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main_AVX2_ALIGNED.cpp
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#include<cstdio>
#include<cstdlib>
#include<ctime>
#include"Windows.h"
#include<immintrin.h>//AVX AVX2 AVX512
#define ALIGN_N 32
#define SLI 8
typedef float dType;
void NormalMul(int n,int s,int m,dType*a,dType*b,dType*res)
{
// memset(res,0,n*m*4);
__m256 atemp;
__m256 btemp;
__m256 multmp;
__m256 restemp;
__m128 s1;
__m128 s2;
restemp=_mm256_setzero_ps();
for(int i=0;i<n*m;i+=8)
_mm256_store_ps(res+i,restemp);
for(int i=0;i<n;i++)
{
for(int j=0;j<m;j++)
{
restemp=_mm256_setzero_ps();
for(int k=0;k<s;k+=8)
{
atemp=_mm256_load_ps(a+n*i+k);
btemp=_mm256_set_ps(b[s*(k+7)+j],b[s*(k+6)+j],b[s*(k+5)+j],b[s*(k+4)+j],
b[s*(k+3)+j],b[s*(k+2)+j],b[s*(k+1)+j],b[s*(k)+j]);
multmp=_mm256_mul_ps(atemp,btemp);
restemp=_mm256_add_ps(restemp,multmp);
}
s1=_mm256_extractf128_ps(restemp,0);
s2=_mm256_extractf128_ps(restemp,1);
s1=_mm_hadd_ps(s1,s2);
s1=_mm_hadd_ps(s1,s1);
s1=_mm_hadd_ps(s1,s1);
_mm_store_ss(res+n*i+j,s1);
}
}
}
void cacheNormalMul(int n,int s,int m,dType*a,dType*b,dType*res)
{
__m256 atemp;
__m256 btemp;
__m256 mulTemp;
__m256 resTemp;
resTemp=_mm256_setzero_ps();
for(int i=0;i<n*m;i+=8)
_mm256_store_ps(res+i,resTemp);
for(int i=0;i<n;i++)
{
for(int k=0;k<s;k++)
{
for(int j=0;j<m;j+=8)
{
//atemp=_mm256_load1_ps(a+n*i+k);
atemp=_mm256_broadcast_ss(a+n*i+k);
//atemp=_mm256_set1_ps(a[n*i+k]);
btemp=_mm256_load_ps(b+s*k+j);
mulTemp=_mm256_mul_ps(atemp,btemp);
resTemp=_mm256_load_ps(res+n*i+j);
resTemp=_mm256_add_ps(resTemp,mulTemp);
_mm256_store_ps(res+n*i+j,resTemp);
}
}
}
}
void slicePolicy(int N,dType*a,dType*b,dType*res,int Block_SZ)
{
int blockCnt=N/Block_SZ;
__m256 restemp;
__m256 atemp,btemp;
restemp=_mm256_setzero_ps();
for(int i=0;i<N*N;i+=8)
_mm256_store_ps(res+i,restemp);
for(int bi=0;bi<blockCnt;bi++)
for(int bk=0;bk<blockCnt;bk++)
{
for(int bj=0;bj<blockCnt;bj++)//block_sz
for(int i=0;i<Block_SZ;i++)
{
int idxI=N*(i+bi*Block_SZ);
for(int k=0;k<Block_SZ;k++)
{
int idxK=(k+bk*Block_SZ);
int idxNk=N*(k+bk*Block_SZ);
for(int j=0;j<Block_SZ;j+=8)//inner mul
{
int idxJ=(j+bj*Block_SZ);
//res[idxI+idxJ]+=a[idxI+idxK]*b[idxNk+idxJ];
//atemp=_mm256_set1_ps(a[idxI+idxK]);
atemp=_mm256_broadcast_ss(a+idxI+idxK);
btemp=_mm256_load_ps(b+idxNk+idxJ);
atemp=_mm256_mul_ps(atemp,btemp);
restemp=_mm256_load_ps(res+idxI+idxJ);
restemp=_mm256_add_ps(restemp,atemp);
_mm256_store_ps(res+idxI+idxJ,restemp);
}
}
}
}
}
void transposePolicy(int n,int s,int m,dType*a,dType*b,dType*res)
{
dType*bT=(dType*)_mm_malloc(s*m*sizeof(dType),ALIGN_N);
__m256 restemp,atemp,btemp;
__m128 s1,s2;
restemp=_mm256_setzero_ps();
for(int i=0;i<n*m;i+=8)
_mm256_store_ps(res+i,restemp);
for(int i=0;i<s;i++)
for(int j=0;j<m;j++)
bT[j*m+i]=b[i*s+j];
for(int i=0;i<n;i++)
for(int j=0;j<m;j++)
{
restemp=_mm256_setzero_ps();
for(int k=0;k<s;k+=8)
{
atemp=_mm256_load_ps(a+n*i+k);
