1*4da77479SBarry Smith /*$Id: baijfact.c,v 1.79 2000/02/02 20:09:09 bsmith Exp bsmith $*/ 25d517e7eSBarry Smith /* 3ec3a8b7bSBarry Smith Factorization code for BAIJ format. 45d517e7eSBarry Smith */ 570f55243SBarry Smith #include "src/mat/impls/baij/seq/baij.h" 6c16cb8f2SBarry Smith #include "src/vec/vecimpl.h" 74078e994SBarry Smith #include "src/inline/ilu.h" 8ec3a8b7bSBarry Smith 9ec3a8b7bSBarry Smith /* 10ec3a8b7bSBarry Smith The symbolic factorization code is identical to that for AIJ format, 11ec3a8b7bSBarry Smith except for very small changes since this is now a SeqBAIJ datastructure. 12ec3a8b7bSBarry Smith NOT good code reuse. 13ec3a8b7bSBarry Smith */ 145615d1e5SSatish Balay #undef __FUNC__ 155615d1e5SSatish Balay #define __FUNC__ "MatLUFactorSymbolic_SeqBAIJ" 16ec3a8b7bSBarry Smith int MatLUFactorSymbolic_SeqBAIJ(Mat A,IS isrow,IS iscol,double f,Mat *B) 175d517e7eSBarry Smith { 18ec3a8b7bSBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b; 195d517e7eSBarry Smith IS isicol; 20ec3a8b7bSBarry Smith int *r,*ic,ierr,i,n = a->mbs,*ai = a->i,*aj = a->j; 219df24120SSatish Balay int *ainew,*ajnew,jmax,*fill,*ajtmp,nz,bs = a->bs,bs2=a->bs2; 2291bf9adeSBarry Smith int *idnew,idx,row,m,fm,nnz,nzi,realloc = 0,nzbd,*im; 235d517e7eSBarry Smith 243a40ed3dSBarry Smith PetscFunctionBegin; 25d3cbd50cSLois Curfman McInnes PetscValidHeaderSpecific(isrow,IS_COOKIE); 26d3cbd50cSLois Curfman McInnes PetscValidHeaderSpecific(iscol,IS_COOKIE); 27f1af5d2fSBarry Smith if (A->M != A->N) SETERRQ(PETSC_ERR_ARG_WRONG,0,"matrix must be square"); 28*4da77479SBarry Smith 29*4da77479SBarry Smith if (!isrow) { 30*4da77479SBarry Smith ierr = ISCreateStride(PETSC_COMM_SELF,A->M,0,1,&isrow);CHKERRQ(ierr); 31*4da77479SBarry Smith } 32*4da77479SBarry Smith if (!iscol) { 33*4da77479SBarry Smith ierr = ISCreateStride(PETSC_COMM_SELF,A->M,0,1,&iscol);CHKERRQ(ierr); 34*4da77479SBarry Smith } 354c49b128SBarry Smith ierr = ISInvertPermutation(iscol,PETSC_DECIDE,&isicol);CHKERRQ(ierr); 36f1af5d2fSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 37f1af5d2fSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 385d517e7eSBarry Smith 395d517e7eSBarry Smith /* get new row pointers */ 405d517e7eSBarry Smith ainew = (int*)PetscMalloc((n+1)*sizeof(int));CHKPTRQ(ainew); 41de6a44a3SBarry Smith ainew[0] = 0; 425d517e7eSBarry Smith /* don't know how many column pointers are needed so estimate */ 43de6a44a3SBarry Smith jmax = (int)(f*ai[n] + 1); 445d517e7eSBarry Smith ajnew = (int*)PetscMalloc((jmax)*sizeof(int));CHKPTRQ(ajnew); 455d517e7eSBarry Smith /* fill is a linked list of nonzeros in active row */ 465d517e7eSBarry Smith fill = (int*)PetscMalloc((2*n+1)*sizeof(int));CHKPTRQ(fill); 475d517e7eSBarry Smith im = fill + n + 1; 485d517e7eSBarry Smith /* idnew is location of diagonal in factor */ 495d517e7eSBarry Smith idnew = (int*)PetscMalloc((n+1)*sizeof(int));CHKPTRQ(idnew); 50de6a44a3SBarry Smith idnew[0] = 0; 515d517e7eSBarry Smith 525d517e7eSBarry Smith for (i=0; i<n; i++) { 535d517e7eSBarry Smith /* first copy previous fill into linked list */ 545d517e7eSBarry Smith nnz = nz = ai[r[i]+1] - ai[r[i]]; 556b96ef82SSatish Balay if (!nz) SETERRQ(PETSC_ERR_MAT_LU_ZRPVT,1,"Empty row in matrix"); 56de6a44a3SBarry Smith ajtmp = aj + ai[r[i]]; 575d517e7eSBarry Smith fill[n] = n; 585d517e7eSBarry Smith while (nz--) { 595d517e7eSBarry Smith fm = n; 60de6a44a3SBarry Smith idx = ic[*ajtmp++]; 615d517e7eSBarry Smith do { 625d517e7eSBarry Smith m = fm; 635d517e7eSBarry Smith fm = fill[m]; 645d517e7eSBarry Smith } while (fm < idx); 655d517e7eSBarry Smith fill[m] = idx; 665d517e7eSBarry Smith fill[idx] = fm; 675d517e7eSBarry Smith } 685d517e7eSBarry Smith row = fill[n]; 695d517e7eSBarry Smith while (row < i) { 70de6a44a3SBarry Smith ajtmp = ajnew + idnew[row] + 1; 715d517e7eSBarry Smith nzbd = 1 + idnew[row] - ainew[row]; 725d517e7eSBarry Smith nz = im[row] - nzbd; 735d517e7eSBarry Smith fm = row; 745d517e7eSBarry Smith while (nz-- > 0) { 75de6a44a3SBarry Smith idx = *ajtmp++; 765d517e7eSBarry Smith nzbd++; 775d517e7eSBarry Smith if (idx == i) im[row] = nzbd; 785d517e7eSBarry Smith do { 795d517e7eSBarry Smith m = fm; 805d517e7eSBarry Smith fm = fill[m]; 815d517e7eSBarry Smith } while (fm < idx); 825d517e7eSBarry Smith if (fm != idx) { 835d517e7eSBarry Smith fill[m] = idx; 845d517e7eSBarry Smith fill[idx] = fm; 855d517e7eSBarry Smith fm = idx; 865d517e7eSBarry Smith nnz++; 875d517e7eSBarry Smith } 885d517e7eSBarry Smith } 895d517e7eSBarry Smith row = fill[row]; 905d517e7eSBarry Smith } 915d517e7eSBarry Smith /* copy new filled row into permanent storage */ 925d517e7eSBarry Smith ainew[i+1] = ainew[i] + nnz; 934078e994SBarry Smith if (ainew[i+1] > jmax) { 94ecf371e4SBarry Smith 95ecf371e4SBarry Smith /* estimate how much additional space we will need */ 96ecf371e4SBarry Smith /* use the strategy suggested by David Hysom <hysom@perch-t.icase.edu> */ 97ecf371e4SBarry Smith /* just double the memory each time */ 98ecf371e4SBarry Smith int maxadd = jmax; 99ecf371e4SBarry Smith /* maxadd = (int)((f*(ai[n]+1)*(n-i+5))/n); */ 1005d517e7eSBarry Smith if (maxadd < nnz) maxadd = (n-i)*(nnz+1); 1015d517e7eSBarry Smith jmax += maxadd; 102ecf371e4SBarry Smith 103ecf371e4SBarry Smith /* allocate a longer ajnew */ 1045d517e7eSBarry Smith ajtmp = (int*)PetscMalloc(jmax*sizeof(int));CHKPTRQ(ajtmp); 105549d3d68SSatish Balay ierr = PetscMemcpy(ajtmp,ajnew,ainew[i]*sizeof(int));CHKERRQ(ierr); 106606d414cSSatish Balay ierr = PetscFree(ajnew);CHKERRQ(ierr); 1075d517e7eSBarry Smith ajnew = ajtmp; 1085d517e7eSBarry Smith realloc++; /* count how many times we realloc */ 1095d517e7eSBarry Smith } 110de6a44a3SBarry Smith ajtmp = ajnew + ainew[i]; 1115d517e7eSBarry Smith fm = fill[n]; 1125d517e7eSBarry Smith nzi = 0; 1135d517e7eSBarry Smith im[i] = nnz; 1145d517e7eSBarry Smith while (nnz--) { 1155d517e7eSBarry Smith if (fm < i) nzi++; 116de6a44a3SBarry Smith *ajtmp++ = fm; 1175d517e7eSBarry Smith fm = fill[fm]; 1185d517e7eSBarry Smith } 1195d517e7eSBarry Smith idnew[i] = ainew[i] + nzi; 1205d517e7eSBarry Smith } 1215d517e7eSBarry Smith 122fbe2de07SSatish Balay if (ai[n] != 0) { 123329f5518SBarry Smith PetscReal af = ((PetscReal)ainew[n])/((PetscReal)ai[n]); 124c38d4ed2SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Reallocs %d Fill ratio:given %g needed %g\n",realloc,f,af); 125981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Run with -pc_lu_fill %g or use \n",af); 126981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:PCLUSetFill(pc,%g);\n",af); 127981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:for best performance.\n"); 12870794672SSatish Balay } else { 129981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Empty matrix.\n"); 13070794672SSatish Balay } 13170794672SSatish Balay 1325d517e7eSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 1335d517e7eSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 1345d517e7eSBarry Smith 135606d414cSSatish Balay ierr = PetscFree(fill);CHKERRQ(ierr); 1365d517e7eSBarry Smith 1375d517e7eSBarry Smith /* put together the new matrix */ 138ec3a8b7bSBarry Smith ierr = MatCreateSeqBAIJ(A->comm,bs,bs*n,bs*n,0,PETSC_NULL,B);CHKERRQ(ierr); 1395d517e7eSBarry Smith PLogObjectParent(*B,isicol); 140ec3a8b7bSBarry Smith b = (Mat_SeqBAIJ*)(*B)->data; 141606d414cSSatish Balay ierr = PetscFree(b->imax);CHKERRQ(ierr); 1427c922b88SBarry Smith b->singlemalloc = PETSC_FALSE; 1435d517e7eSBarry Smith /* the next line frees the default space generated by the Create() */ 144606d414cSSatish Balay ierr = PetscFree(b->a);CHKERRQ(ierr); 145606d414cSSatish Balay ierr = PetscFree(b->ilen);CHKERRQ(ierr); 1463f1db9ecSBarry Smith b->a = (MatScalar*)PetscMalloc((ainew[n]+1)*sizeof(MatScalar)*bs2);CHKPTRQ(b->a); 1475d517e7eSBarry Smith b->j = ajnew; 1485d517e7eSBarry Smith b->i = ainew; 1495d517e7eSBarry Smith b->diag = idnew; 1505d517e7eSBarry Smith b->ilen = 0; 1515d517e7eSBarry Smith b->imax = 0; 1525d517e7eSBarry Smith b->row = isrow; 1535d517e7eSBarry Smith b->col = iscol; 154c38d4ed2SBarry Smith ierr = PetscObjectReference((PetscObject)isrow);CHKERRQ(ierr); 155c38d4ed2SBarry Smith ierr = PetscObjectReference((PetscObject)iscol);CHKERRQ(ierr); 156e51c0b9cSSatish Balay b->icol = isicol; 1573a40ed3dSBarry Smith b->solve_work = (Scalar*)PetscMalloc((bs*n+bs)*sizeof(Scalar));CHKPTRQ(b->solve_work); 1585d517e7eSBarry Smith /* In b structure: Free imax, ilen, old a, old j. 1595d517e7eSBarry Smith Allocate idnew, solve_work, new a, new j */ 1603f1db9ecSBarry Smith PLogObjectMemory(*B,(ainew[n]-n)*(sizeof(int)+sizeof(MatScalar))); 161de6a44a3SBarry Smith b->maxnz = b->nz = ainew[n]; 1625d517e7eSBarry Smith 163e93ccc4dSBarry Smith (*B)->factor = FACTOR_LU; 164ae068f58SLois Curfman McInnes (*B)->info.factor_mallocs = realloc; 165ae068f58SLois Curfman McInnes (*B)->info.fill_ratio_given = f; 166e93ccc4dSBarry Smith if (ai[n] != 0) { 167329f5518SBarry Smith (*B)->info.fill_ratio_needed = ((PetscReal)ainew[n])/((PetscReal)ai[n]); 168966b9fa7SBarry Smith } else { 169966b9fa7SBarry Smith (*B)->info.fill_ratio_needed = 0.0; 170966b9fa7SBarry Smith } 171966b9fa7SBarry Smith 172ae068f58SLois Curfman McInnes 1733a40ed3dSBarry Smith PetscFunctionReturn(0); 1745d517e7eSBarry Smith } 1755d517e7eSBarry Smith 176ec3a8b7bSBarry Smith /* ----------------------------------------------------------- */ 1775615d1e5SSatish Balay #undef __FUNC__ 1785615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_N" 1797fc0212eSBarry Smith int MatLUFactorNumeric_SeqBAIJ_N(Mat A,Mat *B) 1805d517e7eSBarry Smith { 1815d517e7eSBarry Smith Mat C = *B; 182ec3a8b7bSBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 18308b7f112SBarry Smith IS isrow = b->row,isicol = b->icol; 1844078e994SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 18548e9ddb2SSatish Balay int *ajtmpold,*ajtmp,nz,row,bslog,*ai=a->i,*aj=a->j,k,flg; 186329f5518SBarry Smith int *diag_offset=b->diag,diag,bs=a->bs,bs2 = a->bs2,*v_pivots,*pj; 187329f5518SBarry Smith MatScalar *ba = b->a,*aa = a->a,*pv,*v,*rtmp,*multiplier,*v_work,*pc,*w; 1885d517e7eSBarry Smith 1893a40ed3dSBarry Smith PetscFunctionBegin; 1905d517e7eSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 1915d517e7eSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 1923f1db9ecSBarry Smith rtmp = (MatScalar*)PetscMalloc(bs2*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 193549d3d68SSatish Balay ierr = PetscMemzero(rtmp,bs2*(n+1)*sizeof(MatScalar));CHKERRQ(ierr); 194ec3a8b7bSBarry Smith /* generate work space needed by dense LU factorization */ 1953f1db9ecSBarry Smith v_work = (MatScalar*)PetscMalloc(bs*sizeof(int) + (bs+bs2)*sizeof(MatScalar));CHKPTRQ(v_work); 1966d84be18SBarry Smith multiplier = v_work + bs; 197de6a44a3SBarry Smith v_pivots = (int*)(multiplier + bs2); 198de6a44a3SBarry Smith 199de6a44a3SBarry Smith /* flops in while loop */ 2004eeb42bcSBarry Smith bslog = 2*bs*bs2; 2015d517e7eSBarry Smith 2025d517e7eSBarry Smith for (i=0; i<n; i++) { 2034078e994SBarry Smith nz = bi[i+1] - bi[i]; 2044078e994SBarry Smith ajtmp = bj + bi[i]; 2054eeb42bcSBarry Smith for (j=0; j<nz; j++) { 206549d3d68SSatish Balay ierr = PetscMemzero(rtmp+bs2*ajtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 2074eeb42bcSBarry Smith } 2085d517e7eSBarry Smith /* load in initial (unfactored row) */ 2094078e994SBarry Smith nz = ai[r[i]+1] - ai[r[i]]; 2104078e994SBarry Smith ajtmpold = aj + ai[r[i]]; 2114078e994SBarry Smith v = aa + bs2*ai[r[i]]; 2124eeb42bcSBarry Smith for (j=0; j<nz; j++) { 213549d3d68SSatish Balay ierr = PetscMemcpy(rtmp+bs2*ic[ajtmpold[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 2144eeb42bcSBarry Smith } 215de6a44a3SBarry Smith row = *ajtmp++; 2165d517e7eSBarry Smith while (row < i) { 217de6a44a3SBarry Smith pc = rtmp + bs2*row; 218de6a44a3SBarry Smith /* if (*pc) { */ 219974088aaSSatish Balay for (flg=0,k=0; k<bs2; k++) { if (pc[k]!=0.0) { flg =1; break; }} 22048e9ddb2SSatish Balay if (flg) { 2214078e994SBarry Smith pv = ba + bs2*diag_offset[row]; 2224078e994SBarry Smith pj = bj + diag_offset[row] + 1; 2234078e994SBarry Smith Kernel_A_gets_A_times_B(bs,pc,pv,multiplier); 2244078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 225ec3a8b7bSBarry Smith pv += bs2; 2264eeb42bcSBarry Smith for (j=0; j<nz; j++) { 2274078e994SBarry Smith Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); 2284eeb42bcSBarry Smith } 2294eeb42bcSBarry Smith PLogFlops(bslog*(nz+1)-bs); 23048e9ddb2SSatish Balay } 231de6a44a3SBarry Smith row = *ajtmp++; 2325d517e7eSBarry Smith } 2335d517e7eSBarry Smith /* finished row so stick it into b->a */ 2344078e994SBarry Smith pv = ba + bs2*bi[i]; 2354078e994SBarry Smith pj = bj + bi[i]; 2364078e994SBarry Smith nz = bi[i+1] - bi[i]; 2374eeb42bcSBarry Smith for (j=0; j<nz; j++) { 238549d3d68SSatish Balay ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 2394eeb42bcSBarry Smith } 2404078e994SBarry Smith diag = diag_offset[i] - bi[i]; 241ec3a8b7bSBarry Smith /* invert diagonal block */ 2424eeb42bcSBarry Smith w = pv + bs2*diag; 2434078e994SBarry Smith Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work); 2445d517e7eSBarry Smith } 2455d517e7eSBarry Smith 246606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 247606d414cSSatish Balay ierr = PetscFree(v_work);CHKERRQ(ierr); 2485d517e7eSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 2495d517e7eSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 2505d517e7eSBarry Smith C->factor = FACTOR_LU; 2515d517e7eSBarry Smith C->assembled = PETSC_TRUE; 252de6a44a3SBarry Smith PLogFlops(1.3333*bs*bs2*b->mbs); /* from inverting diagonal blocks */ 2533a40ed3dSBarry Smith PetscFunctionReturn(0); 2545d517e7eSBarry Smith } 2554eeb42bcSBarry Smith /* ------------------------------------------------------------*/ 2564eeb42bcSBarry Smith /* 2574cd38560SBarry Smith Version for when blocks are 7 by 7 2584cd38560SBarry Smith */ 2594cd38560SBarry Smith #undef __FUNC__ 2604cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_7" 2614cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_7(Mat A,Mat *B) 2624cd38560SBarry Smith { 2634cd38560SBarry Smith Mat C = *B; 2644cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 2654cd38560SBarry Smith IS isrow = b->row,isicol = b->icol; 2664cd38560SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 2674cd38560SBarry Smith int *ajtmpold,*ajtmp,nz,row; 268329f5518SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 269329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 2704cd38560SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 2714cd38560SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 2724cd38560SBarry Smith MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 2734cd38560SBarry Smith MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 2744cd38560SBarry Smith MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 2754cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 2764cd38560SBarry Smith MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 2774cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 2784cd38560SBarry Smith MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 2794cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 2804cd38560SBarry Smith MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 2814cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 2824cd38560SBarry Smith 2834cd38560SBarry Smith PetscFunctionBegin; 2844cd38560SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 2854cd38560SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 2864cd38560SBarry Smith rtmp = (MatScalar*)PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 2874cd38560SBarry Smith 2884cd38560SBarry Smith for (i=0; i<n; i++) { 2894cd38560SBarry Smith nz = bi[i+1] - bi[i]; 2904cd38560SBarry Smith ajtmp = bj + bi[i]; 2914cd38560SBarry Smith for (j=0; j<nz; j++) { 2924cd38560SBarry Smith x = rtmp+49*ajtmp[j]; 2934cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 2944cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 2954cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 2964cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 2974cd38560SBarry Smith x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 29815091d37SBarry Smith x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ; 2994cd38560SBarry Smith } 3004cd38560SBarry Smith /* load in initial (unfactored row) */ 3014cd38560SBarry Smith idx = r[i]; 3024cd38560SBarry Smith nz = ai[idx+1] - ai[idx]; 3034cd38560SBarry Smith ajtmpold = aj + ai[idx]; 3044cd38560SBarry Smith v = aa + 49*ai[idx]; 3054cd38560SBarry Smith for (j=0; j<nz; j++) { 3064cd38560SBarry Smith x = rtmp+49*ic[ajtmpold[j]]; 3074cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 3084cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 3094cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 3104cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 3114cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 3124cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 3134cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 3144cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 3154cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 3164cd38560SBarry Smith x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 3174cd38560SBarry Smith x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 3184cd38560SBarry Smith x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 