1*c38d4ed2SBarry Smith /*$Id: baijfact.c,v 1.75 1999/11/05 14:45:32 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"); 285d517e7eSBarry Smith ierr = ISInvertPermutation(iscol,&isicol);CHKERRQ(ierr); 29f1af5d2fSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 30f1af5d2fSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 315d517e7eSBarry Smith 325d517e7eSBarry Smith /* get new row pointers */ 335d517e7eSBarry Smith ainew = (int *) PetscMalloc( (n+1)*sizeof(int) );CHKPTRQ(ainew); 34de6a44a3SBarry Smith ainew[0] = 0; 355d517e7eSBarry Smith /* don't know how many column pointers are needed so estimate */ 36de6a44a3SBarry Smith jmax = (int) (f*ai[n] + 1); 375d517e7eSBarry Smith ajnew = (int *) PetscMalloc( (jmax)*sizeof(int) );CHKPTRQ(ajnew); 385d517e7eSBarry Smith /* fill is a linked list of nonzeros in active row */ 395d517e7eSBarry Smith fill = (int *) PetscMalloc( (2*n+1)*sizeof(int));CHKPTRQ(fill); 405d517e7eSBarry Smith im = fill + n + 1; 415d517e7eSBarry Smith /* idnew is location of diagonal in factor */ 425d517e7eSBarry Smith idnew = (int *) PetscMalloc( (n+1)*sizeof(int));CHKPTRQ(idnew); 43de6a44a3SBarry Smith idnew[0] = 0; 445d517e7eSBarry Smith 455d517e7eSBarry Smith for ( i=0; i<n; i++ ) { 465d517e7eSBarry Smith /* first copy previous fill into linked list */ 475d517e7eSBarry Smith nnz = nz = ai[r[i]+1] - ai[r[i]]; 486b96ef82SSatish Balay if (!nz) SETERRQ(PETSC_ERR_MAT_LU_ZRPVT,1,"Empty row in matrix"); 49de6a44a3SBarry Smith ajtmp = aj + ai[r[i]]; 505d517e7eSBarry Smith fill[n] = n; 515d517e7eSBarry Smith while (nz--) { 525d517e7eSBarry Smith fm = n; 53de6a44a3SBarry Smith idx = ic[*ajtmp++]; 545d517e7eSBarry Smith do { 555d517e7eSBarry Smith m = fm; 565d517e7eSBarry Smith fm = fill[m]; 575d517e7eSBarry Smith } while (fm < idx); 585d517e7eSBarry Smith fill[m] = idx; 595d517e7eSBarry Smith fill[idx] = fm; 605d517e7eSBarry Smith } 615d517e7eSBarry Smith row = fill[n]; 625d517e7eSBarry Smith while ( row < i ) { 63de6a44a3SBarry Smith ajtmp = ajnew + idnew[row] + 1; 645d517e7eSBarry Smith nzbd = 1 + idnew[row] - ainew[row]; 655d517e7eSBarry Smith nz = im[row] - nzbd; 665d517e7eSBarry Smith fm = row; 675d517e7eSBarry Smith while (nz-- > 0) { 68de6a44a3SBarry Smith idx = *ajtmp++; 695d517e7eSBarry Smith nzbd++; 705d517e7eSBarry Smith if (idx == i) im[row] = nzbd; 715d517e7eSBarry Smith do { 725d517e7eSBarry Smith m = fm; 735d517e7eSBarry Smith fm = fill[m]; 745d517e7eSBarry Smith } while (fm < idx); 755d517e7eSBarry Smith if (fm != idx) { 765d517e7eSBarry Smith fill[m] = idx; 775d517e7eSBarry Smith fill[idx] = fm; 785d517e7eSBarry Smith fm = idx; 795d517e7eSBarry Smith nnz++; 805d517e7eSBarry Smith } 815d517e7eSBarry Smith } 825d517e7eSBarry Smith row = fill[row]; 835d517e7eSBarry Smith } 845d517e7eSBarry Smith /* copy new filled row into permanent storage */ 855d517e7eSBarry Smith ainew[i+1] = ainew[i] + nnz; 864078e994SBarry Smith if (ainew[i+1] > jmax) { 87ecf371e4SBarry Smith 88ecf371e4SBarry Smith /* estimate how much additional space we will need */ 89ecf371e4SBarry Smith /* use the strategy suggested by David Hysom <hysom@perch-t.icase.edu> */ 90ecf371e4SBarry Smith /* just double the memory each time */ 91ecf371e4SBarry Smith int maxadd = jmax; 92ecf371e4SBarry Smith /* maxadd = (int) ((f*(ai[n]+1)*(n-i+5))/n); */ 935d517e7eSBarry Smith if (maxadd < nnz) maxadd = (n-i)*(nnz+1); 945d517e7eSBarry Smith jmax += maxadd; 95ecf371e4SBarry Smith 96ecf371e4SBarry Smith /* allocate a longer ajnew */ 975d517e7eSBarry Smith ajtmp = (int *) PetscMalloc( jmax*sizeof(int) );CHKPTRQ(ajtmp); 98549d3d68SSatish Balay ierr = PetscMemcpy(ajtmp,ajnew,ainew[i]*sizeof(int));CHKERRQ(ierr); 99606d414cSSatish Balay ierr = PetscFree(ajnew);CHKERRQ(ierr); 1005d517e7eSBarry Smith ajnew = ajtmp; 1015d517e7eSBarry Smith realloc++; /* count how many times we realloc */ 1025d517e7eSBarry Smith } 103de6a44a3SBarry Smith ajtmp = ajnew + ainew[i]; 1045d517e7eSBarry Smith fm = fill[n]; 1055d517e7eSBarry Smith nzi = 0; 1065d517e7eSBarry Smith im[i] = nnz; 1075d517e7eSBarry Smith while (nnz--) { 1085d517e7eSBarry Smith if (fm < i) nzi++; 109de6a44a3SBarry Smith *ajtmp++ = fm; 1105d517e7eSBarry Smith fm = fill[fm]; 1115d517e7eSBarry Smith } 1125d517e7eSBarry Smith idnew[i] = ainew[i] + nzi; 1135d517e7eSBarry Smith } 1145d517e7eSBarry Smith 115fbe2de07SSatish Balay if (ai[n] != 0) { 116fbe2de07SSatish Balay double af = ((double)ainew[n])/((double)ai[n]); 117*c38d4ed2SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Reallocs %d Fill ratio:given %g needed %g\n",realloc,f,af); 118981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Run with -pc_lu_fill %g or use \n",af); 119981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:PCLUSetFill(pc,%g);\n",af); 120981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:for best performance.\n"); 12170794672SSatish Balay } else { 122981c4779SBarry Smith PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Empty matrix.\n"); 12370794672SSatish Balay } 12470794672SSatish Balay 1255d517e7eSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 1265d517e7eSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 1275d517e7eSBarry Smith 128606d414cSSatish Balay ierr = PetscFree(fill);CHKERRQ(ierr); 1295d517e7eSBarry Smith 1305d517e7eSBarry Smith /* put together the new matrix */ 131ec3a8b7bSBarry Smith ierr = MatCreateSeqBAIJ(A->comm,bs,bs*n,bs*n,0,PETSC_NULL,B);CHKERRQ(ierr); 1325d517e7eSBarry Smith PLogObjectParent(*B,isicol); 133ec3a8b7bSBarry Smith b = (Mat_SeqBAIJ *) (*B)->data; 134606d414cSSatish Balay ierr = PetscFree(b->imax);CHKERRQ(ierr); 1355d517e7eSBarry Smith b->singlemalloc = 0; 1365d517e7eSBarry Smith /* the next line frees the default space generated by the Create() */ 137606d414cSSatish Balay ierr = PetscFree(b->a);CHKERRQ(ierr); 138606d414cSSatish Balay ierr = PetscFree(b->ilen);CHKERRQ(ierr); 1393f1db9ecSBarry Smith b->a = (MatScalar *) PetscMalloc((ainew[n]+1)*sizeof(MatScalar)*bs2);CHKPTRQ(b->a); 1405d517e7eSBarry Smith b->j = ajnew; 1415d517e7eSBarry Smith b->i = ainew; 1425d517e7eSBarry Smith b->diag = idnew; 1435d517e7eSBarry Smith b->ilen = 0; 1445d517e7eSBarry Smith b->imax = 0; 1455d517e7eSBarry Smith b->row = isrow; 1465d517e7eSBarry Smith b->col = iscol; 147*c38d4ed2SBarry Smith ierr = PetscObjectReference((PetscObject)isrow);CHKERRQ(ierr); 148*c38d4ed2SBarry Smith ierr = PetscObjectReference((PetscObject)iscol);CHKERRQ(ierr); 149e51c0b9cSSatish Balay b->icol = isicol; 1503a40ed3dSBarry Smith b->solve_work = (Scalar *) PetscMalloc( (bs*n+bs)*sizeof(Scalar));CHKPTRQ(b->solve_work); 1515d517e7eSBarry Smith /* In b structure: Free imax, ilen, old a, old j. 1525d517e7eSBarry Smith Allocate idnew, solve_work, new a, new j */ 1533f1db9ecSBarry Smith PLogObjectMemory(*B,(ainew[n]-n)*(sizeof(int)+sizeof(MatScalar))); 154de6a44a3SBarry Smith b->maxnz = b->nz = ainew[n]; 1555d517e7eSBarry Smith 156e93ccc4dSBarry Smith (*B)->factor = FACTOR_LU; 157ae068f58SLois Curfman McInnes (*B)->info.factor_mallocs = realloc; 158ae068f58SLois Curfman McInnes (*B)->info.fill_ratio_given = f; 159e93ccc4dSBarry Smith if (ai[n] != 0) { 160e93ccc4dSBarry Smith (*B)->info.fill_ratio_needed = ((double)ainew[n])/((double)ai[n]); 161966b9fa7SBarry Smith } else { 162966b9fa7SBarry Smith (*B)->info.fill_ratio_needed = 0.0; 163966b9fa7SBarry Smith } 164966b9fa7SBarry Smith 165ae068f58SLois Curfman McInnes 1663a40ed3dSBarry Smith PetscFunctionReturn(0); 1675d517e7eSBarry Smith } 1685d517e7eSBarry Smith 169ec3a8b7bSBarry Smith /* ----------------------------------------------------------- */ 1705615d1e5SSatish Balay #undef __FUNC__ 1715615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_N" 1727fc0212eSBarry Smith int MatLUFactorNumeric_SeqBAIJ_N(Mat A,Mat *B) 1735d517e7eSBarry Smith { 1745d517e7eSBarry Smith Mat C = *B; 175ec3a8b7bSBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 17608b7f112SBarry Smith IS isrow = b->row, isicol = b->icol; 1774078e994SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 17848e9ddb2SSatish Balay int *ajtmpold, *ajtmp, nz, row, bslog,*ai=a->i,*aj=a->j,k,flg; 17948e9ddb2SSatish Balay int *diag_offset=b->diag,diag,bs=a->bs,bs2 = a->bs2,*v_pivots; 1805d517e7eSBarry Smith register int *pj; 1813f1db9ecSBarry Smith register MatScalar *pv,*v,*rtmp,*multiplier,*v_work,*pc,*w; 1823f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 1835d517e7eSBarry Smith 1843a40ed3dSBarry Smith PetscFunctionBegin; 1855d517e7eSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 1865d517e7eSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 1873f1db9ecSBarry Smith rtmp = (MatScalar *) PetscMalloc(bs2*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 188549d3d68SSatish Balay ierr = PetscMemzero(rtmp,bs2*(n+1)*sizeof(MatScalar));CHKERRQ(ierr); 189ec3a8b7bSBarry Smith /* generate work space needed by dense LU factorization */ 1903f1db9ecSBarry Smith v_work = (MatScalar *) PetscMalloc(bs*sizeof(int) + (bs+bs2)*sizeof(MatScalar));CHKPTRQ(v_work); 1916d84be18SBarry Smith multiplier = v_work + bs; 192de6a44a3SBarry Smith v_pivots = (int *) (multiplier + bs2); 193de6a44a3SBarry Smith 194de6a44a3SBarry Smith /* flops in while loop */ 1954eeb42bcSBarry Smith bslog = 2*bs*bs2; 1965d517e7eSBarry Smith 1975d517e7eSBarry Smith for ( i=0; i<n; i++ ) { 1984078e994SBarry Smith nz = bi[i+1] - bi[i]; 1994078e994SBarry Smith ajtmp = bj + bi[i]; 2004eeb42bcSBarry Smith for ( j=0; j<nz; j++ ) { 201549d3d68SSatish Balay ierr = PetscMemzero(rtmp+bs2*ajtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 2024eeb42bcSBarry Smith } 2035d517e7eSBarry Smith /* load in initial (unfactored row) */ 2044078e994SBarry Smith nz = ai[r[i]+1] - ai[r[i]]; 2054078e994SBarry Smith ajtmpold = aj + ai[r[i]]; 2064078e994SBarry Smith v = aa + bs2*ai[r[i]]; 2074eeb42bcSBarry Smith for ( j=0; j<nz; j++ ) { 208549d3d68SSatish Balay ierr = PetscMemcpy(rtmp+bs2*ic[ajtmpold[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 2094eeb42bcSBarry Smith } 210de6a44a3SBarry Smith row = *ajtmp++; 2115d517e7eSBarry Smith while (row < i) { 212de6a44a3SBarry Smith pc = rtmp + bs2*row; 213de6a44a3SBarry Smith /* if (*pc) { */ 214974088aaSSatish Balay for ( flg=0,k=0; k<bs2; k++ ) { if (pc[k]!=0.0) { flg =1; break; }} 21548e9ddb2SSatish Balay if (flg) { 2164078e994SBarry Smith pv = ba + bs2*diag_offset[row]; 2174078e994SBarry Smith pj = bj + diag_offset[row] + 1; 2184078e994SBarry Smith Kernel_A_gets_A_times_B(bs,pc,pv,multiplier); 2194078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 220ec3a8b7bSBarry Smith pv += bs2; 2214eeb42bcSBarry Smith for (j=0; j<nz; j++) { 2224078e994SBarry Smith Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); 2234eeb42bcSBarry Smith } 2244eeb42bcSBarry Smith PLogFlops(bslog*(nz+1)-bs); 22548e9ddb2SSatish Balay } 226de6a44a3SBarry Smith row = *ajtmp++; 2275d517e7eSBarry Smith } 2285d517e7eSBarry Smith /* finished row so stick it into b->a */ 2294078e994SBarry Smith pv = ba + bs2*bi[i]; 2304078e994SBarry Smith pj = bj + bi[i]; 2314078e994SBarry Smith nz = bi[i+1] - bi[i]; 2324eeb42bcSBarry Smith for ( j=0; j<nz; j++ ) { 233549d3d68SSatish Balay ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 2344eeb42bcSBarry Smith } 2354078e994SBarry Smith diag = diag_offset[i] - bi[i]; 236ec3a8b7bSBarry Smith /* invert diagonal block */ 2374eeb42bcSBarry Smith w = pv + bs2*diag; 2384078e994SBarry Smith Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work); 2395d517e7eSBarry Smith } 2405d517e7eSBarry Smith 241606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 242606d414cSSatish Balay ierr = PetscFree(v_work);CHKERRQ(ierr); 2435d517e7eSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 2445d517e7eSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 2455d517e7eSBarry Smith C->factor = FACTOR_LU; 2465d517e7eSBarry Smith C->assembled = PETSC_TRUE; 247de6a44a3SBarry Smith PLogFlops(1.3333*bs*bs2*b->mbs); /* from inverting diagonal blocks */ 2483a40ed3dSBarry Smith PetscFunctionReturn(0); 2495d517e7eSBarry Smith } 2504eeb42bcSBarry Smith /* ------------------------------------------------------------*/ 2514eeb42bcSBarry Smith /* 2524cd38560SBarry Smith Version for when blocks are 7 by 7 2534cd38560SBarry Smith */ 2544cd38560SBarry Smith #undef __FUNC__ 2554cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_7" 2564cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_7(Mat A,Mat *B) 2574cd38560SBarry Smith { 2584cd38560SBarry Smith Mat C = *B; 2594cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 2604cd38560SBarry Smith IS isrow = b->row, isicol = b->icol; 2614cd38560SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 2624cd38560SBarry Smith int *ajtmpold, *ajtmp, nz, row; 2634cd38560SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j; 2644cd38560SBarry Smith register int *pj; 2654cd38560SBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 2664cd38560SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 2674cd38560SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 2684cd38560SBarry Smith MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 2694cd38560SBarry Smith MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 2704cd38560SBarry Smith MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 2714cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 2724cd38560SBarry Smith MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 2734cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 2744cd38560SBarry Smith MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 2754cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 2764cd38560SBarry Smith MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 2774cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 2784cd38560SBarry Smith 2794cd38560SBarry Smith PetscFunctionBegin; 2804cd38560SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 2814cd38560SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 2824cd38560SBarry Smith rtmp = (MatScalar *) PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 2834cd38560SBarry Smith 2844cd38560SBarry Smith for ( i=0; i<n; i++ ) { 2854cd38560SBarry Smith nz = bi[i+1] - bi[i]; 2864cd38560SBarry Smith ajtmp = bj + bi[i]; 2874cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 2884cd38560SBarry Smith x = rtmp+49*ajtmp[j]; 2894cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 2904cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 2914cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 2924cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 2934cd38560SBarry Smith x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 29415091d37SBarry Smith x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ; 2954cd38560SBarry Smith } 2964cd38560SBarry Smith /* load in initial (unfactored row) */ 2974cd38560SBarry Smith idx = r[i]; 2984cd38560SBarry Smith nz = ai[idx+1] - ai[idx]; 2994cd38560SBarry Smith ajtmpold = aj + ai[idx]; 3004cd38560SBarry Smith v = aa + 49*ai[idx]; 3014cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 3024cd38560SBarry Smith x = rtmp+49*ic[ajtmpold[j]]; 3034cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 3044cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 3054cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 3064cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 3074cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 3084cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 3094cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 3104cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 3114cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 3124cd38560SBarry Smith x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 3134cd38560SBarry Smith x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 3144cd38560SBarry Smith x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 3154cd38560SBarry Smith x[48] = v[48]; 3164cd38560SBarry Smith v += 49; 3174cd38560SBarry Smith } 3184cd38560SBarry Smith row = *ajtmp++; 3194cd38560SBarry Smith while (row < i) { 