svd.c
上传用户:jsljixie
上传日期:2013-08-15
资源大小:827k
文件大小:7k
- #include "stdio.h"
- #include "stdlib.h"
- #include "mpi.h"
- #include "math.h"
- #include "string.h"
- #define E 0.0001
- #define intsize sizeof(int)
- #define floatsize sizeof(float)
- #define A(x,y) A[x*col+y] /* A is matrix row*col */
- #define I(x,y) I[x*col+y] /* I is matrix col*col */
- #define U(x,y) U[x*col+y]
- #define B(x) B[x]
- #define a(x,y) a[x*col+y]
- #define e(x,y) e[x*col+y]
- int col,row;
- int m,n,p;
- int myid,group_size;
- float *A,*I,*B,*U;
- float *a,*e;
- MPI_Status status;
- float starttime,endtime,time1,time2;
- void read_fileA()
- {
- int i,j;
- FILE *fdA;
- time1=MPI_Wtime();
- fdA=fopen("dataIn.txt","r");
- fscanf(fdA,"%d %d", &row, &col);
- A=(float*)malloc(floatsize*row*col);
- for(i = 0; i < row; i ++)
- {
- for(j = 0; j < col; j ++) fscanf(fdA, "%f", A+i*row+j);
- }
- fclose(fdA);
- printf("Input of file "dataIn.txt"n");
- printf("%dt %dn",row, col);
- for(i=0;i<row;i++)
- {
- for(j=0;j<col;j++) printf("%ft",A(i,j));
- printf("n");
- }
- I=(float*)malloc(floatsize*col*col);
- for(i=0;i<col;i++)
- for(j=0;j<col;j++)
- if (i==j) I(i,j)=1.0;
- else I(i,j)=0.0;
- }
- int main(int argc,char **argv)
- {
- int loop;
- int i,j,v;
- int p,group_size,myid;
- int k;
- float *sum, *ss;
- float aa,bb,rr,c,s,t;
- float su;
- float *temp,*temp1;
- MPI_Init(&argc,&argv);
- MPI_Comm_size(MPI_COMM_WORLD,&group_size);
- MPI_Comm_rank(MPI_COMM_WORLD,&myid);
- if (myid==0) starttime=MPI_Wtime();
- p=group_size;
- loop=0;
- k=0;
- if (myid==0)
- read_fileA();
- MPI_Bcast(&row,1,MPI_INT,0,MPI_COMM_WORLD);
- MPI_Bcast(&col,1,MPI_INT,0,MPI_COMM_WORLD);
- m=row/p; if (row%p!=0) m++; /* for a */
- n=col/p; if (col%p!=0) n++; /* for e */
- if (myid==0)
- {
- B=(float*)malloc(floatsize*col);
- U=(float*)malloc(floatsize*row*col);
- }
- a=(float*)malloc(floatsize*m*col);
- e=(float*)malloc(floatsize*n*col);
- temp=(float*)malloc(floatsize*m);
- temp1=(float*)malloc(floatsize*n);
- ss=(float*)malloc(floatsize*3);
- sum=(float*)malloc(floatsize*3);
- if (myid==0)
- {
- for(i=0;i<m;i++)
- for(j=0;j<col;j++)
- a(i,j)=A(i,j);
- for(i=0;i<n;i++)
- for(j=0;j<col;j++)
- e(i,j)=I(i,j);
- for(i=1;i<p;i++)
- {
- MPI_Send(&(A(m*i,0)),m*col,MPI_FLOAT,i,i,MPI_COMM_WORLD);
- MPI_Send(&(I(n*i,0)),n*col,MPI_FLOAT,i,i,MPI_COMM_WORLD);
- }
- }
- else
- {
- MPI_Recv(a,m*col,MPI_FLOAT,0,myid,MPI_COMM_WORLD,&status);
- MPI_Recv(e,n*col,MPI_FLOAT,0,myid,MPI_COMM_WORLD,&status);
- }
- if (myid==0) /* start computing now */