3194cd38560SBarry Smith x[48] = v[48]; 3204cd38560SBarry Smith v += 49; 3214cd38560SBarry Smith } 3224cd38560SBarry Smith row = *ajtmp++; 3234cd38560SBarry Smith while (row < i) { 3244cd38560SBarry Smith pc = rtmp + 49*row; 3254cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 3264cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 3274cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 3284cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 3294cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 3304cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 3314cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 3324cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 3334cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 3344cd38560SBarry Smith p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 3354cd38560SBarry Smith p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 3364cd38560SBarry Smith p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 3374cd38560SBarry Smith p49 = pc[48]; 3384cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 3394cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 3404cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 3414cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 3424cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 3434cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 3444cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 3454cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 3464cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 3474cd38560SBarry Smith p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 3484cd38560SBarry Smith p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 3494cd38560SBarry Smith p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 3504cd38560SBarry Smith p49 != 0.0) { 3514cd38560SBarry Smith pv = ba + 49*diag_offset[row]; 3524cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 3534cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 3544cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 3554cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 3564cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 3574cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 3584cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 3594cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 3604cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 3614cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 3624cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 3634cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 3644cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 3654cd38560SBarry Smith x49 = pv[48]; 3664cd38560SBarry Smith pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 3674cd38560SBarry Smith pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 3684cd38560SBarry Smith pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 3694cd38560SBarry Smith pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 3704cd38560SBarry Smith pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 3714cd38560SBarry Smith pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 3724cd38560SBarry Smith pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 3734cd38560SBarry Smith 3744cd38560SBarry Smith pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 3754cd38560SBarry Smith pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 3764cd38560SBarry Smith pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 3774cd38560SBarry Smith pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 3784cd38560SBarry Smith pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 3794cd38560SBarry Smith pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 3804cd38560SBarry Smith pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 3814cd38560SBarry Smith 3824cd38560SBarry Smith pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 3834cd38560SBarry Smith pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 3844cd38560SBarry Smith pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 3854cd38560SBarry Smith pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 3864cd38560SBarry Smith pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 3874cd38560SBarry Smith pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 3884cd38560SBarry Smith pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 3894cd38560SBarry Smith 3904cd38560SBarry Smith pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 3914cd38560SBarry Smith pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 3924cd38560SBarry Smith pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 3934cd38560SBarry Smith pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 3944cd38560SBarry Smith pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 3954cd38560SBarry Smith pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 3964cd38560SBarry Smith pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 3974cd38560SBarry Smith 3984cd38560SBarry Smith pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 3994cd38560SBarry Smith pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 4004cd38560SBarry Smith pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 4014cd38560SBarry Smith pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 4024cd38560SBarry Smith pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 4034cd38560SBarry Smith pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 4044cd38560SBarry Smith pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 4054cd38560SBarry Smith 4064cd38560SBarry Smith pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 4074cd38560SBarry Smith pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 4084cd38560SBarry Smith pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 4094cd38560SBarry Smith pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 4104cd38560SBarry Smith pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 4114cd38560SBarry Smith pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 4124cd38560SBarry Smith pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 4134cd38560SBarry Smith 4144cd38560SBarry Smith pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 4154cd38560SBarry Smith pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 4164cd38560SBarry Smith pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 4174cd38560SBarry Smith pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 4184cd38560SBarry Smith pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 4194cd38560SBarry Smith pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 4204cd38560SBarry Smith pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 4214cd38560SBarry Smith 4224cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 4234cd38560SBarry Smith pv += 49; 4244cd38560SBarry Smith for (j=0; j<nz; j++) { 4254cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 4264cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 4274cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 4284cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 4294cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 4304cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 4314cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 4324cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 4334cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 4344cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 4354cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 4364cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 4374cd38560SBarry Smith x49 = pv[48]; 4384cd38560SBarry Smith x = rtmp + 49*pj[j]; 4394cd38560SBarry Smith x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 4404cd38560SBarry Smith x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 4414cd38560SBarry Smith x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 4424cd38560SBarry Smith x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 4434cd38560SBarry Smith x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 4444cd38560SBarry Smith x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 4454cd38560SBarry Smith x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 4464cd38560SBarry Smith 4474cd38560SBarry Smith x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 4484cd38560SBarry Smith x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 4494cd38560SBarry Smith x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 4504cd38560SBarry Smith x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 4514cd38560SBarry Smith x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 4524cd38560SBarry Smith x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 4534cd38560SBarry Smith x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 4544cd38560SBarry Smith 4554cd38560SBarry Smith x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 4564cd38560SBarry Smith x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 4574cd38560SBarry Smith x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 4584cd38560SBarry Smith x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 4594cd38560SBarry Smith x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 4604cd38560SBarry Smith x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 4614cd38560SBarry Smith x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 4624cd38560SBarry Smith 4634cd38560SBarry Smith x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 4644cd38560SBarry Smith x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 4654cd38560SBarry Smith x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 4664cd38560SBarry Smith x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 4674cd38560SBarry Smith x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 4684cd38560SBarry Smith x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 4694cd38560SBarry Smith x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 4704cd38560SBarry Smith 4714cd38560SBarry Smith x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 4724cd38560SBarry Smith x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 4734cd38560SBarry Smith x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 4744cd38560SBarry Smith x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 4754cd38560SBarry Smith x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 4764cd38560SBarry Smith x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 4774cd38560SBarry Smith x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 4784cd38560SBarry Smith 4794cd38560SBarry Smith x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 4804cd38560SBarry Smith x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 4814cd38560SBarry Smith x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 4824cd38560SBarry Smith x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 4834cd38560SBarry Smith x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 4844cd38560SBarry Smith x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 4854cd38560SBarry Smith x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 4864cd38560SBarry Smith 4874cd38560SBarry Smith x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 4884cd38560SBarry Smith x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 4894cd38560SBarry Smith x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 4904cd38560SBarry Smith x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 4914cd38560SBarry Smith x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 4924cd38560SBarry Smith x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 4934cd38560SBarry Smith x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 4944cd38560SBarry Smith pv += 49; 4954cd38560SBarry Smith } 4964cd38560SBarry Smith PLogFlops(686*nz+637); 4974cd38560SBarry Smith } 4984cd38560SBarry Smith row = *ajtmp++; 4994cd38560SBarry Smith } 5004cd38560SBarry Smith /* finished row so stick it into b->a */ 5014cd38560SBarry Smith pv = ba + 49*bi[i]; 5024cd38560SBarry Smith pj = bj + bi[i]; 5034cd38560SBarry Smith nz = bi[i+1] - bi[i]; 5044cd38560SBarry Smith for (j=0; j<nz; j++) { 5054cd38560SBarry Smith x = rtmp+49*pj[j]; 5064cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 5074cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 5084cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 5094cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 5104cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 5114cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 5124cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 5134cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 5144cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 5154cd38560SBarry Smith pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 5164cd38560SBarry Smith pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 5174cd38560SBarry Smith pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 51815091d37SBarry Smith pv[48] = x[48]; 5194cd38560SBarry Smith pv += 49; 5204cd38560SBarry Smith } 5214cd38560SBarry Smith /* invert diagonal block */ 5224cd38560SBarry Smith w = ba + 49*diag_offset[i]; 5234cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr); 5244cd38560SBarry Smith } 5254cd38560SBarry Smith 526606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 5274cd38560SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 5284cd38560SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 5294cd38560SBarry Smith C->factor = FACTOR_LU; 5304cd38560SBarry Smith C->assembled = PETSC_TRUE; 5314cd38560SBarry Smith PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */ 5324cd38560SBarry Smith PetscFunctionReturn(0); 5334cd38560SBarry Smith } 53415091d37SBarry Smith 5354cd38560SBarry Smith /* 5364cd38560SBarry Smith Version for when blocks are 7 by 7 Using natural ordering 5374cd38560SBarry Smith */ 5384cd38560SBarry Smith #undef __FUNC__ 5394cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering" 5404cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat A,Mat *B) 5414cd38560SBarry Smith { 5424cd38560SBarry Smith Mat C = *B; 5434cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 5444cd38560SBarry Smith int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 5454cd38560SBarry Smith int *ajtmpold,*ajtmp,nz,row; 546329f5518SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 547329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 5484cd38560SBarry Smith MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 5494cd38560SBarry Smith MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 5504cd38560SBarry Smith MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 5514cd38560SBarry Smith MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 5524cd38560SBarry Smith MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 5534cd38560SBarry Smith MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 5544cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 5554cd38560SBarry Smith MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 5564cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 5574cd38560SBarry Smith MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 5584cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 5594cd38560SBarry Smith MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 5604cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 5614cd38560SBarry Smith 5624cd38560SBarry Smith PetscFunctionBegin; 5634cd38560SBarry Smith rtmp = (MatScalar*)PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 5644cd38560SBarry Smith for (i=0; i<n; i++) { 5654cd38560SBarry Smith nz = bi[i+1] - bi[i]; 5664cd38560SBarry Smith ajtmp = bj + bi[i]; 5674cd38560SBarry Smith for (j=0; j<nz; j++) { 5684cd38560SBarry Smith x = rtmp+49*ajtmp[j]; 5694cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 5704cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 5714cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 5724cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 5734cd38560SBarry Smith x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 57415091d37SBarry Smith x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ; 5754cd38560SBarry Smith } 5764cd38560SBarry Smith /* load in initial (unfactored row) */ 5774cd38560SBarry Smith nz = ai[i+1] - ai[i]; 5784cd38560SBarry Smith ajtmpold = aj + ai[i]; 5794cd38560SBarry Smith v = aa + 49*ai[i]; 5804cd38560SBarry Smith for (j=0; j<nz; j++) { 5814cd38560SBarry Smith x = rtmp+49*ajtmpold[j]; 5824cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 5834cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 5844cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 5854cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 5864cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 5874cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 5884cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 5894cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 5904cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 5914cd38560SBarry Smith x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 5924cd38560SBarry Smith x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 5934cd38560SBarry Smith x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 5944cd38560SBarry Smith x[48] = v[48]; 5954cd38560SBarry Smith v += 49; 