3204cd38560SBarry Smith pc = rtmp + 49*row; 3214cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 3224cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 3234cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 3244cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 3254cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 3264cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 3274cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 3284cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 3294cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 3304cd38560SBarry Smith p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 3314cd38560SBarry Smith p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 3324cd38560SBarry Smith p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 3334cd38560SBarry Smith p49 = pc[48]; 3344cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 3354cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 3364cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 3374cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 3384cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 3394cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 3404cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 3414cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 3424cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 3434cd38560SBarry Smith p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 3444cd38560SBarry Smith p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 3454cd38560SBarry Smith p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 3464cd38560SBarry Smith p49 != 0.0) { 3474cd38560SBarry Smith pv = ba + 49*diag_offset[row]; 3484cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 3494cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 3504cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 3514cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 3524cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 3534cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 3544cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 3554cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 3564cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 3574cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 3584cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 3594cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 3604cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 3614cd38560SBarry Smith x49 = pv[48]; 3624cd38560SBarry Smith pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 3634cd38560SBarry Smith pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 3644cd38560SBarry Smith pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 3654cd38560SBarry Smith pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 3664cd38560SBarry Smith pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 3674cd38560SBarry Smith pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 3684cd38560SBarry Smith pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 3694cd38560SBarry Smith 3704cd38560SBarry Smith pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 3714cd38560SBarry Smith pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 3724cd38560SBarry Smith pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 3734cd38560SBarry Smith pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 3744cd38560SBarry Smith pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 3754cd38560SBarry Smith pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 3764cd38560SBarry Smith pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 3774cd38560SBarry Smith 3784cd38560SBarry Smith pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 3794cd38560SBarry Smith pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 3804cd38560SBarry Smith pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 3814cd38560SBarry Smith pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 3824cd38560SBarry Smith pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 3834cd38560SBarry Smith pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 3844cd38560SBarry Smith pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 3854cd38560SBarry Smith 3864cd38560SBarry Smith pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 3874cd38560SBarry Smith pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 3884cd38560SBarry Smith pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 3894cd38560SBarry Smith pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 3904cd38560SBarry Smith pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 3914cd38560SBarry Smith pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 3924cd38560SBarry Smith pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 3934cd38560SBarry Smith 3944cd38560SBarry Smith pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 3954cd38560SBarry Smith pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 3964cd38560SBarry Smith pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 3974cd38560SBarry Smith pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 3984cd38560SBarry Smith pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 3994cd38560SBarry Smith pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 4004cd38560SBarry Smith pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 4014cd38560SBarry Smith 4024cd38560SBarry Smith pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 4034cd38560SBarry Smith pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 4044cd38560SBarry Smith pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 4054cd38560SBarry Smith pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 4064cd38560SBarry Smith pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 4074cd38560SBarry Smith pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 4084cd38560SBarry Smith pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 4094cd38560SBarry Smith 4104cd38560SBarry Smith pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 4114cd38560SBarry Smith pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 4124cd38560SBarry Smith pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 4134cd38560SBarry Smith pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 4144cd38560SBarry Smith pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 4154cd38560SBarry Smith pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 4164cd38560SBarry Smith pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 4174cd38560SBarry Smith 4184cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 4194cd38560SBarry Smith pv += 49; 4204cd38560SBarry Smith for (j=0; j<nz; j++) { 4214cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 4224cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 4234cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 4244cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 4254cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 4264cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 4274cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 4284cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 4294cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 4304cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 4314cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 4324cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 4334cd38560SBarry Smith x49 = pv[48]; 4344cd38560SBarry Smith x = rtmp + 49*pj[j]; 4354cd38560SBarry Smith x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 4364cd38560SBarry Smith x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 4374cd38560SBarry Smith x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 4384cd38560SBarry Smith x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 4394cd38560SBarry Smith x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 4404cd38560SBarry Smith x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 4414cd38560SBarry Smith x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 4424cd38560SBarry Smith 4434cd38560SBarry Smith x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 4444cd38560SBarry Smith x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 4454cd38560SBarry Smith x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 4464cd38560SBarry Smith x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 4474cd38560SBarry Smith x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 4484cd38560SBarry Smith x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 4494cd38560SBarry Smith x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 4504cd38560SBarry Smith 4514cd38560SBarry Smith x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 4524cd38560SBarry Smith x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 4534cd38560SBarry Smith x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 4544cd38560SBarry Smith x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 4554cd38560SBarry Smith x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 4564cd38560SBarry Smith x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 4574cd38560SBarry Smith x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 4584cd38560SBarry Smith 4594cd38560SBarry Smith x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 4604cd38560SBarry Smith x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 4614cd38560SBarry Smith x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 4624cd38560SBarry Smith x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 4634cd38560SBarry Smith x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 4644cd38560SBarry Smith x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 4654cd38560SBarry Smith x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 4664cd38560SBarry Smith 4674cd38560SBarry Smith x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 4684cd38560SBarry Smith x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 4694cd38560SBarry Smith x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 4704cd38560SBarry Smith x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 4714cd38560SBarry Smith x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 4724cd38560SBarry Smith x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 4734cd38560SBarry Smith x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 4744cd38560SBarry Smith 4754cd38560SBarry Smith x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 4764cd38560SBarry Smith x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 4774cd38560SBarry Smith x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 4784cd38560SBarry Smith x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 4794cd38560SBarry Smith x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 4804cd38560SBarry Smith x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 4814cd38560SBarry Smith x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 4824cd38560SBarry Smith 4834cd38560SBarry Smith x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 4844cd38560SBarry Smith x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 4854cd38560SBarry Smith x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 4864cd38560SBarry Smith x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 4874cd38560SBarry Smith x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 4884cd38560SBarry Smith x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 4894cd38560SBarry Smith x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 4904cd38560SBarry Smith pv += 49; 4914cd38560SBarry Smith } 4924cd38560SBarry Smith PLogFlops(686*nz+637); 4934cd38560SBarry Smith } 4944cd38560SBarry Smith row = *ajtmp++; 4954cd38560SBarry Smith } 4964cd38560SBarry Smith /* finished row so stick it into b->a */ 4974cd38560SBarry Smith pv = ba + 49*bi[i]; 4984cd38560SBarry Smith pj = bj + bi[i]; 4994cd38560SBarry Smith nz = bi[i+1] - bi[i]; 5004cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 5014cd38560SBarry Smith x = rtmp+49*pj[j]; 5024cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 5034cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 5044cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 5054cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 5064cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 5074cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 5084cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 5094cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 5104cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 5114cd38560SBarry Smith pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 5124cd38560SBarry Smith pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 5134cd38560SBarry Smith pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 51415091d37SBarry Smith pv[48] = x[48]; 5154cd38560SBarry Smith pv += 49; 5164cd38560SBarry Smith } 5174cd38560SBarry Smith /* invert diagonal block */ 5184cd38560SBarry Smith w = ba + 49*diag_offset[i]; 5194cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr); 5204cd38560SBarry Smith } 5214cd38560SBarry Smith 522606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 5234cd38560SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 5244cd38560SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 5254cd38560SBarry Smith C->factor = FACTOR_LU; 5264cd38560SBarry Smith C->assembled = PETSC_TRUE; 5274cd38560SBarry Smith PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */ 5284cd38560SBarry Smith PetscFunctionReturn(0); 5294cd38560SBarry Smith } 53015091d37SBarry Smith 5314cd38560SBarry Smith /* 5324cd38560SBarry Smith Version for when blocks are 7 by 7 Using natural ordering 5334cd38560SBarry Smith */ 5344cd38560SBarry Smith #undef __FUNC__ 5354cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering" 5364cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat A,Mat *B) 5374cd38560SBarry Smith { 5384cd38560SBarry Smith Mat C = *B; 5394cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 5404cd38560SBarry Smith int ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 5414cd38560SBarry Smith int *ajtmpold, *ajtmp, nz, row; 5424cd38560SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j; 5434cd38560SBarry Smith register int *pj; 5444cd38560SBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 5454cd38560SBarry Smith MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 5464cd38560SBarry Smith MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 5474cd38560SBarry Smith MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 5484cd38560SBarry Smith MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 5494cd38560SBarry Smith MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 5504cd38560SBarry Smith MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 5514cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 5524cd38560SBarry Smith MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 5534cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 5544cd38560SBarry Smith MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 5554cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 5564cd38560SBarry Smith MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 5574cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 5584cd38560SBarry Smith 5594cd38560SBarry Smith PetscFunctionBegin; 5604cd38560SBarry Smith rtmp = (MatScalar *) PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 5614cd38560SBarry Smith for ( i=0; i<n; i++ ) { 5624cd38560SBarry Smith nz = bi[i+1] - bi[i]; 5634cd38560SBarry Smith ajtmp = bj + bi[i]; 5644cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 5654cd38560SBarry Smith x = rtmp+49*ajtmp[j]; 5664cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 5674cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 5684cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 5694cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 5704cd38560SBarry Smith x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 