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gpukernel_p3.cu
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gpukernel_p3.cu
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#include "fmm.h"
unsigned int hostOffsetSize;
unsigned int hostAccelSize;
unsigned int hostPosTargetSize;
unsigned int hostPosSourceSize;
unsigned int hostMnmTargetSize;
unsigned int hostMnmSourceSize;
unsigned int hostLnmTargetSize;
unsigned int hostLnmSourceSize;
unsigned int hostYnmSize;
unsigned int hostDnmSize;
unsigned int hostConstantSize;
int *hostOffset;
float3 *hostAccel;
float3 *hostPosTarget;
float4 *hostPosSource;
float *hostMnmTarget;
float *hostMnmSource;
float *hostLnmTarget;
float *hostLnmSource;
float *hostYnm;
float *hostDnm;
float *hostConstant;
static unsigned int is_set=0;
static unsigned int deviceOffsetSize=0;
static unsigned int deviceAccelSize=0;
static unsigned int devicePosTargetSize=0;
static unsigned int devicePosSourceSize=0;
static unsigned int deviceMnmTargetSize=0;
static unsigned int deviceMnmSourceSize=0;
static unsigned int deviceLnmTargetSize=0;
static unsigned int deviceLnmSourceSize=0;
static unsigned int deviceYnmSize=0;
static unsigned int deviceDnmSize=0;
static int *deviceOffset;
static float3 *deviceAccel;
static float3 *devicePosTarget;
static float4 *devicePosSource;
static float *deviceMnmTarget;
static float *deviceMnmSource;
static float *deviceLnmTarget;
static float *deviceLnmSource;
static float *deviceYnm;
static float *deviceDnm;
__device__ __constant__ float deviceConstant[4];
#include "gpukernelcore_p3.cu"
double get_gpu_time(void)
{
struct timeval tv;
struct timezone tz;
if (is_set==1) cudaDeviceSynchronize();
gettimeofday(&tv, &tz);
return ((double)(tv.tv_sec+tv.tv_usec*1.0e-6));
}
FmmSystem tree;
// direct summation kernel
void FmmKernel::direct(int n) {
int i,nicall,njcall,icall,iwork1,iwork2,ista,iend,ibase,isize,iblok,is,im;
int jcall,jwork1,jwork2,jsta,jend,jbase,jsize;
int nj,nflop;
const int offsetStride = 2*maxP2PInteraction+1;
double tic,toc,flops,t[10],op=0;
for(i=0;i<10;i++) t[i]=0;
tic=get_gpu_time();
for( i=0; i<n; i++ ) {
bodyAccel[i].x = 0;
bodyAccel[i].y = 0;
bodyAccel[i].z = 0;
}
nicall = n/targetBufferSize+1;
njcall = n/sourceBufferSize+1;
iblok = (n/nicall+threadsPerBlockTypeA-1)/threadsPerBlockTypeA;
hostOffsetSize=sizeof(int)*iblok*offsetStride;
hostPosTargetSize=sizeof(float3)*targetBufferSize;
hostPosSourceSize=sizeof(float4)*sourceBufferSize;
hostAccelSize=sizeof(float3)*targetBufferSize;
hostOffset=(int *)malloc(hostOffsetSize);
hostPosTarget=(float3 *)malloc(hostPosTargetSize);
hostPosSource=(float4 *)malloc(hostPosSourceSize);
hostAccel=(float3 *)malloc(hostAccelSize);
if (is_set==0) {
CUDA_SAFE_CALL(cudaSetDevice(0));
is_set=1;
}
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
if (hostOffsetSize>deviceOffsetSize) {
if(deviceOffsetSize!=0) CUDA_SAFE_CALL(cudaFree(deviceOffset));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceOffset,hostOffsetSize));
deviceOffsetSize=hostOffsetSize;
}
if (hostPosTargetSize>devicePosTargetSize) {
if(devicePosTargetSize!=0) CUDA_SAFE_CALL(cudaFree(devicePosTarget));
CUDA_SAFE_CALL(cudaMalloc((void**)&devicePosTarget,hostPosTargetSize));
devicePosTargetSize=hostPosTargetSize;
}
if (hostPosSourceSize>devicePosSourceSize) {
if(devicePosSourceSize!=0) CUDA_SAFE_CALL(cudaFree(devicePosSource));
CUDA_SAFE_CALL(cudaMalloc((void**)&devicePosSource,hostPosSourceSize));
devicePosSourceSize=hostPosSourceSize;
}
if (hostAccelSize>deviceAccelSize) {