5964cd38560SBarry Smith } 5974cd38560SBarry Smith row = *ajtmp++; 5984cd38560SBarry Smith while (row < i) { 5994cd38560SBarry Smith pc = rtmp + 49*row; 6004cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 6014cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 6024cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 6034cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 6044cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 6054cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 6064cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 6074cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 6084cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 6094cd38560SBarry Smith p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 6104cd38560SBarry Smith p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 6114cd38560SBarry Smith p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 6124cd38560SBarry Smith p49 = pc[48]; 6134cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 6144cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 6154cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 6164cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 6174cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 6184cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 6194cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 6204cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 6214cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 6224cd38560SBarry Smith p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 6234cd38560SBarry Smith p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 6244cd38560SBarry Smith p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 6254cd38560SBarry Smith p49 != 0.0) { 62615091d37SBarry Smith pv = ba + 49*diag_offset[row]; 6274cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 6284cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 6294cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 6304cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 6314cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 6324cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 6334cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 6344cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 6354cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 6364cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 6374cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 6384cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 6394cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 6404cd38560SBarry Smith x49 = pv[48]; 6414cd38560SBarry Smith pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 6424cd38560SBarry Smith pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 6434cd38560SBarry Smith pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 6444cd38560SBarry Smith pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 6454cd38560SBarry Smith pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 6464cd38560SBarry Smith pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 6474cd38560SBarry Smith pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 6484cd38560SBarry Smith 6494cd38560SBarry Smith pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 6504cd38560SBarry Smith pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 6514cd38560SBarry Smith pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 6524cd38560SBarry Smith pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 6534cd38560SBarry Smith pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 6544cd38560SBarry Smith pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 6554cd38560SBarry Smith pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 6564cd38560SBarry Smith 6574cd38560SBarry Smith pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 6584cd38560SBarry Smith pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 6594cd38560SBarry Smith pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 6604cd38560SBarry Smith pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 6614cd38560SBarry Smith pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 6624cd38560SBarry Smith pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 6634cd38560SBarry Smith pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 6644cd38560SBarry Smith 6654cd38560SBarry Smith pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 6664cd38560SBarry Smith pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 6674cd38560SBarry Smith pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 6684cd38560SBarry Smith pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 6694cd38560SBarry Smith pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 6704cd38560SBarry Smith pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 6714cd38560SBarry Smith pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 6724cd38560SBarry Smith 6734cd38560SBarry Smith pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 6744cd38560SBarry Smith pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 6754cd38560SBarry Smith pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 6764cd38560SBarry Smith pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 6774cd38560SBarry Smith pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 6784cd38560SBarry Smith pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 6794cd38560SBarry Smith pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 6804cd38560SBarry Smith 6814cd38560SBarry Smith pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 6824cd38560SBarry Smith pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 6834cd38560SBarry Smith pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 6844cd38560SBarry Smith pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 6854cd38560SBarry Smith pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 6864cd38560SBarry Smith pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 6874cd38560SBarry Smith pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 6884cd38560SBarry Smith 6894cd38560SBarry Smith pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 6904cd38560SBarry Smith pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 6914cd38560SBarry Smith pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 6924cd38560SBarry Smith pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 6934cd38560SBarry Smith pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 6944cd38560SBarry Smith pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 6954cd38560SBarry Smith pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 6964cd38560SBarry Smith 6974cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 6984cd38560SBarry Smith pv += 49; 6994cd38560SBarry Smith for (j=0; j<nz; j++) { 7004cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 7014cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 7024cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 7034cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 7044cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 7054cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 7064cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 7074cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 7084cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 7094cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 7104cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 7114cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 7124cd38560SBarry Smith x49 = pv[48]; 7134cd38560SBarry Smith x = rtmp + 49*pj[j]; 7144cd38560SBarry Smith x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 7154cd38560SBarry Smith x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 7164cd38560SBarry Smith x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 7174cd38560SBarry Smith x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 7184cd38560SBarry Smith x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 7194cd38560SBarry Smith x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 7204cd38560SBarry Smith x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 7214cd38560SBarry Smith 7224cd38560SBarry Smith x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 7234cd38560SBarry Smith x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 7244cd38560SBarry Smith x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 7254cd38560SBarry Smith x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 7264cd38560SBarry Smith x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 7274cd38560SBarry Smith x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 7284cd38560SBarry Smith x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 7294cd38560SBarry Smith 7304cd38560SBarry Smith x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 7314cd38560SBarry Smith x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 7324cd38560SBarry Smith x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 7334cd38560SBarry Smith x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 7344cd38560SBarry Smith x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 7354cd38560SBarry Smith x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 7364cd38560SBarry Smith x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 7374cd38560SBarry Smith 7384cd38560SBarry Smith x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 7394cd38560SBarry Smith x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 7404cd38560SBarry Smith x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 7414cd38560SBarry Smith x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 7424cd38560SBarry Smith x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 7434cd38560SBarry Smith x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 7444cd38560SBarry Smith x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 7454cd38560SBarry Smith 7464cd38560SBarry Smith x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 7474cd38560SBarry Smith x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 7484cd38560SBarry Smith x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 7494cd38560SBarry Smith x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 7504cd38560SBarry Smith x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 7514cd38560SBarry Smith x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 7524cd38560SBarry Smith x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 7534cd38560SBarry Smith 7544cd38560SBarry Smith x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 7554cd38560SBarry Smith x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 7564cd38560SBarry Smith x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 7574cd38560SBarry Smith x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 7584cd38560SBarry Smith x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 7594cd38560SBarry Smith x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 7604cd38560SBarry Smith x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 7614cd38560SBarry Smith 7624cd38560SBarry Smith x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 7634cd38560SBarry Smith x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 7644cd38560SBarry Smith x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 7654cd38560SBarry Smith x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 7664cd38560SBarry Smith x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 7674cd38560SBarry Smith x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 7684cd38560SBarry Smith x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 7694cd38560SBarry Smith pv += 49; 7704cd38560SBarry Smith } 7714cd38560SBarry Smith PLogFlops(686*nz+637); 7724cd38560SBarry Smith } 7734cd38560SBarry Smith row = *ajtmp++; 7744cd38560SBarry Smith } 7754cd38560SBarry Smith /* finished row so stick it into b->a */ 7764cd38560SBarry Smith pv = ba + 49*bi[i]; 7774cd38560SBarry Smith pj = bj + bi[i]; 7784cd38560SBarry Smith nz = bi[i+1] - bi[i]; 7794cd38560SBarry Smith for (j=0; j<nz; j++) { 7804cd38560SBarry Smith x = rtmp+49*pj[j]; 7814cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 7824cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 7834cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 7844cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 7854cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 7864cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 7874cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 7884cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 7894cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 7904cd38560SBarry Smith pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 7914cd38560SBarry Smith pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 7924cd38560SBarry Smith pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 79315091d37SBarry Smith pv[48] = x[48]; 7944cd38560SBarry Smith pv += 49; 7954cd38560SBarry Smith } 7964cd38560SBarry Smith /* invert diagonal block */ 7974cd38560SBarry Smith w = ba + 49*diag_offset[i]; 7984cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr); 7994cd38560SBarry Smith } 8004cd38560SBarry Smith 801606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 8024cd38560SBarry Smith C->factor = FACTOR_LU; 8034cd38560SBarry Smith C->assembled = PETSC_TRUE; 8044cd38560SBarry Smith PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */ 8054cd38560SBarry Smith PetscFunctionReturn(0); 8064cd38560SBarry Smith } 8074cd38560SBarry Smith 8084cd38560SBarry Smith /* ------------------------------------------------------------*/ 8094cd38560SBarry Smith /* 8104cd38560SBarry Smith Version for when blocks are 6 by 6 8114cd38560SBarry Smith */ 8124cd38560SBarry Smith #undef __FUNC__ 8134cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_6" 8144cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_6(Mat A,Mat *B) 8154cd38560SBarry Smith { 8164cd38560SBarry Smith Mat C = *B; 8174cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 8184cd38560SBarry Smith IS isrow = b->row,isicol = b->icol; 8194cd38560SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 8204cd38560SBarry Smith int *ajtmpold,*ajtmp,nz,row; 821329f5518SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 822329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 8234cd38560SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 8244cd38560SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 8254cd38560SBarry Smith MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 8264cd38560SBarry Smith MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 8274cd38560SBarry Smith MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 8284cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 8294cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 8304cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 8314cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 8324cd38560SBarry Smith 8334cd38560SBarry Smith PetscFunctionBegin; 8344cd38560SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 8354cd38560SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 8364cd38560SBarry Smith rtmp = (MatScalar*)PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 8374cd38560SBarry Smith 8384cd38560SBarry Smith for (i=0; i<n; i++) { 8394cd38560SBarry Smith nz = bi[i+1] - bi[i]; 8404cd38560SBarry Smith ajtmp = bj + bi[i]; 8414cd38560SBarry Smith for (j=0; j<nz; j++) { 8424cd38560SBarry Smith x = rtmp+36*ajtmp[j]; 8434cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 8444cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 8454cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 8464cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 8474cd38560SBarry Smith x[34] = x[35] = 0.0 ; 8484cd38560SBarry Smith } 8494cd38560SBarry Smith /* load in initial (unfactored row) */ 8504cd38560SBarry Smith idx = r[i]; 8514cd38560SBarry Smith nz = ai[idx+1] - ai[idx]; 8524cd38560SBarry Smith ajtmpold = aj + ai[idx]; 8534cd38560SBarry Smith v = aa + 36*ai[idx]; 8544cd38560SBarry Smith for (j=0; j<nz; j++) { 8554cd38560SBarry Smith x = rtmp+36*ic[ajtmpold[j]]; 8564cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 8574cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 8584cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 8594cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 8604cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 8614cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 8624cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 8634cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 8644cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 8654cd38560SBarry Smith v += 36; 8664cd38560SBarry Smith } 8674cd38560SBarry Smith row = *ajtmp++; 8684cd38560SBarry Smith while (row < i) { 8694cd38560SBarry Smith pc = rtmp + 36*row; 8704cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 8714cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 8724cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 8734cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 8744cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 8754cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 8764cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 8774cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 