57115091d37SBarry Smith x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ; 5724cd38560SBarry Smith } 5734cd38560SBarry Smith /* load in initial (unfactored row) */ 5744cd38560SBarry Smith nz = ai[i+1] - ai[i]; 5754cd38560SBarry Smith ajtmpold = aj + ai[i]; 5764cd38560SBarry Smith v = aa + 49*ai[i]; 5774cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 5784cd38560SBarry Smith x = rtmp+49*ajtmpold[j]; 5794cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 5804cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 5814cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 5824cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 5834cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 5844cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 5854cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 5864cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 5874cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 5884cd38560SBarry Smith x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 5894cd38560SBarry Smith x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 5904cd38560SBarry Smith x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 5914cd38560SBarry Smith x[48] = v[48]; 5924cd38560SBarry Smith v += 49; 5934cd38560SBarry Smith } 5944cd38560SBarry Smith row = *ajtmp++; 5954cd38560SBarry Smith while (row < i) { 5964cd38560SBarry Smith pc = rtmp + 49*row; 5974cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 5984cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 5994cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 6004cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 6014cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 6024cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 6034cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 6044cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 6054cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 6064cd38560SBarry Smith p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 6074cd38560SBarry Smith p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 6084cd38560SBarry Smith p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 6094cd38560SBarry Smith p49 = pc[48]; 6104cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 6114cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 6124cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 6134cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 6144cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 6154cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 6164cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 6174cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 6184cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 6194cd38560SBarry Smith p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 6204cd38560SBarry Smith p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 6214cd38560SBarry Smith p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 6224cd38560SBarry Smith p49 != 0.0) { 62315091d37SBarry Smith pv = ba + 49*diag_offset[row]; 6244cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 6254cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 6264cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 6274cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 6284cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 6294cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 6304cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 6314cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 6324cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 6334cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 6344cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 6354cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 6364cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 6374cd38560SBarry Smith x49 = pv[48]; 6384cd38560SBarry Smith pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 6394cd38560SBarry Smith pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 6404cd38560SBarry Smith pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 6414cd38560SBarry Smith pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 6424cd38560SBarry Smith pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 6434cd38560SBarry Smith pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 6444cd38560SBarry Smith pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 6454cd38560SBarry Smith 6464cd38560SBarry Smith pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 6474cd38560SBarry Smith pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 6484cd38560SBarry Smith pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 6494cd38560SBarry Smith pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 6504cd38560SBarry Smith pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 6514cd38560SBarry Smith pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 6524cd38560SBarry Smith pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 6534cd38560SBarry Smith 6544cd38560SBarry Smith pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 6554cd38560SBarry Smith pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 6564cd38560SBarry Smith pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 6574cd38560SBarry Smith pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 6584cd38560SBarry Smith pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 6594cd38560SBarry Smith pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 6604cd38560SBarry Smith pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 6614cd38560SBarry Smith 6624cd38560SBarry Smith pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 6634cd38560SBarry Smith pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 6644cd38560SBarry Smith pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 6654cd38560SBarry Smith pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 6664cd38560SBarry Smith pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 6674cd38560SBarry Smith pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 6684cd38560SBarry Smith pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 6694cd38560SBarry Smith 6704cd38560SBarry Smith pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 6714cd38560SBarry Smith pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 6724cd38560SBarry Smith pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 6734cd38560SBarry Smith pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 6744cd38560SBarry Smith pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 6754cd38560SBarry Smith pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 6764cd38560SBarry Smith pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 6774cd38560SBarry Smith 6784cd38560SBarry Smith pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 6794cd38560SBarry Smith pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 6804cd38560SBarry Smith pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 6814cd38560SBarry Smith pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 6824cd38560SBarry Smith pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 6834cd38560SBarry Smith pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 6844cd38560SBarry Smith pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 6854cd38560SBarry Smith 6864cd38560SBarry Smith pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 6874cd38560SBarry Smith pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 6884cd38560SBarry Smith pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 6894cd38560SBarry Smith pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 6904cd38560SBarry Smith pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 6914cd38560SBarry Smith pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 6924cd38560SBarry Smith pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 6934cd38560SBarry Smith 6944cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 6954cd38560SBarry Smith pv += 49; 6964cd38560SBarry Smith for (j=0; j<nz; j++) { 6974cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 6984cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 6994cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 7004cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 7014cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 7024cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 7034cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 7044cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 7054cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 7064cd38560SBarry Smith x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 7074cd38560SBarry Smith x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 7084cd38560SBarry Smith x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 7094cd38560SBarry Smith x49 = pv[48]; 7104cd38560SBarry Smith x = rtmp + 49*pj[j]; 7114cd38560SBarry Smith x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 7124cd38560SBarry Smith x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 7134cd38560SBarry Smith x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 7144cd38560SBarry Smith x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 7154cd38560SBarry Smith x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 7164cd38560SBarry Smith x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 7174cd38560SBarry Smith x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 7184cd38560SBarry Smith 7194cd38560SBarry Smith x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 7204cd38560SBarry Smith x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 7214cd38560SBarry Smith x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 7224cd38560SBarry Smith x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 7234cd38560SBarry Smith x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 7244cd38560SBarry Smith x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 7254cd38560SBarry Smith x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 7264cd38560SBarry Smith 7274cd38560SBarry Smith x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 7284cd38560SBarry Smith x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 7294cd38560SBarry Smith x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 7304cd38560SBarry Smith x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 7314cd38560SBarry Smith x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 7324cd38560SBarry Smith x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 7334cd38560SBarry Smith x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 7344cd38560SBarry Smith 7354cd38560SBarry Smith x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 7364cd38560SBarry Smith x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 7374cd38560SBarry Smith x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 7384cd38560SBarry Smith x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 7394cd38560SBarry Smith x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 7404cd38560SBarry Smith x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 7414cd38560SBarry Smith x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 7424cd38560SBarry Smith 7434cd38560SBarry Smith x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 7444cd38560SBarry Smith x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 7454cd38560SBarry Smith x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 7464cd38560SBarry Smith x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 7474cd38560SBarry Smith x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 7484cd38560SBarry Smith x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 7494cd38560SBarry Smith x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 7504cd38560SBarry Smith 7514cd38560SBarry Smith x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 7524cd38560SBarry Smith x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 7534cd38560SBarry Smith x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 7544cd38560SBarry Smith x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 7554cd38560SBarry Smith x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 7564cd38560SBarry Smith x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 7574cd38560SBarry Smith x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 7584cd38560SBarry Smith 7594cd38560SBarry Smith x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 7604cd38560SBarry Smith x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 7614cd38560SBarry Smith x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 7624cd38560SBarry Smith x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 7634cd38560SBarry Smith x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 7644cd38560SBarry Smith x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 7654cd38560SBarry Smith x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 7664cd38560SBarry Smith pv += 49; 7674cd38560SBarry Smith } 7684cd38560SBarry Smith PLogFlops(686*nz+637); 7694cd38560SBarry Smith } 7704cd38560SBarry Smith row = *ajtmp++; 7714cd38560SBarry Smith } 7724cd38560SBarry Smith /* finished row so stick it into b->a */ 7734cd38560SBarry Smith pv = ba + 49*bi[i]; 7744cd38560SBarry Smith pj = bj + bi[i]; 7754cd38560SBarry Smith nz = bi[i+1] - bi[i]; 7764cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 7774cd38560SBarry Smith x = rtmp+49*pj[j]; 7784cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 7794cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 7804cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 7814cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 7824cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 7834cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 7844cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 7854cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 7864cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 7874cd38560SBarry Smith pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 7884cd38560SBarry Smith pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 7894cd38560SBarry Smith pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 79015091d37SBarry Smith pv[48] = x[48]; 7914cd38560SBarry Smith pv += 49; 7924cd38560SBarry Smith } 7934cd38560SBarry Smith /* invert diagonal block */ 7944cd38560SBarry Smith w = ba + 49*diag_offset[i]; 7954cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr); 7964cd38560SBarry Smith } 7974cd38560SBarry Smith 798606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 7994cd38560SBarry Smith C->factor = FACTOR_LU; 8004cd38560SBarry Smith C->assembled = PETSC_TRUE; 8014cd38560SBarry Smith PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */ 8024cd38560SBarry Smith PetscFunctionReturn(0); 8034cd38560SBarry Smith } 8044cd38560SBarry Smith 8054cd38560SBarry Smith /* ------------------------------------------------------------*/ 8064cd38560SBarry Smith /* 8074cd38560SBarry Smith Version for when blocks are 6 by 6 8084cd38560SBarry Smith */ 8094cd38560SBarry Smith #undef __FUNC__ 8104cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_6" 8114cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_6(Mat A,Mat *B) 8124cd38560SBarry Smith { 8134cd38560SBarry Smith Mat C = *B; 8144cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 8154cd38560SBarry Smith IS isrow = b->row, isicol = b->icol; 8164cd38560SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 8174cd38560SBarry Smith int *ajtmpold, *ajtmp, nz, row; 8184cd38560SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j; 8194cd38560SBarry Smith register int *pj; 8204cd38560SBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 8214cd38560SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 8224cd38560SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 8234cd38560SBarry Smith MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 8244cd38560SBarry Smith MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 