,0,0,0,0},
{3,0,0,0,0,0,0},
{0,0,0,5,0,0,0},
{0,0,0,0,6,0,0},
{0,0,0,0,0,7,4}
};
int B[M]
=
{
{0,0,10,0,0,0,0},
{0,0,0,20,0,0,0},
{0,0,0,0,0,0,0},
{0,0,0,50,0,0,0},
{0,0,20,0,0,0,0},
{0,0,0,10,0,0,4}
};
CreatMat(ta,A);
CreatMat(tb,B);
printf("A:\n");
DispMat(ta);
printf("B:\n");
DispMat(tb);
if(MatAdd(ta, tb, tc))
{
printf("A+B:\n");
DispMat(tc);
}
else
{
printf("相加失败\n");
}
return 0;
}


运行结果:



 
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