8784cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 8794cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 8804cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 8814cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 8824cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 8834cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 8844cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 8854cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 8864cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 8874cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 8884cd38560SBarry Smith pv = ba + 36*diag_offset[row]; 8894cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 8904cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 8914cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 8924cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 8934cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 8944cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 8954cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 8964cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 8974cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 8984cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 8994cd38560SBarry Smith pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 9004cd38560SBarry Smith pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 9014cd38560SBarry Smith pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 9024cd38560SBarry Smith pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 9034cd38560SBarry Smith pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 9044cd38560SBarry Smith pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 9054cd38560SBarry Smith 9064cd38560SBarry Smith pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 9074cd38560SBarry Smith pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 9084cd38560SBarry Smith pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 9094cd38560SBarry Smith pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 9104cd38560SBarry Smith pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 9114cd38560SBarry Smith pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 9124cd38560SBarry Smith 9134cd38560SBarry Smith pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 9144cd38560SBarry Smith pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 9154cd38560SBarry Smith pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 9164cd38560SBarry Smith pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 9174cd38560SBarry Smith pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 9184cd38560SBarry Smith pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 9194cd38560SBarry Smith 9204cd38560SBarry Smith pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 9214cd38560SBarry Smith pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 9224cd38560SBarry Smith pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 9234cd38560SBarry Smith pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 9244cd38560SBarry Smith pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 9254cd38560SBarry Smith pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 9264cd38560SBarry Smith 9274cd38560SBarry Smith pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 9284cd38560SBarry Smith pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 9294cd38560SBarry Smith pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 9304cd38560SBarry Smith pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 9314cd38560SBarry Smith pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 9324cd38560SBarry Smith pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 9334cd38560SBarry Smith 9344cd38560SBarry Smith pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 9354cd38560SBarry Smith pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 9364cd38560SBarry Smith pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 9374cd38560SBarry Smith pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 9384cd38560SBarry Smith pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 9394cd38560SBarry Smith pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 9404cd38560SBarry Smith 9414cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 9424cd38560SBarry Smith pv += 36; 9434cd38560SBarry Smith for (j=0; j<nz; j++) { 9444cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 9454cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 9464cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 9474cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 9484cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 9494cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 9504cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 9514cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 9524cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 9534cd38560SBarry Smith x = rtmp + 36*pj[j]; 9544cd38560SBarry Smith x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 9554cd38560SBarry Smith x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 9564cd38560SBarry Smith x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 9574cd38560SBarry Smith x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 9584cd38560SBarry Smith x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 9594cd38560SBarry Smith x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 9604cd38560SBarry Smith 9614cd38560SBarry Smith x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 9624cd38560SBarry Smith x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 9634cd38560SBarry Smith x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 9644cd38560SBarry Smith x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 9654cd38560SBarry Smith x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 9664cd38560SBarry Smith x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 9674cd38560SBarry Smith 9684cd38560SBarry Smith x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 9694cd38560SBarry Smith x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 9704cd38560SBarry Smith x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 9714cd38560SBarry Smith x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 9724cd38560SBarry Smith x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 9734cd38560SBarry Smith x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 9744cd38560SBarry Smith 9754cd38560SBarry Smith x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 9764cd38560SBarry Smith x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 9774cd38560SBarry Smith x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 9784cd38560SBarry Smith x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 9794cd38560SBarry Smith x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 9804cd38560SBarry Smith x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 9814cd38560SBarry Smith 9824cd38560SBarry Smith x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 9834cd38560SBarry Smith x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 9844cd38560SBarry Smith x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 9854cd38560SBarry Smith x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 9864cd38560SBarry Smith x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 9874cd38560SBarry Smith x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 9884cd38560SBarry Smith 9894cd38560SBarry Smith x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 9904cd38560SBarry Smith x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 9914cd38560SBarry Smith x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 9924cd38560SBarry Smith x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 9934cd38560SBarry Smith x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 9944cd38560SBarry Smith x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 9954cd38560SBarry Smith 9964cd38560SBarry Smith pv += 36; 9974cd38560SBarry Smith } 9984cd38560SBarry Smith PLogFlops(432*nz+396); 9994cd38560SBarry Smith } 10004cd38560SBarry Smith row = *ajtmp++; 10014cd38560SBarry Smith } 10024cd38560SBarry Smith /* finished row so stick it into b->a */ 10034cd38560SBarry Smith pv = ba + 36*bi[i]; 10044cd38560SBarry Smith pj = bj + bi[i]; 10054cd38560SBarry Smith nz = bi[i+1] - bi[i]; 10064cd38560SBarry Smith for (j=0; j<nz; j++) { 10074cd38560SBarry Smith x = rtmp+36*pj[j]; 10084cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 10094cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 10104cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 10114cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 10124cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 10134cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 10144cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 10154cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 10164cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 10174cd38560SBarry Smith pv += 36; 10184cd38560SBarry Smith } 10194cd38560SBarry Smith /* invert diagonal block */ 10204cd38560SBarry Smith w = ba + 36*diag_offset[i]; 10214cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr); 10224cd38560SBarry Smith } 10234cd38560SBarry Smith 1024606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 10254cd38560SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 10264cd38560SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 10274cd38560SBarry Smith C->factor = FACTOR_LU; 10284cd38560SBarry Smith C->assembled = PETSC_TRUE; 10294cd38560SBarry Smith PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 10304cd38560SBarry Smith PetscFunctionReturn(0); 10314cd38560SBarry Smith } 10324cd38560SBarry Smith /* 10334cd38560SBarry Smith Version for when blocks are 6 by 6 Using natural ordering 10344cd38560SBarry Smith */ 10354cd38560SBarry Smith #undef __FUNC__ 10364cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering" 10374cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat A,Mat *B) 10384cd38560SBarry Smith { 10394cd38560SBarry Smith Mat C = *B; 10404cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 10414cd38560SBarry Smith int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 10424cd38560SBarry Smith int *ajtmpold,*ajtmp,nz,row; 1043329f5518SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 1044329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 10454cd38560SBarry Smith MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 10464cd38560SBarry Smith MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 10474cd38560SBarry Smith MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 10484cd38560SBarry Smith MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 10494cd38560SBarry Smith MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 10504cd38560SBarry Smith MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 10514cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 10524cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 10534cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 10544cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 10554cd38560SBarry Smith 10564cd38560SBarry Smith PetscFunctionBegin; 10574cd38560SBarry Smith rtmp = (MatScalar*)PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 10584cd38560SBarry Smith for (i=0; i<n; i++) { 10594cd38560SBarry Smith nz = bi[i+1] - bi[i]; 10604cd38560SBarry Smith ajtmp = bj + bi[i]; 10614cd38560SBarry Smith for (j=0; j<nz; j++) { 10624cd38560SBarry Smith x = rtmp+36*ajtmp[j]; 10634cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 10644cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 10654cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 10664cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 10674cd38560SBarry Smith x[34] = x[35] = 0.0 ; 10684cd38560SBarry Smith } 10694cd38560SBarry Smith /* load in initial (unfactored row) */ 10704cd38560SBarry Smith nz = ai[i+1] - ai[i]; 10714cd38560SBarry Smith ajtmpold = aj + ai[i]; 10724cd38560SBarry Smith v = aa + 36*ai[i]; 10734cd38560SBarry Smith for (j=0; j<nz; j++) { 10744cd38560SBarry Smith x = rtmp+36*ajtmpold[j]; 10754cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 10764cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 10774cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 10784cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 10794cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 10804cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 10814cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 10824cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 10834cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 10844cd38560SBarry Smith v += 36; 10854cd38560SBarry Smith } 10864cd38560SBarry Smith row = *ajtmp++; 10874cd38560SBarry Smith while (row < i) { 10884cd38560SBarry Smith pc = rtmp + 36*row; 10894cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 10904cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 10914cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 10924cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 10934cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 10944cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 10954cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 10964cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 10974cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 10984cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 10994cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 11004cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 11014cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 11024cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 11034cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 11044cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 11054cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 11064cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 11074cd38560SBarry Smith pv = ba + 36*diag_offset[row]; 11084cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 11094cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 11104cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 11114cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 11124cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 11134cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 11144cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 11154cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 11164cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 11174cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 11184cd38560SBarry Smith pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 11194cd38560SBarry Smith pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 11204cd38560SBarry Smith pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 11214cd38560SBarry Smith pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 11224cd38560SBarry Smith pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 11234cd38560SBarry Smith pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 11244cd38560SBarry Smith 11254cd38560SBarry Smith pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 11264cd38560SBarry Smith pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 11274cd38560SBarry Smith pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 11284cd38560SBarry Smith pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 11294cd38560SBarry Smith pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 11304cd38560SBarry Smith pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 11314cd38560SBarry Smith 11324cd38560SBarry Smith pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 11334cd38560SBarry Smith pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 11344cd38560SBarry Smith pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 11354cd38560SBarry Smith pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 11364cd38560SBarry Smith pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 11374cd38560SBarry Smith pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 11384cd38560SBarry Smith 11394cd38560SBarry Smith pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 11404cd38560SBarry Smith pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 11414cd38560SBarry Smith pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 11424cd38560SBarry Smith pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 11434cd38560SBarry Smith pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 11444cd38560SBarry Smith pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 11454cd38560SBarry Smith 11464cd38560SBarry Smith pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 11474cd38560SBarry Smith pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 11484cd38560SBarry Smith pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 11494cd38560SBarry Smith pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 11504cd38560SBarry Smith pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 11514cd38560SBarry Smith pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 11524cd38560SBarry Smith 11534cd38560SBarry Smith pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 11544cd38560SBarry Smith pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 11554cd38560SBarry Smith pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 