if(deviceAccelSize!=0) CUDA_SAFE_CALL(cudaFree(deviceAccel));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceAccel,hostAccelSize));
deviceAccelSize=hostAccelSize;
}
toc=tic;
tic=get_gpu_time();
t[1]+=tic-toc;
if( n < 0 ) nicall = 0;
for( icall=0; icall<nicall; icall++ ) {
iwork1 = n/nicall;
iwork2 = n%nicall;
ista = icall*iwork1+std::min(icall,iwork2);
iend = ista+iwork1-1;
if( iwork2 > icall ) iend++;
ibase = ista;
isize = iend-ibase+1;
iblok = 0;
for( is=0; is<isize; is+=threadsPerBlockTypeA ) {
for( i=0; i<std::min(isize-is,threadsPerBlockTypeA); i++ ) {
im = iblok*threadsPerBlockTypeA+i;
hostPosTarget[im] = *(float3*) &bodyPos[ibase+is+i];
}
for( i=isize-is; i<threadsPerBlockTypeA; i++ ) {
im = iblok*threadsPerBlockTypeA+i;
hostPosTarget[im].x = 0;
hostPosTarget[im].y = 0;
hostPosTarget[im].z = 0;
}
iblok++;
}
for( jcall=0; jcall<njcall; jcall++ ) {
jwork1 = n/njcall;
jwork2 = n%njcall;
jsta = jcall*jwork1+std::min(jcall,jwork2);
jend = jsta+jwork1;
if( jwork2 > jcall ) jend++;
jbase = jsta;
jsize = jend-jbase;
for( i=0; i<iblok; i++ ) {
hostOffset[i*offsetStride] = 1;
hostOffset[i*offsetStride+1] = 0;
hostOffset[i*offsetStride+2] = jsize;
}
for( i=jsta; i<jend; i++ ) {
nj = i-jsta;
hostPosSource[nj] = *(float4*) &bodyPos[i];
}
op += (double) isize*jsize;
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpy(deviceOffset,hostOffset,hostOffsetSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(devicePosTarget,hostPosTarget,hostPosTargetSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(devicePosSource,hostPosSource,hostPosSourceSize,cudaMemcpyHostToDevice));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
dim3 block(threadsPerBlockTypeA);
dim3 grid(iblok);
p2p_kernel<<< grid, block >>>(deviceOffset,devicePosTarget,devicePosSource,deviceAccel);
cudaCheckError();
nflop = 19;
toc=tic;
tic=get_gpu_time();
t[3]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpy(hostAccel,deviceAccel,hostAccelSize,cudaMemcpyDeviceToHost));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
iblok = 0;
for( is=0; is<isize; is+=threadsPerBlockTypeA ) {
for( i=0; i<std::min(isize-is,threadsPerBlockTypeA); i++ ) {
im = iblok*threadsPerBlockTypeA+i;
bodyAccel[ibase+is+i].x += inv4PI*hostAccel[im].x;
bodyAccel[ibase+is+i].y += inv4PI*hostAccel[im].y;
bodyAccel[ibase+is+i].z += inv4PI*hostAccel[im].z;
}
iblok++;
}
}
}
free(hostOffset);
free(hostPosTarget);
free(hostPosSource);
free(hostAccel);
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
for(i=0;i<9;i++) t[9]+=t[i];
flops=op*((double)nflop)/t[9];
// printf("p2p cudaMalloc : %f s\n",t[1]);
// printf("p2p cudaMemcpy : %f s\n",t[2]);
// printf("p2p cudaKernel : %f s\n",t[3]);
// printf("p2p other : %f s\n",t[0]);
// printf("p2p flops : %f G\n",flops/1e9);
tic=flops;
}
// precalculate M2L translation matrix and Wigner rotation matrix
void FmmKernel::precalc() {
int n,m,nm,nabsm,j,k,nk,npn,nmn,npm,nmm,nmk,i,nmk1,nm1k,nmk2;
vec3<int> boxIndex3D;
double anmk[2][numExpansion4];
double Dnmd[numExpansion4];
double fnma,fnpa,pn,p,p1,p2,anmd,anmkd,xijc,yijc,zijc,rho,alpha,beta,sc,ank,ek;
std::complex<double> expBeta[numExpansion2],eim(0,1),cnm;
for( n=0; n<2*numExpansions; n++ ) {
for( m=-n; m<=n; m++ ) {
nm = n*n+n+m;
nabsm = abs(m);
fnma = 1.0;
for( i=1; i<=n-nabsm; i++ ) fnma *= i;
fnpa = 1.0;
for( i=1; i<=n+nabsm; i++ ) fnpa *= i;
factorial[nm] = sqrt(fnma/fnpa);
}
}
pn = 1;
for( m=0; m<2*numExpansions; m++ ) {
p = pn;
npn = m*m+2*m;
nmn = m*m;
Ynm[npn] = factorial[npn]*p;
Ynm[nmn] = conj(Ynm[npn]);
p1 = p;
p = (2*m+1)*p;