btemp=_mm256_load_ps(bT+m*j+k);
atemp=_mm256_mul_ps(atemp,btemp);
restemp=_mm256_add_ps(restemp,atemp);
//res[n*i+j]+=(a[n*i+k]*bT[m*j+k]);
}
s1=_mm256_extractf128_ps(restemp,0);
s2=_mm256_extractf128_ps(restemp,1);
s1=_mm_hadd_ps(s1,s2);
s1=_mm_hadd_ps(s1,s1);
s1=_mm_hadd_ps(s1,s1);
_mm_store_ss(res+n*i+j,s1);
}
_mm_free(bT);
}
void MatAdd(int N,
int aRowLen,const dType*a,
int bRowLen,const dType*b,
int resRowLen,dType*res)
{
__m256 atemp;
__m256 btemp;
__m256 resTemp;
for(int i=0;i<N;i++)
for(int j=0;j<N;j+=8)
{
atemp=_mm256_load_ps(a+i*aRowLen+j);
btemp=_mm256_load_ps(b+i*bRowLen+j);
resTemp=_mm256_add_ps(atemp,btemp);
_mm256_store_ps(res+i*resRowLen+j,resTemp);
}
}
void MatSub(int N,
int aRowLen,const dType*a,
int bRowLen,const dType*b,
int resRowLen,dType*res)
{
__m256 atemp;
__m256 btemp;
__m256 resTemp;
for(int i=0;i<N;i++)
for(int j=0;j<N;j+=8)
{
atemp=_mm256_load_ps(a+i*aRowLen+j);
btemp=_mm256_load_ps(b+i*bRowLen+j);
resTemp=_mm256_sub_ps(atemp,btemp);
_mm256_store_ps(res+i*resRowLen+j,resTemp);
}
}
void Strassen(int N,
int aRowLen,const dType*a,
int bRowLen,const dType*b,
int resRowLen,dType*res)
{
if(N<=8)
{
__m256 atemp;
__m256 btemp;
__m256 multemp;
__m256 restemp;
restemp=_mm256_setzero_ps();
for(int i=0;i<N;i++)
for(int j=0;j<N;j+=8)
{
_mm256_store_ps(res+resRowLen*i+j,restemp);
}
for(int i=0;i<N;i++)
for(int k=0;k<N;k++)
for(int j=0;j<N;j+=8)
{
//atemp=_mm256_set1_ps(a[aRowLen*i+k]);
atemp=_mm256_broadcast_ss(a+aRowLen*i+k);
btemp=_mm256_load_ps(b+bRowLen*k+j);
multemp=_mm256_mul_ps(atemp,btemp);
restemp=_mm256_load_ps(res+resRowLen*i+j);
restemp=_mm256_add_ps(restemp,multemp);
_mm256_store_ps(res+resRowLen*i+j,restemp);
}
return;
}
const int n=N/2;
const dType*A=a;
const dType*B=a+n;
const dType*C=a+n*aRowLen;
const dType*D=C+n;
const dType*E=b;
const dType*F=b+n;
const dType*G=b+n*bRowLen;
const dType*H=G+n;
const int sz=n*n*sizeof(dType);
dType*P[7]={
(dType*)_mm_malloc(sz,ALIGN_N),
(dType*)_mm_malloc(sz,ALIGN_N),
(dType*)_mm_malloc(sz,ALIGN_N),
(dType*)_mm_malloc(sz,ALIGN_N),
(dType*)_mm_malloc(sz,ALIGN_N),
(dType*)_mm_malloc(sz,ALIGN_N),
(dType*)_mm_malloc(sz,ALIGN_N)
};
dType*T=(dType*)_mm_malloc(sz,ALIGN_N);
dType*U=(dType*)_mm_malloc(sz,ALIGN_N);
MatSub(n,bRowLen,F,bRowLen,H,n,T);//T=F-H
Strassen(n,aRowLen,A,n,T,n,P[0]);//P0=A*(F-H)
MatAdd(n,aRowLen,A,aRowLen,B,n,T);//T=A+B
Strassen(n,n,T,bRowLen,H,n,P[1]);//P1=(A+B)*H
MatAdd(n, aRowLen, C, aRowLen, D, n, T);
Strassen(n, n, T, bRowLen, E, n, P[2]);// P2 = (C + D)*E
MatSub(n, bRowLen, G, bRowLen, E, n, T);//T=G-E
Strassen(n, aRowLen, D, n, T, n, P[3]);//P3=D*(G-E)
MatAdd(n, aRowLen, A, aRowLen, D, n, T);//T=A+D
MatAdd(n, bRowLen, E, bRowLen, H, n, U);//U=E+H
Strassen(n, n, T, n, U, n, P[4]);// P4 = (A + D)*(E + H)
MatSub(n, aRowLen, B, aRowLen, D, n, T);//T=B-D
MatAdd(n, bRowLen, G, bRowLen, H, n, U);//U=G+H
Strassen(n, n, T, n, U, n, P[5]);// P5 = (B - D)*(G + H)