11564cd38560SBarry Smith pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 11574cd38560SBarry Smith pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 11584cd38560SBarry Smith pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 11594cd38560SBarry Smith 11604cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 11614cd38560SBarry Smith pv += 36; 11624cd38560SBarry Smith for (j=0; j<nz; j++) { 11634cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 11644cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 11654cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 11664cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 11674cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 11684cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 11694cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 11704cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 11714cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 11724cd38560SBarry Smith x = rtmp + 36*pj[j]; 11734cd38560SBarry Smith x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 11744cd38560SBarry Smith x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 11754cd38560SBarry Smith x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 11764cd38560SBarry Smith x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 11774cd38560SBarry Smith x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 11784cd38560SBarry Smith x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 11794cd38560SBarry Smith 11804cd38560SBarry Smith x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 11814cd38560SBarry Smith x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 11824cd38560SBarry Smith x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 11834cd38560SBarry Smith x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 11844cd38560SBarry Smith x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 11854cd38560SBarry Smith x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 11864cd38560SBarry Smith 11874cd38560SBarry Smith x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 11884cd38560SBarry Smith x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 11894cd38560SBarry Smith x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 11904cd38560SBarry Smith x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 11914cd38560SBarry Smith x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 11924cd38560SBarry Smith x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 11934cd38560SBarry Smith 11944cd38560SBarry Smith x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 11954cd38560SBarry Smith x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 11964cd38560SBarry Smith x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 11974cd38560SBarry Smith x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 11984cd38560SBarry Smith x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 11994cd38560SBarry Smith x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 12004cd38560SBarry Smith 12014cd38560SBarry Smith x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 12024cd38560SBarry Smith x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 12034cd38560SBarry Smith x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 12044cd38560SBarry Smith x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 12054cd38560SBarry Smith x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 12064cd38560SBarry Smith x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 12074cd38560SBarry Smith 12084cd38560SBarry Smith x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 12094cd38560SBarry Smith x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 12104cd38560SBarry Smith x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 12114cd38560SBarry Smith x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 12124cd38560SBarry Smith x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 12134cd38560SBarry Smith x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 12144cd38560SBarry Smith 12154cd38560SBarry Smith pv += 36; 12164cd38560SBarry Smith } 12174cd38560SBarry Smith PLogFlops(432*nz+396); 12184cd38560SBarry Smith } 12194cd38560SBarry Smith row = *ajtmp++; 12204cd38560SBarry Smith } 12214cd38560SBarry Smith /* finished row so stick it into b->a */ 12224cd38560SBarry Smith pv = ba + 36*bi[i]; 12234cd38560SBarry Smith pj = bj + bi[i]; 12244cd38560SBarry Smith nz = bi[i+1] - bi[i]; 12254cd38560SBarry Smith for (j=0; j<nz; j++) { 12264cd38560SBarry Smith x = rtmp+36*pj[j]; 12274cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 12284cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 12294cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 12304cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 12314cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 12324cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 12334cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 12344cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 12354cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 12364cd38560SBarry Smith pv += 36; 12374cd38560SBarry Smith } 12384cd38560SBarry Smith /* invert diagonal block */ 12394cd38560SBarry Smith w = ba + 36*diag_offset[i]; 12404cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr); 12414cd38560SBarry Smith } 12424cd38560SBarry Smith 1243606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 12444cd38560SBarry Smith C->factor = FACTOR_LU; 12454cd38560SBarry Smith C->assembled = PETSC_TRUE; 12464cd38560SBarry Smith PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 12474cd38560SBarry Smith PetscFunctionReturn(0); 12484cd38560SBarry Smith } 12494cd38560SBarry Smith 12504cd38560SBarry Smith /* ------------------------------------------------------------*/ 12514cd38560SBarry Smith /* 12526d84be18SBarry Smith Version for when blocks are 5 by 5 12536d84be18SBarry Smith */ 12545615d1e5SSatish Balay #undef __FUNC__ 12555615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_5" 12566d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_5(Mat A,Mat *B) 12576d84be18SBarry Smith { 12586d84be18SBarry Smith Mat C = *B; 12596d84be18SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 12607cdf2dbbSSatish Balay IS isrow = b->row,isicol = b->icol; 12614078e994SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 12628a36c062SBarry Smith int *ajtmpold,*ajtmp,nz,row; 1263329f5518SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 1264329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 12653f1db9ecSBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 12663f1db9ecSBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 12673f1db9ecSBarry Smith MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 12683f1db9ecSBarry Smith MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 12693f1db9ecSBarry Smith MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 12703f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 12716d84be18SBarry Smith 12723a40ed3dSBarry Smith PetscFunctionBegin; 12736d84be18SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 12746d84be18SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 12753f1db9ecSBarry Smith rtmp = (MatScalar*)PetscMalloc(25*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 12766d84be18SBarry Smith 12776d84be18SBarry Smith for (i=0; i<n; i++) { 12784078e994SBarry Smith nz = bi[i+1] - bi[i]; 12794078e994SBarry Smith ajtmp = bj + bi[i]; 12806d84be18SBarry Smith for (j=0; j<nz; j++) { 12816d84be18SBarry Smith x = rtmp+25*ajtmp[j]; 12826d84be18SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 12836d84be18SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 12846d84be18SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 12856d84be18SBarry Smith } 12866d84be18SBarry Smith /* load in initial (unfactored row) */ 12876d84be18SBarry Smith idx = r[i]; 12884078e994SBarry Smith nz = ai[idx+1] - ai[idx]; 12894078e994SBarry Smith ajtmpold = aj + ai[idx]; 12904078e994SBarry Smith v = aa + 25*ai[idx]; 12916d84be18SBarry Smith for (j=0; j<nz; j++) { 12926d84be18SBarry Smith x = rtmp+25*ic[ajtmpold[j]]; 12936d84be18SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 12946d84be18SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 12956d84be18SBarry Smith x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 12966d84be18SBarry Smith x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; 12976d84be18SBarry Smith x[18] = v[18]; x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; 12986d84be18SBarry Smith x[22] = v[22]; x[23] = v[23]; x[24] = v[24]; 12996d84be18SBarry Smith v += 25; 13006d84be18SBarry Smith } 13016d84be18SBarry Smith row = *ajtmp++; 13026d84be18SBarry Smith while (row < i) { 13036d84be18SBarry Smith pc = rtmp + 25*row; 13046d84be18SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 13056d84be18SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 13066d84be18SBarry Smith p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 13076d84be18SBarry Smith p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; 13086d84be18SBarry Smith p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 13096d84be18SBarry Smith p25 = pc[24]; 13106d84be18SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 13116d84be18SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 13126d84be18SBarry Smith p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 13136d84be18SBarry Smith || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || 13146d84be18SBarry Smith p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || 13154078e994SBarry Smith p24 != 0.0 || p25 != 0.0) { 13164078e994SBarry Smith pv = ba + 25*diag_offset[row]; 13174078e994SBarry Smith pj = bj + diag_offset[row] + 1; 13186d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 13196d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 13206d84be18SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 13216d84be18SBarry Smith x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 13226d84be18SBarry Smith x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; 13236d84be18SBarry Smith x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 13246d84be18SBarry Smith pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 13256d84be18SBarry Smith pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 13266d84be18SBarry Smith pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 13276d84be18SBarry Smith pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 13286d84be18SBarry Smith pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 13296d84be18SBarry Smith 13306d84be18SBarry Smith pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 13316d84be18SBarry Smith pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 13326d84be18SBarry Smith pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 13336d84be18SBarry Smith pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 13346d84be18SBarry Smith pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 13356d84be18SBarry Smith 13366d84be18SBarry Smith pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 13376d84be18SBarry Smith pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 13386d84be18SBarry Smith pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 13396d84be18SBarry Smith pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 13406d84be18SBarry Smith pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 13416d84be18SBarry Smith 13426d84be18SBarry Smith pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 13436d84be18SBarry Smith pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 13446d84be18SBarry Smith pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 13456d84be18SBarry Smith pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 13466d84be18SBarry Smith pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 13476d84be18SBarry Smith 13486d84be18SBarry Smith pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 13496d84be18SBarry Smith pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 13506d84be18SBarry Smith pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 13516d84be18SBarry Smith pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 13526d84be18SBarry Smith pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 13536d84be18SBarry Smith 13544078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 13556d84be18SBarry Smith pv += 25; 13566d84be18SBarry Smith for (j=0; j<nz; j++) { 13576d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 13586d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 13596d84be18SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 13606d84be18SBarry Smith x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; 13616d84be18SBarry Smith x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; 13626d84be18SBarry Smith x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 13636d84be18SBarry Smith x = rtmp + 25*pj[j]; 13646d84be18SBarry Smith x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 13656d84be18SBarry Smith x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 13666d84be18SBarry Smith x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 13676d84be18SBarry Smith x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 13686d84be18SBarry Smith x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 13696d84be18SBarry Smith 13706d84be18SBarry Smith x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 13716d84be18SBarry Smith x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 13726d84be18SBarry Smith x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 13736d84be18SBarry Smith x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 13746d84be18SBarry Smith x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 13756d84be18SBarry Smith 13766d84be18SBarry Smith x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 13776d84be18SBarry Smith x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 13786d84be18SBarry Smith x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 13796d84be18SBarry Smith x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 13806d84be18SBarry Smith x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 13816d84be18SBarry Smith 13826d84be18SBarry Smith x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 13836d84be18SBarry Smith x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 13846d84be18SBarry Smith x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 13856d84be18SBarry Smith x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 13866d84be18SBarry Smith x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 13876d84be18SBarry Smith 13886d84be18SBarry Smith x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 13896d84be18SBarry Smith x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 13906d84be18SBarry Smith x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 13916d84be18SBarry Smith x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 13926d84be18SBarry Smith x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 13936d84be18SBarry Smith 13946d84be18SBarry Smith pv += 25; 13956d84be18SBarry Smith } 13966d84be18SBarry Smith PLogFlops(250*nz+225); 13976d84be18SBarry Smith } 13986d84be18SBarry Smith row = *ajtmp++; 13996d84be18SBarry Smith } 14006d84be18SBarry Smith /* finished row so stick it into b->a */ 14014078e994SBarry Smith pv = ba + 25*bi[i]; 14024078e994SBarry Smith pj = bj + bi[i]; 14034078e994SBarry Smith nz = bi[i+1] - bi[i]; 14046d84be18SBarry Smith for (j=0; j<nz; j++) { 14056d84be18SBarry Smith x = rtmp+25*pj[j]; 14066d84be18SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 14076d84be18SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 14086d84be18SBarry Smith pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 14096d84be18SBarry Smith pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; 14106d84be18SBarry Smith pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; 14116d84be18SBarry Smith pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; pv[24] = x[24]; 14126d84be18SBarry Smith pv += 25; 14136d84be18SBarry Smith } 14146d84be18SBarry Smith /* invert diagonal block */ 14154078e994SBarry Smith w = ba + 25*diag_offset[i]; 14168a36c062SBarry Smith ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr); 14176d84be18SBarry Smith } 14186d84be18SBarry Smith 1419606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 14206d84be18SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 14216d84be18SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 14226d84be18SBarry Smith C->factor = FACTOR_LU; 14236d84be18SBarry Smith C->assembled = PETSC_TRUE; 14246d84be18SBarry Smith PLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */ 14253a40ed3dSBarry Smith PetscFunctionReturn(0); 14266d84be18SBarry Smith } 14274cd38560SBarry Smith /* 14284cd38560SBarry Smith Version for when blocks are 5 by 5 Using natural ordering 14294cd38560SBarry Smith */ 14304cd38560SBarry Smith #undef __FUNC__ 14314cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering" 14324cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering(Mat A,Mat *B) 14334cd38560SBarry Smith { 14344cd38560SBarry Smith Mat C = *B; 14354cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 14364cd38560SBarry Smith int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 14374cd38560SBarry Smith int *ajtmpold,*ajtmp,nz,row; 