for( n=m+1; n<2*numExpansions; n++ ) {
npm = n*n+n+m;
nmm = n*n+n-m;
Ynm[npm] = factorial[npm]*p;
Ynm[nmm] = conj(Ynm[npm]);
p2 = p1;
p1 = p;
p = ((2*n+1)*p1-(n+m)*p2)/(n-m+1);
}
pn = 0;
}
for( n=0; n<numExpansions; n++ ) {
for( m=1; m<=n; m++ ) {
anmd = n*(n+1)-m*(m-1);
for( k=1-m; k<m; k++ ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
anmkd = ((double) (n*(n+1)-k*(k+1)))/(n*(n+1)-m*(m-1));
anmk[0][nmk] = -(m+k)/sqrt(anmd);
anmk[1][nmk] = sqrt(anmkd);
}
}
}
for( i=0; i<numRelativeBox; i++ ) {
tree.unmorton(i,boxIndex3D);
xijc = boxIndex3D.x-3;
yijc = boxIndex3D.y-3;
zijc = boxIndex3D.z-3;
rho = sqrt(xijc*xijc+yijc*yijc+zijc*zijc)+eps;
alpha = acos(zijc/rho);
if( std::abs(xijc)+std::abs(yijc) < eps ) {
beta = 0;
} else if( std::abs(xijc) < eps ) {
beta = yijc/std::abs(yijc)*M_PI*0.5;
} else if( xijc > 0 ) {
beta = atan(yijc/xijc);
} else {
beta = atan(yijc/xijc)+M_PI;
}
sc = sin(alpha)/(1+cos(alpha));
for( n=0; n<4*numExpansions-3; n++ ) {
expBeta[n] = exp((n-2*numExpansions+2)*beta*eim);
}
for( n=0; n<numExpansions; n++ ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+n*(2*n+1)+n;
Dnmd[nmk] = pow(cos(alpha*0.5),2*n);
for( k=n; k>=1-n; k-- ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+n*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3+n*(2*n+1)+k-1;
ank = ((double) n+k)/(n-k+1);
Dnmd[nmk1] = sqrt(ank)*tan(alpha*0.5)*Dnmd[nmk];
}
for( m=n; m>=1; m-- ) {
for( k=m-1; k>=1-m; k-- ){
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k+1;
nm1k = (4*n*n*n+6*n*n+5*n)/3+(m-1)*(2*n+1)+k;
Dnmd[nm1k] = anmk[1][nmk]*Dnmd[nmk1]+anmk[0][nmk]*sc*Dnmd[nmk];
}
}
}
for( n=1; n<numExpansions; n++ ) {
for( m=0; m<=n; m++ ) {
for( k=-m; k<=-1; k++ ) {
ek = pow(-1.0,k);
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3-k*(2*n+1)-m;
Dnmd[nmk] = ek*Dnmd[nmk];
Dnmd[nmk1] = pow(-1.0,m+k)*Dnmd[nmk];
}
for( k=0; k<=m; k++ ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3+k*(2*n+1)+m;
nmk2 = (4*n*n*n+6*n*n+5*n)/3-k*(2*n+1)-m;
Dnmd[nmk1] = pow(-1.0,m+k)*Dnmd[nmk];
Dnmd[nmk2] = Dnmd[nmk1];
}
}
}
for( n=0; n<numExpansions; n++ ) {
for( m=0; m<=n; m++ ) {
for( k=-n; k<=n; k++ ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nk = n*(n+1)+k;
Dnm[i][m][nk] = Dnmd[nmk]*expBeta[k+m+2*numExpansions-2];
}
}
}
alpha = -alpha;
beta = -beta;
sc = sin(alpha)/(1+cos(alpha));
for( n=0; n<4*numExpansions-3; n++ ) {
expBeta[n] = exp((n-2*numExpansions+2)*beta*eim);
}
for( n=0; n<numExpansions; n++ ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+n*(2*n+1)+n;
Dnmd[nmk] = pow(cos(alpha*0.5),2*n);
for( k=n; k>=1-n; k-- ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+n*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3+n*(2*n+1)+k-1;
ank = ((double) n+k)/(n-k+1);
Dnmd[nmk1] = sqrt(ank)*tan(alpha*0.5)*Dnmd[nmk];
}
for( m=n; m>=1; m-- ) {
for( k=m-1; k>=1-m; k-- ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k+1;
nm1k = (4*n*n*n+6*n*n+5*n)/3+(m-1)*(2*n+1)+k;
Dnmd[nm1k] = anmk[1][nmk]*Dnmd[nmk1]+anmk[0][nmk]*sc*Dnmd[nmk];
}
}
}
for( n=1; n<numExpansions; n++ ) {
for( m=0; m<=n; m++ ) {
for( k=-m; k<=-1; k++ ) {
ek = pow(-1.0,k);
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3-k*(2*n+1)-m;
Dnmd[nmk] = ek*Dnmd[nmk];
Dnmd[nmk1] = pow(-1.0,m+k)*Dnmd[nmk];
}
for( k=0; k<=m; k++ ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nmk1 = (4*n*n*n+6*n*n+5*n)/3+k*(2*n+1)+m;
nmk2 = (4*n*n*n+6*n*n+5*n)/3-k*(2*n+1)-m;
Dnmd[nmk1] = pow(-1.0,m+k)*Dnmd[nmk];
Dnmd[nmk2] = Dnmd[nmk1];
}
}
}
for( n=0; n<numExpansions; n++ ) {
for( m=0; m<=n; m++ ) {
for( k=-n; k<=n; k++ ) {