- time2=MPI_Wtime();
- while (k<=col*(col-1)/2)
- {
- for(i=0;i<col;i++)
- for(j=i+1;j<col;j++)
- {
- ss[0]=0; ss[1]=0; ss[2]=0;
- sum[0]=0; sum[1]=0; sum[2]=0;
- for(v=0;v<m;v++)
- ss[0]=ss[0]+a(v,i)*a(v,j);
- for(v=0;v<m;v++)
- ss[1]=ss[1]+a(v,i)*a(v,i);
- for(v=0;v<m;v++)
- ss[2]=ss[2]+a(v,j)*a(v,j);
- MPI_Allreduce(ss,sum,3,MPI_FLOAT,MPI_SUM,MPI_COMM_WORLD);
- if (fabs(sum[0])>E)
- {
- aa=2*sum[0];
- bb=sum[1]-sum[2];
- rr=sqrt(aa*aa+bb*bb);
- if (bb>=0)
- {
- c=sqrt((bb+rr)/(2*rr));
- s=aa/(2*rr*c);
- }
- if (bb<0)
- {
- s=sqrt((rr-bb)/(2*rr));
- c=aa/(2*rr*s);
- }
- for(v=0;v<m;v++)
- {
- temp[v]=c*a(v,i)+s*a(v,j);
- a(v,j)=(-s)*a(v,i)+c*a(v,j);
- }
- for(v=0;v<m;v++)
- a(v,i)=temp[v];
- for(v=0;v<n;v++)
- {
- temp1[v]=c*e(v,i)+s*e(v,j);
- e(v,j)=(-s)*e(v,i)+c*e(v,j);
- }
- for(v=0;v<n;v++)
- e(v,i)=temp1[v];
- }
- else
- k++;
- } /* for */
- loop ++;
- } /* while */
- if (myid==0)
- {
- for(i=0;i<m;i++)
- for(j=0;j<col;j++)
- A(i,j)=a(i,j);
- for(i=0;i<n;i++)
- for(j=0;j<col;j++)
- I(i,j)=e(i,j);
- }
- if (myid!=0)
- MPI_Send(a,m*col,MPI_FLOAT,0,myid,MPI_COMM_WORLD);
- else
- {
- for(j=1;j<p;j++)
- {
- MPI_Recv(a,m*col,MPI_FLOAT,j,j,MPI_COMM_WORLD,&status);
- for(i=0;i<m;i++)
- for(k=0;k<col;k++)
- A((j*m+i),k)=a(i,k);
- }
- }
- if (myid!=0)
- MPI_Send(e,n*col,MPI_FLOAT,0,myid,MPI_COMM_WORLD);
- else
- {
- for(j=1;j<p;j++)
- {
- MPI_Recv(e,n*col,MPI_FLOAT,j,j,MPI_COMM_WORLD,&status);
- for(i=0;i<n;i++)
- for(k=0;k<col;k++)
- I((j*n+i),k)=e(i,k);
- }
- }
- if (myid==0)
- {
- for(j=0;j<col;j++)
- {
- su=0.0;
- for(i=0;i<row;i++)
- su=su+A(i,j)*A(i,j);
- B(j)=sqrt(su);
- }
- for(i=1;i<col;i++)
- for(j=0;j<i;j++)
- {
- t=I(i,j);
- I(i,j)=I(j,i);
- I(j,i)=t;
- }
- for(j=0;j<col;j++)
- for(i=0;i<row;i++)
- U(i,j )=A(i,j )/B(j);
- printf(".........U.........n");
- for(i=0;i<row;i++)
- {
- for(j=0;j<col;j++)
- printf("%ft",U(i,j));
- printf("n");
- }
- printf("........E.........n");
- for(i=0;i<col;i++)
- printf("%ft",B(i));
- printf("n");
- printf("........Vt........n");
- for(i=0;i<col;i++)
- {
- for(j=0;j<col;j++)
- printf("%ft",I(i,j));
- printf("n");
- }
- }
- if (myid==0)
- {
- endtime=MPI_Wtime();
- printf("n");
- printf("Iteration num = %dn",loop);
- printf("Whole running time = %f secondsn",endtime-starttime);
- printf("Distribute data time = %f secondsn",time2-time1);
- printf("Parallel compute time = %f secondsn",endtime-time2);
- }
- MPI_Finalize();
- free(a);
- free(e);
- free(A);
- free(U);
- free(I);
- free(B);
- free(temp);
- free(temp1);
- return(0);
- }