MatSub(n, aRowLen, A, aRowLen, C, n, T);//T=A-C
MatAdd(n, bRowLen, E, bRowLen, F, n, U);//U=E+F
Strassen(n, n, T, n, U, n, P[6]);// P6 = (A - C)*(E + F)
// Z upper left = (P3 + P4) + (P5 - P1)
MatAdd(n, n, P[4], n, P[3], n, T);
MatSub(n, n, P[5], n, P[1], n, U);
MatAdd(n, n, T, n, U, resRowLen, res);
// Z lower left = P2 + P3
MatAdd(n, n, P[2], n, P[3], resRowLen, res + n*resRowLen);
// Z upper right = P0 + P1
MatAdd(n, n, P[0], n, P[1], resRowLen, res + n);
// Z lower right = (P0 + P4) - (P2 + P6)
MatAdd(n, n, P[0], n, P[4], n, T);
MatAdd(n, n, P[2], n, P[6], n, U);
MatSub(n, n, T, n, U, resRowLen, res + n*(resRowLen + 1));
_mm_free(U); // deallocate temp matrices
_mm_free(T);
_mm_free(P[0]);
_mm_free(P[1]);
_mm_free(P[2]);
_mm_free(P[3]);
_mm_free(P[4]);
_mm_free(P[5]);
_mm_free(P[6]);
}
int main()
{
srand((unsigned)time(NULL));
int N=16;
dType*a=(dType*)_mm_malloc(N*N*sizeof(dType),ALIGN_N);
for(int i=0;i<N*N;i++)a[i]=i;
dType*b=(dType*)_mm_malloc(N*N*sizeof(dType),ALIGN_N);
for(int i=0;i<N*N;i++)b[i]=N*N-1-i;
dType*c1=(dType*)_mm_malloc(N*N*sizeof(dType),ALIGN_N);
dType*c2=(dType*)_mm_malloc(N*N*sizeof(dType),ALIGN_N);
dType*c3=(dType*)_mm_malloc(N*N*sizeof(dType),ALIGN_N);
dType*c4=(dType*)_mm_malloc(N*N*sizeof(dType),ALIGN_N);
dType*c5=(dType*)_mm_malloc(N*N*sizeof(dType),ALIGN_N);
long long head,tail,freq;
float tN,tC,tS,tT,tSli;
QueryPerformanceFrequency((LARGE_INTEGER*)&freq);
QueryPerformanceCounter((LARGE_INTEGER*)&head);
NormalMul(N,N,N,a,b,c1);
QueryPerformanceCounter((LARGE_INTEGER*)&tail);
tN=(tail-head)*1000.0/freq;
QueryPerformanceCounter((LARGE_INTEGER*)&head);
cacheNormalMul(N,N,N,a,b,c2);
QueryPerformanceCounter((LARGE_INTEGER*)&tail);
tC=(tail-head)*1000.0/freq;
QueryPerformanceCounter((LARGE_INTEGER*)&head);
Strassen(N,N,a,N,b,N,c3);
QueryPerformanceCounter((LARGE_INTEGER*)&tail);
tS=(tail-head)*1000.0/freq;
QueryPerformanceCounter((LARGE_INTEGER*)&head);
transposePolicy(N,N,N,a,b,c4);
QueryPerformanceCounter((LARGE_INTEGER*)&tail);
tT=(tail-head)*1000.0/freq;
QueryPerformanceCounter((LARGE_INTEGER*)&head);
slicePolicy(N,a,b,c5,N>SLI?SLI:N);
QueryPerformanceCounter((LARGE_INTEGER*)&tail);
tSli=(tail-head)*1000.0/freq;
printf("N=%d\n",N);
printf("Normal_A2 elapsed %.3f ms\n",tN);
printf("Cache_A2 elasped %.3f ms\n",tC);
printf("Strassen_A2 elasped %.3f ms\n",tS);
printf("Transpose_A2 elasped %.3f ms\n",tT);
printf("Sliced_A2 64*64Block elasped %.3f ms\n",tSli);
freopen("cc1_A2.txt","w",stdout);
for(int i=0;i<N*N;i++)
printf("%f\n",c1[i]);
freopen("cc2_A2.txt","w",stdout);
for(int i=0;i<N*N;i++)
printf("%f\n",c2[i]);
freopen("cc3_A2.txt","w",stdout);
for(int i=0;i<N*N;i++)
printf("%f\n",c3[i]);
freopen("cc4_A2.txt","w",stdout);
for(int i=0;i<N*N;i++)
printf("%f\n",c4[i]);
freopen("cc5_A2.txt","w",stdout);
for(int i=0;i<N*N;i++)
printf("%f\n",c5[i]);
_mm_free(a);
_mm_free(b);
_mm_free(c1);
_mm_free(c2);
_mm_free(c3);
_mm_free(c4);
_mm_free(c5);
return 0;
}