8254cd38560SBarry Smith MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 8264cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 8274cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 8284cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 8294cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 8304cd38560SBarry Smith 8314cd38560SBarry Smith PetscFunctionBegin; 8324cd38560SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 8334cd38560SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 8344cd38560SBarry Smith rtmp = (MatScalar *) PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 8354cd38560SBarry Smith 8364cd38560SBarry Smith for ( i=0; i<n; i++ ) { 8374cd38560SBarry Smith nz = bi[i+1] - bi[i]; 8384cd38560SBarry Smith ajtmp = bj + bi[i]; 8394cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 8404cd38560SBarry Smith x = rtmp+36*ajtmp[j]; 8414cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 8424cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 8434cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 8444cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 8454cd38560SBarry Smith x[34] = x[35] = 0.0 ; 8464cd38560SBarry Smith } 8474cd38560SBarry Smith /* load in initial (unfactored row) */ 8484cd38560SBarry Smith idx = r[i]; 8494cd38560SBarry Smith nz = ai[idx+1] - ai[idx]; 8504cd38560SBarry Smith ajtmpold = aj + ai[idx]; 8514cd38560SBarry Smith v = aa + 36*ai[idx]; 8524cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 8534cd38560SBarry Smith x = rtmp+36*ic[ajtmpold[j]]; 8544cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 8554cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 8564cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 8574cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 8584cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 8594cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 8604cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 8614cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 8624cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 8634cd38560SBarry Smith v += 36; 8644cd38560SBarry Smith } 8654cd38560SBarry Smith row = *ajtmp++; 8664cd38560SBarry Smith while (row < i) { 8674cd38560SBarry Smith pc = rtmp + 36*row; 8684cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 8694cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 8704cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 8714cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 8724cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 8734cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 8744cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 8754cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 8764cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 8774cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 8784cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 8794cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 8804cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 8814cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 8824cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 8834cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 8844cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 8854cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 8864cd38560SBarry Smith pv = ba + 36*diag_offset[row]; 8874cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 8884cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 8894cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 8904cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 8914cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 8924cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 8934cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 8944cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 8954cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 8964cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 8974cd38560SBarry Smith pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 8984cd38560SBarry Smith pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 8994cd38560SBarry Smith pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 9004cd38560SBarry Smith pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 9014cd38560SBarry Smith pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 9024cd38560SBarry Smith pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 9034cd38560SBarry Smith 9044cd38560SBarry Smith pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 9054cd38560SBarry Smith pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 9064cd38560SBarry Smith pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 9074cd38560SBarry Smith pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 9084cd38560SBarry Smith pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 9094cd38560SBarry Smith pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 9104cd38560SBarry Smith 9114cd38560SBarry Smith pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 9124cd38560SBarry Smith pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 9134cd38560SBarry Smith pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 9144cd38560SBarry Smith pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 9154cd38560SBarry Smith pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 9164cd38560SBarry Smith pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 9174cd38560SBarry Smith 9184cd38560SBarry Smith pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 9194cd38560SBarry Smith pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 9204cd38560SBarry Smith pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 9214cd38560SBarry Smith pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 9224cd38560SBarry Smith pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 9234cd38560SBarry Smith pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 9244cd38560SBarry Smith 9254cd38560SBarry Smith pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 9264cd38560SBarry Smith pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 9274cd38560SBarry Smith pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 9284cd38560SBarry Smith pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 9294cd38560SBarry Smith pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 9304cd38560SBarry Smith pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 9314cd38560SBarry Smith 9324cd38560SBarry Smith pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 9334cd38560SBarry Smith pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 9344cd38560SBarry Smith pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 9354cd38560SBarry Smith pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 9364cd38560SBarry Smith pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 9374cd38560SBarry Smith pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 9384cd38560SBarry Smith 9394cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 9404cd38560SBarry Smith pv += 36; 9414cd38560SBarry Smith for (j=0; j<nz; j++) { 9424cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 9434cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 9444cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 9454cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 9464cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 9474cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 9484cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 9494cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 9504cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 9514cd38560SBarry Smith x = rtmp + 36*pj[j]; 9524cd38560SBarry Smith x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 9534cd38560SBarry Smith x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 9544cd38560SBarry Smith x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 9554cd38560SBarry Smith x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 9564cd38560SBarry Smith x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 9574cd38560SBarry Smith x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 9584cd38560SBarry Smith 9594cd38560SBarry Smith x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 9604cd38560SBarry Smith x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 9614cd38560SBarry Smith x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 9624cd38560SBarry Smith x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 9634cd38560SBarry Smith x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 9644cd38560SBarry Smith x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 9654cd38560SBarry Smith 9664cd38560SBarry Smith x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 9674cd38560SBarry Smith x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 9684cd38560SBarry Smith x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 9694cd38560SBarry Smith x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 9704cd38560SBarry Smith x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 9714cd38560SBarry Smith x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 9724cd38560SBarry Smith 9734cd38560SBarry Smith x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 9744cd38560SBarry Smith x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 9754cd38560SBarry Smith x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 9764cd38560SBarry Smith x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 9774cd38560SBarry Smith x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 9784cd38560SBarry Smith x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 9794cd38560SBarry Smith 9804cd38560SBarry Smith x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 9814cd38560SBarry Smith x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 9824cd38560SBarry Smith x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 9834cd38560SBarry Smith x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 9844cd38560SBarry Smith x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 9854cd38560SBarry Smith x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 9864cd38560SBarry Smith 9874cd38560SBarry Smith x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 9884cd38560SBarry Smith x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 9894cd38560SBarry Smith x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 9904cd38560SBarry Smith x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 9914cd38560SBarry Smith x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 9924cd38560SBarry Smith x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 9934cd38560SBarry Smith 9944cd38560SBarry Smith pv += 36; 9954cd38560SBarry Smith } 9964cd38560SBarry Smith PLogFlops(432*nz+396); 9974cd38560SBarry Smith } 9984cd38560SBarry Smith row = *ajtmp++; 9994cd38560SBarry Smith } 10004cd38560SBarry Smith /* finished row so stick it into b->a */ 10014cd38560SBarry Smith pv = ba + 36*bi[i]; 10024cd38560SBarry Smith pj = bj + bi[i]; 10034cd38560SBarry Smith nz = bi[i+1] - bi[i]; 10044cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 10054cd38560SBarry Smith x = rtmp+36*pj[j]; 10064cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 10074cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 10084cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 10094cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 10104cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 10114cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 10124cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 10134cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 10144cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 10154cd38560SBarry Smith pv += 36; 10164cd38560SBarry Smith } 10174cd38560SBarry Smith /* invert diagonal block */ 10184cd38560SBarry Smith w = ba + 36*diag_offset[i]; 10194cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr); 10204cd38560SBarry Smith } 10214cd38560SBarry Smith 1022606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 10234cd38560SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 10244cd38560SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 10254cd38560SBarry Smith C->factor = FACTOR_LU; 10264cd38560SBarry Smith C->assembled = PETSC_TRUE; 10274cd38560SBarry Smith PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 10284cd38560SBarry Smith PetscFunctionReturn(0); 10294cd38560SBarry Smith } 10304cd38560SBarry Smith /* 10314cd38560SBarry Smith Version for when blocks are 6 by 6 Using natural ordering 10324cd38560SBarry Smith */ 10334cd38560SBarry Smith #undef __FUNC__ 10344cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering" 10354cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat A,Mat *B) 10364cd38560SBarry Smith { 10374cd38560SBarry Smith Mat C = *B; 10384cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 10394cd38560SBarry Smith int ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 10404cd38560SBarry Smith int *ajtmpold, *ajtmp, nz, row; 10414cd38560SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j; 10424cd38560SBarry Smith register int *pj; 10434cd38560SBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 10444cd38560SBarry Smith MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 10454cd38560SBarry Smith MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 10464cd38560SBarry Smith MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 10474cd38560SBarry Smith MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 10484cd38560SBarry Smith MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 10494cd38560SBarry Smith MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 10504cd38560SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 10514cd38560SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 10524cd38560SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 10534cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 10544cd38560SBarry Smith 10554cd38560SBarry Smith PetscFunctionBegin; 10564cd38560SBarry Smith rtmp = (MatScalar *) PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 10574cd38560SBarry Smith for ( i=0; i<n; i++ ) { 10584cd38560SBarry Smith nz = bi[i+1] - bi[i]; 10594cd38560SBarry Smith ajtmp = bj + bi[i]; 10604cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 10614cd38560SBarry Smith x = rtmp+36*ajtmp[j]; 10624cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 10634cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 10644cd38560SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 10654cd38560SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 10664cd38560SBarry Smith x[34] = x[35] = 0.0 ; 10674cd38560SBarry Smith } 10684cd38560SBarry Smith /* load in initial (unfactored row) */ 10694cd38560SBarry Smith nz = ai[i+1] - ai[i]; 10704cd38560SBarry Smith ajtmpold = aj + ai[i]; 10714cd38560SBarry Smith v = aa + 36*ai[i]; 10724cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 10734cd38560SBarry Smith x = rtmp+36*ajtmpold[j]; 10744cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 10754cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 10764cd38560SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 10774cd38560SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 10784cd38560SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 10794cd38560SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 10804cd38560SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 10814cd38560SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 10824cd38560SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 10834cd38560SBarry Smith v += 36; 10844cd38560SBarry Smith } 10854cd38560SBarry Smith row = *ajtmp++; 10864cd38560SBarry Smith while (row < i) { 10874cd38560SBarry Smith pc = rtmp + 36*row; 10884cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 10894cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 10904cd38560SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 