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k;
nk = n*(n+1)+k;
Dnm[i+numRelativeBox][m][nk] = Dnmd[nmk]*expBeta[k+m+2*numExpansions-2];
}
}
}
}
for( j=0; j<numBoxIndexTotal; j++ ) {
for( i=0; i<numCoefficients; i++ ) {
Mnm[j][i] = 0;
}
}
}
// p2p
void FmmKernel::p2p(int numBoxIndex) {
int nicall,jc,jj,ii,njd,ij,icall,jcall,iblok,im,jjd,j,ibase,isize,is,i,ijc,jjdd;
int ni,nj,nflop,*jbase,*jsize,*njcall,*njj,**interactionListOffsetStart,**interactionListOffsetEnd;
const int offsetStride = 2*maxP2PInteraction+1;
double tic,toc,flops,t[10],op=0;
for(i=0;i<10;i++) t[i]=0;
tic=get_gpu_time();
hostOffsetSize=sizeof(int)*targetBufferSize/threadsPerBlockTypeA*offsetStride;
hostPosTargetSize=sizeof(float3)*targetBufferSize;
hostPosSourceSize=sizeof(float4)*sourceBufferSize;
hostAccelSize=sizeof(float3)*targetBufferSize;
hostOffset=(int *)malloc(hostOffsetSize);
hostPosTarget=(float3 *)malloc(hostPosTargetSize);
hostPosSource=(float4 *)malloc(hostPosSourceSize);
hostAccel=(float3 *)malloc(hostAccelSize);
interactionListOffsetStart = new int* [maxM2LInteraction];
for( i=0; i<maxM2LInteraction; i++ ) interactionListOffsetStart[i] = new int [numBoxIndexLeaf];
interactionListOffsetEnd = new int* [maxM2LInteraction];
for( i=0; i<maxM2LInteraction; i++ ) interactionListOffsetEnd[i] = new int [numBoxIndexLeaf];
jbase = new int [numBoxIndexLeaf];
jsize = new int [numBoxIndexLeaf];
njcall = new int [numBoxIndexLeaf];
njj = new int [numBoxIndexLeaf];
if (is_set==0) {
CUDA_SAFE_CALL(cudaSetDevice(0));
is_set=1;
}
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
if (hostOffsetSize>deviceOffsetSize) {
if(deviceOffsetSize!=0) CUDA_SAFE_CALL(cudaFree(deviceOffset));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceOffset,hostOffsetSize));
deviceOffsetSize=hostOffsetSize;
}
if (hostPosTargetSize>devicePosTargetSize) {
if(devicePosTargetSize!=0) CUDA_SAFE_CALL(cudaFree(devicePosTarget));
CUDA_SAFE_CALL(cudaMalloc((void**)&devicePosTarget,hostPosTargetSize));
devicePosTargetSize=hostPosTargetSize;
}
if (hostPosSourceSize>devicePosSourceSize) {
if(devicePosSourceSize!=0) CUDA_SAFE_CALL(cudaFree(devicePosSource));
CUDA_SAFE_CALL(cudaMalloc((void**)&devicePosSource,hostPosSourceSize));
devicePosSourceSize=hostPosSourceSize;
}
if (hostAccelSize>deviceAccelSize) {
if(deviceAccelSize!=0) CUDA_SAFE_CALL(cudaFree(deviceAccel));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceAccel,hostAccelSize));
deviceAccelSize=hostAccelSize;
}
toc=tic;
tic=get_gpu_time();
t[1]+=tic-toc;
ni = 0;
nj = 0;
nicall = 0;
boxOffsetStart[0] = 0;
jc = 0;
for( jj=0; jj<numBoxIndexLeaf; jj++ ) njj[jj] = 0;
for( ii=0; ii<numBoxIndex; ii++ ) {
if( numInteraction[ii] != 0 ) {
njd = 0;
jc = 0;
interactionListOffsetStart[0][ii] = 0;
for( ij=0; ij<numInteraction[ii]; ij++ ) {
jj = interactionList[ii][ij];
if( njj[jj] == 0 ) {
nj += particleOffset[1][jj]-particleOffset[0][jj]+1;
njj[jj] = 1;
}
njd += particleOffset[1][jj]-particleOffset[0][jj]+1;
if( njd > sourceBufferSize ) {
interactionListOffsetEnd[jc][ii] = ij-1;
jc++;
interactionListOffsetStart[jc][ii] = ij;
njd = particleOffset[1][jj]-particleOffset[0][jj]+1;
}
}
interactionListOffsetEnd[jc][ii] = numInteraction[ii]-1;
ni += ((particleOffset[1][ii]-particleOffset[0][ii]+threadsPerBlockTypeA)/threadsPerBlockTypeA+1)
*threadsPerBlockTypeA;
if( jc != 0 ) {
if( ii > boxOffsetStart[nicall] ) {
njcall[nicall] = 1;
boxOffsetEnd[nicall] = ii-1;
nicall++;
assert( nicall < numBoxIndexLeaf );
boxOffsetStart[nicall] = ii;
for( jj=0; jj<numBoxIndexLeaf; jj++ ) njj[jj] = 0;
