void gp_mem_b_put(MemBlock_t *I_memory, unsigned int Byte_address, uint8_t Value, const char *Section_name, const char *Symbol_name) { unsigned int block = IMemBaseFromAddr(Byte_address); unsigned int offset = IMemOffsFromAddr(Byte_address); MemBlock_t *m = I_memory; MemByte_t *b; while (m != NULL) { if (m->base == block) { if (m->memory == NULL) { m->memory = (MemByte_t *)GP_Calloc(I_MEM_MAX, sizeof(MemByte_t)); } b = &m->memory[offset]; if (b->section_name == NULL) { _store_section_name(b, Section_name); } if (b->symbol_name == NULL) { _store_symbol_name(b, Symbol_name); } b->data.byte = Value; b->data.is_byte_used = true; return; } m = m->next; } /* Couldn't find an address to write this value. This must be the first time we've tried to write to high memory some place. */ m = _memory_new(I_memory, (MemBlock_t *)GP_Malloc(sizeof(MemBlock_t)), Byte_address); b = &m->memory[offset]; b->data.byte = Value; b->data.is_byte_used = true; _store_section_name(b, Section_name); _store_symbol_name(b, Symbol_name); }
int main(int argc, char **argv) { int nmax, nprocs, me, me_plus; int g_a_data, g_a_i, g_a_j, isize; int gt_a_data, gt_a_i, gt_a_j; int g_b, g_c; int i, j, jj, k, one, jcnt; int chunk, kp1, ld; int *p_i, *p_j; double *p_data, *p_b, *p_c; double t_beg, t_beg2, t_ga_tot, t_get, t_mult, t_cnstrct, t_mpi_in, t_ga_in; double t_hypre_strct, t_ga_trans, t_gp_get; double t_get_blk_csr, t_trans_blk_csr, t_trans_blk, t_create_csr_ga, t_beg3; double t_gp_tget, t_gp_malloc, t_gp_assign, t_beg4; double prdot, dotga, dothypre, tempc; double prtot, gatot, hypretot, gatot2, hypretot2; double prdot2, prtot2; int status; int idim, jdim, kdim, idum, memsize; int lsize, ntot; int heap=200000, fudge=100, stack=200000, ma_heap; double *cbuf, *vector; int pdi, pdj, pdk, ip, jp, kp, ncells; int lo[3],hi[3]; int blo[3], bhi[3]; int ld_a, ld_b, ld_c, ld_i, ld_j, irows, ioff, joff, total_procs; int iproc, iblock, btot; double *amat, *bvec; int *ivec, *jvec; int *proclist, *proc_inv, *icnt; int *voffset, *offset, *mapc; int iloop, lo_bl, hi_bl; char *buf, **buf_ptr; int *iparams, *jval, *ival; double *rval, *rvalt; int imin, imax, jmin, jmax, irow, icol, nnz; int nrows, kmin, kmax, lmin, lmax, jdx; int LOOPNUM = 100; void **blk_ptr; void *blk; int blk_size, tsize, zero; int *iblk, *jblk, *blkidx; int *tblk_ptr; int *ivalt, *jvalt, *iparamst; int *iblk_t, *jblk_t, *blkidx_t; /* Hypre declarations */ int ierr; #if USE_HYPRE HYPRE_StructGrid grid; HYPRE_StructStencil stencil; HYPRE_StructMatrix matrix; HYPRE_StructVector vec_x, vec_y; int i4, j4, ndim, nelems, offsets[7][3]; int stencil_indices[7], hlo[3], hhi[3]; double weights[7]; double *values; double alpha, beta; int *rows, *cols; #endif /* *** Intitialize a message passing library */ zero = 0; one = 1; ierr = MPI_Init(&argc, &argv); /* *** Initialize GA There are 2 choices: ga_initialize or ga_initialize_ltd. In the first case, there is no explicit limit on memory usage. In the second, user can set limit (per processor) in bytes. */ t_beg = GA_Wtime(); NGA_Initialize(); GP_Initialize(); t_ga_in = GA_Wtime() - t_beg; NGA_Dgop(&t_ga_in,one,"+"); t_ga_tot = 0.0; t_ga_trans = 0.0; t_get_blk_csr = 0.0; t_create_csr_ga = 0.0; t_trans_blk_csr = 0.0; t_trans_blk = 0.0; t_gp_get = 0.0; t_gp_malloc = 0.0; t_gp_assign = 0.0; t_mult = 0.0; t_get = 0.0; t_gp_tget = 0.0; t_hypre_strct = 0.0; prtot = 0.0; prtot2 = 0.0; gatot = 0.0; hypretot = 0.0; me = NGA_Nodeid(); me_plus = me + 1; nprocs = NGA_Nnodes(); if (me == 0) { printf("Time to initialize GA: %12.4f\n", t_ga_in/((double)nprocs)); } /* we can also use GA_set_memory_limit BEFORE first ga_create call */ ma_heap = heap + fudge; /* call GA_set_memory_limit(util_mdtob(ma_heap)) */ if (me == 0) { printf("\nNumber of cores used: %d\n\nGA initialized\n\n",nprocs); } /* *** Initialize the MA package MA must be initialized before any global array is allocated */ if (!MA_init(MT_DBL, stack, ma_heap)) NGA_Error("ma_init failed",-1); /* create a sparse LMAX x LMAX matrix and two vectors of length LMAX. The matrix is stored in compressed row format. One of the vectors is filled with random data and the other is filled with zeros. */ idim = IMAX; jdim = JMAX; kdim = KMAX; ntot = idim*jdim*kdim; if (me == 0) { printf("\nDimension of matrix: %d\n\n",ntot); } t_beg = GA_Wtime(); grid_factor(nprocs,idim,jdim,kdim,&pdi,&pdj,&pdk); if (me == 0) { printf("\nProcessor grid configuration\n"); printf(" PDX: %d\n",pdi); printf(" PDY: %d\n",pdj); printf(" PDZ: %d\n\n",pdk); printf(" Number of Loops: %d\n",LOOPNUM); } create_laplace_mat(idim,jdim,kdim,pdi,pdj,pdk,&g_a_data,&g_a_j,&g_a_i,&mapc); t_cnstrct = GA_Wtime() - t_beg; g_b = NGA_Create_handle(); NGA_Set_data(g_b,one,&ntot,MT_DBL); NGA_Set_irreg_distr(g_b,mapc,&nprocs); status = NGA_Allocate(g_b); /* fill g_b with random values */ NGA_Distribution(g_b,me,blo,bhi); NGA_Access(g_b,blo,bhi,&p_b,&ld); ld = bhi[0]-blo[0]+1; btot = ld; vector = (double*)malloc(ld*sizeof(double)); for (i=0; i<ld; i++) { idum = 0; p_b[i] = ran3(&idum); vector[i] = p_b[i]; } NGA_Release(g_b,blo,bhi); NGA_Sync(); g_c = NGA_Create_handle(); NGA_Set_data(g_c,one,&ntot,MT_DBL); NGA_Set_irreg_distr(g_c,mapc,&nprocs); status = NGA_Allocate(g_c); NGA_Zero(g_c); #if USE_HYPRE /* Assemble HYPRE grid and use that to create matrix. Start by creating grid partition */ ndim = 3; i = me; ip = i%pdi; i = (i-ip)/pdi; jp = i%pdj; kp = (i-jp)/pdj; lo[0] = (int)(((double)idim)*((double)ip)/((double)pdi)); if (ip < pdi-1) { hi[0] = (int)(((double)idim)*((double)(ip+1))/((double)pdi)) - 1; } else { hi[0] = idim - 1; } lo[1] = (int)(((double)jdim)*((double)jp)/((double)pdj)); if (jp < pdj-1) { hi[1] = (int)(((double)jdim)*((double)(jp+1))/((double)pdj)) - 1; } else { hi[1] = jdim - 1; } lo[2] = (int)(((double)kdim)*((double)kp)/((double)pdk)); if (kp < pdk-1) { hi[2] = (int)(((double)kdim)*((double)(kp+1))/((double)pdk)) - 1; } else { hi[2] = kdim - 1; } /* Create grid */ hlo[0] = lo[0]; hlo[1] = lo[1]; hlo[2] = lo[2]; hhi[0] = hi[0]; hhi[1] = hi[1]; hhi[2] = hi[2]; ierr = HYPRE_StructGridCreate(MPI_COMM_WORLD, ndim, &grid); ierr = HYPRE_StructGridSetExtents(grid, hlo, hhi); ierr = HYPRE_StructGridAssemble(grid); /* Create stencil */ offsets[0][0] = 0; offsets[0][1] = 0; offsets[0][2] = 0; offsets[1][0] = 1; offsets[1][1] = 0; offsets[1][2] = 0; offsets[2][0] = 0; offsets[2][1] = 1; offsets[2][2] = 0; offsets[3][0] = 0; offsets[3][1] = 0; offsets[3][2] = 1; offsets[4][0] = -1; offsets[4][1] = 0; offsets[4][2] = 0; offsets[5][0] = 0; offsets[5][1] = -1; offsets[5][2] = 0; offsets[6][0] = 0; offsets[6][1] = 0; offsets[6][2] = -1; nelems = 7; ierr = HYPRE_StructStencilCreate(ndim, nelems, &stencil); for (i=0; i<nelems; i++) { ierr = HYPRE_StructStencilSetElement(stencil, i, offsets[i]); } ncells = (hi[0]-lo[0]+1)*(hi[1]-lo[1]+1)*(hi[2]-lo[2]+1); jcnt = 7*ncells; values = (double*)malloc(jcnt*sizeof(double)); jcnt = 0; weights[0] = 6.0; weights[1] = -1.0; weights[2] = -1.0; weights[3] = -1.0; weights[4] = -1.0; weights[5] = -1.0; weights[6] = -1.0; for (i=0; i<ncells; i++) { for (j=0; j<7; j++) { values[jcnt] = weights[j]; jcnt++; } } ierr = HYPRE_StructMatrixCreate(MPI_COMM_WORLD, grid, stencil, &matrix); ierr = HYPRE_StructMatrixInitialize(matrix); for (i=0; i<7; i++) { stencil_indices[i] = i; } ierr = HYPRE_StructMatrixSetBoxValues(matrix, hlo, hhi, 7, stencil_indices, values); free(values); /* Check all six sides of current box to see if any are boundaries. Set values to zero if they are. */ if (hi[0] == idim-1) { ncells = (hi[1]-lo[1]+1)*(hi[2]-lo[2]+1); hlo[0] = idim-1; hhi[0] = idim-1; hlo[1] = lo[1]; hhi[1] = hi[1]; hlo[2] = lo[2]; hhi[2] = hi[2]; values = (double*)malloc(ncells*sizeof(double)); for (i=0; i<ncells; i++) values[i] = 0.0; i4 = 1; j4 = 1; ierr = HYPRE_StructMatrixSetBoxValues(matrix, hlo, hhi, i4, &j4, values); free(values); } if (hi[1] == jdim-1) { ncells = (hi[0]-lo[0]+1)*(hi[2]-lo[2]+1); hlo[0] = lo[0]; hhi[0] = hi[0]; hlo[1] = jdim-1; hhi[1] = jdim-1; hlo[2] = lo[2]; hhi[2] = hi[2]; values = (double*)malloc(ncells*sizeof(double)); for (i=0; i<ncells; i++) values[i] = 0.0; i4 = 1; j4 = 2; ierr = HYPRE_StructMatrixSetBoxValues(matrix, hlo, hhi, i4, &j4, values); free(values); } if (hi[2] == kdim-1) { ncells = (hi[0]-lo[0]+1)*(hi[1]-lo[1]+1); hlo[0] = lo[0]; hhi[0] = hi[0]; hlo[1] = lo[1]; hhi[1] = hi[1]; hlo[2] = kdim-1; hhi[2] = kdim-1; values = (double*)malloc(ncells*sizeof(double)); for (i=0; i<ncells; i++) values[i] = 0.0; i4 = 1; j4 = 3; ierr = HYPRE_StructMatrixSetBoxValues(matrix, hlo, hhi, i4, &j4, values); free(values); } if (lo[0] == 0) { ncells = (hi[1]-lo[1]+1)*(hi[2]-lo[2]+1); hlo[0] = 0; hhi[0] = 0; hlo[1] = lo[1]; hhi[1] = hi[1]; hlo[2] = lo[2]; hhi[2] = hi[2]; values = (double*)malloc(ncells*sizeof(double)); for (i=0; i<ncells; i++) values[i] = 0.0; i4 = 1; j4 = 4; ierr = HYPRE_StructMatrixSetBoxValues(matrix, hlo, hhi, i4, &j4, values); free(values); } if (lo[1] == 0) { ncells = (hi[0]-lo[0]+1)*(hi[2]-lo[2]+1); hlo[0] = lo[0]; hhi[0] = hi[0]; hlo[1] = 0; hhi[1] = 0; hlo[2] = lo[2]; hhi[2] = hi[2]; values = (double*)malloc(ncells*sizeof(double)); for (i=0; i<ncells; i++) values[i] = 0.0; i4 = 1; j4 = 5; ierr = HYPRE_StructMatrixSetBoxValues(matrix, hlo, hhi, i4, &j4, values); free(values); } if (lo[2] == 1) { ncells = (hi[1]-lo[1]+1)*(hi[2]-lo[2]+1); hlo[0] = lo[0]; hhi[0] = hi[0]; hlo[1] = lo[1]; hhi[1] = hi[1]; hlo[2] = 0; hhi[2] = 0; values = (double*)malloc(ncells*sizeof(double)); for (i=0; i<ncells; i++) values[i] = 0.0; i4 = 1; j4 = 6; ierr = HYPRE_StructMatrixSetBoxValues(matrix, hlo, hhi, i4, &j4, values); free(values); } ierr = HYPRE_StructMatrixAssemble(matrix); /* Create vectors for matrix-vector multiply */ ierr = HYPRE_StructVectorCreate(MPI_COMM_WORLD, grid, &vec_x); ierr = HYPRE_StructVectorInitialize(vec_x); hlo[0] = lo[0]; hlo[1] = lo[1]; hlo[2] = lo[2]; hhi[0] = hi[0]; hhi[1] = hi[1]; hhi[2] = hi[2]; ierr = HYPRE_StructVectorSetBoxValues(vec_x, hlo, hhi, vector); ierr = HYPRE_StructVectorAssemble(vec_x); NGA_Distribution(g_a_i,me,blo,bhi); if (bhi[1] > ntot-1) { bhi[1] = ntot-1; } btot = (hi[0]-lo[0]+1)*(hi[1]-lo[1]+1)*(hi[2]-lo[2]+1); for (i=0; i<btot; i++) vector[i] = 0.0; hlo[0] = lo[0]; hlo[1] = lo[1]; hlo[2] = lo[2]; hhi[0] = hi[0]; hhi[1] = hi[1]; hhi[2] = hi[2]; ierr = HYPRE_StructVectorGetBoxValues(vec_x, hlo, hhi, vector); for (i=0; i<btot; i++) vector[i] = 0.0; ierr = HYPRE_StructVectorCreate(MPI_COMM_WORLD, grid, &vec_y); ierr = HYPRE_StructVectorInitialize(vec_y); ierr = HYPRE_StructVectorSetBoxValues(vec_y, hlo, hhi, vector); ierr = HYPRE_StructVectorAssemble(vec_y); #endif /* Multiply sparse matrix. Start by accessing pointers to local portions of g_a_data, g_a_j, g_a_i */ NGA_Sync(); for (iloop=0; iloop<LOOPNUM; iloop++) { t_beg2 = GA_Wtime(); NGA_Distribution(g_c,me,blo,bhi); NGA_Access(g_c,blo,bhi,&p_c,&ld_c); for (i = 0; i<bhi[0]-blo[0]+1; i++) { p_c[i] = 0.0; } /* get number of matrix blocks coupled to this process */ NGA_Get(g_a_i,&me,&me,&lo_bl,&one); #if 1 NGA_Get(g_a_i,&me_plus,&me_plus,&hi_bl,&one); hi_bl--; total_procs = hi_bl - lo_bl + 1; blk_ptr = (void**)malloc(sizeof(void*)); /* Loop through matrix blocks */ ioff = 0; for (iblock = 0; iblock<total_procs; iblock++) { t_beg = GA_Wtime(); jdx = lo_bl+iblock; #if 0 GP_Access_element(g_a_data, &jdx, &blk_ptr[0], &isize); #endif #if 1 GP_Get_size(g_a_data, &jdx, &jdx, &isize); #endif blk = (void*)malloc(isize); #if 1 GP_Get(g_a_data, &jdx, &jdx, blk, blk_ptr, &one, &blk_size, &one, &tsize, 0); #endif t_gp_get = t_gp_get + GA_Wtime() - t_beg; iparams = (int*)blk_ptr[0]; rval = (double*)(iparams+7); imin = iparams[0]; imax = iparams[1]; jmin = iparams[2]; jmax = iparams[3]; irow = iparams[4]; icol = iparams[5]; nnz = iparams[6]; jval = (int*)(rval+nnz); ival = (int*)(jval+nnz); nrows = imax - imin + 1; bvec = (double*)malloc((jmax-jmin+1)*sizeof(double)); j = 0; t_beg = GA_Wtime(); NGA_Get(g_b,&jmin,&jmax,bvec,&j); t_get = t_get + GA_Wtime() - t_beg; t_beg = GA_Wtime(); for (i=0; i<nrows; i++) { kmin = ival[i]; kmax = ival[i+1]-1; tempc = 0.0; for (j = kmin; j<=kmax; j++) { jj = jval[j]; tempc = tempc + rval[j]*bvec[jj]; } p_c[i] = p_c[i] + tempc; } t_mult = t_mult + GA_Wtime() - t_beg; free(bvec); free(blk); } NGA_Sync(); t_ga_tot = t_ga_tot + GA_Wtime() - t_beg2; NGA_Distribution(g_c,me,blo,bhi); NGA_Release(g_c,blo,bhi); #if USE_HYPRE alpha = 1.0; beta = 0.0; t_beg = GA_Wtime(); ierr = HYPRE_StructMatrixMatvec(alpha, matrix, vec_x, beta, vec_y); t_hypre_strct = t_hypre_strct + GA_Wtime() - t_beg; hlo[0] = lo[0]; hlo[1] = lo[1]; hlo[2] = lo[2]; hhi[0] = hi[0]; hhi[1] = hi[1]; hhi[2] = hi[2]; ierr = HYPRE_StructVectorGetBoxValues(vec_y, hlo, hhi, vector); NGA_Distribution(g_c,me,hlo,hhi); cbuf = (double*)malloc((hhi[0]-hlo[0]+1)*sizeof(double)); NGA_Get(g_c,hlo,hhi,cbuf,&one); prdot = 0.0; dotga = 0.0; dothypre = 0.0; for (i=0; i<(hhi[0]-hlo[0]+1); i++) { dothypre = dothypre + vector[i]*vector[i]; dotga = dotga + cbuf[i]*cbuf[i]; prdot = prdot + (vector[i]-cbuf[i])*(vector[i]-cbuf[i]); } NGA_Dgop(&dotga,1,"+"); NGA_Dgop(&dothypre,1,"+"); NGA_Dgop(&prdot,1,"+"); gatot += sqrt(dotga); hypretot += sqrt(dothypre); prtot += sqrt(prdot); free(cbuf); #endif /* Transpose matrix. Start by making local copies of ival and jval arrays for the sparse matrix of blocks stored in the GP array */ #if 1 t_beg2 = GA_Wtime(); t_beg3 = GA_Wtime(); iblk = (int*)malloc((nprocs+1)*sizeof(int)); iblk_t = (int*)malloc((nprocs+1)*sizeof(int)); #if 0 NGA_Get(g_a_i,&zero,&nprocs,iblk,&one); #else if (me == 0) { NGA_Get(g_a_i,&zero,&nprocs,iblk,&one); } else { for (i=0; i<nprocs+1; i++) { iblk[i] = 0; } } GA_Igop(iblk,nprocs+1,"+"); #endif jblk = (int*)malloc(iblk[nprocs]*sizeof(int)); jblk_t = (int*)malloc(iblk[nprocs]*sizeof(int)); iblock = iblk[nprocs]-1; #if 0 NGA_Get(g_a_j,&zero,&iblock,jblk,&one); #else if (me == 0) { NGA_Get(g_a_j,&zero,&iblock,jblk,&one); } else { for (i=0; i<iblock+1; i++) { jblk[i] = 0; } } GA_Igop(jblk,iblock+1,"+"); #endif iblock++; blkidx = (int*)malloc(iblk[nprocs]*sizeof(int)); blkidx_t = (int*)malloc(iblk[nprocs]*sizeof(int)); for (i=0; i<iblock; i++) { blkidx[i] = i; } iblock = nprocs; t_get_blk_csr = t_get_blk_csr + GA_Wtime() - t_beg3; t_beg3 = GA_Wtime(); stran(iblock, iblock, iblk, jblk, blkidx, iblk_t, jblk_t, blkidx_t); t_trans_blk_csr = t_trans_blk_csr + GA_Wtime() - t_beg3; t_beg3 = GA_Wtime(); gt_a_data = GP_Create_handle(); i = iblk_t[nprocs]; GP_Set_dimensions(gt_a_data, one, &i); GP_Set_irreg_distr(gt_a_data, iblk_t, &nprocs); GP_Allocate(gt_a_data); gt_a_j = NGA_Create_handle(); i = iblk_t[nprocs]; NGA_Set_data(gt_a_j, one, &i, C_INT); NGA_Set_irreg_distr(gt_a_j, iblk_t, &nprocs); NGA_Allocate(gt_a_j); gt_a_i = NGA_Create_handle(); i = nprocs+1; NGA_Set_data(gt_a_i,one,&i,C_INT); for (i=0; i<nprocs; i++) mapc[i] = i; NGA_Set_irreg_distr(gt_a_i, mapc, &nprocs); NGA_Allocate(gt_a_i); /* copy i and j arrays of transposed matrix into distributed arrays */ if (me==0) { lo_bl = 0; hi_bl = nprocs; NGA_Put(gt_a_i,&lo_bl,&hi_bl,iblk_t,&one); lo_bl = 0; hi_bl = iblk_t[nprocs]-1; NGA_Put(gt_a_j,&lo_bl,&hi_bl,jblk_t,&one); } NGA_Sync(); lo_bl = iblk[me]; hi_bl = iblk[me+1]; total_procs = hi_bl - lo_bl + 1; total_procs = hi_bl - lo_bl; t_create_csr_ga = t_create_csr_ga + GA_Wtime() - t_beg3; for (iblock = lo_bl; iblock < hi_bl; iblock++) { t_beg4 = GA_Wtime(); jdx = blkidx_t[iblock]; GP_Get_size(g_a_data, &jdx, &jdx, &isize); blk = (void*)malloc(isize); GP_Get(g_a_data, &jdx, &jdx, blk, blk_ptr, &one, &blk_size, &one, &tsize, 0); /* Parameters for original block */ iparams = (int*)blk_ptr[0]; rval = (double*)(iparams+7); imin = iparams[0]; imax = iparams[1]; jmin = iparams[2]; jmax = iparams[3]; irow = iparams[4]; icol = iparams[5]; nnz = iparams[6]; jval = (int*)(rval+nnz); ival = (int*)(jval+nnz); /* Create transposed block */ isize = 7*sizeof(int) + nnz*(sizeof(double)+sizeof(int)) + (jmax-jmin+2)*sizeof(int); t_gp_tget = t_gp_tget + GA_Wtime() - t_beg4; t_beg4 = GA_Wtime(); tblk_ptr = (int*)GP_Malloc(isize); t_gp_malloc = t_gp_malloc + GA_Wtime() - t_beg4; t_beg3 = GA_Wtime(); iparamst = (int*)tblk_ptr; rvalt = (double*)(iparamst+7); jvalt = (int*)(rvalt+nnz); ivalt = (int*)(jvalt+nnz); iparamst[0] = jmin; iparamst[1] = jmax; iparamst[2] = imin; iparamst[3] = imax; iparamst[4] = icol; iparamst[5] = irow; iparamst[6] = nnz; i = imax-imin+1; j = jmax-jmin+1; stranr(i, j, ival, jval, rval, ivalt, jvalt, rvalt); t_trans_blk = t_trans_blk + GA_Wtime() - t_beg3; t_beg4 = GA_Wtime(); GP_Assign_local_element(gt_a_data, &iblock, (void*)tblk_ptr, isize); t_gp_assign = t_gp_assign + GA_Wtime() - t_beg4; #if 1 free(blk); #endif } /* Clean up after transpose */ #if 1 free(iblk); free(iblk_t); free(jblk); free(jblk_t); free(blkidx); free(blkidx_t); #endif NGA_Sync(); t_ga_trans = t_ga_trans + GA_Wtime() - t_beg2; #if USE_HYPRE alpha = 1.0; beta = 0.0; ierr = HYPRE_StructMatrixMatvec(alpha, matrix, vec_x, beta, vec_y); hlo[0] = lo[0]; hlo[1] = lo[1]; hlo[2] = lo[2]; hhi[0] = hi[0]; hhi[1] = hi[1]; hhi[2] = hi[2]; ierr = HYPRE_StructVectorGetBoxValues(vec_y, hlo, hhi, vector); NGA_Distribution(g_c,me,hlo,hhi); cbuf = (double*)malloc((hhi[0]-hlo[0]+1)*sizeof(double)); NGA_Get(g_c,hlo,hhi,cbuf,&one); dothypre = 0.0; dotga = 0.0; prdot2 = 0.0; for (i=0; i<(hhi[0]-hlo[0]+1); i++) { dothypre = dothypre + vector[i]*vector[i]; dotga = dotga + cbuf[i]*cbuf[i]; if (fabs(vector[i]-cbuf[i]) > 1.0e-10) { printf("p[%d] i: %d vector: %f cbuf: %f\n",me,i,vector[i],cbuf[i]); } prdot2 = prdot2 + (vector[i]-cbuf[i])*(vector[i]-cbuf[i]); } NGA_Dgop(&dotga,1,"+"); NGA_Dgop(&dothypre,1,"+"); NGA_Dgop(&prdot2,1,"+"); prtot2 += sqrt(prdot2); gatot2 += sqrt(dotga); hypretot2 += sqrt(dothypre); free(cbuf); free(blk_ptr); #endif /* Clean up transposed matrix */ GP_Distribution(gt_a_data,me,blo,bhi); for (i=blo[0]; i<bhi[0]; i++) { GP_Free(GP_Free_local_element(gt_a_data,&i)); } GP_Destroy(gt_a_data); NGA_Destroy(gt_a_i); NGA_Destroy(gt_a_j); #endif #endif } free(vector); #if USE_HYPRE if (me == 0) { printf("Magnitude of GA solution: %e\n", gatot/((double)LOOPNUM)); printf("Magnitude of HYPRE solution: %e\n", hypretot/((double)LOOPNUM)); printf("Magnitude of GA solution(2): %e\n", gatot2/((double)LOOPNUM)); printf("Magnitude of HYPRE solution(2): %e\n", hypretot2/((double)LOOPNUM)); printf("Difference between GA and HYPRE (Struct) results: %e\n", prtot/((double)LOOPNUM)); printf("Difference between transpose and HYPRE results: %e\n", prtot2/((double)LOOPNUM)); } #endif /* Clean up arrays */ NGA_Destroy(g_b); NGA_Destroy(g_c); GP_Distribution(g_a_data,me,blo,bhi); for (i=blo[0]; i<bhi[0]; i++) { GP_Free(GP_Free_local_element(g_a_data,&i)); } GP_Destroy(g_a_data); NGA_Destroy(g_a_i); NGA_Destroy(g_a_j); #if USE_HYPRE ierr = HYPRE_StructStencilDestroy(stencil); ierr = HYPRE_StructGridDestroy(grid); ierr = HYPRE_StructMatrixDestroy(matrix); ierr = HYPRE_StructVectorDestroy(vec_x); ierr = HYPRE_StructVectorDestroy(vec_y); #endif