10914cd38560SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 10924cd38560SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 10934cd38560SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 10944cd38560SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 10954cd38560SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 10964cd38560SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 10974cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 10984cd38560SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 10994cd38560SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 11004cd38560SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 11014cd38560SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 11024cd38560SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 11034cd38560SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 11044cd38560SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 11054cd38560SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 11064cd38560SBarry Smith pv = ba + 36*diag_offset[row]; 11074cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 11084cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 11094cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 11104cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 11114cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 11124cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 11134cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 11144cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 11154cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 11164cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 11174cd38560SBarry Smith pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 11184cd38560SBarry Smith pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 11194cd38560SBarry Smith pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 11204cd38560SBarry Smith pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 11214cd38560SBarry Smith pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 11224cd38560SBarry Smith pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 11234cd38560SBarry Smith 11244cd38560SBarry Smith pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 11254cd38560SBarry Smith pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 11264cd38560SBarry Smith pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 11274cd38560SBarry Smith pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 11284cd38560SBarry Smith pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 11294cd38560SBarry Smith pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 11304cd38560SBarry Smith 11314cd38560SBarry Smith pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 11324cd38560SBarry Smith pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 11334cd38560SBarry Smith pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 11344cd38560SBarry Smith pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 11354cd38560SBarry Smith pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 11364cd38560SBarry Smith pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 11374cd38560SBarry Smith 11384cd38560SBarry Smith pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 11394cd38560SBarry Smith pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 11404cd38560SBarry Smith pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 11414cd38560SBarry Smith pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 11424cd38560SBarry Smith pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 11434cd38560SBarry Smith pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 11444cd38560SBarry Smith 11454cd38560SBarry Smith pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 11464cd38560SBarry Smith pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 11474cd38560SBarry Smith pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 11484cd38560SBarry Smith pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 11494cd38560SBarry Smith pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 11504cd38560SBarry Smith pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 11514cd38560SBarry Smith 11524cd38560SBarry Smith pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 11534cd38560SBarry Smith pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 11544cd38560SBarry Smith pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 11554cd38560SBarry Smith pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 11564cd38560SBarry Smith pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 11574cd38560SBarry Smith pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 11584cd38560SBarry Smith 11594cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 11604cd38560SBarry Smith pv += 36; 11614cd38560SBarry Smith for (j=0; j<nz; j++) { 11624cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 11634cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 11644cd38560SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 11654cd38560SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 11664cd38560SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 11674cd38560SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 11684cd38560SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 11694cd38560SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 11704cd38560SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 11714cd38560SBarry Smith x = rtmp + 36*pj[j]; 11724cd38560SBarry Smith x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 11734cd38560SBarry Smith x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 11744cd38560SBarry Smith x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 11754cd38560SBarry Smith x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 11764cd38560SBarry Smith x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 11774cd38560SBarry Smith x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 11784cd38560SBarry Smith 11794cd38560SBarry Smith x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 11804cd38560SBarry Smith x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 11814cd38560SBarry Smith x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 11824cd38560SBarry Smith x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 11834cd38560SBarry Smith x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 11844cd38560SBarry Smith x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 11854cd38560SBarry Smith 11864cd38560SBarry Smith x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 11874cd38560SBarry Smith x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 11884cd38560SBarry Smith x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 11894cd38560SBarry Smith x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 11904cd38560SBarry Smith x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 11914cd38560SBarry Smith x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 11924cd38560SBarry Smith 11934cd38560SBarry Smith x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 11944cd38560SBarry Smith x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 11954cd38560SBarry Smith x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 11964cd38560SBarry Smith x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 11974cd38560SBarry Smith x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 11984cd38560SBarry Smith x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 11994cd38560SBarry Smith 12004cd38560SBarry Smith x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 12014cd38560SBarry Smith x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 12024cd38560SBarry Smith x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 12034cd38560SBarry Smith x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 12044cd38560SBarry Smith x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 12054cd38560SBarry Smith x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 12064cd38560SBarry Smith 12074cd38560SBarry Smith x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 12084cd38560SBarry Smith x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 12094cd38560SBarry Smith x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 12104cd38560SBarry Smith x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 12114cd38560SBarry Smith x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 12124cd38560SBarry Smith x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 12134cd38560SBarry Smith 12144cd38560SBarry Smith pv += 36; 12154cd38560SBarry Smith } 12164cd38560SBarry Smith PLogFlops(432*nz+396); 12174cd38560SBarry Smith } 12184cd38560SBarry Smith row = *ajtmp++; 12194cd38560SBarry Smith } 12204cd38560SBarry Smith /* finished row so stick it into b->a */ 12214cd38560SBarry Smith pv = ba + 36*bi[i]; 12224cd38560SBarry Smith pj = bj + bi[i]; 12234cd38560SBarry Smith nz = bi[i+1] - bi[i]; 12244cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 12254cd38560SBarry Smith x = rtmp+36*pj[j]; 12264cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 12274cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 12284cd38560SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 12294cd38560SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 12304cd38560SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 12314cd38560SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 12324cd38560SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 12334cd38560SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 12344cd38560SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 12354cd38560SBarry Smith pv += 36; 12364cd38560SBarry Smith } 12374cd38560SBarry Smith /* invert diagonal block */ 12384cd38560SBarry Smith w = ba + 36*diag_offset[i]; 12394cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr); 12404cd38560SBarry Smith } 12414cd38560SBarry Smith 1242606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 12434cd38560SBarry Smith C->factor = FACTOR_LU; 12444cd38560SBarry Smith C->assembled = PETSC_TRUE; 12454cd38560SBarry Smith PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 12464cd38560SBarry Smith PetscFunctionReturn(0); 12474cd38560SBarry Smith } 12484cd38560SBarry Smith 12494cd38560SBarry Smith /* ------------------------------------------------------------*/ 12504cd38560SBarry Smith /* 12516d84be18SBarry Smith Version for when blocks are 5 by 5 12526d84be18SBarry Smith */ 12535615d1e5SSatish Balay #undef __FUNC__ 12545615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_5" 12556d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_5(Mat A,Mat *B) 12566d84be18SBarry Smith { 12576d84be18SBarry Smith Mat C = *B; 12586d84be18SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 12597cdf2dbbSSatish Balay IS isrow = b->row, isicol = b->icol; 12604078e994SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 12618a36c062SBarry Smith int *ajtmpold, *ajtmp, nz, row; 12628a36c062SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j; 12633a40ed3dSBarry Smith register int *pj; 12643f1db9ecSBarry Smith register 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; 14384cd38560SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j; 14394cd38560SBarry Smith register int *pj; 14404cd38560SBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 14414cd38560SBarry Smith MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 14424cd38560SBarry Smith MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 14434cd38560SBarry Smith MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 14444cd38560SBarry Smith MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 14454cd38560SBarry Smith MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 14464cd38560SBarry Smith MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 14474cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 14484cd38560SBarry Smith 14494cd38560SBarry Smith PetscFunctionBegin; 14504cd38560SBarry Smith rtmp = (MatScalar *) PetscMalloc(25*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 14514cd38560SBarry Smith for ( i=0; i<n; i++ ) { 14524cd38560SBarry Smith nz = bi[i+1] - bi[i]; 14534cd38560SBarry Smith ajtmp = bj + bi[i]; 14544cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 14554cd38560SBarry Smith x = rtmp+25*ajtmp[j]; 14564cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 14574cd38560SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 14584cd38560SBarry Smith x[16] = x[17] = x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 14594cd38560SBarry Smith } 14604cd38560SBarry Smith /* load in initial (unfactored row) */ 14614cd38560SBarry Smith nz = ai[i+1] - ai[i]; 14624cd38560SBarry Smith ajtmpold = aj + ai[i]; 14634cd38560SBarry Smith v = aa + 25*ai[i]; 14644cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 14654cd38560SBarry Smith x = rtmp+25*ajtmpold[j]; 14664cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 14674cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 14684cd38560SBarry Smith x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 14694cd38560SBarry Smith x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; 14704cd38560SBarry Smith x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 14714cd38560SBarry Smith x[24] = v[24]; 14724cd38560SBarry Smith v += 25; 14734cd38560SBarry Smith } 14744cd38560SBarry Smith row = *ajtmp++; 14754cd38560SBarry Smith while (row < i) { 14764cd38560SBarry Smith pc = rtmp + 25*row; 14774cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 14784cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 14794cd38560SBarry Smith p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 14804cd38560SBarry Smith p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; 14814cd38560SBarry Smith p19 = pc[18]; p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; 14824cd38560SBarry Smith p24 = pc[23]; p25 = pc[24]; 14834cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 14844cd38560SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 14854cd38560SBarry Smith p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 14864cd38560SBarry Smith || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 14874cd38560SBarry Smith || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0) { 14884cd38560SBarry Smith pv = ba + 25*diag_offset[row]; 14894cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 14904cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 14914cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 14924cd38560SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 14934cd38560SBarry Smith x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; 14944cd38560SBarry Smith x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 14954cd38560SBarry Smith x25 = pv[24]; 14964cd38560SBarry Smith pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 14974cd38560SBarry Smith pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 14984cd38560SBarry Smith pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 14994cd38560SBarry Smith pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 15004cd38560SBarry Smith pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 15014cd38560SBarry Smith 15024cd38560SBarry Smith pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 15034cd38560SBarry Smith pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 15044cd38560SBarry Smith pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 15054cd38560SBarry Smith pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 15064cd38560SBarry Smith pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 15074cd38560SBarry Smith 15084cd38560SBarry Smith pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 15094cd38560SBarry Smith pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 15104cd38560SBarry Smith pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 15114cd38560SBarry Smith pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 15124cd38560SBarry Smith pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 15134cd38560SBarry Smith 15144cd38560SBarry Smith pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 15154cd38560SBarry Smith pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 15164cd38560SBarry Smith pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 15174cd38560SBarry Smith pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 15184cd38560SBarry Smith pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 15194cd38560SBarry Smith 15204cd38560SBarry Smith pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 15214cd38560SBarry Smith pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 15224cd38560SBarry Smith pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 15234cd38560SBarry Smith pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 15244cd38560SBarry Smith pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 15254cd38560SBarry Smith 15264cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 15274cd38560SBarry Smith pv += 25; 15284cd38560SBarry Smith for (j=0; j<nz; j++) { 15294cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 15304cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 15314cd38560SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 15324cd38560SBarry Smith x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 15334cd38560SBarry Smith x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; 15344cd38560SBarry Smith x24 = pv[23]; x25 = pv[24]; 15354cd38560SBarry Smith x = rtmp + 25*pj[j]; 15364cd38560SBarry Smith x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 15374cd38560SBarry Smith x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 15384cd38560SBarry Smith x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 15394cd38560SBarry Smith x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 15404cd38560SBarry Smith x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 15414cd38560SBarry Smith 15424cd38560SBarry Smith x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 15434cd38560SBarry Smith x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 15444cd38560SBarry Smith x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 15454cd38560SBarry Smith x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 15464cd38560SBarry Smith x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 15474cd38560SBarry Smith 15484cd38560SBarry Smith x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 15494cd38560SBarry Smith x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 15504cd38560SBarry Smith x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 15514cd38560SBarry Smith x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 15524cd38560SBarry Smith x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 15534cd38560SBarry Smith 15544cd38560SBarry Smith x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 15554cd38560SBarry Smith x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 15564cd38560SBarry Smith x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 15574cd38560SBarry Smith x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 15584cd38560SBarry Smith x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 15594cd38560SBarry Smith 15604cd38560SBarry Smith x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 15614cd38560SBarry Smith x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 15624cd38560SBarry Smith x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 15634cd38560SBarry Smith x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 15644cd38560SBarry Smith x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 15654cd38560SBarry Smith pv += 25; 15664cd38560SBarry Smith } 15674cd38560SBarry Smith PLogFlops(250*nz+225); 15684cd38560SBarry Smith } 15694cd38560SBarry Smith row = *ajtmp++; 15704cd38560SBarry Smith } 15714cd38560SBarry Smith /* finished row so stick it into b->a */ 15724cd38560SBarry Smith pv = ba + 25*bi[i]; 15734cd38560SBarry Smith pj = bj + bi[i]; 15744cd38560SBarry Smith nz = bi[i+1] - bi[i]; 15754cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 15764cd38560SBarry Smith x = rtmp+25*pj[j]; 15774cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 15784cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 15794cd38560SBarry Smith pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 15804cd38560SBarry Smith pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; pv[17] = x[17]; 15814cd38560SBarry Smith pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; 15824cd38560SBarry Smith pv[23] = x[23]; pv[24] = x[24]; 15834cd38560SBarry Smith pv += 25; 15844cd38560SBarry Smith } 15854cd38560SBarry Smith /* invert diagonal block */ 15864cd38560SBarry Smith w = ba + 25*diag_offset[i]; 15874cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr); 15884cd38560SBarry Smith } 15894cd38560SBarry Smith 1590606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 15914cd38560SBarry Smith C->factor = FACTOR_LU; 15924cd38560SBarry Smith C->assembled = PETSC_TRUE; 15934cd38560SBarry Smith PLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */ 15944cd38560SBarry Smith PetscFunctionReturn(0); 15954cd38560SBarry Smith } 15966d84be18SBarry Smith 15976d84be18SBarry Smith /* ------------------------------------------------------------*/ 15986d84be18SBarry Smith /* 15996d84be18SBarry Smith Version for when blocks are 4 by 4 16006d84be18SBarry Smith */ 16015615d1e5SSatish Balay #undef __FUNC__ 16025615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_4" 16036d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_4(Mat A,Mat *B) 16046d84be18SBarry Smith { 16056d84be18SBarry Smith Mat C = *B; 16066d84be18SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 16077cdf2dbbSSatish Balay IS isrow = b->row, isicol = b->icol; 16084078e994SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 16098a36c062SBarry Smith int *ajtmpold, *ajtmp, nz, row; 16108a36c062SBarry Smith int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j; 16113a40ed3dSBarry Smith register int *pj; 16123f1db9ecSBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 16133f1db9ecSBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 16143f1db9ecSBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 16153f1db9ecSBarry Smith MatScalar p10,p11,p12,p13,p14,p15,p16,m10,m11,m12; 16163f1db9ecSBarry Smith MatScalar m13,m14,m15,m16; 16173f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 16186d84be18SBarry Smith 16193a40ed3dSBarry Smith PetscFunctionBegin; 16206d84be18SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 16216d84be18SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 16223f1db9ecSBarry Smith rtmp = (MatScalar *) PetscMalloc(16*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 16236d84be18SBarry Smith 16246d84be18SBarry Smith for ( i=0; i<n; i++ ) { 16254078e994SBarry Smith nz = bi[i+1] - bi[i]; 16264078e994SBarry Smith ajtmp = bj + bi[i]; 16276d84be18SBarry Smith for ( j=0; j<nz; j++ ) { 16286d84be18SBarry Smith x = rtmp+16*ajtmp[j]; 16296d84be18SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 16306d84be18SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 16316d84be18SBarry Smith } 16326d84be18SBarry Smith /* load in initial (unfactored row) */ 16336d84be18SBarry Smith idx = r[i]; 16344078e994SBarry Smith nz = ai[idx+1] - ai[idx]; 16354078e994SBarry Smith ajtmpold = aj + ai[idx]; 16364078e994SBarry Smith v = aa + 16*ai[idx]; 16376d84be18SBarry Smith for ( j=0; j<nz; j++ ) { 16386d84be18SBarry Smith x = rtmp+16*ic[ajtmpold[j]]; 16396d84be18SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 16406d84be18SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 16416d84be18SBarry Smith x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 16426d84be18SBarry Smith x[14] = v[14]; x[15] = v[15]; 16436d84be18SBarry Smith v += 16; 16446d84be18SBarry Smith } 16456d84be18SBarry Smith row = *ajtmp++; 16466d84be18SBarry Smith while (row < i) { 16476d84be18SBarry Smith pc = rtmp + 16*row; 16486d84be18SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 16496d84be18SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 16506d84be18SBarry Smith p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 16516d84be18SBarry Smith p15 = pc[14]; p16 = pc[15]; 16526d84be18SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 16536d84be18SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 16546d84be18SBarry Smith p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 16556d84be18SBarry Smith || p16 != 0.0) { 16564078e994SBarry Smith pv = ba + 16*diag_offset[row]; 16574078e994SBarry Smith pj = bj + diag_offset[row] + 1; 16586d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 16596d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 16606d84be18SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 16616d84be18SBarry Smith x15 = pv[14]; x16 = pv[15]; 16626d84be18SBarry Smith pc[0] = m1 = p1*x1 + p5*x2 + p9*x3 + p13*x4; 16636d84be18SBarry Smith pc[1] = m2 = p2*x1 + p6*x2 + p10*x3 + p14*x4; 16646d84be18SBarry Smith pc[2] = m3 = p3*x1 + p7*x2 + p11*x3 + p15*x4; 16656d84be18SBarry Smith pc[3] = m4 = p4*x1 + p8*x2 + p12*x3 + p16*x4; 16666d84be18SBarry Smith 16676d84be18SBarry Smith pc[4] = m5 = p1*x5 + p5*x6 + p9*x7 + p13*x8; 16686d84be18SBarry Smith pc[5] = m6 = p2*x5 + p6*x6 + p10*x7 + p14*x8; 16696d84be18SBarry Smith pc[6] = m7 = p3*x5 + p7*x6 + p11*x7 + p15*x8; 16706d84be18SBarry Smith pc[7] = m8 = p4*x5 + p8*x6 + p12*x7 + p16*x8; 16716d84be18SBarry Smith 16726d84be18SBarry Smith pc[8] = m9 = p1*x9 + p5*x10 + p9*x11 + p13*x12; 16736d84be18SBarry Smith pc[9] = m10 = p2*x9 + p6*x10 + p10*x11 + p14*x12; 16746d84be18SBarry Smith pc[10] = m11 = p3*x9 + p7*x10 + p11*x11 + p15*x12; 16756d84be18SBarry Smith pc[11] = m12 = p4*x9 + p8*x10 + p12*x11 + p16*x12; 16766d84be18SBarry Smith 16776d84be18SBarry Smith pc[12] = m13 = p1*x13 + p5*x14 + p9*x15 + p13*x16; 16786d84be18SBarry Smith pc[13] = m14 = p2*x13 + p6*x14 + p10*x15 + p14*x16; 16796d84be18SBarry Smith pc[14] = m15 = p3*x13 + p7*x14 + p11*x15 + p15*x16; 16806d84be18SBarry Smith pc[15] = m16 = p4*x13 + p8*x14 + p12*x15 + p16*x16; 16816d84be18SBarry Smith 16824078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 16836d84be18SBarry Smith pv += 16; 16846d84be18SBarry Smith for (j=0; j<nz; j++) { 16856d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 16866d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 16876d84be18SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 16886d84be18SBarry Smith x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 16896d84be18SBarry Smith x = rtmp + 16*pj[j]; 16906d84be18SBarry Smith x[0] -= m1*x1 + m5*x2 + m9*x3 + m13*x4; 16916d84be18SBarry Smith x[1] -= m2*x1 + m6*x2 + m10*x3 + m14*x4; 16926d84be18SBarry Smith x[2] -= m3*x1 + m7*x2 + m11*x3 + m15*x4; 16936d84be18SBarry Smith x[3] -= m4*x1 + m8*x2 + m12*x3 + m16*x4; 16946d84be18SBarry Smith 16956d84be18SBarry Smith x[4] -= m1*x5 + m5*x6 + m9*x7 + m13*x8; 16966d84be18SBarry Smith x[5] -= m2*x5 + m6*x6 + m10*x7 + m14*x8; 16976d84be18SBarry Smith x[6] -= m3*x5 + m7*x6 + m11*x7 + m15*x8; 16986d84be18SBarry Smith x[7] -= m4*x5 + m8*x6 + m12*x7 + m16*x8; 16996d84be18SBarry Smith 17006d84be18SBarry Smith x[8] -= m1*x9 + m5*x10 + m9*x11 + m13*x12; 17016d84be18SBarry Smith x[9] -= m2*x9 + m6*x10 + m10*x11 + m14*x12; 17026d84be18SBarry Smith x[10] -= m3*x9 + m7*x10 + m11*x11 + m15*x12; 17036d84be18SBarry Smith x[11] -= m4*x9 + m8*x10 + m12*x11 + m16*x12; 17046d84be18SBarry Smith 17056d84be18SBarry Smith x[12] -= m1*x13 + m5*x14 + m9*x15 + m13*x16; 17066d84be18SBarry Smith x[13] -= m2*x13 + m6*x14 + m10*x15 + m14*x16; 17076d84be18SBarry Smith x[14] -= m3*x13 + m7*x14 + m11*x15 + m15*x16; 17086d84be18SBarry Smith x[15] -= m4*x13 + m8*x14 + m12*x15 + m16*x16; 17096d84be18SBarry Smith 17106d84be18SBarry Smith pv += 16; 17116d84be18SBarry Smith } 17126d84be18SBarry Smith PLogFlops(128*nz+112); 17136d84be18SBarry Smith } 17146d84be18SBarry Smith row = *ajtmp++; 17156d84be18SBarry Smith } 17166d84be18SBarry Smith /* finished row so stick it into b->a */ 17174078e994SBarry Smith pv = ba + 16*bi[i]; 17184078e994SBarry Smith pj = bj + bi[i]; 17194078e994SBarry Smith nz = bi[i+1] - bi[i]; 17206d84be18SBarry Smith for ( j=0; j<nz; j++ ) { 17216d84be18SBarry Smith x = rtmp+16*pj[j]; 17226d84be18SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 17236d84be18SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 17246d84be18SBarry Smith pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 17256d84be18SBarry Smith pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 17266d84be18SBarry Smith pv += 16; 17276d84be18SBarry Smith } 17286d84be18SBarry Smith /* invert diagonal block */ 17294078e994SBarry Smith w = ba + 16*diag_offset[i]; 17308a36c062SBarry Smith ierr = Kernel_A_gets_inverse_A_4(w);CHKERRQ(ierr); 17316d84be18SBarry Smith } 17326d84be18SBarry Smith 1733606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 17346d84be18SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 17356d84be18SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 17366d84be18SBarry Smith C->factor = FACTOR_LU; 17376d84be18SBarry Smith C->assembled = PETSC_TRUE; 17386d84be18SBarry Smith PLogFlops(1.3333*64*b->mbs); /* from inverting diagonal blocks */ 17393a40ed3dSBarry Smith PetscFunctionReturn(0); 17406d84be18SBarry Smith } 174183559355SBarry Smith /* 174283559355SBarry Smith Version for when blocks are 4 by 4 Using natural ordering 174383559355SBarry Smith */ 174483559355SBarry Smith #undef __FUNC__ 174583559355SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering" 174683559355SBarry Smith int MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering(Mat A,Mat *B) 174783559355SBarry Smith { 174883559355SBarry Smith Mat C = *B; 174983559355SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 175083559355SBarry Smith int ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 175183559355SBarry Smith int *ajtmpold, *ajtmp, nz, row; 175283559355SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j; 17533a40ed3dSBarry Smith register int *pj; 17543f1db9ecSBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 17553f1db9ecSBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 17563f1db9ecSBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 17573f1db9ecSBarry Smith MatScalar p10,p11,p12,p13,p14,p15,p16,m10,m11,m12; 17583f1db9ecSBarry Smith MatScalar m13,m14,m15,m16; 17593f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 176083559355SBarry Smith 17613a40ed3dSBarry Smith PetscFunctionBegin; 17623f1db9ecSBarry Smith rtmp = (MatScalar *) PetscMalloc(16*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 176383559355SBarry Smith 176483559355SBarry Smith for ( i=0; i<n; i++ ) { 176583559355SBarry Smith nz = bi[i+1] - bi[i]; 176683559355SBarry Smith ajtmp = bj + bi[i]; 176783559355SBarry Smith for ( j=0; j<nz; j++ ) { 176883559355SBarry Smith x = rtmp+16*ajtmp[j]; 176983559355SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 177083559355SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 177183559355SBarry Smith } 177283559355SBarry Smith /* load in initial (unfactored row) */ 177383559355SBarry Smith nz = ai[i+1] - ai[i]; 177483559355SBarry Smith ajtmpold = aj + ai[i]; 177583559355SBarry Smith v = aa + 16*ai[i]; 177683559355SBarry Smith for ( j=0; j<nz; j++ ) { 177783559355SBarry Smith x = rtmp+16*ajtmpold[j]; 177883559355SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 177983559355SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 178083559355SBarry Smith x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 178183559355SBarry Smith x[14] = v[14]; x[15] = v[15]; 178283559355SBarry Smith v += 16; 178383559355SBarry Smith } 178483559355SBarry Smith row = *ajtmp++; 178583559355SBarry Smith while (row < i) { 178683559355SBarry Smith pc = rtmp + 16*row; 178783559355SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 178883559355SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 178983559355SBarry Smith