}
if( ii != numBoxIndex ) {
njcall[nicall] = jc+1;
boxOffsetEnd[nicall] = ii;
nicall++;
assert( nicall < numBoxIndexLeaf );
boxOffsetStart[nicall] = ii+1;
for( jj=0; jj<numBoxIndexLeaf; jj++ ) njj[jj] = 0;
ni = 0;
nj = 0;
}
} else if ( ni > targetBufferSize || nj > sourceBufferSize ) {
njcall[nicall] = jc+1;
boxOffsetEnd[nicall] = ii-1;
nicall++;
assert( nicall < numBoxIndexLeaf );
boxOffsetStart[nicall] = ii;
for( jj=0; jj<numBoxIndexLeaf; jj++ ) njj[jj] = 0;
ni = ((particleOffset[1][ii]-particleOffset[0][ii]+threadsPerBlockTypeA)/threadsPerBlockTypeA+1)
*threadsPerBlockTypeA;
nj = 0;
for( ij=0; ij<numInteraction[ii]; ij++ ) {
jj = interactionList[ii][ij];
nj += particleOffset[1][jj]-particleOffset[0][jj]+1;
njj[jj] = 1;
}
}
}
}
njcall[nicall] = jc+1;
boxOffsetEnd[nicall] = numBoxIndex-1;
if(numBoxIndex != 0) nicall++;
for( icall=0; icall<nicall; icall++ ) {
for( jcall=0; jcall<njcall[icall]; jcall++ ) {
iblok = 0;
jc = 0;
jjd = 0;
for( jj=0; jj<numBoxIndexLeaf; jj++ ) njj[jj] = 0;
for( ii=boxOffsetStart[icall]; ii<=boxOffsetEnd[icall]; ii++ ) {
if( numInteraction[ii] != 0 ) {
for( ij=interactionListOffsetStart[jcall][ii]; ij<=interactionListOffsetEnd[jcall][ii]; ij++ ) {
jj = interactionList[ii][ij];
if( njj[jj] == 0 ) {
jbase[jjd] = jc;
for( j=particleOffset[0][jj]; j<=particleOffset[1][jj]; j++ ) {
hostPosSource[jc] = *(float4*) &bodyPos[j];
jc++;
}
jsize[jjd] = jc-jbase[jjd];
jjd++;
njj[jj] = jjd;
}
}
ibase = particleOffset[0][ii];
isize = particleOffset[1][ii]-ibase+1;
for( is=0; is<isize; is+=threadsPerBlockTypeA ) {
for( i=0; i<std::min(isize-is,threadsPerBlockTypeA); i++ ) {
im = iblok*threadsPerBlockTypeA+i;
hostPosTarget[im] = *(float3*) &bodyPos[ibase+is+i];
}
for( i=isize-is; i<threadsPerBlockTypeA; i++ ) {
im = iblok*threadsPerBlockTypeA+i;
hostPosTarget[im].x = 0;
hostPosTarget[im].y = 0;
hostPosTarget[im].z = 0;
}
hostOffset[iblok*offsetStride] = interactionListOffsetEnd[jcall][ii]
-interactionListOffsetStart[jcall][ii]+1;
ijc = 0;
for( ij=interactionListOffsetStart[jcall][ii]; ij<=interactionListOffsetEnd[jcall][ii]; ij++ ) {
jj = interactionList[ii][ij];
if( njj[jj] != 0 ) {
jjdd = njj[jj]-1;
hostOffset[iblok*offsetStride+2*ijc+1] = jbase[jjdd];
hostOffset[iblok*offsetStride+2*ijc+2] = jsize[jjdd];
op += (double) threadsPerBlockTypeA*jsize[jjdd];
ijc++;
}
}
iblok++;
}
}
}
if( iblok != 0 ) {
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpy(deviceOffset,hostOffset,hostOffsetSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(devicePosTarget,hostPosTarget,hostPosTargetSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(devicePosSource,hostPosSource,hostPosSourceSize,cudaMemcpyHostToDevice));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
dim3 block(threadsPerBlockTypeA);
dim3 grid(iblok);
p2p_kernel<<< grid, block >>>(deviceOffset,devicePosTarget,devicePosSource,deviceAccel);
cudaCheckError();
nflop = 19;
toc=tic;
tic=get_gpu_time();
t[3]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpy(hostAccel,deviceAccel,hostAccelSize,cudaMemcpyDeviceToHost));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
}
iblok = 0;
for( ii=boxOffsetStart[icall]; ii<=boxOffsetEnd[icall]; ii++ ) {
if( numInteraction[ii] != 0 ) {
ibase = particleOffset[0][ii];
isize = particleOffset[1][ii]-ibase+1;
for( is=0; is<isize; is+=threadsPerBlockTypeA ) {
for( i=0; i<std::min(isize-is,threadsPerBlockTypeA); i++ ) {
im = iblok*threadsPerBlockTypeA+i;
bodyAccel[ibase+is+i].x += inv4PI*hostAccel[im].x;
bodyAccel[ibase+is+i].y += inv4PI*hostAccel[im].y;