NGA_Dgop(&t_cnstrct,1,"+"); NGA_Dgop(&t_get,1,"+"); NGA_Dgop(&t_gp_get,1,"+"); NGA_Dgop(&t_mult,1,"+"); NGA_Dgop(&t_ga_tot,1,"+"); NGA_Dgop(&t_ga_trans,1,"+"); NGA_Dgop(&t_get_blk_csr,1,"+"); NGA_Dgop(&t_trans_blk_csr,1,"+"); NGA_Dgop(&t_trans_blk,1,"+"); NGA_Dgop(&t_create_csr_ga,1,"+"); NGA_Dgop(&t_gp_tget,1,"+"); NGA_Dgop(&t_gp_malloc,1,"+"); NGA_Dgop(&t_gp_assign,1,"+"); #if USE_HYPRE NGA_Dgop(&t_hypre_strct,1,"+"); #endif free(mapc); if (me == 0) { printf("Time to create sparse matrix: %12.4f\n", t_cnstrct/((double)(nprocs*LOOPNUM))); printf("Time to get right hand side vector: %12.4f\n", t_get/((double)(nprocs*LOOPNUM))); printf("Time to get GP blocks: %12.4f\n", t_gp_get/((double)(nprocs*LOOPNUM))); printf("Time for sparse matrix block multiplication: %12.4f\n", t_mult/((double)(nprocs*LOOPNUM))); printf("Time for total sparse matrix multiplication: %12.4f\n", t_ga_tot/((double)(nprocs*LOOPNUM))); #if USE_HYPRE printf("Total time for HYPRE (Struct) matrix-vector multiply:%12.4f\n", t_hypre_strct/((double)(nprocs*LOOPNUM))); #endif printf("Time to get block CSR distribution: %12.4f\n", t_get_blk_csr/((double)(nprocs*LOOPNUM))); printf("Time for transposing block CSR distribution: %12.4f\n", t_trans_blk_csr/((double)(nprocs*LOOPNUM))); printf("Time for creating transposed block CSR GA: %12.4f\n", t_create_csr_ga/((double)(nprocs*LOOPNUM))); printf("Time for transposing blocks: %12.4f\n", t_trans_blk/((double)(nprocs*LOOPNUM))); printf("Time to get GP blocks for transpose: %12.4f\n", t_gp_tget/((double)(nprocs*LOOPNUM))); printf("Time to malloc GP blocks for transpose: %12.4f\n", t_gp_malloc/((double)(nprocs*LOOPNUM))); printf("Time to assign GP blocks for transpose: %12.4f\n", t_gp_assign/((double)(nprocs*LOOPNUM))); printf("Time for total sparse matrix transpose: %12.4f\n", t_ga_trans/((double)(nprocs*LOOPNUM))); } if (me==0) { printf("Terminating GA library\n"); } NGA_Terminate(); /* *** Tidy up after message-passing library */ ierr = MPI_Finalize(); }
/* create a random sparse matrix in compressed row form corresponding to a 7-point stencil for a grid on a lattice of dimension idim X jdim X kdim grid points */ void create_laplace_mat(int idim, int jdim, int kdim, int pdi, int pdj, int pdk, int *gp_block, int *g_j, int *g_i, int **imapc) { /* idim: i-dimension of grid jdim: j-dimension of grid kdim: k-dimension of grid pdi: i-dimension of processor grid pdj: j-dimension of processor grid pdk: k-dimension of processor grid ! g_data: global array of values ! g_j: global array containing j indices (using local indices) ! g_i: global array containing starting location of each row in g_j ! (using local indices) gp_block: global pointer array containing non-zero sparse sub-blocks of matrix g_j: global array containing j indices of sub-blocks g_i: global array containing starting location of each row in g_j tsize: total number of non-zero elements in matrix imapc: map array for vectors */ int ltotal_procs; int *lproclist, *lproc_inv, *lvoffset, *lnsize, *loffset, *licnt, *limapc; int *nnz_list; int nnz, offset, b_nnz; int nprocs, me, imin, imax, jcnt; int *jmin, *jmax; int ix, iy, iz, idx; double x, dr; double *rval, *gp_rval; int isize, idbg; int *jval, *gp_jval, *ival, *gp_ival, *ivalt; int i, j, k, itmp, one, tlo, thi, ld; int idum, ntot, indx, nghbrs[7], ncnt, nsave; int ixn[7],iyn[7],izn[7], procid[7]; int status; int lo[3], hi[3], ip, jp, kp, ldi, ldj, jdx, joff; int il, jl, kl, ldmi, ldpi, ldmj, ldpj; int *xld, *yld, *zld, *tmapc; int *ecnt, *total_distr; int total_max, toffset; int *iparams, *blk_ptr; int *iparamst, *jvalt; double *rvalt; FILE *fp, *fopen(); me = NGA_Nodeid(); nprocs = NGA_Nnodes(); idum = -(12345+me); x = ran3(&idum); one = 1; if (me == 0) { printf("\n Dimension of grid: \n\n"); printf(" I Dimension: %d\n",idim); printf(" J Dimension: %d\n",jdim); printf(" K Dimension: %d\n\n",kdim); } /* Find position of processor in processor grid and calulate minimum and maximum values of indices */ i = me; ip = i%pdi; i = (i-ip)/pdi; jp = i%pdj; kp = (i-jp)/pdj; lo[0] = (int)((((double)idim)*((double)ip))/((double)pdi)); if (ip < pdi-1) { hi[0] = (int)((((double)idim)*((double)(ip+1)))/((double)pdi))-1; } else { hi[0] = idim - 1; } lo[1] = (int)((((double)jdim)*((double)jp))/((double)pdj)); if (jp < pdj-1) { hi[1] = (int)((((double)jdim)*((double)(jp+1)))/((double)pdj))-1; } else { hi[1] = jdim - 1; } lo[2] = (int)((((double)kdim)*((double)kp))/((double)pdk)); if (kp < pdk-1) { hi[2] = (int)((((double)kdim)*((double)(kp+1)))/((double)pdk))-1; } else { hi[2] = kdim - 1; } ldi = hi[0]-lo[0]+1; ldj = hi[1]-lo[1]+1; /* Evaluate xld, yld, zld. These contain the number of elements in each division along the x, y, z axes */ xld = (int*)malloc(pdi*sizeof(int)); for (i=0; i<pdi; i++) { if (i<pdi-1) { xld[i] = (int)((((double)idim)*((double)(i+1)))/((double)pdi)); } else { xld[i] = idim; } xld[i] = xld[i] - (int)((((double)idim)*((double)(i)))/((double)pdi)); } yld = (int*)malloc(pdj*sizeof(int)); for (i=0; i<pdj; i++) { if (i<pdj-1) { yld[i] = (int)((((double)jdim)*((double)(i+1)))/((double)pdj)); } else { yld[i] = jdim; } yld[i] = yld[i] - (int)((((double)jdim)*((double)(i)))/((double)pdj)); } zld = (int*)malloc(pdk*sizeof(int)); for (i=0; i<pdk; i++) { if (i<pdk-1) { zld[i] = (int)((((double)kdim)*((double)(i+1)))/((double)pdk)); } else { zld[i] = jdim; } zld[i] = zld[i] - (int)((((double)kdim)*((double)(i)))/((double)pdk)); } /* Determine number of rows per processor lnsize[i]: number of rows associated with process i loffset[i]: global offset to location of first row associated with process i */ lnsize = (int*)malloc(nprocs*sizeof(int)); loffset = (int*)malloc(nprocs*sizeof(int)); for (i=0; i<nprocs; i++) { lnsize[i] = 0; loffset[i] = 0; } lnsize[me] = (hi[0]-lo[0]+1)*(hi[1]-lo[1]+1)*(hi[2]-lo[2]+1); NGA_Igop(lnsize,nprocs,"+"); loffset[0] = 0; for (i=1; i<nprocs; i++) { loffset[i] = loffset[i-1] + lnsize[i-1]; } ntot = idim*jdim*kdim; NGA_Sync(); /* scan over rows of lattice imin: minimum global index of rows associated with this process (me) imax: maximum global index of rows associated with this process (me) */ imin = loffset[me]; imax = loffset[me]+lnsize[me]-1; free(loffset); /* find out how many other processors couple to this row of blocks ecnt[i]: the number of columns on processor i that are coupled to this process */ ecnt = (int*)malloc(nprocs*sizeof(int)); for (i=0; i<nprocs; i++) { ecnt[i] = 0; } for (i=imin; i<=imax; i++) { /* compute local indices of grid point corresponding to row i */ indx = i - imin; ix = indx%ldi; indx = (indx - ix)/ldi; iy = indx%ldj; iz = (indx - iy)/ldj; ix = ix + lo[0]; iy = iy + lo[1]; iz = iz + lo[2]; ecnt[me] = ecnt[me] + 1; if (ix+1 <= idim-1) { if (ix+1 > hi[0]) { jdx = kp*pdi*pdj + jp*pdi + ip + 1; ecnt[jdx] = ecnt[jdx] + 1; } else { ecnt[me] = ecnt[me] + 1; } } if (ix-1 >= 0) { if (ix-1 < lo[0]) { jdx = kp*pdi*pdj + jp*pdi + ip - 1; ecnt[jdx] = ecnt[jdx] + 1; } else { ecnt[me] = ecnt[me] + 1; } } if (iy+1 <= jdim-1) { if (iy+1 > hi[1]) { jdx = kp*pdi*pdj + (jp+1)*pdi + ip; ecnt[jdx] = ecnt[jdx] + 1; } else { ecnt[me] = ecnt[me] + 1; } } if (iy-1 >= 0) { if (iy-1 < lo[1]) { jdx = kp*pdi*pdj + (jp-1)*pdi + ip; ecnt[jdx] = ecnt[jdx] + 1; } else { ecnt[me] = ecnt[me] + 1; } } if (iz+1 <= kdim-1) { if (iz+1 > hi[2]) { jdx = (kp+1)*pdi*pdj + jp*pdi + ip; ecnt[jdx] = ecnt[jdx] + 1; } else { ecnt[me] = ecnt[me] + 1; } } if (iz-1 >= 0) { if (iz-1 < lo[2]) { jdx = (kp-1)*pdi*pdj + jp*pdi + ip; ecnt[jdx] = ecnt[jdx] + 1; } else { ecnt[me] = ecnt[me] + 1; } } } /* Create list of processors that this processor is coupled to. If ecnt[i] is greater than zero then process i is coupled to this process. ltotal_procs: the total number of other processor that this process is coupled to. This includes this process (the diagonal term). lproclist[i]: the IDs of the processor that this processor is coupled to lproc_inv[i]: the location in lproclist of processor i. If processor i is not coupled to this process, the lproc_inv[i] = -1 ncnt: total number of non-zero elements held by this process nnz_list[i]: number of processes coupled to process i by sparse blocks nnz: total number of sparse blocks */ ltotal_procs = 0; ncnt = 0; for (i=0; i<nprocs; i++) { if (ecnt[i] > 0) { ltotal_procs++; ncnt += ecnt[i]; } } nsave = ncnt; lproclist = (int*)malloc(ltotal_procs*sizeof(int)); lproc_inv = (int*)malloc(nprocs*sizeof(int)); licnt = (int*)malloc(ltotal_procs*sizeof(int)); for (i=0; i<ltotal_procs; i++) { licnt[i] = 0; } rval = (double*)malloc(ncnt*sizeof(double)); idbg = ncnt; jval = (int*)malloc(ncnt*sizeof(int)); ival = (int*)malloc((imax-imin+2)*ltotal_procs*sizeof(int)); ivalt = (int*)malloc((imax-imin+2)*ltotal_procs*sizeof(int)); for (i=0; i<ncnt; i++) { rval[i] = 0.0; jval[i] = 0; } j = (imax-imin+2)*ltotal_procs; for (i=0; i<j; i++) { ival[i] = 0; ivalt[i] = 0; } nnz_list = (int*)malloc(nprocs*sizeof(int)); for (i=0; i<nprocs; i++) { nnz_list[i] = 0; } /* nnz is total number of non-zero sparse blocks */ nnz_list[me] = ltotal_procs; NGA_Igop(nnz_list, nprocs, "+"); nnz = 0; for (i=0; i<nprocs; i++) { nnz += nnz_list[i]; } /* lvoffset[i]: local offset into array ival[i] to get to elements associated with block i (i runs from 0 to ltotal_procs-1) isize: number of rows (plus 1) that reside on this processor */ isize = (imax-imin+2); for (i=0; i<nprocs; i++) { lproc_inv[i] = -1; } lvoffset = (int*)malloc(ltotal_procs*sizeof(int)); lvoffset[0] = 0; j = 0; for (i=0; i<nprocs; i++) { if (ecnt[i] > 0) { lproclist[j] = i; if (j > 0) { lvoffset[j] = ecnt[lproclist[j-1]]+lvoffset[j-1]; } lproc_inv[i] = j; j++; } } /* Create arrays the hold the sparse block representation of the sparse matrix gp_block[nnz]: Global Pointer array holding the sparse sub-matrices g_j[nnz]: column block indices for the element in gp_block g_i[nprocs]: row block indices for the elements in g_j */ tmapc = (int*)malloc((nprocs+1)*sizeof(int)); tmapc[0] = 0; for (i=1; i<=nprocs; i++) { tmapc[i] = tmapc[i-1]+nnz_list[i-1]; } *gp_block = GP_Create_handle(); GP_Set_dimensions(*gp_block,one,&nnz); GP_Set_irreg_distr(*gp_block, tmapc, &nprocs); GP_Allocate(*gp_block); *g_j = NGA_Create_handle(); NGA_Set_data(*g_j,one,&nnz,C_INT); NGA_Set_irreg_distr(*g_j, tmapc, &nprocs); NGA_Allocate(*g_j); for (i=0; i<nprocs; i++) { tmapc[i] = i; } *g_i = NGA_Create_handle(); i = nprocs+1; NGA_Set_data(*g_i,one,&i,C_INT); NGA_Set_irreg_distr(*g_i, tmapc, &nprocs); NGA_Allocate(*g_i); free(tmapc); jmin = (int*)malloc(nprocs*sizeof(int)); jmax = (int*)malloc(nprocs*sizeof(int)); for (i=0; i<nprocs; i++) { jmin[i] = 0; jmax[i] = 0; } jmin[me] = imin; jmax[me] = imax; NGA_Igop(jmin, nprocs, "+"); NGA_Igop(jmax, nprocs, "+"); /* Create the sparse blocks holding actual data. All the elements within each block couple this processor to one other processor rval[i]: values of matrix elements jval[i]: column indices of matrix elements ival[i]: index of first elements in rval and jval for the row represented by the index i. ivalt[i]: temporary array used in the construction of ival[i] */ for (i=imin; i<=imax; i++) { /* compute local indices of grid point corresponding to row i */ indx = i - imin; ix = indx%ldi; indx = (indx - ix)/ldi; iy = indx%ldj; iz = (indx - iy)/ldj; ix = ix + lo[0]; iy = iy + lo[1]; iz = iz + lo[2]; /* find locations of neighbors in 7-point stencil (if they are on the grid) */ ncnt = 0; ixn[ncnt] = ix; iyn[ncnt] = iy; izn[ncnt] = iz; il = ix - lo[0]; jl = iy - lo[1]; kl = iz - lo[2]; idx = kl*ldi*ldj + jl*ldi + il; nghbrs[ncnt] = idx; procid[ncnt] = me; if (ix+1 <= idim - 1) { ncnt++; ixn[ncnt] = ix + 1; iyn[ncnt] = iy; izn[ncnt] = iz; if (ix+1 > hi[0]) { jdx = kp*pdi*pdj + jp*pdi + ip + 1; il = 0; jl = iy - lo[1]; kl = iz - lo[2]; ldpi = xld[ip+1]; } else { jdx = me; il = ix - lo[0] + 1; jl = iy - lo[1]; kl = iz - lo[2]; ldpi = ldi; } idx = kl*ldpi*ldj + jl*ldpi + il; nghbrs[ncnt] = idx; procid[ncnt] = jdx; } if (ix-1 >= 0) { ncnt++; ixn[ncnt] = ix - 1; iyn[ncnt] = iy; izn[ncnt] = iz; if (ix-1 < lo[0]) { jdx = kp*pdi*pdj + jp*pdi + ip - 1; il = xld[ip-1] - 1; jl = iy - lo[1]; kl = iz - lo[2]; ldmi = xld[ip-1]; } else { jdx = me; il = ix - lo[0] - 1; jl = iy - lo[1]; kl = iz - lo[2]; ldmi = ldi; } idx = kl*ldmi*ldj + jl*ldmi + il; nghbrs[ncnt] = idx; procid[ncnt] = jdx; } if (iy+1 <= jdim-1) { ncnt++; ixn[ncnt] = ix; iyn[ncnt] = iy + 1; izn[ncnt] = iz; if (iy+1 > hi[1]) { jdx = kp*pdi*pdj + (jp+1)*pdi + ip; il = ix - lo[0]; jl = 0; kl = iz - lo[2]; ldpj = yld[jp+1]; } else { jdx = me; il = ix - lo[0]; jl = iy - lo[1] + 1; kl = iz - lo[2]; ldpj = ldj; } idx = kl*ldi*ldpj + jl*ldi + il; nghbrs[ncnt] = idx; procid[ncnt] = jdx; } if (iy-1 >= 0) { ncnt++; ixn[ncnt] = ix; iyn[ncnt] = iy - 1; izn[ncnt] = iz; if (iy-1 < lo[1]) { jdx = kp*pdi*pdj + (jp-1)*pdi + ip; il = ix - lo[0]; jl = yld[jp-1] - 1; kl = iz - lo[2]; ldmj = yld[jp-1]; } else { jdx = me; il = ix - lo[0]; jl = iy - lo[1] - 1; kl = iz - lo[2]; ldmj = ldj; } idx = kl*ldi*ldmj + jl*ldi + il; nghbrs[ncnt] = idx; procid[ncnt] = jdx; } if (iz+1 <= kdim-1) { ncnt++; ixn[ncnt] = ix; iyn[ncnt] = iy; izn[ncnt] = iz + 1; if (iz+1 > hi[2]) { jdx = (kp+1)*pdi*pdj + jp*pdi + ip; il = ix - lo[0]; jl = iy - lo[1]; kl = 0; } else { jdx = me; il = ix - lo[0]; jl = iy - lo[1]; kl = iz - lo[2] + 1; } idx = kl*ldi*ldj + jl*ldi + il; nghbrs[ncnt] = idx; procid[ncnt] = jdx; } if (iz-1 >= 0) { ncnt++; ixn[ncnt] = ix; iyn[ncnt] = iy; izn[ncnt] = iz - 1; if (iz-1 < lo[2]) { jdx = (kp-1)*pdi*pdj + jp*pdi + ip; il = ix - lo[0]; jl = iy - lo[1]; kl = zld[kp-1] - 1; } else { jdx = me; il = ix - lo[0]; jl = iy - lo[1]; kl = iz - lo[2] - 1; } idx = kl*ldi*ldj + jl*ldi + il; nghbrs[ncnt] = idx; procid[ncnt] = jdx; } /* sort indices so that neighbors run from lowest to highest local index. This sort is not particularly efficient but ncnt is generally small */ ncnt++; for (j=0; j<ncnt; j++) { for (k=j+1; k<ncnt; k++) { if (nghbrs[j] > nghbrs[k]) { itmp = nghbrs[j]; nghbrs[j] = nghbrs[k]; nghbrs[k] = itmp; itmp = ixn[j]; ixn[j] = ixn[k]; ixn[k] = itmp; itmp = iyn[j]; iyn[j] = iyn[k]; iyn[k] = itmp; itmp = izn[j]; izn[j] = izn[k]; izn[k] = itmp; itmp = procid[j]; procid[j] = procid[k]; procid[k] = itmp; } } } for (k=0; k<ncnt; k++) { if (nghbrs[k] < 0 || nghbrs[k] >= ntot) { printf("p[%d] Invalid neighbor %d\n",me,nghbrs[k]); } } /* set weights corresponding to a finite difference Laplacian on a 7-point stencil */ for (j=0; j<ncnt; j++) { jdx = procid[j]; idx = lproc_inv[jdx]; if (ix == ixn[j] && iy == iyn[j] && iz == izn[j]) { rval[lvoffset[idx]+licnt[idx]] = 6.0; } else { rval[lvoffset[idx]+licnt[idx]] = -1.0; } if (lvoffset[idx]+licnt[idx] < 0 || lvoffset[idx]+licnt[idx] >= nsave) { printf("p[%d] Out of bounds (lvoffset+licnt)[%d]: %d\n",me,idx,lvoffset[idx]+licnt[idx]); } if (lvoffset[idx]+licnt[idx]>=idbg) { } /* TODO: Check this carefully */ jval[lvoffset[idx]+licnt[idx]] = nghbrs[j]; ivalt[idx*isize+i-imin] = ivalt[idx*isize+i-imin]+1; licnt[idx]++; } } /* finish evaluating ival array */ for (i=0; i<ltotal_procs; i++) { ival[i*isize] = lvoffset[i]; for (j=1; j<isize; j++) { ival[i*isize+j] = ival[i*isize+j-1] + ivalt[i*isize+j-1]; } } isize = 0; for (i=0; i<ltotal_procs; i++) { isize = isize + licnt[i]; } if (isize > MAXVEC) NGA_Error("ISIZE exceeds MAXVEC in local arrays ",isize); /* Local portion of sparse matrix has been evaluated and decomposed into blocks that match partitioning of right hand side across processors. The following data is available at this point: 1) ltotal_procs: the number of processors that are coupled to this one via the sparse matrix 2) lproclist(ltotal_procs): a list of processor IDs that are coupled to this processor 3) lproc_inv(nprocs): The entry in proc_list that corresponds to a given processor. If the entry is -1 then that processor does not couple to this processor. 4) licnt(ltotal_procs): The number of non-zero entries in the sparse matrix that couple the process represented by proc_list(j) to this process 5) lvoffset(ltotal_procs): The offsets for the non-zero data in the arrays rval and jval for the blocks that couple this processor to other processes in proc_list 6) offset(nprocs): the offset array for the distributed right hand side vector These arrays describe how the sparse matrix is layed out both locally and across processors. In addition, the actual data for the distributed sparse matrix is found in the following arrays: 1) rval: values of matrix for all blocks on this processor 2) jval: j-indices of matrix for all blocks on this processor 3) ival(ltotal_procs*(lnsize(me)+1)): starting index in rval and jval for each row in each block */ NGA_Sync(); /* Create a sparse array of sparse blocks. Each block element is divided into for sections. The first section consists of 7 ints and contains the parameters imin: minimum i index represented by block imin: maximum i index represented by block jmin: minimum j index represented by block jmin: maximum j index represented by block iblock: row index of block jblock: column index of block nnz: number of non-zero elements in block The next section consists of nnz doubles that represent the non-zero values in the block. The third section consists of nnz ints and contains the local j indices of all values. The final section consists of (imax-imin+2) ints and contains the starting index in jval and rval for the each row between imin and imax. An extra value is included at the end and is set equal to nnz+1. This is included to simplify some coding. */ offset = 0; for (i=0; i<me; i++) { offset += nnz_list[i]; } NGA_Put(*g_i, &me, &me, &offset, &one); if (me==nprocs-1) { NGA_Put(*g_i, &nprocs, &nprocs, &nnz, &one); } NGA_Sync(); for (i = 0; i<ltotal_procs; i++) { /* evaluate total size of block */ b_nnz = ecnt[lproclist[i]]; isize = 7*sizeof(int) + b_nnz*(sizeof(double)+sizeof(int)) + (imax-imin+2)*sizeof(int); blk_ptr = (int*)GP_Malloc(isize); iparams = blk_ptr; gp_rval = (double*)(iparams+7); gp_jval = (int*)(gp_rval+b_nnz); gp_ival = (gp_jval+b_nnz); iparams[0] = imin; iparams[1] = imax; iparams[2] = jmin[lproclist[i]]; iparams[3] = jmax[lproclist[i]]; iparams[4] = me; iparams[5] = lproclist[i]; iparams[6] = b_nnz; ldj = (imax-imin+2); k = 0; toffset = lvoffset[i]; for (j=0; j<b_nnz; j++) { gp_jval[j] = jval[toffset+j]; gp_rval[j] = rval[toffset+j]; } toffset = ival[i*ldj]; for (k=0; k<ldj; k++) { gp_ival[k] = ival[i*ldj+k]-toffset; } /* Assign blk_ptr to GP array element */ GP_Assign_local_element(*gp_block, &offset, (void*)blk_ptr, isize); j = 1; NGA_Put(*g_j,&offset,&offset,&lproclist[i],&j); offset++; } NGA_Sync(); tmapc = (int*)malloc(nprocs*sizeof(int)); tmapc[0] = 0; for (i=1; i<nprocs; i++) { tmapc[i] = tmapc[i-1] + lnsize[i-1]; } i = nprocs-1; *imapc = tmapc; free(rval); free(jval); free(ival); free(ivalt); free(xld); free(yld); free(zld); free(lnsize); free(lvoffset); free(ecnt); free(licnt); free(lproclist); free(lproc_inv); free(jmin); free(jmax); free(nnz_list); return; }