p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 179083559355SBarry Smith p15 = pc[14]; p16 = pc[15]; 179183559355SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 179283559355SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 179383559355SBarry Smith p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 179483559355SBarry Smith || p16 != 0.0) { 179583559355SBarry Smith pv = ba + 16*diag_offset[row]; 179683559355SBarry Smith pj = bj + diag_offset[row] + 1; 179783559355SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 179883559355SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 179983559355SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 180083559355SBarry Smith x15 = pv[14]; x16 = pv[15]; 180183559355SBarry Smith pc[0] = m1 = p1*x1 + p5*x2 + p9*x3 + p13*x4; 180283559355SBarry Smith pc[1] = m2 = p2*x1 + p6*x2 + p10*x3 + p14*x4; 180383559355SBarry Smith pc[2] = m3 = p3*x1 + p7*x2 + p11*x3 + p15*x4; 180483559355SBarry Smith pc[3] = m4 = p4*x1 + p8*x2 + p12*x3 + p16*x4; 180583559355SBarry Smith 180683559355SBarry Smith pc[4] = m5 = p1*x5 + p5*x6 + p9*x7 + p13*x8; 180783559355SBarry Smith pc[5] = m6 = p2*x5 + p6*x6 + p10*x7 + p14*x8; 180883559355SBarry Smith pc[6] = m7 = p3*x5 + p7*x6 + p11*x7 + p15*x8; 180983559355SBarry Smith pc[7] = m8 = p4*x5 + p8*x6 + p12*x7 + p16*x8; 181083559355SBarry Smith 181183559355SBarry Smith pc[8] = m9 = p1*x9 + p5*x10 + p9*x11 + p13*x12; 181283559355SBarry Smith pc[9] = m10 = p2*x9 + p6*x10 + p10*x11 + p14*x12; 181383559355SBarry Smith pc[10] = m11 = p3*x9 + p7*x10 + p11*x11 + p15*x12; 181483559355SBarry Smith pc[11] = m12 = p4*x9 + p8*x10 + p12*x11 + p16*x12; 181583559355SBarry Smith 181683559355SBarry Smith pc[12] = m13 = p1*x13 + p5*x14 + p9*x15 + p13*x16; 181783559355SBarry Smith pc[13] = m14 = p2*x13 + p6*x14 + p10*x15 + p14*x16; 181883559355SBarry Smith pc[14] = m15 = p3*x13 + p7*x14 + p11*x15 + p15*x16; 181983559355SBarry Smith pc[15] = m16 = p4*x13 + p8*x14 + p12*x15 + p16*x16; 182083559355SBarry Smith 182183559355SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 182283559355SBarry Smith pv += 16; 182383559355SBarry Smith for (j=0; j<nz; j++) { 182483559355SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 182583559355SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 182683559355SBarry Smith x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 182783559355SBarry Smith x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 182883559355SBarry Smith x = rtmp + 16*pj[j]; 182983559355SBarry Smith x[0] -= m1*x1 + m5*x2 + m9*x3 + m13*x4; 183083559355SBarry Smith x[1] -= m2*x1 + m6*x2 + m10*x3 + m14*x4; 183183559355SBarry Smith x[2] -= m3*x1 + m7*x2 + m11*x3 + m15*x4; 183283559355SBarry Smith x[3] -= m4*x1 + m8*x2 + m12*x3 + m16*x4; 183383559355SBarry Smith 183483559355SBarry Smith x[4] -= m1*x5 + m5*x6 + m9*x7 + m13*x8; 183583559355SBarry Smith x[5] -= m2*x5 + m6*x6 + m10*x7 + m14*x8; 183683559355SBarry Smith x[6] -= m3*x5 + m7*x6 + m11*x7 + m15*x8; 183783559355SBarry Smith x[7] -= m4*x5 + m8*x6 + m12*x7 + m16*x8; 183883559355SBarry Smith 183983559355SBarry Smith x[8] -= m1*x9 + m5*x10 + m9*x11 + m13*x12; 184083559355SBarry Smith x[9] -= m2*x9 + m6*x10 + m10*x11 + m14*x12; 184183559355SBarry Smith x[10] -= m3*x9 + m7*x10 + m11*x11 + m15*x12; 184283559355SBarry Smith x[11] -= m4*x9 + m8*x10 + m12*x11 + m16*x12; 184383559355SBarry Smith 184483559355SBarry Smith x[12] -= m1*x13 + m5*x14 + m9*x15 + m13*x16; 184583559355SBarry Smith x[13] -= m2*x13 + m6*x14 + m10*x15 + m14*x16; 184683559355SBarry Smith x[14] -= m3*x13 + m7*x14 + m11*x15 + m15*x16; 184783559355SBarry Smith x[15] -= m4*x13 + m8*x14 + m12*x15 + m16*x16; 184883559355SBarry Smith 184983559355SBarry Smith pv += 16; 185083559355SBarry Smith } 185183559355SBarry Smith PLogFlops(128*nz+112); 185283559355SBarry Smith } 185383559355SBarry Smith row = *ajtmp++; 185483559355SBarry Smith } 185583559355SBarry Smith /* finished row so stick it into b->a */ 185683559355SBarry Smith pv = ba + 16*bi[i]; 185783559355SBarry Smith pj = bj + bi[i]; 185883559355SBarry Smith nz = bi[i+1] - bi[i]; 185983559355SBarry Smith for ( j=0; j<nz; j++ ) { 186083559355SBarry Smith x = rtmp+16*pj[j]; 186183559355SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 186283559355SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 186383559355SBarry Smith pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 186483559355SBarry Smith pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 186583559355SBarry Smith pv += 16; 186683559355SBarry Smith } 186783559355SBarry Smith /* invert diagonal block */ 186883559355SBarry Smith w = ba + 16*diag_offset[i]; 186983559355SBarry Smith ierr = Kernel_A_gets_inverse_A_4(w);CHKERRQ(ierr); 187083559355SBarry Smith } 187183559355SBarry Smith 1872606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 187383559355SBarry Smith C->factor = FACTOR_LU; 187483559355SBarry Smith C->assembled = PETSC_TRUE; 187583559355SBarry Smith PLogFlops(1.3333*64*b->mbs); /* from inverting diagonal blocks */ 18763a40ed3dSBarry Smith PetscFunctionReturn(0); 187783559355SBarry Smith } 187883559355SBarry Smith 1879667159a5SBarry Smith 18806d84be18SBarry Smith /* ------------------------------------------------------------*/ 18816d84be18SBarry Smith /* 18826d84be18SBarry Smith Version for when blocks are 3 by 3 18836d84be18SBarry Smith */ 18845615d1e5SSatish Balay #undef __FUNC__ 18855615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_3" 18866d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_3(Mat A,Mat *B) 18876d84be18SBarry Smith { 18886d84be18SBarry Smith Mat C = *B; 18896d84be18SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 18907cdf2dbbSSatish Balay IS isrow = b->row, isicol = b->icol; 18914078e994SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 1892a3c32e02SBarry Smith int *ajtmpold, *ajtmp, nz, row, *ai=a->i,*aj=a->j; 1893a3c32e02SBarry Smith int *diag_offset = b->diag,idx; 18943a40ed3dSBarry Smith register int *pj; 18953f1db9ecSBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 18963f1db9ecSBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 18973f1db9ecSBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9; 18983f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 18996d84be18SBarry Smith 19003a40ed3dSBarry Smith PetscFunctionBegin; 19016d84be18SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 19026d84be18SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 19033f1db9ecSBarry Smith rtmp = (MatScalar *) PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 19046d84be18SBarry Smith 19056d84be18SBarry Smith for ( i=0; i<n; i++ ) { 19064078e994SBarry Smith nz = bi[i+1] - bi[i]; 19074078e994SBarry Smith ajtmp = bj + bi[i]; 19086d84be18SBarry Smith for ( j=0; j<nz; j++ ) { 19096d84be18SBarry Smith x = rtmp + 9*ajtmp[j]; 19104cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0; 19116d84be18SBarry Smith } 19126d84be18SBarry Smith /* load in initial (unfactored row) */ 19136d84be18SBarry Smith idx = r[i]; 19144078e994SBarry Smith nz = ai[idx+1] - ai[idx]; 19154078e994SBarry Smith ajtmpold = aj + ai[idx]; 19164078e994SBarry Smith v = aa + 9*ai[idx]; 19176d84be18SBarry Smith for ( j=0; j<nz; j++ ) { 19186d84be18SBarry Smith x = rtmp + 9*ic[ajtmpold[j]]; 19196d84be18SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 19206d84be18SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 19216d84be18SBarry Smith v += 9; 19226d84be18SBarry Smith } 19236d84be18SBarry Smith row = *ajtmp++; 19246d84be18SBarry Smith while (row < i) { 19256d84be18SBarry Smith pc = rtmp + 9*row; 19266d84be18SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 19276d84be18SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 19286d84be18SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 19296d84be18SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) { 19304078e994SBarry Smith pv = ba + 9*diag_offset[row]; 19314078e994SBarry Smith pj = bj + diag_offset[row] + 1; 19326d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 19336d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 19346d84be18SBarry Smith pc[0] = m1 = p1*x1 + p4*x2 + p7*x3; 19356d84be18SBarry Smith pc[1] = m2 = p2*x1 + p5*x2 + p8*x3; 19366d84be18SBarry Smith pc[2] = m3 = p3*x1 + p6*x2 + p9*x3; 19376d84be18SBarry Smith 19386d84be18SBarry Smith pc[3] = m4 = p1*x4 + p4*x5 + p7*x6; 19396d84be18SBarry Smith pc[4] = m5 = p2*x4 + p5*x5 + p8*x6; 19406d84be18SBarry Smith pc[5] = m6 = p3*x4 + p6*x5 + p9*x6; 19416d84be18SBarry Smith 19426d84be18SBarry Smith pc[6] = m7 = p1*x7 + p4*x8 + p7*x9; 19436d84be18SBarry Smith pc[7] = m8 = p2*x7 + p5*x8 + p8*x9; 19446d84be18SBarry Smith pc[8] = m9 = p3*x7 + p6*x8 + p9*x9; 19454078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 19466d84be18SBarry Smith pv += 9; 19476d84be18SBarry Smith for (j=0; j<nz; j++) { 19486d84be18SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 19496d84be18SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 19506d84be18SBarry Smith x = rtmp + 9*pj[j]; 19516d84be18SBarry Smith x[0] -= m1*x1 + m4*x2 + m7*x3; 19526d84be18SBarry Smith x[1] -= m2*x1 + m5*x2 + m8*x3; 19536d84be18SBarry Smith x[2] -= m3*x1 + m6*x2 + m9*x3; 19546d84be18SBarry Smith 19556d84be18SBarry Smith x[3] -= m1*x4 + m4*x5 + m7*x6; 19566d84be18SBarry Smith x[4] -= m2*x4 + m5*x5 + m8*x6; 19576d84be18SBarry Smith x[5] -= m3*x4 + m6*x5 + m9*x6; 19586d84be18SBarry Smith 19596d84be18SBarry Smith x[6] -= m1*x7 + m4*x8 + m7*x9; 19606d84be18SBarry Smith x[7] -= m2*x7 + m5*x8 + m8*x9; 19616d84be18SBarry Smith x[8] -= m3*x7 + m6*x8 + m9*x9; 19626d84be18SBarry Smith pv += 9; 19636d84be18SBarry Smith } 19646d84be18SBarry Smith PLogFlops(54*nz+36); 19656d84be18SBarry Smith } 19666d84be18SBarry Smith row = *ajtmp++; 19676d84be18SBarry Smith } 19686d84be18SBarry Smith /* finished row so stick it into b->a */ 19694078e994SBarry Smith pv = ba + 9*bi[i]; 19704078e994SBarry Smith pj = bj + bi[i]; 19714078e994SBarry Smith nz = bi[i+1] - bi[i]; 19726d84be18SBarry Smith for ( j=0; j<nz; j++ ) { 19736d84be18SBarry Smith x = rtmp + 9*pj[j]; 19746d84be18SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 19756d84be18SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 19766d84be18SBarry Smith pv += 9; 19776d84be18SBarry Smith } 19786d84be18SBarry Smith /* invert diagonal block */ 19794078e994SBarry Smith w = ba + 9*diag_offset[i]; 19804078e994SBarry Smith ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr); 19816d84be18SBarry Smith } 19826d84be18SBarry Smith 1983606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 19846d84be18SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 19856d84be18SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 19866d84be18SBarry Smith C->factor = FACTOR_LU; 19876d84be18SBarry Smith C->assembled = PETSC_TRUE; 19886d84be18SBarry Smith PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */ 19893a40ed3dSBarry Smith PetscFunctionReturn(0); 19906d84be18SBarry Smith } 19914cd38560SBarry Smith /* 19924cd38560SBarry Smith Version for when blocks are 3 by 3 Using natural ordering 19934cd38560SBarry Smith */ 19944cd38560SBarry Smith #undef __FUNC__ 19954cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering" 19964cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering(Mat A,Mat *B) 19974cd38560SBarry Smith { 19984cd38560SBarry Smith Mat C = *B; 19994cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 20004cd38560SBarry Smith int ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 20014cd38560SBarry Smith int *ajtmpold, *ajtmp, nz, row; 20024cd38560SBarry Smith int *diag_offset = b->diag,*ai=a->i,*aj=a->j; 20034cd38560SBarry Smith register int *pj; 20044cd38560SBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 20054cd38560SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 20064cd38560SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9; 20074cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 20084cd38560SBarry Smith 20094cd38560SBarry Smith PetscFunctionBegin; 20104cd38560SBarry Smith rtmp = (MatScalar *) PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 20114cd38560SBarry Smith 20124cd38560SBarry Smith for ( i=0; i<n; i++ ) { 20134cd38560SBarry Smith nz = bi[i+1] - bi[i]; 20144cd38560SBarry Smith ajtmp = bj + bi[i]; 20154cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 20164cd38560SBarry Smith x = rtmp+9*ajtmp[j]; 20174cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0; 20184cd38560SBarry Smith } 20194cd38560SBarry Smith /* load in initial (unfactored row) */ 20204cd38560SBarry Smith nz = ai[i+1] - ai[i]; 20214cd38560SBarry Smith ajtmpold = aj + ai[i]; 20224cd38560SBarry Smith v = aa + 9*ai[i]; 20234cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 20244cd38560SBarry Smith x = rtmp+9*ajtmpold[j]; 20254cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 20264cd38560SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 20274cd38560SBarry Smith v += 9; 20284cd38560SBarry Smith } 20294cd38560SBarry Smith row = *ajtmp++; 20304cd38560SBarry Smith while (row < i) { 20314cd38560SBarry Smith pc = rtmp + 9*row; 20324cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 20334cd38560SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 20344cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 20354cd38560SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) { 20364cd38560SBarry Smith pv = ba + 9*diag_offset[row]; 20374cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 20384cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 20394cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 20404cd38560SBarry Smith pc[0] = m1 = p1*x1 + p4*x2 + p7*x3; 20414cd38560SBarry Smith pc[1] = m2 = p2*x1 + p5*x2 + p8*x3; 20424cd38560SBarry Smith pc[2] = m3 = p3*x1 + p6*x2 + p9*x3; 20434cd38560SBarry Smith 20444cd38560SBarry Smith pc[3] = m4 = p1*x4 + p4*x5 + p7*x6; 20454cd38560SBarry Smith pc[4] = m5 = p2*x4 + p5*x5 + p8*x6; 20464cd38560SBarry Smith pc[5] = m6 = p3*x4 + p6*x5 + p9*x6; 20474cd38560SBarry Smith 20484cd38560SBarry Smith pc[6] = m7 = p1*x7 + p4*x8 + p7*x9; 20494cd38560SBarry Smith pc[7] = m8 = p2*x7 + p5*x8 + p8*x9; 20504cd38560SBarry Smith pc[8] = m9 = p3*x7 + p6*x8 + p9*x9; 20514cd38560SBarry Smith 20524cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 20534cd38560SBarry Smith pv += 9; 20544cd38560SBarry Smith for (j=0; j<nz; j++) { 20554cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 20564cd38560SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 20574cd38560SBarry Smith x = rtmp + 9*pj[j]; 20584cd38560SBarry Smith x[0] -= m1*x1 + m4*x2 + m7*x3; 20594cd38560SBarry Smith x[1] -= m2*x1 + m5*x2 + m8*x3; 20604cd38560SBarry Smith x[2] -= m3*x1 + m6*x2 + m9*x3; 20614cd38560SBarry Smith 20624cd38560SBarry Smith x[3] -= m1*x4 + m4*x5 + m7*x6; 20634cd38560SBarry Smith x[4] -= m2*x4 + m5*x5 + m8*x6; 20644cd38560SBarry Smith x[5] -= m3*x4 + m6*x5 + m9*x6; 20654cd38560SBarry Smith 20664cd38560SBarry Smith x[6] -= m1*x7 + m4*x8 + m7*x9; 20674cd38560SBarry Smith x[7] -= m2*x7 + m5*x8 + m8*x9; 20684cd38560SBarry Smith x[8] -= m3*x7 + m6*x8 + m9*x9; 20694cd38560SBarry Smith pv += 9; 20704cd38560SBarry Smith } 20714cd38560SBarry Smith PLogFlops(54*nz+36); 20724cd38560SBarry Smith } 20734cd38560SBarry Smith row = *ajtmp++; 20744cd38560SBarry Smith } 20754cd38560SBarry Smith /* finished row so stick it into b->a */ 20764cd38560SBarry Smith pv = ba + 9*bi[i]; 20774cd38560SBarry Smith pj = bj + bi[i]; 20784cd38560SBarry Smith nz = bi[i+1] - bi[i]; 20794cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 20804cd38560SBarry Smith x = rtmp+9*pj[j]; 20814cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 20824cd38560SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 20834cd38560SBarry Smith pv += 9; 20844cd38560SBarry Smith } 20854cd38560SBarry Smith /* invert diagonal block */ 20864cd38560SBarry Smith w = ba + 9*diag_offset[i]; 20874cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr); 20884cd38560SBarry Smith } 20894cd38560SBarry Smith 2090606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 