bodyAccel[ibase+is+i].z += inv4PI*hostAccel[im].z;
}
iblok++;
}
}
}
}
}
free(hostOffset);
free(hostPosTarget);
free(hostPosSource);
free(hostAccel);
for( i=0; i<maxM2LInteraction; i++ ) delete[] interactionListOffsetStart[i];
delete[] interactionListOffsetStart;
for( i=0; i<maxM2LInteraction; i++ ) delete[] interactionListOffsetEnd[i];
delete[] interactionListOffsetEnd;
delete[] jbase;
delete[] jsize;
delete[] njcall;
delete[] njj;
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
for(i=0;i<9;i++) t[9]+=t[i];
flops=op*((double)nflop)/t[9];
// printf("p2p cudaMalloc : %f s\n",t[1]);
// printf("p2p cudaMemcpy : %f s\n",t[2]);
// printf("p2p cudaKernel : %f s\n",t[3]);
// printf("p2p other : %f s\n",t[0]);
// printf("p2p flops : %f G\n",flops/1e9);
tic=flops;
}
// p2m
void FmmKernel::p2m(int numBoxIndex) {
int ncall,jj,icall,iblok,jc,jbase,j,jsize,jm;
int i,ni,nj,nflop;
const int offsetStride = 3;
double tic,toc,flops,t[10],boxSize,op=0;
for(i=0;i<10;i++) t[i]=0;
tic=get_gpu_time();
boxSize = rootBoxSize/(1 << maxLevel);
hostConstantSize=sizeof(float)*4;
hostOffsetSize=sizeof(int)*targetBufferSize/threadsPerBlockTypeB*offsetStride;
hostMnmTargetSize=sizeof(float)*2*targetBufferSize;
hostPosSourceSize=sizeof(float4)*sourceBufferSize;
hostConstant=(float *)malloc(hostConstantSize);
hostOffset=(int *)malloc(hostOffsetSize);
hostMnmTarget=(float *)malloc(hostMnmTargetSize);
hostPosSource=(float4 *)malloc(hostPosSourceSize);
hostConstant[0]=(float) boxSize;
hostConstant[1]=(float) boxMin.x;
hostConstant[2]=(float) boxMin.y;
hostConstant[3]=(float) boxMin.z;
if (is_set==0) {
CUDA_SAFE_CALL(cudaSetDevice(0));
is_set=1;
}
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
if (hostOffsetSize>deviceOffsetSize) {
if(deviceOffsetSize!=0) CUDA_SAFE_CALL(cudaFree(deviceOffset));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceOffset,hostOffsetSize));
deviceOffsetSize=hostOffsetSize;
}
if (hostMnmTargetSize>deviceMnmTargetSize) {
if(deviceMnmTargetSize!=0) CUDA_SAFE_CALL(cudaFree(deviceMnmTarget));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceMnmTarget,hostMnmTargetSize));
deviceMnmTargetSize=hostMnmTargetSize;
}
if (hostPosSourceSize>devicePosSourceSize) {
if(devicePosSourceSize!=0) CUDA_SAFE_CALL(cudaFree(devicePosSource));
CUDA_SAFE_CALL(cudaMalloc((void**)&devicePosSource,hostPosSourceSize));
devicePosSourceSize=hostPosSourceSize;
}
toc=tic;
tic=get_gpu_time();
t[1]+=tic-toc;
ni = 0;
nj = 0;
ncall = 0;
boxOffsetStart[0] = 0;
for( jj=0; jj<numBoxIndex; jj++ ) {
ni += ((numCoefficients+threadsPerBlockTypeB)/threadsPerBlockTypeB+1)*threadsPerBlockTypeB;
nj += particleOffset[1][jj]-particleOffset[0][jj]+1;
if( ni > targetBufferSize || nj > sourceBufferSize ) {
boxOffsetEnd[ncall] = jj-1;
ncall++;
boxOffsetStart[ncall] = jj;
ni = ((numCoefficients+threadsPerBlockTypeB)/threadsPerBlockTypeB+1)*threadsPerBlockTypeB;
nj = particleOffset[1][jj]-particleOffset[0][jj]+1;
}
}
boxOffsetEnd[ncall] = numBoxIndex-1;
if(numBoxIndex != 0) ncall++;
for( icall=0; icall<ncall; icall++ ) {
iblok = 0;
jc = 0;
for( jj=boxOffsetStart[icall]; jj<=boxOffsetEnd[icall]; jj++ ) {
jbase = jc;
for( j=particleOffset[0][jj]; j<=particleOffset[1][jj]; j++ ) {
hostPosSource[jc] = *(float4*) &bodyPos[j];
jc++;
}
jsize = jc-jbase;
hostOffset[iblok*offsetStride] = boxIndexFull[jj];
hostOffset[iblok*offsetStride+1] = jbase;
hostOffset[iblok*offsetStride+2] = jsize;
op += threadsPerBlockTypeB*jsize;
iblok++;
}
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpyToSymbol(deviceConstant,hostConstant,hostConstantSize));