1438329f5518SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 1439329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 14404cd38560SBarry Smith MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 14414cd38560SBarry Smith MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 14424cd38560SBarry Smith MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 14434cd38560SBarry Smith MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 14444cd38560SBarry Smith MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 14454cd38560SBarry Smith MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 14464cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 14474cd38560SBarry Smith 14484cd38560SBarry Smith PetscFunctionBegin; 14494cd38560SBarry Smith rtmp = (MatScalar*)PetscMalloc(25*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 14504cd38560SBarry Smith for (i=0; i<n; i++) { 14514cd38560SBarry Smith nz = bi[i+1] - bi[i]; 14524cd38560SBarry Smith ajtmp = bj + bi[i]; 14534cd38560SBarry Smith for (j=0; j<nz; j++) { 14544cd38560SBarry Smith x = rtmp+25*ajtmp[j]; 14554cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 14564cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 14574cd38560SBarry Smith x[16] = x[17] = x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 14584cd38560SBarry Smith } 14594cd38560SBarry Smith /* load in initial (unfactored row) */ 14604cd38560SBarry Smith nz = ai[i+1] - ai[i]; 14614cd38560SBarry Smith ajtmpold = aj + ai[i]; 14624cd38560SBarry Smith v = aa + 25*ai[i]; 14634cd38560SBarry Smith for (j=0; j<nz; j++) { 14644cd38560SBarry Smith x = rtmp+25*ajtmpold[j]; 14654cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 14664cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 14674cd38560SBarry Smith x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 14684cd38560SBarry Smith x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; 14694cd38560SBarry Smith x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 14704cd38560SBarry Smith x[24] = v[24]; 14714cd38560SBarry Smith v += 25; 14724cd38560SBarry Smith } 14734cd38560SBarry Smith row = *ajtmp++; 14744cd38560SBarry Smith while (row < i) { 14754cd38560SBarry Smith pc = rtmp + 25*row; 14764cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 14774cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 14784cd38560SBarry Smith p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 14794cd38560SBarry Smith p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; 14804cd38560SBarry Smith p19 = pc[18]; p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; 14814cd38560SBarry Smith p24 = pc[23]; p25 = pc[24]; 14824cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 14834cd38560SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 14844cd38560SBarry Smith p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 14854cd38560SBarry Smith || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 14864cd38560SBarry Smith || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0) { 14874cd38560SBarry Smith pv = ba + 25*diag_offset[row]; 14884cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 14894cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 14904cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 14914cd38560SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 14924cd38560SBarry Smith x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; 14934cd38560SBarry Smith x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 14944cd38560SBarry Smith x25 = pv[24]; 14954cd38560SBarry Smith pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 14964cd38560SBarry Smith pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 14974cd38560SBarry Smith pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 14984cd38560SBarry Smith pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 14994cd38560SBarry Smith pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 15004cd38560SBarry Smith 15014cd38560SBarry Smith pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 15024cd38560SBarry Smith pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 15034cd38560SBarry Smith pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 15044cd38560SBarry Smith pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 15054cd38560SBarry Smith pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 15064cd38560SBarry Smith 15074cd38560SBarry Smith pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 15084cd38560SBarry Smith pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 15094cd38560SBarry Smith pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 15104cd38560SBarry Smith pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 15114cd38560SBarry Smith pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 15124cd38560SBarry Smith 15134cd38560SBarry Smith pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 15144cd38560SBarry Smith pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 15154cd38560SBarry Smith pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 15164cd38560SBarry Smith pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 15174cd38560SBarry Smith pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 15184cd38560SBarry Smith 15194cd38560SBarry Smith pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 15204cd38560SBarry Smith pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 15214cd38560SBarry Smith pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 15224cd38560SBarry Smith pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 15234cd38560SBarry Smith pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 15244cd38560SBarry Smith 15254cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 15264cd38560SBarry Smith pv += 25; 15274cd38560SBarry Smith for (j=0; j<nz; j++) { 15284cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 15294cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 15304cd38560SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 15314cd38560SBarry Smith x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 15324cd38560SBarry Smith x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; 15334cd38560SBarry Smith x24 = pv[23]; x25 = pv[24]; 15344cd38560SBarry Smith x = rtmp + 25*pj[j]; 15354cd38560SBarry Smith x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 15364cd38560SBarry Smith x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 15374cd38560SBarry Smith x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 15384cd38560SBarry Smith x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 15394cd38560SBarry Smith x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 15404cd38560SBarry Smith 15414cd38560SBarry Smith x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 15424cd38560SBarry Smith x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 15434cd38560SBarry Smith x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 15444cd38560SBarry Smith x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 15454cd38560SBarry Smith x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 15464cd38560SBarry Smith 15474cd38560SBarry Smith x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 15484cd38560SBarry Smith x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 15494cd38560SBarry Smith x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 15504cd38560SBarry Smith x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 15514cd38560SBarry Smith x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 15524cd38560SBarry Smith 15534cd38560SBarry Smith x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 15544cd38560SBarry Smith x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 15554cd38560SBarry Smith x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 15564cd38560SBarry Smith x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 15574cd38560SBarry Smith x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 15584cd38560SBarry Smith 15594cd38560SBarry Smith x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 15604cd38560SBarry Smith x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 15614cd38560SBarry Smith x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 15624cd38560SBarry Smith x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 15634cd38560SBarry Smith x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 15644cd38560SBarry Smith pv += 25; 15654cd38560SBarry Smith } 15664cd38560SBarry Smith PLogFlops(250*nz+225); 15674cd38560SBarry Smith } 15684cd38560SBarry Smith row = *ajtmp++; 15694cd38560SBarry Smith } 15704cd38560SBarry Smith /* finished row so stick it into b->a */ 15714cd38560SBarry Smith pv = ba + 25*bi[i]; 15724cd38560SBarry Smith pj = bj + bi[i]; 15734cd38560SBarry Smith nz = bi[i+1] - bi[i]; 15744cd38560SBarry Smith for (j=0; j<nz; j++) { 15754cd38560SBarry Smith x = rtmp+25*pj[j]; 15764cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 15774cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 15784cd38560SBarry Smith pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 15794cd38560SBarry Smith pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; pv[17] = x[17]; 15804cd38560SBarry Smith pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; 15814cd38560SBarry Smith pv[23] = x[23]; pv[24] = x[24]; 15824cd38560SBarry Smith pv += 25; 15834cd38560SBarry Smith } 15844cd38560SBarry Smith /* invert diagonal block */ 15854cd38560SBarry Smith w = ba + 25*diag_offset[i]; 15864cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr); 15874cd38560SBarry Smith } 15884cd38560SBarry Smith 1589606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 15904cd38560SBarry Smith C->factor = FACTOR_LU; 15914cd38560SBarry Smith C->assembled = PETSC_TRUE; 15924cd38560SBarry Smith PLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */ 15934cd38560SBarry Smith PetscFunctionReturn(0); 15944cd38560SBarry Smith } 15956d84be18SBarry Smith 15966d84be18SBarry Smith /* ------------------------------------------------------------*/ 15976d84be18SBarry Smith /* 15986d84be18SBarry Smith Version for when blocks are 4 by 4 15996d84be18SBarry Smith */ 16005615d1e5SSatish Balay #undef __FUNC__ 16015615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_4" 16026d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_4(Mat A,Mat *B) 16036d84be18SBarry Smith { 16046d84be18SBarry Smith Mat C = *B; 16056d84be18SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 16067cdf2dbbSSatish Balay IS isrow = b->row,isicol = b->icol; 16074078e994SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 16088a36c062SBarry Smith int *ajtmpold,*ajtmp,nz,row; 1609329f5518SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 1610329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 16113f1db9ecSBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 16123f1db9ecSBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 16133f1db9ecSBarry Smith MatScalar p10,p11,p12,p13,p14,p15,p16,m10,m11,m12; 16143f1db9ecSBarry Smith MatScalar m13,m14,m15,m16; 16153f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 16166d84be18SBarry Smith 16173a40ed3dSBarry Smith PetscFunctionBegin; 16186d84be18SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 16196d84be18SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 16203f1db9ecSBarry Smith rtmp = (MatScalar*)PetscMalloc(16*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 16216d84be18SBarry Smith 16226d84be18SBarry Smith for (i=0; i<n; i++) { 16234078e994SBarry Smith nz = bi[i+1] - bi[i]; 16244078e994SBarry Smith ajtmp = bj + bi[i]; 16256d84be18SBarry Smith for (j=0; j<nz; j++) { 16266d84be18SBarry Smith x = rtmp+16*ajtmp[j]; 16276d84be18SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 16286d84be18SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 16296d84be18SBarry Smith } 16306d84be18SBarry Smith /* load in initial (unfactored row) */ 16316d84be18SBarry Smith idx = r[i]; 16324078e994SBarry Smith nz = ai[idx+1] - ai[idx]; 16334078e994SBarry Smith ajtmpold = aj + ai[idx]; 16344078e994SBarry Smith v = aa + 16*ai[idx]; 16356d84be18SBarry Smith for (j=0; j<nz; j++) { 16366d84be18SBarry Smith x = rtmp+16*ic[ajtmpold[j]]; 16376d84be18SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 16386d84be18SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 16396d84be18SBarry Smith x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 16406d84be18SBarry Smith x[14] = v[14]; x[15] = v[15]; 16416d84be18SBarry Smith v += 16; 16426d84be18SBarry Smith } 16436d84be18SBarry Smith row = *ajtmp++; 16446d84be18SBarry Smith while (row < i) { 16456d84be18SBarry Smith pc = rtmp + 16*row; 16466d84be18SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 16476d84be18SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 16486d84be18SBarry Smith p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 16496d84be18SBarry Smith p15 = pc[14]; p16 = pc[15]; 16506d84be18SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 16516d84be18SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 16526d84be18SBarry Smith p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 16536d84be18SBarry Smith || p16 != 0.0) { 16544078e994SBarry Smith pv = ba + 16*diag_offset[row]; 16554078e994SBarry Smith pj = bj + diag_offset[row] + 1; 16566d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 16576d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 16586d84be18SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 16596d84be18SBarry Smith x15 = pv[14]; x16 = pv[15]; 16606d84be18SBarry Smith pc[0] = m1 = p1*x1 + p5*x2 + p9*x3 + p13*x4; 16616d84be18SBarry Smith pc[1] = m2 = p2*x1 + p6*x2 + p10*x3 + p14*x4; 16626d84be18SBarry Smith pc[2] = m3 = p3*x1 + p7*x2 + p11*x3 + p15*x4; 16636d84be18SBarry Smith pc[3] = m4 = p4*x1 + p8*x2 + p12*x3 + p16*x4; 16646d84be18SBarry Smith 16656d84be18SBarry Smith pc[4] = m5 = p1*x5 + p5*x6 + p9*x7 + p13*x8; 16666d84be18SBarry Smith pc[5] = m6 = p2*x5 + p6*x6 + p10*x7 + p14*x8; 16676d84be18SBarry Smith pc[6] = m7 = p3*x5 + p7*x6 + p11*x7 + p15*x8; 16686d84be18SBarry Smith pc[7] = m8 = p4*x5 + p8*x6 + p12*x7 + p16*x8; 16696d84be18SBarry Smith 16706d84be18SBarry Smith pc[8] = m9 = p1*x9 + p5*x10 + p9*x11 + p13*x12; 16716d84be18SBarry Smith pc[9] = m10 = p2*x9 + p6*x10 + p10*x11 + p14*x12; 16726d84be18SBarry Smith pc[10] = m11 = p3*x9 + p7*x10 + p11*x11 + p15*x12; 16736d84be18SBarry Smith pc[11] = m12 = p4*x9 + p8*x10 + p12*x11 + p16*x12; 16746d84be18SBarry Smith 16756d84be18SBarry Smith pc[12] = m13 = p1*x13 + p5*x14 + p9*x15 + p13*x16; 16766d84be18SBarry Smith pc[13] = m14 = p2*x13 + p6*x14 + p10*x15 + p14*x16; 16776d84be18SBarry Smith pc[14] = m15 = p3*x13 + p7*x14 + p11*x15 + p15*x16; 16786d84be18SBarry Smith pc[15] = m16 = p4*x13 + p8*x14 + p12*x15 + p16*x16; 16796d84be18SBarry Smith 16804078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 16816d84be18SBarry Smith pv += 16; 16826d84be18SBarry Smith for (j=0; j<nz; j++) { 16836d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 16846d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 16856d84be18SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 16866d84be18SBarry Smith x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 16876d84be18SBarry Smith x = rtmp + 16*pj[j]; 16886d84be18SBarry Smith x[0] -= m1*x1 + m5*x2 + m9*x3 + m13*x4; 16896d84be18SBarry Smith x[1] -= m2*x1 + m6*x2 + m10*x3 + m14*x4; 16906d84be18SBarry Smith x[2] -= m3*x1 + m7*x2 + m11*x3 + m15*x4; 16916d84be18SBarry Smith x[3] -= m4*x1 + m8*x2 + m12*x3 + m16*x4; 16926d84be18SBarry Smith 16936d84be18SBarry Smith x[4] -= m1*x5 + m5*x6 + m9*x7 + m13*x8; 16946d84be18SBarry Smith x[5] -= m2*x5 + m6*x6 + m10*x7 + m14*x8; 16956d84be18SBarry Smith x[6] -= m3*x5 + m7*x6 + m11*x7 + m15*x8; 16966d84be18SBarry Smith x[7] -= m4*x5 + m8*x6 + m12*x7 + m16*x8; 16976d84be18SBarry Smith 16986d84be18SBarry Smith x[8] -= m1*x9 + m5*x10 + m9*x11 + m13*x12; 16996d84be18SBarry Smith x[9] -= m2*x9 + m6*x10 + m10*x11 + m14*x12; 17006d84be18SBarry Smith x[10] -= m3*x9 + m7*x10 + m11*x11 + m15*x12; 17016d84be18SBarry Smith x[11] -= m4*x9 + m8*x10 + m12*x11 + m16*x12; 17026d84be18SBarry Smith 17036d84be18SBarry Smith x[12] -= m1*x13 + m5*x14 + m9*x15 + m13*x16; 17046d84be18SBarry Smith x[13] -= m2*x13 + m6*x14 + m10*x15 + m14*x16; 17056d84be18SBarry Smith x[14] -= m3*x13 + m7*x14 + m11*x15 + m15*x16; 17066d84be18SBarry Smith x[15] -= m4*x13 + m8*x14 + m12*x15 + m16*x16; 17076d84be18SBarry Smith 17086d84be18SBarry Smith pv += 16; 17096d84be18SBarry Smith } 17106d84be18SBarry Smith PLogFlops(128*nz+112); 17116d84be18SBarry Smith } 17126d84be18SBarry Smith row = *ajtmp++; 17136d84be18SBarry Smith } 17146d84be18SBarry Smith /* finished row so stick it into b->a */ 17154078e994SBarry Smith pv = ba + 16*bi[i]; 17164078e994SBarry Smith pj = bj + bi[i]; 17174078e994SBarry Smith nz = bi[i+1] - bi[i]; 17186d84be18SBarry Smith for (j=0; j<nz; j++) { 17196d84be18SBarry Smith x = rtmp+16*pj[j]; 17206d84be18SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 17216d84be18SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 17226d84be18SBarry Smith pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 17236d84be18SBarry Smith pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 17246d84be18SBarry Smith pv += 16; 17256d84be18SBarry Smith } 17266d84be18SBarry Smith /* invert diagonal block */ 17274078e994SBarry Smith w = ba + 16*diag_offset[i]; 17288a36c062SBarry Smith ierr = Kernel_A_gets_inverse_A_4(w);CHKERRQ(ierr); 17296d84be18SBarry Smith } 17306d84be18SBarry Smith 1731606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 17326d84be18SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 17336d84be18SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 17346d84be18SBarry Smith C->factor = FACTOR_LU; 17356d84be18SBarry Smith C->assembled = PETSC_TRUE; 17366d84be18SBarry Smith PLogFlops(1.3333*64*b->mbs); /* from inverting diagonal blocks */ 17373a40ed3dSBarry Smith PetscFunctionReturn(0); 17386d84be18SBarry Smith } 173983559355SBarry Smith /* 174083559355SBarry Smith Version for when blocks are 4 by 4 Using natural ordering 174183559355SBarry Smith */ 174283559355SBarry Smith #undef __FUNC__ 174383559355SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering" 174483559355SBarry Smith int MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering(Mat A,Mat *B) 174583559355SBarry Smith { 174683559355SBarry Smith Mat C = *B; 174783559355SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 174883559355SBarry Smith int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 174983559355SBarry Smith int *ajtmpold,*ajtmp,nz,row; 1750329f5518SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 1751329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 17523f1db9ecSBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 17533f1db9ecSBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 17543f1db9ecSBarry Smith MatScalar p10,p11,p12,p13,p14,p15,p16,m10,m11,m12; 17553f1db9ecSBarry Smith MatScalar m13,m14,m15,m16; 17563f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 175783559355SBarry Smith 17583a40ed3dSBarry Smith PetscFunctionBegin; 17593f1db9ecSBarry Smith rtmp = (MatScalar*)PetscMalloc(16*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 176083559355SBarry Smith 176183559355SBarry Smith for (i=0; i<n; i++) { 176283559355SBarry Smith nz = bi[i+1] - bi[i]; 176383559355SBarry Smith ajtmp = bj + bi[i]; 176483559355SBarry Smith for (j=0; j<nz; j++) { 176583559355SBarry Smith x = rtmp+16*ajtmp[j]; 176683559355SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 176783559355SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 176883559355SBarry Smith } 176983559355SBarry Smith /* load in initial (unfactored row) */ 177083559355SBarry Smith nz = ai[i+1] - ai[i]; 177183559355SBarry Smith ajtmpold = aj + ai[i]; 177283559355SBarry Smith v = aa + 16*ai[i]; 177383559355SBarry Smith for (j=0; j<nz; j++) { 177483559355SBarry Smith x = rtmp+16*ajtmpold[j]; 177583559355SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 177683559355SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 177783559355SBarry Smith x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 177883559355SBarry Smith x[14] = v[14]; x[15] = v[15]; 177983559355SBarry Smith v += 16; 178083559355SBarry Smith } 178183559355SBarry Smith row = *ajtmp++; 178283559355SBarry Smith while (row < i) { 178383559355SBarry Smith pc = rtmp + 16*row; 178483559355SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 178583559355SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 178683559355SBarry Smith p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 178783559355SBarry Smith p15 = pc[14]; p16 = pc[15]; 178883559355SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 178983559355SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 179083559355SBarry Smith p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 179183559355SBarry Smith || p16 != 0.0) { 179283559355SBarry Smith pv = ba + 16*diag_offset[row]; 179383559355SBarry Smith pj = bj + diag_offset[row] + 1; 179483559355SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 179583559355SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 179683559355SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 179783559355SBarry Smith x15 = pv[14]; x16 = pv[15]; 179883559355SBarry Smith pc[0] = m1 = p1*x1 + p5*x2 + p9*x3 + p13*x4; 179983559355SBarry Smith pc[1] = m2 = p2*x1 + p6*x2 + p10*x3 + p14*x4; 180083559355SBarry Smith pc[2] = m3 = p3*x1 + p7*x2 + p11*x3 + p15*x4; 180183559355SBarry Smith pc[3] = m4 = p4*x1 + p8*x2 + p12*x3 + p16*x4; 180283559355SBarry Smith 180383559355SBarry Smith pc[4] = m5 = p1*x5 + p5*x6 + p9*x7 + p13*x8; 180483559355SBarry Smith pc[5] = m6 = p2*x5 + p6*x6 + p10*x7 + p14*x8; 180583559355SBarry Smith pc[6] = m7 = p3*x5 + p7*x6 + p11*x7 + p15*x8; 180683559355SBarry Smith pc[7] = m8 = p4*x5 + p8*x6 + p12*x7 + p16*x8; 180783559355SBarry Smith 180883559355SBarry Smith pc[8] = m9 = p1*x9 + p5*x10 + p9*x11 + p13*x12; 180983559355SBarry Smith pc[9] = m10 = p2*x9 + p6*x10 + p10*x11 + p14*x12; 181083559355SBarry Smith pc[10] = m11 = p3*x9 + p7*x10 + p11*x11 + p15*x12; 181183559355SBarry Smith pc[11] = m12 = p4*x9 + p8*x10 + p12*x11 + p16*x12; 181283559355SBarry Smith 181383559355SBarry Smith pc[12] = m13 = p1*x13 + p5*x14 + p9*x15 + p13*x16; 181483559355SBarry Smith pc[13] = m14 = p2*x13 + p6*x14 + p10*x15 + p14*x16; 181583559355SBarry Smith pc[14] = m15 = p3*x13 + p7*x14 + p11*x15 + p15*x16; 181683559355SBarry Smith pc[15] = m16 = p4*x13 + p8*x14 + p12*x15 + p16*x16; 181783559355SBarry Smith 181883559355SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 181983559355SBarry Smith pv += 16; 182083559355SBarry Smith for (j=0; j<nz; j++) { 182183559355SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 182283559355SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 182383559355SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 182483559355SBarry Smith x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 182583559355SBarry Smith x = rtmp + 16*pj[j]; 182683559355SBarry Smith x[0] -= m1*x1 + m5*x2 + m9*x3 + m13*x4; 182783559355SBarry Smith x[1] -= m2*x1 + m6*x2 + m10*x3 + m14*x4; 182883559355SBarry Smith x[2] -= m3*x1 + m7*x2 + m11*x3 + m15*x4; 182983559355SBarry Smith x[3] -= m4*x1 + m8*x2 + m12*x3 + m16*x4; 183083559355SBarry Smith 183183559355SBarry Smith x[4] -= m1*x5 + m5*x6 + m9*x7 + m13*x8; 183283559355SBarry Smith x[5] -= m2*x5 + m6*x6 + m10*x7 + m14*x8; 183383559355SBarry Smith x[6] -= m3*x5 + m7*x6 + m11*x7 + m15*x8; 183483559355SBarry Smith x[7] -= m4*x5 + m8*x6 + m12*x7 + m16*x8; 183583559355SBarry Smith 183683559355SBarry Smith x[8] -= m1*x9 + m5*x10 + m9*x11 + m13*x12; 183783559355SBarry Smith x[9] -= m2*x9 + m6*x10 + m10*x11 + m14*x12; 183883559355SBarry Smith x[10] -= m3*x9 + m7*x10 + m11*x11 + m15*x12; 183983559355SBarry Smith x[11] -= m4*x9 + m8*x10 + m12*x11 + m16*x12; 184083559355SBarry Smith 184183559355SBarry Smith x[12] -= m1*x13 + m5*x14 + m9*x15 + m13*x16; 184283559355SBarry Smith x[13] -= m2*x13 + m6*x14 + m10*x15 + m14*x16; 184383559355SBarry Smith x[14] -= m3*x13 + m7*x14 + m11*x15 + m15*x16; 184483559355SBarry Smith x[15] -= m4*x13 + m8*x14 + m12*x15 + m16*x16; 184583559355SBarry Smith 184683559355SBarry Smith pv += 16; 184783559355SBarry Smith } 184883559355SBarry Smith PLogFlops(128*nz+112); 184983559355SBarry Smith } 185083559355SBarry Smith row = *ajtmp++; 185183559355SBarry Smith } 185283559355SBarry Smith /* finished row so stick it into b->a */ 185383559355SBarry Smith pv = ba + 16*bi[i]; 185483559355SBarry Smith pj = bj + bi[i]; 185583559355SBarry Smith nz = bi[i+1] - bi[i]; 185683559355SBarry Smith for (j=0; j<nz; j++) { 185783559355SBarry Smith x = rtmp+16*pj[j]; 185883559355SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 185983559355SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 186083559355SBarry Smith pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 186183559355SBarry Smith pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 186283559355SBarry Smith pv += 16; 186383559355SBarry Smith } 186483559355SBarry Smith /* invert diagonal block */ 186583559355SBarry Smith w = ba + 16*diag_offset[i]; 186683559355SBarry Smith ierr = Kernel_A_gets_inverse_A_4(w);CHKERRQ(ierr); 186783559355SBarry Smith } 186883559355SBarry Smith 1869606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 187083559355SBarry Smith C->factor = FACTOR_LU; 187183559355SBarry Smith C->assembled = PETSC_TRUE; 187283559355SBarry Smith PLogFlops(1.3333*64*b->mbs); /* from inverting diagonal blocks */ 18733a40ed3dSBarry Smith PetscFunctionReturn(0); 187483559355SBarry Smith } 187583559355SBarry Smith 1876667159a5SBarry Smith 18776d84be18SBarry Smith /* ------------------------------------------------------------*/ 18786d84be18SBarry Smith /* 18796d84be18SBarry Smith Version for when blocks are 3 by 3 18806d84be18SBarry Smith */ 18815615d1e5SSatish Balay #undef __FUNC__ 18825615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_3" 18836d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_3(Mat A,Mat *B) 18846d84be18SBarry Smith { 18856d84be18SBarry Smith Mat C = *B; 18866d84be18SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 18877cdf2dbbSSatish Balay IS isrow = b->row,isicol = b->icol; 18884078e994SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1889a3c32e02SBarry Smith int *ajtmpold,*ajtmp,nz,row,*ai=a->i,*aj=a->j; 1890329f5518SBarry Smith int *diag_offset = b->diag,idx,*pj; 1891329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 18923f1db9ecSBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 18933f1db9ecSBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9; 18943f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 18956d84be18SBarry Smith 18963a40ed3dSBarry Smith PetscFunctionBegin; 18976d84be18SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 18986d84be18SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 18993f1db9ecSBarry Smith rtmp = (MatScalar*)PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 19006d84be18SBarry Smith 19016d84be18SBarry Smith for (i=0; i<n; i++) { 19024078e994SBarry Smith nz = bi[i+1] - bi[i]; 19034078e994SBarry Smith ajtmp = bj + bi[i]; 19046d84be18SBarry Smith for (j=0; j<nz; j++) { 19056d84be18SBarry Smith x = rtmp + 9*ajtmp[j]; 19064cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0; 19076d84be18SBarry Smith } 19086d84be18SBarry Smith /* load in initial (unfactored row) */ 19096d84be18SBarry Smith idx = r[i]; 19104078e994SBarry Smith nz = ai[idx+1] - ai[idx]; 19114078e994SBarry Smith ajtmpold = aj + ai[idx]; 19124078e994SBarry Smith v = aa + 9*ai[idx]; 19136d84be18SBarry Smith for (j=0; j<nz; j++) { 19146d84be18SBarry Smith x = rtmp + 9*ic[ajtmpold[j]]; 19156d84be18SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 19166d84be18SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 19176d84be18SBarry Smith v += 9; 19186d84be18SBarry Smith } 19196d84be18SBarry Smith row = *ajtmp++; 19206d84be18SBarry Smith while (row < i) { 19216d84be18SBarry Smith pc = rtmp + 9*row; 19226d84be18SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 19236d84be18SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 19246d84be18SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 19256d84be18SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) { 19264078e994SBarry Smith pv = ba + 9*diag_offset[row]; 19274078e994SBarry Smith pj = bj + diag_offset[row] + 1; 19286d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 19296d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 19306d84be18SBarry Smith pc[0] = m1 = p1*x1 + p4*x2 + p7*x3; 19316d84be18SBarry Smith pc[1] = m2 = p2*x1 + p5*x2 + p8*x3; 19326d84be18SBarry Smith pc[2] = m3 = p3*x1 + p6*x2 + p9*x3; 19336d84be18SBarry Smith 19346d84be18SBarry Smith pc[3] = m4 = p1*x4 + p4*x5 + p7*x6; 19356d84be18SBarry Smith pc[4] = m5 = p2*x4 + p5*x5 + p8*x6; 19366d84be18SBarry Smith pc[5] = m6 = p3*x4 + p6*x5 + p9*x6; 19376d84be18SBarry Smith 19386d84be18SBarry Smith pc[6] = m7 = p1*x7 + p4*x8 + p7*x9; 19396d84be18SBarry Smith pc[7] = m8 = p2*x7 + p5*x8 + p8*x9; 19406d84be18SBarry Smith pc[8] = m9 = p3*x7 + p6*x8 + p9*x9; 19414078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 19426d84be18SBarry Smith pv += 9; 19436d84be18SBarry Smith for (j=0; j<nz; j++) { 19446d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 19456d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 19466d84be18SBarry Smith x = rtmp + 9*pj[j]; 19476d84be18SBarry Smith x[0] -= m1*x1 + m4*x2 + m7*x3; 19486d84be18SBarry Smith x[1] -= m2*x1 + m5*x2 + m8*x3; 19496d84be18SBarry Smith x[2] -= m3*x1 + m6*x2 + m9*x3; 19506d84be18SBarry Smith 19516d84be18SBarry Smith x[3] -= m1*x4 + m4*x5 + m7*x6; 19526d84be18SBarry Smith x[4] -= m2*x4 + m5*x5 + m8*x6; 19536d84be18SBarry Smith x[5] -= m3*x4 + m6*x5 + m9*x6; 19546d84be18SBarry Smith 19556d84be18SBarry Smith x[6] -= m1*x7 + m4*x8 + m7*x9; 19566d84be18SBarry Smith x[7] -= m2*x7 + m5*x8 + m8*x9; 19576d84be18SBarry Smith x[8] -= m3*x7 + m6*x8 + m9*x9; 19586d84be18SBarry Smith pv += 9; 19596d84be18SBarry Smith } 19606d84be18SBarry Smith PLogFlops(54*nz+36); 19616d84be18SBarry Smith } 19626d84be18SBarry Smith row = *ajtmp++; 19636d84be18SBarry Smith } 19646d84be18SBarry Smith /* finished row so stick it into b->a */ 19654078e994SBarry Smith pv = ba + 9*bi[i]; 19664078e994SBarry Smith pj = bj + bi[i]; 19674078e994SBarry Smith nz = bi[i+1] - bi[i]; 19686d84be18SBarry Smith for (j=0; j<nz; j++) { 19696d84be18SBarry Smith x = rtmp + 9*pj[j]; 19706d84be18SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 19716d84be18SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 19726d84be18SBarry Smith pv += 9; 19736d84be18SBarry Smith } 19746d84be18SBarry Smith /* invert diagonal block */ 19754078e994SBarry Smith w = ba + 9*diag_offset[i]; 19764078e994SBarry Smith ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr); 19776d84be18SBarry Smith } 19786d84be18SBarry Smith 1979606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 19806d84be18SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 19816d84be18SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 19826d84be18SBarry Smith C->factor = FACTOR_LU; 19836d84be18SBarry Smith C->assembled = PETSC_TRUE; 19846d84be18SBarry Smith PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */ 19853a40ed3dSBarry Smith PetscFunctionReturn(0); 19866d84be18SBarry Smith } 19874cd38560SBarry Smith /* 19884cd38560SBarry Smith Version for when blocks are 3 by 3 Using natural ordering 19894cd38560SBarry Smith */ 19904cd38560SBarry Smith #undef __FUNC__ 19914cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering" 19924cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering(Mat A,Mat *B) 19934cd38560SBarry Smith { 19944cd38560SBarry Smith Mat C = *B; 19954cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 19964cd38560SBarry Smith int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 19974cd38560SBarry Smith int *ajtmpold,*ajtmp,nz,row; 1998329f5518SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 1999329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 20004cd38560SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 20014cd38560SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9; 20024cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 20034cd38560SBarry Smith 20044cd38560SBarry Smith PetscFunctionBegin; 20054cd38560SBarry Smith rtmp = (MatScalar*)PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 20064cd38560SBarry Smith 20074cd38560SBarry Smith for (i=0; i<n; i++) { 20084cd38560SBarry Smith nz = bi[i+1] - bi[i]; 20094cd38560SBarry Smith ajtmp = bj + bi[i]; 20104cd38560SBarry Smith for (j=0; j<nz; j++) { 20114cd38560SBarry Smith x = rtmp+9*ajtmp[j]; 20124cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0; 20134cd38560SBarry Smith } 20144cd38560SBarry Smith /* load in initial (unfactored row) */ 20154cd38560SBarry Smith nz = ai[i+1] - ai[i]; 20164cd38560SBarry Smith ajtmpold = aj + ai[i]; 20174cd38560SBarry Smith v = aa + 9*ai[i]; 20184cd38560SBarry Smith for (j=0; j<nz; j++) { 20194cd38560SBarry Smith x = rtmp+9*ajtmpold[j]; 20204cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 20214cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 20224cd38560SBarry Smith v += 9; 20234cd38560SBarry Smith } 20244cd38560SBarry Smith row = *ajtmp++; 20254cd38560SBarry Smith while (row < i) { 20264cd38560SBarry Smith pc = rtmp + 9*row; 20274cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 20284cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 20294cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 20304cd38560SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) { 20314cd38560SBarry Smith pv = ba + 9*diag_offset[row]; 20324cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 20334cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 20344cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 20354cd38560SBarry Smith pc[0] = m1 = p1*x1 + p4*x2 + p7*x3; 20364cd38560SBarry Smith pc[1] = m2 = p2*x1 + p5*x2 + p8*x3; 20374cd38560SBarry Smith pc[2] = m3 = p3*x1 + p6*x2 + p9*x3; 20384cd38560SBarry Smith 20394cd38560SBarry Smith pc[3] = m4 = p1*x4 + p4*x5 + p7*x6; 20404cd38560SBarry Smith pc[4] = m5 = p2*x4 + p5*x5 + p8*x6; 20414cd38560SBarry Smith pc[5] = m6 = p3*x4 + p6*x5 + p9*x6; 20424cd38560SBarry Smith 20434cd38560SBarry Smith pc[6] = m7 = p1*x7 + p4*x8 + p7*x9; 20444cd38560SBarry Smith pc[7] = m8 = p2*x7 + p5*x8 + p8*x9; 20454cd38560SBarry Smith pc[8] = m9 = p3*x7 + p6*x8 + p9*x9; 20464cd38560SBarry Smith 20474cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 20484cd38560SBarry Smith pv += 9; 20494cd38560SBarry Smith for (j=0; j<nz; j++) { 