20914cd38560SBarry Smith C->factor = FACTOR_LU; 20924cd38560SBarry Smith C->assembled = PETSC_TRUE; 20934cd38560SBarry Smith PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */ 20944cd38560SBarry Smith PetscFunctionReturn(0); 20954cd38560SBarry Smith } 20966d84be18SBarry Smith 20976d84be18SBarry Smith /* ------------------------------------------------------------*/ 20986d84be18SBarry Smith /* 20994eeb42bcSBarry Smith Version for when blocks are 2 by 2 21004eeb42bcSBarry Smith */ 21015615d1e5SSatish Balay #undef __FUNC__ 21025615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_2" 21034eeb42bcSBarry Smith int MatLUFactorNumeric_SeqBAIJ_2(Mat A,Mat *B) 21044eeb42bcSBarry Smith { 21054eeb42bcSBarry Smith Mat C = *B; 21064eeb42bcSBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 21077cdf2dbbSSatish Balay IS isrow = b->row, isicol = b->icol; 21084078e994SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 21092515f8d2SSatish Balay int *ajtmpold, *ajtmp, nz, row; 21102515f8d2SSatish Balay int *diag_offset=b->diag,idx,*ai=a->i,*aj=a->j; 21113a40ed3dSBarry Smith register int *pj; 21123f1db9ecSBarry Smith register MatScalar *pv,*v,*rtmp,m1,m2,m3,m4,*pc,*w,*x,x1,x2,x3,x4; 21132515f8d2SSatish Balay MatScalar p1,p2,p3,p4; 21143f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 21154eeb42bcSBarry Smith 21163a40ed3dSBarry Smith PetscFunctionBegin; 21174eeb42bcSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 21184eeb42bcSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 21193f1db9ecSBarry Smith rtmp = (MatScalar *) PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 21204eeb42bcSBarry Smith 21214eeb42bcSBarry Smith for ( i=0; i<n; i++ ) { 21224078e994SBarry Smith nz = bi[i+1] - bi[i]; 21234078e994SBarry Smith ajtmp = bj + bi[i]; 21244eeb42bcSBarry Smith for ( j=0; j<nz; j++ ) { 21254eeb42bcSBarry Smith x = rtmp+4*ajtmp[j]; x[0] = x[1] = x[2] = x[3] = 0.0; 21264eeb42bcSBarry Smith } 21274eeb42bcSBarry Smith /* load in initial (unfactored row) */ 21284eeb42bcSBarry Smith idx = r[i]; 21294078e994SBarry Smith nz = ai[idx+1] - ai[idx]; 21304078e994SBarry Smith ajtmpold = aj + ai[idx]; 21314078e994SBarry Smith v = aa + 4*ai[idx]; 21324eeb42bcSBarry Smith for ( j=0; j<nz; j++ ) { 21334eeb42bcSBarry Smith x = rtmp+4*ic[ajtmpold[j]]; 21344eeb42bcSBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 21354eeb42bcSBarry Smith v += 4; 21364eeb42bcSBarry Smith } 21374eeb42bcSBarry Smith row = *ajtmp++; 21384eeb42bcSBarry Smith while (row < i) { 21394eeb42bcSBarry Smith pc = rtmp + 4*row; 21404eeb42bcSBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 214188685aaeSLois Curfman McInnes if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) { 21424078e994SBarry Smith pv = ba + 4*diag_offset[row]; 21434078e994SBarry Smith pj = bj + diag_offset[row] + 1; 21444eeb42bcSBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 21454eeb42bcSBarry Smith pc[0] = m1 = p1*x1 + p3*x2; 21464eeb42bcSBarry Smith pc[1] = m2 = p2*x1 + p4*x2; 21474eeb42bcSBarry Smith pc[2] = m3 = p1*x3 + p3*x4; 21484eeb42bcSBarry Smith pc[3] = m4 = p2*x3 + p4*x4; 21494078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 21504eeb42bcSBarry Smith pv += 4; 21514eeb42bcSBarry Smith for (j=0; j<nz; j++) { 21524eeb42bcSBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 21534eeb42bcSBarry Smith x = rtmp + 4*pj[j]; 21544eeb42bcSBarry Smith x[0] -= m1*x1 + m3*x2; 21554eeb42bcSBarry Smith x[1] -= m2*x1 + m4*x2; 21564eeb42bcSBarry Smith x[2] -= m1*x3 + m3*x4; 21574eeb42bcSBarry Smith x[3] -= m2*x3 + m4*x4; 21584eeb42bcSBarry Smith pv += 4; 21594eeb42bcSBarry Smith } 21604eeb42bcSBarry Smith PLogFlops(16*nz+12); 21614eeb42bcSBarry Smith } 21624eeb42bcSBarry Smith row = *ajtmp++; 21634eeb42bcSBarry Smith } 21644eeb42bcSBarry Smith /* finished row so stick it into b->a */ 21654078e994SBarry Smith pv = ba + 4*bi[i]; 21664078e994SBarry Smith pj = bj + bi[i]; 21674078e994SBarry Smith nz = bi[i+1] - bi[i]; 21684eeb42bcSBarry Smith for ( j=0; j<nz; j++ ) { 21694eeb42bcSBarry Smith x = rtmp+4*pj[j]; 21704eeb42bcSBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 21714eeb42bcSBarry Smith pv += 4; 21724eeb42bcSBarry Smith } 21734eeb42bcSBarry Smith /* invert diagonal block */ 21744078e994SBarry Smith w = ba + 4*diag_offset[i]; 21754cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr); 21764cd38560SBarry Smith /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/ 21774eeb42bcSBarry Smith } 21784eeb42bcSBarry Smith 2179606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 21804eeb42bcSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 21814eeb42bcSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 21824eeb42bcSBarry Smith C->factor = FACTOR_LU; 21834eeb42bcSBarry Smith C->assembled = PETSC_TRUE; 21844eeb42bcSBarry Smith PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */ 21853a40ed3dSBarry Smith PetscFunctionReturn(0); 21864eeb42bcSBarry Smith } 21874cd38560SBarry Smith /* 21884cd38560SBarry Smith Version for when blocks are 2 by 2 Using natural ordering 21894cd38560SBarry Smith */ 21904cd38560SBarry Smith #undef __FUNC__ 21914cd38560SBarry Smith #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering" 21924cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering(Mat A,Mat *B) 21934cd38560SBarry Smith { 21944cd38560SBarry Smith Mat C = *B; 21954cd38560SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data,*b = (Mat_SeqBAIJ *)C->data; 21964cd38560SBarry Smith int ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 21972515f8d2SSatish Balay int *ajtmpold, *ajtmp, nz, row; 21982515f8d2SSatish Balay int *diag_offset = b->diag,*ai=a->i,*aj=a->j; 21994cd38560SBarry Smith register int *pj; 22004cd38560SBarry Smith register MatScalar *pv,*v,*rtmp,*pc,*w,*x; 22012515f8d2SSatish Balay MatScalar p1,p2,p3,p4,m1,m2,m3,m4,x1,x2,x3,x4; 22024cd38560SBarry Smith MatScalar *ba = b->a,*aa = a->a; 22034cd38560SBarry Smith 22044cd38560SBarry Smith PetscFunctionBegin; 22054cd38560SBarry Smith rtmp = (MatScalar *) PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 22064cd38560SBarry Smith 22074cd38560SBarry Smith for ( i=0; i<n; i++ ) { 22084cd38560SBarry Smith nz = bi[i+1] - bi[i]; 22094cd38560SBarry Smith ajtmp = bj + bi[i]; 22104cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 22114cd38560SBarry Smith x = rtmp+4*ajtmp[j]; 22124cd38560SBarry Smith x[0] = x[1] = x[2] = x[3] = 0.0; 22134cd38560SBarry Smith } 22144cd38560SBarry Smith /* load in initial (unfactored row) */ 22154cd38560SBarry Smith nz = ai[i+1] - ai[i]; 22164cd38560SBarry Smith ajtmpold = aj + ai[i]; 22174cd38560SBarry Smith v = aa + 4*ai[i]; 22184cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 22194cd38560SBarry Smith x = rtmp+4*ajtmpold[j]; 22204cd38560SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 22214cd38560SBarry Smith v += 4; 22224cd38560SBarry Smith } 22234cd38560SBarry Smith row = *ajtmp++; 22244cd38560SBarry Smith while (row < i) { 22254cd38560SBarry Smith pc = rtmp + 4*row; 22264cd38560SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 22274cd38560SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) { 22284cd38560SBarry Smith pv = ba + 4*diag_offset[row]; 22294cd38560SBarry Smith pj = bj + diag_offset[row] + 1; 22304cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 22314cd38560SBarry Smith pc[0] = m1 = p1*x1 + p3*x2; 22324cd38560SBarry Smith pc[1] = m2 = p2*x1 + p4*x2; 22334cd38560SBarry Smith pc[2] = m3 = p1*x3 + p3*x4; 22344cd38560SBarry Smith pc[3] = m4 = p2*x3 + p4*x4; 22354cd38560SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 22364cd38560SBarry Smith pv += 4; 22374cd38560SBarry Smith for (j=0; j<nz; j++) { 22384cd38560SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 22394cd38560SBarry Smith x = rtmp + 4*pj[j]; 22404cd38560SBarry Smith x[0] -= m1*x1 + m3*x2; 22414cd38560SBarry Smith x[1] -= m2*x1 + m4*x2; 22424cd38560SBarry Smith x[2] -= m1*x3 + m3*x4; 22434cd38560SBarry Smith x[3] -= m2*x3 + m4*x4; 22444cd38560SBarry Smith pv += 4; 22454cd38560SBarry Smith } 22464cd38560SBarry Smith PLogFlops(16*nz+12); 22474cd38560SBarry Smith } 22484cd38560SBarry Smith row = *ajtmp++; 22494cd38560SBarry Smith } 22504cd38560SBarry Smith /* finished row so stick it into b->a */ 22514cd38560SBarry Smith pv = ba + 4*bi[i]; 22524cd38560SBarry Smith pj = bj + bi[i]; 22534cd38560SBarry Smith nz = bi[i+1] - bi[i]; 22544cd38560SBarry Smith for ( j=0; j<nz; j++ ) { 22554cd38560SBarry Smith x = rtmp+4*pj[j]; 22564cd38560SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 22574cd38560SBarry Smith pv += 4; 22584cd38560SBarry Smith } 22594cd38560SBarry Smith /* invert diagonal block */ 22604cd38560SBarry Smith w = ba + 4*diag_offset[i]; 22614cd38560SBarry Smith ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr); 22624cd38560SBarry Smith /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/ 22634cd38560SBarry Smith } 22644cd38560SBarry Smith 2265606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 22664cd38560SBarry Smith C->factor = FACTOR_LU; 22674cd38560SBarry Smith C->assembled = PETSC_TRUE; 22684cd38560SBarry Smith PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */ 22694cd38560SBarry Smith PetscFunctionReturn(0); 22704cd38560SBarry Smith } 22717fc0212eSBarry Smith 22727fc0212eSBarry Smith /* ----------------------------------------------------------- */ 22737fc0212eSBarry Smith /* 22747fc0212eSBarry Smith Version for when blocks are 1 by 1. 22757fc0212eSBarry Smith */ 22765615d1e5SSatish Balay #undef __FUNC__ 22775615d1e5SSatish Balay #define __FUNC__ "MatLUFactorNumeric_SeqBAIJ_1" 22787fc0212eSBarry Smith int MatLUFactorNumeric_SeqBAIJ_1(Mat A,Mat *B) 22797fc0212eSBarry Smith { 22807fc0212eSBarry Smith Mat C = *B; 22817fc0212eSBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data, *b = (Mat_SeqBAIJ *)C->data; 22827cdf2dbbSSatish Balay IS isrow = b->row, isicol = b->icol; 22834078e994SBarry Smith int *r,*ic, ierr, i, j, n = a->mbs, *bi = b->i, *bj = b->j; 22844078e994SBarry Smith int *ajtmpold, *ajtmp, nz, row,*ai = a->i,*aj = a->j; 22857fc0212eSBarry Smith int *diag_offset = b->diag,diag; 22863a40ed3dSBarry Smith register int *pj; 22873f1db9ecSBarry Smith register MatScalar *pv,*v,*rtmp,multiplier,*pc; 22883f1db9ecSBarry Smith MatScalar *ba = b->a,*aa = a->a; 22897fc0212eSBarry Smith 22903a40ed3dSBarry Smith PetscFunctionBegin; 22917fc0212eSBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 22927fc0212eSBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 22933f1db9ecSBarry Smith rtmp = (MatScalar *) PetscMalloc((n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 22947fc0212eSBarry Smith 22957fc0212eSBarry Smith for ( i=0; i<n; i++ ) { 22964078e994SBarry Smith nz = bi[i+1] - bi[i]; 22974078e994SBarry Smith ajtmp = bj + bi[i]; 22987fc0212eSBarry Smith for ( j=0; j<nz; j++ ) rtmp[ajtmp[j]] = 0.0; 22997fc0212eSBarry Smith 23007fc0212eSBarry Smith /* load in initial (unfactored row) */ 23014078e994SBarry Smith nz = ai[r[i]+1] - ai[r[i]]; 23024078e994SBarry Smith ajtmpold = aj + ai[r[i]]; 23034078e994SBarry Smith v = aa + ai[r[i]]; 23047fc0212eSBarry Smith for ( j=0; j<nz; j++ ) rtmp[ic[ajtmpold[j]]] = v[j]; 23057fc0212eSBarry Smith 23067fc0212eSBarry Smith row = *ajtmp++; 23077fc0212eSBarry Smith while (row < i) { 23087fc0212eSBarry Smith pc = rtmp + row; 23097fc0212eSBarry Smith if (*pc != 0.0) { 23104078e994SBarry Smith pv = ba + diag_offset[row]; 23114078e994SBarry Smith pj = bj + diag_offset[row] + 1; 23127fc0212eSBarry Smith multiplier = *pc * *pv++; 23137fc0212eSBarry Smith *pc = multiplier; 23144078e994SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 23157fc0212eSBarry Smith for (j=0; j<nz; j++) rtmp[pj[j]] -= multiplier * pv[j]; 23164eeb42bcSBarry Smith PLogFlops(1+2*nz); 23177fc0212eSBarry Smith } 23187fc0212eSBarry Smith row = *ajtmp++; 23197fc0212eSBarry Smith } 23207fc0212eSBarry Smith /* finished row so stick it into b->a */ 23214078e994SBarry Smith pv = ba + bi[i]; 23224078e994SBarry Smith pj = bj + bi[i]; 23234078e994SBarry Smith nz = bi[i+1] - bi[i]; 23247fc0212eSBarry Smith for ( j=0; j<nz; j++ ) {pv[j] = rtmp[pj[j]];} 23254078e994SBarry Smith diag = diag_offset[i] - bi[i]; 23267fc0212eSBarry Smith /* check pivot entry for current row */ 23277fc0212eSBarry Smith if (pv[diag] == 0.0) { 2328e3372554SBarry Smith SETERRQ(PETSC_ERR_MAT_LU_ZRPVT,0,"Zero pivot"); 23297fc0212eSBarry Smith } 23307fc0212eSBarry Smith pv[diag] = 1.0/pv[diag]; 23317fc0212eSBarry Smith } 23327fc0212eSBarry Smith 2333606d414cSSatish Balay ierr = PetscFree(rtmp);CHKERRQ(ierr); 23347fc0212eSBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 23357fc0212eSBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 23367fc0212eSBarry Smith C->factor = FACTOR_LU; 23377fc0212eSBarry Smith C->assembled = PETSC_TRUE; 23387fc0212eSBarry Smith PLogFlops(b->n); 23393a40ed3dSBarry Smith PetscFunctionReturn(0); 23407fc0212eSBarry Smith } 23417fc0212eSBarry Smith 23425d517e7eSBarry Smith /* ----------------------------------------------------------- */ 23435615d1e5SSatish Balay #undef __FUNC__ 23445615d1e5SSatish Balay #define __FUNC__ "MatLUFactor_SeqBAIJ" 2345ec3a8b7bSBarry Smith int MatLUFactor_SeqBAIJ(Mat A,IS row,IS col,double f) 23465d517e7eSBarry Smith { 2347ec3a8b7bSBarry Smith Mat_SeqBAIJ *mat = (Mat_SeqBAIJ *) A->data; 23485d517e7eSBarry Smith int ierr; 23495d517e7eSBarry Smith Mat C; 2350f830108cSBarry Smith PetscOps *Abops; 235117642b18SBarry Smith MatOps Aops; 23525d517e7eSBarry Smith 23533a40ed3dSBarry Smith PetscFunctionBegin; 2354f2582111SSatish Balay ierr = MatLUFactorSymbolic(A,row,col,f,&C);CHKERRQ(ierr); 23557fc0212eSBarry Smith ierr = MatLUFactorNumeric(A,&C);CHKERRQ(ierr); 23565d517e7eSBarry Smith 23575d517e7eSBarry Smith /* free all the data structures from mat */ 2358606d414cSSatish Balay ierr = PetscFree(mat->a);CHKERRQ(ierr); 2359606d414cSSatish Balay if (!mat->singlemalloc) { 2360606d414cSSatish Balay ierr = PetscFree(mat->i);CHKERRQ(ierr); 2361606d414cSSatish Balay ierr = PetscFree(mat->j);CHKERRQ(ierr); 2362606d414cSSatish Balay } 2363606d414cSSatish Balay if (mat->diag) {ierr = PetscFree(mat->diag);CHKERRQ(ierr);} 2364606d414cSSatish Balay if (mat->ilen) {ierr = PetscFree(mat->ilen);CHKERRQ(ierr);} 2365606d414cSSatish Balay if (mat->imax) {ierr = PetscFree(mat->imax);CHKERRQ(ierr);} 2366606d414cSSatish Balay if (mat->solve_work) {ierr = PetscFree(mat->solve_work);CHKERRQ(ierr);} 2367606d414cSSatish Balay if (mat->mult_work) {ierr = PetscFree(mat->mult_work);CHKERRQ(ierr);} 2368e93ccc4dSBarry Smith if (mat->icol) {ierr = ISDestroy(mat->icol);CHKERRQ(ierr);} 2369606d414cSSatish Balay ierr = PetscFree(mat);CHKERRQ(ierr); 23705d517e7eSBarry Smith 237117642b18SBarry Smith ierr = MapDestroy(A->rmap);CHKERRQ(ierr); 237217642b18SBarry Smith ierr = MapDestroy(A->cmap);CHKERRQ(ierr); 237317642b18SBarry Smith 2374f830108cSBarry Smith /* 2375f830108cSBarry Smith This is horrible, horrible code. We need to keep the 2376f830108cSBarry Smith A pointers for the bops and ops but copy everything 2377f830108cSBarry Smith else from C. 2378f830108cSBarry Smith */ 2379f830108cSBarry Smith Abops = A->bops; 2380f830108cSBarry Smith Aops = A->ops; 2381549d3d68SSatish Balay ierr = PetscMemcpy(A,C,sizeof(struct _p_Mat));CHKERRQ(ierr); 2382451c4af8SSatish Balay mat = (Mat_SeqBAIJ *) A->data; 2383451c4af8SSatish Balay PLogObjectParent(A,mat->icol); 2384451c4af8SSatish Balay 2385f830108cSBarry Smith A->bops = Abops; 2386f830108cSBarry Smith A->ops = Aops; 238727a8da17SBarry Smith A->qlist = 0; 2388*c38d4ed2SBarry Smith /* copy over the type_name and name */ 2389*c38d4ed2SBarry Smith ierr = PetscStrallocpy(C->type_name,&A->type_name);CHKERRQ(ierr); 2390*c38d4ed2SBarry Smith ierr = PetscStrallocpy(C->name,&A->name);CHKERRQ(ierr); 2391f830108cSBarry Smith 23925d517e7eSBarry Smith PetscHeaderDestroy(C); 23933a40ed3dSBarry Smith PetscFunctionReturn(0); 23945d517e7eSBarry Smith } 23954cd38560SBarry Smith 23964cd38560SBarry Smith 23974cd38560SBarry Smith 2398