CUDA_SAFE_CALL(cudaMemcpy(deviceOffset,hostOffset,hostOffsetSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(devicePosSource,hostPosSource,hostPosSourceSize,cudaMemcpyHostToDevice));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
dim3 block(threadsPerBlockTypeB);
dim3 grid(iblok);
p2m_kernel<<< grid, block >>>(deviceOffset,deviceMnmTarget,devicePosSource);
cudaCheckError();
nflop = 20;
toc=tic;
tic=get_gpu_time();
t[3]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpy(hostMnmTarget,deviceMnmTarget,hostMnmTargetSize,cudaMemcpyDeviceToHost));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
iblok = 0;
for( jj=boxOffsetStart[icall]; jj<=boxOffsetEnd[icall]; jj++ ) {
for( j=0; j<numCoefficients; j++ ) {
jm = iblok*threadsPerBlockTypeB+j;
Mnm[jj][j] = std::complex<double>(hostMnmTarget[2*jm+0],hostMnmTarget[2*jm+1]);
}
iblok++;
}
}
free(hostConstant);
free(hostOffset);
free(hostMnmTarget);
free(hostPosSource);
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
for(i=0;i<9;i++) t[9]+=t[i];
flops=op*((double)nflop)/t[9];
// printf("p2m cudaMalloc : %f s\n",t[1]);
// printf("p2m cudaMemcpy : %f s\n",t[2]);
// printf("p2m cudaKernel : %f s\n",t[3]);
// printf("p2m other : %f s\n",t[0]);
// printf("p2m flops : %f G\n",flops/1e9);
tic=flops;
}
// m2m
void FmmKernel::m2m(int numBoxIndex, int numBoxIndexOld, int numLevel) {
int n,m,npm,nmm,je,k,nmk,ii,ib,j,ncall,jj,icall;
int iblok,jc,nfic,jb,jbase,jsize,nfip,jm;
int i,nj,nk,nflop;
vec3<int> boxIndex3D;
const int offsetStride = 3;
double tic,toc,flops,t[10],boxSize,op=0;
for(i=0;i<10;i++) t[i]=0;
tic=get_gpu_time();
boxSize = rootBoxSize/(1 << numLevel);
hostConstantSize=sizeof(float)*4;
hostOffsetSize=sizeof(int)*targetBufferSize/threadsPerBlockTypeB*offsetStride;
hostMnmTargetSize=sizeof(float)*2*targetBufferSize;
hostMnmSourceSize=sizeof(float)*2*sourceBufferSize;
hostYnmSize=sizeof(float)*2*numExpansion2;
hostDnmSize=sizeof(float)*2*DnmSize*2*numRelativeBox;
hostConstant=(float *)malloc(hostConstantSize);
hostOffset=(int *)malloc(hostOffsetSize);
hostMnmTarget=(float *)malloc(hostMnmTargetSize);
hostMnmSource=(float *)malloc(hostMnmSourceSize);
hostYnm=(float *)malloc(hostYnmSize);
hostDnm=(float *)malloc(hostDnmSize);
hostConstant[0]=(float) boxSize;
hostConstant[1]=0;
hostConstant[2]=0;
hostConstant[3]=0;
if (is_set==0) {
CUDA_SAFE_CALL(cudaSetDevice(0));
is_set=1;
}
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
if (hostOffsetSize>deviceOffsetSize) {
if(deviceOffsetSize!=0) CUDA_SAFE_CALL(cudaFree(deviceOffset));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceOffset,hostOffsetSize));
deviceOffsetSize=hostOffsetSize;
}
if (hostMnmTargetSize>deviceMnmTargetSize) {
if(deviceMnmTargetSize!=0) CUDA_SAFE_CALL(cudaFree(deviceMnmTarget));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceMnmTarget,hostMnmTargetSize));
deviceMnmTargetSize=hostMnmTargetSize;
}
if (hostMnmSourceSize>deviceMnmSourceSize) {
if(deviceMnmSourceSize!=0) CUDA_SAFE_CALL(cudaFree(deviceMnmSource));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceMnmSource,hostMnmSourceSize));
deviceMnmSourceSize=hostMnmSourceSize;
}
if (hostYnmSize>deviceYnmSize) {
if(deviceYnmSize!=0) CUDA_SAFE_CALL(cudaFree(deviceYnm));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceYnm,hostYnmSize));
deviceYnmSize=hostYnmSize;
}
if (hostDnmSize>deviceDnmSize) {
if(deviceDnmSize!=0) CUDA_SAFE_CALL(cudaFree(deviceDnm));
CUDA_SAFE_CALL(cudaMalloc((void**)&deviceDnm,hostDnmSize));
