MPI兑现fft的迭代算法 源于并行计算——结构。算法。编程中伪码 更新3

MPI实现fft的迭代算法 源于并行计算——结构。算法。编程中伪码 更新3

allgather开销太大，所以，可以考虑用输入数据闭包的办法，避免通信。但是fft的碟形算法的输入闭包是所有数据。但是每次迭代的时候，节点间通信一定是以第2的某整数次幂开始的2的整数次幂个数据成块交换。所以，可以对并行度进行规定，让通信按块进行。

#include "mpi.h"#include <stdio.h>#include <stdlib.h>#include <math.h>#include <sys/stat.h>#include <memory.h>/* both input num and thread num should be 2 to a power of some integer */typedef struct {double real;double img;} com;double PI;int readBinary(char* file,void *buf,int fsize);//if named read causes override and miscallint writeBinary(char *file,com *array,int size);//don't use the omega array,not every node needs a whole copy of omega,not efficientstatic inline void cp(com f,com *t);//copy complexstatic inline void add(com a,com b,com* r);static inline void mul(com a,com b,com* r);static inline void sub(com a,com b,com* r);int br(int src,int size);//bit reversevoid send(com *c,com *r,int s,int t);void show(com a) {printf("%.4f %.4f \n",a.real,a.img);}int main(int argc,char *argv[]) {if(argc<3) {printf("wtf\n");return 1;}double st,et;PI=atan(1)*4;int self,size;//process id and total number of processesMPI_Init(&argc,&argv);st=MPI_Wtime();MPI_Comm_rank(MPI_COMM_WORLD,&self);MPI_Comm_size(MPI_COMM_WORLD,&size);int fsize,n;void *buf;com *in;if(0==self) {//printf("start \n");struct stat fstat;stat(argv[1],&fstat);fsize=fstat.st_size;buf=malloc(fsize);n=readBinary(argv[1],buf,fsize)/2;//n stands for total complex number}MPI_Bcast(&n,1,MPI_INT,0,MPI_COMM_WORLD);//every thread should know the total sizeif(-1==n) {printf("error reading \n");MPI_Finalize();}in=(com*)malloc(n*sizeof(com));if(0==self) {memcpy(in,((int*)buf+1),n*sizeof(com));free(buf);}int psize=n/size;//datacom w,m;//omegacom t[psize];int l=log(n)/log(2);int off=self*psize;MPI_Request sr,rr;MPI_Status s;//initialize dataMPI_Scatter(in,psize*2,MPI_DOUBLE,t,psize*2,MPI_DOUBLE,0,MPI_COMM_WORLD);if(0!=self) {memcpy(in,t,psize*sizeof(com));}for(int h=l-1;h>=0;--h) {//calculateint p=pow(2,h);int q=n/p;int k;if(psize<=p) {if(off%p==off%(2*p)) {//inter-node communication neededint next=(off+p)/psize;MPI_Issend(in,psize*2,MPI_DOUBLE,next,0,MPI_COMM_WORLD,&sr);MPI_Irecv(t,psize*2,MPI_DOUBLE,next,0,MPI_COMM_WORLD,&rr);} else {int next=(off-p)/psize;MPI_Issend(in,psize*2,MPI_DOUBLE,next,0,MPI_COMM_WORLD,&sr);MPI_Irecv(t,psize*2,MPI_DOUBLE,next,0,MPI_COMM_WORLD,&rr);}MPI_Wait(&sr,&s);MPI_Wait(&rr,&s);//calculationfor(k=off;k<off+psize;++k) {if(k%p==k%(2*p)) {int time=p*(br(k,l)%q);w.real=cos(2*PI*time/n);w.img=sin(2*PI*time/n);mul(t[k-off],w,&m);add(in[k-off],m,&in[k-off]);} else {int time=p*(br(k-p,l)%q);w.real=cos(2*PI*time/n);w.img=sin(2*PI*time/n);mul(in[k-off],w,&m);sub(t[k-off],m,&in[k-off]);}}} else {//intra-nodeif(0==self) {printf("memcpy \n");}memcpy(t,in,psize*sizeof(com));//calculationfor(k=off;k<off+psize;++k) {if(k%p==k%(2*p)) {int time=p*(br(k,l)%q);w.real=cos(2*PI*time/n);w.img=sin(2*PI*time/n);mul(t[k+p-off],w,&m);add(in[k-off],m,&in[k-off]);} else {int time=p*(br(k-p,l)%q);w.real=cos(2*PI*time/n);w.img=sin(2*PI*time/n);mul(in[k-off],w,&m);sub(t[k-p-off],m,&in[k-off]);}}}if(0==self) {printf("%d \n",h);for(int i=0;i<psize;++i) {printf("b%d :%.4f %.4f \n",i,in[i].real,in[i].img);}}}memcpy(t,in,psize*sizeof(com));MPI_Allgather(t,2*psize,MPI_DOUBLE,in,2*psize,MPI_DOUBLE,MPI_COMM_WORLD);//reverse all dataint rs=0;for(int k=off;k<off+psize;++k) {//post all comunications first//tag is always the sending row numbert[k-off]=in[br(k,l)];}MPI_Gather(t,psize*2,MPI_DOUBLE,in,psize*2,MPI_DOUBLE,0,MPI_COMM_WORLD);if(0==self) {/*for(int i=0;i<n;++i) {printf("b%d :%.4f %.4f \n",i,in[i].real,in[i].img);}*/writeBinary(argv[2],in,n);}free(in);et=MPI_Wtime();MPI_Finalize();//printf("%f \n",et-st);return 0;}int readBinary(char* file,void *buf,int fsize) {FILE *in;if(!(in=fopen(file,"r"))) {printf("can't open \n");return -1;}fread(buf,sizeof(char),fsize,in);int size=((int*)buf)[0];fclose(in);return size;}int writeBinary(char *file,com *array,int size) {FILE *out;if(!(out=fopen(file,"w"))) {printf("can't open \n");return -1;}int bsize=sizeof(int)+size*sizeof(com);void *buf=malloc(bsize);((int*)buf)[0]=2*size;memcpy(((int*)buf+1),array,size*sizeof(com));fwrite(buf,sizeof(char),bsize,out);free(buf);fclose(out);return 0;}void cp(com f,com *t) {t->real=f.real;t->img=f.img;}void add(com a,com b,com *c)   {c->real=a.real+b.real;   c->img=a.img+b.img;   }       void mul(com a,com b,com *c)   {   c->real=a.real*b.real-a.img*b.img;   c->img=a.real*b.img+a.img*b.real;   }void sub(com a,com b,com *c)   {   c->real=a.real-b.real;   c->img=a.img-b.img;   }   int br(int src,int size) {int tmp=src;int des=0;for(int i=size-1;i>=0;--i) {des=((tmp&1)<<i)|des;tmp=tmp>>1;}return des;}