20504cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 20514cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 20524cd38560SBarry Smith x = rtmp + 9*pj[j]; 20534cd38560SBarry Smith x[0] -= m1*x1 + m4*x2 + m7*x3; 20544cd38560SBarry Smith x[1] -= m2*x1 + m5*x2 + m8*x3; 20554cd38560SBarry Smith x[2] -= m3*x1 + m6*x2 + m9*x3; 20564cd38560SBarry Smith 20574cd38560SBarry Smith x[3] -= m1*x4 + m4*x5 + m7*x6; 20584cd38560SBarry Smith x[4] -= m2*x4 + m5*x5 + m8*x6; 20594cd38560SBarry Smith x[5] -= m3*x4 + m6*x5 + m9*x6; 20604cd38560SBarry Smith 20614cd38560SBarry Smith x[6] -= m1*x7 + m4*x8 + m7*x9; 20624cd38560SBarry Smith x[7] -= m2*x7 + m5*x8 + m8*x9; 20634cd38560SBarry Smith x[8] -= m3*x7 + m6*x8 + m9*x9; 20644cd38560SBarry Smith pv += 9; 20654cd38560SBarry Smith } 20664cd38560SBarry Smith PLogFlops(54*nz+36); 20674cd38560SBarry Smith } 20684cd38560SBarry Smith row = *ajtmp++; 20694cd38560SBarry Smith } 20704cd38560SBarry Smith /* finished row so stick it into b->a */ 20714cd38560SBarry Smith pv = ba + 9*bi[i]; 20724cd38560SBarry Smith pj = bj + bi[i]; 20734cd38560SBarry Smith nz = bi[i+1] - bi[i]; 20744cd38560SBarry Smith for (j=0; j<nz; j++) { 20754cd38560SBarry Smith x = rtmp+9*pj[j]; 20764cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 20774cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 20784cd38560SBarry Smith pv += 9; 20794cd38560SBarry Smith } 20804cd38560SBarry Smith /* invert diagonal block */ 20814cd38560SBarry Smith w = ba + 9*diag_offset[i]; 20824cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr); 20834cd38560SBarry Smith } 20844cd38560SBarry Smith 2085606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 20864cd38560SBarry Smith C->factor = FACTOR_LU; 20874cd38560SBarry Smith C->assembled = PETSC_TRUE; 20884cd38560SBarry Smith PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */ 20894cd38560SBarry Smith PetscFunctionReturn(0); 20904cd38560SBarry Smith } 20916d84be18SBarry Smith 20926d84be18SBarry Smith /* ------------------------------------------------------------*/ 20936d84be18SBarry Smith /* 20944eeb42bcSBarry Smith Version for when blocks are 2 by 2 20954eeb42bcSBarry Smith */ 20965615d1e5SSatish Balay #undef __FUNC__ 20975615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_2" 20984eeb42bcSBarry Smith int MatLUFactorNumeric_SeqBAIJ_2(Mat A,Mat *B) 20994eeb42bcSBarry Smith { 21004eeb42bcSBarry Smith Mat C = *B; 21014eeb42bcSBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 21027cdf2dbbSSatish Balay IS isrow = b->row,isicol = b->icol; 21034078e994SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 21042515f8d2SSatish Balay int *ajtmpold,*ajtmp,nz,row; 2105329f5518SBarry Smith int *diag_offset=b->diag,idx,*ai=a->i,*aj=a->j,*pj; 2106329f5518SBarry Smith MatScalar *pv,*v,*rtmp,m1,m2,m3,m4,*pc,*w,*x,x1,x2,x3,x4; 21072515f8d2SSatish Balay MatScalar p1,p2,p3,p4; 21083f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 21094eeb42bcSBarry Smith 21103a40ed3dSBarry Smith PetscFunctionBegin; 21114eeb42bcSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 21124eeb42bcSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 21133f1db9ecSBarry Smith rtmp = (MatScalar*)PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 21144eeb42bcSBarry Smith 21154eeb42bcSBarry Smith for (i=0; i<n; i++) { 21164078e994SBarry Smith nz = bi[i+1] - bi[i]; 21174078e994SBarry Smith ajtmp = bj + bi[i]; 21184eeb42bcSBarry Smith for (j=0; j<nz; j++) { 21194eeb42bcSBarry Smith x = rtmp+4*ajtmp[j]; x[0] = x[1] = x[2] = x[3] = 0.0; 21204eeb42bcSBarry Smith } 21214eeb42bcSBarry Smith /* load in initial (unfactored row) */ 21224eeb42bcSBarry Smith idx = r[i]; 21234078e994SBarry Smith nz = ai[idx+1] - ai[idx]; 21244078e994SBarry Smith ajtmpold = aj + ai[idx]; 21254078e994SBarry Smith v = aa + 4*ai[idx]; 21264eeb42bcSBarry Smith for (j=0; j<nz; j++) { 21274eeb42bcSBarry Smith x = rtmp+4*ic[ajtmpold[j]]; 21284eeb42bcSBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 21294eeb42bcSBarry Smith v += 4; 21304eeb42bcSBarry Smith } 21314eeb42bcSBarry Smith row = *ajtmp++; 21324eeb42bcSBarry Smith while (row < i) { 21334eeb42bcSBarry Smith pc = rtmp + 4*row; 21344eeb42bcSBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 213588685aaeSLois Curfman McInnes if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) { 21364078e994SBarry Smith pv = ba + 4*diag_offset[row]; 21374078e994SBarry Smith pj = bj + diag_offset[row] + 1; 21384eeb42bcSBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 21394eeb42bcSBarry Smith pc[0] = m1 = p1*x1 + p3*x2; 21404eeb42bcSBarry Smith pc[1] = m2 = p2*x1 + p4*x2; 21414eeb42bcSBarry Smith pc[2] = m3 = p1*x3 + p3*x4; 21424eeb42bcSBarry Smith pc[3] = m4 = p2*x3 + p4*x4; 21434078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 21444eeb42bcSBarry Smith pv += 4; 21454eeb42bcSBarry Smith for (j=0; j<nz; j++) { 21464eeb42bcSBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 21474eeb42bcSBarry Smith x = rtmp + 4*pj[j]; 21484eeb42bcSBarry Smith x[0] -= m1*x1 + m3*x2; 21494eeb42bcSBarry Smith x[1] -= m2*x1 + m4*x2; 21504eeb42bcSBarry Smith x[2] -= m1*x3 + m3*x4; 21514eeb42bcSBarry Smith x[3] -= m2*x3 + m4*x4; 21524eeb42bcSBarry Smith pv += 4; 21534eeb42bcSBarry Smith } 21544eeb42bcSBarry Smith PLogFlops(16*nz+12); 21554eeb42bcSBarry Smith } 21564eeb42bcSBarry Smith row = *ajtmp++; 21574eeb42bcSBarry Smith } 21584eeb42bcSBarry Smith /* finished row so stick it into b->a */ 21594078e994SBarry Smith pv = ba + 4*bi[i]; 21604078e994SBarry Smith pj = bj + bi[i]; 21614078e994SBarry Smith nz = bi[i+1] - bi[i]; 21624eeb42bcSBarry Smith for (j=0; j<nz; j++) { 21634eeb42bcSBarry Smith x = rtmp+4*pj[j]; 21644eeb42bcSBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 21654eeb42bcSBarry Smith pv += 4; 21664eeb42bcSBarry Smith } 21674eeb42bcSBarry Smith /* invert diagonal block */ 21684078e994SBarry Smith w = ba + 4*diag_offset[i]; 21694cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr); 21704cd38560SBarry Smith /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/ 21714eeb42bcSBarry Smith } 21724eeb42bcSBarry Smith 2173606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 21744eeb42bcSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 21754eeb42bcSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 21764eeb42bcSBarry Smith C->factor = FACTOR_LU; 21774eeb42bcSBarry Smith C->assembled = PETSC_TRUE; 21784eeb42bcSBarry Smith PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */ 21793a40ed3dSBarry Smith PetscFunctionReturn(0); 21804eeb42bcSBarry Smith } 21814cd38560SBarry Smith /* 21824cd38560SBarry Smith Version for when blocks are 2 by 2 Using natural ordering 21834cd38560SBarry Smith */ 21844cd38560SBarry Smith #undef __FUNC__ 21854cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering" 21864cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering(Mat A,Mat *B) 21874cd38560SBarry Smith { 21884cd38560SBarry Smith Mat C = *B; 21894cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 21904cd38560SBarry Smith int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 21912515f8d2SSatish Balay int *ajtmpold,*ajtmp,nz,row; 2192329f5518SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 2193329f5518SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 21942515f8d2SSatish Balay MatScalar p1,p2,p3,p4,m1,m2,m3,m4,x1,x2,x3,x4; 21954cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 21964cd38560SBarry Smith 21974cd38560SBarry Smith PetscFunctionBegin; 21984cd38560SBarry Smith rtmp = (MatScalar*)PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 21994cd38560SBarry Smith 22004cd38560SBarry Smith for (i=0; i<n; i++) { 22014cd38560SBarry Smith nz = bi[i+1] - bi[i]; 22024cd38560SBarry Smith ajtmp = bj + bi[i]; 22034cd38560SBarry Smith for (j=0; j<nz; j++) { 22044cd38560SBarry Smith x = rtmp+4*ajtmp[j]; 22054cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = 0.0; 22064cd38560SBarry Smith } 22074cd38560SBarry Smith /* load in initial (unfactored row) */ 22084cd38560SBarry Smith nz = ai[i+1] - ai[i]; 22094cd38560SBarry Smith ajtmpold = aj + ai[i]; 22104cd38560SBarry Smith v = aa + 4*ai[i]; 22114cd38560SBarry Smith for (j=0; j<nz; j++) { 22124cd38560SBarry Smith x = rtmp+4*ajtmpold[j]; 22134cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 22144cd38560SBarry Smith v += 4; 22154cd38560SBarry Smith } 22164cd38560SBarry Smith row = *ajtmp++; 22174cd38560SBarry Smith while (row < i) { 22184cd38560SBarry Smith pc = rtmp + 4*row; 22194cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 22204cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) { 22214cd38560SBarry Smith pv = ba + 4*diag_offset[row]; 22224cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 22234cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 22244cd38560SBarry Smith pc[0] = m1 = p1*x1 + p3*x2; 22254cd38560SBarry Smith pc[1] = m2 = p2*x1 + p4*x2; 22264cd38560SBarry Smith pc[2] = m3 = p1*x3 + p3*x4; 22274cd38560SBarry Smith pc[3] = m4 = p2*x3 + p4*x4; 22284cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 22294cd38560SBarry Smith pv += 4; 22304cd38560SBarry Smith for (j=0; j<nz; j++) { 22314cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 22324cd38560SBarry Smith x = rtmp + 4*pj[j]; 22334cd38560SBarry Smith x[0] -= m1*x1 + m3*x2; 22344cd38560SBarry Smith x[1] -= m2*x1 + m4*x2; 22354cd38560SBarry Smith x[2] -= m1*x3 + m3*x4; 22364cd38560SBarry Smith x[3] -= m2*x3 + m4*x4; 22374cd38560SBarry Smith pv += 4; 22384cd38560SBarry Smith } 22394cd38560SBarry Smith PLogFlops(16*nz+12); 22404cd38560SBarry Smith } 22414cd38560SBarry Smith row = *ajtmp++; 22424cd38560SBarry Smith } 22434cd38560SBarry Smith /* finished row so stick it into b->a */ 22444cd38560SBarry Smith pv = ba + 4*bi[i]; 22454cd38560SBarry Smith pj = bj + bi[i]; 22464cd38560SBarry Smith nz = bi[i+1] - bi[i]; 22474cd38560SBarry Smith for (j=0; j<nz; j++) { 22484cd38560SBarry Smith x = rtmp+4*pj[j]; 22494cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 22504cd38560SBarry Smith pv += 4; 22514cd38560SBarry Smith } 22524cd38560SBarry Smith /* invert diagonal block */ 22534cd38560SBarry Smith w = ba + 4*diag_offset[i]; 22544cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr); 22554cd38560SBarry Smith /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/ 22564cd38560SBarry Smith } 22574cd38560SBarry Smith 2258606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 22594cd38560SBarry Smith C->factor = FACTOR_LU; 22604cd38560SBarry Smith C->assembled = PETSC_TRUE; 22614cd38560SBarry Smith PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */ 22624cd38560SBarry Smith PetscFunctionReturn(0); 22634cd38560SBarry Smith } 22647fc0212eSBarry Smith 22657fc0212eSBarry Smith /* ----------------------------------------------------------- */ 22667fc0212eSBarry Smith /* 22677fc0212eSBarry Smith Version for when blocks are 1 by 1. 22687fc0212eSBarry Smith */ 22695615d1e5SSatish Balay #undef __FUNC__ 22705615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_1" 22717fc0212eSBarry Smith int MatLUFactorNumeric_SeqBAIJ_1(Mat A,Mat *B) 22727fc0212eSBarry Smith { 22737fc0212eSBarry Smith Mat C = *B; 22747fc0212eSBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 22757cdf2dbbSSatish Balay IS isrow = b->row,isicol = b->icol; 22764078e994SBarry Smith int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 22774078e994SBarry Smith int *ajtmpold,*ajtmp,nz,row,*ai = a->i,*aj = a->j; 2278329f5518SBarry Smith int *diag_offset = b->diag,diag,*pj; 2279329f5518SBarry Smith MatScalar *pv,*v,*rtmp,multiplier,*pc; 22803f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 22817fc0212eSBarry Smith 22823a40ed3dSBarry Smith PetscFunctionBegin; 22837fc0212eSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 22847fc0212eSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 22853f1db9ecSBarry Smith rtmp = (MatScalar*)PetscMalloc((n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 22867fc0212eSBarry Smith 22877fc0212eSBarry Smith for (i=0; i<n; i++) { 22884078e994SBarry Smith nz = bi[i+1] - bi[i]; 22894078e994SBarry Smith ajtmp = bj + bi[i]; 22907fc0212eSBarry Smith for (j=0; j<nz; j++) rtmp[ajtmp[j]] = 0.0; 22917fc0212eSBarry Smith 22927fc0212eSBarry Smith /* load in initial (unfactored row) */ 22934078e994SBarry Smith nz = ai[r[i]+1] - ai[r[i]]; 22944078e994SBarry Smith ajtmpold = aj + ai[r[i]]; 22954078e994SBarry Smith v = aa + ai[r[i]]; 22967fc0212eSBarry Smith for (j=0; j<nz; j++) rtmp[ic[ajtmpold[j]]] = v[j]; 22977fc0212eSBarry Smith 22987fc0212eSBarry Smith row = *ajtmp++; 22997fc0212eSBarry Smith while (row < i) { 23007fc0212eSBarry Smith pc = rtmp + row; 23017fc0212eSBarry Smith if (*pc != 0.0) { 23024078e994SBarry Smith pv = ba + diag_offset[row]; 23034078e994SBarry Smith pj = bj + diag_offset[row] + 1; 23047fc0212eSBarry Smith multiplier = *pc * *pv++; 23057fc0212eSBarry Smith *pc = multiplier; 23064078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 23077fc0212eSBarry Smith for (j=0; j<nz; j++) rtmp[pj[j]] -= multiplier * pv[j]; 23084eeb42bcSBarry Smith PLogFlops(1+2*nz); 23097fc0212eSBarry Smith } 23107fc0212eSBarry Smith row = *ajtmp++; 23117fc0212eSBarry Smith } 23127fc0212eSBarry Smith /* finished row so stick it into b->a */ 23134078e994SBarry Smith pv = ba + bi[i]; 23144078e994SBarry Smith pj = bj + bi[i]; 23154078e994SBarry Smith nz = bi[i+1] - bi[i]; 23167fc0212eSBarry Smith for (j=0; j<nz; j++) {pv[j] = rtmp[pj[j]];} 23174078e994SBarry Smith diag = diag_offset[i] - bi[i]; 23187fc0212eSBarry Smith /* check pivot entry for current row */ 23197fc0212eSBarry Smith if (pv[diag] == 0.0) { 2320e3372554SBarry Smith SETERRQ(PETSC_ERR_MAT_LU_ZRPVT,0,"Zero pivot"); 23217fc0212eSBarry Smith } 23227fc0212eSBarry Smith pv[diag] = 1.0/pv[diag]; 23237fc0212eSBarry Smith } 23247fc0212eSBarry Smith 2325606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 23267fc0212eSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 23277fc0212eSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 23287fc0212eSBarry Smith C->factor = FACTOR_LU; 23297fc0212eSBarry Smith C->assembled = PETSC_TRUE; 23307fc0212eSBarry Smith PLogFlops(b->n); 23313a40ed3dSBarry Smith PetscFunctionReturn(0); 23327fc0212eSBarry Smith } 23337fc0212eSBarry Smith 23345d517e7eSBarry Smith /* ----------------------------------------------------------- */ 23355615d1e5SSatish Balay #undef __FUNC__ 23365615d1e5SSatish Balay #define __FUNC__ "MatLUFactor_SeqBAIJ" 2337329f5518SBarry Smith int MatLUFactor_SeqBAIJ(Mat A,IS row,IS col,PetscReal f) 23385d517e7eSBarry Smith { 2339ec3a8b7bSBarry Smith Mat_SeqBAIJ *mat = (Mat_SeqBAIJ*)A->data; 2340329f5518SBarry Smith int ierr,refct; 23415d517e7eSBarry Smith Mat C; 2342f830108cSBarry Smith PetscOps *Abops; 234317642b18SBarry Smith MatOps Aops; 23445d517e7eSBarry Smith 23453a40ed3dSBarry Smith PetscFunctionBegin; 2346f2582111SSatish Balay ierr = MatLUFactorSymbolic(A,row,col,f,&C);CHKERRQ(ierr); 23477fc0212eSBarry Smith ierr = MatLUFactorNumeric(A,&C);CHKERRQ(ierr); 23485d517e7eSBarry Smith 23495d517e7eSBarry Smith /* free all the data structures from mat */ 2350606d414cSSatish Balay ierr = PetscFree(mat->a);CHKERRQ(ierr); 2351606d414cSSatish Balay if (!mat->singlemalloc) { 2352606d414cSSatish Balay ierr = PetscFree(mat->i);CHKERRQ(ierr); 2353606d414cSSatish Balay ierr = PetscFree(mat->j);CHKERRQ(ierr); 2354606d414cSSatish Balay } 2355606d414cSSatish Balay if (mat->diag) {ierr = PetscFree(mat->diag);CHKERRQ(ierr);} 2356606d414cSSatish Balay if (mat->ilen) {ierr = PetscFree(mat->ilen);CHKERRQ(ierr);} 2357606d414cSSatish Balay if (mat->imax) {ierr = PetscFree(mat->imax);CHKERRQ(ierr);} 2358606d414cSSatish Balay if (mat->solve_work) {ierr = PetscFree(mat->solve_work);CHKERRQ(ierr);} 2359606d414cSSatish Balay if (mat->mult_work) {ierr = PetscFree(mat->mult_work);CHKERRQ(ierr);} 2360e93ccc4dSBarry Smith if (mat->icol) {ierr = ISDestroy(mat->icol);CHKERRQ(ierr);} 2361606d414cSSatish Balay ierr = PetscFree(mat);CHKERRQ(ierr); 23625d517e7eSBarry Smith 236317642b18SBarry Smith ierr = MapDestroy(A->rmap);CHKERRQ(ierr); 236417642b18SBarry Smith ierr = MapDestroy(A->cmap);CHKERRQ(ierr); 236517642b18SBarry Smith 2366f830108cSBarry Smith /* 2367f830108cSBarry Smith This is horrible,horrible code. We need to keep the 2368f830108cSBarry Smith A pointers for the bops and ops but copy everything 2369f830108cSBarry Smith else from C. 2370f830108cSBarry Smith */ 2371f830108cSBarry Smith Abops = A->bops; 2372f830108cSBarry Smith Aops = A->ops; 2373329f5518SBarry Smith refct = A->refct; 2374549d3d68SSatish Balay ierr = PetscMemcpy(A,C,sizeof(struct _p_Mat));CHKERRQ(ierr); 2375451c4af8SSatish Balay mat = (Mat_SeqBAIJ*)A->data; 2376451c4af8SSatish Balay PLogObjectParent(A,mat->icol); 2377451c4af8SSatish Balay 2378f830108cSBarry Smith A->bops = Abops; 2379f830108cSBarry Smith A->ops = Aops; 238027a8da17SBarry Smith A->qlist = 0; 2381329f5518SBarry Smith A->refct = refct; 2382c38d4ed2SBarry Smith /* copy over the type_name and name */ 2383c38d4ed2SBarry Smith ierr = PetscStrallocpy(C->type_name,&A->type_name);CHKERRQ(ierr); 2384c38d4ed2SBarry Smith ierr = PetscStrallocpy(C->name,&A->name);CHKERRQ(ierr); 2385f830108cSBarry Smith 23865d517e7eSBarry Smith PetscHeaderDestroy(C); 23873a40ed3dSBarry Smith PetscFunctionReturn(0); 23885d517e7eSBarry Smith } 23894cd38560SBarry Smith 23904cd38560SBarry Smith 23914cd38560SBarry Smith 2392