deviceDnmSize=hostDnmSize;
}
toc=tic;
tic=get_gpu_time();
t[1]+=tic-toc;
for( m=0; m<numExpansions; m++ ) {
for( n=m; n<numExpansions; n++ ) {
npm = n*n+n+m;
nmm = n*n+n-m;
hostYnm[2*npm+0] = std::real(Ynm[npm]);
hostYnm[2*nmm+0] = std::real(Ynm[nmm]);
hostYnm[2*npm+1] = std::imag(Ynm[npm]);
hostYnm[2*nmm+1] = std::imag(Ynm[nmm]);
}
}
for( je=0; je<2*numRelativeBox; je++ ) {
for( n=0; n<numExpansions; n++ ) {
for( m=0; m<=n; m++ ) {
for( k=-n; k<=n; k++ ) {
nk = n*(n+1)+k;
nmk = (4*n*n*n+6*n*n+5*n)/3+m*(2*n+1)+k+je*DnmSize;
hostDnm[2*nmk+0] = std::real(Dnm[je][m][nk]);
hostDnm[2*nmk+1] = std::imag(Dnm[je][m][nk]);
}
}
}
}
for( ii=0; ii<numBoxIndex; ii++ ) {
ib = ii+levelOffset[numLevel-1];
for( j=0; j<numCoefficients; j++ ) {
Mnm[ib][j] = 0;
}
}
nj = 0;
ncall = 0;
boxOffsetStart[0] = 0;
for( jj=0; jj<numBoxIndexOld; jj++ ) {
nj += threadsPerBlockTypeB;
if( nj > sourceBufferSize ) {
boxOffsetEnd[ncall] = jj-1;
ncall++;
boxOffsetStart[ncall] = jj;
nj = threadsPerBlockTypeB;
}
}
boxOffsetEnd[ncall] = numBoxIndexOld-1;
if(numBoxIndexOld != 0) ncall++;
for( icall=0; icall<ncall; icall++ ) {
iblok = 0;
jc = 0;
for( jj=boxOffsetStart[icall]; jj<=boxOffsetEnd[icall]; jj++ ) {
jb = jj+levelOffset[numLevel];
nfic = boxIndexFull[jb]%8;
tree.unmorton(nfic,boxIndex3D);
boxIndex3D.x = 4-boxIndex3D.x*2;
boxIndex3D.y = 4-boxIndex3D.y*2;
boxIndex3D.z = 4-boxIndex3D.z*2;
tree.morton1(boxIndex3D,je,3);
jbase = jc;
for( j=0; j<numCoefficients; j++ ) {
hostMnmSource[2*jc+0] = std::real(Mnm[jb][j]);
hostMnmSource[2*jc+1] = std::imag(Mnm[jb][j]);
jc++;
}
jsize = jc-jbase;
hostOffset[iblok*offsetStride] = 1;
hostOffset[iblok*offsetStride+1] = jbase;
hostOffset[iblok*offsetStride+2] = je+1;
op += threadsPerBlockTypeB*jsize;
iblok++;
}
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpyToSymbol(deviceConstant,hostConstant,hostConstantSize));
CUDA_SAFE_CALL(cudaMemcpy(deviceOffset,hostOffset,hostOffsetSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(deviceMnmSource,hostMnmSource,hostMnmSourceSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(deviceYnm,hostYnm,hostYnmSize,cudaMemcpyHostToDevice));
CUDA_SAFE_CALL(cudaMemcpy(deviceDnm,hostDnm,hostDnmSize,cudaMemcpyHostToDevice));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
dim3 block(threadsPerBlockTypeB);
dim3 grid(iblok);
m2m_kernel<<< grid, block >>>(deviceOffset,deviceMnmTarget,deviceMnmSource,deviceYnm,deviceDnm);
cudaCheckError();
nflop = 48;
toc=tic;
tic=get_gpu_time();
t[3]+=tic-toc;
CUDA_SAFE_CALL(cudaMemcpy(hostMnmTarget,deviceMnmTarget,hostMnmTargetSize,cudaMemcpyDeviceToHost));
toc=tic;
tic=get_gpu_time();
t[2]+=tic-toc;
iblok = 0;
for( jj=boxOffsetStart[icall]; jj<=boxOffsetEnd[icall]; jj++ ) {
jb = jj+levelOffset[numLevel];
nfip = boxIndexFull[jb]/8;
ib = boxIndexMask[nfip]+levelOffset[numLevel-1];
for( j=0; j<numCoefficients; j++ ) {
jm = iblok*threadsPerBlockTypeB+j;
Mnm[ib][j] += std::complex<double>(hostMnmTarget[2*jm+0],hostMnmTarget[2*jm+1]);
}
iblok++;
}
}
free(hostConstant);
free(hostOffset);
free(hostMnmTarget);
free(hostMnmSource);
free(hostYnm);
free(hostDnm);
toc=tic;
tic=get_gpu_time();
t[0]+=tic-toc;
for(i=0;i<9;i++) t[9]+=t[i];
flops=op*((double)nflop)/t[9];
// printf("m2m cudaMalloc : %f s\n",t[1]);
// printf("m2m cudaMemcpy : %f s\n",t[2]);
// printf("m2m cudaKernel : %f s\n",t[3]);
// printf("m2m other : %f s\n",t[0]);
// printf("m2m flops : %f G\n",flops/1e9);
tic=flops;
}
// m2l
void FmmKernel::m2l(int numBoxIndex, int numLevel) {
int i,j,m,n,npm,nmm,je,k,nmk,ncall,jj,ii,ib,ij,icall,iblok,jc,jjd;